Journal of Electrical and Control Engineering JECE
JECE Vol. 4 No. 1, 2013 PP. 16-25 www.joece.org/ © American V-King Scientific Publishing
16
Optimal Power Flows with security constraints using
Cubic Lattice structured multi agent based PSO
algorithm by optimal placement of Multiple TCSCs
K. Ravi Kumar
1
, Dr. M. Sydulu
2
1
Associate Professor, EEE Department Vasavi College of Engineering, Hyderabad
2
Professor ,EE Department National Institute of Technology, Warangal
1
ravikadali12345@rediffmail.com;
2
sydulumaheswarapu@yahoo.co.in
Abstract- This paper puts forward the implementation of Cubic
lattice structured multiagent based PSO algorithm
(CLSMAPSO) to obtain the optimal power flows by optimally
placing TCSC devices. The Thyristor Controlled Series
Capacitor (TCSC) is modeled using susceptance model with
modifications in the Y bus of the Newton Raphson Algorithm.
The constraints related to violation limits, minimization of line
overload factor, and line loss are dealt using penalty factor
approach. The new multi agent based cubic lattice structured
PSO algorithm was considered for optimizing power flows
while satisfying all the constraints mentioned above. This
algorithm was tested on IEEE14, IEEE 30 and IEEE 57 bus
systems to identify the suitable location, its reactance value and
firing angle. The above results have been validated using
Linear programming method in powerworld simulator. The
results obtained were quite encouraging and will be useful in
electrical restructuring.
General Terms- Multi agent systems, Particle swarm
optimization, Optimal power flows, security constraints,
Thyristor controlled Series Capacitor (TCSC), FACTS
(Flexible AC transmission systems)
Keywords- Multi agent systems; Optimization techniques;
Particle swarm optimization; Optimal power flows; security
constraints
I. INTRODUCTION
Now a days, utilities are facing rapid increase in
electricity demand with slow reinforcement projects due to
financial and political issues. Proper operation and planning
requires consideration of various factors such as reduction
of generation cost, losses, security of power system, and
FACTS application etc. In this aspect, the optimal power
flows has become the leading research field with potential
applications for both planning and operation of power
system. An operational point of a power system not only is a
stable equilibrium of differential and algebraic equations
(DAE), but also must satisfy all of the static constraints of
the equilibrium such as upper and lower bounds of
generations, voltages of all buses and line flow units of all
the transmission lines. This operation point in the power
system is solved by OPF. In other words, OPF is to
minimize the operating costs of the power system,
transmission losses or other appropriate objective functions
at the specified time instance subject to equality and
inequality constraints, by determining an equilibrium
operating state variables corresponding to power output of
generators, transformer tap positions, phase shifter angle
positions, shunt capacitors / reactors values, voltage values
etc. Conventionally, OPF is used to solve security and
economic operation of the power system.
A wide variety of optimization techniques have been
applied in solving the OPF problem such as non-linear
programming, Quadratic Programming, Linear
Programming, Newton based methods, Sequential
unconstrained minimization technique, interior point
methods, Genetic Algorithm, Evolutionary Programming.
Heuristic algorithms such as Genetic Algorithms (GA) and
Evolutionary programming which have been reported as
show promising results for further research in this direction.
Recently, a new evolutionary computation technique, called
Multi agent based Particle Swarm Optimization (MAPSO)
2
,
has been proposed. Particle Swarm Optimization (PSO) is
one of the evolutionary computation techniques. In PSO,
search for an optimal solution is conducted using a
population of particles, each of which represents a candidate
solution to the optimization problem. It was developed
through the simulation of flock of birds to search for food in
an optimal manner through their velocity and position up
gradation. The PSO technique has been widely used for the
optimization of various power system problems. However,
the major drawback with PSO is that, it may need several
iterations and may get trapped in local optima. Therefore,
several strategies have been developed to overcome the
limitations of PSO, such as modified PSO, and attractive
and Repulsive PSO. These all were proved to be effective
and boosted the development of MAPSO.
Agent based computation has been introduced recently
by Wooldridge
11
and applied for various optimization
problems. In this paper, Multi agent based lattice structure
and PSO have been integrated to obtain optimal Power
Flows. In CLSMAPSO, each agent in cubic lattice structure
represents a particle to PSO and a candidate solution to the
optimization problem. All agents live in a cubic lattice
structured environments, with each agent located on a lattice
point. TO obtain optimal solution quickly, competition and
cooperation operators have been used with their neighbors,
and they can also use their own knowledge. With the search
mechanism of PSO and agent-agent interactions,
CLSMAPSO can obtain global solution with faster
convergence characteristics.
Today technologies developed as a part of flexible AC
Transmission system (FACTS) can be handy to corrective
methods, so that the system operates smoothly and
consistently without violating thermal and operational limits.