Optimal reconfiguration and capacitor placement for power loss reduction of distribution system using improved binary particle swarm optimization
Sedighizadeh et al. International Journal of Energy and Environmental
Engineering 2014, 5:3
http://www.journal-ijeee.com/content/5/1/3
ORIGINAL RESEARCH
Open Access
Optimal reconfiguration and capacitor placement
for power loss reduction of distribution system
using improved binary particle swarm
optimization
Mostafa Sedighizadeh1*, Marzieh Dakhem2, Mohammad Sarvi2 and Hadi Hosseini Kordkheili3,4
Abstract
Optimal reconfiguration and capacitor placement are used to reduce power losses and keep the voltage within its
allowable interval in power distribution systems considering voltage, current, and radial condition constraints. It is
needed to solve two nonlinear discrete optimization problems simultaneously, so an intelligent algorithm is used
to reach an optimum solution for network power losses. An effective method and a new optimization algorithm
using ‘improved binary PSO’ is presented and discussed to minimize power losses in distribution network by
simultaneous network reconfiguration and capacitor placement. The proposed model uses binary strings which
represent the state of the network switches and capacitors. The algorithm is applied and tested on 16- and 33-bus
IEEE test systems to find the optimum configuration of the network with regard to power losses. Five different cases
are considered, and the effectiveness of the proposed technique is also demonstrated with improvements in power
loss reduction compared to other previously researched methods, through MATLAB under steady-state conditions.
Keywords: Optimal capacitor placement; Optimal reconfiguration; Power loss reduction; Power distribution
network; Improved binary particle swarm optimization
Background
A power distribution network consists of a group of radial
feeders which can be connected together by several tie
switches and tie lines. Power loss reduction in the network
is a major concern of electric distribution utilities. Among
conventional methods, optimal reconfiguration and capacitor placement are two effective methods which can be
applied on the network.
Optimization methods have been used to find the optimal location and size of different devices such as capacitors,
FACTS, and distributed generations, in power distribution
systems [1-3]. In this paper, optimization methods are used
for optimal reconfiguration and capacitor allocation in
power systems.
Feeder reconfiguration is the process of changing the
distribution network topology by changing the status of
* Correspondence:
1
Faculty of Electrical and Computer Engineering, Shahid Beheshti University,
G. C., Tehran, 1983963113, Iran
Full list of author information is available at the end of the article
its switches. There are two kinds of switches based on
their open or close conditions: normally open (N.O.)
and normally close (N.C.). N.O. switches are considered
as tie switches in the network. During a reconfiguration
process, the status of these switches will be changed
optimally based on the proposed objective function.
Opening and closing of these switches can change the
amount of power losses.
On the other hand, capacitors are mostly used for reactive power compensation in distribution networks. They
are also used for power loss reduction and improvement
of voltage profiles. The advantages of this kind of compensation depend on how and where to place the capacitors
in the network. In recent years, according to proper
results of optimal capacitor placement and optimal distribution network reconfiguration for power loss reduction,
the idea of using these two methods simultaneously has
been considered to maximize the amount of power loss
reduction. The combination of these approaches makes
the optimization process more complex.
© 2014 Sedighizadeh et al.; licensee Springer. This is an open access article distributed under the terms of the Creative
Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Sedighizadeh et al. International Journal of Energy and Environmental Engineering 2014, 5:3
http://www.journal-ijeee.com/content/5/1/3
Optimal capacitor placement and feeder reconfiguration have been investigated in many papers separately,
and various approaches have been used with different
objective functions to model the network and optimize
the problem solution.
In [4], the branch and bound heuristic method has
been used to solve the reconfiguration problem with
minimum power losses. In this method, all network
switches become closed and will be opened one by one
to obtain a new radial configuration. In [5], the problem
of power loss reduction and load balancing reconfiguration is formulated as an integer programming method.
The branch exchange heuristic method is proposed in
[6]. In this method, power loss reduction is obtained by
closing a switch and opening another one. In [7], an
algorithm has been proposed to obtain switch patterns
as a function of time. A load flow method based on a
heuristic algorithm has been introduced in [8] to determine a configuration with minimal power losses. An
implementation using a genetic algorithm (GA) has
been proposed in [9]. An improved genetic algorithm
based on fuzzy multi-objective approach has been suggested in [10] to solve the problem. In [11], a method
based on binary particle swarm optimization (BPSO)
algorithm is presented to balance network loads. In
[12], the authors have used ant colony search algorithm
(ACSA) to solve the reconfiguration problem. Moreover, they have performed a comparison which shows
better results for ACSA compared to GA and simulated
annealing (SA). A solution procedure employing simulated annealing is proposed in [13] and [14] to search
for an acceptable noninferior solution. In [15], the network reconfiguration problem has been solved by a
harmony search algorithm, and an optimal switching
combination in the network is obtained which results
in minimum power loss.
Many investigations have also been performed to solve
the optimal capacitor placement problem. Grainger and
Lee [16-18] formulated the problem using a nonlinear
programming model and solved it by simple iterative procedures based on gradient search. In [19] and [20], the
capacitor placement problem is modeled as a mixed integer nonlinear programming problem and is solved using a
decomposition method and a power flow algorithm. In
[21], tabu search (TS) algorithm is used and a sensitivity
analysis is performed to reduce the search space. It is
Figure 1 A string of random typical particle.
Page 2 of 11
shown that TS has a better performance compared to SA.
In [22], the placement problem is solved together with
finding the amount of proper capacitors. An approach
using genetic algorithm and a new type of sensitivity analysis method is used. In [23], the implementation of integrated evolutionary algorithms is investigated for solving
the capacitor placemen (...truncated)