CHEMICAL ENGINEERING TRANSACTIONS  
 

VOL. 51, 2016 

A publication of 

 
The Italian Association 

of Chemical Engineering 
Online at www.aidic.it/cet 

Guest Editors: Tichun Wang, Hongyang Zhang, Lei Tian 
Copyright © 2016, AIDIC Servizi S.r.l., 

ISBN 978-88-95608-43-3; ISSN 2283-9216 

The Design of Hybrid Active Power Filter based on Harmonics 
Detection and Its Simulation Research 

Zhengyou Ma 
Department of Electrical Engineering, Sichuan College of Architectural Technology, Deyang, Sichuan 61800, China 
mazhengyou@sohu.com 

This paper puts forward a design method of hybrid active power filter which is based on harmonics detection 
and identifying. Firstly the paper analyzes damage and causes of the harmonics, then several solutions to 
harmonics problems are devoted to harmonic suppression. The hybrid active power filter, which combines 
active power filter, passive power filter and generalized integrators, and which has their both respective merits, 
leading the development of electric reliability and quality. According to minimum current principle of harmonic 
compensation, the compensation performance of hybrid active power filter in power distribution system has 
been analyzed and verified by Matlab simulation, and the stable current experimental results shows this power 
filter in this paper is going quite well effect on harmonic compensation in circuit, and this hybrid filter which 
connects in series active filter and passive filter improves the compensations performance remarkably, 
meanwhile avoiding the expensive initial cost. 

1. Introduction 

With the rapid development of the national economy, the power quality and its service reliability have become 
growing concerns in the field of energy conversion and utilization in recent years. Especially with the 
increasing sensitivity and precision of electronic equipment and automated controls, there are several defects 
that will cause the electrical power system breakdown, and there are also some voltage fluctuations that will 
seriously affect the performance of the system. These reasons which cause voltage fluctuations are always 
harmonic distortion, surges and spikes, and momentary disruptions. Among them, harmonic distortion is 
voltage or current frequencies riding on top of the normal sinusoidal voltage and current waveforms, and the 
harmonics are the main reason which will cause overheating of transformers and wiring, nuisance breaker 
trips, and reduced power factor (Daniel, et al., 2013). 
When the current is switched on or off each time, harmonics are created by this current pulse. Because of 
these resistive and reactive loads, this current pulse does not vary smoothly with voltage, so these “nonlinear 
loads” will generate a spectrum of harmonic frequencies, which includes the fundamental frequency and its 
multiples (Moran, et al., 1995). In China the fundamental frequency of the AC is 50Hz, as shown in figure1, the 
combined waveform shows the effect of multiples of harmonic on the fundamental frequency of current, and 
there are 5th, 7th, 11th, and 13th harmonics in the combined waveform, and according to the past research, the 
third harmonic which the frequencies is 150Hz in circuits system plays the most serious interference in the 
electric power system, and which is created by single-phase loads such as telephone, fax and computers 
(Tang Y. et al. 2012). 
The harmonics in distribution circuit do not always causes problems in case of modern electronic devices will 
contain some frequencies of harmonics, but the greater the power drawn by these modern devices or other 
nonlinear loads, the greater level of voltage distortion which is caused by harmonics (Dash, et al., 2016). The 
table 1 shows the potential defects which attribute to harmonics in the electric power system. In order to 
suppress the harmonics, at the present stage there are several ways to deal with harmonics problems through 
prevention, in this paper a new hybrid active power filter based on Harmonics Detection is put forward to 
harmonics suppression, and with the help of Matlab simulation, the active power filter will be a better 
opportunity for harmonics suppression and place a very high premium on power quality and reliability. 
 

                               
 
 

 

 
   

                                                  
DOI: 10.3303/CET1651074

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Please cite this article as: Ma Z.Y., 2016, The design of hybrid active power filter based on harmonics detection and its simulation research, 
Chemical Engineering Transactions, 51, 439-444  DOI:10.3303/CET1651074   

439



0 90 180 270 360

0

Phase(degree)

Amplitude

0.5

-0.5

1.0

-1.0

Fundamental 

            Combined waveform

                           5th,7th,11th,and 13th harmonics

 

Figure 1: Effect of harmonics combined in normal current 

Table 1:  The potential defects of harmonics 

No. The potential defects of harmonics 
1 Malfunction of sensitive and nonlinear equipment and device 
2 Overheated phase conductors, transformers and panels 
3 Flickering lights and super high neutral currents 
4 Premature failure of transformers and uninterruptible power supplies 
5 Reduced power factor and Reduced system capacity 
6 Random tripping of circuit breakers 

2. Harmonics detecting and identifying 

The best way to eliminate harmonics is insulation, which is choosing equipment and installation practices that 
minimize the level of harmonics in the circuit and portion of facility. The harmonics problem will be solved by 
these methods, such as adding additional circuits to help isolate the sensitive equipment from what is causing 
the harmonic distortion (Wu, et al., 2015).. Another way to suppress the harmonics is passive filter (also called 
LC filter), which is composed of inductance, capacitance and resistance, a passive filter shows the low 
impedance at tuned frequency to absorb current harmonic and has a good compensation performance. But 
the passive filter has the disadvantage of susceptible to the the electric power system and the characteristic 
change due to aging, and the passive filter always has fixed parameters, and this character can’t adapted for 
the complex and changeable situation. As one of the key technologies in combating harmonic distortion and 
improving the power quality, active power filter (APF) has become a trending research emphasis in power 
electronics technology, and the active power filter overcomes these disadvantages of the passive filter, and it 
can provide reliable and flexible compensation, but it also has its shortcoming-high operation cost and low rate 
of quantity and price (Biricik, et al., 2015).. Table 2 shows the best application and its shortcoming of vvarious 
solutions of harmonics suppression. 
From table 2, hybrid active filter composed of passive power filter connected in series to the active power filter 
improves the compensation performance of passive filter remarkably, give more flexibility and reliability to 
power device, and the hybrid active filter in this paper will comfortable for high-power system avoiding the 
expensive initial cost. 
 

440



Table 2:  Solutions of harmonics suppression 

Solution Best application Shortcoming 

Isolation Transformer 
Where sources of harmonics are on 
separate branches from harmonics-

sensitive equipment. 

Isolates but does not remove the 
harmonics problem 

Passive filter 
For circuits that include three-phase loads, 

where there are only minor voltage 
imbalances between phases. 

Lower-cost than active filters, but 
requires 

analysis and a trial-and-error approach 

Active filter 
For circuits that include three-phase loads; 
voltage imbalances between phases can 

be present 

Adapts to changes in system but the 
cost is too much 

Hybrid active filter 
Almost every working occasion can be 

comfortable 
Give more flexibility and reliability to 

power device 

3. Minimum current principle of harmonic compensation 

The hybrid active filter consists of active power filter (APF), passive power filter, three-phase PWM voltage 
inverter (pulse width modulation) and coupling transformer. As shown in figure2, the active power filter and 
passive power filter are connected in series to voltage inverter through coupling transformer. In this system the 
APF prevents the harmonic current into hybrid active filter, and it plays a voltage inverter controlling role in this 
circuit. 

Es Ls

Cd

L C
r

C/T

5th 7th 11th

 

Figure 2: The configuration and structure of hybrid active filter 

When the feedback control is applied to the active power filter, the figure3 shows that the minimum harmonics 
compensation process is operated by the single-phase equivalent circuit. In order to suppress current 
harmonic in the circuit, the active power filter is considered as a controlled voltage source, and this voltage is 
VAPF, and the voltage value of this filter is shown in Eq(1). 

sh
IKVAPF =  (1) 

In Eq(1), K is the harmonic compensation gain, Ish is the load harmonic current. Supposing utility voltage is 
pure sinusoidal, the ration between the utility harmonic current and the load harmonic current is obtained, 
which can be used to denote the filtering characteristics of hybrid active power filter.  
The Eq(2) shows the characteristics of hybrid active power filter. In this equation, ZF is the impedance of 
passive filter, ILh is the load harmonic current, ZS is the system impedance. Associate with Eq(1) and Eq(2), K 
is the resistance to damp resonance between ZF  and Zs. Choosing the larger value of K will significantly 
reduce the harmonic content in the actual current, however, the larger value of K will increase the rated power 
of the active filter. 

KZZ

Z

I

I

FS

F

Ih

sh

++
=  (2) 

441



 

Zs Zs

ZF ZFILh ILh
Ish Ish

KIsh

 

Figure 3: The single-phase equivalent principle of harmonic compensation 

4. The performance of hybrid active power filter in power distribution system 

4.1 Test environment and test parameters 

The test of harmonic suppression of the hybrid active power is depended on a three-phase shunt power 
laboratory, which is implemented and tested in the compensation of a six-pulse uncontrolled rectifier. As 
shown in figure4, the VSI voltage contains a capacitor bank, and the parameters of the capacitor bank is 6800
μF and DC-450V, and a dual DSP (TMS320C32 and TMS320F240)  and CPLD circuit are adopted in this 
digital control system, which sampling period is 200 μs. The detail parameters of the test power laboratory 
are shown in table3. 

es Ls CF

LF

L
R

VSI

Cd

 

Figure 4: The environment of performance test for harmonic suppression 

Table 2:  Test parameters of harmonic suppression in laboratory 

No. Parameters Value 
1 Utility impedance 0.5mH 
2 Utility three-phase voltage 380V 
3 DC-voltage 200V 
4 CF 50μF 
5 LF 4mH 

 
Owing to the single LC filter of 7th of harmonic suppression, there are several amount of harmonic such as 5th, 
11th and 13th of remaining harmonics in the circuit. Therefore, the PI current controller which is made up of 
generalized integrators is used as the remaining harmonics suppression. The PI current controller in stationary 
frame is depicted in figure5. In figure5, is* is the grid current reference, Ki is the integral coefficient, and the 
VAPF is the violate reference. This figure is use to realize the digital generalized integrators. 

442



∑ 

K

is

Uc*eis
*

+

-

+

+

h = 5,11,13,17,19

 

Figure 5: The structure of the PI current controller 

For reducing the computation time of harmonics suppression, the generalized integrators are implemented by 
iterative arithmetic. When generalized integrators are used, the harmonic attenuation rate is shown in Figure 
6. Figure 6 illustrates that the 5th, 11th, 13th, 17th and 19th harmonic current are eliminated effectively by reason 
of generalized integrators in this circuit, and the stable experimental results for harmonic compensation has 
been also shown in figure 6. 

102 103
-150

-100

-50

0

Frequency(Hz)

Ish/ILh
(dB)

 

Figure 6: The harmonic attenuation rate under generalized integrators 

In order to verify the filtering effect, the Matlab software is used to build the simulation model of the active 
filter, and the simulation waveform is shown in Figure 7. From figure 7 the active filter is used to compensate 
harmonics and reactive current, which can compensate the harmonic and reactive current in the load at the 
same time. This figure shows that the current waveform has a wonderful compensation effect with the help of 
the hybrid active power filter. 

t/s

is/A

is/A

t/s

(b) The current waveform after harmonic compensation 

(a) The fundamental current waveform  

 

 Figure 7: The difference current waveforms between the fundamental current and compensation current 

443



5. Conclusions 

This paper puts forward a design method of the hybrid active power filter based on harmonics detection and 
minimum current principle of harmonic compensation, and on the basis of damage and causes of the 
harmonics, several solutions to harmonics problems are analyzed to harmonic suppression, such as 
prevention method, passive filter, insolation transformer and active harmonic filter. In addition to these 
suppression measurements, many power-monitoring devices are now commercially available from a variety of 
manufacturers to measure and record the harmonic levels. After taking the appropriate methods to determine 
the harmonic levels, the best solution to harmonic suppression should be chose from the harmonic source and 
cause. 
Due to the characters of harmonics composition and the consideration of high rate of quantity and cost, a 
hybrid active power filter method which is based on harmonics detection has been applied to harmonics 
suppression. The hybrid active power filter is composed of active power filter, passive power filter and in 
series of generalized integrators. Then according to minimum current principle of harmonic compensation, the 
compensation performance of hybrid active power filter in power distribution system has been analyzed and 
verified by Matlab simulation in laboratory. 
The stable current experimental results shows this power filter in this paper is going quite well effect on 
harmonic compensation in circuit, and this hybrid filter which connects in series active filter and passive filter 
improves the compensations performance remarkably, meanwhile avoiding the expensive initial cost. This 
hybrid active power filter in this paper has their both respective merits of the active power filter and the passive 
power filter, leading the development of electric reliability and quality. 

Reference 

Biricik S., Redif S., 2014, Real-time control of shunt active power filter under distorted grid voltage and 
unbalanced load condition using self-tuning filter, let Power Electronics, 7(7): 1895-1905. Doi: 10.1049/iet-
pel.2013.0924 

Daniel P. Palomar., Convex Optimization in Signal Processing and Communications, Science Press, Beijing. 
Dash SK., Panda G., Ray PK., Pujari SS., 2016, Realization of active power filter based on indirect current 

control algorithm using Xilinx system generator for harmonic elimination, International Journal of Electrical 
Power & Energy Systems, 74: 420-428. Doi: 10.1016/j.ijepes.2015.08.010 

Feng F., Ai C., Xu H., Cui Z., Gao C., 2015, Research on the condition model of drilling fluid non-retention in 
eccentric annulus, 33(1): 9-16.  

Moran L., Diaz M., Higuera V., 1995, A three-phase active power filter operating with fixed switching frequency 
for reactive power and current harmonic compensation, IEEE Transactions on Industrial Electronics, 42(4): 
402-408. Doi: 10.1109/41.402480 

Singh S.N., Singh D.K., 2015, Study of combined free convection and surface radiation in closed cavities 
partially heated from below, International journal of heat and technology, 33(2):1-8. Doi: 
10.18280/ijht.330201 

Tang Y., Loh PC., Wang P., Choo FH., 2012, Generalized Design of High Performance Shunt Active Power 
Filter With Output LCL Filter, IEEE Transactions on Industrial Electronics, 59(3): 1443-1452. Doi: 
10.1109/TIE.2011.2167117 

Wu L., Li T., Chen Z., Li H., 2015, A new capacitive borehole tiltmeter for crustal deformation measurement 
and its performance analysis. International Journal of Mining Science & Technology, 25(2): 285-290. Doi: 
10.1016/j.ijmst.2015.02.018 

Xiao Z., Deng X., Yuan R., Guo P., 2014, Shunt active power filter with enhanced dynamic performance using 
novel control strategy, let Power Electronics, 7(12):3169-3181. 

Zeng Z., Yang JQ., Chen SL., Huang J., 2014, Fast-Transient Repetitive Control Strategy for a Three-phase 
LCL Filter-based Shunt Active Power Filter, Journal of Power Electronics, 14(2):392-401. 

 

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