id	sid	tid	token	lemma	pos
ap-8428	1	1	acta	acta	PROPN
ap-8428	1	2	polytechnica	polytechnica	PROPN
ap-8428	1	3	https://doi.org/10.14311/ap.2023.63.0050	https://doi.org/10.14311/ap.2023.63.0050	PROPN
ap-8428	1	4	acta	acta	PROPN
ap-8428	1	5	polytechnica	polytechnica	PROPN
ap-8428	1	6	63(1):50–64	63(1):50–64	PROPN
ap-8428	1	7	,	,	PUNCT
ap-8428	1	8	2023	2023	NUM
ap-8428	1	9	©	©	ADP
ap-8428	1	10	2023	2023	NUM
ap-8428	1	11	the	the	DET
ap-8428	1	12	author(s	author(s	NOUN
ap-8428	1	13	)	)	PUNCT
ap-8428	1	14	.	.	PUNCT
ap-8428	2	1	licensed	license	VERB
ap-8428	2	2	under	under	ADP
ap-8428	2	3	a	a	DET
ap-8428	2	4	cc	cc	NOUN
ap-8428	2	5	-	-	PUNCT
ap-8428	2	6	by	by	ADP
ap-8428	2	7	4.0	4.0	NUM
ap-8428	2	8	licence	licence	NOUN
ap-8428	2	9	published	publish	VERB
ap-8428	2	10	by	by	ADP
ap-8428	2	11	the	the	DET
ap-8428	2	12	czech	czech	PROPN
ap-8428	2	13	technical	technical	PROPN
ap-8428	2	14	university	university	PROPN
ap-8428	2	15	in	in	ADP
ap-8428	2	16	prague	prague	PROPN
ap-8428	2	17	comparative	comparative	ADJ
ap-8428	2	18	study	study	NOUN
ap-8428	2	19	of	of	ADP
ap-8428	2	20	state	state	NOUN
ap-8428	2	21	space	space	NOUN
ap-8428	2	22	averaging	averaging	NOUN
ap-8428	2	23	and	and	CCONJ
ap-8428	2	24	pwm	pwm	NOUN
ap-8428	2	25	with	with	ADP
ap-8428	2	26	extra	extra	ADJ
ap-8428	2	27	element	element	NOUN
ap-8428	2	28	theorem	theorem	ADJ
ap-8428	2	29	techniques	technique	NOUN
ap-8428	2	30	for	for	ADP
ap-8428	2	31	complex	complex	ADJ
ap-8428	2	32	cascaded	cascade	VERB
ap-8428	2	33	dc	dc	PROPN
ap-8428	2	34	-	-	PUNCT
ap-8428	2	35	dc	dc	PROPN
ap-8428	2	36	buck	buck	PROPN
ap-8428	2	37	converter	converter	NOUN
ap-8428	2	38	sangeeta	sangeeta	PROPN
ap-8428	2	39	shete∗	shete∗	PROPN
ap-8428	2	40	,	,	PUNCT
ap-8428	2	41	prasad	prasad	PROPN
ap-8428	2	42	joshi	joshi	PROPN
ap-8428	2	43	shivaji	shivaji	PROPN
ap-8428	2	44	university	university	PROPN
ap-8428	2	45	,	,	PUNCT
ap-8428	2	46	government	government	NOUN
ap-8428	2	47	college	college	NOUN
ap-8428	2	48	of	of	ADP
ap-8428	2	49	engineering	engineering	PROPN
ap-8428	2	50	,	,	PUNCT
ap-8428	2	51	department	department	NOUN
ap-8428	2	52	of	of	ADP
ap-8428	2	53	electrical	electrical	ADJ
ap-8428	2	54	engineering	engineering	NOUN
ap-8428	2	55	,	,	PUNCT
ap-8428	2	56	karad	karad	PROPN
ap-8428	2	57	,	,	PUNCT
ap-8428	2	58	maharashtra	maharashtra	PROPN
ap-8428	2	59	,	,	PUNCT
ap-8428	2	60	india	india	PROPN
ap-8428	2	61	∗	∗	NOUN
ap-8428	2	62	corresponding	correspond	VERB
ap-8428	2	63	author	author	NOUN
ap-8428	2	64	:	:	PUNCT
ap-8428	2	65	sangeetashete2019@gmail.com	sangeetashete2019@gmail.com	X
ap-8428	3	1	abstract	abstract	ADJ
ap-8428	3	2	.	.	PUNCT
ap-8428	4	1	until	until	ADP
ap-8428	4	2	now	now	ADV
ap-8428	4	3	,	,	PUNCT
ap-8428	4	4	most	most	ADV
ap-8428	4	5	commonly	commonly	ADV
ap-8428	4	6	used	use	VERB
ap-8428	4	7	state	state	NOUN
ap-8428	4	8	space	space	NOUN
ap-8428	4	9	averaging	averaging	NOUN
ap-8428	4	10	and	and	CCONJ
ap-8428	4	11	pwm	pwm	NOUN
ap-8428	4	12	techniques	technique	NOUN
ap-8428	4	13	have	have	AUX
ap-8428	4	14	been	be	AUX
ap-8428	4	15	applied	apply	VERB
ap-8428	4	16	to	to	ADP
ap-8428	4	17	different	different	ADJ
ap-8428	4	18	converter	converter	NOUN
ap-8428	4	19	topologies	topology	NOUN
ap-8428	4	20	and	and	CCONJ
ap-8428	4	21	their	their	PRON
ap-8428	4	22	advantages	advantage	NOUN
ap-8428	4	23	and	and	CCONJ
ap-8428	4	24	disadvantages	disadvantage	NOUN
ap-8428	4	25	were	be	AUX
ap-8428	4	26	stated	state	VERB
ap-8428	4	27	.	.	PUNCT
ap-8428	5	1	however	however	ADV
ap-8428	5	2	,	,	PUNCT
ap-8428	5	3	the	the	DET
ap-8428	5	4	superiority	superiority	NOUN
ap-8428	5	5	of	of	ADP
ap-8428	5	6	an	an	DET
ap-8428	5	7	analytical	analytical	ADJ
ap-8428	5	8	technique	technique	NOUN
ap-8428	5	9	was	be	AUX
ap-8428	5	10	not	not	PART
ap-8428	5	11	justified	justify	VERB
ap-8428	5	12	based	base	VERB
ap-8428	5	13	on	on	ADP
ap-8428	5	14	a	a	DET
ap-8428	5	15	parametric	parametric	ADJ
ap-8428	5	16	comparison	comparison	NOUN
ap-8428	5	17	of	of	ADP
ap-8428	5	18	these	these	DET
ap-8428	5	19	techniques	technique	NOUN
ap-8428	5	20	for	for	ADP
ap-8428	5	21	the	the	DET
ap-8428	5	22	same	same	ADJ
ap-8428	5	23	converter	converter	NOUN
ap-8428	5	24	topology	topology	NOUN
ap-8428	5	25	.	.	PUNCT
ap-8428	6	1	hence	hence	ADV
ap-8428	6	2	,	,	PUNCT
ap-8428	6	3	in	in	ADP
ap-8428	6	4	this	this	DET
ap-8428	6	5	paper	paper	NOUN
ap-8428	6	6	,	,	PUNCT
ap-8428	6	7	first	first	ADJ
ap-8428	6	8	time	time	NOUN
ap-8428	6	9	a	a	DET
ap-8428	6	10	comparative	comparative	ADJ
ap-8428	6	11	evaluation	evaluation	NOUN
ap-8428	6	12	of	of	ADP
ap-8428	6	13	two	two	NUM
ap-8428	6	14	commonly	commonly	ADV
ap-8428	6	15	used	use	VERB
ap-8428	6	16	modelling	model	VERB
ap-8428	6	17	techniques	technique	NOUN
ap-8428	6	18	for	for	ADP
ap-8428	6	19	fourth	fourth	ADJ
ap-8428	6	20	order	order	NOUN
ap-8428	6	21	converter	converter	NOUN
ap-8428	6	22	is	be	AUX
ap-8428	6	23	presented	present	VERB
ap-8428	6	24	.	.	PUNCT
ap-8428	7	1	the	the	DET
ap-8428	7	2	first	first	ADJ
ap-8428	7	3	approach	approach	NOUN
ap-8428	7	4	makes	make	VERB
ap-8428	7	5	use	use	NOUN
ap-8428	7	6	of	of	ADP
ap-8428	7	7	a	a	DET
ap-8428	7	8	state	state	NOUN
ap-8428	7	9	-	-	PUNCT
ap-8428	7	10	space	space	NOUN
ap-8428	7	11	averaging	averaging	NOUN
ap-8428	7	12	of	of	ADP
ap-8428	7	13	the	the	DET
ap-8428	7	14	converter	converter	NOUN
ap-8428	7	15	and	and	CCONJ
ap-8428	7	16	is	be	AUX
ap-8428	7	17	based	base	VERB
ap-8428	7	18	on	on	ADP
ap-8428	7	19	analytical	analytical	ADJ
ap-8428	7	20	manipulations	manipulation	NOUN
ap-8428	7	21	using	use	VERB
ap-8428	7	22	different	different	ADJ
ap-8428	7	23	state	state	NOUN
ap-8428	7	24	representations	representation	NOUN
ap-8428	7	25	of	of	ADP
ap-8428	7	26	the	the	DET
ap-8428	7	27	converter	converter	NOUN
ap-8428	7	28	.	.	PUNCT
ap-8428	8	1	the	the	DET
ap-8428	8	2	second	second	ADJ
ap-8428	8	3	approach	approach	NOUN
ap-8428	8	4	is	be	AUX
ap-8428	8	5	based	base	VERB
ap-8428	8	6	on	on	ADP
ap-8428	8	7	pwm	pwm	NOUN
ap-8428	8	8	switch	switch	NOUN
ap-8428	8	9	modelling	modelling	NOUN
ap-8428	8	10	with	with	ADP
ap-8428	8	11	an	an	DET
ap-8428	8	12	extra	extra	ADJ
ap-8428	8	13	element	element	NOUN
ap-8428	8	14	theorem	theorem	NOUN
ap-8428	8	15	and	and	CCONJ
ap-8428	8	16	consists	consist	VERB
ap-8428	8	17	of	of	ADP
ap-8428	8	18	topological	topological	ADJ
ap-8428	8	19	manipulations	manipulation	NOUN
ap-8428	8	20	.	.	PUNCT
ap-8428	9	1	the	the	DET
ap-8428	9	2	two	two	NUM
ap-8428	9	3	modelling	modelling	NOUN
ap-8428	9	4	techniques	technique	NOUN
ap-8428	9	5	are	be	AUX
ap-8428	9	6	applied	apply	VERB
ap-8428	9	7	to	to	ADP
ap-8428	9	8	the	the	DET
ap-8428	9	9	same	same	ADJ
ap-8428	9	10	complex	complex	NOUN
ap-8428	9	11	cascaded	cascade	VERB
ap-8428	9	12	dc	dc	PROPN
ap-8428	9	13	-	-	PUNCT
ap-8428	9	14	dc	dc	PROPN
ap-8428	9	15	buck	buck	NOUN
ap-8428	9	16	converter	converter	NOUN
ap-8428	9	17	and	and	CCONJ
ap-8428	9	18	a	a	DET
ap-8428	9	19	transfer	transfer	NOUN
ap-8428	9	20	function	function	NOUN
ap-8428	9	21	is	be	AUX
ap-8428	9	22	obtained	obtain	VERB
ap-8428	9	23	.	.	PUNCT
ap-8428	10	1	these	these	DET
ap-8428	10	2	techniques	technique	NOUN
ap-8428	10	3	are	be	AUX
ap-8428	10	4	compared	compare	VERB
ap-8428	10	5	for	for	ADP
ap-8428	10	6	different	different	ADJ
ap-8428	10	7	features	feature	NOUN
ap-8428	10	8	and	and	CCONJ
ap-8428	10	9	the	the	DET
ap-8428	10	10	study	study	NOUN
ap-8428	10	11	concludes	conclude	VERB
ap-8428	10	12	that	that	SCONJ
ap-8428	10	13	state	state	NOUN
ap-8428	10	14	space	space	NOUN
ap-8428	10	15	modelling	modelling	NOUN
ap-8428	10	16	technique	technique	NOUN
ap-8428	10	17	is	be	AUX
ap-8428	10	18	systematic	systematic	ADJ
ap-8428	10	19	and	and	CCONJ
ap-8428	10	20	less	less	ADV
ap-8428	10	21	complicated	complicated	ADJ
ap-8428	10	22	than	than	ADP
ap-8428	10	23	pwm	pwm	NOUN
ap-8428	10	24	switch	switch	NOUN
ap-8428	10	25	modelling	modelling	NOUN
ap-8428	10	26	with	with	ADP
ap-8428	10	27	an	an	DET
ap-8428	10	28	extra	extra	ADJ
ap-8428	10	29	element	element	NOUN
ap-8428	10	30	theorem	theorem	NOUN
ap-8428	10	31	for	for	ADP
ap-8428	10	32	a	a	DET
ap-8428	10	33	higher	high	ADJ
ap-8428	10	34	order	order	NOUN
ap-8428	10	35	converter	converter	NOUN
ap-8428	10	36	.	.	PUNCT
ap-8428	11	1	keywords	keyword	NOUN
ap-8428	11	2	:	:	PUNCT
ap-8428	11	3	analytical	analytical	ADJ
ap-8428	11	4	technique	technique	NOUN
ap-8428	11	5	,	,	PUNCT
ap-8428	11	6	cascaded	cascade	VERB
ap-8428	11	7	dc	dc	PROPN
ap-8428	11	8	-	-	PUNCT
ap-8428	11	9	dc	dc	PROPN
ap-8428	11	10	buck	buck	NOUN
ap-8428	11	11	converter	converter	NOUN
ap-8428	11	12	,	,	PUNCT
ap-8428	11	13	state	state	NOUN
ap-8428	11	14	space	space	NOUN
ap-8428	11	15	averaging	averaging	NOUN
ap-8428	11	16	,	,	PUNCT
ap-8428	11	17	pwm	pwm	NOUN
ap-8428	11	18	switch	switch	NOUN
ap-8428	11	19	modelling	modelling	NOUN
ap-8428	11	20	,	,	PUNCT
ap-8428	11	21	extra	extra	ADJ
ap-8428	11	22	element	element	NOUN
ap-8428	11	23	theorem	theorem	NOUN
ap-8428	11	24	,	,	PUNCT
ap-8428	11	25	transfer	transfer	NOUN
ap-8428	11	26	function	function	NOUN
ap-8428	11	27	.	.	PUNCT
ap-8428	12	1	1	1	X
ap-8428	12	2	.	.	X
ap-8428	12	3	introduction	introduction	NOUN
ap-8428	12	4	analytical	analytical	ADJ
ap-8428	12	5	techniques	technique	NOUN
ap-8428	12	6	play	play	VERB
ap-8428	12	7	a	a	DET
ap-8428	12	8	vital	vital	ADJ
ap-8428	12	9	role	role	NOUN
ap-8428	12	10	in	in	ADP
ap-8428	12	11	analysing	analyse	VERB
ap-8428	12	12	the	the	DET
ap-8428	12	13	behaviour	behaviour	NOUN
ap-8428	12	14	of	of	ADP
ap-8428	12	15	converters	converter	NOUN
ap-8428	12	16	under	under	ADP
ap-8428	12	17	different	different	ADJ
ap-8428	12	18	conditions	condition	NOUN
ap-8428	12	19	,	,	PUNCT
ap-8428	12	20	performance	performance	NOUN
ap-8428	12	21	improvements	improvement	NOUN
ap-8428	12	22	and	and	CCONJ
ap-8428	12	23	design	design	NOUN
ap-8428	12	24	aspects	aspect	NOUN
ap-8428	12	25	.	.	PUNCT
ap-8428	13	1	dc	dc	PROPN
ap-8428	13	2	-	-	PUNCT
ap-8428	13	3	dc	dc	PROPN
ap-8428	13	4	converters	converter	NOUN
ap-8428	13	5	have	have	VERB
ap-8428	13	6	a	a	DET
ap-8428	13	7	high	high	ADJ
ap-8428	13	8	number	number	NOUN
ap-8428	13	9	of	of	ADP
ap-8428	13	10	components	component	NOUN
ap-8428	13	11	and	and	CCONJ
ap-8428	13	12	nonlinear	nonlinear	ADJ
ap-8428	13	13	behaviour	behaviour	NOUN
ap-8428	13	14	due	due	ADP
ap-8428	13	15	to	to	ADP
ap-8428	13	16	the	the	DET
ap-8428	13	17	existence	existence	NOUN
ap-8428	13	18	of	of	ADP
ap-8428	13	19	a	a	DET
ap-8428	13	20	switch	switch	NOUN
ap-8428	13	21	and	and	CCONJ
ap-8428	13	22	diode	diode	VERB
ap-8428	13	23	in	in	ADP
ap-8428	13	24	circuit	circuit	NOUN
ap-8428	13	25	,	,	PUNCT
ap-8428	13	26	which	which	PRON
ap-8428	13	27	makes	make	VERB
ap-8428	13	28	them	they	PRON
ap-8428	13	29	complex	complex	ADJ
ap-8428	13	30	in	in	ADP
ap-8428	13	31	nature	nature	NOUN
ap-8428	13	32	.	.	PUNCT
ap-8428	14	1	a	a	DET
ap-8428	14	2	study	study	NOUN
ap-8428	14	3	of	of	ADP
ap-8428	14	4	dynamic	dynamic	ADJ
ap-8428	14	5	behaviour	behaviour	NOUN
ap-8428	14	6	and	and	CCONJ
ap-8428	14	7	assessment	assessment	NOUN
ap-8428	14	8	of	of	ADP
ap-8428	14	9	stability	stability	NOUN
ap-8428	14	10	of	of	ADP
ap-8428	14	11	such	such	ADJ
ap-8428	14	12	nonlinear	nonlinear	ADJ
ap-8428	14	13	and	and	CCONJ
ap-8428	14	14	complex	complex	ADJ
ap-8428	14	15	circuits	circuit	NOUN
ap-8428	14	16	is	be	AUX
ap-8428	14	17	a	a	DET
ap-8428	14	18	very	very	ADV
ap-8428	14	19	challenging	challenging	ADJ
ap-8428	14	20	job	job	NOUN
ap-8428	14	21	.	.	PUNCT
ap-8428	15	1	article	article	NOUN
ap-8428	15	2	[	[	X
ap-8428	15	3	1	1	X
ap-8428	15	4	]	]	PUNCT
ap-8428	15	5	presented	present	VERB
ap-8428	15	6	the	the	DET
ap-8428	15	7	review	review	NOUN
ap-8428	15	8	of	of	ADP
ap-8428	15	9	existing	exist	VERB
ap-8428	15	10	analytical	analytical	ADJ
ap-8428	15	11	techniques	technique	NOUN
ap-8428	15	12	in	in	ADP
ap-8428	15	13	a	a	DET
ap-8428	15	14	structured	structured	ADJ
ap-8428	15	15	and	and	CCONJ
ap-8428	15	16	meaningful	meaningful	ADJ
ap-8428	15	17	manner	manner	NOUN
ap-8428	15	18	and	and	CCONJ
ap-8428	15	19	stated	state	VERB
ap-8428	15	20	that	that	SCONJ
ap-8428	15	21	the	the	DET
ap-8428	15	22	circuit	circuit	NOUN
ap-8428	15	23	averaging	averaging	NOUN
ap-8428	15	24	(	(	PUNCT
ap-8428	15	25	ca	ca	NOUN
ap-8428	15	26	)	)	PUNCT
ap-8428	15	27	,	,	PUNCT
ap-8428	15	28	state	state	NOUN
ap-8428	15	29	space	space	NOUN
ap-8428	15	30	averaging	averaging	NOUN
ap-8428	15	31	(	(	PUNCT
ap-8428	15	32	ssa	ssa	NOUN
ap-8428	15	33	)	)	PUNCT
ap-8428	15	34	,	,	PUNCT
ap-8428	15	35	and	and	CCONJ
ap-8428	15	36	pwm	pwm	NOUN
ap-8428	15	37	switch	switch	NOUN
ap-8428	15	38	modelling	modelling	NOUN
ap-8428	15	39	are	be	AUX
ap-8428	15	40	most	most	ADV
ap-8428	15	41	commonly	commonly	ADV
ap-8428	15	42	used	use	VERB
ap-8428	15	43	analytical	analytical	ADJ
ap-8428	15	44	techniques	technique	NOUN
ap-8428	15	45	,	,	PUNCT
ap-8428	15	46	whereas	whereas	SCONJ
ap-8428	15	47	signal	signal	VERB
ap-8428	15	48	flow	flow	NOUN
ap-8428	15	49	graphs	graph	NOUN
ap-8428	15	50	,	,	PUNCT
ap-8428	15	51	energy	energy	NOUN
ap-8428	15	52	factor	factor	NOUN
ap-8428	15	53	,	,	PUNCT
ap-8428	15	54	switching	switch	VERB
ap-8428	15	55	function	function	NOUN
ap-8428	15	56	,	,	PUNCT
ap-8428	15	57	s	s	NOUN
ap-8428	15	58	-	-	PUNCT
ap-8428	15	59	z	z	NOUN
ap-8428	15	60	method	method	NOUN
ap-8428	15	61	are	be	AUX
ap-8428	15	62	special	special	ADJ
ap-8428	15	63	techniques	technique	NOUN
ap-8428	15	64	.	.	PUNCT
ap-8428	16	1	ssa	ssa	NOUN
ap-8428	16	2	is	be	AUX
ap-8428	16	3	an	an	DET
ap-8428	16	4	organised	organise	VERB
ap-8428	16	5	method	method	NOUN
ap-8428	16	6	which	which	PRON
ap-8428	16	7	allows	allow	VERB
ap-8428	16	8	the	the	DET
ap-8428	16	9	inclusion	inclusion	NOUN
ap-8428	16	10	of	of	ADP
ap-8428	16	11	parasitic	parasitic	ADJ
ap-8428	16	12	elements	element	NOUN
ap-8428	16	13	of	of	ADP
ap-8428	16	14	a	a	DET
ap-8428	16	15	circuit	circuit	NOUN
ap-8428	16	16	even	even	ADV
ap-8428	16	17	in	in	ADP
ap-8428	16	18	the	the	DET
ap-8428	16	19	initial	initial	ADJ
ap-8428	16	20	stage	stage	NOUN
ap-8428	16	21	,	,	PUNCT
ap-8428	16	22	permits	permit	VERB
ap-8428	16	23	to	to	PART
ap-8428	16	24	explore	explore	VERB
ap-8428	16	25	a	a	DET
ap-8428	16	26	linear	linear	ADJ
ap-8428	16	27	system	system	NOUN
ap-8428	16	28	with	with	ADP
ap-8428	16	29	a	a	DET
ap-8428	16	30	zero	zero	NUM
ap-8428	16	31	initial	initial	ADJ
ap-8428	16	32	condition	condition	NOUN
ap-8428	16	33	and	and	CCONJ
ap-8428	16	34	nonlinear	nonlinear	ADJ
ap-8428	16	35	systems	system	NOUN
ap-8428	16	36	with	with	ADP
ap-8428	16	37	all	all	DET
ap-8428	16	38	initial	initial	ADJ
ap-8428	16	39	conditions	condition	NOUN
ap-8428	16	40	[	[	X
ap-8428	16	41	2–4	2–4	NUM
ap-8428	16	42	]	]	PUNCT
ap-8428	16	43	.	.	PUNCT
ap-8428	17	1	it	it	PRON
ap-8428	17	2	is	be	AUX
ap-8428	17	3	preferred	prefer	VERB
ap-8428	17	4	to	to	PART
ap-8428	17	5	design	design	VERB
ap-8428	17	6	a	a	DET
ap-8428	17	7	robust	robust	ADJ
ap-8428	17	8	controller	controller	NOUN
ap-8428	17	9	.	.	PUNCT
ap-8428	18	1	however	however	ADV
ap-8428	18	2	,	,	PUNCT
ap-8428	18	3	as	as	SCONJ
ap-8428	18	4	it	it	PRON
ap-8428	18	5	does	do	AUX
ap-8428	18	6	n’t	not	PART
ap-8428	18	7	consider	consider	VERB
ap-8428	18	8	switching	switch	VERB
ap-8428	18	9	frequency	frequency	NOUN
ap-8428	18	10	in	in	ADP
ap-8428	18	11	the	the	DET
ap-8428	18	12	analysis	analysis	NOUN
ap-8428	18	13	,	,	PUNCT
ap-8428	18	14	this	this	DET
ap-8428	18	15	technique	technique	NOUN
ap-8428	18	16	is	be	AUX
ap-8428	18	17	applied	apply	VERB
ap-8428	18	18	by	by	ADP
ap-8428	18	19	neglecting	neglect	VERB
ap-8428	18	20	the	the	DET
ap-8428	18	21	ripple	ripple	ADJ
ap-8428	18	22	effect	effect	NOUN
ap-8428	18	23	on	on	ADP
ap-8428	18	24	inductor	inductor	NOUN
ap-8428	18	25	current	current	ADJ
ap-8428	18	26	and	and	CCONJ
ap-8428	18	27	output	output	NOUN
ap-8428	18	28	voltage	voltage	NOUN
ap-8428	18	29	[	[	X
ap-8428	18	30	5	5	NUM
ap-8428	18	31	,	,	PUNCT
ap-8428	18	32	6	6	NUM
ap-8428	18	33	]	]	PUNCT
ap-8428	18	34	,	,	PUNCT
ap-8428	18	35	which	which	PRON
ap-8428	18	36	affects	affect	VERB
ap-8428	18	37	its	its	PRON
ap-8428	18	38	accuracy	accuracy	NOUN
ap-8428	19	1	[	[	X
ap-8428	19	2	7–9	7–9	NUM
ap-8428	19	3	]	]	X
ap-8428	19	4	.	.	PUNCT
ap-8428	20	1	state	state	NOUN
ap-8428	20	2	space	space	NOUN
ap-8428	20	3	representation	representation	NOUN
ap-8428	20	4	is	be	AUX
ap-8428	20	5	used	use	VERB
ap-8428	20	6	for	for	ADP
ap-8428	20	7	mathematical	mathematical	ADJ
ap-8428	20	8	modelling	modelling	NOUN
ap-8428	20	9	of	of	ADP
ap-8428	20	10	sepic	sepic	ADJ
ap-8428	20	11	converter	converter	NOUN
ap-8428	20	12	,	,	PUNCT
ap-8428	20	13	which	which	PRON
ap-8428	20	14	is	be	AUX
ap-8428	20	15	further	far	ADV
ap-8428	20	16	used	use	VERB
ap-8428	20	17	to	to	PART
ap-8428	20	18	contrivance	contrivance	VERB
ap-8428	20	19	the	the	DET
ap-8428	20	20	controller	controller	NOUN
ap-8428	20	21	.	.	PUNCT
ap-8428	21	1	the	the	DET
ap-8428	21	2	results	result	NOUN
ap-8428	21	3	of	of	ADP
ap-8428	21	4	pi	pi	NOUN
ap-8428	21	5	controls	control	NOUN
ap-8428	21	6	and	and	CCONJ
ap-8428	21	7	hysteresis	hysteresis	NOUN
ap-8428	21	8	controls	control	NOUN
ap-8428	21	9	are	be	AUX
ap-8428	21	10	compared	compare	VERB
ap-8428	21	11	using	use	VERB
ap-8428	21	12	psim	psim	NOUN
ap-8428	21	13	software	software	NOUN
ap-8428	21	14	[	[	X
ap-8428	21	15	10	10	NUM
ap-8428	21	16	]	]	PUNCT
ap-8428	21	17	.	.	PUNCT
ap-8428	22	1	the	the	DET
ap-8428	22	2	pwm	pwm	NOUN
ap-8428	22	3	switch	switch	NOUN
ap-8428	22	4	modelling	model	VERB
ap-8428	22	5	technique	technique	NOUN
ap-8428	22	6	employs	employ	VERB
ap-8428	22	7	determination	determination	NOUN
ap-8428	22	8	of	of	ADP
ap-8428	22	9	invariant	invariant	ADJ
ap-8428	22	10	properties	property	NOUN
ap-8428	22	11	of	of	ADP
ap-8428	22	12	the	the	DET
ap-8428	22	13	pwm	pwm	NOUN
ap-8428	22	14	switch	switch	NOUN
ap-8428	22	15	to	to	PART
ap-8428	22	16	obtain	obtain	VERB
ap-8428	22	17	the	the	DET
ap-8428	22	18	average	average	ADJ
ap-8428	22	19	model	model	NOUN
ap-8428	22	20	of	of	ADP
ap-8428	22	21	circuit	circuit	NOUN
ap-8428	22	22	and	and	CCONJ
ap-8428	22	23	small	small	ADJ
ap-8428	22	24	signal	signal	NOUN
ap-8428	22	25	characteristics	characteristic	NOUN
ap-8428	22	26	can	can	AUX
ap-8428	22	27	be	be	AUX
ap-8428	22	28	obtained	obtain	VERB
ap-8428	22	29	from	from	ADP
ap-8428	22	30	this	this	DET
ap-8428	22	31	average	average	ADJ
ap-8428	22	32	model	model	NOUN
ap-8428	22	33	[	[	X
ap-8428	22	34	11	11	NUM
ap-8428	22	35	]	]	PUNCT
ap-8428	22	36	.	.	PUNCT
ap-8428	23	1	pwm	pwm	NOUN
ap-8428	23	2	technique	technique	NOUN
ap-8428	23	3	with	with	ADP
ap-8428	23	4	conventional	conventional	ADJ
ap-8428	23	5	approach	approach	NOUN
ap-8428	23	6	is	be	AUX
ap-8428	23	7	simple	simple	ADJ
ap-8428	23	8	and	and	CCONJ
ap-8428	23	9	pedagogical	pedagogical	ADJ
ap-8428	23	10	approach	approach	NOUN
ap-8428	23	11	of	of	ADP
ap-8428	23	12	analysis	analysis	NOUN
ap-8428	23	13	and	and	CCONJ
ap-8428	23	14	provides	provide	VERB
ap-8428	23	15	complete	complete	ADJ
ap-8428	23	16	information	information	NOUN
ap-8428	23	17	about	about	ADP
ap-8428	23	18	steady	steady	ADJ
ap-8428	23	19	state	state	NOUN
ap-8428	23	20	and	and	CCONJ
ap-8428	23	21	dynamic	dynamic	ADJ
ap-8428	23	22	properties	property	NOUN
ap-8428	23	23	of	of	ADP
ap-8428	23	24	the	the	DET
ap-8428	23	25	converter	converter	NOUN
ap-8428	23	26	.	.	PUNCT
ap-8428	24	1	this	this	DET
ap-8428	24	2	approach	approach	NOUN
ap-8428	24	3	is	be	AUX
ap-8428	24	4	also	also	ADV
ap-8428	24	5	useful	useful	ADJ
ap-8428	24	6	for	for	ADP
ap-8428	24	7	frequency	frequency	NOUN
ap-8428	24	8	domain	domain	NOUN
ap-8428	24	9	analysis	analysis	NOUN
ap-8428	24	10	and	and	CCONJ
ap-8428	24	11	quasi	quasi	ADJ
ap-8428	24	12	resonant	resonant	NOUN
ap-8428	24	13	converters	converter	NOUN
ap-8428	24	14	.	.	PUNCT
ap-8428	25	1	pwm	pwm	NOUN
ap-8428	25	2	technique	technique	NOUN
ap-8428	25	3	using	use	VERB
ap-8428	25	4	extra	extra	ADJ
ap-8428	25	5	element	element	NOUN
ap-8428	25	6	theorem	theorem	NOUN
ap-8428	25	7	(	(	PUNCT
ap-8428	25	8	eet	eet	X
ap-8428	25	9	)	)	PUNCT
ap-8428	25	10	is	be	AUX
ap-8428	25	11	more	more	ADV
ap-8428	25	12	efficient	efficient	ADJ
ap-8428	25	13	and	and	CCONJ
ap-8428	25	14	practical	practical	ADJ
ap-8428	25	15	for	for	ADP
ap-8428	25	16	general	general	ADJ
ap-8428	25	17	circuits	circuit	NOUN
ap-8428	25	18	,	,	PUNCT
ap-8428	25	19	as	as	SCONJ
ap-8428	25	20	it	it	PRON
ap-8428	25	21	leads	lead	VERB
ap-8428	25	22	to	to	ADP
ap-8428	25	23	a	a	DET
ap-8428	25	24	faster	fast	ADJ
ap-8428	25	25	analysis	analysis	NOUN
ap-8428	25	26	due	due	ADJ
ap-8428	25	27	to	to	ADP
ap-8428	25	28	a	a	DET
ap-8428	25	29	reduced	reduce	VERB
ap-8428	25	30	mathematical	mathematical	ADJ
ap-8428	25	31	manipulation	manipulation	NOUN
ap-8428	25	32	,	,	PUNCT
ap-8428	25	33	meaningful	meaningful	ADJ
ap-8428	25	34	form	form	NOUN
ap-8428	25	35	of	of	ADP
ap-8428	25	36	expressions	expression	NOUN
ap-8428	25	37	and	and	CCONJ
ap-8428	25	38	it	it	PRON
ap-8428	25	39	is	be	AUX
ap-8428	25	40	easy	easy	ADJ
ap-8428	25	41	to	to	PART
ap-8428	25	42	track	track	VERB
ap-8428	25	43	the	the	DET
ap-8428	25	44	errors	error	NOUN
ap-8428	25	45	[	[	X
ap-8428	25	46	12	12	NUM
ap-8428	25	47	]	]	PUNCT
ap-8428	25	48	.	.	PUNCT
ap-8428	26	1	an	an	DET
ap-8428	26	2	enormous	enormous	ADJ
ap-8428	26	3	study	study	NOUN
ap-8428	26	4	has	have	AUX
ap-8428	26	5	been	be	AUX
ap-8428	26	6	conducted	conduct	VERB
ap-8428	26	7	regarding	regard	VERB
ap-8428	26	8	ssa	ssa	NOUN
ap-8428	26	9	and	and	CCONJ
ap-8428	26	10	pwm	pwm	NOUN
ap-8428	26	11	switch	switch	NOUN
ap-8428	26	12	modelling	model	VERB
ap-8428	26	13	techniques	technique	NOUN
ap-8428	26	14	for	for	ADP
ap-8428	26	15	converters	converter	NOUN
ap-8428	26	16	.	.	PUNCT
ap-8428	27	1	article	article	NOUN
ap-8428	27	2	[	[	X
ap-8428	27	3	2	2	NUM
ap-8428	27	4	]	]	PUNCT
ap-8428	27	5	investigated	investigate	VERB
ap-8428	27	6	dynamic	dynamic	ADJ
ap-8428	27	7	modelling	modelling	NOUN
ap-8428	27	8	of	of	ADP
ap-8428	27	9	zeta	zeta	PROPN
ap-8428	27	10	converter	converter	NOUN
ap-8428	27	11	,	,	PUNCT
ap-8428	27	12	wherein	wherein	ADJ
ap-8428	27	13	transfer	transfer	NOUN
ap-8428	27	14	functions	function	NOUN
ap-8428	27	15	,	,	PUNCT
ap-8428	27	16	bode	bode	ADJ
ap-8428	27	17	plot	plot	NOUN
ap-8428	27	18	,	,	PUNCT
ap-8428	27	19	transient	transient	ADJ
ap-8428	27	20	response	response	NOUN
ap-8428	27	21	and	and	CCONJ
ap-8428	27	22	steady	steady	ADJ
ap-8428	27	23	state	state	NOUN
ap-8428	27	24	response	response	NOUN
ap-8428	27	25	were	be	AUX
ap-8428	27	26	obtained	obtain	VERB
ap-8428	27	27	using	use	VERB
ap-8428	27	28	matlab	matlab	PROPN
ap-8428	27	29	and	and	CCONJ
ap-8428	27	30	pspice	pspice	PROPN
ap-8428	27	31	.	.	PUNCT
ap-8428	28	1	article	article	NOUN
ap-8428	28	2	[	[	X
ap-8428	28	3	13	13	NUM
ap-8428	28	4	]	]	PUNCT
ap-8428	28	5	obtained	obtain	VERB
ap-8428	28	6	state	state	NOUN
ap-8428	28	7	equations	equation	NOUN
ap-8428	28	8	and	and	CCONJ
ap-8428	28	9	output	output	NOUN
ap-8428	28	10	equations	equation	NOUN
ap-8428	28	11	using	use	VERB
ap-8428	28	12	ssa	ssa	NOUN
ap-8428	28	13	technique	technique	NOUN
ap-8428	28	14	for	for	ADP
ap-8428	28	15	buck	buck	NOUN
ap-8428	28	16	,	,	PUNCT
ap-8428	28	17	boost	boost	NOUN
ap-8428	28	18	and	and	CCONJ
ap-8428	28	19	buck	buck	NOUN
ap-8428	28	20	-	-	PUNCT
ap-8428	28	21	boost	boost	NOUN
ap-8428	28	22	converter	converter	NOUN
ap-8428	28	23	and	and	CCONJ
ap-8428	28	24	observed	observe	VERB
ap-8428	28	25	that	that	SCONJ
ap-8428	28	26	the	the	DET
ap-8428	28	27	state	state	NOUN
ap-8428	28	28	space	space	NOUN
ap-8428	28	29	model	model	NOUN
ap-8428	28	30	simulation	simulation	NOUN
ap-8428	28	31	results	result	NOUN
ap-8428	28	32	are	be	AUX
ap-8428	28	33	comparable	comparable	ADJ
ap-8428	28	34	with	with	ADP
ap-8428	28	35	a	a	DET
ap-8428	28	36	hardware	hardware	NOUN
ap-8428	28	37	model	model	NOUN
ap-8428	28	38	with	with	ADP
ap-8428	28	39	a	a	DET
ap-8428	28	40	deviation	deviation	NOUN
ap-8428	28	41	of	of	ADP
ap-8428	28	42	only	only	ADV
ap-8428	28	43	0.0015v	0.0015v	NOUN
ap-8428	28	44	.	.	PUNCT
ap-8428	29	1	however	however	ADV
ap-8428	29	2	,	,	PUNCT
ap-8428	29	3	this	this	DET
ap-8428	29	4	technique	technique	NOUN
ap-8428	29	5	does	do	AUX
ap-8428	29	6	n’t	not	PART
ap-8428	29	7	simulate	simulate	VERB
ap-8428	29	8	ripple	ripple	ADJ
ap-8428	29	9	effect	effect	NOUN
ap-8428	29	10	of	of	ADP
ap-8428	29	11	inductor	inductor	NOUN
ap-8428	29	12	current	current	ADJ
ap-8428	29	13	and	and	CCONJ
ap-8428	29	14	output	output	NOUN
ap-8428	29	15	voltage	voltage	NOUN
ap-8428	29	16	due	due	ADP
ap-8428	29	17	to	to	ADP
ap-8428	29	18	the	the	DET
ap-8428	29	19	absence	absence	NOUN
ap-8428	29	20	of	of	ADP
ap-8428	29	21	switching	switch	VERB
ap-8428	29	22	frequency	frequency	NOUN
ap-8428	29	23	.	.	PUNCT
ap-8428	30	1	article	article	NOUN
ap-8428	30	2	[	[	X
ap-8428	30	3	14	14	NUM
ap-8428	30	4	]	]	PUNCT
ap-8428	30	5	analysed	analyse	VERB
ap-8428	30	6	sepic	sepic	ADJ
ap-8428	30	7	converter	converter	NOUN
ap-8428	30	8	using	use	VERB
ap-8428	30	9	an	an	DET
ap-8428	30	10	average	average	ADJ
ap-8428	30	11	state	state	NOUN
ap-8428	30	12	-	-	PUNCT
ap-8428	30	13	space	space	NOUN
ap-8428	30	14	modelling	modelling	NOUN
ap-8428	30	15	approach	approach	NOUN
ap-8428	30	16	taking	take	VERB
ap-8428	30	17	into	into	ADP
ap-8428	30	18	account	account	NOUN
ap-8428	30	19	power	power	NOUN
ap-8428	30	20	losses	loss	NOUN
ap-8428	30	21	in	in	ADP
ap-8428	30	22	converter	converter	NOUN
ap-8428	30	23	elements	element	NOUN
ap-8428	31	1	and	and	CCONJ
ap-8428	31	2	concluded	conclude	VERB
ap-8428	31	3	that	that	SCONJ
ap-8428	31	4	this	this	DET
ap-8428	31	5	methodology	methodology	NOUN
ap-8428	31	6	50	50	NUM
ap-8428	31	7	https://doi.org/10.14311/ap.2023.63.0050	https://doi.org/10.14311/ap.2023.63.0050	PROPN
ap-8428	31	8	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-8428	31	9	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-8428	31	10	vol	vol	NOUN
ap-8428	31	11	.	.	PROPN
ap-8428	31	12	63	63	NUM
ap-8428	31	13	no	no	NOUN
ap-8428	31	14	.	.	PUNCT
ap-8428	32	1	1/2023	1/2023	NUM
ap-8428	32	2	comparative	comparative	ADJ
ap-8428	32	3	study	study	NOUN
ap-8428	32	4	of	of	ADP
ap-8428	32	5	state	state	NOUN
ap-8428	32	6	space	space	NOUN
ap-8428	32	7	averaging	averaging	NOUN
ap-8428	32	8	and	and	CCONJ
ap-8428	32	9	pwm	pwm	NOUN
ap-8428	32	10	.	.	PUNCT
ap-8428	32	11	.	.	PUNCT
ap-8428	32	12	.	.	PUNCT
ap-8428	32	13	contributes	contribute	VERB
ap-8428	32	14	for	for	ADP
ap-8428	32	15	converter	converter	NOUN
ap-8428	32	16	design	design	NOUN
ap-8428	32	17	as	as	ADP
ap-8428	32	18	per	per	ADP
ap-8428	32	19	the	the	DET
ap-8428	32	20	requirements	requirement	NOUN
ap-8428	32	21	and	and	CCONJ
ap-8428	32	22	reduces	reduce	VERB
ap-8428	32	23	the	the	DET
ap-8428	32	24	need	need	NOUN
ap-8428	32	25	for	for	ADP
ap-8428	32	26	accurate	accurate	ADJ
ap-8428	32	27	time	time	NOUN
ap-8428	32	28	domain	domain	NOUN
ap-8428	32	29	simulations	simulation	NOUN
ap-8428	32	30	.	.	PUNCT
ap-8428	33	1	mathematical	mathematical	ADJ
ap-8428	33	2	modelling	modelling	NOUN
ap-8428	33	3	of	of	ADP
ap-8428	33	4	dc	dc	PROPN
ap-8428	33	5	-	-	PUNCT
ap-8428	33	6	dc	dc	PROPN
ap-8428	33	7	buck	buck	NOUN
ap-8428	33	8	converter	converter	NOUN
ap-8428	33	9	using	use	VERB
ap-8428	33	10	state	state	NOUN
ap-8428	33	11	space	space	NOUN
ap-8428	33	12	averaging	averaging	NOUN
ap-8428	33	13	and	and	CCONJ
ap-8428	33	14	validation	validation	NOUN
ap-8428	33	15	of	of	ADP
ap-8428	33	16	the	the	DET
ap-8428	33	17	models	model	NOUN
ap-8428	33	18	was	be	AUX
ap-8428	33	19	performed	perform	VERB
ap-8428	33	20	using	use	VERB
ap-8428	33	21	psim	psim	NOUN
ap-8428	33	22	and	and	CCONJ
ap-8428	33	23	matlab	matlab	PROPN
ap-8428	33	24	simulink	simulink	PROPN
ap-8428	34	1	[	[	X
ap-8428	34	2	15	15	NUM
ap-8428	34	3	]	]	PUNCT
ap-8428	34	4	.	.	PUNCT
ap-8428	35	1	the	the	DET
ap-8428	35	2	studies	study	NOUN
ap-8428	35	3	were	be	AUX
ap-8428	35	4	performed	perform	VERB
ap-8428	35	5	for	for	ADP
ap-8428	35	6	state	state	NOUN
ap-8428	35	7	space	space	NOUN
ap-8428	35	8	small	small	ADJ
ap-8428	35	9	signal	signal	NOUN
ap-8428	35	10	modelling	modelling	NOUN
ap-8428	35	11	of	of	ADP
ap-8428	35	12	a	a	DET
ap-8428	35	13	double	double	ADJ
ap-8428	35	14	boost	boost	NOUN
ap-8428	35	15	converter	converter	NOUN
ap-8428	35	16	integrated	integrate	VERB
ap-8428	35	17	with	with	ADP
ap-8428	35	18	sepic	sepic	ADJ
ap-8428	35	19	converter	converter	NOUN
ap-8428	35	20	[	[	X
ap-8428	35	21	3	3	NUM
ap-8428	35	22	,	,	PUNCT
ap-8428	35	23	16	16	NUM
ap-8428	35	24	,	,	PUNCT
ap-8428	35	25	17	17	NUM
ap-8428	35	26	]	]	PUNCT
ap-8428	35	27	,	,	PUNCT
ap-8428	35	28	and	and	CCONJ
ap-8428	35	29	sepic	sepic	ADJ
ap-8428	35	30	converter	converter	NOUN
ap-8428	35	31	with	with	ADP
ap-8428	35	32	coupled	couple	VERB
ap-8428	35	33	and	and	CCONJ
ap-8428	35	34	uncoupled	uncoupled	ADJ
ap-8428	35	35	inductor	inductor	NOUN
ap-8428	35	36	[	[	X
ap-8428	35	37	18	18	NUM
ap-8428	35	38	]	]	PUNCT
ap-8428	35	39	.	.	PUNCT
ap-8428	36	1	book	book	NOUN
ap-8428	37	1	[	[	X
ap-8428	37	2	19	19	NUM
ap-8428	37	3	]	]	PUNCT
ap-8428	37	4	presented	present	VERB
ap-8428	37	5	the	the	DET
ap-8428	37	6	well	well	ADV
ap-8428	37	7	-	-	PUNCT
ap-8428	37	8	defined	define	VERB
ap-8428	37	9	and	and	CCONJ
ap-8428	37	10	systematic	systematic	ADJ
ap-8428	37	11	process	process	NOUN
ap-8428	37	12	of	of	ADP
ap-8428	37	13	small	small	ADJ
ap-8428	37	14	signal	signal	NOUN
ap-8428	37	15	analysis	analysis	NOUN
ap-8428	37	16	of	of	ADP
ap-8428	37	17	nonlinear	nonlinear	ADJ
ap-8428	37	18	circuits	circuit	NOUN
ap-8428	37	19	using	use	VERB
ap-8428	37	20	state	state	NOUN
ap-8428	37	21	space	space	NOUN
ap-8428	37	22	analysis	analysis	NOUN
ap-8428	37	23	to	to	PART
ap-8428	37	24	determine	determine	VERB
ap-8428	37	25	the	the	DET
ap-8428	37	26	control	control	NOUN
ap-8428	37	27	to	to	PART
ap-8428	37	28	output	output	NOUN
ap-8428	37	29	transfer	transfer	NOUN
ap-8428	37	30	function	function	NOUN
ap-8428	37	31	.	.	PUNCT
ap-8428	38	1	the	the	DET
ap-8428	38	2	concepts	concept	NOUN
ap-8428	38	3	and	and	CCONJ
ap-8428	38	4	mathematical	mathematical	ADJ
ap-8428	38	5	modelling	modelling	NOUN
ap-8428	38	6	of	of	ADP
ap-8428	38	7	circuits	circuit	NOUN
ap-8428	38	8	using	use	VERB
ap-8428	38	9	eet	eet	X
ap-8428	38	10	[	[	X
ap-8428	38	11	20	20	NUM
ap-8428	38	12	]	]	PUNCT
ap-8428	38	13	and	and	CCONJ
ap-8428	38	14	pwm	pwm	NOUN
ap-8428	38	15	with	with	ADP
ap-8428	38	16	eet	eet	X
ap-8428	39	1	[	[	X
ap-8428	39	2	21	21	NUM
ap-8428	39	3	]	]	PUNCT
ap-8428	39	4	were	be	AUX
ap-8428	39	5	studied	study	VERB
ap-8428	39	6	.	.	PUNCT
ap-8428	40	1	the	the	DET
ap-8428	40	2	output	output	NOUN
ap-8428	40	3	impedances	impedance	NOUN
ap-8428	40	4	of	of	ADP
ap-8428	40	5	three	three	NUM
ap-8428	40	6	pwm	pwm	NOUN
ap-8428	40	7	dc	dc	PROPN
ap-8428	40	8	-	-	PUNCT
ap-8428	40	9	dc	dc	PROPN
ap-8428	40	10	converters	converter	NOUN
ap-8428	40	11	were	be	AUX
ap-8428	40	12	analysed	analyse	VERB
ap-8428	40	13	in	in	ADP
ap-8428	40	14	a	a	DET
ap-8428	40	15	general	general	ADJ
ap-8428	40	16	and	and	CCONJ
ap-8428	40	17	unified	unified	ADJ
ap-8428	40	18	manner	manner	NOUN
ap-8428	40	19	using	use	VERB
ap-8428	40	20	pwm	pwm	NOUN
ap-8428	40	21	switch	switch	NOUN
ap-8428	40	22	modelling	modelling	NOUN
ap-8428	40	23	with	with	ADP
ap-8428	40	24	eet	eet	X
ap-8428	40	25	technique	technique	NOUN
ap-8428	40	26	[	[	X
ap-8428	40	27	22	22	NUM
ap-8428	40	28	]	]	PUNCT
ap-8428	40	29	.	.	PUNCT
ap-8428	41	1	article	article	NOUN
ap-8428	41	2	[	[	X
ap-8428	41	3	23	23	NUM
ap-8428	41	4	]	]	PUNCT
ap-8428	41	5	presented	present	VERB
ap-8428	41	6	the	the	DET
ap-8428	41	7	effect	effect	NOUN
ap-8428	41	8	of	of	ADP
ap-8428	41	9	an	an	DET
ap-8428	41	10	input	input	NOUN
ap-8428	41	11	filter	filter	NOUN
ap-8428	41	12	interaction	interaction	NOUN
ap-8428	41	13	in	in	ADP
ap-8428	41	14	the	the	DET
ap-8428	41	15	small	small	ADJ
ap-8428	41	16	signal	signal	NOUN
ap-8428	41	17	analysis	analysis	NOUN
ap-8428	41	18	of	of	ADP
ap-8428	41	19	voltage	voltage	NOUN
ap-8428	41	20	and	and	CCONJ
ap-8428	41	21	current	current	ADJ
ap-8428	41	22	control	control	NOUN
ap-8428	41	23	mode	mode	NOUN
ap-8428	41	24	of	of	ADP
ap-8428	41	25	dc	dc	PROPN
ap-8428	41	26	-	-	PUNCT
ap-8428	41	27	dc	dc	PROPN
ap-8428	41	28	boost	boost	NOUN
ap-8428	41	29	converter	converter	NOUN
ap-8428	41	30	and	and	CCONJ
ap-8428	41	31	concluded	conclude	VERB
ap-8428	41	32	that	that	SCONJ
ap-8428	41	33	the	the	DET
ap-8428	41	34	methodology	methodology	NOUN
ap-8428	41	35	is	be	AUX
ap-8428	41	36	universally	universally	ADV
ap-8428	41	37	adopted	adopt	VERB
ap-8428	41	38	.	.	PUNCT
ap-8428	42	1	matlab	matlab	PROPN
ap-8428	42	2	simulink	simulink	PROPN
ap-8428	42	3	was	be	AUX
ap-8428	42	4	employed	employ	VERB
ap-8428	42	5	to	to	PART
ap-8428	42	6	study	study	VERB
ap-8428	42	7	the	the	DET
ap-8428	42	8	output	output	NOUN
ap-8428	42	9	voltage	voltage	NOUN
ap-8428	42	10	for	for	ADP
ap-8428	42	11	multiple	multiple	ADJ
ap-8428	42	12	dc	dc	PROPN
ap-8428	42	13	-	-	PUNCT
ap-8428	42	14	dc	dc	PROPN
ap-8428	42	15	converters	converter	NOUN
ap-8428	42	16	[	[	X
ap-8428	42	17	24	24	NUM
ap-8428	42	18	]	]	PUNCT
ap-8428	42	19	and	and	CCONJ
ap-8428	42	20	boost	boost	VERB
ap-8428	42	21	converter	converter	NOUN
ap-8428	42	22	[	[	X
ap-8428	42	23	25	25	NUM
ap-8428	42	24	]	]	PUNCT
ap-8428	42	25	.	.	PUNCT
ap-8428	43	1	article	article	NOUN
ap-8428	43	2	[	[	X
ap-8428	43	3	12	12	NUM
ap-8428	43	4	]	]	PUNCT
ap-8428	43	5	presented	present	VERB
ap-8428	43	6	pwm	pwm	NOUN
ap-8428	43	7	with	with	ADP
ap-8428	43	8	eet	eet	X
ap-8428	43	9	to	to	ADP
ap-8428	43	10	a	a	DET
ap-8428	43	11	general	general	ADJ
ap-8428	43	12	circuit	circuit	NOUN
ap-8428	43	13	and	and	CCONJ
ap-8428	43	14	concluded	conclude	VERB
ap-8428	43	15	that	that	SCONJ
ap-8428	43	16	it	it	PRON
ap-8428	43	17	is	be	AUX
ap-8428	43	18	a	a	DET
ap-8428	43	19	fast	fast	ADJ
ap-8428	43	20	analytical	analytical	ADJ
ap-8428	43	21	technique	technique	NOUN
ap-8428	43	22	which	which	PRON
ap-8428	43	23	produces	produce	VERB
ap-8428	43	24	a	a	DET
ap-8428	43	25	well	well	ADV
ap-8428	43	26	-	-	PUNCT
ap-8428	43	27	ordered	order	VERB
ap-8428	43	28	polynomial	polynomial	ADJ
ap-8428	43	29	and	and	CCONJ
ap-8428	43	30	low	low	ADJ
ap-8428	43	31	entropy	entropy	NOUN
ap-8428	43	32	form	form	NOUN
ap-8428	43	33	of	of	ADP
ap-8428	43	34	transfer	transfer	NOUN
ap-8428	43	35	functions	function	NOUN
ap-8428	43	36	.	.	PUNCT
ap-8428	44	1	however	however	ADV
ap-8428	44	2	,	,	PUNCT
ap-8428	44	3	by	by	ADP
ap-8428	44	4	applying	apply	VERB
ap-8428	44	5	this	this	DET
ap-8428	44	6	technique	technique	NOUN
ap-8428	44	7	to	to	ADP
ap-8428	44	8	a	a	DET
ap-8428	44	9	complex	complex	ADJ
ap-8428	44	10	sepic	sepic	ADJ
ap-8428	44	11	converter	converter	NOUN
ap-8428	44	12	,	,	PUNCT
ap-8428	44	13	the	the	DET
ap-8428	44	14	study	study	NOUN
ap-8428	44	15	concluded	conclude	VERB
ap-8428	44	16	that	that	SCONJ
ap-8428	44	17	as	as	SCONJ
ap-8428	44	18	the	the	DET
ap-8428	44	19	circuit	circuit	NOUN
ap-8428	44	20	becomes	become	VERB
ap-8428	44	21	complicated	complicated	ADJ
ap-8428	44	22	,	,	PUNCT
ap-8428	44	23	a	a	DET
ap-8428	44	24	conventional	conventional	ADJ
ap-8428	44	25	node	node	NOUN
ap-8428	44	26	and	and	CCONJ
ap-8428	44	27	mesh	mesh	NOUN
ap-8428	44	28	analysis	analysis	NOUN
ap-8428	44	29	is	be	AUX
ap-8428	44	30	better	well	ADJ
ap-8428	44	31	instead	instead	ADV
ap-8428	44	32	of	of	ADP
ap-8428	44	33	the	the	DET
ap-8428	44	34	pwm	pwm	NOUN
ap-8428	44	35	with	with	ADP
ap-8428	44	36	eet	eet	X
ap-8428	44	37	.	.	PUNCT
ap-8428	45	1	nevertheless	nevertheless	ADV
ap-8428	45	2	,	,	PUNCT
ap-8428	45	3	the	the	DET
ap-8428	45	4	basis	basis	NOUN
ap-8428	45	5	of	of	ADP
ap-8428	45	6	comparison	comparison	NOUN
ap-8428	45	7	for	for	ADP
ap-8428	45	8	this	this	DET
ap-8428	45	9	statement	statement	NOUN
ap-8428	45	10	is	be	AUX
ap-8428	45	11	not	not	PART
ap-8428	45	12	presented	present	VERB
ap-8428	45	13	in	in	ADP
ap-8428	45	14	the	the	DET
ap-8428	45	15	study	study	NOUN
ap-8428	45	16	,	,	PUNCT
ap-8428	45	17	and	and	CCONJ
ap-8428	45	18	therefore	therefore	ADV
ap-8428	45	19	it	it	PRON
ap-8428	45	20	is	be	AUX
ap-8428	45	21	necessary	necessary	ADJ
ap-8428	45	22	to	to	PART
ap-8428	45	23	study	study	VERB
ap-8428	45	24	the	the	DET
ap-8428	45	25	features	feature	NOUN
ap-8428	45	26	of	of	ADP
ap-8428	45	27	pwm	pwm	NOUN
ap-8428	45	28	with	with	ADP
ap-8428	45	29	eet	eet	X
ap-8428	45	30	technique	technique	NOUN
ap-8428	45	31	for	for	ADP
ap-8428	45	32	higher	high	ADJ
ap-8428	45	33	order	order	NOUN
ap-8428	45	34	circuits	circuit	NOUN
ap-8428	45	35	.	.	PUNCT
ap-8428	46	1	some	some	PRON
ap-8428	46	2	of	of	ADP
ap-8428	46	3	the	the	DET
ap-8428	46	4	existing	exist	VERB
ap-8428	46	5	studies	study	NOUN
ap-8428	46	6	have	have	AUX
ap-8428	46	7	developed	develop	VERB
ap-8428	46	8	the	the	DET
ap-8428	46	9	analytical	analytical	ADJ
ap-8428	46	10	models	model	NOUN
ap-8428	46	11	,	,	PUNCT
ap-8428	46	12	obtained	obtain	VERB
ap-8428	46	13	simulation	simulation	NOUN
ap-8428	46	14	results	result	NOUN
ap-8428	46	15	and	and	CCONJ
ap-8428	46	16	commented	comment	VERB
ap-8428	46	17	on	on	ADP
ap-8428	46	18	advantages	advantage	NOUN
ap-8428	46	19	,	,	PUNCT
ap-8428	46	20	disadvantages	disadvantage	NOUN
ap-8428	46	21	and	and	CCONJ
ap-8428	46	22	applications	application	NOUN
ap-8428	46	23	in	in	ADP
ap-8428	46	24	a	a	DET
ap-8428	46	25	relative	relative	ADJ
ap-8428	46	26	manner	manner	NOUN
ap-8428	46	27	without	without	ADP
ap-8428	46	28	comparing	compare	VERB
ap-8428	46	29	the	the	DET
ap-8428	46	30	results	result	NOUN
ap-8428	46	31	with	with	ADP
ap-8428	46	32	a	a	DET
ap-8428	46	33	counterpart	counterpart	NOUN
ap-8428	46	34	technique	technique	NOUN
ap-8428	46	35	,	,	PUNCT
ap-8428	46	36	which	which	PRON
ap-8428	46	37	does	do	AUX
ap-8428	46	38	n’t	not	PART
ap-8428	46	39	fit	fit	VERB
ap-8428	46	40	into	into	ADP
ap-8428	46	41	the	the	DET
ap-8428	46	42	acceptable	acceptable	ADJ
ap-8428	46	43	scientific	scientific	ADJ
ap-8428	46	44	and	and	CCONJ
ap-8428	46	45	technical	technical	ADJ
ap-8428	46	46	approach	approach	NOUN
ap-8428	46	47	.	.	PUNCT
ap-8428	47	1	the	the	DET
ap-8428	47	2	advantages	advantage	NOUN
ap-8428	47	3	,	,	PUNCT
ap-8428	47	4	disadvantages	disadvantage	NOUN
ap-8428	47	5	and	and	CCONJ
ap-8428	47	6	superiority	superiority	NOUN
ap-8428	47	7	of	of	ADP
ap-8428	47	8	a	a	DET
ap-8428	47	9	technique	technique	NOUN
ap-8428	47	10	should	should	AUX
ap-8428	47	11	be	be	AUX
ap-8428	47	12	based	base	VERB
ap-8428	47	13	on	on	ADP
ap-8428	47	14	a	a	DET
ap-8428	47	15	comparison	comparison	NOUN
ap-8428	47	16	of	of	ADP
ap-8428	47	17	two	two	NUM
ap-8428	47	18	or	or	CCONJ
ap-8428	47	19	more	more	ADJ
ap-8428	47	20	techniques	technique	NOUN
ap-8428	47	21	for	for	ADP
ap-8428	47	22	the	the	DET
ap-8428	47	23	same	same	ADJ
ap-8428	47	24	converter	converter	NOUN
ap-8428	47	25	topology	topology	NOUN
ap-8428	47	26	.	.	PUNCT
ap-8428	48	1	even	even	ADV
ap-8428	48	2	though	though	SCONJ
ap-8428	48	3	numerous	numerous	ADJ
ap-8428	48	4	studies	study	NOUN
ap-8428	48	5	regarding	regard	VERB
ap-8428	48	6	ssa	ssa	NOUN
ap-8428	48	7	and	and	CCONJ
ap-8428	48	8	pwm	pwm	NOUN
ap-8428	48	9	with	with	ADP
ap-8428	48	10	eet	eet	X
ap-8428	48	11	techniques	technique	NOUN
ap-8428	48	12	for	for	ADP
ap-8428	48	13	different	different	ADJ
ap-8428	48	14	converters	converter	NOUN
ap-8428	48	15	have	have	AUX
ap-8428	48	16	been	be	AUX
ap-8428	48	17	performed	perform	VERB
ap-8428	48	18	,	,	PUNCT
ap-8428	48	19	surprisingly	surprisingly	ADV
ap-8428	48	20	no	no	DET
ap-8428	48	21	efforts	effort	NOUN
ap-8428	48	22	were	be	AUX
ap-8428	48	23	done	do	VERB
ap-8428	48	24	to	to	PART
ap-8428	48	25	compare	compare	VERB
ap-8428	48	26	these	these	DET
ap-8428	48	27	techniques	technique	NOUN
ap-8428	48	28	for	for	ADP
ap-8428	48	29	the	the	DET
ap-8428	48	30	same	same	ADJ
ap-8428	48	31	converter	converter	NOUN
ap-8428	48	32	and	and	CCONJ
ap-8428	48	33	to	to	PART
ap-8428	48	34	comment	comment	VERB
ap-8428	48	35	on	on	ADP
ap-8428	48	36	the	the	DET
ap-8428	48	37	superiority	superiority	NOUN
ap-8428	48	38	of	of	ADP
ap-8428	48	39	the	the	DET
ap-8428	48	40	analytical	analytical	ADJ
ap-8428	48	41	technique	technique	NOUN
ap-8428	48	42	.	.	PUNCT
ap-8428	49	1	the	the	DET
ap-8428	49	2	past	past	ADJ
ap-8428	49	3	few	few	ADJ
ap-8428	49	4	years	year	NOUN
ap-8428	49	5	have	have	AUX
ap-8428	49	6	perceived	perceive	VERB
ap-8428	49	7	notable	notable	ADJ
ap-8428	49	8	development	development	NOUN
ap-8428	49	9	in	in	ADP
ap-8428	49	10	the	the	DET
ap-8428	49	11	research	research	NOUN
ap-8428	49	12	of	of	ADP
ap-8428	49	13	dc	dc	PROPN
ap-8428	49	14	-	-	PUNCT
ap-8428	49	15	dc	dc	PROPN
ap-8428	49	16	converter	converter	NOUN
ap-8428	49	17	topologies	topology	NOUN
ap-8428	49	18	.	.	PUNCT
ap-8428	50	1	although	although	SCONJ
ap-8428	50	2	the	the	DET
ap-8428	50	3	conversion	conversion	NOUN
ap-8428	50	4	efficiency	efficiency	NOUN
ap-8428	50	5	of	of	ADP
ap-8428	50	6	a	a	DET
ap-8428	50	7	single	single	ADJ
ap-8428	50	8	-	-	PUNCT
ap-8428	50	9	stage	stage	NOUN
ap-8428	50	10	converter	converter	NOUN
ap-8428	50	11	is	be	AUX
ap-8428	50	12	better	well	ADJ
ap-8428	50	13	than	than	ADP
ap-8428	50	14	that	that	PRON
ap-8428	50	15	of	of	ADP
ap-8428	50	16	the	the	DET
ap-8428	50	17	two	two	NUM
ap-8428	50	18	-	-	PUNCT
ap-8428	50	19	stage	stage	NOUN
ap-8428	50	20	converter	converter	NOUN
ap-8428	50	21	,	,	PUNCT
ap-8428	50	22	the	the	DET
ap-8428	50	23	quadratic	quadratic	ADJ
ap-8428	50	24	converters	converter	NOUN
ap-8428	50	25	are	be	AUX
ap-8428	50	26	proposed	propose	VERB
ap-8428	50	27	for	for	ADP
ap-8428	50	28	extremely	extremely	ADV
ap-8428	50	29	large	large	ADJ
ap-8428	50	30	range	range	NOUN
ap-8428	50	31	of	of	ADP
ap-8428	50	32	conversion	conversion	NOUN
ap-8428	50	33	ratios	ratio	NOUN
ap-8428	50	34	.	.	PUNCT
ap-8428	51	1	as	as	ADP
ap-8428	51	2	a	a	DET
ap-8428	51	3	part	part	NOUN
ap-8428	51	4	of	of	ADP
ap-8428	51	5	this	this	PRON
ap-8428	51	6	,	,	PUNCT
ap-8428	51	7	complex	complex	ADJ
ap-8428	51	8	cascaded	cascade	VERB
ap-8428	51	9	buck	buck	NOUN
ap-8428	51	10	converter	converter	NOUN
ap-8428	51	11	(	(	PUNCT
ap-8428	51	12	cbc	cbc	PROPN
ap-8428	51	13	)	)	PUNCT
ap-8428	51	14	is	be	AUX
ap-8428	51	15	always	always	ADV
ap-8428	51	16	preferred	prefer	VERB
ap-8428	51	17	for	for	ADP
ap-8428	51	18	many	many	ADJ
ap-8428	51	19	applications	application	NOUN
ap-8428	51	20	,	,	PUNCT
ap-8428	51	21	as	as	SCONJ
ap-8428	51	22	it	it	PRON
ap-8428	51	23	has	have	VERB
ap-8428	51	24	a	a	DET
ap-8428	51	25	better	well	ADJ
ap-8428	51	26	conversion	conversion	NOUN
ap-8428	51	27	ratio	ratio	NOUN
ap-8428	51	28	,	,	PUNCT
ap-8428	51	29	high	high	ADJ
ap-8428	51	30	voltage	voltage	NOUN
ap-8428	51	31	step	step	NOUN
ap-8428	51	32	down	down	ADP
ap-8428	51	33	ratio	ratio	NOUN
ap-8428	51	34	,	,	PUNCT
ap-8428	51	35	and	and	CCONJ
ap-8428	51	36	large	large	ADJ
ap-8428	51	37	voltage	voltage	NOUN
ap-8428	51	38	regulation	regulation	NOUN
ap-8428	51	39	[	[	X
ap-8428	51	40	26	26	NUM
ap-8428	51	41	]	]	PUNCT
ap-8428	51	42	.	.	PUNCT
ap-8428	52	1	therefore	therefore	ADV
ap-8428	52	2	,	,	PUNCT
ap-8428	52	3	in	in	ADP
ap-8428	52	4	this	this	DET
ap-8428	52	5	paper	paper	NOUN
ap-8428	52	6	,	,	PUNCT
ap-8428	52	7	a	a	DET
ap-8428	52	8	comparative	comparative	ADJ
ap-8428	52	9	evaluation	evaluation	NOUN
ap-8428	52	10	of	of	ADP
ap-8428	52	11	two	two	NUM
ap-8428	52	12	widely	widely	ADV
ap-8428	52	13	preferred	prefer	VERB
ap-8428	52	14	modelling	modelling	NOUN
ap-8428	52	15	tools	tool	NOUN
ap-8428	52	16	for	for	ADP
ap-8428	52	17	a	a	DET
ap-8428	52	18	higher	high	ADJ
ap-8428	52	19	order	order	NOUN
ap-8428	52	20	dc	dc	PROPN
ap-8428	52	21	-	-	PUNCT
ap-8428	52	22	dc	dc	PROPN
ap-8428	52	23	converter	converter	NOUN
ap-8428	52	24	is	be	AUX
ap-8428	52	25	presented	present	VERB
ap-8428	52	26	.	.	PUNCT
ap-8428	53	1	the	the	DET
ap-8428	53	2	first	first	ADJ
ap-8428	53	3	approach	approach	NOUN
ap-8428	53	4	makes	make	VERB
ap-8428	53	5	use	use	NOUN
ap-8428	53	6	of	of	ADP
ap-8428	53	7	a	a	DET
ap-8428	53	8	state	state	NOUN
ap-8428	53	9	-	-	PUNCT
ap-8428	53	10	space	space	NOUN
ap-8428	53	11	averaged	average	VERB
ap-8428	53	12	model	model	NOUN
ap-8428	53	13	of	of	ADP
ap-8428	53	14	the	the	DET
ap-8428	53	15	converter	converter	NOUN
ap-8428	53	16	based	base	VERB
ap-8428	53	17	on	on	ADP
ap-8428	53	18	the	the	DET
ap-8428	53	19	analytical	analytical	ADJ
ap-8428	53	20	manipulations	manipulation	NOUN
ap-8428	53	21	,	,	PUNCT
ap-8428	53	22	whereas	whereas	SCONJ
ap-8428	53	23	the	the	DET
ap-8428	53	24	second	second	ADJ
ap-8428	53	25	approach	approach	NOUN
ap-8428	53	26	is	be	AUX
ap-8428	53	27	based	base	VERB
ap-8428	53	28	on	on	ADP
ap-8428	53	29	the	the	DET
ap-8428	53	30	pwm	pwm	NOUN
ap-8428	53	31	switch	switch	NOUN
ap-8428	53	32	modelling	modelling	NOUN
ap-8428	53	33	with	with	ADP
ap-8428	53	34	eet	eet	X
ap-8428	53	35	technique	technique	NOUN
ap-8428	53	36	based	base	VERB
ap-8428	53	37	primarily	primarily	ADV
ap-8428	53	38	on	on	ADP
ap-8428	53	39	the	the	DET
ap-8428	53	40	manipulations	manipulation	NOUN
ap-8428	53	41	of	of	ADP
ap-8428	53	42	circuits	circuit	NOUN
ap-8428	53	43	.	.	PUNCT
ap-8428	54	1	the	the	DET
ap-8428	54	2	two	two	NUM
ap-8428	54	3	modelling	modelling	NOUN
ap-8428	54	4	techniques	technique	NOUN
ap-8428	54	5	are	be	AUX
ap-8428	54	6	applied	apply	VERB
ap-8428	54	7	to	to	ADP
ap-8428	54	8	a	a	DET
ap-8428	54	9	same	same	ADJ
ap-8428	54	10	complex	complex	NOUN
ap-8428	54	11	cascaded	cascade	VERB
ap-8428	54	12	dc	dc	PROPN
ap-8428	54	13	-	-	PUNCT
ap-8428	54	14	dc	dc	PROPN
ap-8428	54	15	buck	buck	NOUN
ap-8428	54	16	converter	converter	NOUN
ap-8428	54	17	and	and	CCONJ
ap-8428	54	18	are	be	AUX
ap-8428	54	19	compared	compare	VERB
ap-8428	54	20	on	on	ADP
ap-8428	54	21	the	the	DET
ap-8428	54	22	basis	basis	NOUN
ap-8428	54	23	of	of	ADP
ap-8428	54	24	their	their	PRON
ap-8428	54	25	various	various	ADJ
ap-8428	54	26	features	feature	NOUN
ap-8428	54	27	to	to	PART
ap-8428	54	28	decide	decide	VERB
ap-8428	54	29	the	the	DET
ap-8428	54	30	superiority	superiority	NOUN
ap-8428	54	31	for	for	ADP
ap-8428	54	32	a	a	DET
ap-8428	54	33	higher	high	ADJ
ap-8428	54	34	order	order	NOUN
ap-8428	54	35	circuit	circuit	NOUN
ap-8428	54	36	.	.	PUNCT
ap-8428	55	1	2	2	X
ap-8428	55	2	.	.	X
ap-8428	55	3	materials	material	NOUN
ap-8428	55	4	and	and	CCONJ
ap-8428	55	5	methods	method	NOUN
ap-8428	55	6	2.1	2.1	NUM
ap-8428	55	7	.	.	PUNCT
ap-8428	56	1	complex	complex	ADJ
ap-8428	56	2	cascaded	cascade	VERB
ap-8428	56	3	dc	dc	PROPN
ap-8428	56	4	-	-	PUNCT
ap-8428	56	5	dc	dc	PROPN
ap-8428	56	6	buck	buck	NOUN
ap-8428	56	7	converter	converter	NOUN
ap-8428	56	8	the	the	DET
ap-8428	56	9	existence	existence	NOUN
ap-8428	56	10	of	of	ADP
ap-8428	56	11	two	two	NUM
ap-8428	56	12	transistor	transistor	NOUN
ap-8428	56	13	switches	switch	NOUN
ap-8428	56	14	of	of	ADP
ap-8428	56	15	the	the	DET
ap-8428	56	16	conventional	conventional	ADJ
ap-8428	56	17	cascaded	cascade	VERB
ap-8428	56	18	buck	buck	NOUN
ap-8428	56	19	converter	converter	NOUN
ap-8428	56	20	can	can	AUX
ap-8428	56	21	be	be	AUX
ap-8428	56	22	reduced	reduce	VERB
ap-8428	56	23	to	to	ADP
ap-8428	56	24	a	a	DET
ap-8428	56	25	single	single	ADJ
ap-8428	56	26	transistor	transistor	NOUN
ap-8428	56	27	switch	switch	NOUN
ap-8428	56	28	in	in	ADP
ap-8428	56	29	the	the	DET
ap-8428	56	30	complex	complex	ADJ
ap-8428	56	31	cascade	cascade	NOUN
ap-8428	56	32	dc	dc	PROPN
ap-8428	56	33	-	-	PUNCT
ap-8428	56	34	dc	dc	PROPN
ap-8428	56	35	buck	buck	NOUN
ap-8428	56	36	converter	converter	NOUN
ap-8428	56	37	as	as	SCONJ
ap-8428	56	38	shown	show	VERB
ap-8428	56	39	in	in	ADP
ap-8428	56	40	figure	figure	NOUN
ap-8428	56	41	1	1	NUM
ap-8428	56	42	,	,	PUNCT
ap-8428	56	43	which	which	PRON
ap-8428	56	44	has	have	VERB
ap-8428	56	45	two	two	NUM
ap-8428	56	46	inductors	inductor	NOUN
ap-8428	56	47	and	and	CCONJ
ap-8428	56	48	two	two	NUM
ap-8428	56	49	capacitors	capacitor	NOUN
ap-8428	56	50	making	make	VERB
ap-8428	56	51	it	it	PRON
ap-8428	56	52	a	a	DET
ap-8428	56	53	fourth	fourth	ADJ
ap-8428	56	54	-	-	PUNCT
ap-8428	56	55	order	order	NOUN
ap-8428	56	56	circuit	circuit	NOUN
ap-8428	56	57	and	and	CCONJ
ap-8428	56	58	has	have	VERB
ap-8428	56	59	a	a	DET
ap-8428	56	60	quadratic	quadratic	ADJ
ap-8428	56	61	conversion	conversion	NOUN
ap-8428	56	62	ratio	ratio	NOUN
ap-8428	56	63	of	of	ADP
ap-8428	56	64	d2	d2	PROPN
ap-8428	56	65	.	.	PUNCT
ap-8428	57	1	this	this	DET
ap-8428	57	2	singletransistor	singletransistor	NOUN
ap-8428	57	3	realisation	realisation	NOUN
ap-8428	57	4	is	be	AUX
ap-8428	57	5	the	the	DET
ap-8428	57	6	most	most	ADV
ap-8428	57	7	additional	additional	ADJ
ap-8428	57	8	advantage	advantage	NOUN
ap-8428	57	9	over	over	ADP
ap-8428	57	10	a	a	DET
ap-8428	57	11	straight	straight	ADJ
ap-8428	57	12	forward	forward	ADJ
ap-8428	57	13	cascade	cascade	NOUN
ap-8428	57	14	of	of	ADP
ap-8428	57	15	two	two	NUM
ap-8428	57	16	basic	basic	ADJ
ap-8428	57	17	converters	converter	NOUN
ap-8428	57	18	.	.	PUNCT
ap-8428	58	1	the	the	DET
ap-8428	58	2	switching	switch	VERB
ap-8428	58	3	section	section	NOUN
ap-8428	58	4	consists	consist	VERB
ap-8428	58	5	of	of	ADP
ap-8428	58	6	one	one	NUM
ap-8428	58	7	active	active	ADJ
ap-8428	58	8	switch	switch	NOUN
ap-8428	58	9	and	and	CCONJ
ap-8428	58	10	three	three	NUM
ap-8428	58	11	diodes	diode	NOUN
ap-8428	58	12	.	.	PUNCT
ap-8428	59	1	though	though	SCONJ
ap-8428	59	2	the	the	DET
ap-8428	59	3	circuit	circuit	NOUN
ap-8428	59	4	is	be	AUX
ap-8428	59	5	complex	complex	ADJ
ap-8428	59	6	,	,	PUNCT
ap-8428	59	7	the	the	DET
ap-8428	59	8	conversion	conversion	NOUN
ap-8428	59	9	ratio	ratio	NOUN
ap-8428	59	10	of	of	ADP
ap-8428	59	11	cbc	cbc	NOUN
ap-8428	59	12	can	can	AUX
ap-8428	59	13	not	not	PART
ap-8428	59	14	be	be	AUX
ap-8428	59	15	realised	realise	VERB
ap-8428	59	16	with	with	ADP
ap-8428	59	17	less	less	ADJ
ap-8428	59	18	than	than	ADP
ap-8428	59	19	two	two	NUM
ap-8428	59	20	capacitors	capacitor	NOUN
ap-8428	59	21	,	,	PUNCT
ap-8428	59	22	two	two	NUM
ap-8428	59	23	inductors	inductor	NOUN
ap-8428	59	24	,	,	PUNCT
ap-8428	59	25	and	and	CCONJ
ap-8428	59	26	four	four	NUM
ap-8428	59	27	switches	switch	NOUN
ap-8428	59	28	.	.	PUNCT
ap-8428	60	1	however	however	ADV
ap-8428	60	2	,	,	PUNCT
ap-8428	60	3	additional	additional	ADJ
ap-8428	60	4	complexity	complexity	NOUN
ap-8428	60	5	of	of	ADP
ap-8428	60	6	the	the	DET
ap-8428	60	7	converter	converter	NOUN
ap-8428	60	8	network	network	NOUN
ap-8428	60	9	may	may	AUX
ap-8428	60	10	compromise	compromise	VERB
ap-8428	60	11	the	the	DET
ap-8428	60	12	wide	wide	ADJ
ap-8428	60	13	conversion	conversion	NOUN
ap-8428	60	14	ratio	ratio	NOUN
ap-8428	60	15	.	.	PUNCT
ap-8428	61	1	the	the	DET
ap-8428	61	2	control	control	NOUN
ap-8428	61	3	strategy	strategy	NOUN
ap-8428	61	4	of	of	ADP
ap-8428	61	5	the	the	DET
ap-8428	61	6	complex	complex	ADJ
ap-8428	61	7	cbc	cbc	NOUN
ap-8428	61	8	is	be	AUX
ap-8428	61	9	depicted	depict	VERB
ap-8428	61	10	in	in	ADP
ap-8428	61	11	figures	figure	NOUN
ap-8428	61	12	2a	2a	NUM
ap-8428	61	13	and	and	CCONJ
ap-8428	61	14	2b	2b	NOUN
ap-8428	61	15	.	.	PUNCT
ap-8428	62	1	the	the	DET
ap-8428	62	2	on	on	ADP
ap-8428	62	3	state	state	NOUN
ap-8428	62	4	and	and	CCONJ
ap-8428	62	5	off	off	ADP
ap-8428	62	6	state	state	NOUN
ap-8428	62	7	correspond	correspond	NOUN
ap-8428	62	8	to	to	ADP
ap-8428	62	9	the	the	DET
ap-8428	62	10	operation	operation	NOUN
ap-8428	62	11	of	of	ADP
ap-8428	62	12	two	two	NUM
ap-8428	62	13	buck	buck	NOUN
ap-8428	62	14	converters	converter	NOUN
ap-8428	62	15	connected	connect	VERB
ap-8428	62	16	in	in	ADP
ap-8428	62	17	a	a	DET
ap-8428	62	18	cascade	cascade	NOUN
ap-8428	62	19	as	as	SCONJ
ap-8428	62	20	depicted	depict	VERB
ap-8428	62	21	in	in	ADP
ap-8428	62	22	figure	figure	NOUN
ap-8428	62	23	3	3	NUM
ap-8428	62	24	.	.	PUNCT
ap-8428	62	25	figure	figure	NOUN
ap-8428	62	26	1	1	NUM
ap-8428	62	27	.	.	PUNCT
ap-8428	62	28	topology	topology	NOUN
ap-8428	62	29	of	of	ADP
ap-8428	62	30	cascade	cascade	NOUN
ap-8428	62	31	dc	dc	PROPN
ap-8428	62	32	-	-	PUNCT
ap-8428	62	33	dc	dc	PROPN
ap-8428	62	34	buck	buck	NOUN
ap-8428	62	35	converter	converter	NOUN
ap-8428	62	36	.	.	PUNCT
ap-8428	63	1	51	51	NUM
ap-8428	63	2	sangeeta	sangeeta	PROPN
ap-8428	63	3	shete	shete	PROPN
ap-8428	63	4	,	,	PUNCT
ap-8428	63	5	prasad	prasad	PROPN
ap-8428	63	6	joshi	joshi	PROPN
ap-8428	63	7	acta	acta	PROPN
ap-8428	63	8	polytechnica	polytechnica	PROPN
ap-8428	63	9	(	(	PUNCT
ap-8428	63	10	a	a	NOUN
ap-8428	63	11	)	)	PUNCT
ap-8428	63	12	(	(	PUNCT
ap-8428	63	13	b	b	X
ap-8428	63	14	)	)	PUNCT
ap-8428	63	15	figure	figure	NOUN
ap-8428	63	16	2	2	NUM
ap-8428	63	17	.	.	PUNCT
ap-8428	63	18	switching	switch	VERB
ap-8428	63	19	mechanism	mechanism	NOUN
ap-8428	63	20	of	of	ADP
ap-8428	63	21	complex	complex	ADJ
ap-8428	63	22	cbc	cbc	NOUN
ap-8428	63	23	.	.	PUNCT
ap-8428	64	1	figure	figure	VERB
ap-8428	64	2	3	3	NUM
ap-8428	64	3	.	.	PUNCT
ap-8428	64	4	operation	operation	NOUN
ap-8428	64	5	of	of	ADP
ap-8428	64	6	complex	complex	ADJ
ap-8428	64	7	cbc	cbc	NOUN
ap-8428	64	8	.	.	PUNCT
ap-8428	65	1	the	the	DET
ap-8428	65	2	total	total	ADJ
ap-8428	65	3	output	output	NOUN
ap-8428	65	4	voltage	voltage	NOUN
ap-8428	65	5	is	be	AUX
ap-8428	65	6	given	give	VERB
ap-8428	65	7	by	by	ADP
ap-8428	65	8	equation	equation	NOUN
ap-8428	65	9	1	1	NUM
ap-8428	65	10	.	.	PUNCT
ap-8428	66	1	v2	v2	NOUN
ap-8428	66	2	=	=	SYM
ap-8428	66	3	1	1	NUM
ap-8428	66	4	t	t	NOUN
ap-8428	66	5	∫	∫	PROPN
ap-8428	66	6	t	t	PROPN
ap-8428	66	7	0	0	NUM
ap-8428	66	8	(	(	PUNCT
ap-8428	66	9	−dv1	−dv1	VERB
ap-8428	66	10	+	+	PRON
ap-8428	66	11	dv1(1	dv1(1	ADJ
ap-8428	66	12	+	+	ADJ
ap-8428	66	13	d	d	NOUN
ap-8428	66	14	)	)	PUNCT
ap-8428	66	15	)	)	PUNCT
ap-8428	66	16	dt	dt	PUNCT
ap-8428	67	1	v2	v2	NOUN
ap-8428	67	2	=	=	SYM
ap-8428	67	3	d2v1	d2v1	X
ap-8428	67	4	(	(	PUNCT
ap-8428	67	5	1	1	NUM
ap-8428	67	6	)	)	PUNCT
ap-8428	67	7	where	where	SCONJ
ap-8428	67	8	,	,	PUNCT
ap-8428	67	9	d	d	X
ap-8428	67	10	is	be	AUX
ap-8428	67	11	the	the	DET
ap-8428	67	12	duty	duty	NOUN
ap-8428	67	13	ratio	ratio	NOUN
ap-8428	67	14	and	and	CCONJ
ap-8428	67	15	d2	d2	PROPN
ap-8428	67	16	=	=	SYM
ap-8428	67	17	1	1	NUM
ap-8428	67	18	t	t	NOUN
ap-8428	67	19	∫	∫	PROPN
ap-8428	67	20	t	t	PROPN
ap-8428	67	21	0	0	NUM
ap-8428	67	22	ď2(t)dt	ď2(t)dt	ADP
ap-8428	67	23	the	the	DET
ap-8428	67	24	chopper	chopper	NOUN
ap-8428	67	25	circuit	circuit	NOUN
ap-8428	67	26	of	of	ADP
ap-8428	67	27	cbc	cbc	PROPN
ap-8428	67	28	has	have	VERB
ap-8428	67	29	one	one	NUM
ap-8428	67	30	active	active	ADJ
ap-8428	67	31	switch	switch	NOUN
ap-8428	67	32	and	and	CCONJ
ap-8428	67	33	three	three	NUM
ap-8428	67	34	passive	passive	ADJ
ap-8428	67	35	switches	switch	NOUN
ap-8428	67	36	,	,	PUNCT
ap-8428	67	37	which	which	PRON
ap-8428	67	38	are	be	AUX
ap-8428	67	39	driven	drive	VERB
ap-8428	67	40	by	by	ADP
ap-8428	67	41	switching	switch	VERB
ap-8428	67	42	function	function	NOUN
ap-8428	67	43	ď2(t	ď2(t	PROPN
ap-8428	67	44	)	)	PUNCT
ap-8428	67	45	and	and	CCONJ
ap-8428	67	46	ď′2(t	ď′2(t	NOUN
ap-8428	67	47	)	)	PUNCT
ap-8428	67	48	,	,	PUNCT
ap-8428	67	49	respectively	respectively	ADV
ap-8428	67	50	.	.	PUNCT
ap-8428	68	1	the	the	DET
ap-8428	68	2	switching	switch	VERB
ap-8428	68	3	function	function	NOUN
ap-8428	68	4	is	be	AUX
ap-8428	68	5	given	give	VERB
ap-8428	68	6	as	as	ADP
ap-8428	68	7	,	,	PUNCT
ap-8428	68	8	ď2(t	ď2(t	PROPN
ap-8428	68	9	)	)	PUNCT
ap-8428	68	10	=	=	NOUN
ap-8428	68	11	{	{	PUNCT
ap-8428	69	1	1	1	NUM
ap-8428	69	2	0	0	NUM
ap-8428	69	3	<	<	X
ap-8428	69	4	t	t	X
ap-8428	69	5	<	<	X
ap-8428	69	6	ton	ton	PROPN
ap-8428	69	7	0	0	NUM
ap-8428	69	8	ton	ton	NOUN
ap-8428	69	9	<	<	X
ap-8428	69	10	t	t	X
ap-8428	69	11	<	<	X
ap-8428	69	12	t	t	PROPN
ap-8428	69	13	2.2	2.2	NUM
ap-8428	69	14	.	.	PUNCT
ap-8428	70	1	state	state	NOUN
ap-8428	70	2	space	space	NOUN
ap-8428	70	3	averaging	averaging	NOUN
ap-8428	70	4	technique	technique	NOUN
ap-8428	70	5	the	the	DET
ap-8428	70	6	state	state	NOUN
ap-8428	70	7	-	-	PUNCT
ap-8428	70	8	space	space	NOUN
ap-8428	70	9	averaging	averaging	NOUN
ap-8428	70	10	method	method	NOUN
ap-8428	70	11	is	be	AUX
ap-8428	70	12	based	base	VERB
ap-8428	70	13	on	on	ADP
ap-8428	70	14	analytical	analytical	ADJ
ap-8428	70	15	operations	operation	NOUN
ap-8428	70	16	for	for	ADP
ap-8428	70	17	the	the	DET
ap-8428	70	18	converter	converter	NOUN
ap-8428	70	19	states	state	NOUN
ap-8428	70	20	comprising	comprise	VERB
ap-8428	70	21	the	the	DET
ap-8428	70	22	determination	determination	NOUN
ap-8428	70	23	of	of	ADP
ap-8428	70	24	linear	linear	ADJ
ap-8428	70	25	state	state	NOUN
ap-8428	70	26	model	model	NOUN
ap-8428	70	27	for	for	ADP
ap-8428	70	28	each	each	DET
ap-8428	70	29	possible	possible	ADJ
ap-8428	70	30	configuration	configuration	NOUN
ap-8428	70	31	of	of	ADP
ap-8428	70	32	circuit	circuit	NOUN
ap-8428	70	33	and	and	CCONJ
ap-8428	70	34	subsequently	subsequently	ADV
ap-8428	70	35	combining	combine	VERB
ap-8428	70	36	all	all	DET
ap-8428	70	37	these	these	DET
ap-8428	70	38	elementary	elementary	ADJ
ap-8428	70	39	models	model	NOUN
ap-8428	70	40	into	into	ADP
ap-8428	70	41	a	a	DET
ap-8428	70	42	single	single	ADJ
ap-8428	70	43	and	and	CCONJ
ap-8428	70	44	unified	unified	ADJ
ap-8428	70	45	one	one	NOUN
ap-8428	70	46	through	through	ADP
ap-8428	70	47	a	a	DET
ap-8428	70	48	duty	duty	NOUN
ap-8428	70	49	factor	factor	NOUN
ap-8428	70	50	.	.	PUNCT
ap-8428	71	1	the	the	DET
ap-8428	71	2	method	method	NOUN
ap-8428	71	3	involves	involve	VERB
ap-8428	71	4	a	a	DET
ap-8428	71	5	formulation	formulation	NOUN
ap-8428	71	6	of	of	ADP
ap-8428	71	7	the	the	DET
ap-8428	71	8	state	state	NOUN
ap-8428	71	9	equation	equation	NOUN
ap-8428	71	10	for	for	ADP
ap-8428	71	11	each	each	DET
ap-8428	71	12	state	state	NOUN
ap-8428	71	13	,	,	PUNCT
ap-8428	71	14	averaging	averaging	NOUN
ap-8428	71	15	,	,	PUNCT
ap-8428	71	16	perturbation	perturbation	NOUN
ap-8428	71	17	and	and	CCONJ
ap-8428	71	18	then	then	ADV
ap-8428	71	19	rearranging	rearrange	VERB
ap-8428	71	20	equations	equation	NOUN
ap-8428	71	21	to	to	PART
ap-8428	71	22	obtain	obtain	VERB
ap-8428	71	23	the	the	DET
ap-8428	71	24	required	require	VERB
ap-8428	71	25	transfer	transfer	NOUN
ap-8428	71	26	function	function	NOUN
ap-8428	71	27	by	by	ADP
ap-8428	71	28	applying	apply	VERB
ap-8428	71	29	laplace	laplace	NOUN
ap-8428	71	30	transform	transform	NOUN
ap-8428	71	31	.	.	PUNCT
ap-8428	72	1	the	the	DET
ap-8428	72	2	complex	complex	ADJ
ap-8428	72	3	cbc	cbc	NOUN
ap-8428	72	4	is	be	AUX
ap-8428	72	5	considered	consider	VERB
ap-8428	72	6	in	in	ADP
ap-8428	72	7	continuous	continuous	ADJ
ap-8428	72	8	conduction	conduction	NOUN
ap-8428	72	9	mode	mode	NOUN
ap-8428	72	10	and	and	CCONJ
ap-8428	72	11	switch	switch	NOUN
ap-8428	72	12	and	and	CCONJ
ap-8428	72	13	diodes	diode	NOUN
ap-8428	72	14	are	be	AUX
ap-8428	72	15	considered	consider	VERB
ap-8428	72	16	in	in	ADP
ap-8428	72	17	ideal	ideal	ADJ
ap-8428	72	18	mode	mode	NOUN
ap-8428	72	19	.	.	PUNCT
ap-8428	73	1	considering	consider	VERB
ap-8428	73	2	,	,	PUNCT
ap-8428	73	3	inductor	inductor	NOUN
ap-8428	73	4	currents	current	NOUN
ap-8428	73	5	il1	il1	PROPN
ap-8428	73	6	,	,	PUNCT
ap-8428	73	7	il2	il2	NOUN
ap-8428	73	8	,	,	PUNCT
ap-8428	73	9	and	and	CCONJ
ap-8428	73	10	capacitors	capacitor	NOUN
ap-8428	73	11	voltages	voltage	VERB
ap-8428	73	12	vc1	vc1	PROPN
ap-8428	73	13	and	and	CCONJ
ap-8428	73	14	vc2	vc2	PROPN
ap-8428	73	15	as	as	ADP
ap-8428	73	16	the	the	DET
ap-8428	73	17	state	state	NOUN
ap-8428	73	18	variables	variable	NOUN
ap-8428	73	19	,	,	PUNCT
ap-8428	73	20	the	the	DET
ap-8428	73	21	state	state	NOUN
ap-8428	73	22	equation	equation	NOUN
ap-8428	73	23	and	and	CCONJ
ap-8428	73	24	output	output	NOUN
ap-8428	73	25	equation	equation	NOUN
ap-8428	73	26	in	in	ADP
ap-8428	73	27	on	on	ADP
ap-8428	73	28	state	state	NOUN
ap-8428	73	29	of	of	ADP
ap-8428	73	30	the	the	DET
ap-8428	73	31	cbc	cbc	PROPN
ap-8428	73	32	(	(	PUNCT
ap-8428	73	33	figure	figure	NOUN
ap-8428	73	34	2a	2a	NUM
ap-8428	73	35	)	)	PUNCT
ap-8428	73	36	are	be	AUX
ap-8428	73	37	expressed	express	VERB
ap-8428	73	38	by	by	ADP
ap-8428	73	39	the	the	DET
ap-8428	73	40	equations	equation	NOUN
ap-8428	73	41	2	2	NUM
ap-8428	73	42	and	and	CCONJ
ap-8428	73	43	3	3	NUM
ap-8428	73	44	.	.	X
ap-8428	74	1	d(il1	d(il1	NOUN
ap-8428	74	2	)	)	PUNCT
ap-8428	74	3	dt	dt	NOUN
ap-8428	75	1	=	=	SYM
ap-8428	75	2	v1	v1	PROPN
ap-8428	75	3	l1	l1	PROPN
ap-8428	75	4	−	−	PROPN
ap-8428	75	5	vc1	vc1	PROPN
ap-8428	75	6	l1	l1	PROPN
ap-8428	75	7	d(il2	d(il2	PROPN
ap-8428	75	8	)	)	PUNCT
ap-8428	75	9	dt	dt	PART
ap-8428	75	10	=	=	SYM
ap-8428	75	11	v1	v1	NOUN
ap-8428	75	12	l2	l2	NOUN
ap-8428	75	13	−	−	NOUN
ap-8428	75	14	vc2	vc2	NOUN
ap-8428	75	15	l2	l2	PROPN
ap-8428	75	16	d(vc1	d(vc1	NOUN
ap-8428	75	17	)	)	PUNCT
ap-8428	75	18	dt	dt	X
ap-8428	76	1	=	=	SYM
ap-8428	76	2	il1	il1	PROPN
ap-8428	76	3	c1	c1	PROPN
ap-8428	76	4	d(vc2	d(vc2	PROPN
ap-8428	76	5	)	)	PUNCT
ap-8428	76	6	dt	dt	NOUN
ap-8428	77	1	=	=	PUNCT
ap-8428	77	2	il2	il2	PROPN
ap-8428	77	3	c2	c2	PROPN
ap-8428	77	4	−	−	PROPN
ap-8428	77	5	v2	v2	PROPN
ap-8428	77	6	rc2	rc2	PROPN
ap-8428	77	7			NOUN
ap-8428	77	8	(	(	PUNCT
ap-8428	77	9	2	2	NUM
ap-8428	77	10	)	)	PUNCT
ap-8428	77	11	v2	v2	NOUN
ap-8428	77	12	=	=	SYM
ap-8428	77	13	vc2	vc2	PROPN
ap-8428	77	14	(	(	PUNCT
ap-8428	77	15	3	3	NUM
ap-8428	77	16	)	)	PUNCT
ap-8428	77	17	52	52	NUM
ap-8428	77	18	vol	vol	NOUN
ap-8428	77	19	.	.	PUNCT
ap-8428	78	1	63	63	NUM
ap-8428	78	2	no	no	NOUN
ap-8428	78	3	.	.	PUNCT
ap-8428	79	1	1/2023	1/2023	NUM
ap-8428	79	2	comparative	comparative	ADJ
ap-8428	79	3	study	study	NOUN
ap-8428	79	4	of	of	ADP
ap-8428	79	5	state	state	NOUN
ap-8428	79	6	space	space	NOUN
ap-8428	79	7	averaging	averaging	NOUN
ap-8428	79	8	and	and	CCONJ
ap-8428	79	9	pwm	pwm	NOUN
ap-8428	79	10	.	.	PUNCT
ap-8428	79	11	.	.	PUNCT
ap-8428	79	12	.	.	PUNCT
ap-8428	80	1	similarly	similarly	ADV
ap-8428	80	2	,	,	PUNCT
ap-8428	80	3	the	the	DET
ap-8428	80	4	state	state	NOUN
ap-8428	80	5	equation	equation	NOUN
ap-8428	80	6	and	and	CCONJ
ap-8428	80	7	output	output	NOUN
ap-8428	80	8	equation	equation	NOUN
ap-8428	80	9	in	in	ADP
ap-8428	80	10	off	off	ADP
ap-8428	80	11	state	state	NOUN
ap-8428	80	12	of	of	ADP
ap-8428	80	13	the	the	DET
ap-8428	80	14	converter	converter	NOUN
ap-8428	80	15	(	(	PUNCT
ap-8428	80	16	figure	figure	NOUN
ap-8428	80	17	2b	2b	NOUN
ap-8428	80	18	)	)	PUNCT
ap-8428	80	19	are	be	AUX
ap-8428	80	20	expressed	express	VERB
ap-8428	80	21	by	by	ADP
ap-8428	80	22	the	the	DET
ap-8428	80	23	equations	equation	NOUN
ap-8428	80	24	(	(	PUNCT
ap-8428	80	25	4	4	NUM
ap-8428	80	26	)	)	PUNCT
ap-8428	80	27	and	and	CCONJ
ap-8428	80	28	(	(	PUNCT
ap-8428	80	29	5	5	NUM
ap-8428	80	30	)	)	PUNCT
ap-8428	80	31	.	.	PUNCT
ap-8428	81	1	d(il1	d(il1	NOUN
ap-8428	81	2	)	)	PUNCT
ap-8428	81	3	dt	dt	NOUN
ap-8428	82	1	=	=	PUNCT
ap-8428	82	2	−vc1	−vc1	PROPN
ap-8428	82	3	l1	l1	PROPN
ap-8428	82	4	d(il2	d(il2	PROPN
ap-8428	82	5	)	)	PUNCT
ap-8428	82	6	dt	dt	NOUN
ap-8428	83	1	=	=	SYM
ap-8428	83	2	vc1	vc1	NOUN
ap-8428	83	3	l2	l2	NOUN
ap-8428	83	4	−	−	PROPN
ap-8428	83	5	vc2	vc2	NOUN
ap-8428	83	6	l2	l2	PROPN
ap-8428	83	7	d(vc1	d(vc1	NOUN
ap-8428	83	8	)	)	PUNCT
ap-8428	83	9	dt	dt	X
ap-8428	84	1	=	=	SYM
ap-8428	84	2	il1	il1	PROPN
ap-8428	84	3	c1	c1	PROPN
ap-8428	84	4	−	−	PROPN
ap-8428	84	5	il2	il2	PROPN
ap-8428	84	6	c1	c1	PROPN
ap-8428	84	7	d(vc2	d(vc2	PROPN
ap-8428	84	8	)	)	PUNCT
ap-8428	84	9	dt	dt	NOUN
ap-8428	85	1	=	=	PUNCT
ap-8428	85	2	il2	il2	PROPN
ap-8428	85	3	c2	c2	PROPN
ap-8428	85	4	−	−	PROPN
ap-8428	85	5	v2	v2	PROPN
ap-8428	85	6	rc2	rc2	PROPN
ap-8428	85	7			NOUN
ap-8428	85	8	(	(	PUNCT
ap-8428	85	9	4	4	NUM
ap-8428	85	10	)	)	PUNCT
ap-8428	85	11	v2	v2	PROPN
ap-8428	85	12	=	=	SYM
ap-8428	85	13	vc2	vc2	PROPN
ap-8428	85	14	(	(	PUNCT
ap-8428	85	15	5	5	NUM
ap-8428	85	16	)	)	PUNCT
ap-8428	85	17	the	the	DET
ap-8428	85	18	general	general	ADJ
ap-8428	85	19	form	form	NOUN
ap-8428	85	20	of	of	ADP
ap-8428	85	21	state	state	NOUN
ap-8428	85	22	equations	equation	NOUN
ap-8428	85	23	for	for	ADP
ap-8428	85	24	on	on	ADP
ap-8428	85	25	state	state	NOUN
ap-8428	85	26	and	and	CCONJ
ap-8428	85	27	off	off	ADJ
ap-8428	85	28	state	state	NOUN
ap-8428	85	29	are	be	AUX
ap-8428	85	30	given	give	VERB
ap-8428	85	31	as	as	ADP
ap-8428	85	32	,	,	PUNCT
ap-8428	85	33	ẋ(t	ẋ(t	NUM
ap-8428	85	34	)	)	PUNCT
ap-8428	85	35	=	=	SYM
ap-8428	85	36	a1x(t	a1x(t	PROPN
ap-8428	85	37	)	)	PUNCT
ap-8428	86	1	+	+	NOUN
ap-8428	86	2	b1u(t	b1u(t	PROPN
ap-8428	86	3	)	)	PUNCT
ap-8428	86	4	during	during	ADP
ap-8428	86	5	dt	dt	PROPN
ap-8428	86	6	ẋ(t	ẋ(t	NOUN
ap-8428	86	7	)	)	PUNCT
ap-8428	86	8	=	=	SYM
ap-8428	86	9	a2x(t	a2x(t	PROPN
ap-8428	86	10	)	)	PUNCT
ap-8428	87	1	+	+	NOUN
ap-8428	87	2	b2u(t	b2u(t	PROPN
ap-8428	87	3	)	)	PUNCT
ap-8428	87	4	during	during	ADP
ap-8428	87	5	d’t	d’t	PROPN
ap-8428	87	6	y	y	PROPN
ap-8428	87	7	(	(	PUNCT
ap-8428	87	8	t	t	PROPN
ap-8428	87	9	)	)	PUNCT
ap-8428	87	10	=	=	SYM
ap-8428	87	11	c1x(t	c1x(t	PROPN
ap-8428	87	12	)	)	PUNCT
ap-8428	87	13	during	during	ADP
ap-8428	87	14	dt	dt	PROPN
ap-8428	87	15	y	y	PROPN
ap-8428	87	16	(	(	PUNCT
ap-8428	87	17	t	t	PROPN
ap-8428	87	18	)	)	PUNCT
ap-8428	87	19	=	=	SYM
ap-8428	87	20	c2x(t	c2x(t	PROPN
ap-8428	87	21	)	)	PUNCT
ap-8428	87	22	during	during	ADP
ap-8428	87	23	d’t	d’t	NOUN
ap-8428	87	24	where	where	SCONJ
ap-8428	87	25	x(t	x(t	PROPN
ap-8428	87	26	)	)	PUNCT
ap-8428	87	27	is	be	AUX
ap-8428	87	28	the	the	DET
ap-8428	87	29	state	state	NOUN
ap-8428	87	30	vector	vector	NOUN
ap-8428	87	31	,	,	PUNCT
ap-8428	87	32	x(t	x(t	PROPN
ap-8428	87	33	)	)	PUNCT
ap-8428	87	34	is	be	AUX
ap-8428	87	35	the	the	DET
ap-8428	87	36	state	state	NOUN
ap-8428	87	37	variable	variable	ADJ
ap-8428	87	38	matrix	matrix	NOUN
ap-8428	87	39	,	,	PUNCT
ap-8428	87	40	u(t	u(t	PROPN
ap-8428	87	41	)	)	PUNCT
ap-8428	87	42	is	be	AUX
ap-8428	87	43	the	the	DET
ap-8428	87	44	input	input	ADJ
ap-8428	87	45	variable	variable	ADJ
ap-8428	87	46	matrix	matrix	NOUN
ap-8428	87	47	,	,	PUNCT
ap-8428	87	48	a1	a1	NOUN
ap-8428	87	49	and	and	CCONJ
ap-8428	87	50	a2	a2	PROPN
ap-8428	87	51	are	be	AUX
ap-8428	87	52	the	the	DET
ap-8428	87	53	state	state	NOUN
ap-8428	87	54	matrices	matrix	NOUN
ap-8428	87	55	and	and	CCONJ
ap-8428	87	56	b1	b1	NOUN
ap-8428	87	57	and	and	CCONJ
ap-8428	87	58	b2	b2	NOUN
ap-8428	87	59	are	be	AUX
ap-8428	87	60	the	the	DET
ap-8428	87	61	input	input	NOUN
ap-8428	87	62	matrices	matrix	NOUN
ap-8428	87	63	,	,	PUNCT
ap-8428	87	64	c1	c1	PROPN
ap-8428	87	65	and	and	CCONJ
ap-8428	87	66	c2	c2	PROPN
ap-8428	87	67	are	be	AUX
ap-8428	87	68	the	the	DET
ap-8428	87	69	output	output	NOUN
ap-8428	87	70	matrices	matrix	NOUN
ap-8428	87	71	and	and	CCONJ
ap-8428	87	72	d	d	NOUN
ap-8428	87	73	is	be	AUX
ap-8428	87	74	the	the	DET
ap-8428	87	75	switching	switch	VERB
ap-8428	87	76	function	function	NOUN
ap-8428	87	77	.	.	PUNCT
ap-8428	88	1	thus	thus	ADV
ap-8428	88	2	,	,	PUNCT
ap-8428	88	3	equations	equation	NOUN
ap-8428	88	4	(	(	PUNCT
ap-8428	88	5	2	2	NUM
ap-8428	88	6	)	)	PUNCT
ap-8428	88	7	and	and	CCONJ
ap-8428	88	8	(	(	PUNCT
ap-8428	88	9	3	3	X
ap-8428	88	10	)	)	PUNCT
ap-8428	88	11	are	be	AUX
ap-8428	88	12	represented	represent	VERB
ap-8428	88	13	in	in	ADP
ap-8428	88	14	matrix	matrix	NOUN
ap-8428	88	15	form	form	NOUN
ap-8428	88	16	as	as	ADP
ap-8428	88	17	,	,	PUNCT
ap-8428	88	18			NOUN
ap-8428	88	19	˙il1	˙il1	NOUN
ap-8428	88	20	˙il2	˙il2	ADP
ap-8428	88	21	˙vc1	˙vc1	ADV
ap-8428	88	22	˙vc2	˙vc2	ADJ
ap-8428	89	1			ADJ
ap-8428	89	2	=	=	SYM
ap-8428	89	3			NOUN
ap-8428	89	4	0	0	NUM
ap-8428	89	5	0	0	NUM
ap-8428	89	6	−1	−1	NOUN
ap-8428	89	7	/	/	SYM
ap-8428	89	8	l1	l1	PROPN
ap-8428	89	9	0	0	NUM
ap-8428	89	10	0	0	NUM
ap-8428	89	11	0	0	NUM
ap-8428	89	12	0	0	NUM
ap-8428	89	13	−1	−1	NOUN
ap-8428	89	14	/	/	SYM
ap-8428	89	15	l2	l2	NOUN
ap-8428	89	16	−1	−1	NOUN
ap-8428	89	17	/	/	SYM
ap-8428	89	18	c1	c1	NOUN
ap-8428	89	19	0	0	NUM
ap-8428	89	20	0	0	NUM
ap-8428	89	21	0	0	NUM
ap-8428	89	22	0	0	NUM
ap-8428	89	23	1	1	NUM
ap-8428	89	24	/	/	SYM
ap-8428	89	25	c2	c2	PROPN
ap-8428	89	26	0	0	NUM
ap-8428	89	27	−1	−1	SYM
ap-8428	89	28	/	/	SYM
ap-8428	89	29	rc2	rc2	PROPN
ap-8428	89	30			PROPN
ap-8428	89	31			NOUN
ap-8428	89	32	il1	il1	NOUN
ap-8428	89	33	il2	il2	VERB
ap-8428	89	34	vc1	vc1	PROPN
ap-8428	89	35	vc2	vc2	VERB
ap-8428	90	1	+	+	PROPN
ap-8428	90	2			NOUN
ap-8428	90	3	1	1	NUM
ap-8428	90	4	/	/	SYM
ap-8428	90	5	l1	l1	PROPN
ap-8428	90	6	1	1	NUM
ap-8428	90	7	/	/	SYM
ap-8428	90	8	l2	l2	NOUN
ap-8428	90	9	0	0	NUM
ap-8428	90	10	0	0	NUM
ap-8428	90	11	v1	v1	X
ap-8428	90	12	(	(	PUNCT
ap-8428	90	13	6	6	NUM
ap-8428	90	14	)	)	PUNCT
ap-8428	90	15	and	and	CCONJ
ap-8428	90	16	v2	v2	X
ap-8428	91	1	=	=	PUNCT
ap-8428	92	1	[	[	X
ap-8428	92	2	0	0	NUM
ap-8428	92	3	0	0	NUM
ap-8428	92	4	0	0	NUM
ap-8428	92	5	1	1	NUM
ap-8428	92	6	]	]	PUNCT
ap-8428	92	7			NOUN
ap-8428	92	8	il1	il1	PROPN
ap-8428	92	9	il2	il2	VERB
ap-8428	92	10	vc1	vc1	NOUN
ap-8428	92	11	vc2	vc2	PUNCT
ap-8428	93	1			PROPN
ap-8428	93	2	(	(	PUNCT
ap-8428	93	3	7	7	NUM
ap-8428	93	4	)	)	PUNCT
ap-8428	93	5	equations	equation	NOUN
ap-8428	93	6	(	(	PUNCT
ap-8428	93	7	4	4	NUM
ap-8428	93	8	)	)	PUNCT
ap-8428	93	9	and	and	CCONJ
ap-8428	93	10	(	(	PUNCT
ap-8428	93	11	5	5	X
ap-8428	93	12	)	)	PUNCT
ap-8428	93	13	are	be	AUX
ap-8428	93	14	represented	represent	VERB
ap-8428	93	15	in	in	ADP
ap-8428	93	16	matrix	matrix	NOUN
ap-8428	93	17	form	form	NOUN
ap-8428	93	18	as	as	ADP
ap-8428	93	19	,	,	PUNCT
ap-8428	93	20			NOUN
ap-8428	93	21	˙il1	˙il1	NOUN
ap-8428	93	22	˙il2	˙il2	ADP
ap-8428	93	23	˙vc1	˙vc1	ADV
ap-8428	93	24	˙vc2	˙vc2	ADJ
ap-8428	94	1			ADJ
ap-8428	94	2	=	=	SYM
ap-8428	94	3			NOUN
ap-8428	94	4	0	0	NUM
ap-8428	94	5	0	0	NUM
ap-8428	94	6	−1	−1	NOUN
ap-8428	94	7	/	/	SYM
ap-8428	94	8	l1	l1	PROPN
ap-8428	94	9	0	0	NUM
ap-8428	94	10	0	0	NUM
ap-8428	94	11	0	0	NUM
ap-8428	94	12	1	1	NUM
ap-8428	94	13	/	/	SYM
ap-8428	94	14	l2	l2	NOUN
ap-8428	94	15	−1	−1	NOUN
ap-8428	94	16	/	/	SYM
ap-8428	94	17	l2	l2	NOUN
ap-8428	94	18	1	1	NUM
ap-8428	94	19	/	/	SYM
ap-8428	94	20	c1	c1	PROPN
ap-8428	94	21	−1	−1	NOUN
ap-8428	94	22	/	/	SYM
ap-8428	94	23	c1	c1	PROPN
ap-8428	94	24	0	0	NUM
ap-8428	94	25	0	0	NUM
ap-8428	94	26	0	0	NUM
ap-8428	94	27	1	1	NUM
ap-8428	94	28	/	/	SYM
ap-8428	94	29	c2	c2	PROPN
ap-8428	94	30	0	0	NUM
ap-8428	94	31	−1	−1	SYM
ap-8428	94	32	/	/	SYM
ap-8428	94	33	rc2	rc2	PROPN
ap-8428	94	34			PROPN
ap-8428	94	35			NOUN
ap-8428	94	36	il1	il1	NOUN
ap-8428	94	37	il2	il2	VERB
ap-8428	94	38	vc1	vc1	PROPN
ap-8428	94	39	vc2	vc2	VERB
ap-8428	95	1	+	+	PROPN
ap-8428	95	2			NOUN
ap-8428	95	3	0	0	NUM
ap-8428	95	4	0	0	NUM
ap-8428	95	5	0	0	NUM
ap-8428	95	6	0	0	NUM
ap-8428	95	7	v1	v1	X
ap-8428	95	8	(	(	PUNCT
ap-8428	95	9	8)	8)	NUM
ap-8428	95	10	and	and	CCONJ
ap-8428	95	11	v2	v2	NOUN
ap-8428	95	12	=	=	PUNCT
ap-8428	96	1	[	[	X
ap-8428	96	2	0	0	NUM
ap-8428	96	3	0	0	NUM
ap-8428	96	4	0	0	NUM
ap-8428	96	5	1	1	NUM
ap-8428	96	6	]	]	PUNCT
ap-8428	96	7			NOUN
ap-8428	96	8	il1	il1	PROPN
ap-8428	96	9	il2	il2	VERB
ap-8428	96	10	vc1	vc1	NOUN
ap-8428	96	11	vc2	vc2	PROPN
ap-8428	96	12			NOUN
ap-8428	96	13	.	.	PUNCT
ap-8428	97	1	(	(	PUNCT
ap-8428	97	2	9	9	X
ap-8428	97	3	)	)	PUNCT
ap-8428	97	4	the	the	DET
ap-8428	97	5	matrices	matrix	NOUN
ap-8428	97	6	of	of	ADP
ap-8428	97	7	equations	equation	NOUN
ap-8428	97	8	(	(	PUNCT
ap-8428	97	9	6	6	NUM
ap-8428	97	10	)	)	PUNCT
ap-8428	97	11	to	to	ADP
ap-8428	97	12	(	(	PUNCT
ap-8428	97	13	9	9	NUM
ap-8428	97	14	)	)	PUNCT
ap-8428	97	15	are	be	AUX
ap-8428	97	16	averaged	average	VERB
ap-8428	97	17	with	with	ADP
ap-8428	97	18	respect	respect	NOUN
ap-8428	97	19	to	to	ADP
ap-8428	97	20	switching	switch	VERB
ap-8428	97	21	function	function	NOUN
ap-8428	97	22	d	d	NOUN
ap-8428	97	23	and	and	CCONJ
ap-8428	97	24	d′	d′	PRON
ap-8428	97	25	and	and	CCONJ
ap-8428	97	26	are	be	AUX
ap-8428	97	27	given	give	VERB
ap-8428	97	28	in	in	ADP
ap-8428	97	29	equations	equation	NOUN
ap-8428	97	30	(	(	PUNCT
ap-8428	97	31	10	10	NUM
ap-8428	97	32	)	)	PUNCT
ap-8428	97	33	and	and	CCONJ
ap-8428	97	34	(	(	PUNCT
ap-8428	97	35	11	11	NUM
ap-8428	97	36	)	)	PUNCT
ap-8428	97	37	.	.	PUNCT
ap-8428	98	1	a	a	DET
ap-8428	98	2	=	=	X
ap-8428	98	3	a1d	a1d	NOUN
ap-8428	98	4	+	+	PROPN
ap-8428	98	5	a2d	a2d	PROPN
ap-8428	98	6	′	′	NUM
ap-8428	98	7	=	=	NOUN
ap-8428	98	8			NOUN
ap-8428	98	9	0	0	NUM
ap-8428	98	10	0	0	NUM
ap-8428	98	11	−1	−1	NOUN
ap-8428	98	12	/	/	SYM
ap-8428	98	13	l1	l1	PROPN
ap-8428	98	14	0	0	NUM
ap-8428	98	15	0	0	NUM
ap-8428	98	16	0	0	NUM
ap-8428	98	17	d	d	NOUN
ap-8428	98	18	′	′	NUM
ap-8428	98	19	/l2	/l2	NOUN
ap-8428	98	20	−1	−1	NOUN
ap-8428	98	21	/	/	SYM
ap-8428	98	22	l2	l2	NOUN
ap-8428	98	23	1	1	NUM
ap-8428	98	24	/	/	SYM
ap-8428	98	25	c1	c1	NOUN
ap-8428	98	26	−d′	−d′	PROPN
ap-8428	98	27	/c1	/c1	VERB
ap-8428	98	28	0	0	NUM
ap-8428	98	29	0	0	NUM
ap-8428	98	30	0	0	NUM
ap-8428	98	31	1	1	NUM
ap-8428	98	32	/	/	SYM
ap-8428	98	33	c2	c2	PROPN
ap-8428	98	34	0	0	NUM
ap-8428	98	35	−1	−1	SYM
ap-8428	98	36	/	/	SYM
ap-8428	98	37	rc2	rc2	PROPN
ap-8428	98	38	&b	&b	VERB
ap-8428	98	39	=	=	NOUN
ap-8428	98	40	b1d	b1d	NOUN
ap-8428	98	41	+	+	NOUN
ap-8428	98	42	b2d	b2d	NOUN
ap-8428	98	43	′	′	NUM
ap-8428	98	44	=	=	PUNCT
ap-8428	98	45			NOUN
ap-8428	98	46	d	d	X
ap-8428	98	47	/	/	SYM
ap-8428	98	48	l1	l1	PROPN
ap-8428	98	49	d	d	PROPN
ap-8428	98	50	/	/	SYM
ap-8428	98	51	l2	l2	NOUN
ap-8428	98	52	0	0	NUM
ap-8428	98	53	0	0	NUM
ap-8428	98	54			NOUN
ap-8428	98	55	(	(	PUNCT
ap-8428	98	56	10	10	NUM
ap-8428	98	57	)	)	PUNCT
ap-8428	98	58	c	c	NOUN
ap-8428	99	1	=	=	SYM
ap-8428	99	2	c1d	c1d	PROPN
ap-8428	99	3	+	+	CCONJ
ap-8428	99	4	c2d	c2d	NOUN
ap-8428	99	5	′	′	NUM
ap-8428	100	1	=	=	PUNCT
ap-8428	100	2	[	[	PUNCT
ap-8428	100	3	0	0	NUM
ap-8428	100	4	0	0	NUM
ap-8428	100	5	0	0	NUM
ap-8428	100	6	1	1	NUM
ap-8428	100	7	]	]	PUNCT
ap-8428	100	8	(	(	PUNCT
ap-8428	100	9	11	11	NUM
ap-8428	100	10	)	)	PUNCT
ap-8428	100	11	53	53	NUM
ap-8428	100	12	sangeeta	sangeeta	PROPN
ap-8428	100	13	shete	shete	PROPN
ap-8428	100	14	,	,	PUNCT
ap-8428	100	15	prasad	prasad	PROPN
ap-8428	100	16	joshi	joshi	PROPN
ap-8428	100	17	acta	acta	PROPN
ap-8428	100	18	polytechnica	polytechnica	PROPN
ap-8428	100	19	thus	thus	ADV
ap-8428	100	20	,	,	PUNCT
ap-8428	100	21	a	a	DET
ap-8428	100	22	complete	complete	ADJ
ap-8428	100	23	averaged	average	VERB
ap-8428	100	24	state	state	NOUN
ap-8428	100	25	space	space	NOUN
ap-8428	100	26	model	model	NOUN
ap-8428	100	27	of	of	ADP
ap-8428	100	28	the	the	DET
ap-8428	100	29	cbc	cbc	NOUN
ap-8428	100	30	is	be	AUX
ap-8428	100	31	given	give	VERB
ap-8428	100	32	by	by	ADP
ap-8428	100	33	the	the	DET
ap-8428	100	34	equations	equation	NOUN
ap-8428	100	35	(	(	PUNCT
ap-8428	100	36	12	12	NUM
ap-8428	100	37	)	)	PUNCT
ap-8428	100	38	and	and	CCONJ
ap-8428	100	39	(	(	PUNCT
ap-8428	100	40	13	13	NUM
ap-8428	100	41	)	)	PUNCT
ap-8428	100	42	.	.	PUNCT
ap-8428	101	1			NOUN
ap-8428	101	2	˙il1	˙il1	NOUN
ap-8428	101	3	˙il2	˙il2	VERB
ap-8428	101	4	˙vc1	˙vc1	ADV
ap-8428	101	5	˙vc2	˙vc2	ADJ
ap-8428	101	6			ADJ
ap-8428	101	7	=	=	SYM
ap-8428	101	8			NOUN
ap-8428	101	9	0	0	NUM
ap-8428	101	10	0	0	NUM
ap-8428	101	11	−1	−1	NOUN
ap-8428	101	12	/	/	SYM
ap-8428	101	13	l1	l1	PROPN
ap-8428	101	14	0	0	NUM
ap-8428	101	15	0	0	NUM
ap-8428	101	16	0	0	NUM
ap-8428	102	1	d	d	NOUN
ap-8428	102	2	′	′	NUM
ap-8428	102	3	/l2	/l2	NOUN
ap-8428	102	4	−1	−1	NOUN
ap-8428	102	5	/	/	SYM
ap-8428	102	6	l2	l2	NOUN
ap-8428	102	7	1	1	NUM
ap-8428	102	8	/	/	SYM
ap-8428	102	9	c1	c1	NOUN
ap-8428	102	10	−d′	−d′	PROPN
ap-8428	102	11	/c1	/c1	VERB
ap-8428	102	12	0	0	NUM
ap-8428	102	13	0	0	NUM
ap-8428	102	14	0	0	NUM
ap-8428	102	15	1	1	NUM
ap-8428	102	16	/	/	SYM
ap-8428	102	17	c2	c2	PROPN
ap-8428	102	18	0	0	NUM
ap-8428	102	19	−1	−1	SYM
ap-8428	102	20	/	/	SYM
ap-8428	102	21	rc2	rc2	PROPN
ap-8428	102	22			PROPN
ap-8428	102	23			NOUN
ap-8428	102	24	il1	il1	NOUN
ap-8428	102	25	il2	il2	VERB
ap-8428	102	26	vc1	vc1	PROPN
ap-8428	102	27	vc2	vc2	VERB
ap-8428	103	1	+	+	PROPN
ap-8428	103	2			NOUN
ap-8428	103	3	d	d	NOUN
ap-8428	103	4	/	/	SYM
ap-8428	103	5	l1	l1	PROPN
ap-8428	103	6	d	d	PROPN
ap-8428	103	7	/	/	SYM
ap-8428	103	8	l2	l2	NOUN
ap-8428	103	9	0	0	NUM
ap-8428	103	10	0	0	NUM
ap-8428	103	11	v1	v1	X
ap-8428	103	12	(	(	PUNCT
ap-8428	103	13	12	12	NUM
ap-8428	103	14	)	)	PUNCT
ap-8428	103	15	v2	v2	NOUN
ap-8428	103	16	=	=	SYM
ap-8428	103	17	[	[	PUNCT
ap-8428	103	18	0	0	NUM
ap-8428	103	19	0	0	NUM
ap-8428	103	20	0	0	NUM
ap-8428	103	21	1	1	NUM
ap-8428	103	22	]	]	PUNCT
ap-8428	103	23			NOUN
ap-8428	103	24	il1	il1	PROPN
ap-8428	103	25	il2	il2	VERB
ap-8428	103	26	vc1	vc1	NOUN
ap-8428	103	27	vc2	vc2	PUNCT
ap-8428	104	1			PROPN
ap-8428	104	2	(	(	PUNCT
ap-8428	104	3	13	13	NUM
ap-8428	104	4	)	)	PUNCT
ap-8428	104	5	to	to	PART
ap-8428	104	6	obtain	obtain	VERB
ap-8428	104	7	the	the	DET
ap-8428	104	8	linear	linear	ADJ
ap-8428	104	9	small	small	ADJ
ap-8428	104	10	-	-	PUNCT
ap-8428	104	11	signal	signal	NOUN
ap-8428	104	12	state	state	NOUN
ap-8428	104	13	-	-	PUNCT
ap-8428	104	14	space	space	NOUN
ap-8428	104	15	model	model	NOUN
ap-8428	104	16	,	,	PUNCT
ap-8428	104	17	perturbation	perturbation	NOUN
ap-8428	104	18	is	be	AUX
ap-8428	104	19	added	add	VERB
ap-8428	104	20	in	in	ADP
ap-8428	104	21	each	each	DET
ap-8428	104	22	state	state	NOUN
ap-8428	104	23	variables	variable	NOUN
ap-8428	104	24	and	and	CCONJ
ap-8428	104	25	linear	linear	VERB
ap-8428	104	26	steady	steady	ADJ
ap-8428	104	27	state	state	NOUN
ap-8428	104	28	model	model	NOUN
ap-8428	104	29	is	be	AUX
ap-8428	104	30	obtained	obtain	VERB
ap-8428	104	31	as	as	ADP
ap-8428	104	32	in	in	ADP
ap-8428	104	33	equation	equation	NOUN
ap-8428	104	34	(	(	PUNCT
ap-8428	104	35	14	14	NUM
ap-8428	104	36	)	)	PUNCT
ap-8428	104	37	.	.	PUNCT
ap-8428	105	1			PROPN
ap-8428	105	2	˙̂	˙̂	VERB
ap-8428	106	1	il1	il1	PROPN
ap-8428	106	2	˙̂	˙̂	PROPN
ap-8428	106	3	il2	il2	VERB
ap-8428	106	4	˙̂	˙̂	PROPN
ap-8428	106	5	v	v	PROPN
ap-8428	106	6	c1	c1	PROPN
ap-8428	106	7	˙̂	˙̂	NOUN
ap-8428	106	8	v	v	ADP
ap-8428	106	9	c2	c2	PROPN
ap-8428	106	10			NUM
ap-8428	106	11	=	=	PUNCT
ap-8428	106	12			NOUN
ap-8428	106	13	0	0	NUM
ap-8428	106	14	0	0	NUM
ap-8428	106	15	−1	−1	NOUN
ap-8428	106	16	/	/	SYM
ap-8428	106	17	l1	l1	PROPN
ap-8428	106	18	0	0	NUM
ap-8428	106	19	0	0	NUM
ap-8428	106	20	0	0	NUM
ap-8428	107	1	d	d	NOUN
ap-8428	107	2	′	′	NUM
ap-8428	107	3	/l2	/l2	NOUN
ap-8428	107	4	−1	−1	NOUN
ap-8428	107	5	/	/	SYM
ap-8428	107	6	l2	l2	NOUN
ap-8428	107	7	1	1	NUM
ap-8428	107	8	/	/	SYM
ap-8428	107	9	c1	c1	NOUN
ap-8428	107	10	−d′	−d′	PROPN
ap-8428	107	11	/c1	/c1	VERB
ap-8428	107	12	0	0	NUM
ap-8428	107	13	0	0	NUM
ap-8428	107	14	0	0	NUM
ap-8428	107	15	1	1	NUM
ap-8428	107	16	/	/	SYM
ap-8428	107	17	c2	c2	PROPN
ap-8428	107	18	0	0	NUM
ap-8428	107	19	−1	−1	SYM
ap-8428	107	20	/	/	SYM
ap-8428	107	21	rc2	rc2	PROPN
ap-8428	107	22			PROPN
ap-8428	107	23			NOUN
ap-8428	107	24	îl1	îl1	NOUN
ap-8428	107	25	îl2	îl2	VERB
ap-8428	107	26	v̂c1	v̂c1	PROPN
ap-8428	107	27	v̂c2	v̂c2	PROPN
ap-8428	108	1	+	+	PROPN
ap-8428	108	2			NOUN
ap-8428	108	3	−v1	−v1	NOUN
ap-8428	108	4	/	/	SYM
ap-8428	108	5	d	d	PROPN
ap-8428	108	6	′	′	NUM
ap-8428	108	7	l1	l1	PROPN
ap-8428	108	8	v1	v1	PROPN
ap-8428	108	9	/	/	SYM
ap-8428	109	1	d	d	NOUN
ap-8428	109	2	′	′	NOUN
ap-8428	109	3	l2	l2	NOUN
ap-8428	109	4	−dv1/2rc1	−dv1/2rc1	PRON
ap-8428	109	5	0	0	NUM
ap-8428	110	1			PROPN
ap-8428	110	2	(	(	PUNCT
ap-8428	110	3	14	14	NUM
ap-8428	110	4	)	)	PUNCT
ap-8428	110	5	the	the	DET
ap-8428	110	6	general	general	ADJ
ap-8428	110	7	equation	equation	NOUN
ap-8428	110	8	of	of	ADP
ap-8428	110	9	laplace	laplace	NOUN
ap-8428	110	10	transform	transform	NOUN
ap-8428	110	11	of	of	ADP
ap-8428	110	12	the	the	DET
ap-8428	110	13	linear	linear	ADJ
ap-8428	110	14	steady	steady	ADJ
ap-8428	110	15	state	state	NOUN
ap-8428	110	16	model	model	NOUN
ap-8428	110	17	is	be	AUX
ap-8428	110	18	given	give	VERB
ap-8428	110	19	by	by	ADP
ap-8428	110	20	the	the	DET
ap-8428	110	21	following	follow	VERB
ap-8428	110	22	expression	expression	NOUN
ap-8428	110	23	,	,	PUNCT
ap-8428	110	24	x̂(s	x̂(s	PRON
ap-8428	110	25	)	)	PUNCT
ap-8428	110	26	=	=	PUNCT
ap-8428	111	1	[	[	X
ap-8428	111	2	si	si	X
ap-8428	111	3	−a]−1[(a1	−a]−1[(a1	PROPN
ap-8428	111	4	−a2)x	−a2)x	NOUN
ap-8428	111	5	+	+	CCONJ
ap-8428	111	6	(	(	PUNCT
ap-8428	111	7	b1	b1	NOUN
ap-8428	111	8	−b2)u	−b2)u	NOUN
ap-8428	111	9	]	]	PUNCT
ap-8428	111	10	d̂(s	d̂(s	X
ap-8428	111	11	)	)	PUNCT
ap-8428	111	12	=	=	PUNCT
ap-8428	112	1	[	[	X
ap-8428	112	2	[	[	X
ap-8428	112	3	si	si	X
ap-8428	112	4	−a]−1bd]d̂(s	−a]−1bd]d̂(s	PROPN
ap-8428	112	5	)	)	PUNCT
ap-8428	112	6	.	.	PUNCT
ap-8428	113	1	(	(	PUNCT
ap-8428	113	2	15	15	NUM
ap-8428	113	3	)	)	PUNCT
ap-8428	113	4	for	for	ADP
ap-8428	113	5	cbc	cbc	PROPN
ap-8428	113	6	,	,	PUNCT
ap-8428	113	7	(	(	PUNCT
ap-8428	113	8	si	si	NOUN
ap-8428	113	9	−a	−a	NOUN
ap-8428	113	10	)	)	PUNCT
ap-8428	114	1	=	=	SYM
ap-8428	114	2	s	s	VERB
ap-8428	114	3			NOUN
ap-8428	114	4	1	1	NUM
ap-8428	114	5	0	0	NUM
ap-8428	114	6	0	0	NUM
ap-8428	114	7	0	0	NUM
ap-8428	114	8	0	0	NUM
ap-8428	114	9	1	1	NUM
ap-8428	114	10	0	0	NUM
ap-8428	114	11	0	0	NUM
ap-8428	114	12	0	0	NUM
ap-8428	114	13	0	0	NUM
ap-8428	114	14	1	1	NUM
ap-8428	114	15	0	0	NUM
ap-8428	114	16	0	0	NUM
ap-8428	114	17	0	0	NUM
ap-8428	114	18	0	0	NUM
ap-8428	114	19	1	1	NUM
ap-8428	114	20	−	−	NOUN
ap-8428	114	21			NOUN
ap-8428	114	22	0	0	NUM
ap-8428	114	23	0	0	NUM
ap-8428	114	24	−1	−1	NOUN
ap-8428	114	25	/	/	SYM
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ap-8428	114	27	0	0	NUM
ap-8428	114	28	0	0	NUM
ap-8428	114	29	0	0	NUM
ap-8428	115	1	d	d	NOUN
ap-8428	115	2	′	′	NUM
ap-8428	115	3	/l2	/l2	NOUN
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ap-8428	115	5	/	/	SYM
ap-8428	115	6	l2	l2	NOUN
ap-8428	115	7	1	1	NUM
ap-8428	115	8	/	/	SYM
ap-8428	115	9	c1	c1	NOUN
ap-8428	115	10	−d′	−d′	PROPN
ap-8428	115	11	/c1	/c1	VERB
ap-8428	115	12	0	0	NUM
ap-8428	115	13	0	0	NUM
ap-8428	115	14	0	0	NUM
ap-8428	115	15	1	1	NUM
ap-8428	115	16	/	/	SYM
ap-8428	115	17	c2	c2	PROPN
ap-8428	115	18	0	0	NUM
ap-8428	115	19	−1	−1	SYM
ap-8428	115	20	/	/	SYM
ap-8428	115	21	rc2	rc2	PROPN
ap-8428	115	22			PROPN
ap-8428	115	23	(	(	PUNCT
ap-8428	115	24	si	si	NOUN
ap-8428	115	25	−a	−a	NOUN
ap-8428	115	26	)	)	PUNCT
ap-8428	116	1	=	=	SYM
ap-8428	116	2			NOUN
ap-8428	116	3	s	s	VERB
ap-8428	116	4	0	0	NUM
ap-8428	116	5	1	1	NUM
ap-8428	116	6	/	/	SYM
ap-8428	116	7	l1	l1	PROPN
ap-8428	116	8	0	0	NUM
ap-8428	116	9	0	0	NUM
ap-8428	116	10	s	s	PART
ap-8428	116	11	−d′	−d′	ADJ
ap-8428	116	12	/l2	/l2	NOUN
ap-8428	116	13	1	1	NUM
ap-8428	116	14	/	/	SYM
ap-8428	116	15	l2	l2	NOUN
ap-8428	116	16	−1	−1	NOUN
ap-8428	116	17	/	/	SYM
ap-8428	116	18	c1	c1	PROPN
ap-8428	116	19	d	d	NOUN
ap-8428	117	1	′	′	NUM
ap-8428	117	2	/c1	/c1	NOUN
ap-8428	118	1	s	s	VERB
ap-8428	118	2	0	0	NUM
ap-8428	118	3	0	0	NUM
ap-8428	118	4	−1	−1	NOUN
ap-8428	118	5	/	/	SYM
ap-8428	118	6	c2	c2	PROPN
ap-8428	118	7	0	0	NUM
ap-8428	118	8	s+	s+	PUNCT
ap-8428	118	9	1	1	NUM
ap-8428	118	10	/	/	SYM
ap-8428	118	11	rc2	rc2	PROPN
ap-8428	118	12			NOUN
ap-8428	118	13	.	.	PUNCT
ap-8428	119	1	(	(	PUNCT
ap-8428	119	2	16	16	NUM
ap-8428	119	3	)	)	PUNCT
ap-8428	119	4	now	now	ADV
ap-8428	119	5	,	,	PUNCT
ap-8428	119	6	[	[	X
ap-8428	119	7	si	si	X
ap-8428	119	8	−a]−1	−a]−1	PROPN
ap-8428	119	9	=	=	SYM
ap-8428	119	10	co	co	NOUN
ap-8428	119	11	-	-	NOUN
ap-8428	119	12	factor	factor	NOUN
ap-8428	119	13	of	of	ADP
ap-8428	119	14	(	(	PUNCT
ap-8428	119	15	(	(	PUNCT
ap-8428	119	16	si	si	X
ap-8428	119	17	−a))t	−a))t	NOUN
ap-8428	119	18	determinant	determinant	ADJ
ap-8428	119	19	of	of	ADP
ap-8428	119	20	(	(	PUNCT
ap-8428	119	21	si	si	NOUN
ap-8428	119	22	−a	−a	NOUN
ap-8428	119	23	)	)	PUNCT
ap-8428	119	24	.	.	PUNCT
ap-8428	120	1	(	(	PUNCT
ap-8428	120	2	17	17	NUM
ap-8428	120	3	)	)	PUNCT
ap-8428	120	4	let	let	VERB
ap-8428	120	5	,	,	PUNCT
ap-8428	120	6	co	co	NOUN
ap-8428	120	7	-	-	NOUN
ap-8428	120	8	factors	factor	NOUN
ap-8428	120	9	of	of	ADP
ap-8428	120	10	(	(	PUNCT
ap-8428	120	11	si	si	NOUN
ap-8428	120	12	−a	−a	NOUN
ap-8428	120	13	)	)	PUNCT
ap-8428	121	1	=	=	SYM
ap-8428	121	2			NOUN
ap-8428	121	3	c11	c11	NOUN
ap-8428	121	4	c12	c12	PROPN
ap-8428	121	5	c13	c13	PROPN
ap-8428	121	6	c14	c14	PROPN
ap-8428	121	7	c21	c21	PROPN
ap-8428	121	8	c22	c22	PROPN
ap-8428	121	9	c23	c23	PROPN
ap-8428	121	10	c24	c24	PROPN
ap-8428	121	11	c31	c31	PROPN
ap-8428	121	12	c32	c32	NOUN
ap-8428	121	13	c33	c33	X
ap-8428	121	14	c34	c34	NOUN
ap-8428	121	15	c41	c41	PROPN
ap-8428	121	16	c42	c42	PROPN
ap-8428	121	17	c43	c43	PROPN
ap-8428	121	18	c44	c44	PROPN
ap-8428	121	19			PROPN
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ap-8428	121	21	,	,	PUNCT
ap-8428	121	22	(	(	PUNCT
ap-8428	121	23	co	co	NOUN
ap-8428	121	24	-	-	NOUN
ap-8428	121	25	factors	factor	NOUN
ap-8428	121	26	of	of	ADP
ap-8428	121	27	(	(	PUNCT
ap-8428	121	28	si	si	PROPN
ap-8428	121	29	−a))t	−a))t	PROPN
ap-8428	121	30	=	=	SYM
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ap-8428	121	32	c11	c11	NOUN
ap-8428	121	33	c21	c21	PROPN
ap-8428	121	34	c31	c31	PROPN
ap-8428	121	35	c41	c41	PROPN
ap-8428	121	36	c12	c12	PROPN
ap-8428	121	37	c22	c22	PROPN
ap-8428	121	38	c32	c32	PROPN
ap-8428	121	39	c42	c42	PROPN
ap-8428	121	40	c13	c13	PROPN
ap-8428	121	41	c23	c23	PROPN
ap-8428	121	42	c33	c33	PROPN
ap-8428	121	43	c43	c43	PROPN
ap-8428	121	44	c14	c14	PROPN
ap-8428	121	45	c24	c24	PROPN
ap-8428	121	46	c34	c34	VERB
ap-8428	121	47	c44	c44	NOUN
ap-8428	121	48			NOUN
ap-8428	121	49	.	.	PUNCT
ap-8428	122	1	(	(	PUNCT
ap-8428	122	2	18	18	NUM
ap-8428	122	3	)	)	PUNCT
ap-8428	122	4	where	where	SCONJ
ap-8428	122	5	,	,	PUNCT
ap-8428	122	6	co	co	NOUN
ap-8428	122	7	-	-	NOUN
ap-8428	122	8	factors	factor	NOUN
ap-8428	122	9	are	be	AUX
ap-8428	122	10	given	give	VERB
ap-8428	122	11	in	in	ADP
ap-8428	122	12	table	table	NOUN
ap-8428	122	13	1	1	NUM
ap-8428	122	14	.	.	PUNCT
ap-8428	122	15	54	54	NUM
ap-8428	122	16	vol	vol	NOUN
ap-8428	122	17	.	.	PUNCT
ap-8428	123	1	63	63	NUM
ap-8428	124	1	no	no	NOUN
ap-8428	124	2	.	.	PUNCT
ap-8428	125	1	1/2023	1/2023	NUM
ap-8428	125	2	comparative	comparative	ADJ
ap-8428	125	3	study	study	NOUN
ap-8428	125	4	of	of	ADP
ap-8428	125	5	state	state	NOUN
ap-8428	125	6	space	space	NOUN
ap-8428	125	7	averaging	averaging	NOUN
ap-8428	125	8	and	and	CCONJ
ap-8428	125	9	pwm	pwm	NOUN
ap-8428	125	10	.	.	PUNCT
ap-8428	125	11	.	.	PUNCT
ap-8428	125	12	.	.	PUNCT
ap-8428	126	1	co	co	ADJ
ap-8428	126	2	-	-	NOUN
ap-8428	126	3	factor	factor	NOUN
ap-8428	126	4	expression	expression	NOUN
ap-8428	126	5	cofactor	cofactor	NOUN
ap-8428	126	6	expression	expression	NOUN
ap-8428	126	7	c11	c11	NOUN
ap-8428	126	8	s3+s2	s3+s2	NOUN
ap-8428	126	9	(	(	PUNCT
ap-8428	126	10	1	1	NUM
ap-8428	126	11	rc2	rc2	PROPN
ap-8428	126	12	)	)	PUNCT
ap-8428	127	1	+	+	NOUN
ap-8428	127	2	s	s	X
ap-8428	127	3	(	(	PUNCT
ap-8428	127	4	1	1	NUM
ap-8428	127	5	l2c2	l2c2	NOUN
ap-8428	127	6	+	+	NOUN
ap-8428	127	7	d	d	PART
ap-8428	127	8	′2	′2	X
ap-8428	127	9	l1c1	l1c1	NOUN
ap-8428	127	10	)	)	PUNCT
ap-8428	128	1	+	+	CCONJ
ap-8428	128	2	d	d	X
ap-8428	128	3	′2	′2	ADV
ap-8428	128	4	rc1c2l2	rc1c2l2	PROPN
ap-8428	128	5	c31	c31	PROPN
ap-8428	128	6	−s2	−s2	PROPN
ap-8428	128	7	1	1	NUM
ap-8428	128	8	l1	l1	PROPN
ap-8428	128	9	−	−	PROPN
ap-8428	128	10	s	s	PART
ap-8428	128	11	1	1	NUM
ap-8428	128	12	rc2l1	rc2l1	NOUN
ap-8428	128	13	+	+	CCONJ
ap-8428	128	14	1	1	NUM
ap-8428	128	15	c2l1l2	c2l1l2	NOUN
ap-8428	128	16	c12	c12	NOUN
ap-8428	128	17	d	d	NOUN
ap-8428	128	18	′	′	NOUN
ap-8428	128	19	l2	l2	NOUN
ap-8428	128	20	−	−	ADP
ap-8428	128	21	1	1	NUM
ap-8428	128	22	rc1c2	rc1c2	PROPN
ap-8428	128	23	−	−	PROPN
ap-8428	128	24	s	s	PART
ap-8428	128	25	1	1	NUM
ap-8428	128	26	c1	c1	NOUN
ap-8428	128	27	c32	c32	NOUN
ap-8428	128	28	−s2d	−s2d	PROPN
ap-8428	128	29	′	′	NOUN
ap-8428	128	30	l2	l2	NOUN
ap-8428	129	1	−	−	PROPN
ap-8428	129	2	s	s	NOUN
ap-8428	129	3	d	d	NOUN
ap-8428	129	4	′	′	NOUN
ap-8428	129	5	rc2c2	rc2c2	PROPN
ap-8428	129	6	c13	c13	NOUN
ap-8428	129	7	s2	s2	NOUN
ap-8428	129	8	1	1	NUM
ap-8428	129	9	c1	c1	PROPN
ap-8428	129	10	−	−	PROPN
ap-8428	129	11	s	s	PART
ap-8428	129	12	1	1	NUM
ap-8428	129	13	rc1c2	rc1c2	PROPN
ap-8428	129	14	+	+	NOUN
ap-8428	129	15	1	1	NUM
ap-8428	129	16	c1c2l2	c1c2l2	ADJ
ap-8428	129	17	c33	c33	NOUN
ap-8428	129	18	s3	s3	PROPN
ap-8428	129	19	+	+	CCONJ
ap-8428	129	20	s2	s2	PROPN
ap-8428	129	21	(	(	PUNCT
ap-8428	129	22	1	1	NUM
ap-8428	129	23	rc2	rc2	PROPN
ap-8428	129	24	)	)	PUNCT
ap-8428	130	1	+	+	CCONJ
ap-8428	130	2	s	s	X
ap-8428	130	3	1	1	NUM
ap-8428	130	4	l2c2	l2c2	NOUN
ap-8428	130	5	c14	c14	NOUN
ap-8428	131	1	−	−	PROPN
ap-8428	131	2	d	d	NOUN
ap-8428	131	3	′	′	NUM
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ap-8428	134	15	1	1	NUM
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ap-8428	136	2	1	1	NUM
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ap-8428	136	4	+	+	CCONJ
ap-8428	136	5	1	1	NUM
ap-8428	136	6	rc1c2l1	rc1c2l1	NUM
ap-8428	136	7	c42	c42	NOUN
ap-8428	136	8	−s2	−s2	PROPN
ap-8428	136	9	1	1	NUM
ap-8428	136	10	l2	l2	NOUN
ap-8428	136	11	−	−	ADP
ap-8428	136	12	1	1	NUM
ap-8428	136	13	c1l1l2	c1l1l2	PROPN
ap-8428	136	14	c23	c23	PROPN
ap-8428	136	15	s2d	s2d	PROPN
ap-8428	136	16	′	′	PROPN
ap-8428	136	17	c1	c1	PROPN
ap-8428	136	18	+	+	CCONJ
ap-8428	136	19	s	s	X
ap-8428	136	20	d	d	NOUN
ap-8428	136	21	′	′	NUM
ap-8428	136	22	rc1c2	rc1c2	PROPN
ap-8428	136	23	c43	c43	X
ap-8428	136	24	−s	−s	PROPN
ap-8428	137	1	d	d	PROPN
ap-8428	137	2	′	′	NUM
ap-8428	137	3	c1l2	c1l2	PROPN
ap-8428	137	4	c24	c24	NOUN
ap-8428	137	5	s2	s2	NOUN
ap-8428	137	6	1	1	NUM
ap-8428	137	7	c2	c2	PROPN
ap-8428	137	8	+	+	CCONJ
ap-8428	137	9	1	1	NUM
ap-8428	137	10	c1c2l1	c1c2l1	NOUN
ap-8428	137	11	c44	c44	NOUN
ap-8428	137	12	s3	s3	PROPN
ap-8428	137	13	+	+	CCONJ
ap-8428	137	14	s	s	X
ap-8428	137	15	d	d	X
ap-8428	137	16	′2	′2	X
ap-8428	138	1	l2c1	l2c1	NOUN
ap-8428	139	1	+	+	CCONJ
ap-8428	139	2	s	s	NOUN
ap-8428	139	3	1	1	NUM
ap-8428	139	4	c1l1	c1l1	NOUN
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ap-8428	140	1	(	(	PUNCT
ap-8428	140	2	co	co	NOUN
ap-8428	140	3	-	-	NOUN
ap-8428	140	4	factors	factor	NOUN
ap-8428	140	5	of	of	ADP
ap-8428	140	6	(	(	PUNCT
ap-8428	140	7	si	si	PROPN
ap-8428	140	8	−a))t	−a))t	NOUN
ap-8428	140	9	.	.	PUNCT
ap-8428	141	1	determinant	determinant	ADJ
ap-8428	141	2	of	of	ADP
ap-8428	141	3	(	(	PUNCT
ap-8428	141	4	si	si	NOUN
ap-8428	141	5	−a	−a	NOUN
ap-8428	141	6	)	)	PUNCT
ap-8428	141	7	is	be	AUX
ap-8428	141	8	s	s	PROPN
ap-8428	141	9			NOUN
ap-8428	141	10	s	s	PART
ap-8428	141	11	−d′	−d′	ADJ
ap-8428	141	12	/l2	/l2	NOUN
ap-8428	141	13	1	1	NUM
ap-8428	141	14	/	/	SYM
ap-8428	141	15	l2	l2	NOUN
ap-8428	141	16	d	d	NOUN
ap-8428	141	17	′	′	NUM
ap-8428	141	18	/c1	/c1	NOUN
ap-8428	142	1	s	s	NOUN
ap-8428	142	2	0	0	NUM
ap-8428	142	3	−1	−1	NOUN
ap-8428	142	4	/	/	SYM
ap-8428	142	5	c2	c2	PROPN
ap-8428	142	6	0	0	NUM
ap-8428	142	7	s+	s+	PUNCT
ap-8428	142	8	1	1	NUM
ap-8428	142	9	/	/	SYM
ap-8428	142	10	rc2	rc2	PROPN
ap-8428	142	11	+	+	PROPN
ap-8428	142	12	0	0	NUM
ap-8428	142	13			NOUN
ap-8428	142	14	0	0	PUNCT
ap-8428	143	1	d	d	NOUN
ap-8428	143	2	′	′	NUM
ap-8428	144	1	/l2	/l2	NOUN
ap-8428	144	2	1	1	NUM
ap-8428	144	3	/	/	SYM
ap-8428	144	4	l2	l2	NOUN
ap-8428	144	5	−1	−1	NOUN
ap-8428	144	6	/	/	SYM
ap-8428	144	7	c1	c1	PROPN
ap-8428	144	8	s	s	PART
ap-8428	144	9	0	0	NUM
ap-8428	144	10	0	0	NUM
ap-8428	144	11	0	0	NUM
ap-8428	144	12	s+	s+	PUNCT
ap-8428	144	13	1	1	NUM
ap-8428	144	14	/	/	SYM
ap-8428	144	15	rc2	rc2	PROPN
ap-8428	144	16			NOUN
ap-8428	144	17	+1	+1	PROPN
ap-8428	144	18	/	/	SYM
ap-8428	144	19	l1	l1	PROPN
ap-8428	144	20			PROPN
ap-8428	144	21	0	0	NUM
ap-8428	144	22	s	s	NOUN
ap-8428	144	23	1	1	NUM
ap-8428	144	24	/	/	SYM
ap-8428	144	25	l2	l2	NOUN
ap-8428	144	26	−1	−1	NOUN
ap-8428	144	27	/	/	SYM
ap-8428	144	28	c1	c1	PROPN
ap-8428	145	1	d	d	NOUN
ap-8428	145	2	′	′	NUM
ap-8428	146	1	/c1	/c1	NOUN
ap-8428	146	2	0	0	NUM
ap-8428	146	3	0	0	NUM
ap-8428	146	4	−1	−1	SYM
ap-8428	146	5	/	/	SYM
ap-8428	146	6	c2	c2	PROPN
ap-8428	146	7	s+	s+	PUNCT
ap-8428	146	8	1	1	NUM
ap-8428	146	9	/	/	SYM
ap-8428	146	10	rc2	rc2	PROPN
ap-8428	146	11	+	+	PROPN
ap-8428	146	12	0	0	NUM
ap-8428	146	13			NOUN
ap-8428	146	14	0	0	NUM
ap-8428	146	15	s	s	NOUN
ap-8428	147	1	d	d	NOUN
ap-8428	147	2	′	′	NUM
ap-8428	147	3	/l2	/l2	NOUN
ap-8428	147	4	−1	−1	NOUN
ap-8428	147	5	/	/	SYM
ap-8428	147	6	c1	c1	PROPN
ap-8428	148	1	d	d	NOUN
ap-8428	149	1	′	′	NUM
ap-8428	149	2	/c1	/c1	NOUN
ap-8428	150	1	s	s	NOUN
ap-8428	150	2	0	0	NUM
ap-8428	150	3	−1	−1	NOUN
ap-8428	150	4	/	/	SYM
ap-8428	150	5	c2	c2	PROPN
ap-8428	150	6	0	0	NUM
ap-8428	150	7			NOUN
ap-8428	150	8	.	.	PUNCT
ap-8428	151	1	this	this	PRON
ap-8428	151	2	yields	yield	VERB
ap-8428	151	3	the	the	DET
ap-8428	151	4	determinant	determinant	NOUN
ap-8428	151	5	of	of	ADP
ap-8428	151	6	(	(	PUNCT
ap-8428	151	7	si	si	NOUN
ap-8428	151	8	−a	−a	NOUN
ap-8428	151	9	)	)	PUNCT
ap-8428	151	10	as	as	ADP
ap-8428	151	11	,	,	PUNCT
ap-8428	151	12	1	1	NUM
ap-8428	151	13	+	+	SYM
ap-8428	151	14	s	s	AUX
ap-8428	151	15	(	(	PUNCT
ap-8428	151	16	l2	l2	NOUN
ap-8428	151	17	+	+	NOUN
ap-8428	151	18	d	d	NOUN
ap-8428	151	19	′2l1	′2l1	NOUN
ap-8428	151	20	r	r	NOUN
ap-8428	151	21	)	)	PUNCT
ap-8428	152	1	+	+	CCONJ
ap-8428	152	2	s2[l2c2	s2[l2c2	PROPN
ap-8428	152	3	+	+	PUNCT
ap-8428	152	4	l1c1	l1c1	NOUN
ap-8428	152	5	+	+	CCONJ
ap-8428	152	6	l1c2d	l1c2d	X
ap-8428	152	7	′2	′2	NOUN
ap-8428	152	8	]	]	X
ap-8428	152	9	+	+	CCONJ
ap-8428	152	10	s3	s3	PROPN
ap-8428	152	11	(	(	PUNCT
ap-8428	152	12	l1l2c1	l1l2c1	ADJ
ap-8428	152	13	r	r	NOUN
ap-8428	152	14	)	)	PUNCT
ap-8428	152	15	+	+	CCONJ
ap-8428	152	16	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	152	17	)	)	PUNCT
ap-8428	152	18	(	(	PUNCT
ap-8428	152	19	19	19	NUM
ap-8428	152	20	)	)	PUNCT
ap-8428	152	21	substituting	substitute	VERB
ap-8428	152	22	equations	equation	NOUN
ap-8428	152	23	(	(	PUNCT
ap-8428	152	24	18	18	NUM
ap-8428	152	25	)	)	PUNCT
ap-8428	152	26	and	and	CCONJ
ap-8428	152	27	(	(	PUNCT
ap-8428	152	28	19	19	NUM
ap-8428	152	29	)	)	PUNCT
ap-8428	152	30	in	in	ADP
ap-8428	152	31	(	(	PUNCT
ap-8428	152	32	15	15	NUM
ap-8428	152	33	)	)	PUNCT
ap-8428	152	34	,	,	PUNCT
ap-8428	152	35	[	[	X
ap-8428	152	36	si	si	X
ap-8428	152	37	−a]−1	−a]−1	PROPN
ap-8428	152	38	=	=	SYM
ap-8428	152	39			NOUN
ap-8428	152	40	c11	c11	NOUN
ap-8428	152	41	c21	c21	PROPN
ap-8428	152	42	c31	c31	PROPN
ap-8428	152	43	c41	c41	PROPN
ap-8428	152	44	c12	c12	PROPN
ap-8428	152	45	c22	c22	PROPN
ap-8428	152	46	c32	c32	PROPN
ap-8428	152	47	c42	c42	PROPN
ap-8428	152	48	c13	c13	PROPN
ap-8428	152	49	c23	c23	PROPN
ap-8428	152	50	c33	c33	PROPN
ap-8428	152	51	c43	c43	PROPN
ap-8428	152	52	c14	c14	PROPN
ap-8428	152	53	c24	c24	PROPN
ap-8428	152	54	c34	c34	VERB
ap-8428	152	55	c44	c44	NOUN
ap-8428	152	56			ADJ
ap-8428	152	57	1	1	NUM
ap-8428	152	58	+	+	SYM
ap-8428	152	59	s	s	X
ap-8428	152	60	(	(	PUNCT
ap-8428	152	61	l2+d′2l1	l2+d′2l1	NOUN
ap-8428	152	62	r	r	NOUN
ap-8428	152	63	)	)	PUNCT
ap-8428	153	1	+	+	CCONJ
ap-8428	153	2	s2[l2c2	s2[l2c2	PROPN
ap-8428	153	3	+	+	PUNCT
ap-8428	153	4	l1c1	l1c1	NOUN
ap-8428	153	5	+	+	CCONJ
ap-8428	153	6	l1c2d	l1c2d	X
ap-8428	153	7	′2	′2	NOUN
ap-8428	153	8	]	]	X
ap-8428	153	9	+	+	CCONJ
ap-8428	153	10	s3	s3	PROPN
ap-8428	153	11	(	(	PUNCT
ap-8428	153	12	l1l2c1	l1l2c1	ADJ
ap-8428	153	13	r	r	NOUN
ap-8428	153	14	)	)	PUNCT
ap-8428	153	15	+	+	CCONJ
ap-8428	153	16	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	153	17	)	)	PUNCT
ap-8428	153	18	(	(	PUNCT
ap-8428	153	19	20	20	NUM
ap-8428	153	20	)	)	PUNCT
ap-8428	153	21	and	and	CCONJ
ap-8428	153	22	bd	bd	PROPN
ap-8428	153	23	=	=	NOUN
ap-8428	153	24			NOUN
ap-8428	153	25	−v1	−v1	NOUN
ap-8428	153	26	/	/	SYM
ap-8428	153	27	d	d	PROPN
ap-8428	153	28	′	′	NUM
ap-8428	153	29	l1	l1	PROPN
ap-8428	153	30	v1	v1	PROPN
ap-8428	153	31	/	/	SYM
ap-8428	154	1	d	d	NOUN
ap-8428	154	2	′	′	NOUN
ap-8428	154	3	l2	l2	NOUN
ap-8428	154	4	−dv1/2rc1	−dv1/2rc1	NOUN
ap-8428	154	5	0	0	NUM
ap-8428	154	6			NOUN
ap-8428	154	7	.	.	PUNCT
ap-8428	155	1	55	55	NUM
ap-8428	155	2	sangeeta	sangeeta	PROPN
ap-8428	155	3	shete	shete	PROPN
ap-8428	155	4	,	,	PUNCT
ap-8428	155	5	prasad	prasad	PROPN
ap-8428	155	6	joshi	joshi	PROPN
ap-8428	155	7	acta	acta	PROPN
ap-8428	155	8	polytechnica	polytechnica	PROPN
ap-8428	155	9	thus	thus	ADV
ap-8428	155	10	,	,	PUNCT
ap-8428	155	11	from	from	ADP
ap-8428	155	12	equation	equation	NOUN
ap-8428	155	13	(	(	PUNCT
ap-8428	155	14	14	14	NUM
ap-8428	155	15	)	)	PUNCT
ap-8428	155	16	,	,	PUNCT
ap-8428	155	17	the	the	DET
ap-8428	155	18	equation	equation	NOUN
ap-8428	155	19	of	of	ADP
ap-8428	155	20	laplace	laplace	NOUN
ap-8428	155	21	transform	transform	NOUN
ap-8428	155	22	of	of	ADP
ap-8428	155	23	complex	complex	ADJ
ap-8428	155	24	cbc	cbc	NOUN
ap-8428	155	25	becomes	become	VERB
ap-8428	155	26	,	,	PUNCT
ap-8428	155	27	x̂(s	x̂(s	PRON
ap-8428	155	28	)	)	PUNCT
ap-8428	155	29	=	=	SYM
ap-8428	156	1	(	(	PUNCT
ap-8428	156	2	21)	21)	NUM
ap-8428	156	3			NOUN
ap-8428	156	4			NOUN
ap-8428	156	5	c11	c11	NOUN
ap-8428	156	6	c21	c21	PROPN
ap-8428	156	7	c31	c31	PROPN
ap-8428	156	8	c41	c41	PROPN
ap-8428	156	9	c12	c12	PROPN
ap-8428	156	10	c22	c22	PROPN
ap-8428	156	11	c32	c32	PROPN
ap-8428	156	12	c42	c42	PROPN
ap-8428	156	13	c13	c13	PROPN
ap-8428	156	14	c23	c23	PROPN
ap-8428	156	15	c33	c33	PROPN
ap-8428	156	16	c43	c43	PROPN
ap-8428	156	17	c14	c14	PROPN
ap-8428	156	18	c24	c24	PROPN
ap-8428	156	19	c34	c34	VERB
ap-8428	156	20	c44	c44	NOUN
ap-8428	156	21			ADJ
ap-8428	156	22	1	1	NUM
ap-8428	156	23	+	+	SYM
ap-8428	156	24	s	s	X
ap-8428	156	25	(	(	PUNCT
ap-8428	156	26	l2+d′2l1	l2+d′2l1	NOUN
ap-8428	156	27	r	r	NOUN
ap-8428	156	28	)	)	PUNCT
ap-8428	157	1	+	+	CCONJ
ap-8428	157	2	s2[l2c2	s2[l2c2	PROPN
ap-8428	157	3	+	+	PUNCT
ap-8428	157	4	l1c1	l1c1	NOUN
ap-8428	157	5	+	+	CCONJ
ap-8428	157	6	l1c2d	l1c2d	X
ap-8428	157	7	′2	′2	NOUN
ap-8428	157	8	]	]	X
ap-8428	157	9	+	+	CCONJ
ap-8428	157	10	s3	s3	PROPN
ap-8428	157	11	(	(	PUNCT
ap-8428	157	12	l1l2c1	l1l2c1	ADJ
ap-8428	157	13	r	r	NOUN
ap-8428	157	14	)	)	PUNCT
ap-8428	157	15	+	+	CCONJ
ap-8428	157	16	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	157	17	)	)	PUNCT
ap-8428	158	1			NOUN
ap-8428	158	2			NOUN
ap-8428	159	1	−v1	−v1	NOUN
ap-8428	159	2	/	/	SYM
ap-8428	159	3	d	d	PROPN
ap-8428	159	4	′	′	NUM
ap-8428	159	5	l1	l1	PROPN
ap-8428	159	6	v1	v1	PROPN
ap-8428	159	7	/	/	SYM
ap-8428	160	1	d	d	NOUN
ap-8428	160	2	′	′	NOUN
ap-8428	160	3	l2	l2	NOUN
ap-8428	160	4	−dv1/2rc1	−dv1/2rc1	PRON
ap-8428	160	5	0	0	NUM
ap-8428	160	6			PROPN
ap-8428	160	7			NOUN
ap-8428	160	8	d̂(s	d̂(	NOUN
ap-8428	160	9	)	)	PUNCT
ap-8428	160	10	.	.	PUNCT
ap-8428	161	1	the	the	DET
ap-8428	161	2	general	general	ADJ
ap-8428	161	3	equation	equation	NOUN
ap-8428	161	4	of	of	ADP
ap-8428	161	5	laplace	laplace	NOUN
ap-8428	161	6	transform	transform	NOUN
ap-8428	161	7	of	of	ADP
ap-8428	161	8	the	the	DET
ap-8428	161	9	output	output	NOUN
ap-8428	161	10	at	at	ADP
ap-8428	161	11	a	a	DET
ap-8428	161	12	steady	steady	ADJ
ap-8428	161	13	state	state	NOUN
ap-8428	161	14	is	be	AUX
ap-8428	161	15	given	give	VERB
ap-8428	161	16	by	by	ADP
ap-8428	161	17	,	,	PUNCT
ap-8428	161	18	ŷ	ŷ	NUM
ap-8428	161	19	=	=	SYM
ap-8428	161	20	cx̂(s	cx̂(s	X
ap-8428	161	21	)	)	PUNCT
ap-8428	161	22	+	+	CCONJ
ap-8428	162	1	[	[	X
ap-8428	162	2	(	(	PUNCT
ap-8428	162	3	c1	c1	PROPN
ap-8428	162	4	−	−	PROPN
ap-8428	162	5	c2)x(s)]d̂(s	c2)x(s)]d̂(s	PROPN
ap-8428	162	6	)	)	PUNCT
ap-8428	162	7	.	.	PUNCT
ap-8428	163	1	from	from	ADP
ap-8428	163	2	equation	equation	NOUN
ap-8428	163	3	(	(	PUNCT
ap-8428	163	4	7	7	NUM
ap-8428	163	5	)	)	PUNCT
ap-8428	163	6	and	and	CCONJ
ap-8428	163	7	(	(	PUNCT
ap-8428	163	8	9	9	NUM
ap-8428	163	9	)	)	PUNCT
ap-8428	163	10	,	,	PUNCT
ap-8428	163	11	c1	c1	PROPN
ap-8428	163	12	=	=	PROPN
ap-8428	163	13	c2	c2	PROPN
ap-8428	163	14	.	.	PUNCT
ap-8428	164	1	thus	thus	ADV
ap-8428	164	2	,	,	PUNCT
ap-8428	164	3	ŷ	ŷ	X
ap-8428	164	4	=	=	SYM
ap-8428	164	5	cx̂(s)d̂(s	cx̂(s)d̂(s	X
ap-8428	164	6	)	)	PUNCT
ap-8428	164	7	.	.	PUNCT
ap-8428	165	1	hence	hence	ADV
ap-8428	165	2	for	for	ADP
ap-8428	165	3	complex	complex	ADJ
ap-8428	165	4	cbc	cbc	NOUN
ap-8428	165	5	,	,	PUNCT
ap-8428	165	6	v̂2(s	v̂2(s	NOUN
ap-8428	165	7	)	)	PUNCT
ap-8428	165	8	=	=	PUNCT
ap-8428	165	9	(	(	PUNCT
ap-8428	165	10	22	22	NUM
ap-8428	165	11	)	)	PUNCT
ap-8428	165	12	[	[	PUNCT
ap-8428	165	13	0	0	NUM
ap-8428	165	14	0	0	NUM
ap-8428	165	15	0	0	NUM
ap-8428	165	16	1	1	NUM
ap-8428	165	17	]	]	PUNCT
ap-8428	165	18			X
ap-8428	165	19			PROPN
ap-8428	165	20	c11	c11	ADJ
ap-8428	165	21	c21	c21	PROPN
ap-8428	165	22	c31	c31	PROPN
ap-8428	165	23	c41	c41	PROPN
ap-8428	165	24	c12	c12	PROPN
ap-8428	165	25	c22	c22	PROPN
ap-8428	165	26	c32	c32	PROPN
ap-8428	165	27	c42	c42	PROPN
ap-8428	165	28	c13	c13	PROPN
ap-8428	165	29	c23	c23	PROPN
ap-8428	165	30	c33	c33	PROPN
ap-8428	165	31	c43	c43	PROPN
ap-8428	165	32	c14	c14	PROPN
ap-8428	165	33	c24	c24	PROPN
ap-8428	165	34	c34	c34	NOUN
ap-8428	165	35	c44	c44	NOUN
ap-8428	165	36			NOUN
ap-8428	165	37	1	1	NUM
ap-8428	165	38	+	+	SYM
ap-8428	165	39	s	s	X
ap-8428	165	40	(	(	PUNCT
ap-8428	165	41	l2+d	l2+d	NOUN
ap-8428	165	42	′2l1	′2l1	NOUN
ap-8428	165	43	r	r	NOUN
ap-8428	165	44	)	)	PUNCT
ap-8428	165	45	+	+	CCONJ
ap-8428	165	46	s2[l2c2	s2[l2c2	PROPN
ap-8428	165	47	+	+	PUNCT
ap-8428	165	48	l1c1	l1c1	NOUN
ap-8428	165	49	+	+	X
ap-8428	165	50	l1c2d′2	l1c2d′2	NOUN
ap-8428	165	51	]	]	X
ap-8428	165	52	+	+	CCONJ
ap-8428	165	53	s3	s3	PROPN
ap-8428	165	54	(	(	PUNCT
ap-8428	165	55	l1l2c1	l1l2c1	ADJ
ap-8428	165	56	r	r	NOUN
ap-8428	165	57	)	)	PUNCT
ap-8428	165	58	+	+	CCONJ
ap-8428	165	59	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	165	60	)	)	PUNCT
ap-8428	165	61			VERB
ap-8428	165	62			NUM
ap-8428	165	63	−v1	−v1	NOUN
ap-8428	165	64	/	/	SYM
ap-8428	165	65	d	d	PROPN
ap-8428	165	66	′	′	NUM
ap-8428	165	67	l1	l1	PROPN
ap-8428	165	68	v1	v1	PROPN
ap-8428	165	69	/	/	SYM
ap-8428	165	70	d	d	NOUN
ap-8428	165	71	′	′	NOUN
ap-8428	165	72	l2	l2	NOUN
ap-8428	165	73	−dv1/2rc1	−dv1/2rc1	PRON
ap-8428	165	74	0	0	PUNCT
ap-8428	165	75			NUM
ap-8428	165	76			NOUN
ap-8428	165	77	d̂(s	d̂(	NOUN
ap-8428	165	78	)	)	PUNCT
ap-8428	165	79	.	.	PUNCT
ap-8428	166	1	solving	solve	VERB
ap-8428	166	2	equation	equation	NOUN
ap-8428	166	3	(	(	PUNCT
ap-8428	166	4	23	23	NUM
ap-8428	166	5	)	)	PUNCT
ap-8428	166	6	,	,	PUNCT
ap-8428	166	7	control	control	NOUN
ap-8428	166	8	to	to	ADP
ap-8428	166	9	output	output	NOUN
ap-8428	166	10	transfer	transfer	NOUN
ap-8428	166	11	function	function	NOUN
ap-8428	166	12	of	of	ADP
ap-8428	166	13	complex	complex	ADJ
ap-8428	166	14	cbc	cbc	NOUN
ap-8428	166	15	is	be	AUX
ap-8428	166	16	,	,	PUNCT
ap-8428	166	17	v̂2(s	v̂2(s	NOUN
ap-8428	166	18	)	)	PUNCT
ap-8428	166	19	d̂(s	d̂(s	NOUN
ap-8428	166	20	)	)	PUNCT
ap-8428	166	21	=	=	SYM
ap-8428	167	1	(	(	PUNCT
ap-8428	167	2	1	1	NUM
ap-8428	167	3	+	+	NUM
ap-8428	167	4	sl1	sl1	PROPN
ap-8428	167	5	(	(	PUNCT
ap-8428	167	6	dd	dd	VERB
ap-8428	167	7	′	′	NUM
ap-8428	167	8	2r	2r	NUM
ap-8428	167	9	)	)	PUNCT
ap-8428	168	1	+	+	CCONJ
ap-8428	168	2	s2l1c1	s2l1c1	NOUN
ap-8428	168	3	(	(	PUNCT
ap-8428	168	4	1+d	1+d	NUM
ap-8428	168	5	2d	2d	NOUN
ap-8428	168	6	)	)	PUNCT
ap-8428	168	7	)	)	PUNCT
ap-8428	168	8	1	1	NUM
ap-8428	169	1	+	+	SYM
ap-8428	169	2	s	s	X
ap-8428	169	3	(	(	PUNCT
ap-8428	169	4	l2+d′2l1	l2+d′2l1	NOUN
ap-8428	169	5	r	r	NOUN
ap-8428	169	6	)	)	PUNCT
ap-8428	170	1	+	+	CCONJ
ap-8428	170	2	s2[l2c2	s2[l2c2	PROPN
ap-8428	170	3	+	+	PUNCT
ap-8428	170	4	l1c1	l1c1	NOUN
ap-8428	170	5	+	+	CCONJ
ap-8428	170	6	l1c2d	l1c2d	X
ap-8428	170	7	′2	′2	NOUN
ap-8428	170	8	]	]	X
ap-8428	170	9	+	+	CCONJ
ap-8428	170	10	s3	s3	PROPN
ap-8428	170	11	(	(	PUNCT
ap-8428	170	12	l1l2c1	l1l2c1	ADJ
ap-8428	170	13	r	r	NOUN
ap-8428	170	14	)	)	PUNCT
ap-8428	170	15	+	+	CCONJ
ap-8428	170	16	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	170	17	)	)	PUNCT
ap-8428	170	18	.	.	PUNCT
ap-8428	171	1	(	(	PUNCT
ap-8428	171	2	23	23	NUM
ap-8428	171	3	)	)	PUNCT
ap-8428	171	4	it	it	PRON
ap-8428	171	5	is	be	AUX
ap-8428	171	6	realised	realise	VERB
ap-8428	171	7	that	that	SCONJ
ap-8428	171	8	the	the	DET
ap-8428	171	9	calculation	calculation	NOUN
ap-8428	171	10	of	of	ADP
ap-8428	171	11	matrix	matrix	NOUN
ap-8428	171	12	(	(	PUNCT
ap-8428	171	13	si	si	NOUN
ap-8428	171	14	−	−	PROPN
ap-8428	171	15	a)−1	a)−1	NOUN
ap-8428	171	16	becomes	become	VERB
ap-8428	171	17	complicated	complicated	ADJ
ap-8428	171	18	for	for	ADP
ap-8428	171	19	any	any	DET
ap-8428	171	20	high	high	ADJ
ap-8428	171	21	order	order	NOUN
ap-8428	171	22	circuits	circuit	NOUN
ap-8428	171	23	,	,	PUNCT
ap-8428	171	24	which	which	PRON
ap-8428	171	25	is	be	AUX
ap-8428	171	26	in	in	ADP
ap-8428	171	27	agreement	agreement	NOUN
ap-8428	171	28	with	with	ADP
ap-8428	171	29	what	what	PRON
ap-8428	171	30	is	be	AUX
ap-8428	171	31	stated	state	VERB
ap-8428	171	32	in	in	ADP
ap-8428	171	33	[	[	X
ap-8428	171	34	27	27	NUM
ap-8428	171	35	]	]	PUNCT
ap-8428	171	36	.	.	PUNCT
ap-8428	172	1	2.3	2.3	NUM
ap-8428	172	2	.	.	PUNCT
ap-8428	173	1	pwm	pwm	NOUN
ap-8428	173	2	switch	switch	NOUN
ap-8428	173	3	with	with	ADP
ap-8428	173	4	eet	eet	NOUN
ap-8428	173	5	technique	technique	NOUN
ap-8428	173	6	the	the	DET
ap-8428	173	7	main	main	ADJ
ap-8428	173	8	principle	principle	NOUN
ap-8428	173	9	of	of	ADP
ap-8428	173	10	the	the	DET
ap-8428	173	11	pwm	pwm	NOUN
ap-8428	173	12	switch	switch	NOUN
ap-8428	173	13	modelling	modelling	NOUN
ap-8428	173	14	technique	technique	NOUN
ap-8428	173	15	is	be	AUX
ap-8428	173	16	the	the	DET
ap-8428	173	17	elimination	elimination	NOUN
ap-8428	173	18	of	of	ADP
ap-8428	173	19	active	active	ADJ
ap-8428	173	20	and	and	CCONJ
ap-8428	173	21	passive	passive	ADJ
ap-8428	173	22	switches	switch	NOUN
ap-8428	173	23	by	by	ADP
ap-8428	173	24	their	their	PRON
ap-8428	173	25	time	time	NOUN
ap-8428	173	26	-	-	PUNCT
ap-8428	173	27	averaged	average	VERB
ap-8428	173	28	models	model	NOUN
ap-8428	173	29	and	and	CCONJ
ap-8428	173	30	obtain	obtain	VERB
ap-8428	173	31	the	the	DET
ap-8428	173	32	averaged	average	VERB
ap-8428	173	33	circuit	circuit	NOUN
ap-8428	173	34	model	model	NOUN
ap-8428	173	35	for	for	ADP
ap-8428	173	36	a	a	DET
ap-8428	173	37	switched	switch	VERB
ap-8428	173	38	network	network	NOUN
ap-8428	173	39	,	,	PUNCT
ap-8428	173	40	which	which	PRON
ap-8428	173	41	is	be	AUX
ap-8428	173	42	further	far	ADV
ap-8428	173	43	inserted	insert	VERB
ap-8428	173	44	into	into	ADP
ap-8428	173	45	the	the	DET
ap-8428	173	46	converter	converter	NOUN
ap-8428	173	47	circuit	circuit	NOUN
ap-8428	173	48	.	.	PUNCT
ap-8428	174	1	the	the	DET
ap-8428	174	2	final	final	ADJ
ap-8428	174	3	model	model	NOUN
ap-8428	174	4	is	be	AUX
ap-8428	174	5	a	a	DET
ap-8428	174	6	time	time	NOUN
ap-8428	174	7	-	-	PUNCT
ap-8428	174	8	averaged	average	VERB
ap-8428	174	9	equivalent	equivalent	ADJ
ap-8428	174	10	circuit	circuit	NOUN
ap-8428	174	11	model	model	NOUN
ap-8428	174	12	,	,	PUNCT
ap-8428	174	13	where	where	SCONJ
ap-8428	174	14	all	all	DET
ap-8428	174	15	branch	branch	NOUN
ap-8428	174	16	currents	current	NOUN
ap-8428	174	17	and	and	CCONJ
ap-8428	174	18	node	node	ADJ
ap-8428	174	19	voltages	voltage	NOUN
ap-8428	174	20	correspond	correspond	VERB
ap-8428	174	21	to	to	PART
ap-8428	174	22	averaged	average	VERB
ap-8428	174	23	values	value	NOUN
ap-8428	174	24	of	of	ADP
ap-8428	174	25	corresponding	correspond	VERB
ap-8428	174	26	original	original	ADJ
ap-8428	174	27	currents	current	NOUN
ap-8428	174	28	and	and	CCONJ
ap-8428	174	29	voltages	voltage	NOUN
ap-8428	174	30	.	.	PUNCT
ap-8428	175	1	replacement	replacement	NOUN
ap-8428	175	2	of	of	ADP
ap-8428	175	3	active	active	ADJ
ap-8428	175	4	and	and	CCONJ
ap-8428	175	5	passive	passive	ADJ
ap-8428	175	6	switches	switch	NOUN
ap-8428	175	7	from	from	ADP
ap-8428	175	8	the	the	DET
ap-8428	175	9	basic	basic	ADJ
ap-8428	175	10	switch	switch	NOUN
ap-8428	175	11	model	model	NOUN
ap-8428	175	12	(	(	PUNCT
ap-8428	175	13	figure	figure	NOUN
ap-8428	175	14	4	4	NUM
ap-8428	175	15	)	)	PUNCT
ap-8428	175	16	by	by	ADP
ap-8428	175	17	switching	switch	VERB
ap-8428	175	18	functions	function	NOUN
ap-8428	175	19	d	d	NOUN
ap-8428	175	20	and	and	CCONJ
ap-8428	175	21	d	d	NOUN
ap-8428	175	22	′	′	NUM
ap-8428	175	23	,	,	PUNCT
ap-8428	175	24	respectively	respectively	ADV
ap-8428	175	25	,	,	PUNCT
ap-8428	175	26	is	be	AUX
ap-8428	175	27	depicted	depict	VERB
ap-8428	175	28	in	in	ADP
ap-8428	175	29	figure	figure	NOUN
ap-8428	175	30	5	5	NUM
ap-8428	175	31	.	.	PUNCT
ap-8428	175	32	figure	figure	VERB
ap-8428	175	33	4	4	NUM
ap-8428	175	34	.	.	PUNCT
ap-8428	175	35	basic	basic	ADJ
ap-8428	175	36	circuit	circuit	NOUN
ap-8428	175	37	model	model	NOUN
ap-8428	175	38	of	of	ADP
ap-8428	175	39	switch	switch	NOUN
ap-8428	175	40	.	.	PUNCT
ap-8428	176	1	figure	figure	NOUN
ap-8428	176	2	5	5	NUM
ap-8428	176	3	.	.	PUNCT
ap-8428	177	1	replacement	replacement	NOUN
ap-8428	177	2	of	of	ADP
ap-8428	177	3	switches	switch	NOUN
ap-8428	177	4	.	.	PUNCT
ap-8428	178	1	the	the	DET
ap-8428	178	2	invariant	invariant	ADJ
ap-8428	178	3	average	average	ADJ
ap-8428	178	4	equations	equation	NOUN
ap-8428	178	5	for	for	ADP
ap-8428	178	6	figure	figure	NOUN
ap-8428	178	7	5	5	NUM
ap-8428	178	8	are	be	AUX
ap-8428	178	9	,	,	PUNCT
ap-8428	178	10	i1	i1	PROPN
ap-8428	178	11	=	=	PUNCT
ap-8428	178	12	di2	di2	PROPN
ap-8428	178	13	v23	v23	PROPN
ap-8428	178	14	=	=	SYM
ap-8428	178	15	dv13	dv13	PROPN
ap-8428	178	16	}	}	PUNCT
ap-8428	178	17	(	(	PUNCT
ap-8428	178	18	24	24	NUM
ap-8428	178	19	)	)	PUNCT
ap-8428	178	20	56	56	NUM
ap-8428	178	21	vol	vol	NOUN
ap-8428	178	22	.	.	PUNCT
ap-8428	179	1	63	63	NUM
ap-8428	179	2	no	no	NOUN
ap-8428	179	3	.	.	PUNCT
ap-8428	180	1	1/2023	1/2023	NUM
ap-8428	180	2	comparative	comparative	ADJ
ap-8428	180	3	study	study	NOUN
ap-8428	180	4	of	of	ADP
ap-8428	180	5	state	state	NOUN
ap-8428	180	6	space	space	NOUN
ap-8428	180	7	averaging	averaging	NOUN
ap-8428	180	8	and	and	CCONJ
ap-8428	180	9	pwm	pwm	NOUN
ap-8428	180	10	.	.	PUNCT
ap-8428	180	11	.	.	PUNCT
ap-8428	180	12	.	.	PUNCT
ap-8428	181	1	adding	add	VERB
ap-8428	181	2	a	a	DET
ap-8428	181	3	small	small	ADJ
ap-8428	181	4	deviation	deviation	NOUN
ap-8428	181	5	in	in	ADP
ap-8428	181	6	duty	duty	NOUN
ap-8428	181	7	ratio	ratio	NOUN
ap-8428	181	8	function	function	NOUN
ap-8428	181	9	d	d	NOUN
ap-8428	181	10	and	and	CCONJ
ap-8428	181	11	then	then	ADV
ap-8428	181	12	differentiating	differentiate	VERB
ap-8428	181	13	equation	equation	NOUN
ap-8428	181	14	(	(	PUNCT
ap-8428	181	15	24	24	NUM
ap-8428	181	16	)	)	PUNCT
ap-8428	181	17	,	,	PUNCT
ap-8428	181	18	ı̂1	ı̂1	NOUN
ap-8428	182	1	=	=	SYM
ap-8428	182	2	dı̂2	dı̂2	PROPN
ap-8428	183	1	+	+	CCONJ
ap-8428	183	2	i2d̂	i2d̂	PROPN
ap-8428	183	3	v̂23	v̂23	PROPN
ap-8428	183	4	=	=	NOUN
ap-8428	183	5	dv̂13	dv̂13	NOUN
ap-8428	183	6	+	+	CCONJ
ap-8428	183	7	v13d̂	v13d̂	PROPN
ap-8428	183	8	}	}	PUNCT
ap-8428	183	9	,	,	PUNCT
ap-8428	183	10	(	(	PUNCT
ap-8428	183	11	25	25	NUM
ap-8428	183	12	)	)	PUNCT
ap-8428	183	13	where	where	SCONJ
ap-8428	183	14	,	,	PUNCT
ap-8428	183	15	d	d	PROPN
ap-8428	183	16	,	,	PUNCT
ap-8428	183	17	i2	i2	PROPN
ap-8428	183	18	and	and	CCONJ
ap-8428	183	19	v13	v13	NOUN
ap-8428	183	20	are	be	AUX
ap-8428	183	21	the	the	DET
ap-8428	183	22	steady	steady	ADJ
ap-8428	183	23	state	state	NOUN
ap-8428	183	24	operating	operating	NOUN
ap-8428	183	25	points	point	NOUN
ap-8428	183	26	of	of	ADP
ap-8428	183	27	pwm	pwm	NOUN
ap-8428	183	28	switch	switch	NOUN
ap-8428	183	29	.	.	PUNCT
ap-8428	184	1	the	the	DET
ap-8428	184	2	pwm	pwm	NOUN
ap-8428	184	3	switch	switch	NOUN
ap-8428	184	4	model	model	NOUN
ap-8428	184	5	from	from	ADP
ap-8428	184	6	invariant	invariant	ADJ
ap-8428	184	7	average	average	ADJ
ap-8428	184	8	equations	equation	NOUN
ap-8428	184	9	(	(	PUNCT
ap-8428	184	10	24	24	NUM
ap-8428	184	11	)	)	PUNCT
ap-8428	184	12	is	be	AUX
ap-8428	184	13	obtained	obtain	VERB
ap-8428	184	14	as	as	SCONJ
ap-8428	184	15	depicted	depict	VERB
ap-8428	184	16	in	in	ADP
ap-8428	184	17	figure	figure	NOUN
ap-8428	184	18	6	6	NUM
ap-8428	184	19	.	.	PUNCT
ap-8428	185	1	also	also	ADV
ap-8428	185	2	,	,	PUNCT
ap-8428	185	3	using	use	VERB
ap-8428	185	4	equation	equation	NOUN
ap-8428	185	5	(	(	PUNCT
ap-8428	185	6	25	25	NUM
ap-8428	185	7	)	)	PUNCT
ap-8428	185	8	,	,	PUNCT
ap-8428	185	9	dependent	dependent	ADJ
ap-8428	185	10	sources	source	NOUN
ap-8428	185	11	dı̂2	dı̂2	VERB
ap-8428	185	12	and	and	CCONJ
ap-8428	185	13	dv̂23	dv̂23	NOUN
ap-8428	185	14	are	be	AUX
ap-8428	185	15	replaced	replace	VERB
ap-8428	185	16	with	with	ADP
ap-8428	185	17	1	1	NUM
ap-8428	185	18	:	:	SYM
ap-8428	185	19	d	d	NOUN
ap-8428	185	20	transformer	transformer	NOUN
ap-8428	185	21	and	and	CCONJ
ap-8428	185	22	moving	move	VERB
ap-8428	185	23	control	control	NOUN
ap-8428	185	24	source	source	NOUN
ap-8428	185	25	d̂v13	d̂v13	NOUN
ap-8428	185	26	from	from	ADP
ap-8428	185	27	common	common	ADJ
ap-8428	185	28	terminal	terminal	ADJ
ap-8428	185	29	side	side	NOUN
ap-8428	185	30	to	to	ADP
ap-8428	185	31	active	active	ADJ
ap-8428	185	32	terminal	terminal	ADJ
ap-8428	185	33	side	side	NOUN
ap-8428	185	34	,	,	PUNCT
ap-8428	185	35	and	and	CCONJ
ap-8428	185	36	the	the	DET
ap-8428	185	37	pwm	pwm	NOUN
ap-8428	185	38	switch	switch	NOUN
ap-8428	185	39	model	model	NOUN
ap-8428	185	40	is	be	AUX
ap-8428	185	41	obtained	obtain	VERB
ap-8428	185	42	as	as	ADP
ap-8428	185	43	in	in	ADP
ap-8428	185	44	figure	figure	NOUN
ap-8428	185	45	7	7	NUM
ap-8428	185	46	.	.	PUNCT
ap-8428	186	1	thus	thus	ADV
ap-8428	186	2	,	,	PUNCT
ap-8428	186	3	in	in	ADP
ap-8428	186	4	pwm	pwm	NOUN
ap-8428	186	5	switch	switch	NOUN
ap-8428	186	6	modelling	modelling	NOUN
ap-8428	186	7	with	with	ADP
ap-8428	186	8	eet	eet	NOUN
ap-8428	186	9	,	,	PUNCT
ap-8428	186	10	the	the	DET
ap-8428	186	11	switch	switch	NOUN
ap-8428	186	12	and	and	CCONJ
ap-8428	186	13	diode	diode	NOUN
ap-8428	186	14	are	be	AUX
ap-8428	186	15	replaced	replace	VERB
ap-8428	186	16	point	point	NOUN
ap-8428	186	17	by	by	ADP
ap-8428	186	18	point	point	NOUN
ap-8428	186	19	with	with	ADP
ap-8428	186	20	its	its	PRON
ap-8428	186	21	equivalent	equivalent	ADJ
ap-8428	186	22	circuit	circuit	NOUN
ap-8428	186	23	model	model	NOUN
ap-8428	186	24	and	and	CCONJ
ap-8428	186	25	further	far	ADV
ap-8428	186	26	eet	eet	X
ap-8428	186	27	is	be	AUX
ap-8428	186	28	employed	employ	VERB
ap-8428	186	29	to	to	PART
ap-8428	186	30	find	find	VERB
ap-8428	186	31	out	out	ADP
ap-8428	186	32	tf	tf	PROPN
ap-8428	186	33	of	of	ADP
ap-8428	186	34	the	the	DET
ap-8428	186	35	converter	converter	NOUN
ap-8428	186	36	circuit	circuit	NOUN
ap-8428	186	37	.	.	PUNCT
ap-8428	187	1	figure	figure	VERB
ap-8428	187	2	6	6	NUM
ap-8428	187	3	.	.	PUNCT
ap-8428	187	4	pwm	pwm	NOUN
ap-8428	187	5	switch	switch	NOUN
ap-8428	187	6	model	model	NOUN
ap-8428	187	7	.	.	PUNCT
ap-8428	188	1	figure	figure	VERB
ap-8428	188	2	7	7	NUM
ap-8428	188	3	.	.	NOUN
ap-8428	188	4	pwm	pwm	NOUN
ap-8428	188	5	switch	switch	NOUN
ap-8428	188	6	model	model	NOUN
ap-8428	188	7	as	as	ADP
ap-8428	188	8	1	1	NUM
ap-8428	188	9	:	:	PUNCT
ap-8428	188	10	d	d	NOUN
ap-8428	188	11	transformer	transformer	NOUN
ap-8428	188	12	ratio	ratio	NOUN
ap-8428	188	13	.	.	PUNCT
ap-8428	189	1	figure	figure	NOUN
ap-8428	189	2	8	8	NUM
ap-8428	189	3	.	.	PUNCT
ap-8428	190	1	two	two	NUM
ap-8428	190	2	pwm	pwm	NOUN
ap-8428	190	3	switches	switch	NOUN
ap-8428	190	4	as	as	ADP
ap-8428	190	5	1	1	NUM
ap-8428	190	6	:	:	PUNCT
ap-8428	190	7	d	d	NOUN
ap-8428	190	8	transformer	transformer	NOUN
ap-8428	190	9	ratio	ratio	NOUN
ap-8428	190	10	for	for	ADP
ap-8428	190	11	cb	cb	PROPN
ap-8428	190	12	.	.	PROPN
ap-8428	191	1	therefore	therefore	ADV
ap-8428	191	2	,	,	PUNCT
ap-8428	191	3	for	for	ADP
ap-8428	191	4	complex	complex	ADJ
ap-8428	191	5	cbc	cbc	NOUN
ap-8428	191	6	,	,	PUNCT
ap-8428	191	7	the	the	DET
ap-8428	191	8	conditions	condition	NOUN
ap-8428	191	9	of	of	ADP
ap-8428	191	10	on	on	ADP
ap-8428	191	11	state	state	NOUN
ap-8428	191	12	and	and	CCONJ
ap-8428	191	13	off	off	ADP
ap-8428	191	14	state	state	NOUN
ap-8428	191	15	of	of	ADP
ap-8428	191	16	switches	switch	NOUN
ap-8428	191	17	are	be	AUX
ap-8428	191	18	employed	employ	VERB
ap-8428	191	19	and	and	CCONJ
ap-8428	191	20	two	two	NUM
ap-8428	191	21	pwm	pwm	NOUN
ap-8428	191	22	switches	switch	NOUN
ap-8428	191	23	are	be	AUX
ap-8428	191	24	identified	identify	VERB
ap-8428	191	25	,	,	PUNCT
ap-8428	191	26	which	which	PRON
ap-8428	191	27	are	be	AUX
ap-8428	191	28	represented	represent	VERB
ap-8428	191	29	as	as	ADP
ap-8428	191	30	s1	s1	NOUN
ap-8428	191	31	and	and	CCONJ
ap-8428	191	32	s2	s2	PROPN
ap-8428	191	33	.	.	PUNCT
ap-8428	192	1	the	the	DET
ap-8428	192	2	identified	identify	VERB
ap-8428	192	3	pwm	pwm	NOUN
ap-8428	192	4	switch	switch	NOUN
ap-8428	192	5	models	model	NOUN
ap-8428	192	6	are	be	AUX
ap-8428	192	7	replaced	replace	VERB
ap-8428	192	8	with	with	ADP
ap-8428	192	9	1	1	NUM
ap-8428	192	10	:	:	SYM
ap-8428	192	11	d	d	NOUN
ap-8428	192	12	transformer	transformer	NOUN
ap-8428	192	13	along	along	ADV
ap-8428	192	14	with	with	ADP
ap-8428	192	15	their	their	PRON
ap-8428	192	16	small	small	ADJ
ap-8428	192	17	signals	signal	NOUN
ap-8428	192	18	as	as	SCONJ
ap-8428	192	19	depicted	depict	VERB
ap-8428	192	20	in	in	ADP
ap-8428	192	21	figure	figure	NOUN
ap-8428	192	22	8	8	NUM
ap-8428	192	23	.	.	PUNCT
ap-8428	193	1	in	in	ADP
ap-8428	193	2	order	order	NOUN
ap-8428	193	3	to	to	PART
ap-8428	193	4	determine	determine	VERB
ap-8428	193	5	dc	dc	PROPN
ap-8428	193	6	operating	operating	NOUN
ap-8428	193	7	point	point	NOUN
ap-8428	193	8	of	of	ADP
ap-8428	193	9	complex	complex	ADJ
ap-8428	193	10	cbc	cbc	NOUN
ap-8428	193	11	,	,	PUNCT
ap-8428	193	12	all	all	DET
ap-8428	193	13	inductors	inductor	NOUN
ap-8428	193	14	are	be	AUX
ap-8428	193	15	short	short	ADJ
ap-8428	193	16	circuited	circuit	VERB
ap-8428	193	17	and	and	CCONJ
ap-8428	193	18	capacitors	capacitor	NOUN
ap-8428	193	19	are	be	AUX
ap-8428	193	20	open	open	ADJ
ap-8428	193	21	circuited	circuit	VERB
ap-8428	193	22	.	.	PUNCT
ap-8428	194	1	referring	refer	VERB
ap-8428	194	2	to	to	PART
ap-8428	194	3	figure	figure	VERB
ap-8428	194	4	8	8	NUM
ap-8428	194	5	,	,	PUNCT
ap-8428	194	6	dc	dc	PROPN
ap-8428	194	7	operating	operating	NOUN
ap-8428	194	8	point	point	NOUN
ap-8428	194	9	with	with	ADP
ap-8428	194	10	respect	respect	NOUN
ap-8428	194	11	to	to	PART
ap-8428	194	12	switch	switch	VERB
ap-8428	194	13	s1	s1	PROPN
ap-8428	194	14	is	be	AUX
ap-8428	194	15	,	,	PUNCT
ap-8428	194	16	vap1	vap1	NOUN
ap-8428	194	17	=	=	SYM
ap-8428	194	18	v1	v1	NOUN
ap-8428	194	19	.	.	PUNCT
ap-8428	195	1	current	current	ADJ
ap-8428	195	2	flowing	flow	VERB
ap-8428	195	3	through	through	ADP
ap-8428	195	4	terminal	terminal	ADJ
ap-8428	195	5	‘	'	PUNCT
ap-8428	195	6	c	c	NOUN
ap-8428	195	7	’	'	PUNCT
ap-8428	195	8	of	of	ADP
ap-8428	195	9	switch	switch	NOUN
ap-8428	195	10	s1	s1	NOUN
ap-8428	195	11	is	be	AUX
ap-8428	195	12	,	,	PUNCT
ap-8428	195	13	ic1	ic1	ADJ
ap-8428	195	14	=	=	SYM
ap-8428	195	15	ic2	ic2	NOUN
ap-8428	195	16	−dic2	−dic2	PUNCT
ap-8428	195	17	=	=	PUNCT
ap-8428	196	1	d	d	NOUN
ap-8428	196	2	′	′	NUM
ap-8428	196	3	ic2	ic2	PROPN
ap-8428	196	4	.	.	PUNCT
ap-8428	197	1	similarly	similarly	ADV
ap-8428	197	2	,	,	PUNCT
ap-8428	197	3	dc	dc	PROPN
ap-8428	197	4	operating	operating	NOUN
ap-8428	197	5	point	point	NOUN
ap-8428	197	6	with	with	ADP
ap-8428	197	7	respect	respect	NOUN
ap-8428	197	8	to	to	PART
ap-8428	197	9	switch	switch	VERB
ap-8428	197	10	s2	s2	PROPN
ap-8428	197	11	is	be	AUX
ap-8428	197	12	,	,	PUNCT
ap-8428	197	13	vap	vap	NOUN
ap-8428	197	14	=	=	SYM
ap-8428	197	15	v1(1	v1(1	X
ap-8428	197	16	+	+	NOUN
ap-8428	197	17	d	d	NOUN
ap-8428	197	18	)	)	PUNCT
ap-8428	197	19	,	,	PUNCT
ap-8428	197	20	ic2	ic2	NOUN
ap-8428	197	21	=	=	SYM
ap-8428	198	1	v2	v2	NOUN
ap-8428	198	2	r	r	NOUN
ap-8428	198	3	=	=	PUNCT
ap-8428	198	4	d2v1	d2v1	NOUN
ap-8428	198	5	r	r	NOUN
ap-8428	198	6	.	.	PUNCT
ap-8428	199	1	once	once	ADV
ap-8428	199	2	the	the	DET
ap-8428	199	3	dc	dc	PROPN
ap-8428	199	4	operating	operating	NOUN
ap-8428	199	5	point	point	NOUN
ap-8428	199	6	is	be	AUX
ap-8428	199	7	determined	determine	VERB
ap-8428	199	8	,	,	PUNCT
ap-8428	199	9	4	4	NUM
ap-8428	199	10	-	-	PUNCT
ap-8428	199	11	eet	eet	NOUN
ap-8428	199	12	is	be	AUX
ap-8428	199	13	applied	apply	VERB
ap-8428	199	14	that	that	PRON
ap-8428	199	15	provides	provide	VERB
ap-8428	199	16	separate	separate	ADJ
ap-8428	199	17	,	,	PUNCT
ap-8428	199	18	independent	independent	ADJ
ap-8428	199	19	steps	step	NOUN
ap-8428	199	20	of	of	ADP
ap-8428	199	21	the	the	DET
ap-8428	199	22	analytical	analytical	ADJ
ap-8428	199	23	technique	technique	NOUN
ap-8428	199	24	.	.	PUNCT
ap-8428	200	1	the	the	DET
ap-8428	200	2	general	general	ADJ
ap-8428	200	3	form	form	NOUN
ap-8428	200	4	of	of	ADP
ap-8428	200	5	control	control	NOUN
ap-8428	200	6	to	to	ADP
ap-8428	200	7	output	output	NOUN
ap-8428	200	8	transfer	transfer	NOUN
ap-8428	200	9	function	function	NOUN
ap-8428	200	10	is	be	AUX
ap-8428	200	11	[	[	PUNCT
ap-8428	200	12	v̂2(s	v̂2(s	NOUN
ap-8428	200	13	)	)	PUNCT
ap-8428	200	14	d̂(s	d̂(s	ADV
ap-8428	200	15	)	)	PUNCT
ap-8428	200	16	]	]	PUNCT
ap-8428	200	17	.	.	PUNCT
ap-8428	201	1	in	in	ADP
ap-8428	201	2	the	the	DET
ap-8428	201	3	very	very	ADV
ap-8428	201	4	first	first	ADJ
ap-8428	201	5	step	step	NOUN
ap-8428	201	6	of	of	ADP
ap-8428	201	7	4	4	NUM
ap-8428	201	8	-	-	PUNCT
ap-8428	201	9	eet	eet	NOUN
ap-8428	201	10	,	,	PUNCT
ap-8428	201	11	denominator	denominator	NOUN
ap-8428	201	12	d̂(s	d̂(	NOUN
ap-8428	201	13	)	)	PUNCT
ap-8428	201	14	is	be	AUX
ap-8428	201	15	determined	determine	VERB
ap-8428	201	16	,	,	PUNCT
ap-8428	201	17	for	for	ADP
ap-8428	201	18	which	which	PRON
ap-8428	201	19	each	each	DET
ap-8428	201	20	impedance	impedance	NOUN
ap-8428	201	21	element	element	NOUN
ap-8428	201	22	of	of	ADP
ap-8428	201	23	the	the	DET
ap-8428	201	24	converter	converter	NOUN
ap-8428	201	25	is	be	AUX
ap-8428	201	26	treated	treat	VERB
ap-8428	201	27	as	as	SCONJ
ap-8428	201	28	extra	extra	ADJ
ap-8428	201	29	element	element	NOUN
ap-8428	201	30	and	and	CCONJ
ap-8428	201	31	input	input	NOUN
ap-8428	201	32	sources	source	NOUN
ap-8428	201	33	are	be	AUX
ap-8428	201	34	set	set	VERB
ap-8428	201	35	to	to	ADP
ap-8428	201	36	zero	zero	NUM
ap-8428	201	37	.	.	PUNCT
ap-8428	202	1	with	with	ADP
ap-8428	202	2	respect	respect	NOUN
ap-8428	202	3	to	to	PART
ap-8428	202	4	figure	figure	VERB
ap-8428	202	5	3	3	NUM
ap-8428	202	6	c1	c1	PROPN
ap-8428	202	7	,	,	PUNCT
ap-8428	202	8	c2	c2	PROPN
ap-8428	202	9	,	,	PUNCT
ap-8428	202	10	l2	l2	NOUN
ap-8428	202	11	and	and	CCONJ
ap-8428	202	12	l1	l1	PROPN
ap-8428	202	13	are	be	AUX
ap-8428	202	14	considered	consider	VERB
ap-8428	202	15	as	as	ADP
ap-8428	202	16	4	4	NUM
ap-8428	202	17	ports	port	NOUN
ap-8428	202	18	and	and	CCONJ
ap-8428	202	19	numbered	number	VERB
ap-8428	202	20	as	as	ADP
ap-8428	202	21	port	port	NOUN
ap-8428	202	22	(	(	PUNCT
ap-8428	202	23	1	1	NUM
ap-8428	202	24	)	)	PUNCT
ap-8428	202	25	,	,	PUNCT
ap-8428	202	26	(	(	PUNCT
ap-8428	202	27	2	2	NUM
ap-8428	202	28	)	)	PUNCT
ap-8428	202	29	,	,	PUNCT
ap-8428	202	30	(	(	PUNCT
ap-8428	202	31	3	3	X
ap-8428	202	32	)	)	PUNCT
ap-8428	202	33	and	and	CCONJ
ap-8428	202	34	(	(	PUNCT
ap-8428	202	35	4	4	NUM
ap-8428	202	36	)	)	PUNCT
ap-8428	202	37	,	,	PUNCT
ap-8428	202	38	respectively	respectively	ADV
ap-8428	202	39	.	.	PUNCT
ap-8428	203	1	treating	treat	VERB
ap-8428	203	2	these	these	DET
ap-8428	203	3	ports	port	NOUN
ap-8428	203	4	as	as	ADP
ap-8428	203	5	an	an	DET
ap-8428	203	6	extra	extra	ADJ
ap-8428	203	7	element	element	NOUN
ap-8428	203	8	,	,	PUNCT
ap-8428	203	9	57	57	NUM
ap-8428	203	10	sangeeta	sangeeta	PROPN
ap-8428	203	11	shete	shete	PROPN
ap-8428	203	12	,	,	PUNCT
ap-8428	203	13	prasad	prasad	PROPN
ap-8428	203	14	joshi	joshi	PROPN
ap-8428	203	15	acta	acta	PROPN
ap-8428	203	16	polytechnica	polytechnica	PROPN
ap-8428	203	17	various	various	ADJ
ap-8428	203	18	time	time	NOUN
ap-8428	203	19	constants	constant	NOUN
ap-8428	203	20	are	be	AUX
ap-8428	203	21	determined	determine	VERB
ap-8428	203	22	by	by	ADP
ap-8428	203	23	removing	remove	VERB
ap-8428	203	24	port	port	NOUN
ap-8428	203	25	elements	element	NOUN
ap-8428	203	26	and	and	CCONJ
ap-8428	203	27	observing	observe	VERB
ap-8428	203	28	the	the	DET
ap-8428	203	29	remaining	remain	VERB
ap-8428	203	30	circuit	circuit	NOUN
ap-8428	203	31	through	through	ADP
ap-8428	203	32	the	the	DET
ap-8428	203	33	removed	removed	ADJ
ap-8428	203	34	port	port	NOUN
ap-8428	203	35	.	.	PUNCT
ap-8428	204	1	the	the	DET
ap-8428	204	2	denominator	denominator	NOUN
ap-8428	204	3	of	of	ADP
ap-8428	204	4	the	the	DET
ap-8428	204	5	transfer	transfer	NOUN
ap-8428	204	6	function	function	NOUN
ap-8428	204	7	is	be	AUX
ap-8428	204	8	given	give	VERB
ap-8428	204	9	by	by	ADP
ap-8428	204	10	the	the	DET
ap-8428	204	11	following	follow	VERB
ap-8428	204	12	equation	equation	NOUN
ap-8428	204	13	:	:	PUNCT
ap-8428	204	14	d̂(s	d̂(s	X
ap-8428	204	15	)	)	PUNCT
ap-8428	204	16	=	=	SYM
ap-8428	204	17	1	1	NUM
ap-8428	205	1	+	+	CCONJ
ap-8428	205	2	a1s+	a1s+	PROPN
ap-8428	205	3	a2s	a2s	NOUN
ap-8428	205	4	2	2	NUM
ap-8428	205	5	+	+	CCONJ
ap-8428	205	6	a3s	a3s	PROPN
ap-8428	205	7	3	3	NUM
ap-8428	205	8	+	+	CCONJ
ap-8428	205	9	a4s	a4s	PROPN
ap-8428	205	10	4	4	NUM
ap-8428	205	11	,	,	PUNCT
ap-8428	205	12	(	(	PUNCT
ap-8428	205	13	26	26	NUM
ap-8428	205	14	)	)	PUNCT
ap-8428	205	15	where	where	SCONJ
ap-8428	205	16	a1	a1	NOUN
ap-8428	205	17	=	=	SYM
ap-8428	205	18	τ1	τ1	NOUN
ap-8428	205	19	+	+	CCONJ
ap-8428	205	20	τ2	τ2	NOUN
ap-8428	205	21	+	+	CCONJ
ap-8428	205	22	τ3	τ3	NOUN
ap-8428	205	23	+	+	CCONJ
ap-8428	205	24	τ4	τ4	PROPN
ap-8428	205	25	a2	a2	PROPN
ap-8428	205	26	=	=	SYM
ap-8428	205	27	τ1τ	τ1τ	PUNCT
ap-8428	205	28	2	2	NUM
ap-8428	205	29	1	1	NUM
ap-8428	205	30	+	+	CCONJ
ap-8428	205	31	τ1τ	τ1τ	PUNCT
ap-8428	205	32	3	3	NUM
ap-8428	205	33	1	1	NUM
ap-8428	205	34	+	+	CCONJ
ap-8428	205	35	τ1τ	τ1τ	PUNCT
ap-8428	205	36	4	4	NUM
ap-8428	205	37	1	1	NUM
ap-8428	205	38	+	+	CCONJ
ap-8428	205	39	τ2τ	τ2τ	ADJ
ap-8428	205	40	3	3	NUM
ap-8428	205	41	2	2	NUM
ap-8428	205	42	+	+	CCONJ
ap-8428	205	43	τ2τ	τ2τ	ADJ
ap-8428	205	44	4	4	NUM
ap-8428	205	45	2	2	NUM
ap-8428	205	46	+	+	CCONJ
ap-8428	205	47	τ3τ	τ3τ	SYM
ap-8428	205	48	4	4	NUM
ap-8428	205	49	3	3	NUM
ap-8428	205	50	a3	a3	NOUN
ap-8428	205	51	=	=	SYM
ap-8428	205	52	τ1τ	τ1τ	PUNCT
ap-8428	205	53	3	3	NUM
ap-8428	205	54	1	1	NUM
ap-8428	205	55	τ	τ	PROPN
ap-8428	205	56	2	2	NUM
ap-8428	205	57	31	31	NUM
ap-8428	205	58	+	+	CCONJ
ap-8428	205	59	τ4τ	τ4τ	X
ap-8428	205	60	1	1	NUM
ap-8428	205	61	4	4	NUM
ap-8428	205	62	τ	τ	SYM
ap-8428	205	63	2	2	NUM
ap-8428	205	64	41	41	NUM
ap-8428	205	65	+	+	CCONJ
ap-8428	205	66	τ4τ	τ4τ	X
ap-8428	205	67	1	1	NUM
ap-8428	205	68	4	4	NUM
ap-8428	205	69	τ	τ	PROPN
ap-8428	205	70	3	3	NUM
ap-8428	205	71	41	41	NUM
ap-8428	205	72	+	+	CCONJ
ap-8428	205	73	τ3τ	τ3τ	SYM
ap-8428	205	74	3	3	NUM
ap-8428	205	75	2	2	NUM
ap-8428	205	76	τ	τ	PROPN
ap-8428	205	77	4	4	NUM
ap-8428	205	78	23	23	NUM
ap-8428	205	79	a4	a4	NOUN
ap-8428	205	80	=	=	SYM
ap-8428	205	81	τ4τ	τ4τ	X
ap-8428	205	82	1	1	NUM
ap-8428	205	83	4	4	NUM
ap-8428	205	84	τ	τ	PROPN
ap-8428	205	85	3	3	NUM
ap-8428	205	86	41τ	41τ	NOUN
ap-8428	205	87	2	2	NUM
ap-8428	205	88	413	413	NUM
ap-8428	205	89			PROPN
ap-8428	205	90	(	(	PUNCT
ap-8428	205	91	27	27	NUM
ap-8428	205	92	)	)	PUNCT
ap-8428	205	93	figure	figure	NOUN
ap-8428	205	94	9	9	NUM
ap-8428	205	95	is	be	AUX
ap-8428	205	96	referred	refer	VERB
ap-8428	205	97	for	for	ADP
ap-8428	205	98	determination	determination	NOUN
ap-8428	205	99	of	of	ADP
ap-8428	205	100	(	(	PUNCT
ap-8428	205	101	τ	τ	PROPN
ap-8428	205	102	)	)	PUNCT
ap-8428	205	103	for	for	ADP
ap-8428	205	104	a1	a1	NOUN
ap-8428	205	105	,	,	PUNCT
ap-8428	205	106	which	which	PRON
ap-8428	205	107	is	be	AUX
ap-8428	205	108	explained	explain	VERB
ap-8428	205	109	in	in	ADP
ap-8428	205	110	table	table	NOUN
ap-8428	205	111	2	2	NUM
ap-8428	205	112	.	.	PUNCT
ap-8428	205	113	figure	figure	NOUN
ap-8428	205	114	9	9	NUM
ap-8428	205	115	.	.	PUNCT
ap-8428	206	1	determination	determination	NOUN
ap-8428	206	2	of	of	ADP
ap-8428	206	3	(	(	PUNCT
ap-8428	206	4	a	a	NOUN
ap-8428	206	5	)	)	PUNCT
ap-8428	206	6	τ1	τ1	NOUN
ap-8428	206	7	(	(	PUNCT
ap-8428	206	8	b	b	NOUN
ap-8428	206	9	)	)	PUNCT
ap-8428	206	10	τ2	τ2	NOUN
ap-8428	206	11	(	(	PUNCT
ap-8428	206	12	c	c	NOUN
ap-8428	206	13	)	)	PUNCT
ap-8428	206	14	τ3	τ3	NOUN
ap-8428	206	15	(	(	PUNCT
ap-8428	206	16	d	d	NOUN
ap-8428	206	17	)	)	PUNCT
ap-8428	206	18	τ4	τ4	PROPN
ap-8428	206	19	.	.	PUNCT
ap-8428	207	1	τ	τ	PROPN
ap-8428	207	2	expression	expression	NOUN
ap-8428	207	3	τ1	τ1	ADP
ap-8428	207	4	time	time	NOUN
ap-8428	207	5	constant	constant	ADJ
ap-8428	207	6	of	of	ADP
ap-8428	207	7	first	first	ADJ
ap-8428	207	8	port	port	NOUN
ap-8428	207	9	is	be	AUX
ap-8428	207	10	req	req	ADJ
ap-8428	207	11	x	x	X
ap-8428	207	12	c1	c1	PROPN
ap-8428	207	13	,	,	PUNCT
ap-8428	207	14	determined	determine	VERB
ap-8428	207	15	by	by	ADP
ap-8428	207	16	observing	observe	VERB
ap-8428	207	17	the	the	DET
ap-8428	207	18	circuit	circuit	NOUN
ap-8428	207	19	through	through	ADP
ap-8428	207	20	port	port	NOUN
ap-8428	207	21	(	(	PUNCT
ap-8428	207	22	1	1	NUM
ap-8428	207	23	)	)	PUNCT
ap-8428	207	24	,	,	PUNCT
ap-8428	207	25	capacitor	capacitor	NOUN
ap-8428	207	26	of	of	ADP
ap-8428	207	27	this	this	DET
ap-8428	207	28	port	port	NOUN
ap-8428	207	29	1	1	NUM
ap-8428	207	30	is	be	AUX
ap-8428	207	31	assumed	assume	VERB
ap-8428	207	32	as	as	ADP
ap-8428	207	33	extra	extra	ADJ
ap-8428	207	34	element	element	NOUN
ap-8428	207	35	and	and	CCONJ
ap-8428	207	36	is	be	AUX
ap-8428	207	37	removed	remove	VERB
ap-8428	207	38	temporarily	temporarily	ADV
ap-8428	207	39	,	,	PUNCT
ap-8428	207	40	l1	l1	PROPN
ap-8428	207	41	,	,	PUNCT
ap-8428	207	42	l2	l2	NOUN
ap-8428	207	43	and	and	CCONJ
ap-8428	207	44	c2	c2	PROPN
ap-8428	207	45	are	be	AUX
ap-8428	207	46	assumed	assume	VERB
ap-8428	207	47	in	in	ADP
ap-8428	207	48	dc	dc	PROPN
ap-8428	207	49	condition	condition	NOUN
ap-8428	207	50	.	.	PUNCT
ap-8428	208	1	by	by	ADP
ap-8428	208	2	observing	observe	VERB
ap-8428	208	3	through	through	ADP
ap-8428	208	4	port	port	NOUN
ap-8428	208	5	1	1	NUM
ap-8428	208	6	,	,	PUNCT
ap-8428	208	7	the	the	DET
ap-8428	208	8	req	req	NOUN
ap-8428	208	9	is	be	AUX
ap-8428	208	10	0	0	NUM
ap-8428	208	11	,	,	PUNCT
ap-8428	208	12	therefore	therefore	ADV
ap-8428	208	13	,	,	PUNCT
ap-8428	208	14	τ1	τ1	NOUN
ap-8428	208	15	=	=	SYM
ap-8428	208	16	req	req	NOUN
ap-8428	208	17	x	x	X
ap-8428	208	18	c1	c1	NOUN
ap-8428	208	19	=	=	NOUN
ap-8428	209	1	0	0	X
ap-8428	209	2	.	.	PUNCT
ap-8428	210	1	τ2	τ2	ADJ
ap-8428	210	2	time	time	NOUN
ap-8428	210	3	constant	constant	ADJ
ap-8428	210	4	of	of	ADP
ap-8428	210	5	second	second	ADJ
ap-8428	210	6	port	port	NOUN
ap-8428	210	7	is	be	AUX
ap-8428	210	8	req	req	ADJ
ap-8428	210	9	x	x	SYM
ap-8428	210	10	c2	c2	PROPN
ap-8428	210	11	,	,	PUNCT
ap-8428	210	12	determined	determine	VERB
ap-8428	210	13	by	by	ADP
ap-8428	210	14	observing	observe	VERB
ap-8428	210	15	the	the	DET
ap-8428	210	16	circuit	circuit	NOUN
ap-8428	210	17	through	through	ADP
ap-8428	210	18	port	port	NOUN
ap-8428	210	19	(	(	PUNCT
ap-8428	210	20	2	2	NUM
ap-8428	210	21	)	)	PUNCT
ap-8428	210	22	,	,	PUNCT
ap-8428	210	23	capacitor	capacitor	NOUN
ap-8428	210	24	of	of	ADP
ap-8428	210	25	this	this	DET
ap-8428	210	26	port	port	NOUN
ap-8428	210	27	is	be	AUX
ap-8428	210	28	now	now	ADV
ap-8428	210	29	extra	extra	ADJ
ap-8428	210	30	element	element	NOUN
ap-8428	210	31	and	and	CCONJ
ap-8428	210	32	is	be	AUX
ap-8428	210	33	removed	remove	VERB
ap-8428	210	34	temporarily	temporarily	ADV
ap-8428	210	35	,	,	PUNCT
ap-8428	210	36	l1	l1	PROPN
ap-8428	210	37	,	,	PUNCT
ap-8428	210	38	l2	l2	NOUN
ap-8428	210	39	and	and	CCONJ
ap-8428	210	40	c1	c1	NOUN
ap-8428	210	41	are	be	AUX
ap-8428	210	42	assumed	assume	VERB
ap-8428	210	43	in	in	ADP
ap-8428	210	44	dc	dc	PROPN
ap-8428	210	45	condition	condition	NOUN
ap-8428	210	46	.	.	PUNCT
ap-8428	211	1	after	after	ADP
ap-8428	211	2	observation	observation	NOUN
ap-8428	211	3	,	,	PUNCT
ap-8428	211	4	req	req	NOUN
ap-8428	211	5	is	be	AUX
ap-8428	211	6	0	0	NUM
ap-8428	211	7	,	,	PUNCT
ap-8428	211	8	therefore	therefore	ADV
ap-8428	211	9	,	,	PUNCT
ap-8428	211	10	τ2	τ2	NOUN
ap-8428	211	11	=	=	SYM
ap-8428	211	12	req	req	NOUN
ap-8428	211	13	x	x	PUNCT
ap-8428	211	14	c2	c2	PROPN
ap-8428	211	15	=	=	SYM
ap-8428	212	1	0	0	X
ap-8428	212	2	.	.	PUNCT
ap-8428	212	3	τ3	τ3	NOUN
ap-8428	212	4	time	time	NOUN
ap-8428	212	5	constant	constant	ADJ
ap-8428	212	6	of	of	ADP
ap-8428	212	7	third	third	ADJ
ap-8428	212	8	port	port	NOUN
ap-8428	212	9	is	be	AUX
ap-8428	212	10	(	(	PUNCT
ap-8428	212	11	l2	l2	NOUN
ap-8428	212	12	req	req	NOUN
ap-8428	212	13	)	)	PUNCT
ap-8428	212	14	,	,	PUNCT
ap-8428	212	15	which	which	PRON
ap-8428	212	16	is	be	AUX
ap-8428	212	17	determined	determine	VERB
ap-8428	212	18	by	by	ADP
ap-8428	212	19	observing	observe	VERB
ap-8428	212	20	the	the	DET
ap-8428	212	21	circuit	circuit	NOUN
ap-8428	212	22	through	through	ADP
ap-8428	212	23	port	port	NOUN
ap-8428	212	24	(	(	PUNCT
ap-8428	212	25	3	3	NUM
ap-8428	212	26	)	)	PUNCT
ap-8428	212	27	.	.	PUNCT
ap-8428	213	1	inductor	inductor	NOUN
ap-8428	213	2	of	of	ADP
ap-8428	213	3	this	this	DET
ap-8428	213	4	port	port	NOUN
ap-8428	213	5	is	be	AUX
ap-8428	213	6	extra	extra	ADJ
ap-8428	213	7	element	element	NOUN
ap-8428	213	8	and	and	CCONJ
ap-8428	213	9	is	be	AUX
ap-8428	213	10	removed	remove	VERB
ap-8428	213	11	temporarily	temporarily	ADV
ap-8428	213	12	and	and	CCONJ
ap-8428	213	13	c1	c1	PROPN
ap-8428	213	14	,	,	PUNCT
ap-8428	213	15	c2	c2	PROPN
ap-8428	213	16	and	and	CCONJ
ap-8428	213	17	l1	l1	PROPN
ap-8428	213	18	are	be	AUX
ap-8428	213	19	kept	keep	VERB
ap-8428	213	20	in	in	ADP
ap-8428	213	21	dc	dc	PROPN
ap-8428	213	22	condition	condition	NOUN
ap-8428	213	23	.	.	PUNCT
ap-8428	214	1	by	by	ADP
ap-8428	214	2	observation	observation	NOUN
ap-8428	214	3	,	,	PUNCT
ap-8428	214	4	req	req	PROPN
ap-8428	214	5	is	be	AUX
ap-8428	214	6	r.	r.	PROPN
ap-8428	214	7	hence	hence	ADV
ap-8428	214	8	,	,	PUNCT
ap-8428	214	9	τ3	τ3	NOUN
ap-8428	214	10	=	=	SYM
ap-8428	214	11	l2	l2	NOUN
ap-8428	214	12	r	r	NOUN
ap-8428	214	13	.	.	PUNCT
ap-8428	215	1	τ4	τ4	NOUN
ap-8428	215	2	time	time	NOUN
ap-8428	215	3	constant	constant	ADJ
ap-8428	215	4	of	of	ADP
ap-8428	215	5	fourth	fourth	ADJ
ap-8428	215	6	port	port	NOUN
ap-8428	215	7	is	be	AUX
ap-8428	215	8	(	(	PUNCT
ap-8428	215	9	l1	l1	PROPN
ap-8428	215	10	req	req	PROPN
ap-8428	215	11	)	)	PUNCT
ap-8428	215	12	,	,	PUNCT
ap-8428	215	13	which	which	PRON
ap-8428	215	14	is	be	AUX
ap-8428	215	15	determined	determine	VERB
ap-8428	215	16	by	by	ADP
ap-8428	215	17	observing	observe	VERB
ap-8428	215	18	the	the	DET
ap-8428	215	19	circuit	circuit	NOUN
ap-8428	215	20	through	through	ADP
ap-8428	215	21	port	port	NOUN
ap-8428	215	22	(	(	PUNCT
ap-8428	215	23	4	4	NUM
ap-8428	215	24	)	)	PUNCT
ap-8428	215	25	.	.	PUNCT
ap-8428	216	1	inductor	inductor	NOUN
ap-8428	216	2	of	of	ADP
ap-8428	216	3	this	this	DET
ap-8428	216	4	port	port	NOUN
ap-8428	216	5	is	be	AUX
ap-8428	216	6	extra	extra	ADJ
ap-8428	216	7	element	element	NOUN
ap-8428	216	8	and	and	CCONJ
ap-8428	216	9	is	be	AUX
ap-8428	216	10	removed	remove	VERB
ap-8428	216	11	temporarily	temporarily	ADV
ap-8428	216	12	and	and	CCONJ
ap-8428	216	13	c1	c1	PROPN
ap-8428	216	14	,	,	PUNCT
ap-8428	216	15	c2	c2	PROPN
ap-8428	216	16	and	and	CCONJ
ap-8428	216	17	l2	l2	NOUN
ap-8428	216	18	are	be	AUX
ap-8428	216	19	kept	keep	VERB
ap-8428	216	20	in	in	ADP
ap-8428	216	21	dc	dc	PROPN
ap-8428	216	22	condition	condition	NOUN
ap-8428	216	23	.	.	PUNCT
ap-8428	217	1	by	by	ADP
ap-8428	217	2	observing	observe	VERB
ap-8428	217	3	the	the	DET
ap-8428	217	4	circuit	circuit	NOUN
ap-8428	217	5	it	it	PRON
ap-8428	217	6	is	be	AUX
ap-8428	217	7	seen	see	VERB
ap-8428	217	8	that	that	SCONJ
ap-8428	217	9	req	req	NOUN
ap-8428	217	10	is	be	AUX
ap-8428	217	11	r	r	NOUN
ap-8428	217	12	d′2	d′2	NOUN
ap-8428	217	13	.	.	PUNCT
ap-8428	218	1	hence	hence	ADV
ap-8428	218	2	,	,	PUNCT
ap-8428	218	3	τ4	τ4	PROPN
ap-8428	218	4	=	=	SYM
ap-8428	218	5	l1d	l1d	NOUN
ap-8428	218	6	′2	′2	NOUN
ap-8428	218	7	r	r	NOUN
ap-8428	218	8	.	.	PUNCT
ap-8428	218	9	table	table	NOUN
ap-8428	218	10	2	2	NUM
ap-8428	218	11	.	.	PUNCT
ap-8428	219	1	determination	determination	NOUN
ap-8428	219	2	of	of	ADP
ap-8428	219	3	(	(	PUNCT
ap-8428	219	4	τ	τ	X
ap-8428	219	5	)	)	PUNCT
ap-8428	219	6	for	for	ADP
ap-8428	219	7	a1	a1	NOUN
ap-8428	219	8	.	.	PUNCT
ap-8428	220	1	by	by	ADP
ap-8428	220	2	summarizing	summarize	VERB
ap-8428	220	3	the	the	DET
ap-8428	220	4	results	result	NOUN
ap-8428	220	5	of	of	ADP
ap-8428	220	6	table	table	NOUN
ap-8428	220	7	2	2	NUM
ap-8428	220	8	,	,	PUNCT
ap-8428	220	9	we	we	PRON
ap-8428	220	10	get	get	VERB
ap-8428	220	11	:	:	PUNCT
ap-8428	220	12	a1	a1	NOUN
ap-8428	220	13	=	=	SYM
ap-8428	220	14	l2	l2	NOUN
ap-8428	220	15	r	r	NOUN
ap-8428	220	16	+	+	CCONJ
ap-8428	220	17	l1d	l1d	NOUN
ap-8428	220	18	′2	′2	NOUN
ap-8428	220	19	r	r	NOUN
ap-8428	220	20	(	(	PUNCT
ap-8428	220	21	28	28	NUM
ap-8428	220	22	)	)	PUNCT
ap-8428	220	23	first	first	ADJ
ap-8428	220	24	two	two	NUM
ap-8428	220	25	terms	term	NOUN
ap-8428	220	26	and	and	CCONJ
ap-8428	220	27	the	the	DET
ap-8428	220	28	last	last	ADJ
ap-8428	220	29	term	term	NOUN
ap-8428	220	30	of	of	ADP
ap-8428	220	31	the	the	DET
ap-8428	220	32	a2	a2	PROPN
ap-8428	220	33	(	(	PUNCT
ap-8428	220	34	equation	equation	NOUN
ap-8428	220	35	(	(	PUNCT
ap-8428	220	36	27	27	NUM
ap-8428	220	37	)	)	PUNCT
ap-8428	220	38	)	)	PUNCT
ap-8428	220	39	are	be	AUX
ap-8428	220	40	zero	zero	NUM
ap-8428	220	41	.	.	PUNCT
ap-8428	221	1	the	the	DET
ap-8428	221	2	calculation	calculation	NOUN
ap-8428	221	3	of	of	ADP
ap-8428	221	4	a2	a2	PROPN
ap-8428	221	5	is	be	AUX
ap-8428	221	6	only	only	ADV
ap-8428	221	7	addition	addition	NOUN
ap-8428	221	8	of	of	ADP
ap-8428	221	9	middle	middle	ADJ
ap-8428	221	10	terms	term	NOUN
ap-8428	221	11	,	,	PUNCT
ap-8428	221	12	i.e.	i.e.	X
ap-8428	221	13	(	(	PUNCT
ap-8428	221	14	τ1τ	τ1τ	X
ap-8428	221	15	4	4	NUM
ap-8428	221	16	1	1	NUM
ap-8428	221	17	+	+	CCONJ
ap-8428	221	18	τ2τ	τ2τ	ADJ
ap-8428	221	19	3	3	NUM
ap-8428	221	20	2	2	NUM
ap-8428	221	21	+	+	CCONJ
ap-8428	221	22	τ2τ	τ2τ	ADJ
ap-8428	221	23	4	4	NUM
ap-8428	221	24	2	2	NUM
ap-8428	221	25	)	)	PUNCT
ap-8428	221	26	,	,	PUNCT
ap-8428	221	27	which	which	PRON
ap-8428	221	28	are	be	AUX
ap-8428	221	29	indeterminate	indeterminate	ADJ
ap-8428	221	30	and	and	CCONJ
ap-8428	221	31	is	be	AUX
ap-8428	221	32	removed	remove	VERB
ap-8428	221	33	by	by	ADP
ap-8428	221	34	changing	change	VERB
ap-8428	221	35	the	the	DET
ap-8428	221	36	port	port	NOUN
ap-8428	221	37	sequence	sequence	NOUN
ap-8428	221	38	as	as	ADP
ap-8428	221	39	[	[	X
ap-8428	221	40	τ4τ	τ4τ	ADP
ap-8428	221	41	1	1	NUM
ap-8428	221	42	4	4	NUM
ap-8428	221	43	+	+	CCONJ
ap-8428	221	44	τ3τ	τ3τ	SYM
ap-8428	221	45	2	2	NUM
ap-8428	221	46	3	3	NUM
ap-8428	221	47	+	+	CCONJ
ap-8428	221	48	τ4τ	τ4τ	X
ap-8428	221	49	2	2	NUM
ap-8428	221	50	4	4	NUM
ap-8428	221	51	]	]	PUNCT
ap-8428	221	52	.	.	PUNCT
ap-8428	222	1	referring	refer	VERB
ap-8428	222	2	the	the	DET
ap-8428	222	3	figure	figure	NOUN
ap-8428	222	4	10	10	NUM
ap-8428	222	5	,	,	PUNCT
ap-8428	222	6	terms	term	NOUN
ap-8428	222	7	τ1	τ1	ADP
ap-8428	222	8	4	4	NUM
ap-8428	222	9	,	,	PUNCT
ap-8428	222	10	τ2	τ2	NOUN
ap-8428	222	11	3	3	NUM
ap-8428	222	12	and	and	CCONJ
ap-8428	222	13	τ2	τ2	NOUN
ap-8428	222	14	4	4	NUM
ap-8428	222	15	are	be	AUX
ap-8428	222	16	determined	determine	VERB
ap-8428	222	17	as	as	SCONJ
ap-8428	222	18	described	describe	VERB
ap-8428	222	19	in	in	ADP
ap-8428	222	20	table	table	NOUN
ap-8428	222	21	3	3	NUM
ap-8428	222	22	.	.	PUNCT
ap-8428	222	23	by	by	ADP
ap-8428	222	24	summing	sum	VERB
ap-8428	222	25	up	up	ADP
ap-8428	222	26	the	the	DET
ap-8428	222	27	results	result	NOUN
ap-8428	222	28	from	from	ADP
ap-8428	222	29	the	the	DET
ap-8428	222	30	table	table	NOUN
ap-8428	222	31	3	3	NUM
ap-8428	222	32	,	,	PUNCT
ap-8428	222	33	we	we	PRON
ap-8428	222	34	get	get	VERB
ap-8428	222	35	:	:	PUNCT
ap-8428	223	1	a2	a2	PROPN
ap-8428	223	2	=	=	SYM
ap-8428	223	3	l1c1	l1c1	NOUN
ap-8428	223	4	+	+	X
ap-8428	223	5	l2c2	l2c2	X
ap-8428	223	6	+	+	CCONJ
ap-8428	223	7	l1c2d	l1c2d	NUM
ap-8428	223	8	′2	′2	X
ap-8428	223	9	.	.	PUNCT
ap-8428	223	10	(	(	PUNCT
ap-8428	223	11	29	29	NUM
ap-8428	223	12	)	)	PUNCT
ap-8428	223	13	the	the	DET
ap-8428	223	14	first	first	ADJ
ap-8428	223	15	term	term	NOUN
ap-8428	223	16	of	of	ADP
ap-8428	223	17	the	the	DET
ap-8428	223	18	a3	a3	NOUN
ap-8428	223	19	(	(	PUNCT
ap-8428	223	20	equation	equation	NOUN
ap-8428	223	21	(	(	PUNCT
ap-8428	223	22	27	27	NUM
ap-8428	223	23	)	)	PUNCT
ap-8428	223	24	)	)	PUNCT
ap-8428	223	25	can	can	AUX
ap-8428	223	26	not	not	PART
ap-8428	223	27	be	be	AUX
ap-8428	223	28	determined	determine	VERB
ap-8428	223	29	as	as	SCONJ
ap-8428	223	30	it	it	PRON
ap-8428	223	31	gives	give	VERB
ap-8428	223	32	a	a	DET
ap-8428	223	33	ratio	ratio	NOUN
ap-8428	223	34	of	of	ADP
ap-8428	223	35	(	(	PUNCT
ap-8428	223	36	0/0	0/0	NUM
ap-8428	223	37	)	)	PUNCT
ap-8428	223	38	,	,	PUNCT
ap-8428	223	39	this	this	DET
ap-8428	223	40	indeterminacy	indeterminacy	NOUN
ap-8428	223	41	in	in	ADP
ap-8428	223	42	time	time	NOUN
ap-8428	223	43	constants	constant	NOUN
ap-8428	223	44	is	be	AUX
ap-8428	223	45	removed	remove	VERB
ap-8428	223	46	with	with	ADP
ap-8428	223	47	new	new	ADJ
ap-8428	223	48	sequence	sequence	NOUN
ap-8428	223	49	of	of	ADP
ap-8428	223	50	ports	port	NOUN
ap-8428	223	51	for	for	ADP
ap-8428	223	52	a3	a3	NOUN
ap-8428	223	53	which	which	PRON
ap-8428	223	54	is	be	AUX
ap-8428	223	55	,	,	PUNCT
ap-8428	223	56	a3	a3	NOUN
ap-8428	223	57	=	=	SYM
ap-8428	223	58	τ1τ	τ1τ	PUNCT
ap-8428	224	1	3	3	NUM
ap-8428	224	2	1	1	NUM
ap-8428	224	3	τ	τ	PROPN
ap-8428	224	4	2	2	NUM
ap-8428	224	5	31	31	NUM
ap-8428	224	6	+	+	CCONJ
ap-8428	224	7	τ4τ	τ4τ	X
ap-8428	224	8	1	1	NUM
ap-8428	224	9	4	4	NUM
ap-8428	224	10	τ	τ	SYM
ap-8428	224	11	2	2	NUM
ap-8428	224	12	41	41	NUM
ap-8428	224	13	+	+	CCONJ
ap-8428	224	14	τ4τ	τ4τ	X
ap-8428	224	15	1	1	NUM
ap-8428	224	16	4	4	NUM
ap-8428	224	17	τ	τ	PROPN
ap-8428	224	18	3	3	NUM
ap-8428	224	19	41	41	NUM
ap-8428	224	20	+	+	CCONJ
ap-8428	224	21	τ3τ	τ3τ	SYM
ap-8428	224	22	3	3	NUM
ap-8428	224	23	2	2	NUM
ap-8428	224	24	τ	τ	PROPN
ap-8428	224	25	4	4	NUM
ap-8428	224	26	23	23	NUM
ap-8428	224	27	.	.	PUNCT
ap-8428	225	1	(	(	PUNCT
ap-8428	225	2	30	30	NUM
ap-8428	225	3	)	)	PUNCT
ap-8428	225	4	58	58	NUM
ap-8428	225	5	vol	vol	NOUN
ap-8428	225	6	.	.	PUNCT
ap-8428	226	1	63	63	NUM
ap-8428	226	2	no	no	NOUN
ap-8428	226	3	.	.	PUNCT
ap-8428	227	1	1/2023	1/2023	NUM
ap-8428	227	2	comparative	comparative	ADJ
ap-8428	227	3	study	study	NOUN
ap-8428	227	4	of	of	ADP
ap-8428	227	5	state	state	NOUN
ap-8428	227	6	space	space	NOUN
ap-8428	227	7	averaging	averaging	NOUN
ap-8428	227	8	and	and	CCONJ
ap-8428	227	9	pwm	pwm	NOUN
ap-8428	227	10	.	.	PUNCT
ap-8428	227	11	.	.	PUNCT
ap-8428	227	12	.	.	PUNCT
ap-8428	228	1	figure	figure	VERB
ap-8428	228	2	10	10	NUM
ap-8428	228	3	.	.	PUNCT
ap-8428	229	1	determination	determination	NOUN
ap-8428	229	2	of	of	ADP
ap-8428	229	3	(	(	PUNCT
ap-8428	229	4	a	a	X
ap-8428	229	5	)	)	PUNCT
ap-8428	229	6	τ1	τ1	NOUN
ap-8428	229	7	4	4	NUM
ap-8428	229	8	(	(	PUNCT
ap-8428	229	9	b	b	NOUN
ap-8428	229	10	)	)	PUNCT
ap-8428	229	11	τ2	τ2	NOUN
ap-8428	229	12	3	3	NUM
ap-8428	229	13	(	(	PUNCT
ap-8428	229	14	c	c	NOUN
ap-8428	229	15	)	)	PUNCT
ap-8428	229	16	τ2	τ2	NOUN
ap-8428	229	17	4	4	NUM
ap-8428	229	18	.	.	PUNCT
ap-8428	230	1	τ	τ	PROPN
ap-8428	230	2	expression	expression	NOUN
ap-8428	230	3	τ1	τ1	PROPN
ap-8428	230	4	4	4	NUM
ap-8428	230	5	observing	observe	VERB
ap-8428	230	6	the	the	DET
ap-8428	230	7	circuit	circuit	NOUN
ap-8428	230	8	through	through	ADP
ap-8428	230	9	port	port	NOUN
ap-8428	230	10	(	(	PUNCT
ap-8428	230	11	1	1	NUM
ap-8428	230	12	)	)	PUNCT
ap-8428	230	13	,	,	PUNCT
ap-8428	230	14	port	port	NOUN
ap-8428	230	15	(	(	PUNCT
ap-8428	230	16	4	4	NUM
ap-8428	230	17	)	)	PUNCT
ap-8428	230	18	is	be	AUX
ap-8428	230	19	considered	consider	VERB
ap-8428	230	20	in	in	ADP
ap-8428	230	21	high	high	ADJ
ap-8428	230	22	frequency	frequency	NOUN
ap-8428	230	23	state	state	NOUN
ap-8428	230	24	and	and	CCONJ
ap-8428	230	25	ports	port	NOUN
ap-8428	230	26	(	(	PUNCT
ap-8428	230	27	2	2	NUM
ap-8428	230	28	)	)	PUNCT
ap-8428	230	29	and	and	CCONJ
ap-8428	230	30	(	(	PUNCT
ap-8428	230	31	3	3	X
ap-8428	230	32	)	)	PUNCT
ap-8428	230	33	are	be	AUX
ap-8428	230	34	kept	keep	VERB
ap-8428	230	35	in	in	ADP
ap-8428	230	36	dc	dc	PROPN
ap-8428	230	37	condition	condition	NOUN
ap-8428	230	38	,	,	PUNCT
ap-8428	230	39	capacitor	capacitor	NOUN
ap-8428	230	40	of	of	ADP
ap-8428	230	41	port	port	NOUN
ap-8428	230	42	(	(	PUNCT
ap-8428	230	43	1	1	X
ap-8428	230	44	)	)	PUNCT
ap-8428	230	45	is	be	AUX
ap-8428	230	46	treated	treat	VERB
ap-8428	230	47	as	as	ADP
ap-8428	230	48	extra	extra	ADJ
ap-8428	230	49	element	element	NOUN
ap-8428	230	50	and	and	CCONJ
ap-8428	230	51	removed	remove	VERB
ap-8428	230	52	temporarily	temporarily	ADV
ap-8428	230	53	,	,	PUNCT
ap-8428	230	54	equivalent	equivalent	ADJ
ap-8428	230	55	resistance	resistance	NOUN
ap-8428	230	56	req	req	NOUN
ap-8428	230	57	is	be	AUX
ap-8428	230	58	r	r	NOUN
ap-8428	230	59	d′2	d′2	NOUN
ap-8428	230	60	.	.	PUNCT
ap-8428	231	1	hence	hence	ADV
ap-8428	231	2	τ4τ	τ4τ	ADV
ap-8428	231	3	1	1	NUM
ap-8428	231	4	4	4	NUM
ap-8428	231	5	=	=	SYM
ap-8428	231	6	l1c1	l1c1	NOUN
ap-8428	231	7	.	.	PUNCT
ap-8428	232	1	τ2	τ2	NOUN
ap-8428	232	2	3	3	NUM
ap-8428	232	3	observing	observe	VERB
ap-8428	232	4	the	the	DET
ap-8428	232	5	circuit	circuit	NOUN
ap-8428	232	6	through	through	ADP
ap-8428	232	7	port	port	NOUN
ap-8428	232	8	(	(	PUNCT
ap-8428	232	9	2	2	NUM
ap-8428	232	10	)	)	PUNCT
ap-8428	232	11	,	,	PUNCT
ap-8428	232	12	port	port	NOUN
ap-8428	232	13	(	(	PUNCT
ap-8428	232	14	3	3	NUM
ap-8428	232	15	)	)	PUNCT
ap-8428	232	16	is	be	AUX
ap-8428	232	17	considered	consider	VERB
ap-8428	232	18	in	in	ADP
ap-8428	232	19	high	high	ADJ
ap-8428	232	20	frequency	frequency	NOUN
ap-8428	232	21	state	state	NOUN
ap-8428	232	22	and	and	CCONJ
ap-8428	232	23	ports	port	NOUN
ap-8428	232	24	(	(	PUNCT
ap-8428	232	25	1	1	NUM
ap-8428	232	26	)	)	PUNCT
ap-8428	232	27	and	and	CCONJ
ap-8428	232	28	(	(	PUNCT
ap-8428	232	29	4	4	X
ap-8428	232	30	)	)	PUNCT
ap-8428	232	31	are	be	AUX
ap-8428	232	32	kept	keep	VERB
ap-8428	232	33	in	in	ADP
ap-8428	232	34	dc	dc	PROPN
ap-8428	232	35	condition	condition	NOUN
ap-8428	232	36	,	,	PUNCT
ap-8428	232	37	capacitor	capacitor	NOUN
ap-8428	232	38	of	of	ADP
ap-8428	232	39	port	port	NOUN
ap-8428	232	40	(	(	PUNCT
ap-8428	232	41	2	2	NUM
ap-8428	232	42	)	)	PUNCT
ap-8428	232	43	is	be	AUX
ap-8428	232	44	treated	treat	VERB
ap-8428	232	45	as	as	ADP
ap-8428	232	46	extra	extra	ADJ
ap-8428	232	47	element	element	NOUN
ap-8428	232	48	and	and	CCONJ
ap-8428	232	49	removed	remove	VERB
ap-8428	232	50	temporarily	temporarily	ADV
ap-8428	232	51	,	,	PUNCT
ap-8428	232	52	equivalent	equivalent	ADJ
ap-8428	232	53	resistance	resistance	NOUN
ap-8428	232	54	req	req	NOUN
ap-8428	232	55	is	be	AUX
ap-8428	232	56	r.	r.	PROPN
ap-8428	232	57	therefore	therefore	ADV
ap-8428	232	58	τ3τ	τ3τ	PROPN
ap-8428	232	59	2	2	NUM
ap-8428	232	60	3	3	NUM
ap-8428	232	61	is	be	AUX
ap-8428	232	62	l2c2	l2c2	NOUN
ap-8428	232	63	.	.	PUNCT
ap-8428	232	64	τ2	τ2	NOUN
ap-8428	232	65	4	4	NUM
ap-8428	232	66	observing	observe	VERB
ap-8428	232	67	the	the	DET
ap-8428	232	68	circuit	circuit	NOUN
ap-8428	232	69	through	through	ADP
ap-8428	232	70	port	port	NOUN
ap-8428	232	71	(	(	PUNCT
ap-8428	232	72	2	2	NUM
ap-8428	232	73	)	)	PUNCT
ap-8428	232	74	,	,	PUNCT
ap-8428	232	75	port	port	NOUN
ap-8428	232	76	(	(	PUNCT
ap-8428	232	77	4	4	NUM
ap-8428	232	78	)	)	PUNCT
ap-8428	232	79	is	be	AUX
ap-8428	232	80	considered	consider	VERB
ap-8428	232	81	in	in	ADP
ap-8428	232	82	high	high	ADJ
ap-8428	232	83	frequency	frequency	NOUN
ap-8428	232	84	state	state	NOUN
ap-8428	232	85	and	and	CCONJ
ap-8428	232	86	ports	port	NOUN
ap-8428	232	87	(	(	PUNCT
ap-8428	232	88	1	1	NUM
ap-8428	232	89	)	)	PUNCT
ap-8428	232	90	and	and	CCONJ
ap-8428	232	91	(	(	PUNCT
ap-8428	232	92	3	3	X
ap-8428	232	93	)	)	PUNCT
ap-8428	232	94	are	be	AUX
ap-8428	232	95	kept	keep	VERB
ap-8428	232	96	in	in	ADP
ap-8428	232	97	dc	dc	PROPN
ap-8428	232	98	condition	condition	NOUN
ap-8428	232	99	,	,	PUNCT
ap-8428	232	100	capacitor	capacitor	NOUN
ap-8428	232	101	of	of	ADP
ap-8428	232	102	port	port	NOUN
ap-8428	232	103	(	(	PUNCT
ap-8428	232	104	2	2	NUM
ap-8428	232	105	)	)	PUNCT
ap-8428	232	106	is	be	AUX
ap-8428	232	107	treated	treat	VERB
ap-8428	232	108	as	as	ADP
ap-8428	232	109	extra	extra	ADJ
ap-8428	232	110	element	element	NOUN
ap-8428	232	111	and	and	CCONJ
ap-8428	232	112	removed	remove	VERB
ap-8428	232	113	temporarily	temporarily	ADV
ap-8428	232	114	,	,	PUNCT
ap-8428	232	115	equivalent	equivalent	ADJ
ap-8428	232	116	resistance	resistance	NOUN
ap-8428	232	117	req	req	NOUN
ap-8428	232	118	is	be	AUX
ap-8428	232	119	r.	r.	PROPN
ap-8428	232	120	therefore	therefore	ADV
ap-8428	232	121	τ4τ	τ4τ	ADV
ap-8428	232	122	2	2	NUM
ap-8428	232	123	4	4	NUM
ap-8428	232	124	is	be	AUX
ap-8428	232	125	l1c2d	l1c2d	X
ap-8428	232	126	′2	′2	X
ap-8428	232	127	.	.	NOUN
ap-8428	232	128	table	table	NOUN
ap-8428	232	129	3	3	NUM
ap-8428	232	130	.	.	PUNCT
ap-8428	232	131	determination	determination	NOUN
ap-8428	232	132	of	of	ADP
ap-8428	232	133	(	(	PUNCT
ap-8428	232	134	τ	τ	PROPN
ap-8428	232	135	)	)	PUNCT
ap-8428	232	136	for	for	ADP
ap-8428	232	137	a2	a2	PROPN
ap-8428	232	138	.	.	PUNCT
ap-8428	233	1	the	the	DET
ap-8428	233	2	first	first	ADJ
ap-8428	233	3	two	two	NUM
ap-8428	233	4	terms	term	NOUN
ap-8428	233	5	and	and	CCONJ
ap-8428	233	6	last	last	ADJ
ap-8428	233	7	term	term	NOUN
ap-8428	233	8	of	of	ADP
ap-8428	233	9	the	the	DET
ap-8428	233	10	equation	equation	NOUN
ap-8428	233	11	(	(	PUNCT
ap-8428	233	12	30	30	NUM
ap-8428	233	13	)	)	PUNCT
ap-8428	233	14	are	be	AUX
ap-8428	233	15	zero	zero	NUM
ap-8428	233	16	.	.	PUNCT
ap-8428	234	1	to	to	PART
ap-8428	234	2	calculate	calculate	VERB
ap-8428	234	3	τ3	τ3	PROPN
ap-8428	234	4	41	41	NUM
ap-8428	234	5	,	,	PUNCT
ap-8428	234	6	the	the	DET
ap-8428	234	7	circuit	circuit	NOUN
ap-8428	234	8	in	in	ADP
ap-8428	234	9	figure	figure	NOUN
ap-8428	234	10	11	11	NUM
ap-8428	234	11	is	be	AUX
ap-8428	234	12	observed	observe	VERB
ap-8428	234	13	through	through	ADP
ap-8428	234	14	port	port	NOUN
ap-8428	234	15	(	(	PUNCT
ap-8428	234	16	3	3	NUM
ap-8428	234	17	)	)	PUNCT
ap-8428	234	18	,	,	PUNCT
ap-8428	234	19	while	while	SCONJ
ap-8428	234	20	ports	port	NOUN
ap-8428	234	21	(	(	PUNCT
ap-8428	234	22	1	1	NUM
ap-8428	234	23	)	)	PUNCT
ap-8428	234	24	and	and	CCONJ
ap-8428	234	25	(	(	PUNCT
ap-8428	234	26	4	4	X
ap-8428	234	27	)	)	PUNCT
ap-8428	234	28	are	be	AUX
ap-8428	234	29	kept	keep	VERB
ap-8428	234	30	in	in	ADP
ap-8428	234	31	a	a	DET
ap-8428	234	32	high	high	ADJ
ap-8428	234	33	frequency	frequency	NOUN
ap-8428	234	34	condition	condition	NOUN
ap-8428	234	35	.	.	PUNCT
ap-8428	235	1	here	here	ADV
ap-8428	235	2	req	req	NOUN
ap-8428	235	3	is	be	AUX
ap-8428	235	4	r	r	NOUN
ap-8428	235	5	which	which	PRON
ap-8428	235	6	results	result	VERB
ap-8428	235	7	in	in	ADP
ap-8428	235	8	τ3	τ3	NOUN
ap-8428	235	9	41	41	NUM
ap-8428	235	10	=	=	SYM
ap-8428	235	11	l3	l3	NUM
ap-8428	235	12	req	req	NOUN
ap-8428	236	1	=	=	PUNCT
ap-8428	236	2	l3	l3	PROPN
ap-8428	236	3	r	r	NOUN
ap-8428	236	4	.	.	PUNCT
ap-8428	237	1	hence	hence	ADV
ap-8428	237	2	,	,	PUNCT
ap-8428	237	3	a3	a3	NOUN
ap-8428	237	4	=	=	SYM
ap-8428	238	1	τ4τ	τ4τ	X
ap-8428	238	2	1	1	NUM
ap-8428	238	3	4	4	NUM
ap-8428	238	4	τ	τ	PROPN
ap-8428	238	5	3	3	NUM
ap-8428	238	6	41	41	NUM
ap-8428	238	7	=	=	PUNCT
ap-8428	238	8	l1l2c1	l1l2c1	ADJ
ap-8428	238	9	r	r	NOUN
ap-8428	238	10	.	.	PUNCT
ap-8428	239	1	(	(	PUNCT
ap-8428	239	2	31	31	NUM
ap-8428	239	3	)	)	PUNCT
ap-8428	239	4	figure	figure	NOUN
ap-8428	239	5	11	11	NUM
ap-8428	239	6	.	.	PUNCT
ap-8428	240	1	determination	determination	NOUN
ap-8428	240	2	of	of	ADP
ap-8428	240	3	τ3	τ3	NOUN
ap-8428	240	4	41	41	NUM
ap-8428	240	5	.	.	PUNCT
ap-8428	241	1	figure	figure	NOUN
ap-8428	241	2	12	12	NUM
ap-8428	241	3	.	.	PUNCT
ap-8428	242	1	determination	determination	NOUN
ap-8428	242	2	of	of	ADP
ap-8428	242	3	τ2	τ2	NOUN
ap-8428	242	4	413	413	NUM
ap-8428	242	5	.	.	PUNCT
ap-8428	243	1	for	for	ADP
ap-8428	243	2	the	the	DET
ap-8428	243	3	determination	determination	NOUN
ap-8428	243	4	of	of	ADP
ap-8428	243	5	a4	a4	NOUN
ap-8428	243	6	,	,	PUNCT
ap-8428	243	7	referring	refer	VERB
ap-8428	243	8	to	to	PART
ap-8428	243	9	figure	figure	VERB
ap-8428	243	10	12	12	NUM
ap-8428	243	11	,	,	PUNCT
ap-8428	243	12	τ2	τ2	NOUN
ap-8428	243	13	413	413	NUM
ap-8428	243	14	is	be	AUX
ap-8428	243	15	determined	determine	VERB
ap-8428	243	16	by	by	ADP
ap-8428	243	17	observing	observe	VERB
ap-8428	243	18	the	the	DET
ap-8428	243	19	circuit	circuit	NOUN
ap-8428	243	20	through	through	ADP
ap-8428	243	21	port	port	NOUN
ap-8428	243	22	(	(	PUNCT
ap-8428	243	23	2	2	NUM
ap-8428	243	24	)	)	PUNCT
ap-8428	243	25	,	,	PUNCT
ap-8428	243	26	while	while	SCONJ
ap-8428	243	27	ports	port	NOUN
ap-8428	243	28	(	(	PUNCT
ap-8428	243	29	4	4	NUM
ap-8428	243	30	)	)	PUNCT
ap-8428	243	31	,	,	PUNCT
ap-8428	243	32	(	(	PUNCT
ap-8428	243	33	1	1	X
ap-8428	243	34	)	)	PUNCT
ap-8428	243	35	and	and	CCONJ
ap-8428	243	36	(	(	PUNCT
ap-8428	243	37	3	3	X
ap-8428	243	38	)	)	PUNCT
ap-8428	243	39	are	be	AUX
ap-8428	243	40	kept	keep	VERB
ap-8428	243	41	in	in	ADP
ap-8428	243	42	high	high	ADJ
ap-8428	243	43	frequency	frequency	NOUN
ap-8428	243	44	condition	condition	NOUN
ap-8428	243	45	.	.	PUNCT
ap-8428	244	1	in	in	ADP
ap-8428	244	2	such	such	ADJ
ap-8428	244	3	situation	situation	NOUN
ap-8428	244	4	,	,	PUNCT
ap-8428	244	5	req	req	X
ap-8428	244	6	is	be	AUX
ap-8428	244	7	r	r	NOUN
ap-8428	244	8	and	and	CCONJ
ap-8428	244	9	τ2	τ2	NOUN
ap-8428	244	10	413	413	NUM
ap-8428	244	11	is	be	AUX
ap-8428	244	12	rc2	rc2	PROPN
ap-8428	244	13	.	.	PUNCT
ap-8428	245	1	the	the	DET
ap-8428	245	2	calculation	calculation	NOUN
ap-8428	245	3	of	of	ADP
ap-8428	245	4	the	the	DET
ap-8428	245	5	term	term	NOUN
ap-8428	245	6	(	(	PUNCT
ap-8428	245	7	τ4τ	τ4τ	ADV
ap-8428	245	8	1	1	NUM
ap-8428	245	9	4	4	NUM
ap-8428	245	10	τ	τ	PROPN
ap-8428	245	11	3	3	NUM
ap-8428	245	12	41τ	41τ	NOUN
ap-8428	245	13	2	2	NUM
ap-8428	245	14	413	413	NUM
ap-8428	245	15	)	)	PUNCT
ap-8428	245	16	results	result	NOUN
ap-8428	245	17	in	in	ADP
ap-8428	245	18	(	(	PUNCT
ap-8428	245	19	l1l2c1c2	l1l2c1c2	PROPN
ap-8428	245	20	)	)	PUNCT
ap-8428	245	21	.	.	PUNCT
ap-8428	246	1	hence	hence	ADV
ap-8428	246	2	,	,	PUNCT
ap-8428	246	3	a4	a4	PROPN
ap-8428	246	4	=	=	SYM
ap-8428	246	5	l1l2c1c2	l1l2c1c2	PROPN
ap-8428	246	6	.	.	PUNCT
ap-8428	247	1	(	(	PUNCT
ap-8428	247	2	32	32	NUM
ap-8428	247	3	)	)	PUNCT
ap-8428	247	4	using	use	VERB
ap-8428	247	5	equations	equation	NOUN
ap-8428	247	6	(	(	PUNCT
ap-8428	247	7	28	28	NUM
ap-8428	247	8	)	)	PUNCT
ap-8428	247	9	,	,	PUNCT
ap-8428	247	10	(	(	PUNCT
ap-8428	247	11	29	29	NUM
ap-8428	247	12	)	)	PUNCT
ap-8428	247	13	,	,	PUNCT
ap-8428	247	14	(	(	PUNCT
ap-8428	247	15	31	31	NUM
ap-8428	247	16	)	)	PUNCT
ap-8428	247	17	and	and	CCONJ
ap-8428	247	18	(	(	PUNCT
ap-8428	247	19	32	32	NUM
ap-8428	247	20	)	)	PUNCT
ap-8428	247	21	in	in	ADP
ap-8428	247	22	equation	equation	NOUN
ap-8428	247	23	(	(	PUNCT
ap-8428	247	24	26	26	NUM
ap-8428	247	25	)	)	PUNCT
ap-8428	247	26	,	,	PUNCT
ap-8428	247	27	the	the	DET
ap-8428	247	28	denominator	denominator	NOUN
ap-8428	247	29	of	of	ADP
ap-8428	247	30	control	control	NOUN
ap-8428	247	31	to	to	ADP
ap-8428	247	32	output	output	NOUN
ap-8428	247	33	transfer	transfer	NOUN
ap-8428	247	34	function	function	NOUN
ap-8428	247	35	of	of	ADP
ap-8428	247	36	complex	complex	ADJ
ap-8428	247	37	cbc	cbc	NOUN
ap-8428	247	38	becomes	become	VERB
ap-8428	247	39	,	,	PUNCT
ap-8428	247	40	d̂(s	d̂(s	ADV
ap-8428	247	41	)	)	PUNCT
ap-8428	247	42	=	=	SYM
ap-8428	247	43	1	1	NUM
ap-8428	247	44	+	+	CCONJ
ap-8428	247	45	(	(	PUNCT
ap-8428	247	46	l2	l2	NOUN
ap-8428	247	47	r	r	NOUN
ap-8428	247	48	+	+	CCONJ
ap-8428	247	49	l1d	l1d	NOUN
ap-8428	247	50	′2	′2	PROPN
ap-8428	247	51	r	r	NOUN
ap-8428	247	52	)	)	PUNCT
ap-8428	247	53	s+	s+	X
ap-8428	247	54	(	(	PUNCT
ap-8428	247	55	l1c1	l1c1	NOUN
ap-8428	248	1	+	+	X
ap-8428	248	2	l2c2	l2c2	X
ap-8428	248	3	+	+	NOUN
ap-8428	248	4	l1c2d	l1c2d	NUM
ap-8428	248	5	′2)s2	′2)s2	VERB
ap-8428	248	6	+	+	CCONJ
ap-8428	248	7	(	(	PUNCT
ap-8428	248	8	l1l2c1	l1l2c1	ADJ
ap-8428	248	9	r	r	NOUN
ap-8428	248	10	)	)	PUNCT
ap-8428	248	11	s3	s3	PROPN
ap-8428	248	12	+	+	CCONJ
ap-8428	248	13	l1l2c1c2s	l1l2c1c2s	PROPN
ap-8428	248	14	4	4	NUM
ap-8428	248	15	.	.	PUNCT
ap-8428	248	16	(	(	PUNCT
ap-8428	248	17	33	33	NUM
ap-8428	248	18	)	)	PUNCT
ap-8428	248	19	now	now	ADV
ap-8428	248	20	,	,	PUNCT
ap-8428	248	21	the	the	DET
ap-8428	248	22	excitation	excitation	NOUN
ap-8428	248	23	applied	apply	VERB
ap-8428	248	24	to	to	ADP
ap-8428	248	25	the	the	DET
ap-8428	248	26	port	port	NOUN
ap-8428	248	27	is	be	AUX
ap-8428	248	28	retained	retain	VERB
ap-8428	248	29	as	as	SCONJ
ap-8428	248	30	it	it	PRON
ap-8428	248	31	is	be	AUX
ap-8428	248	32	and	and	CCONJ
ap-8428	248	33	additional	additional	ADJ
ap-8428	248	34	excitation	excitation	NOUN
ap-8428	248	35	is	be	AUX
ap-8428	248	36	applied	apply	VERB
ap-8428	248	37	to	to	ADP
ap-8428	248	38	the	the	DET
ap-8428	248	39	port	port	NOUN
ap-8428	248	40	of	of	ADP
ap-8428	248	41	the	the	DET
ap-8428	248	42	extra	extra	ADJ
ap-8428	248	43	element	element	NOUN
ap-8428	248	44	with	with	ADP
ap-8428	248	45	the	the	DET
ap-8428	248	46	extra	extra	ADJ
ap-8428	248	47	element	element	NOUN
ap-8428	248	48	removed	remove	VERB
ap-8428	248	49	.	.	PUNCT
ap-8428	249	1	with	with	ADP
ap-8428	249	2	these	these	DET
ap-8428	249	3	two	two	NUM
ap-8428	249	4	excitations	excitation	NOUN
ap-8428	249	5	,	,	PUNCT
ap-8428	249	6	the	the	DET
ap-8428	249	7	response	response	NOUN
ap-8428	249	8	is	be	AUX
ap-8428	249	9	considered	consider	VERB
ap-8428	249	10	as	as	ADP
ap-8428	249	11	null	null	NOUN
ap-8428	249	12	.	.	PUNCT
ap-8428	250	1	simultaneously	simultaneously	ADV
ap-8428	250	2	,	,	PUNCT
ap-8428	250	3	the	the	DET
ap-8428	250	4	conversion	conversion	NOUN
ap-8428	250	5	ratio	ratio	NOUN
ap-8428	250	6	d2	d2	PROPN
ap-8428	250	7	is	be	AUX
ap-8428	250	8	differentiated	differentiate	VERB
ap-8428	250	9	with	with	ADP
ap-8428	250	10	respect	respect	NOUN
ap-8428	250	11	to	to	ADP
ap-8428	250	12	d.	d.	NOUN
ap-8428	250	13	considering	consider	VERB
ap-8428	250	14	this	this	DET
ap-8428	250	15	differentiation	differentiation	NOUN
ap-8428	250	16	and	and	CCONJ
ap-8428	250	17	null	null	ADJ
ap-8428	250	18	response	response	NOUN
ap-8428	250	19	condition	condition	NOUN
ap-8428	250	20	altogether	altogether	ADV
ap-8428	250	21	,	,	PUNCT
ap-8428	250	22	the	the	DET
ap-8428	250	23	numerator	numerator	NOUN
ap-8428	250	24	of	of	ADP
ap-8428	250	25	transfer	transfer	NOUN
ap-8428	250	26	function	function	NOUN
ap-8428	250	27	is	be	AUX
ap-8428	250	28	determined	determine	VERB
ap-8428	250	29	.	.	PUNCT
ap-8428	251	1	59	59	NUM
ap-8428	251	2	sangeeta	sangeeta	PROPN
ap-8428	251	3	shete	shete	PROPN
ap-8428	251	4	,	,	PUNCT
ap-8428	251	5	prasad	prasad	PROPN
ap-8428	251	6	joshi	joshi	PROPN
ap-8428	251	7	acta	acta	PROPN
ap-8428	251	8	polytechnica	polytechnica	PROPN
ap-8428	251	9	figure	figure	NOUN
ap-8428	251	10	13	13	NUM
ap-8428	251	11	.	.	PUNCT
ap-8428	252	1	null	null	ADJ
ap-8428	252	2	condition	condition	NOUN
ap-8428	252	3	at	at	ADP
ap-8428	252	4	the	the	DET
ap-8428	252	5	output	output	NOUN
ap-8428	252	6	of	of	ADP
ap-8428	252	7	complex	complex	ADJ
ap-8428	252	8	cbc	cbc	NOUN
ap-8428	252	9	for	for	ADP
ap-8428	252	10	determination	determination	NOUN
ap-8428	252	11	of	of	ADP
ap-8428	252	12	numerator	numerator	NOUN
ap-8428	252	13	.	.	PUNCT
ap-8428	253	1	by	by	ADP
ap-8428	253	2	considering	consider	VERB
ap-8428	253	3	a	a	DET
ap-8428	253	4	null	null	ADJ
ap-8428	253	5	response	response	NOUN
ap-8428	253	6	at	at	ADP
ap-8428	253	7	the	the	DET
ap-8428	253	8	output	output	NOUN
ap-8428	253	9	of	of	ADP
ap-8428	253	10	complex	complex	ADJ
ap-8428	253	11	cbc	cbc	NOUN
ap-8428	253	12	(	(	PUNCT
ap-8428	253	13	figure	figure	NOUN
ap-8428	253	14	13	13	NUM
ap-8428	253	15	)	)	PUNCT
ap-8428	253	16	,	,	PUNCT
ap-8428	253	17	it	it	PRON
ap-8428	253	18	is	be	AUX
ap-8428	253	19	observed	observe	VERB
ap-8428	253	20	that	that	SCONJ
ap-8428	253	21	the	the	DET
ap-8428	253	22	presence	presence	NOUN
ap-8428	253	23	of	of	ADP
ap-8428	253	24	ı̂l2(s	ı̂l2(s	PROPN
ap-8428	253	25	)	)	PUNCT
ap-8428	253	26	creates	create	VERB
ap-8428	253	27	the	the	DET
ap-8428	253	28	condition	condition	NOUN
ap-8428	253	29	as	as	SCONJ
ap-8428	253	30	represented	represent	VERB
ap-8428	253	31	by	by	ADP
ap-8428	253	32	the	the	DET
ap-8428	253	33	equation	equation	NOUN
ap-8428	253	34	,	,	PUNCT
ap-8428	253	35	ı̂p2(s	ı̂p2(s	PROPN
ap-8428	253	36	)	)	PUNCT
ap-8428	254	1	=	=	SYM
ap-8428	254	2	ı̂c2d̂(s	ı̂c2d̂(s	NUM
ap-8428	254	3	)	)	PUNCT
ap-8428	254	4	and	and	CCONJ
ap-8428	254	5	the	the	DET
ap-8428	254	6	resultant	resultant	NOUN
ap-8428	254	7	voltage	voltage	NOUN
ap-8428	254	8	across	across	ADP
ap-8428	254	9	c1	c1	PROPN
ap-8428	254	10	is	be	AUX
ap-8428	254	11	,	,	PUNCT
ap-8428	254	12	v̂c1(s	v̂c1(s	PROPN
ap-8428	254	13	)	)	PUNCT
ap-8428	254	14	=	=	SYM
ap-8428	255	1	vapd̂	vapd̂	X
ap-8428	255	2	(	(	PUNCT
ap-8428	255	3	1/(sc1	1/(sc1	NUM
ap-8428	255	4	)	)	PUNCT
ap-8428	255	5	(	(	PUNCT
ap-8428	255	6	sl1	sl1	PROPN
ap-8428	255	7	+	+	CCONJ
ap-8428	255	8	1	1	NUM
ap-8428	255	9	/	/	SYM
ap-8428	255	10	sc1	sc1	NOUN
ap-8428	255	11	)	)	PUNCT
ap-8428	255	12	+	+	CCONJ
ap-8428	256	1	ic2d̂	ic2d̂	X
ap-8428	256	2	[	[	X
ap-8428	256	3	sl1||(1	sl1||(1	NOUN
ap-8428	256	4	/	/	SYM
ap-8428	256	5	sc1	sc1	NOUN
ap-8428	256	6	)	)	PUNCT
ap-8428	256	7	]	]	PUNCT
ap-8428	256	8	.	.	PUNCT
ap-8428	257	1	(	(	PUNCT
ap-8428	257	2	34	34	NUM
ap-8428	257	3	)	)	PUNCT
ap-8428	257	4	this	this	DET
ap-8428	257	5	voltage	voltage	NOUN
ap-8428	257	6	must	must	AUX
ap-8428	257	7	be	be	AUX
ap-8428	257	8	the	the	DET
ap-8428	257	9	same	same	ADJ
ap-8428	257	10	as	as	ADP
ap-8428	257	11	that	that	PRON
ap-8428	257	12	of	of	ADP
ap-8428	257	13	d	d	DET
ap-8428	257	14	side	side	NOUN
ap-8428	257	15	of	of	ADP
ap-8428	257	16	the	the	DET
ap-8428	257	17	second	second	ADJ
ap-8428	257	18	pwm	pwm	NOUN
ap-8428	257	19	switch	switch	NOUN
ap-8428	257	20	.	.	PUNCT
ap-8428	258	1	hence	hence	ADV
ap-8428	258	2	,	,	PUNCT
ap-8428	258	3	v̂c1(s	v̂c1(s	PROPN
ap-8428	258	4	)	)	PUNCT
ap-8428	258	5	=	=	SYM
ap-8428	259	1	−	−	PROPN
ap-8428	259	2	[	[	PUNCT
ap-8428	259	3	vap2	vap2	PROPN
ap-8428	259	4	d	d	PROPN
ap-8428	259	5	d̂−	d̂−	PROPN
ap-8428	259	6	v̂c1(s	v̂c1(s	PROPN
ap-8428	259	7	)	)	PUNCT
ap-8428	259	8	]	]	PUNCT
ap-8428	260	1	d.	d.	PROPN
ap-8428	260	2	(	(	PUNCT
ap-8428	260	3	35	35	NUM
ap-8428	260	4	)	)	PUNCT
ap-8428	260	5	from	from	ADP
ap-8428	260	6	equations	equation	NOUN
ap-8428	260	7	(	(	PUNCT
ap-8428	260	8	34	34	NUM
ap-8428	260	9	)	)	PUNCT
ap-8428	260	10	and	and	CCONJ
ap-8428	260	11	(	(	PUNCT
ap-8428	260	12	35	35	NUM
ap-8428	260	13	)	)	PUNCT
ap-8428	260	14	,	,	PUNCT
ap-8428	260	15	d	d	NOUN
ap-8428	260	16	′	′	NUM
ap-8428	260	17	vap1	vap1	NOUN
ap-8428	260	18	1	1	NUM
ap-8428	260	19	1	1	NUM
ap-8428	260	20	+	+	NUM
ap-8428	260	21	s2l1c1	s2l1c1	NOUN
ap-8428	261	1	+	+	ADJ
ap-8428	261	2	d	d	NOUN
ap-8428	261	3	′	′	NOUN
ap-8428	261	4	ic2	ic2	NOUN
ap-8428	261	5	sl1	sl1	PROPN
ap-8428	261	6	1	1	NUM
ap-8428	261	7	+	+	NUM
ap-8428	261	8	s2l1c1	s2l1c1	NOUN
ap-8428	261	9	+	+	CCONJ
ap-8428	261	10	vap2	vap2	NOUN
ap-8428	261	11	=	=	SYM
ap-8428	261	12	0	0	PROPN
ap-8428	261	13	.	.	PUNCT
ap-8428	262	1	(	(	PUNCT
ap-8428	262	2	36	36	NUM
ap-8428	262	3	)	)	PUNCT
ap-8428	262	4	which	which	PRON
ap-8428	262	5	yields	yield	VERB
ap-8428	262	6	the	the	DET
ap-8428	262	7	numerator	numerator	NOUN
ap-8428	262	8	of	of	ADP
ap-8428	262	9	the	the	DET
ap-8428	262	10	control	control	NOUN
ap-8428	262	11	to	to	PART
ap-8428	262	12	output	output	NOUN
ap-8428	262	13	transfer	transfer	NOUN
ap-8428	262	14	function	function	NOUN
ap-8428	262	15	of	of	ADP
ap-8428	262	16	complex	complex	ADJ
ap-8428	262	17	cbc	cbc	NOUN
ap-8428	262	18	as	as	SCONJ
ap-8428	262	19	given	give	VERB
ap-8428	262	20	by	by	ADP
ap-8428	262	21	,	,	PUNCT
ap-8428	262	22	v̂2(s	v̂2(s	NOUN
ap-8428	262	23	)	)	PUNCT
ap-8428	262	24	=	=	SYM
ap-8428	263	1	1	1	NUM
ap-8428	263	2	+	+	NUM
ap-8428	264	1	sl1	sl1	PROPN
ap-8428	264	2	dd	dd	NOUN
ap-8428	264	3	′	′	NUM
ap-8428	264	4	2r	2r	NUM
ap-8428	265	1	+	+	PUNCT
ap-8428	265	2	s2l1c1	s2l1c1	NOUN
ap-8428	265	3	1	1	NUM
ap-8428	265	4	+	+	NOUN
ap-8428	265	5	d	d	X
ap-8428	265	6	2d	2d	NUM
ap-8428	265	7	.	.	PUNCT
ap-8428	266	1	(	(	PUNCT
ap-8428	266	2	37	37	NUM
ap-8428	266	3	)	)	PUNCT
ap-8428	266	4	using	use	VERB
ap-8428	266	5	equations	equation	NOUN
ap-8428	266	6	(	(	PUNCT
ap-8428	266	7	33	33	NUM
ap-8428	266	8	)	)	PUNCT
ap-8428	266	9	and	and	CCONJ
ap-8428	266	10	(	(	PUNCT
ap-8428	266	11	37	37	NUM
ap-8428	266	12	)	)	PUNCT
ap-8428	266	13	,	,	PUNCT
ap-8428	266	14	the	the	DET
ap-8428	266	15	overall	overall	ADJ
ap-8428	266	16	transfer	transfer	NOUN
ap-8428	266	17	function	function	NOUN
ap-8428	266	18	of	of	ADP
ap-8428	266	19	complex	complex	ADJ
ap-8428	266	20	cbc	cbc	NOUN
ap-8428	266	21	is	be	AUX
ap-8428	266	22	given	give	VERB
ap-8428	266	23	by	by	ADP
ap-8428	266	24	the	the	DET
ap-8428	266	25	equation	equation	NOUN
ap-8428	266	26	(	(	PUNCT
ap-8428	266	27	38	38	NUM
ap-8428	266	28	):	):	PUNCT
ap-8428	266	29	v̂2(s	v̂2(s	NOUN
ap-8428	266	30	)	)	PUNCT
ap-8428	266	31	d̂(s	d̂(s	NOUN
ap-8428	266	32	)	)	PUNCT
ap-8428	266	33	=	=	SYM
ap-8428	266	34	(	(	PUNCT
ap-8428	266	35	1	1	NUM
ap-8428	266	36	+	+	NUM
ap-8428	266	37	sl1	sl1	PROPN
ap-8428	266	38	(	(	PUNCT
ap-8428	266	39	dd	dd	VERB
ap-8428	266	40	′	′	NUM
ap-8428	266	41	2r	2r	NUM
ap-8428	266	42	)	)	PUNCT
ap-8428	267	1	+	+	CCONJ
ap-8428	267	2	s2l1c1	s2l1c1	NOUN
ap-8428	267	3	(	(	PUNCT
ap-8428	267	4	1+d	1+d	NUM
ap-8428	267	5	2d	2d	NOUN
ap-8428	267	6	)	)	PUNCT
ap-8428	267	7	)	)	PUNCT
ap-8428	267	8	1	1	NUM
ap-8428	268	1	+	+	SYM
ap-8428	268	2	s	s	X
ap-8428	268	3	(	(	PUNCT
ap-8428	268	4	l2+d′2l1	l2+d′2l1	NOUN
ap-8428	268	5	r	r	NOUN
ap-8428	268	6	)	)	PUNCT
ap-8428	269	1	+	+	CCONJ
ap-8428	269	2	s2[l2c2	s2[l2c2	PROPN
ap-8428	269	3	+	+	PUNCT
ap-8428	269	4	l1c1	l1c1	NOUN
ap-8428	269	5	+	+	CCONJ
ap-8428	269	6	l1c2d	l1c2d	X
ap-8428	269	7	′2	′2	NOUN
ap-8428	269	8	]	]	X
ap-8428	269	9	+	+	CCONJ
ap-8428	269	10	s3	s3	PROPN
ap-8428	269	11	(	(	PUNCT
ap-8428	269	12	l1l2c1	l1l2c1	ADJ
ap-8428	269	13	r	r	NOUN
ap-8428	269	14	)	)	PUNCT
ap-8428	269	15	+	+	CCONJ
ap-8428	269	16	s4(l1l2c1c2	s4(l1l2c1c2	X
ap-8428	269	17	)	)	PUNCT
ap-8428	269	18	.	.	PUNCT
ap-8428	270	1	(	(	PUNCT
ap-8428	270	2	38	38	NUM
ap-8428	270	3	)	)	PUNCT
ap-8428	270	4	3	3	NUM
ap-8428	270	5	.	.	X
ap-8428	270	6	simulation	simulation	NOUN
ap-8428	270	7	of	of	ADP
ap-8428	270	8	complex	complex	ADJ
ap-8428	270	9	cbc	cbc	NOUN
ap-8428	270	10	the	the	DET
ap-8428	270	11	simulation	simulation	NOUN
ap-8428	270	12	circuit	circuit	NOUN
ap-8428	270	13	is	be	AUX
ap-8428	270	14	developed	develop	VERB
ap-8428	270	15	;	;	PUNCT
ap-8428	270	16	voltage	voltage	NOUN
ap-8428	270	17	and	and	CCONJ
ap-8428	270	18	current	current	ADJ
ap-8428	270	19	graphs	graph	NOUN
ap-8428	270	20	(	(	PUNCT
ap-8428	270	21	figure	figure	NOUN
ap-8428	270	22	14	14	NUM
ap-8428	270	23	)	)	PUNCT
ap-8428	270	24	,	,	PUNCT
ap-8428	270	25	time	time	NOUN
ap-8428	270	26	response	response	NOUN
ap-8428	270	27	(	(	PUNCT
ap-8428	270	28	figure	figure	NOUN
ap-8428	270	29	15	15	NUM
ap-8428	270	30	)	)	PUNCT
ap-8428	270	31	and	and	CCONJ
ap-8428	270	32	frequency	frequency	NOUN
ap-8428	270	33	response	response	NOUN
ap-8428	270	34	plot	plot	NOUN
ap-8428	270	35	(	(	PUNCT
ap-8428	270	36	figure	figure	NOUN
ap-8428	270	37	16	16	NUM
ap-8428	270	38	)	)	PUNCT
ap-8428	270	39	are	be	AUX
ap-8428	270	40	obtained	obtain	VERB
ap-8428	270	41	for	for	ADP
ap-8428	270	42	complex	complex	ADJ
ap-8428	270	43	cbc	cbc	NOUN
ap-8428	270	44	using	use	VERB
ap-8428	270	45	matlab	matlab	PROPN
ap-8428	270	46	simulation	simulation	NOUN
ap-8428	270	47	to	to	PART
ap-8428	270	48	study	study	VERB
ap-8428	270	49	the	the	DET
ap-8428	270	50	behaviour	behaviour	NOUN
ap-8428	270	51	of	of	ADP
ap-8428	270	52	cbc	cbc	PROPN
ap-8428	270	53	.	.	PUNCT
ap-8428	271	1	the	the	DET
ap-8428	271	2	circuit	circuit	NOUN
ap-8428	271	3	parameters	parameter	NOUN
ap-8428	271	4	for	for	ADP
ap-8428	271	5	the	the	DET
ap-8428	271	6	simulation	simulation	NOUN
ap-8428	271	7	are	be	AUX
ap-8428	271	8	selected	select	VERB
ap-8428	271	9	as	as	ADP
ap-8428	271	10	:	:	PUNCT
ap-8428	271	11	inductors	inductor	NOUN
ap-8428	271	12	l1	l1	PROPN
ap-8428	271	13	=	=	SYM
ap-8428	271	14	524µh	524µh	PROPN
ap-8428	271	15	,	,	PUNCT
ap-8428	271	16	l2	l2	NOUN
ap-8428	271	17	=	=	SYM
ap-8428	271	18	1200µh	1200µh	NOUN
ap-8428	271	19	,	,	PUNCT
ap-8428	271	20	capacitors	capacitor	NOUN
ap-8428	271	21	c1	c1	NOUN
ap-8428	271	22	=	=	PUNCT
ap-8428	271	23	c2=	c2=	PROPN
ap-8428	271	24	5µf	5µf	NOUN
ap-8428	271	25	,	,	PUNCT
ap-8428	271	26	output	output	NOUN
ap-8428	271	27	resistance	resistance	NOUN
ap-8428	271	28	r0	r0	NOUN
ap-8428	271	29	=	=	PROPN
ap-8428	271	30	8.05	8.05	NUM
ap-8428	271	31	ohm	ohm	NOUN
ap-8428	271	32	,	,	PUNCT
ap-8428	271	33	switch	switch	NOUN
ap-8428	271	34	(	(	PUNCT
ap-8428	271	35	q1	q1	NOUN
ap-8428	271	36	)	)	PUNCT
ap-8428	271	37	parameters	parameter	NOUN
ap-8428	271	38	:	:	PUNCT
ap-8428	271	39	fet	fet	NOUN
ap-8428	271	40	on	on	ADP
ap-8428	271	41	resistance	resistance	NOUN
ap-8428	271	42	=	=	SYM
ap-8428	271	43	0.1ω	0.1ω	PROPN
ap-8428	271	44	,	,	PUNCT
ap-8428	271	45	internal	internal	ADJ
ap-8428	271	46	diode	diode	NOUN
ap-8428	271	47	resistance	resistance	NOUN
ap-8428	271	48	=	=	SYM
ap-8428	271	49	0.01ω	0.01ω	NUM
ap-8428	271	50	,	,	PUNCT
ap-8428	271	51	internal	internal	ADJ
ap-8428	271	52	diode	diode	NOUN
ap-8428	271	53	forward	forward	ADV
ap-8428	271	54	voltage	voltage	NOUN
ap-8428	271	55	=	=	NOUN
ap-8428	271	56	0.7v	0.7v	NOUN
ap-8428	271	57	,	,	PUNCT
ap-8428	271	58	diode	diode	NOUN
ap-8428	271	59	(	(	PUNCT
ap-8428	271	60	d1	d1	PROPN
ap-8428	271	61	,	,	PUNCT
ap-8428	271	62	d2	d2	PROPN
ap-8428	271	63	,	,	PUNCT
ap-8428	271	64	d3	d3	PROPN
ap-8428	271	65	)	)	PUNCT
ap-8428	271	66	parameters	parameter	NOUN
ap-8428	271	67	:	:	PUNCT
ap-8428	272	1	resistance	resistance	NOUN
ap-8428	272	2	=	=	SYM
ap-8428	272	3	0.01ω	0.01ω	PROPN
ap-8428	272	4	,	,	PUNCT
ap-8428	272	5	forward	forward	ADV
ap-8428	272	6	voltage	voltage	NOUN
ap-8428	272	7	=	=	SYM
ap-8428	272	8	0.8v	0.8v	NOUN
ap-8428	272	9	,	,	PUNCT
ap-8428	272	10	switching	switch	VERB
ap-8428	272	11	frequency	frequency	NOUN
ap-8428	272	12	=	=	SYM
ap-8428	272	13	50khz	50khz	NOUN
ap-8428	272	14	.	.	PUNCT
ap-8428	273	1	for	for	ADP
ap-8428	273	2	a	a	DET
ap-8428	273	3	duty	duty	NOUN
ap-8428	273	4	ratio	ratio	NOUN
ap-8428	273	5	of	of	ADP
ap-8428	273	6	0.35	0.35	NUM
ap-8428	273	7	,	,	PUNCT
ap-8428	273	8	input	input	NOUN
ap-8428	273	9	voltage	voltage	NOUN
ap-8428	273	10	v1	v1	NOUN
ap-8428	273	11	=	=	SYM
ap-8428	273	12	25v	25v	NOUN
ap-8428	273	13	,	,	PUNCT
ap-8428	273	14	and	and	CCONJ
ap-8428	273	15	source	source	VERB
ap-8428	273	16	current	current	ADJ
ap-8428	273	17	=	=	SYM
ap-8428	273	18	0.05746a	0.05746a	NOUN
ap-8428	273	19	,	,	PUNCT
ap-8428	273	20	output	output	NOUN
ap-8428	273	21	voltage	voltage	NOUN
ap-8428	273	22	v2	v2	PROPN
ap-8428	273	23	=	=	SYM
ap-8428	273	24	3v	3v	NUM
ap-8428	273	25	and	and	CCONJ
ap-8428	273	26	load	load	VERB
ap-8428	273	27	current	current	ADJ
ap-8428	273	28	=	=	PUNCT
ap-8428	273	29	0.367a	0.367a	NOUN
ap-8428	273	30	was	be	AUX
ap-8428	273	31	observed	observe	VERB
ap-8428	273	32	(	(	PUNCT
ap-8428	273	33	figure	figure	NOUN
ap-8428	273	34	14	14	NUM
ap-8428	273	35	)	)	PUNCT
ap-8428	273	36	.	.	PUNCT
ap-8428	274	1	also	also	ADV
ap-8428	274	2	output	output	VERB
ap-8428	274	3	voltage	voltage	NOUN
ap-8428	274	4	and	and	CCONJ
ap-8428	274	5	load	load	VERB
ap-8428	274	6	currents	current	NOUN
ap-8428	274	7	for	for	ADP
ap-8428	274	8	different	different	ADJ
ap-8428	274	9	duty	duty	NOUN
ap-8428	274	10	ratios	ratio	NOUN
ap-8428	274	11	of	of	ADP
ap-8428	274	12	complex	complex	ADJ
ap-8428	274	13	cbc	cbc	NOUN
ap-8428	274	14	are	be	AUX
ap-8428	274	15	depicted	depict	VERB
ap-8428	274	16	in	in	ADP
ap-8428	274	17	table	table	NOUN
ap-8428	274	18	4	4	NUM
ap-8428	274	19	.	.	PUNCT
ap-8428	274	20	from	from	ADP
ap-8428	274	21	the	the	DET
ap-8428	274	22	transient	transient	ADJ
ap-8428	274	23	and	and	CCONJ
ap-8428	274	24	steady	steady	ADJ
ap-8428	274	25	state	state	NOUN
ap-8428	274	26	response	response	NOUN
ap-8428	274	27	,	,	PUNCT
ap-8428	274	28	it	it	PRON
ap-8428	274	29	is	be	AUX
ap-8428	274	30	observed	observe	VERB
ap-8428	274	31	that	that	SCONJ
ap-8428	274	32	the	the	DET
ap-8428	274	33	output	output	NOUN
ap-8428	274	34	voltage	voltage	NOUN
ap-8428	274	35	has	have	AUX
ap-8428	274	36	settled	settle	VERB
ap-8428	274	37	to	to	ADP
ap-8428	274	38	about	about	ADV
ap-8428	274	39	3	3	NUM
ap-8428	274	40	volts	volt	NOUN
ap-8428	274	41	with	with	ADP
ap-8428	274	42	the	the	DET
ap-8428	274	43	settling	settling	NOUN
ap-8428	274	44	time	time	NOUN
ap-8428	274	45	of	of	ADP
ap-8428	274	46	approximately	approximately	ADV
ap-8428	274	47	0.9ms	0.9m	VERB
ap-8428	274	48	after	after	ADP
ap-8428	274	49	the	the	DET
ap-8428	274	50	application	application	NOUN
ap-8428	274	51	of	of	ADP
ap-8428	274	52	input	input	NOUN
ap-8428	274	53	voltage	voltage	NOUN
ap-8428	274	54	.	.	PUNCT
ap-8428	275	1	the	the	DET
ap-8428	275	2	system	system	NOUN
ap-8428	275	3	is	be	AUX
ap-8428	275	4	stable	stable	ADJ
ap-8428	275	5	(	(	PUNCT
ap-8428	275	6	figure	figure	NOUN
ap-8428	275	7	16	16	NUM
ap-8428	275	8	)	)	PUNCT
ap-8428	275	9	,	,	PUNCT
ap-8428	275	10	as	as	SCONJ
ap-8428	275	11	gain	gain	NOUN
ap-8428	275	12	margin	margin	NOUN
ap-8428	275	13	is	be	AUX
ap-8428	275	14	positive	positive	ADJ
ap-8428	275	15	(	(	PUNCT
ap-8428	275	16	∞db	∞db	NOUN
ap-8428	275	17	)	)	PUNCT
ap-8428	275	18	and	and	CCONJ
ap-8428	275	19	phase	phase	NOUN
ap-8428	275	20	margin	margin	NOUN
ap-8428	275	21	is	be	AUX
ap-8428	275	22	also	also	ADV
ap-8428	275	23	positive	positive	ADJ
ap-8428	275	24	(	(	PUNCT
ap-8428	275	25	450	450	NUM
ap-8428	275	26	°	°	NUM
ap-8428	275	27	)	)	PUNCT
ap-8428	275	28	.	.	PUNCT
ap-8428	276	1	60	60	NUM
ap-8428	276	2	vol	vol	NOUN
ap-8428	276	3	.	.	PUNCT
ap-8428	276	4	63	63	NUM
ap-8428	276	5	no	no	NOUN
ap-8428	276	6	.	.	PUNCT
ap-8428	277	1	1/2023	1/2023	NUM
ap-8428	277	2	comparative	comparative	ADJ
ap-8428	277	3	study	study	NOUN
ap-8428	277	4	of	of	ADP
ap-8428	277	5	state	state	NOUN
ap-8428	277	6	space	space	NOUN
ap-8428	277	7	averaging	averaging	NOUN
ap-8428	277	8	and	and	CCONJ
ap-8428	277	9	pwm	pwm	NOUN
ap-8428	277	10	.	.	PUNCT
ap-8428	277	11	.	.	PUNCT
ap-8428	277	12	.	.	PUNCT
ap-8428	278	1	figure	figure	VERB
ap-8428	278	2	14	14	NUM
ap-8428	278	3	.	.	PUNCT
ap-8428	279	1	voltage	voltage	NOUN
ap-8428	279	2	and	and	CCONJ
ap-8428	279	3	current	current	ADJ
ap-8428	279	4	graphs	graph	NOUN
ap-8428	279	5	of	of	ADP
ap-8428	279	6	complex	complex	ADJ
ap-8428	279	7	cbc	cbc	NOUN
ap-8428	279	8	.	.	PUNCT
ap-8428	280	1	figure	figure	VERB
ap-8428	280	2	15	15	NUM
ap-8428	280	3	.	.	PUNCT
ap-8428	281	1	transient	transient	VERB
ap-8428	281	2	and	and	CCONJ
ap-8428	281	3	steady	steady	ADJ
ap-8428	281	4	state	state	NOUN
ap-8428	281	5	response	response	NOUN
ap-8428	281	6	of	of	ADP
ap-8428	281	7	complex	complex	ADJ
ap-8428	281	8	cbc	cbc	NOUN
ap-8428	281	9	.	.	PUNCT
ap-8428	282	1	figure	figure	NOUN
ap-8428	282	2	16	16	NUM
ap-8428	282	3	.	.	PUNCT
ap-8428	283	1	bode	bode	VERB
ap-8428	283	2	plot	plot	NOUN
ap-8428	283	3	of	of	ADP
ap-8428	283	4	control	control	NOUN
ap-8428	283	5	to	to	ADP
ap-8428	283	6	output	output	NOUN
ap-8428	283	7	transfer	transfer	NOUN
ap-8428	283	8	function	function	NOUN
ap-8428	283	9	of	of	ADP
ap-8428	283	10	complex	complex	ADJ
ap-8428	283	11	cbc	cbc	NOUN
ap-8428	283	12	.	.	PUNCT
ap-8428	284	1	61	61	NUM
ap-8428	284	2	sangeeta	sangeeta	PROPN
ap-8428	284	3	shete	shete	PROPN
ap-8428	284	4	,	,	PUNCT
ap-8428	284	5	prasad	prasad	PROPN
ap-8428	284	6	joshi	joshi	PROPN
ap-8428	284	7	acta	acta	PROPN
ap-8428	284	8	polytechnica	polytechnica	PROPN
ap-8428	284	9	duty	duty	PROPN
ap-8428	284	10	ratio	ratio	PROPN
ap-8428	284	11	output	output	NOUN
ap-8428	284	12	voltage	voltage	NOUN
ap-8428	284	13	[	[	X
ap-8428	284	14	v	v	NOUN
ap-8428	284	15	]	]	PUNCT
ap-8428	284	16	load	load	NOUN
ap-8428	284	17	current	current	ADJ
ap-8428	284	18	[	[	X
ap-8428	284	19	a	a	X
ap-8428	284	20	]	]	X
ap-8428	284	21	0.3	0.3	NUM
ap-8428	284	22	2.47	2.47	NUM
ap-8428	284	23	0.3076	0.3076	NUM
ap-8428	284	24	0.4	0.4	NUM
ap-8428	284	25	3.434	3.434	NUM
ap-8428	284	26	0.4266	0.4266	NUM
ap-8428	284	27	0.5	0.5	NUM
ap-8428	284	28	5.44	5.44	NUM
ap-8428	284	29	0.6762	0.6762	NUM
ap-8428	284	30	0.6	0.6	NUM
ap-8428	284	31	8.601	8.601	NUM
ap-8428	284	32	1.068	1.068	NUM
ap-8428	284	33	0.7	0.7	NUM
ap-8428	284	34	11.78	11.78	NUM
ap-8428	284	35	1.464	1.464	NUM
ap-8428	284	36	table	table	NOUN
ap-8428	284	37	4	4	NUM
ap-8428	284	38	.	.	PUNCT
ap-8428	284	39	load	load	NOUN
ap-8428	284	40	current	current	ADJ
ap-8428	284	41	and	and	CCONJ
ap-8428	284	42	output	output	NOUN
ap-8428	284	43	voltage	voltage	NOUN
ap-8428	284	44	for	for	ADP
ap-8428	284	45	different	different	ADJ
ap-8428	284	46	duty	duty	NOUN
ap-8428	284	47	rates	rate	NOUN
ap-8428	284	48	.	.	PUNCT
ap-8428	285	1	4	4	X
ap-8428	285	2	.	.	NOUN
ap-8428	285	3	results	result	NOUN
ap-8428	285	4	and	and	CCONJ
ap-8428	285	5	discussion	discussion	NOUN
ap-8428	285	6	ssa	ssa	NOUN
ap-8428	285	7	and	and	CCONJ
ap-8428	285	8	pwm	pwm	NOUN
ap-8428	285	9	switch	switch	NOUN
ap-8428	285	10	modelling	modelling	NOUN
ap-8428	285	11	with	with	ADP
ap-8428	285	12	eet	eet	X
ap-8428	285	13	technique	technique	NOUN
ap-8428	285	14	for	for	ADP
ap-8428	285	15	cbc	cbc	PROPN
ap-8428	285	16	(	(	PUNCT
ap-8428	285	17	section	section	NOUN
ap-8428	285	18	2.2	2.2	NUM
ap-8428	285	19	and	and	CCONJ
ap-8428	285	20	2.3	2.3	NUM
ap-8428	285	21	)	)	PUNCT
ap-8428	285	22	are	be	AUX
ap-8428	285	23	brainstormed	brainstorm	VERB
ap-8428	285	24	,	,	PUNCT
ap-8428	285	25	compared	compare	VERB
ap-8428	285	26	for	for	ADP
ap-8428	285	27	different	different	ADJ
ap-8428	285	28	features	feature	NOUN
ap-8428	285	29	and	and	CCONJ
ap-8428	285	30	the	the	DET
ap-8428	285	31	results	result	NOUN
ap-8428	285	32	are	be	AUX
ap-8428	285	33	summarized	summarize	VERB
ap-8428	285	34	in	in	ADP
ap-8428	285	35	table	table	NOUN
ap-8428	285	36	5	5	NUM
ap-8428	285	37	.	.	PUNCT
ap-8428	286	1	in	in	ADP
ap-8428	286	2	ssa	ssa	PROPN
ap-8428	286	3	,	,	PUNCT
ap-8428	286	4	a	a	DET
ap-8428	286	5	linearisation	linearisation	NOUN
ap-8428	286	6	of	of	ADP
ap-8428	286	7	all	all	DET
ap-8428	286	8	the	the	DET
ap-8428	286	9	components	component	NOUN
ap-8428	286	10	of	of	ADP
ap-8428	286	11	the	the	DET
ap-8428	286	12	converter	converter	NOUN
ap-8428	286	13	is	be	AUX
ap-8428	286	14	performed	perform	VERB
ap-8428	286	15	,	,	PUNCT
ap-8428	286	16	whereas	whereas	SCONJ
ap-8428	286	17	in	in	ADP
ap-8428	286	18	the	the	DET
ap-8428	286	19	pwm	pwm	NOUN
ap-8428	286	20	switch	switch	NOUN
ap-8428	286	21	model	model	NOUN
ap-8428	286	22	method	method	NOUN
ap-8428	286	23	,	,	PUNCT
ap-8428	286	24	only	only	ADV
ap-8428	286	25	non	non	ADJ
ap-8428	286	26	-	-	ADJ
ap-8428	286	27	linear	linear	ADJ
ap-8428	286	28	switching	switching	NOUN
ap-8428	286	29	devices	device	NOUN
ap-8428	286	30	are	be	AUX
ap-8428	286	31	linearised	linearise	VERB
ap-8428	286	32	and	and	CCONJ
ap-8428	286	33	linear	linear	ADJ
ap-8428	286	34	components	component	NOUN
ap-8428	286	35	remain	remain	VERB
ap-8428	286	36	unchanged	unchanged	ADJ
ap-8428	286	37	.	.	PUNCT
ap-8428	287	1	in	in	ADP
ap-8428	287	2	ssa	ssa	PROPN
ap-8428	287	3	technique	technique	NOUN
ap-8428	287	4	,	,	PUNCT
ap-8428	287	5	a	a	DET
ap-8428	287	6	set	set	NOUN
ap-8428	287	7	of	of	ADP
ap-8428	287	8	differential	differential	ADJ
ap-8428	287	9	equations	equation	NOUN
ap-8428	287	10	are	be	AUX
ap-8428	287	11	written	write	VERB
ap-8428	287	12	which	which	PRON
ap-8428	287	13	are	be	AUX
ap-8428	287	14	further	far	ADV
ap-8428	287	15	averaged	average	VERB
ap-8428	287	16	with	with	ADP
ap-8428	287	17	respect	respect	NOUN
ap-8428	287	18	to	to	ADP
ap-8428	287	19	the	the	DET
ap-8428	287	20	duty	duty	NOUN
ap-8428	287	21	ratio	ratio	NOUN
ap-8428	287	22	function	function	NOUN
ap-8428	287	23	.	.	PUNCT
ap-8428	288	1	the	the	DET
ap-8428	288	2	averaged	average	VERB
ap-8428	288	3	equations	equation	NOUN
ap-8428	288	4	are	be	AUX
ap-8428	288	5	then	then	ADV
ap-8428	288	6	linearised	linearise	VERB
ap-8428	288	7	by	by	ADP
ap-8428	288	8	using	use	VERB
ap-8428	288	9	principle	principle	NOUN
ap-8428	288	10	of	of	ADP
ap-8428	288	11	perturbation	perturbation	NOUN
ap-8428	288	12	,	,	PUNCT
ap-8428	288	13	laplace	laplace	NOUN
ap-8428	288	14	transform	transform	NOUN
ap-8428	288	15	is	be	AUX
ap-8428	288	16	applied	apply	VERB
ap-8428	288	17	to	to	ADP
ap-8428	288	18	the	the	DET
ap-8428	288	19	linear	linear	ADJ
ap-8428	288	20	state	state	NOUN
ap-8428	288	21	space	space	NOUN
ap-8428	288	22	model	model	NOUN
ap-8428	288	23	of	of	ADP
ap-8428	288	24	cbc	cbc	PROPN
ap-8428	288	25	and	and	CCONJ
ap-8428	288	26	the	the	DET
ap-8428	288	27	control	control	NOUN
ap-8428	288	28	to	to	PART
ap-8428	288	29	output	output	NOUN
ap-8428	288	30	transfer	transfer	NOUN
ap-8428	288	31	function	function	NOUN
ap-8428	288	32	is	be	AUX
ap-8428	288	33	obtained	obtain	VERB
ap-8428	288	34	.	.	PUNCT
ap-8428	289	1	unlike	unlike	ADP
ap-8428	289	2	ssa	ssa	NOUN
ap-8428	289	3	technique	technique	NOUN
ap-8428	289	4	,	,	PUNCT
ap-8428	289	5	differential	differential	ADJ
ap-8428	289	6	equations	equation	NOUN
ap-8428	289	7	are	be	AUX
ap-8428	289	8	not	not	PART
ap-8428	289	9	required	require	VERB
ap-8428	289	10	in	in	ADP
ap-8428	289	11	pwm	pwm	NOUN
ap-8428	289	12	switch	switch	NOUN
ap-8428	289	13	modelling	modelling	NOUN
ap-8428	289	14	technique	technique	NOUN
ap-8428	289	15	.	.	PUNCT
ap-8428	290	1	averaging	averaging	NOUN
ap-8428	290	2	and	and	CCONJ
ap-8428	290	3	linearisation	linearisation	NOUN
ap-8428	290	4	with	with	ADP
ap-8428	290	5	the	the	DET
ap-8428	290	6	help	help	NOUN
ap-8428	290	7	of	of	ADP
ap-8428	290	8	perturbation	perturbation	NOUN
ap-8428	290	9	is	be	AUX
ap-8428	290	10	accomplished	accomplish	VERB
ap-8428	290	11	using	use	VERB
ap-8428	290	12	the	the	DET
ap-8428	290	13	pwm	pwm	NOUN
ap-8428	290	14	switch	switch	NOUN
ap-8428	290	15	itself	itself	PRON
ap-8428	290	16	.	.	PUNCT
ap-8428	291	1	instead	instead	ADV
ap-8428	291	2	of	of	ADP
ap-8428	291	3	laplace	laplace	NOUN
ap-8428	291	4	transform	transform	NOUN
ap-8428	291	5	,	,	PUNCT
ap-8428	291	6	eet	eet	X
ap-8428	291	7	is	be	AUX
ap-8428	291	8	applied	apply	VERB
ap-8428	291	9	to	to	ADP
ap-8428	291	10	the	the	DET
ap-8428	291	11	linearised	linearise	VERB
ap-8428	291	12	model	model	NOUN
ap-8428	291	13	of	of	ADP
ap-8428	291	14	cbc	cbc	PROPN
ap-8428	291	15	to	to	PART
ap-8428	291	16	derive	derive	VERB
ap-8428	291	17	the	the	DET
ap-8428	291	18	control	control	NOUN
ap-8428	291	19	to	to	PART
ap-8428	291	20	output	output	NOUN
ap-8428	291	21	transfer	transfer	NOUN
ap-8428	291	22	function	function	NOUN
ap-8428	291	23	.	.	PUNCT
ap-8428	292	1	the	the	DET
ap-8428	292	2	ssa	ssa	PROPN
ap-8428	292	3	model	model	NOUN
ap-8428	292	4	of	of	ADP
ap-8428	292	5	cbc	cbc	PROPN
ap-8428	292	6	is	be	AUX
ap-8428	292	7	a	a	DET
ap-8428	292	8	systematic	systematic	ADJ
ap-8428	292	9	procedure	procedure	NOUN
ap-8428	292	10	involving	involve	VERB
ap-8428	292	11	mathematics	mathematic	NOUN
ap-8428	292	12	without	without	ADP
ap-8428	292	13	any	any	DET
ap-8428	292	14	circuit	circuit	NOUN
ap-8428	292	15	transformation	transformation	NOUN
ap-8428	292	16	.	.	PUNCT
ap-8428	293	1	it	it	PRON
ap-8428	293	2	involves	involve	VERB
ap-8428	293	3	complex	complex	ADJ
ap-8428	293	4	mathematical	mathematical	ADJ
ap-8428	293	5	transformations	transformation	NOUN
ap-8428	293	6	and	and	CCONJ
ap-8428	293	7	a	a	DET
ap-8428	293	8	higher	high	ADJ
ap-8428	293	9	number	number	NOUN
ap-8428	293	10	of	of	ADP
ap-8428	293	11	mathematical	mathematical	ADJ
ap-8428	293	12	equations	equation	NOUN
ap-8428	293	13	.	.	PUNCT
ap-8428	294	1	in	in	ADP
ap-8428	294	2	contrast	contrast	NOUN
ap-8428	294	3	,	,	PUNCT
ap-8428	294	4	pwm	pwm	NOUN
ap-8428	294	5	switch	switch	NOUN
ap-8428	294	6	modelling	modelling	NOUN
ap-8428	294	7	technique	technique	NOUN
ap-8428	294	8	with	with	ADP
ap-8428	294	9	eet	eet	NOUN
ap-8428	294	10	consists	consist	NOUN
ap-8428	294	11	of	of	ADP
ap-8428	294	12	simple	simple	ADJ
ap-8428	294	13	mathematical	mathematical	ADJ
ap-8428	294	14	transformations	transformation	NOUN
ap-8428	294	15	.	.	PUNCT
ap-8428	295	1	however	however	ADV
ap-8428	295	2	,	,	PUNCT
ap-8428	295	3	expertise	expertise	NOUN
ap-8428	295	4	is	be	AUX
ap-8428	295	5	required	require	VERB
ap-8428	295	6	for	for	ADP
ap-8428	295	7	proper	proper	ADJ
ap-8428	295	8	circuit	circuit	NOUN
ap-8428	295	9	transformations	transformation	NOUN
ap-8428	295	10	.	.	PUNCT
ap-8428	296	1	based	base	VERB
ap-8428	296	2	on	on	ADP
ap-8428	296	3	the	the	DET
ap-8428	296	4	parametric	parametric	ADJ
ap-8428	296	5	comparison	comparison	NOUN
ap-8428	296	6	(	(	PUNCT
ap-8428	296	7	table	table	NOUN
ap-8428	296	8	5	5	NUM
ap-8428	296	9	)	)	PUNCT
ap-8428	296	10	of	of	ADP
ap-8428	296	11	two	two	NUM
ap-8428	296	12	analytical	analytical	ADJ
ap-8428	296	13	techniques	technique	NOUN
ap-8428	296	14	,	,	PUNCT
ap-8428	296	15	it	it	PRON
ap-8428	296	16	is	be	AUX
ap-8428	296	17	observed	observe	VERB
ap-8428	296	18	that	that	SCONJ
ap-8428	296	19	ssa	ssa	NOUN
ap-8428	296	20	is	be	AUX
ap-8428	296	21	better	well	ADJ
ap-8428	296	22	than	than	ADP
ap-8428	296	23	the	the	DET
ap-8428	296	24	pwm	pwm	NOUN
ap-8428	296	25	with	with	ADP
ap-8428	296	26	eet	eet	X
ap-8428	296	27	for	for	ADP
ap-8428	296	28	a	a	DET
ap-8428	296	29	high	high	ADJ
ap-8428	296	30	-	-	PUNCT
ap-8428	296	31	order	order	NOUN
ap-8428	296	32	circuit	circuit	NOUN
ap-8428	296	33	,	,	PUNCT
ap-8428	296	34	due	due	ADP
ap-8428	296	35	to	to	ADP
ap-8428	296	36	systematic	systematic	ADJ
ap-8428	296	37	,	,	PUNCT
ap-8428	296	38	straightforward	straightforward	ADJ
ap-8428	296	39	procedural	procedural	ADJ
ap-8428	296	40	steps	step	NOUN
ap-8428	296	41	.	.	PUNCT
ap-8428	297	1	pwm	pwm	NOUN
ap-8428	297	2	with	with	ADP
ap-8428	297	3	eet	eet	X
ap-8428	297	4	for	for	ADP
ap-8428	297	5	a	a	DET
ap-8428	297	6	high	high	ADJ
ap-8428	297	7	-	-	PUNCT
ap-8428	297	8	order	order	NOUN
ap-8428	297	9	circuit	circuit	NOUN
ap-8428	297	10	requires	require	VERB
ap-8428	297	11	a	a	DET
ap-8428	297	12	higher	high	ADJ
ap-8428	297	13	number	number	NOUN
ap-8428	297	14	of	of	ADP
ap-8428	297	15	circuit	circuit	NOUN
ap-8428	297	16	transformations	transformation	NOUN
ap-8428	297	17	and	and	CCONJ
ap-8428	297	18	a	a	DET
ap-8428	297	19	high	high	ADJ
ap-8428	297	20	expertise	expertise	NOUN
ap-8428	297	21	,	,	PUNCT
ap-8428	297	22	which	which	PRON
ap-8428	297	23	makes	make	VERB
ap-8428	297	24	it	it	PRON
ap-8428	297	25	time	time	NOUN
ap-8428	297	26	consuming	consume	VERB
ap-8428	297	27	and	and	CCONJ
ap-8428	297	28	difficult	difficult	ADJ
ap-8428	297	29	.	.	PUNCT
ap-8428	298	1	features	feature	VERB
ap-8428	298	2	ssa	ssa	NOUN
ap-8428	298	3	technique	technique	NOUN
ap-8428	298	4	pwm	pwm	NOUN
ap-8428	298	5	switch	switch	NOUN
ap-8428	298	6	modelling	modelling	NOUN
ap-8428	298	7	with	with	ADP
ap-8428	298	8	eet	eet	NOUN
ap-8428	298	9	analysis	analysis	NOUN
ap-8428	298	10	approach	approach	NOUN
ap-8428	298	11	mathematical	mathematical	ADJ
ap-8428	298	12	mainly	mainly	ADV
ap-8428	298	13	circuit	circuit	NOUN
ap-8428	298	14	oriented	orient	VERB
ap-8428	298	15	structure	structure	NOUN
ap-8428	298	16	of	of	ADP
ap-8428	298	17	analysis	analysis	NOUN
ap-8428	298	18	systematic	systematic	ADJ
ap-8428	298	19	less	less	ADV
ap-8428	298	20	systematic	systematic	ADJ
ap-8428	298	21	equivalent	equivalent	ADJ
ap-8428	298	22	diagram	diagram	NOUN
ap-8428	298	23	not	not	PART
ap-8428	298	24	required	require	VERB
ap-8428	298	25	required	required	ADJ
ap-8428	298	26	circuit	circuit	NOUN
ap-8428	298	27	transformation	transformation	NOUN
ap-8428	298	28	not	not	PART
ap-8428	298	29	required	require	VERB
ap-8428	298	30	required	required	ADJ
ap-8428	298	31	number	number	NOUN
ap-8428	298	32	of	of	ADP
ap-8428	298	33	mathematical	mathematical	ADJ
ap-8428	298	34	transformations	transformation	NOUN
ap-8428	298	35	more	more	ADV
ap-8428	298	36	less	less	ADJ
ap-8428	298	37	number	number	NOUN
ap-8428	298	38	of	of	ADP
ap-8428	298	39	mathematical	mathematical	ADJ
ap-8428	298	40	equations	equation	NOUN
ap-8428	298	41	more	more	ADV
ap-8428	298	42	less	less	ADJ
ap-8428	298	43	complexity	complexity	NOUN
ap-8428	298	44	of	of	ADP
ap-8428	298	45	mathematical	mathematical	ADJ
ap-8428	298	46	transformations	transformation	NOUN
ap-8428	298	47	high	high	ADJ
ap-8428	298	48	low	low	ADJ
ap-8428	298	49	expertise	expertise	NOUN
ap-8428	298	50	required	require	VERB
ap-8428	298	51	mathematical	mathematical	ADJ
ap-8428	298	52	identification	identification	NOUN
ap-8428	298	53	of	of	ADP
ap-8428	298	54	pwm	pwm	NOUN
ap-8428	298	55	switch	switch	NOUN
ap-8428	298	56	,	,	PUNCT
ap-8428	298	57	changing	change	VERB
ap-8428	298	58	the	the	DET
ap-8428	298	59	port	port	NOUN
ap-8428	298	60	sequences	sequence	NOUN
ap-8428	298	61	in	in	ADP
ap-8428	298	62	case	case	NOUN
ap-8428	298	63	of	of	ADP
ap-8428	298	64	indeterminacy	indeterminacy	NOUN
ap-8428	298	65	and	and	CCONJ
ap-8428	298	66	application	application	NOUN
ap-8428	298	67	of	of	ADP
ap-8428	298	68	eet	eet	NOUN
ap-8428	298	69	identification	identification	NOUN
ap-8428	298	70	of	of	ADP
ap-8428	298	71	pwm	pwm	NOUN
ap-8428	298	72	switch	switch	NOUN
ap-8428	298	73	not	not	PART
ap-8428	298	74	required	require	VERB
ap-8428	298	75	required	require	VERB
ap-8428	298	76	extra	extra	ADJ
ap-8428	298	77	element	element	NOUN
ap-8428	298	78	theorem	theorem	NOUN
ap-8428	298	79	not	not	PART
ap-8428	298	80	applicable	applicable	ADJ
ap-8428	298	81	applicable	applicable	ADJ
ap-8428	298	82	form	form	NOUN
ap-8428	298	83	of	of	ADP
ap-8428	298	84	transfer	transfer	NOUN
ap-8428	298	85	function	function	NOUN
ap-8428	298	86	low	low	ADJ
ap-8428	298	87	entropy	entropy	PROPN
ap-8428	298	88	low	low	PROPN
ap-8428	298	89	entropy	entropy	VERB
ap-8428	298	90	the	the	DET
ap-8428	298	91	complexity	complexity	NOUN
ap-8428	298	92	of	of	ADP
ap-8428	298	93	the	the	DET
ap-8428	298	94	modelling	modelling	NOUN
ap-8428	298	95	process	process	NOUN
ap-8428	298	96	low	low	ADJ
ap-8428	298	97	high	high	ADJ
ap-8428	298	98	steady	steady	ADJ
ap-8428	298	99	state	state	NOUN
ap-8428	298	100	analysis	analysis	NOUN
ap-8428	299	1	yes	yes	INTJ
ap-8428	299	2	yes	yes	INTJ
ap-8428	299	3	transient	transient	ADJ
ap-8428	299	4	state	state	NOUN
ap-8428	299	5	analysis	analysis	NOUN
ap-8428	300	1	yes	yes	INTJ
ap-8428	300	2	yes	yes	INTJ
ap-8428	300	3	table	table	NOUN
ap-8428	300	4	5	5	NUM
ap-8428	300	5	.	.	PUNCT
ap-8428	301	1	results	result	NOUN
ap-8428	301	2	of	of	ADP
ap-8428	301	3	comparative	comparative	ADJ
ap-8428	301	4	evaluation	evaluation	NOUN
ap-8428	301	5	of	of	ADP
ap-8428	301	6	the	the	DET
ap-8428	301	7	modelling	modelling	NOUN
ap-8428	301	8	techniques	technique	NOUN
ap-8428	301	9	.	.	PUNCT
ap-8428	302	1	5	5	X
ap-8428	302	2	.	.	X
ap-8428	302	3	conclusion	conclusion	NOUN
ap-8428	302	4	this	this	DET
ap-8428	302	5	paper	paper	NOUN
ap-8428	302	6	presents	present	VERB
ap-8428	302	7	a	a	DET
ap-8428	302	8	comparative	comparative	ADJ
ap-8428	302	9	study	study	NOUN
ap-8428	302	10	of	of	ADP
ap-8428	302	11	two	two	NUM
ap-8428	302	12	modelling	modelling	NOUN
ap-8428	302	13	techniques	technique	NOUN
ap-8428	302	14	commonly	commonly	ADV
ap-8428	302	15	used	use	VERB
ap-8428	302	16	for	for	ADP
ap-8428	302	17	modelling	modelling	NOUN
ap-8428	302	18	of	of	ADP
ap-8428	302	19	dc	dc	PROPN
ap-8428	302	20	-	-	PUNCT
ap-8428	302	21	dc	dc	PROPN
ap-8428	302	22	converters	converter	NOUN
ap-8428	302	23	,	,	PUNCT
ap-8428	302	24	which	which	PRON
ap-8428	302	25	is	be	AUX
ap-8428	302	26	first	first	ADV
ap-8428	302	27	in	in	ADP
ap-8428	302	28	its	its	PRON
ap-8428	302	29	kind	kind	NOUN
ap-8428	302	30	.	.	PUNCT
ap-8428	303	1	the	the	DET
ap-8428	303	2	transfer	transfer	NOUN
ap-8428	303	3	functions	function	NOUN
ap-8428	303	4	of	of	ADP
ap-8428	303	5	a	a	DET
ap-8428	303	6	complex	complex	ADJ
ap-8428	303	7	cbc	cbc	NOUN
ap-8428	303	8	converter	converter	NOUN
ap-8428	303	9	were	be	AUX
ap-8428	303	10	developed	develop	VERB
ap-8428	303	11	using	use	VERB
ap-8428	303	12	62	62	NUM
ap-8428	303	13	vol	vol	NOUN
ap-8428	303	14	.	.	PUNCT
ap-8428	304	1	63	63	NUM
ap-8428	304	2	no	no	NOUN
ap-8428	304	3	.	.	PUNCT
ap-8428	305	1	1/2023	1/2023	NUM
ap-8428	305	2	comparative	comparative	ADJ
ap-8428	305	3	study	study	NOUN
ap-8428	305	4	of	of	ADP
ap-8428	305	5	state	state	NOUN
ap-8428	305	6	space	space	NOUN
ap-8428	305	7	averaging	averaging	NOUN
ap-8428	305	8	and	and	CCONJ
ap-8428	305	9	pwm	pwm	NOUN
ap-8428	305	10	.	.	PUNCT
ap-8428	305	11	.	.	PUNCT
ap-8428	305	12	.	.	PUNCT
ap-8428	306	1	state	state	NOUN
ap-8428	306	2	space	space	NOUN
ap-8428	306	3	averaging	averaging	NOUN
ap-8428	306	4	and	and	CCONJ
ap-8428	306	5	pwm	pwm	NOUN
ap-8428	306	6	switch	switch	NOUN
ap-8428	306	7	modelling	modelling	NOUN
ap-8428	306	8	with	with	ADP
ap-8428	306	9	an	an	DET
ap-8428	306	10	extra	extra	ADJ
ap-8428	306	11	element	element	NOUN
ap-8428	306	12	theorem	theorem	NOUN
ap-8428	306	13	and	and	CCONJ
ap-8428	306	14	the	the	DET
ap-8428	306	15	simulation	simulation	NOUN
ap-8428	306	16	results	result	NOUN
ap-8428	306	17	were	be	AUX
ap-8428	306	18	obtained	obtain	VERB
ap-8428	306	19	.	.	PUNCT
ap-8428	307	1	the	the	DET
ap-8428	307	2	state	state	NOUN
ap-8428	307	3	space	space	NOUN
ap-8428	307	4	modelling	modelling	NOUN
ap-8428	307	5	approach	approach	NOUN
ap-8428	307	6	is	be	AUX
ap-8428	307	7	purely	purely	ADV
ap-8428	307	8	mathematical	mathematical	ADJ
ap-8428	307	9	and	and	CCONJ
ap-8428	307	10	systematic	systematic	ADJ
ap-8428	307	11	.	.	PUNCT
ap-8428	308	1	however	however	ADV
ap-8428	308	2	,	,	PUNCT
ap-8428	308	3	it	it	PRON
ap-8428	308	4	involves	involve	VERB
ap-8428	308	5	complex	complex	ADJ
ap-8428	308	6	mathematics	mathematic	NOUN
ap-8428	308	7	for	for	ADP
ap-8428	308	8	high	high	ADJ
ap-8428	308	9	-	-	PUNCT
ap-8428	308	10	order	order	NOUN
ap-8428	308	11	circuits	circuit	NOUN
ap-8428	308	12	.	.	PUNCT
ap-8428	309	1	the	the	DET
ap-8428	309	2	pwm	pwm	NOUN
ap-8428	309	3	switch	switch	NOUN
ap-8428	309	4	modelling	modelling	NOUN
ap-8428	309	5	approach	approach	NOUN
ap-8428	309	6	is	be	AUX
ap-8428	309	7	mainly	mainly	ADV
ap-8428	309	8	circuit	circuit	NOUN
ap-8428	309	9	oriented	orient	VERB
ap-8428	309	10	approach	approach	NOUN
ap-8428	309	11	,	,	PUNCT
ap-8428	309	12	which	which	PRON
ap-8428	309	13	involves	involve	VERB
ap-8428	309	14	relatively	relatively	ADV
ap-8428	309	15	simple	simple	ADJ
ap-8428	309	16	mathematical	mathematical	ADJ
ap-8428	309	17	transformations	transformation	NOUN
ap-8428	309	18	.	.	PUNCT
ap-8428	310	1	however	however	ADV
ap-8428	310	2	,	,	PUNCT
ap-8428	310	3	circuit	circuit	NOUN
ap-8428	310	4	transformations	transformation	NOUN
ap-8428	310	5	become	become	VERB
ap-8428	310	6	complex	complex	ADJ
ap-8428	310	7	for	for	ADP
ap-8428	310	8	a	a	DET
ap-8428	310	9	high	high	ADJ
ap-8428	310	10	-	-	PUNCT
ap-8428	310	11	order	order	NOUN
ap-8428	310	12	circuit	circuit	NOUN
ap-8428	310	13	.	.	PUNCT
ap-8428	311	1	a	a	DET
ap-8428	311	2	number	number	NOUN
ap-8428	311	3	of	of	ADP
ap-8428	311	4	complex	complex	ADJ
ap-8428	311	5	circuit	circuit	NOUN
ap-8428	311	6	transformations	transformation	NOUN
ap-8428	311	7	and	and	CCONJ
ap-8428	311	8	identification	identification	NOUN
ap-8428	311	9	of	of	ADP
ap-8428	311	10	the	the	DET
ap-8428	311	11	pwm	pwm	NOUN
ap-8428	311	12	switch	switch	NOUN
ap-8428	311	13	,	,	PUNCT
ap-8428	311	14	changing	change	VERB
ap-8428	311	15	the	the	DET
ap-8428	311	16	port	port	NOUN
ap-8428	311	17	sequences	sequence	NOUN
ap-8428	311	18	in	in	ADP
ap-8428	311	19	the	the	DET
ap-8428	311	20	case	case	NOUN
ap-8428	311	21	of	of	ADP
ap-8428	311	22	indeterminacy	indeterminacy	NOUN
ap-8428	311	23	and	and	CCONJ
ap-8428	311	24	application	application	NOUN
ap-8428	311	25	of	of	ADP
ap-8428	311	26	eet	eet	X
ap-8428	311	27	make	make	VERB
ap-8428	311	28	the	the	DET
ap-8428	311	29	pwm	pwm	NOUN
ap-8428	311	30	switch	switch	NOUN
ap-8428	311	31	modelling	model	VERB
ap-8428	311	32	approach	approach	NOUN
ap-8428	311	33	a	a	DET
ap-8428	311	34	complex	complex	ADJ
ap-8428	311	35	one	one	NOUN
ap-8428	311	36	as	as	SCONJ
ap-8428	311	37	compared	compare	VERB
ap-8428	311	38	to	to	ADP
ap-8428	311	39	the	the	DET
ap-8428	311	40	state	state	NOUN
ap-8428	311	41	space	space	NOUN
ap-8428	311	42	averaging	averaging	NOUN
ap-8428	311	43	approach	approach	NOUN
ap-8428	311	44	.	.	PUNCT
ap-8428	312	1	references	reference	NOUN
ap-8428	312	2	[	[	X
ap-8428	312	3	1	1	X
ap-8428	312	4	]	]	PUNCT
ap-8428	312	5	s.	s.	PROPN
ap-8428	312	6	h.	h.	PROPN
ap-8428	312	7	shete	shete	PROPN
ap-8428	312	8	,	,	PUNCT
ap-8428	313	1	p.	p.	PROPN
ap-8428	313	2	m.	m.	PROPN
ap-8428	313	3	joshi	joshi	PROPN
ap-8428	313	4	.	.	PUNCT
ap-8428	314	1	analytical	analytical	ADJ
ap-8428	314	2	techniques	technique	NOUN
ap-8428	314	3	for	for	ADP
ap-8428	314	4	dc	dc	PROPN
ap-8428	314	5	dc	dc	PROPN
ap-8428	314	6	converters	converter	NOUN
ap-8428	314	7	and	and	CCONJ
ap-8428	314	8	1φ	1φ	NUM
ap-8428	314	9	inverters	inverter	NOUN
ap-8428	314	10	:	:	PUNCT
ap-8428	314	11	a	a	DET
ap-8428	314	12	comprehensive	comprehensive	ADJ
ap-8428	314	13	review	review	NOUN
ap-8428	314	14	.	.	PUNCT
ap-8428	315	1	journal	journal	NOUN
ap-8428	315	2	of	of	ADP
ap-8428	315	3	the	the	DET
ap-8428	315	4	institution	institution	NOUN
ap-8428	315	5	of	of	ADP
ap-8428	315	6	engineers	engineer	NOUN
ap-8428	315	7	(	(	PUNCT
ap-8428	315	8	india	india	PROPN
ap-8428	315	9	):	):	PUNCT
ap-8428	315	10	series	series	PROPN
ap-8428	315	11	b	b	PROPN
ap-8428	315	12	volume	volume	NOUN
ap-8428	315	13	103:1827–1844	103:1827–1844	NUM
ap-8428	315	14	,	,	PUNCT
ap-8428	315	15	2022	2022	NUM
ap-8428	315	16	.	.	PUNCT
ap-8428	316	1	https://doi.org/10.1007/s40031-022-00759-x	https://doi.org/10.1007/s40031-022-00759-x	NOUN
ap-8428	316	2	.	.	PUNCT
ap-8428	317	1	[	[	X
ap-8428	317	2	2	2	X
ap-8428	317	3	]	]	X
ap-8428	317	4	e.	e.	PROPN
ap-8428	317	5	vuthchhay	vuthchhay	PROPN
ap-8428	317	6	,	,	PUNCT
ap-8428	317	7	c.	c.	PROPN
ap-8428	317	8	bunlaksananusorn	bunlaksananusorn	PROPN
ap-8428	317	9	.	.	PUNCT
ap-8428	318	1	dynamic	dynamic	ADJ
ap-8428	318	2	modeling	modeling	NOUN
ap-8428	318	3	of	of	ADP
ap-8428	318	4	a	a	DET
ap-8428	318	5	zeta	zeta	NOUN
ap-8428	318	6	converter	converter	NOUN
ap-8428	318	7	with	with	ADP
ap-8428	318	8	state	state	NOUN
ap-8428	318	9	-	-	PUNCT
ap-8428	318	10	space	space	NOUN
ap-8428	318	11	averaging	averaging	NOUN
ap-8428	318	12	technique	technique	NOUN
ap-8428	318	13	.	.	PUNCT
ap-8428	319	1	in	in	ADP
ap-8428	319	2	2008	2008	NUM
ap-8428	319	3	5th	5th	ADJ
ap-8428	319	4	international	international	ADJ
ap-8428	319	5	conference	conference	NOUN
ap-8428	319	6	on	on	ADP
ap-8428	319	7	electrical	electrical	ADJ
ap-8428	319	8	engineering	engineering	NOUN
ap-8428	319	9	/	/	SYM
ap-8428	319	10	electronics	electronic	NOUN
ap-8428	319	11	,	,	PUNCT
ap-8428	319	12	computer	computer	NOUN
ap-8428	319	13	,	,	PUNCT
ap-8428	319	14	telecommunications	telecommunication	NOUN
ap-8428	319	15	and	and	CCONJ
ap-8428	319	16	information	information	NOUN
ap-8428	319	17	technology	technology	NOUN
ap-8428	319	18	,	,	PUNCT
ap-8428	319	19	vol	vol	NOUN
ap-8428	319	20	.	.	PROPN
ap-8428	319	21	2	2	NUM
ap-8428	319	22	,	,	PUNCT
ap-8428	319	23	pp	pp	ADJ
ap-8428	319	24	.	.	PUNCT
ap-8428	320	1	969–972	969–972	NUM
ap-8428	320	2	.	.	PUNCT
ap-8428	320	3	2008	2008	NUM
ap-8428	320	4	.	.	PUNCT
ap-8428	321	1	https://doi.org/10.1109/ecticon.2008.4600593	https://doi.org/10.1109/ecticon.2008.4600593	PROPN
ap-8428	321	2	.	.	PUNCT
ap-8428	322	1	[	[	X
ap-8428	322	2	3	3	X
ap-8428	322	3	]	]	X
ap-8428	322	4	s.	s.	PROPN
ap-8428	322	5	hegde	hegde	PROPN
ap-8428	322	6	,	,	PUNCT
ap-8428	322	7	a.	a.	NOUN
ap-8428	322	8	izadian	izadian	NOUN
ap-8428	322	9	.	.	PUNCT
ap-8428	323	1	a	a	DET
ap-8428	323	2	new	new	ADJ
ap-8428	323	3	sepic	sepic	ADJ
ap-8428	323	4	inverter	inverter	NOUN
ap-8428	323	5	:	:	PUNCT
ap-8428	323	6	small	small	ADJ
ap-8428	323	7	signal	signal	NOUN
ap-8428	323	8	modeling	modeling	NOUN
ap-8428	323	9	.	.	PUNCT
ap-8428	324	1	in	in	ADP
ap-8428	324	2	iecon	iecon	ADJ
ap-8428	324	3	2013	2013	NUM
ap-8428	324	4	–	–	PUNCT
ap-8428	324	5	39th	39th	ADJ
ap-8428	324	6	annual	annual	ADJ
ap-8428	324	7	conference	conference	NOUN
ap-8428	324	8	of	of	ADP
ap-8428	324	9	the	the	DET
ap-8428	324	10	ieee	ieee	NOUN
ap-8428	324	11	industrial	industrial	PROPN
ap-8428	324	12	electronics	electronic	NOUN
ap-8428	324	13	society	society	NOUN
ap-8428	324	14	,	,	PUNCT
ap-8428	324	15	pp	pp	ADV
ap-8428	324	16	.	.	PUNCT
ap-8428	325	1	240–245	240–245	NUM
ap-8428	325	2	.	.	PUNCT
ap-8428	326	1	2013	2013	NUM
ap-8428	326	2	.	.	PUNCT
ap-8428	327	1	https://doi.org/10.1109/iecon.2013.6699142	https://doi.org/10.1109/iecon.2013.6699142	PROPN
ap-8428	327	2	.	.	PUNCT
ap-8428	328	1	[	[	X
ap-8428	328	2	4	4	NUM
ap-8428	328	3	]	]	PUNCT
ap-8428	328	4	a.	a.	NOUN
ap-8428	328	5	davoudi	davoudi	PROPN
ap-8428	328	6	,	,	PUNCT
ap-8428	328	7	j.	j.	PROPN
ap-8428	328	8	jatskevich	jatskevich	PROPN
ap-8428	328	9	,	,	PUNCT
ap-8428	328	10	t.	t.	PROPN
ap-8428	328	11	de	de	PROPN
ap-8428	328	12	rybel	rybel	PROPN
ap-8428	328	13	.	.	PUNCT
ap-8428	329	1	numerical	numerical	ADJ
ap-8428	329	2	state	state	NOUN
ap-8428	329	3	-	-	PUNCT
ap-8428	329	4	space	space	NOUN
ap-8428	329	5	average	average	ADJ
ap-8428	329	6	-	-	PUNCT
ap-8428	329	7	value	value	NOUN
ap-8428	329	8	modeling	modeling	NOUN
ap-8428	329	9	of	of	ADP
ap-8428	329	10	pwm	pwm	NOUN
ap-8428	329	11	dc	dc	PROPN
ap-8428	329	12	-	-	PUNCT
ap-8428	329	13	dc	dc	PROPN
ap-8428	329	14	converters	converter	NOUN
ap-8428	329	15	operating	operate	VERB
ap-8428	329	16	in	in	ADP
ap-8428	329	17	dcm	dcm	PROPN
ap-8428	329	18	and	and	CCONJ
ap-8428	329	19	ccm	ccm	PROPN
ap-8428	329	20	.	.	PROPN
ap-8428	329	21	ieee	ieee	NOUN
ap-8428	329	22	transactions	transaction	NOUN
ap-8428	329	23	on	on	ADP
ap-8428	329	24	power	power	NOUN
ap-8428	329	25	electronics	electronic	NOUN
ap-8428	329	26	21(4):1003–1012	21(4):1003–1012	NUM
ap-8428	329	27	,	,	PUNCT
ap-8428	329	28	2006	2006	NUM
ap-8428	329	29	.	.	PUNCT
ap-8428	330	1	https://doi.org/10.1109/tpel.2006.876848	https://doi.org/10.1109/tpel.2006.876848	NOUN
ap-8428	330	2	.	.	PUNCT
ap-8428	331	1	[	[	X
ap-8428	331	2	5	5	X
ap-8428	331	3	]	]	PUNCT
ap-8428	331	4	d.	d.	PROPN
ap-8428	331	5	czarkowski	czarkowski	PROPN
ap-8428	331	6	,	,	PUNCT
ap-8428	331	7	m.	m.	PROPN
ap-8428	331	8	k.	k.	PROPN
ap-8428	331	9	kazimierczuk	kazimierczuk	PROPN
ap-8428	331	10	.	.	PUNCT
ap-8428	332	1	energy	energy	NOUN
ap-8428	332	2	-	-	PUNCT
ap-8428	332	3	conservation	conservation	NOUN
ap-8428	332	4	approach	approach	NOUN
ap-8428	332	5	to	to	ADP
ap-8428	332	6	modeling	model	VERB
ap-8428	332	7	pwm	pwm	NOUN
ap-8428	332	8	dc	dc	PROPN
ap-8428	332	9	-	-	PUNCT
ap-8428	332	10	dc	dc	PROPN
ap-8428	332	11	converters	converter	NOUN
ap-8428	332	12	.	.	PUNCT
ap-8428	333	1	ieee	ieee	NOUN
ap-8428	333	2	transactions	transaction	NOUN
ap-8428	333	3	on	on	ADP
ap-8428	333	4	aerospace	aerospace	NOUN
ap-8428	333	5	and	and	CCONJ
ap-8428	333	6	electronic	electronic	ADJ
ap-8428	333	7	systems	system	NOUN
ap-8428	333	8	29(3):1059–1063	29(3):1059–1063	NUM
ap-8428	333	9	,	,	PUNCT
ap-8428	333	10	1993	1993	NUM
ap-8428	333	11	.	.	PUNCT
ap-8428	334	1	https://doi.org/10.1109/7.220955	https://doi.org/10.1109/7.220955	X
ap-8428	334	2	.	.	PUNCT
ap-8428	335	1	[	[	X
ap-8428	335	2	6	6	NUM
ap-8428	335	3	]	]	PUNCT
ap-8428	335	4	m.	m.	NOUN
ap-8428	335	5	bartoli	bartoli	PROPN
ap-8428	335	6	,	,	PUNCT
ap-8428	335	7	a.	a.	NOUN
ap-8428	335	8	reatti	reatti	PROPN
ap-8428	335	9	,	,	PUNCT
ap-8428	335	10	m.	m.	PROPN
ap-8428	335	11	k.	k.	PROPN
ap-8428	335	12	kazimierczuk	kazimierczuk	PROPN
ap-8428	335	13	.	.	PUNCT
ap-8428	336	1	open	open	ADJ
ap-8428	336	2	loop	loop	NOUN
ap-8428	336	3	small	small	ADJ
ap-8428	336	4	-	-	PUNCT
ap-8428	336	5	signal	signal	NOUN
ap-8428	336	6	control	control	NOUN
ap-8428	336	7	-	-	PUNCT
ap-8428	336	8	to	to	ADP
ap-8428	336	9	-	-	PUNCT
ap-8428	336	10	output	output	NOUN
ap-8428	336	11	transfer	transfer	NOUN
ap-8428	336	12	function	function	NOUN
ap-8428	336	13	of	of	ADP
ap-8428	336	14	pwm	pwm	NOUN
ap-8428	336	15	buck	buck	NOUN
ap-8428	336	16	converter	converter	NOUN
ap-8428	336	17	for	for	ADP
ap-8428	336	18	ccm	ccm	NOUN
ap-8428	336	19	:	:	PUNCT
ap-8428	336	20	modeling	modeling	NOUN
ap-8428	336	21	and	and	CCONJ
ap-8428	336	22	measurements	measurement	NOUN
ap-8428	336	23	.	.	PUNCT
ap-8428	337	1	in	in	ADP
ap-8428	337	2	proceedings	proceeding	NOUN
ap-8428	337	3	of	of	ADP
ap-8428	337	4	8th	8th	ADJ
ap-8428	337	5	mediterranean	mediterranean	ADJ
ap-8428	337	6	electrotechnical	electrotechnical	ADJ
ap-8428	337	7	conference	conference	NOUN
ap-8428	337	8	on	on	ADP
ap-8428	337	9	industrial	industrial	ADJ
ap-8428	337	10	applications	application	NOUN
ap-8428	337	11	in	in	ADP
ap-8428	337	12	power	power	NOUN
ap-8428	337	13	systems	system	NOUN
ap-8428	337	14	,	,	PUNCT
ap-8428	337	15	computer	computer	NOUN
ap-8428	337	16	science	science	NOUN
ap-8428	337	17	and	and	CCONJ
ap-8428	337	18	telecommunications	telecommunication	NOUN
ap-8428	337	19	(	(	PUNCT
ap-8428	337	20	melecon	melecon	NOUN
ap-8428	337	21	96	96	NUM
ap-8428	337	22	)	)	PUNCT
ap-8428	337	23	,	,	PUNCT
ap-8428	337	24	vol	vol	NOUN
ap-8428	337	25	.	.	PROPN
ap-8428	337	26	3	3	NUM
ap-8428	337	27	,	,	PUNCT
ap-8428	337	28	pp	pp	ADJ
ap-8428	337	29	.	.	PUNCT
ap-8428	337	30	1203–1206	1203–1206	NUM
ap-8428	337	31	.	.	PUNCT
ap-8428	337	32	1996	1996	NUM
ap-8428	337	33	.	.	PUNCT
ap-8428	338	1	https://doi.org/10.1109/melcon.1996.551161	https://doi.org/10.1109/melcon.1996.551161	VERB
ap-8428	338	2	.	.	PUNCT
ap-8428	339	1	[	[	X
ap-8428	339	2	7	7	X
ap-8428	339	3	]	]	X
ap-8428	339	4	n.	n.	PROPN
ap-8428	339	5	kroutikova	kroutikova	PROPN
ap-8428	339	6	,	,	PUNCT
ap-8428	339	7	c.	c.	PROPN
ap-8428	339	8	a.	a.	PROPN
ap-8428	339	9	hernandez	hernandez	PROPN
ap-8428	339	10	-	-	PUNCT
ap-8428	339	11	aramburo	aramburo	PROPN
ap-8428	339	12	,	,	PUNCT
ap-8428	339	13	t.	t.	PROPN
ap-8428	339	14	c.	c.	PROPN
ap-8428	339	15	green	green	PROPN
ap-8428	339	16	.	.	PUNCT
ap-8428	340	1	state	state	NOUN
ap-8428	340	2	-	-	PUNCT
ap-8428	340	3	space	space	NOUN
ap-8428	340	4	model	model	NOUN
ap-8428	340	5	of	of	ADP
ap-8428	340	6	grid	grid	NOUN
ap-8428	340	7	-	-	PUNCT
ap-8428	340	8	connected	connect	VERB
ap-8428	340	9	inverters	inverter	NOUN
ap-8428	340	10	under	under	ADP
ap-8428	340	11	current	current	ADJ
ap-8428	340	12	control	control	NOUN
ap-8428	340	13	mode	mode	NOUN
ap-8428	340	14	.	.	PUNCT
ap-8428	341	1	iet	iet	PROPN
ap-8428	341	2	electric	electric	PROPN
ap-8428	341	3	power	power	PROPN
ap-8428	341	4	applications	application	NOUN
ap-8428	341	5	1:329–338	1:329–338	NUM
ap-8428	341	6	,	,	PUNCT
ap-8428	341	7	2007	2007	NUM
ap-8428	341	8	.	.	PUNCT
ap-8428	342	1	https://doi.org/10.1049/iet-epa:20060276	https://doi.org/10.1049/iet-epa:20060276	NOUN
ap-8428	342	2	.	.	PUNCT
ap-8428	343	1	[	[	X
ap-8428	343	2	8	8	X
ap-8428	343	3	]	]	X
ap-8428	343	4	h.	h.	PROPN
ap-8428	343	5	mashinchi	mashinchi	PROPN
ap-8428	343	6	mahery	mahery	PROPN
ap-8428	343	7	,	,	PUNCT
ap-8428	343	8	e.	e.	PROPN
ap-8428	343	9	babaei	babaei	PROPN
ap-8428	343	10	.	.	PUNCT
ap-8428	344	1	mathematical	mathematical	ADJ
ap-8428	344	2	modeling	modeling	NOUN
ap-8428	344	3	of	of	ADP
ap-8428	344	4	buck	buck	NOUN
ap-8428	344	5	-	-	PUNCT
ap-8428	344	6	boost	boost	NOUN
ap-8428	344	7	dc	dc	PROPN
ap-8428	344	8	-	-	PUNCT
ap-8428	344	9	dc	dc	PROPN
ap-8428	344	10	converter	converter	NOUN
ap-8428	344	11	and	and	CCONJ
ap-8428	344	12	investigation	investigation	NOUN
ap-8428	344	13	of	of	ADP
ap-8428	344	14	converter	converter	NOUN
ap-8428	344	15	elements	element	NOUN
ap-8428	344	16	on	on	ADP
ap-8428	344	17	transient	transient	ADJ
ap-8428	344	18	and	and	CCONJ
ap-8428	344	19	steady	steady	ADJ
ap-8428	344	20	state	state	NOUN
ap-8428	344	21	responses	response	NOUN
ap-8428	344	22	.	.	PUNCT
ap-8428	345	1	international	international	ADJ
ap-8428	345	2	journal	journal	NOUN
ap-8428	345	3	of	of	ADP
ap-8428	345	4	electrical	electrical	ADJ
ap-8428	345	5	power	power	NOUN
ap-8428	345	6	&	&	CCONJ
ap-8428	345	7	energy	energy	NOUN
ap-8428	345	8	systems	system	NOUN
ap-8428	345	9	44(1):949–963	44(1):949–963	PROPN
ap-8428	345	10	,	,	PUNCT
ap-8428	345	11	2013	2013	NUM
ap-8428	345	12	.	.	PUNCT
ap-8428	346	1	https://doi.org/10.1016/j.ijepes.2012.08.035	https://doi.org/10.1016/j.ijepes.2012.08.035	ADJ
ap-8428	346	2	.	.	PUNCT
ap-8428	347	1	[	[	X
ap-8428	347	2	9	9	NUM
ap-8428	347	3	]	]	X
ap-8428	347	4	s.	s.	PROPN
ap-8428	347	5	laali	laali	PROPN
ap-8428	347	6	,	,	PUNCT
ap-8428	347	7	h.	h.	PROPN
ap-8428	347	8	m.	m.	NOUN
ap-8428	347	9	mahery	mahery	PROPN
ap-8428	347	10	.	.	PUNCT
ap-8428	348	1	buck	buck	PROPN
ap-8428	348	2	dc	dc	PROPN
ap-8428	348	3	-	-	PUNCT
ap-8428	348	4	dc	dc	PROPN
ap-8428	348	5	converter	converter	NOUN
ap-8428	348	6	:	:	PUNCT
ap-8428	348	7	mathematical	mathematical	ADJ
ap-8428	348	8	modeling	modeling	NOUN
ap-8428	348	9	and	and	CCONJ
ap-8428	348	10	transient	transient	ADJ
ap-8428	348	11	state	state	NOUN
ap-8428	348	12	analyzes	analyze	NOUN
ap-8428	348	13	.	.	PUNCT
ap-8428	349	1	in	in	ADP
ap-8428	349	2	2012	2012	NUM
ap-8428	349	3	3rd	3rd	ADJ
ap-8428	349	4	ieee	ieee	NOUN
ap-8428	349	5	international	international	ADJ
ap-8428	349	6	symposium	symposium	NOUN
ap-8428	349	7	on	on	ADP
ap-8428	349	8	power	power	NOUN
ap-8428	349	9	electronics	electronic	NOUN
ap-8428	349	10	for	for	ADP
ap-8428	349	11	distributed	distribute	VERB
ap-8428	349	12	generation	generation	NOUN
ap-8428	349	13	systems	system	NOUN
ap-8428	349	14	(	(	PUNCT
ap-8428	349	15	pedg	pedg	NOUN
ap-8428	349	16	)	)	PUNCT
ap-8428	349	17	,	,	PUNCT
ap-8428	349	18	pp	pp	ADP
ap-8428	349	19	.	.	PUNCT
ap-8428	350	1	661–667	661–667	NUM
ap-8428	350	2	.	.	PUNCT
ap-8428	350	3	2012	2012	NUM
ap-8428	350	4	.	.	PUNCT
ap-8428	351	1	https://doi.org/10.1109/pedg.2012.6254073	https://doi.org/10.1109/pedg.2012.6254073	NOUN
ap-8428	351	2	.	.	PUNCT
ap-8428	352	1	[	[	X
ap-8428	352	2	10	10	NUM
ap-8428	352	3	]	]	PUNCT
ap-8428	352	4	m.	m.	NOUN
ap-8428	352	5	muntasir	muntasir	PROPN
ap-8428	352	6	nishat	nishat	PROPN
ap-8428	352	7	,	,	PUNCT
ap-8428	352	8	m.	m.	NOUN
ap-8428	352	9	a.	a.	PROPN
ap-8428	352	10	moin	moin	PROPN
ap-8428	352	11	oninda	oninda	PROPN
ap-8428	352	12	,	,	PUNCT
ap-8428	352	13	f.	f.	PROPN
ap-8428	352	14	faisal	faisal	PROPN
ap-8428	352	15	,	,	PUNCT
ap-8428	352	16	m.	m.	NOUN
ap-8428	352	17	a.	a.	NOUN
ap-8428	352	18	hoque	hoque	NOUN
ap-8428	352	19	.	.	PUNCT
ap-8428	353	1	modeling	modeling	NOUN
ap-8428	353	2	,	,	PUNCT
ap-8428	353	3	simulation	simulation	NOUN
ap-8428	353	4	and	and	CCONJ
ap-8428	353	5	performance	performance	NOUN
ap-8428	353	6	analysis	analysis	NOUN
ap-8428	353	7	of	of	ADP
ap-8428	353	8	sepic	sepic	ADJ
ap-8428	353	9	converter	converter	NOUN
ap-8428	353	10	using	use	VERB
ap-8428	353	11	hysteresis	hysteresis	NOUN
ap-8428	353	12	current	current	ADJ
ap-8428	353	13	control	control	NOUN
ap-8428	353	14	and	and	CCONJ
ap-8428	353	15	pi	pi	PROPN
ap-8428	353	16	control	control	NOUN
ap-8428	353	17	method	method	NOUN
ap-8428	353	18	.	.	PUNCT
ap-8428	354	1	in	in	ADP
ap-8428	354	2	2018	2018	NUM
ap-8428	354	3	international	international	ADJ
ap-8428	354	4	conference	conference	NOUN
ap-8428	354	5	on	on	ADP
ap-8428	354	6	innovations	innovation	NOUN
ap-8428	354	7	in	in	ADP
ap-8428	354	8	science	science	NOUN
ap-8428	354	9	,	,	PUNCT
ap-8428	354	10	engineering	engineering	NOUN
ap-8428	354	11	and	and	CCONJ
ap-8428	354	12	technology	technology	NOUN
ap-8428	354	13	(	(	PUNCT
ap-8428	354	14	iciset	iciset	NOUN
ap-8428	354	15	)	)	PUNCT
ap-8428	354	16	,	,	PUNCT
ap-8428	354	17	pp	pp	ADP
ap-8428	354	18	.	.	PUNCT
ap-8428	355	1	7–12	7–12	ADJ
ap-8428	355	2	.	.	PUNCT
ap-8428	356	1	2018	2018	NUM
ap-8428	356	2	.	.	PUNCT
ap-8428	357	1	https://doi.org/10.1109/iciset.2018.8745619	https://doi.org/10.1109/iciset.2018.8745619	PROPN
ap-8428	357	2	.	.	PUNCT
ap-8428	358	1	[	[	X
ap-8428	358	2	11	11	NUM
ap-8428	358	3	]	]	X
ap-8428	358	4	v.	v.	CCONJ
ap-8428	358	5	vorperian	vorperian	PROPN
ap-8428	358	6	.	.	PUNCT
ap-8428	359	1	simplified	simplify	VERB
ap-8428	359	2	analysis	analysis	NOUN
ap-8428	359	3	of	of	ADP
ap-8428	359	4	pwm	pwm	NOUN
ap-8428	359	5	converters	converter	NOUN
ap-8428	359	6	using	use	VERB
ap-8428	359	7	model	model	NOUN
ap-8428	359	8	of	of	ADP
ap-8428	359	9	pwm	pwm	NOUN
ap-8428	359	10	switch	switch	NOUN
ap-8428	359	11	.	.	PUNCT
ap-8428	360	1	continuous	continuous	ADJ
ap-8428	360	2	conduction	conduction	NOUN
ap-8428	360	3	mode	mode	NOUN
ap-8428	360	4	.	.	PUNCT
ap-8428	361	1	ieee	ieee	NOUN
ap-8428	361	2	transactions	transaction	NOUN
ap-8428	361	3	on	on	ADP
ap-8428	361	4	aerospace	aerospace	NOUN
ap-8428	361	5	and	and	CCONJ
ap-8428	361	6	electronic	electronic	ADJ
ap-8428	361	7	systems	system	NOUN
ap-8428	361	8	26(3):490–496	26(3):490–496	PROPN
ap-8428	361	9	,	,	PUNCT
ap-8428	361	10	1990	1990	NUM
ap-8428	361	11	.	.	PUNCT
ap-8428	362	1	https://doi.org/10.1109/7.106126	https://doi.org/10.1109/7.106126	PROPN
ap-8428	362	2	.	.	PUNCT
ap-8428	363	1	[	[	X
ap-8428	363	2	12	12	NUM
ap-8428	363	3	]	]	PUNCT
ap-8428	363	4	c.	c.	NOUN
ap-8428	363	5	basso	basso	PROPN
ap-8428	363	6	.	.	PUNCT
ap-8428	364	1	switching	switching	NOUN
ap-8428	364	2	-	-	PUNCT
ap-8428	364	3	converter	converter	NOUN
ap-8428	364	4	dynamic	dynamic	ADJ
ap-8428	364	5	analysis	analysis	NOUN
ap-8428	364	6	with	with	ADP
ap-8428	364	7	fast	fast	ADJ
ap-8428	364	8	analytical	analytical	ADJ
ap-8428	364	9	techniques	technique	NOUN
ap-8428	364	10	:	:	PUNCT
ap-8428	364	11	overview	overview	NOUN
ap-8428	364	12	and	and	CCONJ
ap-8428	364	13	applications	application	NOUN
ap-8428	364	14	.	.	PUNCT
ap-8428	365	1	ieee	ieee	NOUN
ap-8428	365	2	power	power	PROPN
ap-8428	365	3	electronics	electronics	PROPN
ap-8428	365	4	magazine	magazine	NOUN
ap-8428	365	5	4(3):41–52	4(3):41–52	NUM
ap-8428	365	6	,	,	PUNCT
ap-8428	365	7	2017	2017	NUM
ap-8428	365	8	.	.	PUNCT
ap-8428	366	1	https://doi.org/10.1109/mpel.2017.2718238	https://doi.org/10.1109/mpel.2017.2718238	PROPN
ap-8428	366	2	.	.	PUNCT
ap-8428	367	1	[	[	X
ap-8428	367	2	13	13	NUM
ap-8428	367	3	]	]	X
ap-8428	367	4	h.	h.	PROPN
ap-8428	367	5	g.	g.	PROPN
ap-8428	367	6	tan	tan	PROPN
ap-8428	367	7	rodney	rodney	PROPN
ap-8428	367	8	,	,	PUNCT
ap-8428	367	9	l.	l.	PROPN
ap-8428	367	10	y.	y.	PROPN
ap-8428	367	11	h.	h.	PROPN
ap-8428	367	12	hoo	hoo	PROPN
ap-8428	367	13	.	.	PUNCT
ap-8428	367	14	dc	dc	PROPN
ap-8428	367	15	-	-	PUNCT
ap-8428	367	16	dc	dc	PROPN
ap-8428	367	17	converter	converter	NOUN
ap-8428	367	18	modeling	modeling	NOUN
ap-8428	367	19	and	and	CCONJ
ap-8428	367	20	simulation	simulation	NOUN
ap-8428	367	21	using	use	VERB
ap-8428	367	22	state	state	NOUN
ap-8428	367	23	space	space	NOUN
ap-8428	367	24	approach	approach	NOUN
ap-8428	367	25	.	.	PUNCT
ap-8428	368	1	in	in	ADP
ap-8428	368	2	2015	2015	NUM
ap-8428	368	3	ieee	ieee	NOUN
ap-8428	368	4	conference	conference	NOUN
ap-8428	368	5	on	on	ADP
ap-8428	368	6	energy	energy	NOUN
ap-8428	368	7	conversion	conversion	NOUN
ap-8428	368	8	(	(	PUNCT
ap-8428	368	9	cencon	cencon	PROPN
ap-8428	368	10	)	)	PUNCT
ap-8428	368	11	,	,	PUNCT
ap-8428	368	12	pp	pp	PROPN
ap-8428	368	13	.	.	PUNCT
ap-8428	369	1	42–47	42–47	NUM
ap-8428	369	2	.	.	NOUN
ap-8428	369	3	2015	2015	NUM
ap-8428	369	4	.	.	PUNCT
ap-8428	370	1	https://doi.org/10.1109/cencon.2015.7409511	https://doi.org/10.1109/cencon.2015.7409511	PROPN
ap-8428	370	2	.	.	PUNCT
ap-8428	371	1	[	[	X
ap-8428	371	2	14	14	NUM
ap-8428	371	3	]	]	X
ap-8428	371	4	t.	t.	NOUN
ap-8428	371	5	polsky	polsky	NOUN
ap-8428	371	6	,	,	PUNCT
ap-8428	371	7	y.	y.	PROPN
ap-8428	371	8	horen	horen	PROPN
ap-8428	371	9	,	,	PUNCT
ap-8428	371	10	s.	s.	PROPN
ap-8428	371	11	bronshtein	bronshtein	PROPN
ap-8428	371	12	,	,	PUNCT
ap-8428	371	13	d.	d.	PROPN
ap-8428	371	14	baimel	baimel	PROPN
ap-8428	371	15	.	.	PUNCT
ap-8428	372	1	transient	transient	VERB
ap-8428	372	2	and	and	CCONJ
ap-8428	372	3	steady	steady	ADJ
ap-8428	372	4	-	-	PUNCT
ap-8428	372	5	state	state	NOUN
ap-8428	372	6	analysis	analysis	NOUN
ap-8428	372	7	of	of	ADP
ap-8428	372	8	a	a	DET
ap-8428	372	9	sepic	sepic	ADJ
ap-8428	372	10	converter	converter	NOUN
ap-8428	372	11	by	by	ADP
ap-8428	372	12	an	an	DET
ap-8428	372	13	average	average	ADJ
ap-8428	372	14	state	state	NOUN
ap-8428	372	15	-	-	PUNCT
ap-8428	372	16	space	space	NOUN
ap-8428	372	17	modelling	modelling	NOUN
ap-8428	372	18	.	.	PUNCT
ap-8428	373	1	in	in	ADP
ap-8428	373	2	2018	2018	NUM
ap-8428	373	3	ieee	ieee	NOUN
ap-8428	373	4	18th	18th	ADJ
ap-8428	373	5	international	international	ADJ
ap-8428	373	6	power	power	NOUN
ap-8428	373	7	electronics	electronic	NOUN
ap-8428	373	8	and	and	CCONJ
ap-8428	373	9	motion	motion	NOUN
ap-8428	373	10	control	control	NOUN
ap-8428	373	11	conference	conference	PROPN
ap-8428	373	12	(	(	PUNCT
ap-8428	373	13	pemc	pemc	PROPN
ap-8428	373	14	)	)	PUNCT
ap-8428	373	15	,	,	PUNCT
ap-8428	373	16	pp	pp	ADJ
ap-8428	373	17	.	.	PUNCT
ap-8428	374	1	211–215	211–215	NUM
ap-8428	374	2	.	.	NOUN
ap-8428	374	3	2018	2018	NUM
ap-8428	374	4	.	.	PUNCT
ap-8428	375	1	https://doi.org/10.1109/epepemc.2018.8522000	https://doi.org/10.1109/epepemc.2018.8522000	PROPN
ap-8428	375	2	.	.	PUNCT
ap-8428	376	1	[	[	X
ap-8428	376	2	15	15	NUM
ap-8428	376	3	]	]	X
ap-8428	376	4	b.	b.	PROPN
ap-8428	376	5	p.	p.	PROPN
ap-8428	376	6	mokal	mokal	NOUN
ap-8428	376	7	,	,	PUNCT
ap-8428	376	8	k.	k.	PROPN
ap-8428	376	9	vadirajacharya	vadirajacharya	PROPN
ap-8428	376	10	.	.	PUNCT
ap-8428	377	1	extensive	extensive	ADJ
ap-8428	377	2	modeling	modeling	NOUN
ap-8428	377	3	of	of	ADP
ap-8428	377	4	dc	dc	PROPN
ap-8428	377	5	-	-	PUNCT
ap-8428	377	6	dc	dc	PROPN
ap-8428	377	7	cuk	cuk	PROPN
ap-8428	377	8	converter	converter	NOUN
ap-8428	377	9	operating	operate	VERB
ap-8428	377	10	in	in	ADP
ap-8428	377	11	continuous	continuous	ADJ
ap-8428	377	12	conduction	conduction	NOUN
ap-8428	377	13	mode	mode	NOUN
ap-8428	377	14	.	.	PUNCT
ap-8428	378	1	in	in	ADP
ap-8428	378	2	2017	2017	NUM
ap-8428	378	3	international	international	ADJ
ap-8428	378	4	conference	conference	NOUN
ap-8428	378	5	on	on	ADP
ap-8428	378	6	circuit	circuit	NOUN
ap-8428	378	7	,	,	PUNCT
ap-8428	378	8	power	power	NOUN
ap-8428	378	9	and	and	CCONJ
ap-8428	378	10	computing	computing	NOUN
ap-8428	378	11	technologies	technology	NOUN
ap-8428	378	12	(	(	PUNCT
ap-8428	378	13	iccpct	iccpct	ADJ
ap-8428	378	14	)	)	PUNCT
ap-8428	378	15	,	,	PUNCT
ap-8428	378	16	pp	pp	ADP
ap-8428	378	17	.	.	PUNCT
ap-8428	379	1	1–5	1–5	X
ap-8428	379	2	.	.	NOUN
ap-8428	379	3	2017	2017	NUM
ap-8428	379	4	.	.	PUNCT
ap-8428	380	1	https://doi.org/10.1109/iccpct.2017.8074188	https://doi.org/10.1109/iccpct.2017.8074188	PROPN
ap-8428	380	2	.	.	PUNCT
ap-8428	381	1	[	[	X
ap-8428	381	2	16	16	NUM
ap-8428	381	3	]	]	X
ap-8428	381	4	g.	g.	PROPN
ap-8428	381	5	kanimozhi	kanimozhi	PROPN
ap-8428	381	6	,	,	PUNCT
ap-8428	381	7	j.	j.	PROPN
ap-8428	381	8	meenakshi	meenakshi	PROPN
ap-8428	381	9	,	,	PUNCT
ap-8428	381	10	v.	v.	PROPN
ap-8428	381	11	t.	t.	PROPN
ap-8428	381	12	sreedevi	sreedevi	PROPN
ap-8428	381	13	.	.	PUNCT
ap-8428	382	1	small	small	ADJ
ap-8428	382	2	signal	signal	NOUN
ap-8428	382	3	modeling	modeling	NOUN
ap-8428	382	4	of	of	ADP
ap-8428	382	5	a	a	DET
ap-8428	382	6	dc	dc	PROPN
ap-8428	382	7	-	-	PUNCT
ap-8428	382	8	dc	dc	PROPN
ap-8428	382	9	type	type	NOUN
ap-8428	382	10	double	double	ADJ
ap-8428	382	11	boost	boost	NOUN
ap-8428	382	12	converter	converter	NOUN
ap-8428	382	13	integrated	integrate	VERB
ap-8428	382	14	with	with	ADP
ap-8428	382	15	sepic	sepic	ADJ
ap-8428	382	16	converter	converter	NOUN
ap-8428	382	17	using	use	VERB
ap-8428	382	18	state	state	NOUN
ap-8428	382	19	space	space	NOUN
ap-8428	382	20	averaging	averaging	NOUN
ap-8428	382	21	approach	approach	NOUN
ap-8428	382	22	.	.	PUNCT
ap-8428	383	1	energy	energy	NOUN
ap-8428	383	2	procedia	procedia	PROPN
ap-8428	383	3	117:835–846	117:835–846	NUM
ap-8428	383	4	,	,	PUNCT
ap-8428	383	5	2017	2017	NUM
ap-8428	383	6	.	.	PUNCT
ap-8428	384	1	https://doi.org/10.1016/j.egypro.2017.05.201	https://doi.org/10.1016/j.egypro.2017.05.201	NOUN
ap-8428	384	2	.	.	PUNCT
ap-8428	385	1	[	[	X
ap-8428	385	2	17	17	NUM
ap-8428	385	3	]	]	X
ap-8428	385	4	v.	v.	PROPN
ap-8428	385	5	eng	eng	PROPN
ap-8428	385	6	,	,	PUNCT
ap-8428	385	7	u.	u.	PROPN
ap-8428	385	8	pinsopon	pinsopon	PROPN
ap-8428	385	9	,	,	PUNCT
ap-8428	385	10	c.	c.	PROPN
ap-8428	385	11	bunlaksananusorn	bunlaksananusorn	PROPN
ap-8428	385	12	.	.	PUNCT
ap-8428	386	1	modeling	modeling	NOUN
ap-8428	386	2	of	of	ADP
ap-8428	386	3	a	a	DET
ap-8428	386	4	sepic	sepic	ADJ
ap-8428	386	5	converter	converter	NOUN
ap-8428	386	6	operating	operate	VERB
ap-8428	386	7	in	in	ADP
ap-8428	386	8	continuous	continuous	ADJ
ap-8428	386	9	conduction	conduction	NOUN
ap-8428	386	10	mode	mode	NOUN
ap-8428	386	11	.	.	PUNCT
ap-8428	387	1	in	in	ADP
ap-8428	387	2	2009	2009	NUM
ap-8428	387	3	6th	6th	ADJ
ap-8428	387	4	international	international	ADJ
ap-8428	387	5	conference	conference	NOUN
ap-8428	387	6	on	on	ADP
ap-8428	387	7	electrical	electrical	ADJ
ap-8428	387	8	engineering	engineering	NOUN
ap-8428	387	9	/	/	SYM
ap-8428	387	10	electronics	electronic	NOUN
ap-8428	387	11	,	,	PUNCT
ap-8428	387	12	computer	computer	NOUN
ap-8428	387	13	,	,	PUNCT
ap-8428	387	14	telecommunications	telecommunication	NOUN
ap-8428	387	15	and	and	CCONJ
ap-8428	387	16	information	information	NOUN
ap-8428	387	17	technology	technology	NOUN
ap-8428	387	18	,	,	PUNCT
ap-8428	387	19	pp	pp	ADJ
ap-8428	387	20	.	.	PUNCT
ap-8428	388	1	136–139	136–139	NUM
ap-8428	388	2	.	.	PUNCT
ap-8428	389	1	2009	2009	NUM
ap-8428	389	2	.	.	PUNCT
ap-8428	390	1	https://doi.org/10.1109/ecticon.2009.5136982	https://doi.org/10.1109/ecticon.2009.5136982	PROPN
ap-8428	390	2	.	.	PROPN
ap-8428	390	3	63	63	NUM
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ap-8428	390	5	https://doi.org/10.1109/ecticon.2008.4600593	https://doi.org/10.1109/ecticon.2008.4600593	PROPN
ap-8428	390	6	https://doi.org/10.1109/iecon.2013.6699142	https://doi.org/10.1109/iecon.2013.6699142	PROPN
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ap-8428	390	8	https://doi.org/10.1109/7.220955	https://doi.org/10.1109/7.220955	PROPN
ap-8428	390	9	https://doi.org/10.1109/melcon.1996.551161	https://doi.org/10.1109/melcon.1996.551161	X
ap-8428	390	10	https://doi.org/10.1049/iet-epa:20060276	https://doi.org/10.1049/iet-epa:20060276	NOUN
ap-8428	390	11	https://doi.org/10.1016/j.ijepes.2012.08.035	https://doi.org/10.1016/j.ijepes.2012.08.035	ADJ
ap-8428	390	12	https://doi.org/10.1109/pedg.2012.6254073	https://doi.org/10.1109/pedg.2012.6254073	PROPN
ap-8428	390	13	https://doi.org/10.1109/iciset.2018.8745619	https://doi.org/10.1109/iciset.2018.8745619	PROPN
ap-8428	390	14	https://doi.org/10.1109/7.106126	https://doi.org/10.1109/7.106126	NOUN
ap-8428	390	15	https://doi.org/10.1109/mpel.2017.2718238	https://doi.org/10.1109/mpel.2017.2718238	PROPN
ap-8428	390	16	https://doi.org/10.1109/cencon.2015.7409511	https://doi.org/10.1109/cencon.2015.7409511	PROPN
ap-8428	390	17	https://doi.org/10.1109/epepemc.2018.8522000	https://doi.org/10.1109/epepemc.2018.8522000	PROPN
ap-8428	391	1	https://doi.org/10.1109/iccpct.2017.8074188	https://doi.org/10.1109/iccpct.2017.8074188	VERB
ap-8428	391	2	https://doi.org/10.1016/j.egypro.2017.05.201	https://doi.org/10.1016/j.egypro.2017.05.201	NOUN
ap-8428	391	3	https://doi.org/10.1109/ecticon.2009.5136982	https://doi.org/10.1109/ecticon.2009.5136982	PROPN
ap-8428	391	4	sangeeta	sangeeta	PROPN
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ap-8428	392	2	18	18	NUM
ap-8428	392	3	]	]	X
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ap-8428	392	6	,	,	PUNCT
ap-8428	392	7	m.	m.	NOUN
ap-8428	392	8	ünlü	ünlü	PROPN
ap-8428	392	9	,	,	PUNCT
ap-8428	392	10	s.	s.	PROPN
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ap-8428	392	12	.	.	PUNCT
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ap-8428	393	5	dc	dc	PROPN
ap-8428	393	6	-	-	PUNCT
ap-8428	393	7	dc	dc	PROPN
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ap-8428	394	8	(	(	PUNCT
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ap-8428	394	11	,	,	PUNCT
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ap-8428	394	13	.	.	PUNCT
ap-8428	395	1	1–5	1–5	X
ap-8428	395	2	.	.	NOUN
ap-8428	395	3	2016	2016	NUM
ap-8428	395	4	.	.	PUNCT
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ap-8428	396	2	.	.	PUNCT
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ap-8428	397	2	19	19	NUM
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ap-8428	397	8	m.	m.	PROPN
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ap-8428	397	14	.	.	PUNCT
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ap-8428	398	5	,	,	PUNCT
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ap-8428	398	9	.	.	PUNCT
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ap-8428	400	5	,	,	PUNCT
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ap-8428	400	7	.	.	PUNCT
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ap-8428	401	2	20	20	NUM
ap-8428	401	3	]	]	PUNCT
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ap-8428	401	6	.	.	PUNCT
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ap-8428	402	5	:	:	PUNCT
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ap-8428	403	2	,	,	PUNCT
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ap-8428	403	4	,	,	PUNCT
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ap-8428	403	6	,	,	PUNCT
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ap-8428	403	8	.	.	PUNCT
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ap-8428	405	9	.	.	PUNCT
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ap-8428	406	4	,	,	PUNCT
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ap-8428	406	6	,	,	PUNCT
ap-8428	406	7	u.k	u.k	PROPN
ap-8428	406	8	.	.	PROPN
ap-8428	406	9	,	,	PUNCT
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ap-8428	406	11	.	.	PUNCT
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ap-8428	407	7	,	,	PUNCT
ap-8428	407	8	b.	b.	PROPN
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ap-8428	407	10	.	.	PUNCT
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ap-8428	408	2	impedance	impedance	NOUN
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ap-8428	408	7	-	-	PUNCT
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ap-8428	408	9	-	-	PUNCT
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ap-8428	408	12	.	.	PUNCT
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ap-8428	409	12	(	(	PUNCT
ap-8428	409	13	icpe	icpe	PROPN
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ap-8428	409	15	–	–	PUNCT
ap-8428	409	16	ecce	ecce	PROPN
ap-8428	409	17	asia	asia	PROPN
ap-8428	409	18	)	)	PUNCT
ap-8428	409	19	,	,	PUNCT
ap-8428	409	20	pp	pp	ADP
ap-8428	409	21	.	.	PUNCT
ap-8428	410	1	849–855	849–855	NUM
ap-8428	410	2	.	.	PUNCT
ap-8428	410	3	2019	2019	NUM
ap-8428	410	4	.	.	PUNCT
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ap-8428	412	10	d.	d.	PROPN
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ap-8428	413	3	input	input	NOUN
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ap-8428	413	10	.	.	PUNCT
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ap-8428	414	7	,	,	PUNCT
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ap-8428	414	9	.	.	PUNCT
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ap-8428	415	2	.	.	PUNCT
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ap-8428	416	6	.	.	PUNCT
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ap-8428	417	8	-	-	PUNCT
ap-8428	417	9	dc	dc	PROPN
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ap-8428	418	4	,	,	PUNCT
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ap-8428	420	6	,	,	PUNCT
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ap-8428	420	8	h.	h.	PROPN
ap-8428	420	9	sayan	sayan	PROPN
ap-8428	420	10	.	.	PUNCT
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ap-8428	421	2	mathematical	mathematical	ADJ
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ap-8428	421	4	for	for	ADP
ap-8428	421	5	the	the	DET
ap-8428	421	6	chopper	chopper	PROPN
ap-8428	421	7	circuit	circuit	NOUN
ap-8428	421	8	.	.	PUNCT
ap-8428	422	1	technical	technical	ADJ
ap-8428	422	2	journal	journal	PROPN
ap-8428	422	3	10(1	10(1	PROPN
ap-8428	422	4	-	-	SYM
ap-8428	422	5	2):13–15	2):13–15	NUM
ap-8428	422	6	,	,	PUNCT
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ap-8428	422	8	.	.	PUNCT
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ap-8428	424	2	26	26	NUM
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ap-8428	425	4	wide	wide	ADJ
ap-8428	425	5	dc	dc	PROPN
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ap-8428	425	8	.	.	PUNCT
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ap-8428	426	7	,	,	PUNCT
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ap-8428	428	9	v.	v.	PROPN
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ap-8428	428	12	m.	m.	PROPN
ap-8428	428	13	k.	k.	PROPN
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ap-8428	430	7	(	(	PUNCT
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ap-8428	430	12	.	.	PUNCT
ap-8428	431	1	1–6	1–6	NUM
ap-8428	431	2	.	.	NOUN
ap-8428	431	3	2015	2015	NUM
ap-8428	431	4	.	.	PUNCT
ap-8428	432	1	https://doi.org/10.1109/ascc.2015.7244716	https://doi.org/10.1109/ascc.2015.7244716	NOUN
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ap-8428	433	14	1	1	NUM
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ap-8428	433	16	2	2	NUM
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ap-8428	433	24	-	-	PUNCT
ap-8428	433	25	dc	dc	PROPN
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ap-8428	433	28	2.2	2.2	NUM
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ap-8428	433	30	space	space	NOUN
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ap-8428	433	32	technique	technique	NOUN
ap-8428	433	33	2.3	2.3	NUM
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ap-8428	433	35	switch	switch	NOUN
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ap-8428	433	37	eet	eet	X
ap-8428	433	38	technique	technique	NOUN
ap-8428	433	39	3	3	NUM
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ap-8428	433	44	4	4	NUM
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ap-8428	433	47	discussion	discussion	NOUN
ap-8428	433	48	5	5	NUM
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ap-8428	433	50	references	reference	NOUN