AN EFFICIENT COUPLED GENETIC ALGORITHM AND LOAD FLOW ALGORITHM FOR OPTIMAL PLACEMENT OF DISTRIBUTED GENERATORS

NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY
[IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 4, APR.-2015
1 | P a g e
AN EFFICIENT COUPLED GENETIC ALGORITHM AND LOAD
FLOW ALGORITHM FOR OPTIMAL PLACEMENT OF
DISTRIBUTED GENERATORS
Rashed Mobin
Department Of Electrical Engineering.,Meghnad Saha Institute Of
Technology,Kolkata,India
Mr.Ambarnath Banerji(HOD)
Utsav Das
ABSTRACT
A genetic algorithm is used in conjunction with an efficient load flow programme to
determine the optimal locations of the predefined DGs with MATLAB & MATPOWER
software. The best location for the DGs is determined using the genetic algorithm. The
branch electrical loss is considered as the objective function and the system total loss
represent the fitness evaluation function for driving the GA. The load flow equations are
considered as equality constraints and the equations of nodal voltage and branch
capacity are considered as inequality constraints. The approach is tested on a 9 &14 bus
IEEE distribution feeder.
INTRODUCTION
Connection of distributed generation (DG) fundamentally alters distribution network
operation and creates a variety of well-documented impacts with voltage rise being the
dominant effect, particularly in rural networks. With the increasing levels of generation
to be accommodated, planning and design of distribution networks will need to change
to harness approaches that use information and communication technology to actively
manage the network
Distributed generators are, by definition, small size generators, which can come from
traditional or some revolutionary technologies (e.g., fuel cells, micro-CHPs,
photovoltaic panels). Integration of DG with power networks (Grid) requires
consideration of some issues in terms of numbers and the capacity of the DGs, the best
location, the type of network connection, etc. Their benefits to networks are reduction in

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losses, providing higher reliability and increase in load ability and improved voltage
profile. Their drawback is in issues such as various stability problems and the change
in protection grading, etc. Furthermore, the installation of DG units at non-optimal
places can result in an increase of power losses and hence increase of costs.
It is clear that while each of the broad approaches identified above offers advantages in
terms of examining one of the problems, no approach in the literature can truly provide
both optimal siting and sizing of DG across an entire network for a given number of DG
units, without the requirement of predetermining capacities or locations. Here, a method
is presented that combines the analytical accuracy of OPF with the ability of the genetic
algorithm to efficiently search a large range of location combinations. Although this
comes at the expense of requiring predefinition of the number of DG units, this allows
exploration of a range of interesting problems
Advantages of GAs are their ability to avoid being trapped in local optima and also
their expected number of function evaluations before reaching the optimum is
significantly reduced compared with exhaustive search methods.
Here an attempt is made to discuss the identification of the DG placement for the
reduction of the total real power losses in the distribution system through a developed
GA in conjunction with an efficient load flow programme within MATLAB
environment.
Here, the objective function, which calculates the total losses of power, is considered
the fitness function and the equations of load flow considered as equality constraints
and the equations of nodal voltage and branch capacity are considered as inequalities
constraints.
LOAD FLOW
Load flow analysis of distribution systems has not received much attention unlike load
flow analysis of transmission systems. However, some work has been carried out on
load flow analysis of a distribution network, but the choice of a solution method for
practical systems is often difficult. Generally, distribution networks are radial with a
small X/R ratio. Because of this, distribution networks are not suited for solving such
networks with Newton-Raphson or fast decoupled load flow methods
In this approach, the voltage magnitude at the buses, real and reactive power flowing
through lines, real and reactive losses in lines, and total losses in the system are
calculated and it is assumed that the three phase radial distribution networks are
balanced and can be represented by their equivalent single line diagrams.

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For practical calculations, we have the following equations:
GA FOR DGs PLACEMENT
The use of GA for DGs placement requires the determination of six steps as illustrated
below
Step l :Representation
The representation scheme determines how the problem is structured in the GA and also
determines the genetic operators that are used (between the two different
representations: a float and a binary GA)
Step 2: Initialize population
The GA must be provided with an initial population. The basic call for this function is
given by the MATLAB command called (initialize). This creates a matrix of random
numbers with the number of rows equal to the population size and the number columns
equal to the number of rows plus one.

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Step 3 :Selection
In this step, one choice is made from the three implemented selection functions (roulette
wheel, normalised geometric select and tournament).
Step 4: Reproduction
To produce the new solutions, two operators, crossover and mutation, are used.
Step 5 :Fitness evaluation
The total system losses were used as the fitness evaluation function, which is an output
of the load flow software tool described in Section 2.
Step 6: Termination
The termination function determines when to stop the simulated evolution and return
the resulting population. A maximum generation criteria is used to stop the simulation.

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CASE STUDY
The work was carried out for a IEEE 9 bus system by using matpower,GA tool box
and others softwares.

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VOLTAGE OF BRANCHES POWER INJECTION
TOTAL LOSSES TABULATION
BRANCH WITHOUT
DG
WITH DG
Nodes 1 7 9
Voltage
V(pu) Voltage V(pu)
1 1 1
2 0.817 1.043
3 0.828 1.051
4 0.913 1.01
5 0.855 1.01
6 0.828 1.051
7 0.801 1.043
8 0.817 1.043
9 0.838 1.003
BRANCH WITHOUT
DG
WITH
DG
P(MW) POWER P(MW)
INJECTION
1 327.92 68.66
2 147.32 53.95
3 52.53 -36.54
4 0 0
5 51.05 -37.14
6 -49.46 25.69
7 0 0
8 -49.8 25.64
9 -175.99 -14.69
BRANCH P(MW)
WITHOUT
DG
Q (MW) P(MW)
WITH
DG
Q(MW)
1 0 81.82 0 2.87
2 4.785 25.9 0.497 2.69
3 1.485 6.47 0.596 2.6
4 0 0 0 0
5 0.507 4.3 0.169 1.43
6 0.338 2.86 0.052 0.44
7 0 0 0 0
8 1.193 6 0.324 1.63
9 4.609 39.18 0.025 0
TOTAL 12.917 166.52 1.664 11.88

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From the results it can be observed that using distributed generators the total power loss
has been reduced. The active power is reduced from 8.543 to 1.664 i.e., 80.52 % losses
reduction and the reactive power is reduced from 166.52 to 11.88 ie 92.86 %
reduction.
BUS
1
BUS
2
BUS
3
BUS
4
BUS
5
BUS
6
BUS
7
BUS
8
BUS
9
POWER
LOSSES
1 1 1 0 0 0 0 0 0 4.95470158
1 1 0 1 0 0 0 0 0 3.907972
1 1 0 0 1 0 0 0 0 2.770643
1 1 0 0 0 1 0 0 0 4.921616
1 1 0 0 0 0 1 0 0 5.30912
1 1 0 0 0 0 0 1 0 7.021909
1 1 0 0 0 0 0 0 1 3.046834
1 0 1 1 0 0 0 0 0 4.422235
1 0 1 0 1 0 0 0 0 4.134531
1 0 1 0 0 1 0 0 0 8.543124
1 0 1 0 0 0 1 0 0 5.842195
1 0 1 0 0 0 0 1 0 5.400015
1 0 1 0 0 0 0 0 1 3.117107
1 0 0 1 1 0 0 0 0 7.213207
1 0 0 1 0 1 0 0 0 4.848058
1 0 0 1 0 0 1 0 0 3.906668
1 0 0 1 0 0 0 1 0 4.772461
1 0 0 1 0 0 0 0 1 7.299286
1 0 0 0 1 1 0 0 0 3.683721
1 0 0 0 1 0 1 0 0 2.363856
1 0 0 0 1 0 0 1 0 2.765858

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GENERATOR PRESENT = 1
NO GENERATOR = 0
The above table that with changing the position of 3 generator in a 9 bus system the
power loss for different position of generator are different.
Thus by selecting the best case ie with generator on bus 1,7,9 the total loss is greatly
reduced.
CONCLUSION
This projet has presented a novel approach in determining suitable locations (nodes) in
the system under investigation for the three DGs instalation and sizing for loss
minimisation using efficient coupled GA and the load flow method. The proposed
method has been tested on a 9 bus system. The results suggest that the active power
losses are reduced from 8.543 to 1.664 i.e., 80.52 % losses reduction
Genetic control parameters (i.e., pm, pc, population size and number of generation)
play an important role in the performance of the GA and some permutations and
combinations of these parameters need to be tested to get the best performance. The
proposed convergence criteria can provide acceptable accuracy in overall results.
Using this approach and genetic algorithm all of power system problem can be solved.
We can find out the Generator Maintenance scheduling with transmission constraints
can be worked out using this approach.
1 0 0 0 1 0 0 0 1 3.49245
1 0 0 0 0 1 1 0 0 5.561506
1 0 0 0 0 1 0 1 0 5.152932
1 0 0 0 0 1 0 0 1 3.001599
1 0 0 0 0 0 1 1 0 4.638628
1 0 0 0 0 0 1 0 1 1.664186
1 0 0 0 0 0 0 1 1 2.982716

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REFERENCES
1. Mardeneh, M,Gharenpetin, G.B;”Sitting and sizing of D.G units using Genetic
Algorithm and optimal power flow based technique.
2. G.PHarrison, A.Piccplo ”Exploring the trade offs between incentives for
distributed generation Developer and DNO’’s. IEEE Trans. Power system.
3. J. Chipperfield and P. J. Fleming1 , The MATLAB Genetic Algorithm Toolbox.
4. Das, D., Kothari, D.P. and Kalam, A. (1995) ‘Simple and efficient method for
load flow solution of radial distribution networks’, Electrical Power & Energy
Systems, Vol. 17, No. 5.
5. Nara, K., Shiose, A., Kitagawa, M. and Ishihara, T. (1992) ‘Implementation of
genetic algorithm for distribution systems loss minimum reconfiguration’, IEEE
Transactions on Power Systems, August, Vol. 7, No. 3.

AN EFFICIENT COUPLED GENETIC ALGORITHM AND LOAD FLOW ALGORITHM FOR OPTIMAL PLACEMENT OF DISTRIBUTED GENERATORS

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