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Engineering, Technology & Applied Science Research Vol. 9, No. 6, 2019, 4883-4885 4883 
 

www.etasr.com Chakravorty & Saraswat: Improving Power Flow Capacity of Transmission Lines Using DPFC with … 

 

Improving Power Flow Capacity of Transmission 

Lines Using DPFC with a PEM Fuel Cell 
 

Jaydeep Chakravorty 

Electrical Engineering Department 

Indus University 
Ahmedabad, India 

Jyoti Saraswat 

ALPLA India, Pvt. Ltd. 

Dadra & Nagar Havali 
Gujarat, India 

 

 

Abstract—The electrical power system is one complex 

architecture integrating generation, transmission, distribution, 

and utilization sections. The exponential increase in power 

requirements made this system more complex and dynamic. 

Providing good quality and uninterrupted power has become a 

challenge. In this respect, FACTS devices are playing a vital role 

in improving power quality and also in increasing the 
transmission capacity of lines. In this paper. Distributed Power 

Flow Controller (DPFC), with a PEM fuel cell, has been used in 

an IEEE-14 bus system to improve system power flow capacity. 

The proposed IEEE-14 bus with DPFC has been simulated in 

MATLAB/SIMULINK. The effects are exhibited and analyzed. 

Keywords-DPFC; PEM; power quality   

I. INTRODUCTION  

Uninterrupted electrical power supply is a major 
requirement for the development of a country. To meet the 
increasing need of uninterrupted good quality power is a big 
challenge. Due to the increasing demand of power, power 
system networks are becoming very complex. With very fast 
increase in non-linear loads in the power system, the supply of 
good quality power has become a major problem. To cater 
these needs, FACTS devices are playing a very vital role in 
increasing the efficiency of the transmission system [1-2]. 
Studies conducted in improving power quality by incorporating 
FACTS devices can be seen in [3-11]. Various algorithms have 
also been developed with the help of which it is feasible now to 
efficiently place FACTS devices in the power system, 
something that has drastically reduced the cost of operation and 
also has improved the quality of power transfer [12-13]. This 
paper proposes a method to improve power transfer capability 
of the system with the proposed DPFC with a PEM fuel cell 
[14]. The optimal location of the proposed DPFC has been 
decided with the help of Artificial Algae Algorithm [15]. The 
complete proposed system has been simulated in 
MATLAB/SIMULINK and the result has been compared with 
the system without DPFC in it. 

II. TRANSMISSION LINE REPRESENTATION  

A simple representation of transmission line is show in 
Figure.1 Between bus-i and bus-j, the line admittance is 

��� � ���� �
�

	
���
�
, and the bus voltages are ��∠��and ��∠�� 

respectively. The real ����� and reactive ����� power flowing 
from bus-i to bus-j can be written as: 

��� � ������ � �������� cos��� � ��� sin����	 (1) 
��� � ���� ���� �

 !"
� #��������� sin��� ���� cos����	 (2) 

where, ��� � �� � ��. 
Real power Pji and reactive power Qji flowing from bus j to 

bus i are given by: 

��� � ������ � �������� cos��� � ��� sin���� (3) 
��� � ���� ���� �

 !"
� #��������� sin��� ���� cos����	 (4) 

 

 
Fig. 1.  Transmission line representation 

III. DPFC MODEL 

In this model, DPFC with a PEM fuel cell has been used. 
The complete representation DPFC with a PEM fuel cell has 
been discussed in [14]. The complete MATLAB model of is 
shown in Figure 2.  

IV. IEEE-14 BUS SYSTEM 

The IEEE-14 bus system SIMULINK model is shown in 
Figure 3. The location of DPFC has been decided by the 
application of Artificial Algae Algorithm [15]. The numerical 
data and the parameters are taken from [16]. The proposed 
IEEE-14 bus system has 19 lines, 11 load buses, 1 slack bus 
and 2 generator buses.  

V. ARTIFICIAL ALGAE ALGORITHM  

The optimal location of DPFC has been has been 
determined by the application of artificial algae algorithm [15], 
which gives very good results for nonlinear optimization [17]. 

Corresponding author: Jaydeep Chakravorty (jaydeepchak@yahoo.co.in ) 



Engineering, Technology & Applied Science Research Vol. 9, No. 6, 2019, 4883-4885 4884 
 

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In this algorithm an artificial algae colony represents each 
individual. The process of this technique has three steps, 
Helical Movementt, Reproduction and Adaptation. After each 
cycle of operation, the population in the colonies is modified in 
the helical movement phase. It is assumed that the colony 
swims in all three dimensions in order to reach the light. 
Colony’s energy will increase and its movement will slow 
down as it reaches the light. To increase the local search ability 

of the algorithm as the colonies approach the light, the 
algorithm starts searching the space with smaller and smaller 
steps. On the other hand, the colonies which are far away from 
the light will search the space with bigger steps, which in turn 
increases global search ability. Artificial algae algorithm has a 
strong balance between exploration and exploitation. The 
pseudo code is given in Figure 4. 

 

 
Fig. 2.  DPFC with a PEM fuel cell [14] 

 
Fig. 3.  IEEE-14 bus system 

VI. RESULTS AND DISCUSSION 

The voltage profile of the system with and without the 
application of DPFC when applied to the IEEE 14 bus 
system is shown in Figure 5. The optimal location of DPFC 

was obtained by the application of artificial algae algorithm. 
The IEEE 14 bus system was tested first without the DPFC 
in the system and then with the DPFC embedded in the 
system. 



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1. To generate initial population with random solution of n 
algal colonies. 

2. Evaluate f(xi) for i = 1,2,3, ……, D 
3. While the stopping condition is not reached 
4. For i = 1 to n 
5. While the energy of the i-th colony is not finished 
6. Modify the colony 

7. End while 
8. End for 
9. Apply Evolution strategy 
10. Apply Adaptation strategy 
11. End of while 

Fig. 4.  Artificial algae algorithm pseudo code 

 
Fig. 5.  Voltage profile 

The real and reactive power loss values for normal load 
condition, 125% load and 150% load are shown in Table I 
and II respectively. 

TABLE I.  REAL POWER LOSS 

 Normal load 125% load 150% load 

 
Without 

DPFC 

With 

DPFC 

Without 

DPFC 

With 

DPFC 

Without 

DPFC 

With 

DPFC 

Real Power 

Loss (MW) 
14.5 13.2 26.01 24.99 38.32 35.57 

TABLE II.  REACTIVE POWER LOSS 

 Normal load 125% load 150% load 

 
Without 

DPFC 

With 

DPFC 

Without 

DPFC 

With 

DPFC 

Without 

DPFC 

With 

DPFC 

Reactive Power 

Loss (MW) 
29.3 28.5 69.45 67.3 98.23 96.6 

 

From the above results it can be concluded that by the 
proper application of DPFC in the system, its voltage profile 
can be improved. The application of the proposed DPFC 
with a PEM fuel cell has reduced the real and reactive power 
loss in the system at different load conditions. 

VII. CONCLUSION 

In this paper, a 14 bus IEEE system with DPFC has been 
simulated in MATLAB/SIMULINK. It was observed that the 
power flow capacity of the system with DPFC is more than 
the one of the same system without DPFC. The simulation of 
the proposed system took a very long time to give the output. 
In the future, some modifications in the design of the system 
may be applied in order to reduce simulation time. 

 

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