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ASSESSMENT OF VOLTAGE FLUCTUATION AND REACTIVE POWER CONTROL
WITH SVC USING PSO
Article · January 2015
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Muhammad Faizan Tahir
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Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6131
Nov.-Dec
ASSESSMENT OF VOLTAGE FLUCTUATION AND REACTIVE POWER
CONTROL WITH SVC USING PSO
Hafiz Tehzeeb-ul-Hassana*
, Ghulam Murtaza Qamara
, Muhammad Faizan Tahira
, Naseem Abbasb
and Kashif
Mehmooda
a
Department of Electrical Engineering, The University of Lahore. Lahore, Pakistan.
b
Department of Mechanical Engineering, University of Central Punjab Lahore, Pakistan
ABSTRACT—Smart grid novel growth in the arena of power, this is a new scheme and apparatus for producing and distributing
electricity. Smart grids are very important part of the electrical circuit. Distribution Management System (DMS) used by the utilities for the
state Estimation (SE). Basic application distribution control system, evaluation (SE) and the control reactive power). There SE principally
used to monitor and to control the entire distributed network. In the distribution network has a problem voltage profile. It is controlled by
distributed generators (DG), which are located in diverse positions in the system to maintain the voltage within certain limits. Validation
through the implementation on the IEEE 14-bus radial transmission system indicated that PSO is reasonable to achieve the
task. MATLAB software is used for results simulation.
Key Words—FACTS device, state Estimation, Particle Swarm Optimization, Static VAR Compensator.
I. INTRODUCTION
Smart grid increases productivity, uniformity, earning, and
the protection of the electrical system with automated
monitoring and exchange of information between endpoints.
Smart Grid development is ongoing and is expected to be
bright, unwavering, flexible, diverse and fully governable.
Smart Grid also compresses the power outages and moderate
load shedding. Smart grid reduces the power loss,
maintenance and carbon emissions. However, it is difficult to
implement smart grid, because so many problems in the
development and integration, such as the combination of
advanced energy sources has problems two-directional flow
of energy in the current network is unidirectional. There is so
much failure in the existing system, such as lack of
communication and disabled bidirectional energy flow is
literate strategy nets expansion pack monitoring and control.
Smart grid has so many applications, as shown in Figure 1.
Figure 1: Application of Smart Grid
Distribution Management System is a set of applications
considered to control and monitor the whole distribution
system competently & accurately. This serves as a result
support system to help dispatch and field operations staff
to monitor and manage power distribution network,
getting better the reliability and excellence of service in
relationships of immersion downtime, reduce downtime,
keeping adequate frequency measured in hertz and voltage
levels are key transferable in the DMS.[1]
In the modern system of distribution management
(DMS) assessment (SE) are necessary for the observing
and management of the whole distribution system. For that
efficient system operating point can be determined, and
then the consumer receives all the necessary amenities. In
distribution networks have dimensional constraints in
linear currents and power injection at the feeder. The
boundaries cause problems in monitoring the complete
distribution network in accordance with the requirement of
information from all nodes in the system. In this study
distribution control system will be based on these
measurements, as shown in Figure 2.
Figure 2: Distribution Management System
In this research, PSO algorithm is proposed to optimize the
voltage in order to minimize the voltage fluctuation in the
system. The SVC is chosen as the device for compensation
and modeled as a reactive power added to system bus. A
computer simulation were done in the IEEE 14-bus radial
transmission system. The effect of population size on loss
reduction is also investigated.
6132 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015
Nov.-Dec
II.MATERIAL AND METHODS
In electric power system node voltages significantly depend
on the load changes and changes in the network topology.
The voltage may drop significantly, and even when the
network is operating at high loads collapse. This may cause
the relay energized and other voltage-sensitive controls,
leading to extensive load shedding and thus negatively
affecting the consumers and the company's revenues.
Conversely, when the level of the system load is low then
surge may happen due to the effect Ferranti. Capacitive
excessive compensation and over-excitation of synchronous
machines can also occur. Over excitation phenomena of
synchronous machine also appeared due to the Ferranti
effect.
Accordingly, in order to compensate for the effect of heavy
loads and reactive load is constantly changing facts (Flexible
AC Transmission system) device widely used at the present
time of day. These devices are constructed on the basis of
Thyristor Controlled Reactor (TCR) and Voltage Source
Inverters (VSI), such as; Static VAR Compensator (SVC),
thyristor controlled Phase Shifter Transformer (TCPST) and
Unified power flow controller (UPFC) etc.
Static VAR compensator (SVC) is a shunt type FACTS
device defined as a parallel connected static var generated or
absorber whose output is adjusted to exchange capacitive or
inductive current so as to sustain or control specific
measurements of the power system usually the bus voltage in
volts. An electrical equipment for quick action of reactive
power at high voltage electrical transmission system. SVC
are component of the transmission Facts device family, such
as voltage regulation and stabilization of the system. Here the
term "static" discusses to the fact that the SVC has no
moving component (except the on and off switches which do
not move in a normal mode SVC). Before the discovery of
SVC the power factor correction was to keep bulky rotating
machineries such as synchronous condensers. The SVC is a
mechanized impedance device which is deliberate to get the
system closer to the power factor. When reactive load on the
power system is capacitive (leading) then SVC will use
reactors (generally in the form of a thyristor-controlled
reactors) consume VARs from the network which will reduce
the system voltage While inductive (lagging) conditions the
capacitor banks automatically switches, therefore provided
that a higher voltage system.
In this research, a standard power system IEEE-14 bus is
organized. Modeling tool implemented in MATLAB /
SIMULINK tool. It consists of three generator buses usually
the bus number 1 is deliberated as the slack bus. SVC is the
main selling shunt FACTS controller for voltage control in
power systems. A slight variation of load can affect the
voltage profile of the system. Thus, the dynamic
characteristics of the SVC control voltage with varying load
are analyzed.
To evaluate the state estimation, consider the following
assumptions have a distinctive results. [5]
1) The position of the switches and insulators known.
2) Distributed generation values and connected load on each
node are identified.
3) In the substation current and voltage values are known.
4) The output power and power factor will be given if the
distributive generation and loads are stable.
The purpose of assessment of the state is to provide the most
accurate state of the network, considering the redundant
measurements. In fact, however, the accuracy of the
assessment of the state has ever known, since the
measurement without errors is unknown. In this framework,
to maximize the precision of the state estimation is done by
reducing the state of ambiguity.
The weighted least-squares (WLS) is the main problem to
solve tactic SE. WLS is a statistical relationship between the
measurements and state variables. Mathematically, this
relationship can be expressed as follows:
Where
= weight related with each measurement variable i.
= vector on behalf of the measured values.
= equation of state measurements.
X = state variables with the variable loads and DG.
N = number of measurements.
H (X) may be one of the following forms:
a. The branch current
b. power injection to the bus.
c. Load at the bus
d. Node voltage value
For voltage measurement the state estimation has number of
iterations to evaluate the sum of voltage. Each iteration has
internal block shown in figure 3.
Figure 3: Internal block for SE
III. PARTICLE SWARM OPTIMIZATION
Particle Swarm Optimization (PSO) is a biologically
motivated computational technique and optimization method
introduced in 1995 by Eberhart and Kennedy on the
foundation of social behavior of birds clustering and
schooling fish [11]. The number of major changes have been
developed in connection with the increase of the rate of
convergence and the quality of the solution found in the
PSO. Whereas, the basic Particle Swarm Optimization (PSO)
is more suitable for processing of static, a simple
optimization problem. Modification of PSO is intended to
solve the basic problem of peacekeeping operations. The
Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6133
Nov.-Dec
application may show a modified or variant PSO, who were
not and which one modified or variant PSO, be developed.
The theory of particle swarm optimization (PSO) is rising
quickly. PSO has been used in many applications numerous
problems. PSO technique imitates the behavior of the animal
societies that have no front-runner in the cluster or swarm,
such as bird clustering and schooling fish. As a rule, a herd
of animals that do not have leaders will find food at random,
do one of the members of the group that is closest to the
position of the power source. Flocks attain their finest
conditions at the same time through the communication
between members who have already a better position. An
animal that has the best condition will let know him that his
cluster and others will move all together in this place. This
will happen until better conditions or food source found.
PSO technique is the process to get the optimal values of
following the effort of the animal society. Particle swarm
consists of a cluster of particles, where the particles are a
latent solution.
Speed of individual particle can be modified by the
expression as given [9]
= w × v + × × ( )
+ × × ( )
Where
= velocity (speed) of particle i at iterations
w= weight function
The weight function is founded by the expression as [9]
w= × iter
Where
= initial weight equal to 0.9
= initial weight equal to 0.4
= maximum iteration number
iter = current iteration number
& = weight coefficient both equal to 2.
& = random number between 0 and
1.
= current position of particle i at iteration k.
= best position of particle i-th up to the
current iteration.
= best overall position found by the particle
up to the current iteration.
PSO algorithm implemented in a Simulink as displayed in
figure 4.
Figure 4: PSO Implementation
IV. RESULTS AND DISSCUSSION
In order to recognize the efficiency of the recommended
PSO technique, the IEEE 14-bus radial transmission
system was tested to find the convergence of voltage. The
line data and bus data of IEEE 14-bus radial transmission
system are given in appendix 19. The parameters of the
PSO are listed in table 1.
Table 1: Parameters of PSO
Parameters PSO
Population size 5, 10, 15
Inertial weight, w 0.9 – 0.4
Constant, C1 2
Constant, C2 2
Number of iteration performed 30
Rand1 0 to 1
Rand 2 0 to 1
The static VAR compensator installation in the system to
improve the voltage fluctuation by injecting or absorbing
reactive power at bus number 3.Steady state values are used
for designing of the capacitor and inductor values in SVC.
The impact of voltage convergence to the optimization
technique performance was also monitored so that the best
convergence can be identified from the simulation.
General flow chart for particle swarm optimization, managed
as from initial conditions to maximum reach point of
convergence. Update the values for local and global best until
or unless the maximum reach point of convergence for
voltage is not achieved.
6134 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015
Nov.-Dec
Figure 5: Flow chart for PSO
The voltage convergence using PSO for each phase was
amazing. State Estimation results show the monitoring of
voltage at each phase with and without FACT device. Results
for state estimation are given in figure 6.
State Estimation is calculated by using the weighted least
square (WLS) method. Voltages monitored by the
assessment of systems with and without FACT device. In
point of fact that the voltage fluctuation is calculated at each
phase by state estimation respectively. Results represented
that how much fluctuation in voltages at each phase.
The convergence of voltage by using optimizing technique is
extraordinary. Graphically shown the results and convergence
of voltage
Figure 6: State Estimation results
.
Graph 1: Convergence graph for red phase
At red phase PSO results in a graphical representation as
shown in graph 1. To optimize the voltage with particle
swarm optimization technique is done and above graph red
phase convergence is obviously displayed. Absolutely thirty
iterations are made in each phase. PSO results of red phase
with respect to time for both positive and negative cycle
representing the convergence level at each iteration. Every
iteration has a new result with respect to time and converge
the voltage to the sinusoidal wave.
Start
Initial Condition for each particle
(Voltage)
Evaluate convergence point
Checks and update
Pbest and Gbest
Update each individual voltage
and its position
Reach
maximum
iteration
End
Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6135
Nov.-Dec
Graph 2: Convergence graph for yellow phase
At yellow phase PSO outcomes in a graphical representation
as shown in graph 2. To optimize the voltage with particle
swarm optimization technique is done and above graph
yellow phase convergence is obviously displayed. Absolutely
thirty iterations are made for each phase. PSO results of the
yellow phase with respect to time for both positive and
negative cycle representing the convergence level at each
iteration. Every iteration has a new result with respect to time
and converge the voltage to the sinusoidal wave.
Graph 3: Convergence graph for blue phase
At blue phase PSO results in a graphical representation as
shown in graph 3. To optimize the voltage with particle
swarm optimization technique is done and above graph blue
phase convergence is obviously displayed. Absolutely thirty
iterations are made for each phase. PSO results of blue phase
with respect to time for both positive and negative cycle
representing the convergence level at each iteration. Every
iteration has a new result with respect to time and converge
the voltage to the sinusoidal wave.
Table 2: PSO results with respect to time.
Sr.
No
Results of PSO
at Phase Red
Results of PSO
at Phase
Yellow
Results of PSO at
Phase Blue
Time
(sec)
PSO
value
Time
(sec)
PSO
Value
Time
(sec)
PSO
Value
1 3.098e-
07
0.05352 1.452e-
08
-0.0544 1.452e-08 0.0008531
2 0.00021 0.1077 7.516e-
07
-0.1072 0.00021 -0.002349
3 0.00096 0.00987 0.00046 0.004692 0.00096 -0.02181
4 0.00102 0.01278 0.00129 0.01959 0.00101 -0.03998
5 0.00196 0.004446 0.00196 0.03162 0.00246 -0.03709
6 0.00271 -0.002558 0.00271 0.03766 0.00321 -0.03127
7 0.00346 -0.01077 0.00396 0.0513 0.00396 -0.02401
8 0.00421 -0.02042 0.00471 0.06159 0.00471 -0.01543
9 0.00496 -0.02893 0.00546 0.04015 0.00496 -0.006458
10 0.0057 -0.03565 0.0062 0.03531 0.0057 0.0005714
11 0.00645 -0.04038 0.00695 0.02856 0.00645 0.00885
12 0.0077 -0.05324 0.0077 0.02063 0.0072 0.0162
13 0.00845 -0.06219 0.00845 0.01126 0.00795 0.02465
14 0.0092 -0.03894 0.0087 0.002859 0.0087 0.03175
15 0.00995 -0.03311 0.00945 -0.00341 0.00945 0.03708
16 0.0107 -0.02545 0.0102 -0.01207 0.0107 0.04975
17 0.01145 -0.01639 0.01095 -0.02135 0.01145 0.05926
18 0.0117 -0.006893 0.0197 -0.02946 0.0122 0.03816
19 0.01245 -0.000631 0.01245 -0.03594 0.01295 0.03332
20 0.0132 0.007326 0.0137 -0.0502 0.0137 0.02663
21 0.01723 0.01723 0.01445 -0.06157 0.01445 0.01847
22 0.01728 0.02618 0.052 -0.04123 0.01495 0.009333
23 0.01745 0.03369 0.01595 -0.03727 0.01545 0.001557
24 0.01801 0.03933 0.0176 -0.03124 0.0162 -0.004284
25 0.01851 0.05269 0.01745 -0.0235 0.01695 -0.01318
26 0.01872 0.06277 0.0182 -0.01445 0.0177 -0.02199
27 0.01895 0.0404 0.01845 -0.00545 0.01845 -0.02959
28 0.0197 0.03525 0.0192 0.001561 0.0192 -0.03554
29 0.01985 0.02228 0.01975 0.007126 0.01975 -0.03579
30 0.02 0.005131 0.0199 0.008104 0.0199 -0.02279
6136 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015
Nov.-Dec
At each phase PSO results in a tabular demonstration as
shown in table 2. To optimize the voltage with particle
swarm optimization algorithm is practical and in above table
phases convergence is obviously presented. Absolutely thirty
iterations are made for each phase and time difference
between the phases are taken with the difference of five
values of time. PSO results for each phase with respect to
time for both positive and negative cycle representing the
convergence level at each iteration. Every iteration has a new
result with respect to time and converge the voltage to the
sinusoidal wave.
CONCLUSION
In this article a heuristic optimization technique PSO
algorithm has been implemented to optimize State
Estimation and Volt-VAR Control applications of the
modern DMS. Simulations have been conducted on IEEE 14-
bus radial distribution test feeder with minor changes to
integrate the Distributive Generators. Static VAR
compensator attached at bus 3 and control the voltage
fluctuation by injecting and absorbing reactive power into the
system. The SVC is considering only bus 3 and injecting or
absorbing reactive power only to this bus3. State estimation
done according to measurement of voltage measuring the
error coming from 14 bus system without a fact device and
with the fact device. Particle swarm optimization algorithm
is implemented in Simulink and connected to 14 bus system.
The system is connected with the PSO is the last one who
has Static VAR compensator and state estimation done as
well at this 14 bus system. The convergence of particle
(voltage) in PSO was amazing represent as above with
respect to time with thirty iteration in a single cycle of each
phase. At each iteration particle has a new value with respect
to time and converge the particle to the sinusoidal wave.
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ASSESSMENT OF VOLTAGE FLUCTUATION AND REACTIVE POWER CONTROL WITH SVC USING PSO

  • 1. See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/325567675 ASSESSMENT OF VOLTAGE FLUCTUATION AND REACTIVE POWER CONTROL WITH SVC USING PSO Article · January 2015 CITATIONS 0 READS 21 5 authors, including: Some of the authors of this publication are also working on these related projects: magnetically controllable reactor View project Optimal Load Shedding View project Muhammad Faizan Tahir South China University of Technology 5 PUBLICATIONS   13 CITATIONS    SEE PROFILE Kashif Mehmood University of Lahore Thokar Lahore 3 PUBLICATIONS   1 CITATION    SEE PROFILE All content following this page was uploaded by Muhammad Faizan Tahir on 05 December 2018. The user has requested enhancement of the downloaded file.
  • 2. Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6131 Nov.-Dec ASSESSMENT OF VOLTAGE FLUCTUATION AND REACTIVE POWER CONTROL WITH SVC USING PSO Hafiz Tehzeeb-ul-Hassana* , Ghulam Murtaza Qamara , Muhammad Faizan Tahira , Naseem Abbasb and Kashif Mehmooda a Department of Electrical Engineering, The University of Lahore. Lahore, Pakistan. b Department of Mechanical Engineering, University of Central Punjab Lahore, Pakistan ABSTRACT—Smart grid novel growth in the arena of power, this is a new scheme and apparatus for producing and distributing electricity. Smart grids are very important part of the electrical circuit. Distribution Management System (DMS) used by the utilities for the state Estimation (SE). Basic application distribution control system, evaluation (SE) and the control reactive power). There SE principally used to monitor and to control the entire distributed network. In the distribution network has a problem voltage profile. It is controlled by distributed generators (DG), which are located in diverse positions in the system to maintain the voltage within certain limits. Validation through the implementation on the IEEE 14-bus radial transmission system indicated that PSO is reasonable to achieve the task. MATLAB software is used for results simulation. Key Words—FACTS device, state Estimation, Particle Swarm Optimization, Static VAR Compensator. I. INTRODUCTION Smart grid increases productivity, uniformity, earning, and the protection of the electrical system with automated monitoring and exchange of information between endpoints. Smart Grid development is ongoing and is expected to be bright, unwavering, flexible, diverse and fully governable. Smart Grid also compresses the power outages and moderate load shedding. Smart grid reduces the power loss, maintenance and carbon emissions. However, it is difficult to implement smart grid, because so many problems in the development and integration, such as the combination of advanced energy sources has problems two-directional flow of energy in the current network is unidirectional. There is so much failure in the existing system, such as lack of communication and disabled bidirectional energy flow is literate strategy nets expansion pack monitoring and control. Smart grid has so many applications, as shown in Figure 1. Figure 1: Application of Smart Grid Distribution Management System is a set of applications considered to control and monitor the whole distribution system competently & accurately. This serves as a result support system to help dispatch and field operations staff to monitor and manage power distribution network, getting better the reliability and excellence of service in relationships of immersion downtime, reduce downtime, keeping adequate frequency measured in hertz and voltage levels are key transferable in the DMS.[1] In the modern system of distribution management (DMS) assessment (SE) are necessary for the observing and management of the whole distribution system. For that efficient system operating point can be determined, and then the consumer receives all the necessary amenities. In distribution networks have dimensional constraints in linear currents and power injection at the feeder. The boundaries cause problems in monitoring the complete distribution network in accordance with the requirement of information from all nodes in the system. In this study distribution control system will be based on these measurements, as shown in Figure 2. Figure 2: Distribution Management System In this research, PSO algorithm is proposed to optimize the voltage in order to minimize the voltage fluctuation in the system. The SVC is chosen as the device for compensation and modeled as a reactive power added to system bus. A computer simulation were done in the IEEE 14-bus radial transmission system. The effect of population size on loss reduction is also investigated.
  • 3. 6132 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015 Nov.-Dec II.MATERIAL AND METHODS In electric power system node voltages significantly depend on the load changes and changes in the network topology. The voltage may drop significantly, and even when the network is operating at high loads collapse. This may cause the relay energized and other voltage-sensitive controls, leading to extensive load shedding and thus negatively affecting the consumers and the company's revenues. Conversely, when the level of the system load is low then surge may happen due to the effect Ferranti. Capacitive excessive compensation and over-excitation of synchronous machines can also occur. Over excitation phenomena of synchronous machine also appeared due to the Ferranti effect. Accordingly, in order to compensate for the effect of heavy loads and reactive load is constantly changing facts (Flexible AC Transmission system) device widely used at the present time of day. These devices are constructed on the basis of Thyristor Controlled Reactor (TCR) and Voltage Source Inverters (VSI), such as; Static VAR Compensator (SVC), thyristor controlled Phase Shifter Transformer (TCPST) and Unified power flow controller (UPFC) etc. Static VAR compensator (SVC) is a shunt type FACTS device defined as a parallel connected static var generated or absorber whose output is adjusted to exchange capacitive or inductive current so as to sustain or control specific measurements of the power system usually the bus voltage in volts. An electrical equipment for quick action of reactive power at high voltage electrical transmission system. SVC are component of the transmission Facts device family, such as voltage regulation and stabilization of the system. Here the term "static" discusses to the fact that the SVC has no moving component (except the on and off switches which do not move in a normal mode SVC). Before the discovery of SVC the power factor correction was to keep bulky rotating machineries such as synchronous condensers. The SVC is a mechanized impedance device which is deliberate to get the system closer to the power factor. When reactive load on the power system is capacitive (leading) then SVC will use reactors (generally in the form of a thyristor-controlled reactors) consume VARs from the network which will reduce the system voltage While inductive (lagging) conditions the capacitor banks automatically switches, therefore provided that a higher voltage system. In this research, a standard power system IEEE-14 bus is organized. Modeling tool implemented in MATLAB / SIMULINK tool. It consists of three generator buses usually the bus number 1 is deliberated as the slack bus. SVC is the main selling shunt FACTS controller for voltage control in power systems. A slight variation of load can affect the voltage profile of the system. Thus, the dynamic characteristics of the SVC control voltage with varying load are analyzed. To evaluate the state estimation, consider the following assumptions have a distinctive results. [5] 1) The position of the switches and insulators known. 2) Distributed generation values and connected load on each node are identified. 3) In the substation current and voltage values are known. 4) The output power and power factor will be given if the distributive generation and loads are stable. The purpose of assessment of the state is to provide the most accurate state of the network, considering the redundant measurements. In fact, however, the accuracy of the assessment of the state has ever known, since the measurement without errors is unknown. In this framework, to maximize the precision of the state estimation is done by reducing the state of ambiguity. The weighted least-squares (WLS) is the main problem to solve tactic SE. WLS is a statistical relationship between the measurements and state variables. Mathematically, this relationship can be expressed as follows: Where = weight related with each measurement variable i. = vector on behalf of the measured values. = equation of state measurements. X = state variables with the variable loads and DG. N = number of measurements. H (X) may be one of the following forms: a. The branch current b. power injection to the bus. c. Load at the bus d. Node voltage value For voltage measurement the state estimation has number of iterations to evaluate the sum of voltage. Each iteration has internal block shown in figure 3. Figure 3: Internal block for SE III. PARTICLE SWARM OPTIMIZATION Particle Swarm Optimization (PSO) is a biologically motivated computational technique and optimization method introduced in 1995 by Eberhart and Kennedy on the foundation of social behavior of birds clustering and schooling fish [11]. The number of major changes have been developed in connection with the increase of the rate of convergence and the quality of the solution found in the PSO. Whereas, the basic Particle Swarm Optimization (PSO) is more suitable for processing of static, a simple optimization problem. Modification of PSO is intended to solve the basic problem of peacekeeping operations. The
  • 4. Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6133 Nov.-Dec application may show a modified or variant PSO, who were not and which one modified or variant PSO, be developed. The theory of particle swarm optimization (PSO) is rising quickly. PSO has been used in many applications numerous problems. PSO technique imitates the behavior of the animal societies that have no front-runner in the cluster or swarm, such as bird clustering and schooling fish. As a rule, a herd of animals that do not have leaders will find food at random, do one of the members of the group that is closest to the position of the power source. Flocks attain their finest conditions at the same time through the communication between members who have already a better position. An animal that has the best condition will let know him that his cluster and others will move all together in this place. This will happen until better conditions or food source found. PSO technique is the process to get the optimal values of following the effort of the animal society. Particle swarm consists of a cluster of particles, where the particles are a latent solution. Speed of individual particle can be modified by the expression as given [9] = w × v + × × ( ) + × × ( ) Where = velocity (speed) of particle i at iterations w= weight function The weight function is founded by the expression as [9] w= × iter Where = initial weight equal to 0.9 = initial weight equal to 0.4 = maximum iteration number iter = current iteration number & = weight coefficient both equal to 2. & = random number between 0 and 1. = current position of particle i at iteration k. = best position of particle i-th up to the current iteration. = best overall position found by the particle up to the current iteration. PSO algorithm implemented in a Simulink as displayed in figure 4. Figure 4: PSO Implementation IV. RESULTS AND DISSCUSSION In order to recognize the efficiency of the recommended PSO technique, the IEEE 14-bus radial transmission system was tested to find the convergence of voltage. The line data and bus data of IEEE 14-bus radial transmission system are given in appendix 19. The parameters of the PSO are listed in table 1. Table 1: Parameters of PSO Parameters PSO Population size 5, 10, 15 Inertial weight, w 0.9 – 0.4 Constant, C1 2 Constant, C2 2 Number of iteration performed 30 Rand1 0 to 1 Rand 2 0 to 1 The static VAR compensator installation in the system to improve the voltage fluctuation by injecting or absorbing reactive power at bus number 3.Steady state values are used for designing of the capacitor and inductor values in SVC. The impact of voltage convergence to the optimization technique performance was also monitored so that the best convergence can be identified from the simulation. General flow chart for particle swarm optimization, managed as from initial conditions to maximum reach point of convergence. Update the values for local and global best until or unless the maximum reach point of convergence for voltage is not achieved.
  • 5. 6134 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015 Nov.-Dec Figure 5: Flow chart for PSO The voltage convergence using PSO for each phase was amazing. State Estimation results show the monitoring of voltage at each phase with and without FACT device. Results for state estimation are given in figure 6. State Estimation is calculated by using the weighted least square (WLS) method. Voltages monitored by the assessment of systems with and without FACT device. In point of fact that the voltage fluctuation is calculated at each phase by state estimation respectively. Results represented that how much fluctuation in voltages at each phase. The convergence of voltage by using optimizing technique is extraordinary. Graphically shown the results and convergence of voltage Figure 6: State Estimation results . Graph 1: Convergence graph for red phase At red phase PSO results in a graphical representation as shown in graph 1. To optimize the voltage with particle swarm optimization technique is done and above graph red phase convergence is obviously displayed. Absolutely thirty iterations are made in each phase. PSO results of red phase with respect to time for both positive and negative cycle representing the convergence level at each iteration. Every iteration has a new result with respect to time and converge the voltage to the sinusoidal wave. Start Initial Condition for each particle (Voltage) Evaluate convergence point Checks and update Pbest and Gbest Update each individual voltage and its position Reach maximum iteration End
  • 6. Sci.Int.(Lahore),27(6),6131-6136,2015 ISSN 1013-5316; CODEN: SINTE 8 6135 Nov.-Dec Graph 2: Convergence graph for yellow phase At yellow phase PSO outcomes in a graphical representation as shown in graph 2. To optimize the voltage with particle swarm optimization technique is done and above graph yellow phase convergence is obviously displayed. Absolutely thirty iterations are made for each phase. PSO results of the yellow phase with respect to time for both positive and negative cycle representing the convergence level at each iteration. Every iteration has a new result with respect to time and converge the voltage to the sinusoidal wave. Graph 3: Convergence graph for blue phase At blue phase PSO results in a graphical representation as shown in graph 3. To optimize the voltage with particle swarm optimization technique is done and above graph blue phase convergence is obviously displayed. Absolutely thirty iterations are made for each phase. PSO results of blue phase with respect to time for both positive and negative cycle representing the convergence level at each iteration. Every iteration has a new result with respect to time and converge the voltage to the sinusoidal wave. Table 2: PSO results with respect to time. Sr. No Results of PSO at Phase Red Results of PSO at Phase Yellow Results of PSO at Phase Blue Time (sec) PSO value Time (sec) PSO Value Time (sec) PSO Value 1 3.098e- 07 0.05352 1.452e- 08 -0.0544 1.452e-08 0.0008531 2 0.00021 0.1077 7.516e- 07 -0.1072 0.00021 -0.002349 3 0.00096 0.00987 0.00046 0.004692 0.00096 -0.02181 4 0.00102 0.01278 0.00129 0.01959 0.00101 -0.03998 5 0.00196 0.004446 0.00196 0.03162 0.00246 -0.03709 6 0.00271 -0.002558 0.00271 0.03766 0.00321 -0.03127 7 0.00346 -0.01077 0.00396 0.0513 0.00396 -0.02401 8 0.00421 -0.02042 0.00471 0.06159 0.00471 -0.01543 9 0.00496 -0.02893 0.00546 0.04015 0.00496 -0.006458 10 0.0057 -0.03565 0.0062 0.03531 0.0057 0.0005714 11 0.00645 -0.04038 0.00695 0.02856 0.00645 0.00885 12 0.0077 -0.05324 0.0077 0.02063 0.0072 0.0162 13 0.00845 -0.06219 0.00845 0.01126 0.00795 0.02465 14 0.0092 -0.03894 0.0087 0.002859 0.0087 0.03175 15 0.00995 -0.03311 0.00945 -0.00341 0.00945 0.03708 16 0.0107 -0.02545 0.0102 -0.01207 0.0107 0.04975 17 0.01145 -0.01639 0.01095 -0.02135 0.01145 0.05926 18 0.0117 -0.006893 0.0197 -0.02946 0.0122 0.03816 19 0.01245 -0.000631 0.01245 -0.03594 0.01295 0.03332 20 0.0132 0.007326 0.0137 -0.0502 0.0137 0.02663 21 0.01723 0.01723 0.01445 -0.06157 0.01445 0.01847 22 0.01728 0.02618 0.052 -0.04123 0.01495 0.009333 23 0.01745 0.03369 0.01595 -0.03727 0.01545 0.001557 24 0.01801 0.03933 0.0176 -0.03124 0.0162 -0.004284 25 0.01851 0.05269 0.01745 -0.0235 0.01695 -0.01318 26 0.01872 0.06277 0.0182 -0.01445 0.0177 -0.02199 27 0.01895 0.0404 0.01845 -0.00545 0.01845 -0.02959 28 0.0197 0.03525 0.0192 0.001561 0.0192 -0.03554 29 0.01985 0.02228 0.01975 0.007126 0.01975 -0.03579 30 0.02 0.005131 0.0199 0.008104 0.0199 -0.02279
  • 7. 6136 ISSN 1013-5316; CODEN: SINTE 8 Sci.Int.(Lahore),27(6),6131-6136,2015 Nov.-Dec At each phase PSO results in a tabular demonstration as shown in table 2. To optimize the voltage with particle swarm optimization algorithm is practical and in above table phases convergence is obviously presented. Absolutely thirty iterations are made for each phase and time difference between the phases are taken with the difference of five values of time. PSO results for each phase with respect to time for both positive and negative cycle representing the convergence level at each iteration. Every iteration has a new result with respect to time and converge the voltage to the sinusoidal wave. CONCLUSION In this article a heuristic optimization technique PSO algorithm has been implemented to optimize State Estimation and Volt-VAR Control applications of the modern DMS. Simulations have been conducted on IEEE 14- bus radial distribution test feeder with minor changes to integrate the Distributive Generators. Static VAR compensator attached at bus 3 and control the voltage fluctuation by injecting and absorbing reactive power into the system. The SVC is considering only bus 3 and injecting or absorbing reactive power only to this bus3. State estimation done according to measurement of voltage measuring the error coming from 14 bus system without a fact device and with the fact device. Particle swarm optimization algorithm is implemented in Simulink and connected to 14 bus system. The system is connected with the PSO is the last one who has Static VAR compensator and state estimation done as well at this 14 bus system. The convergence of particle (voltage) in PSO was amazing represent as above with respect to time with thirty iteration in a single cycle of each phase. 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