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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 5 Issue 5, July-August 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 913
Optimization of FLC Using PSO – FF Hybrid Algorithm Using
DSTATCOM for Power Quality Improvement
Kamal Kumar1
, Poonam Kumari2
1
Student, 2
Assistant Professor
1,2
University Center of Instrumentation and Microelectronics, Punjab University, Chandigarh
ABSTRACT
Electrical power is the most established form of power and the people
is greatly dependant on the electric power supply. A life cannot be
imagined with no supply of electricity. Most of the industrial and
domestic loads require uninterrupted and high standard continuous
power supply. The electric power suppliers and consumers are
getting more concerned about the quality of electric power that is
provided to them and which is consumed by the users. Therefore,
retaining the qualitative power is of most important [1].
In this research paper our main aim is to optimize and Analysed the
performance of PSO – FF hybrid algorithms [2] for the control of
DSTATCOM in power quality improvement [3] and the results are
analysed with the help of MATLAB software.
KEYWORDS: DSTATCOM, Fuzzy Logic Controller(FLC) base
rule, optimized membership function , PSO – FF hybrid algorithm,
flowcharts, matlab simulation
How to cite this paper: Kamal Kumar |
Poonam Kumari "Optimization of FLC
Using PSO – FF Hybrid Algorithm
Using DSTATCOM for Power Quality
Improvement"
Published in
International Journal
of Trend in
Scientific Research
and Development
(ijtsrd), ISSN: 2456-
6470, Volume-5 |
Issue-5, August 2021, pp.913-927, URL:
www.ijtsrd.com/papers/ijtsrd44962.pdf
Copyright Β© 2021 by author (s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
INTRODUCTION
The Power Quality is defined as the degree to which
the power supply access the ideal case of stable,
balance, uninterrupted, zero distortion and
disturbance free power supply[1]. Upgrade power
quality is the progressive force for today’s developed
engineering areas. Most of the industrial and domestic
loads require uninterrupted and high standard
continuous power supply. Manufacturer and
consumers needs faster, stable and more proficient
machinery. Power quality (PQ) is very vast subject
and has many factors that affect it. These factors
includes voltage changes, sag, transients, noise,
harmonics, voltage unbalance, etc[4]
Optimization Techniques [5] – optimization is the
method of searching for the best output values based
on some given conditions. Optimization, in a
universal sense has the objective of obtaining the
most excellent achievable result given in a variety of
choices. Thus optimizing a known function is to look
for the parameters which guide to the biggest, or
smallest, achievable result. The selection process of
an objective function is not
inconsequential, because the optimal selection with
respect to a criterion will not be appropriate for a new
criterion. The choice of the objective function is the
most significant decision in the entire optimization
procedure. The aim of a optimization problem will be
to maximize or to numerical value.
A. Hybrid Optimization Algorithm[2]
Hybrid optimization algorithm which put together
both PSO and a part of FF algorithm. The hybrid
algorithm is bringingin to improve the search capacity
of PSO. The division of FF algorithm which is the
Cartesian distance among two swarm fireflies is used
in the PSO algorithm to speed up the convergence
speed.
Hybrid algorithm can overcome the disadvantages of
both the PSO and FF algorithms and has a practical
meaning. The high speed computation property of
PSO algorithm is combined with FF algorithm so as to
improve the global search capability.
IJTSRD44962
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 914
Literature Survey
οƒ˜ Power Quality Improvement has been fast
growing and interesting area in modern society.
There are a lots of various causes for the vast
increase in the attention in power quality. These
causes are voltage unbalance, distortion, voltage
sag, noise, transients etc[4].
οƒ˜ A lot of loads at the power supply lines like
industry equipments, variable speed drives,
domestic utilities etc. have suffered from the
problems of voltage variations, harmonic
distortion, transients and disturbances. Above all
power quality mainly connected with issues[4]
like retaining a stable voltage on the common
connecting point without considering the any
voltage variations. There are a lot of
techniques[6] to overcome the voltage sag effect
and among them the best method is to attach a
FACT device at the common coupling point.
FACTS devices play a important role in voltage
sag mitigation[7]. DSTATCOM is one of the
FACTS devices that can be used for the
compensation of power quality issues[8].
DSTATCOM can advance the progressive
performance of the power quality of the power
system[3]. The FF algorithm is a population based
algorithm to locate the global optimal solution
based on swarm intelligence, examining the
foraging behaviour of fireflies[9]. The major
function of the firefly’s flash is to function as
indication system to draw the attention of other
fireflies .
PSO algorithm is an inhabitants based stochastic
optimization method. A basic alternative of the PSO
algorithm performs by possessing a inhabitants
(called a swarm) of aspirant solution (called particles).
The above particles are stimulated in the region of
search-area based upon a small number of
uncomplicated formulae. Compared to other
optimization techniques the PSO algorithm is simple
to realize, there are a small number of parameters to
adjust and displays stable convergence[5]. By the
application of the hybrid optimization algorithm the
performance of a power network can be enhanced to a
greater extend.
DSTATCOM: It is a FACTS device which is attached
in parallel to the system. It has become an effective
device for power quality enhancement. DSTATCOM
is one of the useful method for controlling the
voltage[10]. The consequence of voltage sag can be
regulated by using DSTATCOM. The inertia effect
due to mechanical elements is not present in it. The
basic structure of the DSTATCOM is three phase in
nature, connected in shunt to the system and to the
connected load[11].
Modelling of the Test System in MATLAB for Three Phase Fault with Fuzzy Logic Controlled
DSTATCOM
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 915
In this paper there are two inputs for the fuzzy logic
controller. They are error (E) and change in error
(CE). The error output come from the error detector
and change in that error are given as the inputs to the
fuzzy logic controlle[12]r. For the given two inputs
and one output there are seven linguistic terms each.
Here input 1 is E (error), input 2 is CE (change in
error) and the output is control signal. From the rule
base table it is evident that there are 49 rules in total.
The seven linguistic terms[12] are named as NB, NM,
NS, ZE, PS, PM and PB.
οƒ˜ The above linguistic terms can be expanded as
follows
οƒ˜ NB - Negative Big
οƒ˜ NM - Negative Medium
οƒ˜ NS - Negative Small
οƒ˜ ZE - Zero
οƒ˜ PS - Positive Small
οƒ˜ PM - Positive Medium Table : Fuzzy Logic
Control(FLC) Rule Base[12]
οƒ˜ PB – Positive Big
οƒ˜ For understanding a few base rules of FLC can be
expanded as[12] :
οƒ˜ 1st
Rule : if E (error) is NB (Negative Big) and CE
(change in error) is NB then the control signal is
NB.
οƒ˜ 2nd
Rule : if E is NM and CE is NB then the
control signal is NB.
οƒ˜ 49th
Rule : if the E is PB and CE is PB then the
control signal is PB.
Table : Fuzzy Logic Control(FLC) Rule
Properties of Input and Output Terms in the FLC
VariableName Variable
Type
Range
Error Input 1 [-5 5]
Change inError
Input 2 [-5 5]
ControlSignal Output [-10 10]
Optimization Of Fuzzy Logic Controller Using
HybridOptimization Technique[2]
Hybrid optimization technique is an optimization
algorithm which is a combination of PSO algorithm
andFF algorithm. Hybrid algorithm is almost similar
to the PSO algorithm. But during the velocity and
position updating process, it makes use of the FF
algorithm. At that time the distanceof the particle from
pbest and gbest are calculated and is applied in the
equation for updating the values. The steps involved in
the hybrid optimization algorithm are given below
Step 1: Define the initial particle population and
randomlytake initial position and speed of the particle
Step 2: Initialise pbest with a copy of initial position
value Step 3: Find out the fitness value for each
particle
Step 4: Check whether the fitness value is better to
the best fitness value so far. If thatvalue is superior
then set present value as the recent pbest.
Step 5: Choose the particle with the most excellent
fitness value of the entire particlesas the gbest
Step 6: Find the distance of each particle from pbest
and gbestStep 6: Find particle velocity and renew
particle position
Step7 : if highest iteration number is not reached go to
step 3 or else stop the process.
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 916
Reach Max. Iteration N
Y
End
Update particle’s new position and velocity
Evaluate distance between gbest and xi
Evaluate distance between pbest and xi
Assign best particle’s pbest as gbest
N
Keep
Previous
Assign current fitness
function as Pbest
Evaluate fitness function for each particle,
pbest and gbest values
Is
current fitness
function value
better than pbest
Start
Initialise the condition of each particle
FLOW CHART OF HYBRID OPTIMIZATION ALGORITHM[2]
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 917
In the firefly algorithm the distance between two
fireflies increases as the brightness between them
decreases. In hybrid optimization algorithm the
distance between pbest, (parameter in the PSO
algorithm) and the position xi can be evaluated in the
Cartesian framework by the following equation
rpxi = i,n – xi,n)2
where rpxi is the distance between gbesti and xi which
are considered as two swarm fireflies and d is the
dimension of the search space.
The equation between gbesti and the position xi is
rgxi = i,n – xi,n)2
where rgxi is the distance between gbesti and xi
The new velocity and position of each particle is
assessed by the equations given below.
Vi
n+1
= w⁎vi
n
+ r1 ⁎ 2
pxi ⁎ (pbesti β‚‹ xi
k
) + r ⁎
2
gxi ⁎ (gbesti β‚‹ xi
n
) + Ξ±(gbesti β‚‹ 0.5)
x
i
n+1
= xi
n
+ vi
n+1
where, w – inertia weight factor; c1 & c2 – acceleration
constants
r1 & r2 – random numbers b/w 0 and 1
vi
(t)
– velocity of the particle I in nth iteration
xi
(t)
– position of particle I in nth iteration
selection of w gives equilibrium b/w global and local
explorations and it is set according to the equation
given below
w = wmax((wmax – wmin) ⁎ )
wmax – maximum value of inertia weight
wmin – minimum value of inertia weight
t – current iteration number
T – maximum number of iteration
The values of different parameters taken in the hybrid
optimization algorithm aresame as PSO algorithm
and Firefly algorithm. The gbest value found after
the completion of the iteration process in the hybrid
optimization algorithm is the optimized value of the
output variable of the fuzzy logic inference system.
FLC RULE BASE AFTER USING HYBRID
OPTIMIZATION ALGORITHM
RESULTS :
CASE 1 : SIMULATION WITH FUZZY LOGIC
CONTROLLED DSTATCOM : the fault is applied
for a time period of 0.6s to 0.7s. the fault resistance is
taken as 0.66 ohm. The simulation time is taken as 1s.
this given data is applied for all faults like three phase
fault, double line to ground fault, and single line to
ground fault.
The fuzzy logic control DSTATCOM acted
effectively during faults and reduces the voltage sag.
Fig : Test system output without any fault applied
Fig : Test System Output without Connecting
DSTATCOM during Fault
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 918
Fig : Test system output with DSTATCOM during fault.
Selected signal: 50 cycles. FFT window (in red): 5
1
0
-
0.3 0.5 0.6
0.7
0.8 1
Fundamental (50Hz) = 0.9433 , THD=
5
4
3
0 20 40 60 80 100
Frequency
Selected signal: 50 cycles. FFT window (in red): 5
1
0.5
0.3 0.5 0.6 0.7 0.8 0.9
Fundamental (50Hz) = 0.9228 , THD=
5
4
3
0 100 200 300 400 500 600 700 800 900
1000
Fig: Fuzzy Logic Controlled DSTATCOM during Three phase fault- phase A
Fig : FLC DSTATCOM during double line to ground fault phase B
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 919
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9326 , THD= 1.46%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Fundamental (50Hz) = 0.9444 , THD= 0.70%
5
4
3
0
0 200 400 600 800 1000
Frequency (Hz)
1
0.8 0.9
0.5 0.6 0.7
0.3 0.4
1
0
Selected signal: 50 cycles. FFT window (in red): 5 cycles
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0
-0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9364, THD= 0.92%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Fig: Fuzzy Logic Controlled DSTATCOM during three phase fault phase C
Fig : FLC DSTATCOM during double line to ground fault phase A
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 920
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0
-0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9498, THD= 0.69%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9498, THD= 0.52%
0.12
0.1
0.08
0 100 200 300 400 500 600 700 800 900 1000
Fig : FLC DSTATCOM during double line to ground fault phase C
Fig : FLC DSTATCOM during single line to ground fault phase A
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 921
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9502 , THD= 0.43%
0.12
0.1
0.08
0 100 200 300 400 500 600 700 800 900 1000
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9513, THD= 0.32%
0.12
0.1
0.08
0 100 200 300 400 500 600 700 800 900 1000
Fig : FLC DSTATCOM during single line to ground fault phase B
Fig : FLC DSTATCOM during single line to ground fault phase C
In the above case the performance of DSTATCOM with FLC is given in the graph.
The THD analysis of the system during fault is also given. It is evident from the
results that the DSTATCOM with FLC can reduce the effect of voltage sag.
CASE 2 : SIMULATION OF HYBRID – FLC DSTATCOM.
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 922
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9528 , THD= 0.62%
5
4
3
0 200 400 600 800 1000
Frequency (Hz)
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9508 , THD= 0.74%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Fig : Hybrid PSO –FF algorithm optimized Fuzzy controlled DSTATCOM during
three phase fault phase A
Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during
three phase fault phase B
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 923
Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM three phase fault phase C
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9517 , THD= 0.72%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during
double line to ground fault phase A
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 924
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0
-0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9608 , THD= 0.68%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Selected signal: 50 cycles. FFT window (in red): 5 cycles
1
0.5
0
-0.5
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Fundamental (50Hz) = 0.9678 , THD= 0.63%
5
4
3
0 100 200 300 400 500 600 700 800 900 1000
Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM double line to
ground fault phase B
Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM double line to
ground fault phase c
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 925
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10
-3
Fundamental (50Hz) = 0.9760 , THD= 0.01%
1
0.8
0.6
0 100 200 300 400 500 600 700 800 900 1000
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10
-4
Fundamental (50Hz) = 0.9773 , THD= 0.01%
3.5
3
2.5
2 0 100 200 300 400 500 600 700 800 900 1000
Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during
single line to ground fault phase B
Fig: : Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM single line to
ground fault phase A.
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 926
In the above case the performance of hybrid optimization algorithm optimized DSTATCOM provided an
improved result in voltage sag mitigation. The performance of hybrid algorithm optimized DSTATCOM is given
in the figures above. The THD analysis during various faults is also given. It is evident from the test results
that the hybrid algorithm optimized DSTATCOM can effectively mitigate the voltage sag problems. The THD
can also be controlled efficiently using hybrid algorithm optimization. The performance of hybrid algorithm
optimized DSTATCOM in voltage sag reduction is much better[2]
Table : Comparison of FLC and Hybrid – FLC using DSTATCOM during Three Phase Fault
Phase A Phase B Phase C
Voltage
in pu
THD% Voltage
in pu
THD% Voltage
in pu
THD%
FLC DSTATCOM 0.9433 0.65 0.9228 1.79 0.9326 1.46
Hybrid -FLCDSTATCOM 0.9528 0.62 0.9508 0.74 0.9517 0.72
.
Table : Comparison of FLC and Hybrid – FLC using DSTATCOM during Double Line to Ground Fault.
Phase A Phase B Phase C
Voltage in
pu
THD% Voltage
in pu
THD% Voltagein
pu
THD%
FLC DSTATCOM 0.9444 0.70 0.9364 0.92 0.9498 0.69
Hybrid -FLC
DSTATCOM
0.9627 0.64 0.9608 0.68 0.9678 0.63
Table : Comparison of FLC and Hybrid – FLC DSTATCOM during Single Line to Ground Fault
Phase A Phase B Phase C
Voltagein
pu
THD% Voltage
in pu
THD% Voltagein
pu
THD%
FLC DSTATCOM 0.9498 0.52 0.9502 0.47 0.9513 0.32
Hybrid -FLCDSTATCOM 0.9760 0.01 0.9733 0.01 0.9767 0.01
Selected signal: 50 cycles. FFT window (in red): 5 cycles
0.5
0
0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10
-4
Fundamental (50Hz) = 0.9767 , THD= 0.01%
3.5
3
2.5
2 0 100 200 300 400 500 600 700 800 900 1000
Fig : Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM single
line to ground phase c
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 927
CONCLUSION : It is identified that one of the ways
to mitigate the voltage sag is by means of
DSTATCOM[10]. In order to verify or examine
whether voltage sags can mitigate by means of
DSTATCOM or not, MATLAB Simulink was
selected in order to perform simulation for the
distribution scheme and mitigate the voltage sag.
Based on the results and simulations that have been
prepared, it can be illustrated and shown that
DSTATCOM device is able to overcome the
voltage sag issue.
During the time of fault in the system voltage sag
occurs in the system and there is no control over the
system without DSTATCOM. In this case the voltage
sag cannot be regulated. Fuzzy controlled
DSTATCOM offers much more enhancement in
voltage sag mitigation[13]. At the time of voltage
sag, the magnitude of voltage output of the system
with Fuzzy controlled DSTATCOM is superior than
that of the system with PI controlled DSTATCOM
and it is much more increased by the application of
hybrid optimization technique . From the test results it
can be seen that the performance of hybrid
optimization algorithm is much better than other
optimization techniques.
REFERENCES :
[1] Von Meier , Alexandra – Electric Power System
: A conceptual introduction.
[2] Chai – Feng Juang – Presents a new hybrid
optimization techniques using genetic algorithm
techniques and PSO algorithm techniques.
[3] M.K Mishra – describes the various application
of DSTATCOM in power qualityimprovement.
[4] A.T.de almeida – Power quality problems and
new solution.
[5] S. Mishra – describe the various optimization
techniques for the damping of model oscillation
in power system.
[6] S.S. Choi – describes the various techniques of
voltage sag mitigation.
[7] P.Wang – studied the mitigation of voltage sag
by FACTS devices.
[8] A. Ghosh – describes the information of
DSTATCOM in load compensation in
distribution system.
[9] X.S.Yang – various application of FF algorithm
in power system design.
[10] P.S Sensarma – explains the mitigation of
voltage sag by the application of
DSTATCOM.
[11] P. Rao – describe the control scheme of
DSTATCOM.
[12] E.H.Mamdami – describes about the linguistic
variables , rules and membership function in the
design of fuzzy logic based controller.
[13] P.K Dash – noval design procedure for the
design of FLC for the controlling of FACT
devices.
[14] J.V.Milanovic – describes about the various
kind of faults and their effects on the
distribution system.

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PSO-FF Hybrid Algorithm for DSTATCOM Power Quality

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 5 Issue 5, July-August 2021 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 913 Optimization of FLC Using PSO – FF Hybrid Algorithm Using DSTATCOM for Power Quality Improvement Kamal Kumar1 , Poonam Kumari2 1 Student, 2 Assistant Professor 1,2 University Center of Instrumentation and Microelectronics, Punjab University, Chandigarh ABSTRACT Electrical power is the most established form of power and the people is greatly dependant on the electric power supply. A life cannot be imagined with no supply of electricity. Most of the industrial and domestic loads require uninterrupted and high standard continuous power supply. The electric power suppliers and consumers are getting more concerned about the quality of electric power that is provided to them and which is consumed by the users. Therefore, retaining the qualitative power is of most important [1]. In this research paper our main aim is to optimize and Analysed the performance of PSO – FF hybrid algorithms [2] for the control of DSTATCOM in power quality improvement [3] and the results are analysed with the help of MATLAB software. KEYWORDS: DSTATCOM, Fuzzy Logic Controller(FLC) base rule, optimized membership function , PSO – FF hybrid algorithm, flowcharts, matlab simulation How to cite this paper: Kamal Kumar | Poonam Kumari "Optimization of FLC Using PSO – FF Hybrid Algorithm Using DSTATCOM for Power Quality Improvement" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456- 6470, Volume-5 | Issue-5, August 2021, pp.913-927, URL: www.ijtsrd.com/papers/ijtsrd44962.pdf Copyright Β© 2021 by author (s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0) INTRODUCTION The Power Quality is defined as the degree to which the power supply access the ideal case of stable, balance, uninterrupted, zero distortion and disturbance free power supply[1]. Upgrade power quality is the progressive force for today’s developed engineering areas. Most of the industrial and domestic loads require uninterrupted and high standard continuous power supply. Manufacturer and consumers needs faster, stable and more proficient machinery. Power quality (PQ) is very vast subject and has many factors that affect it. These factors includes voltage changes, sag, transients, noise, harmonics, voltage unbalance, etc[4] Optimization Techniques [5] – optimization is the method of searching for the best output values based on some given conditions. Optimization, in a universal sense has the objective of obtaining the most excellent achievable result given in a variety of choices. Thus optimizing a known function is to look for the parameters which guide to the biggest, or smallest, achievable result. The selection process of an objective function is not inconsequential, because the optimal selection with respect to a criterion will not be appropriate for a new criterion. The choice of the objective function is the most significant decision in the entire optimization procedure. The aim of a optimization problem will be to maximize or to numerical value. A. Hybrid Optimization Algorithm[2] Hybrid optimization algorithm which put together both PSO and a part of FF algorithm. The hybrid algorithm is bringingin to improve the search capacity of PSO. The division of FF algorithm which is the Cartesian distance among two swarm fireflies is used in the PSO algorithm to speed up the convergence speed. Hybrid algorithm can overcome the disadvantages of both the PSO and FF algorithms and has a practical meaning. The high speed computation property of PSO algorithm is combined with FF algorithm so as to improve the global search capability. IJTSRD44962
  • 2. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 914 Literature Survey οƒ˜ Power Quality Improvement has been fast growing and interesting area in modern society. There are a lots of various causes for the vast increase in the attention in power quality. These causes are voltage unbalance, distortion, voltage sag, noise, transients etc[4]. οƒ˜ A lot of loads at the power supply lines like industry equipments, variable speed drives, domestic utilities etc. have suffered from the problems of voltage variations, harmonic distortion, transients and disturbances. Above all power quality mainly connected with issues[4] like retaining a stable voltage on the common connecting point without considering the any voltage variations. There are a lot of techniques[6] to overcome the voltage sag effect and among them the best method is to attach a FACT device at the common coupling point. FACTS devices play a important role in voltage sag mitigation[7]. DSTATCOM is one of the FACTS devices that can be used for the compensation of power quality issues[8]. DSTATCOM can advance the progressive performance of the power quality of the power system[3]. The FF algorithm is a population based algorithm to locate the global optimal solution based on swarm intelligence, examining the foraging behaviour of fireflies[9]. The major function of the firefly’s flash is to function as indication system to draw the attention of other fireflies . PSO algorithm is an inhabitants based stochastic optimization method. A basic alternative of the PSO algorithm performs by possessing a inhabitants (called a swarm) of aspirant solution (called particles). The above particles are stimulated in the region of search-area based upon a small number of uncomplicated formulae. Compared to other optimization techniques the PSO algorithm is simple to realize, there are a small number of parameters to adjust and displays stable convergence[5]. By the application of the hybrid optimization algorithm the performance of a power network can be enhanced to a greater extend. DSTATCOM: It is a FACTS device which is attached in parallel to the system. It has become an effective device for power quality enhancement. DSTATCOM is one of the useful method for controlling the voltage[10]. The consequence of voltage sag can be regulated by using DSTATCOM. The inertia effect due to mechanical elements is not present in it. The basic structure of the DSTATCOM is three phase in nature, connected in shunt to the system and to the connected load[11]. Modelling of the Test System in MATLAB for Three Phase Fault with Fuzzy Logic Controlled DSTATCOM
  • 3. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 915 In this paper there are two inputs for the fuzzy logic controller. They are error (E) and change in error (CE). The error output come from the error detector and change in that error are given as the inputs to the fuzzy logic controlle[12]r. For the given two inputs and one output there are seven linguistic terms each. Here input 1 is E (error), input 2 is CE (change in error) and the output is control signal. From the rule base table it is evident that there are 49 rules in total. The seven linguistic terms[12] are named as NB, NM, NS, ZE, PS, PM and PB. οƒ˜ The above linguistic terms can be expanded as follows οƒ˜ NB - Negative Big οƒ˜ NM - Negative Medium οƒ˜ NS - Negative Small οƒ˜ ZE - Zero οƒ˜ PS - Positive Small οƒ˜ PM - Positive Medium Table : Fuzzy Logic Control(FLC) Rule Base[12] οƒ˜ PB – Positive Big οƒ˜ For understanding a few base rules of FLC can be expanded as[12] : οƒ˜ 1st Rule : if E (error) is NB (Negative Big) and CE (change in error) is NB then the control signal is NB. οƒ˜ 2nd Rule : if E is NM and CE is NB then the control signal is NB. οƒ˜ 49th Rule : if the E is PB and CE is PB then the control signal is PB. Table : Fuzzy Logic Control(FLC) Rule Properties of Input and Output Terms in the FLC VariableName Variable Type Range Error Input 1 [-5 5] Change inError Input 2 [-5 5] ControlSignal Output [-10 10] Optimization Of Fuzzy Logic Controller Using HybridOptimization Technique[2] Hybrid optimization technique is an optimization algorithm which is a combination of PSO algorithm andFF algorithm. Hybrid algorithm is almost similar to the PSO algorithm. But during the velocity and position updating process, it makes use of the FF algorithm. At that time the distanceof the particle from pbest and gbest are calculated and is applied in the equation for updating the values. The steps involved in the hybrid optimization algorithm are given below Step 1: Define the initial particle population and randomlytake initial position and speed of the particle Step 2: Initialise pbest with a copy of initial position value Step 3: Find out the fitness value for each particle Step 4: Check whether the fitness value is better to the best fitness value so far. If thatvalue is superior then set present value as the recent pbest. Step 5: Choose the particle with the most excellent fitness value of the entire particlesas the gbest Step 6: Find the distance of each particle from pbest and gbestStep 6: Find particle velocity and renew particle position Step7 : if highest iteration number is not reached go to step 3 or else stop the process.
  • 4. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 916 Reach Max. Iteration N Y End Update particle’s new position and velocity Evaluate distance between gbest and xi Evaluate distance between pbest and xi Assign best particle’s pbest as gbest N Keep Previous Assign current fitness function as Pbest Evaluate fitness function for each particle, pbest and gbest values Is current fitness function value better than pbest Start Initialise the condition of each particle FLOW CHART OF HYBRID OPTIMIZATION ALGORITHM[2]
  • 5. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 917 In the firefly algorithm the distance between two fireflies increases as the brightness between them decreases. In hybrid optimization algorithm the distance between pbest, (parameter in the PSO algorithm) and the position xi can be evaluated in the Cartesian framework by the following equation rpxi = i,n – xi,n)2 where rpxi is the distance between gbesti and xi which are considered as two swarm fireflies and d is the dimension of the search space. The equation between gbesti and the position xi is rgxi = i,n – xi,n)2 where rgxi is the distance between gbesti and xi The new velocity and position of each particle is assessed by the equations given below. Vi n+1 = w⁎vi n + r1 ⁎ 2 pxi ⁎ (pbesti β‚‹ xi k ) + r ⁎ 2 gxi ⁎ (gbesti β‚‹ xi n ) + Ξ±(gbesti β‚‹ 0.5) x i n+1 = xi n + vi n+1 where, w – inertia weight factor; c1 & c2 – acceleration constants r1 & r2 – random numbers b/w 0 and 1 vi (t) – velocity of the particle I in nth iteration xi (t) – position of particle I in nth iteration selection of w gives equilibrium b/w global and local explorations and it is set according to the equation given below w = wmax((wmax – wmin) ⁎ ) wmax – maximum value of inertia weight wmin – minimum value of inertia weight t – current iteration number T – maximum number of iteration The values of different parameters taken in the hybrid optimization algorithm aresame as PSO algorithm and Firefly algorithm. The gbest value found after the completion of the iteration process in the hybrid optimization algorithm is the optimized value of the output variable of the fuzzy logic inference system. FLC RULE BASE AFTER USING HYBRID OPTIMIZATION ALGORITHM RESULTS : CASE 1 : SIMULATION WITH FUZZY LOGIC CONTROLLED DSTATCOM : the fault is applied for a time period of 0.6s to 0.7s. the fault resistance is taken as 0.66 ohm. The simulation time is taken as 1s. this given data is applied for all faults like three phase fault, double line to ground fault, and single line to ground fault. The fuzzy logic control DSTATCOM acted effectively during faults and reduces the voltage sag. Fig : Test system output without any fault applied Fig : Test System Output without Connecting DSTATCOM during Fault
  • 6. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 918 Fig : Test system output with DSTATCOM during fault. Selected signal: 50 cycles. FFT window (in red): 5 1 0 - 0.3 0.5 0.6 0.7 0.8 1 Fundamental (50Hz) = 0.9433 , THD= 5 4 3 0 20 40 60 80 100 Frequency Selected signal: 50 cycles. FFT window (in red): 5 1 0.5 0.3 0.5 0.6 0.7 0.8 0.9 Fundamental (50Hz) = 0.9228 , THD= 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fig: Fuzzy Logic Controlled DSTATCOM during Three phase fault- phase A Fig : FLC DSTATCOM during double line to ground fault phase B
  • 7. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 919 Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9326 , THD= 1.46% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fundamental (50Hz) = 0.9444 , THD= 0.70% 5 4 3 0 0 200 400 600 800 1000 Frequency (Hz) 1 0.8 0.9 0.5 0.6 0.7 0.3 0.4 1 0 Selected signal: 50 cycles. FFT window (in red): 5 cycles Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0 -0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9364, THD= 0.92% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fig: Fuzzy Logic Controlled DSTATCOM during three phase fault phase C Fig : FLC DSTATCOM during double line to ground fault phase A
  • 8. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 920 Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0 -0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9498, THD= 0.69% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9498, THD= 0.52% 0.12 0.1 0.08 0 100 200 300 400 500 600 700 800 900 1000 Fig : FLC DSTATCOM during double line to ground fault phase C Fig : FLC DSTATCOM during single line to ground fault phase A
  • 9. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 921 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9502 , THD= 0.43% 0.12 0.1 0.08 0 100 200 300 400 500 600 700 800 900 1000 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9513, THD= 0.32% 0.12 0.1 0.08 0 100 200 300 400 500 600 700 800 900 1000 Fig : FLC DSTATCOM during single line to ground fault phase B Fig : FLC DSTATCOM during single line to ground fault phase C In the above case the performance of DSTATCOM with FLC is given in the graph. The THD analysis of the system during fault is also given. It is evident from the results that the DSTATCOM with FLC can reduce the effect of voltage sag. CASE 2 : SIMULATION OF HYBRID – FLC DSTATCOM.
  • 10. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 922 Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9528 , THD= 0.62% 5 4 3 0 200 400 600 800 1000 Frequency (Hz) Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9508 , THD= 0.74% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fig : Hybrid PSO –FF algorithm optimized Fuzzy controlled DSTATCOM during three phase fault phase A Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during three phase fault phase B
  • 11. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 923 Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM three phase fault phase C Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9517 , THD= 0.72% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during double line to ground fault phase A
  • 12. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 924 Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0 -0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9608 , THD= 0.68% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Selected signal: 50 cycles. FFT window (in red): 5 cycles 1 0.5 0 -0.5 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fundamental (50Hz) = 0.9678 , THD= 0.63% 5 4 3 0 100 200 300 400 500 600 700 800 900 1000 Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM double line to ground fault phase B Fig: Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM double line to ground fault phase c
  • 13. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 925 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x 10 -3 Fundamental (50Hz) = 0.9760 , THD= 0.01% 1 0.8 0.6 0 100 200 300 400 500 600 700 800 900 1000 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x 10 -4 Fundamental (50Hz) = 0.9773 , THD= 0.01% 3.5 3 2.5 2 0 100 200 300 400 500 600 700 800 900 1000 Fig : Hybrid PSO – FF algorithm optimized fuzzy controlled DSTATCOM during single line to ground fault phase B Fig: : Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM single line to ground fault phase A.
  • 14. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 926 In the above case the performance of hybrid optimization algorithm optimized DSTATCOM provided an improved result in voltage sag mitigation. The performance of hybrid algorithm optimized DSTATCOM is given in the figures above. The THD analysis during various faults is also given. It is evident from the test results that the hybrid algorithm optimized DSTATCOM can effectively mitigate the voltage sag problems. The THD can also be controlled efficiently using hybrid algorithm optimization. The performance of hybrid algorithm optimized DSTATCOM in voltage sag reduction is much better[2] Table : Comparison of FLC and Hybrid – FLC using DSTATCOM during Three Phase Fault Phase A Phase B Phase C Voltage in pu THD% Voltage in pu THD% Voltage in pu THD% FLC DSTATCOM 0.9433 0.65 0.9228 1.79 0.9326 1.46 Hybrid -FLCDSTATCOM 0.9528 0.62 0.9508 0.74 0.9517 0.72 . Table : Comparison of FLC and Hybrid – FLC using DSTATCOM during Double Line to Ground Fault. Phase A Phase B Phase C Voltage in pu THD% Voltage in pu THD% Voltagein pu THD% FLC DSTATCOM 0.9444 0.70 0.9364 0.92 0.9498 0.69 Hybrid -FLC DSTATCOM 0.9627 0.64 0.9608 0.68 0.9678 0.63 Table : Comparison of FLC and Hybrid – FLC DSTATCOM during Single Line to Ground Fault Phase A Phase B Phase C Voltagein pu THD% Voltage in pu THD% Voltagein pu THD% FLC DSTATCOM 0.9498 0.52 0.9502 0.47 0.9513 0.32 Hybrid -FLCDSTATCOM 0.9760 0.01 0.9733 0.01 0.9767 0.01 Selected signal: 50 cycles. FFT window (in red): 5 cycles 0.5 0 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 x 10 -4 Fundamental (50Hz) = 0.9767 , THD= 0.01% 3.5 3 2.5 2 0 100 200 300 400 500 600 700 800 900 1000 Fig : Hybrid PSO–FF Algorithm optimized fuzzy logic controlled DSTATCOM single line to ground phase c
  • 15. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD44962 | Volume – 5 | Issue – 5 | Jul-Aug 2021 Page 927 CONCLUSION : It is identified that one of the ways to mitigate the voltage sag is by means of DSTATCOM[10]. In order to verify or examine whether voltage sags can mitigate by means of DSTATCOM or not, MATLAB Simulink was selected in order to perform simulation for the distribution scheme and mitigate the voltage sag. Based on the results and simulations that have been prepared, it can be illustrated and shown that DSTATCOM device is able to overcome the voltage sag issue. During the time of fault in the system voltage sag occurs in the system and there is no control over the system without DSTATCOM. In this case the voltage sag cannot be regulated. Fuzzy controlled DSTATCOM offers much more enhancement in voltage sag mitigation[13]. At the time of voltage sag, the magnitude of voltage output of the system with Fuzzy controlled DSTATCOM is superior than that of the system with PI controlled DSTATCOM and it is much more increased by the application of hybrid optimization technique . From the test results it can be seen that the performance of hybrid optimization algorithm is much better than other optimization techniques. REFERENCES : [1] Von Meier , Alexandra – Electric Power System : A conceptual introduction. [2] Chai – Feng Juang – Presents a new hybrid optimization techniques using genetic algorithm techniques and PSO algorithm techniques. [3] M.K Mishra – describes the various application of DSTATCOM in power qualityimprovement. [4] A.T.de almeida – Power quality problems and new solution. [5] S. Mishra – describe the various optimization techniques for the damping of model oscillation in power system. [6] S.S. Choi – describes the various techniques of voltage sag mitigation. [7] P.Wang – studied the mitigation of voltage sag by FACTS devices. [8] A. Ghosh – describes the information of DSTATCOM in load compensation in distribution system. [9] X.S.Yang – various application of FF algorithm in power system design. [10] P.S Sensarma – explains the mitigation of voltage sag by the application of DSTATCOM. [11] P. Rao – describe the control scheme of DSTATCOM. [12] E.H.Mamdami – describes about the linguistic variables , rules and membership function in the design of fuzzy logic based controller. [13] P.K Dash – noval design procedure for the design of FLC for the controlling of FACT devices. [14] J.V.Milanovic – describes about the various kind of faults and their effects on the distribution system.