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Electric Power Systems Research
journal homepage: www.elsevier.com/locate/epsr
An initial-point strategy for optimizing distribution system reconfguration
Hossein Karimianfard, Hossein Haghighat
⁎
Islamic Azad University, Jahrom Branch, Jahrom, Iran
ARTICLEINFO
Keywords:
Distribution system
Reconfguration
Optimization
Initialization strategy
Evolutionary algorithms
ABSTRACT
This study presents a simple and fast strategy for selecting the candidate solutions of the distribution system
reconfguration problem without solving optimization based or load fow based programs. It consists of con-
structing a node-node adjacency matrix of the original network topology in which specifc diagonal entries
corresponding to the of-diagonal ones represent the favourable candidate solutions. This strategy needs only
primitive network information and is applicable to any optimization method and network dimension without
afectingthecomputationaltractabilityoftheproblem.Throughnumericalexperimentsonvarioustestsystems,
the efcacy of the proposed scheme is illustrated.
1. Introduction
Rconfguration is a widely used for reducing grid losses and miti-
gating operational limits violations of the distribution network. Early
studies [1,2] have shown that by changing the status of tie and sec-
tionalizingswitches,aradialconfgurationwithminimumlossescanbe
achieved. Originally, it was developed for reducing losses and hence-
forth was extensively employed by power engineers and researchers to
improve the operational performance of the distribution system.
The primary objective of network reconfguration is to determine
the best network topology, with respect to a given objective, while
satisfying the operational standards and radiality of the distribution
system. This problem is formulated as a constrained nonlinear optimi-
zation problem and solved using mathematical programming methods
orevolutionaryalgorithms.Thebinarynatureofthedecisionvariables,
associated with the on/of status of the switches, gives rise to a mixed
integer nonlinear program, which is known to be difcult to solve
especiallyinlarge-scaledistributionsystems.Muchhasbeendonesofar
in relation to the applications of distribution system reconfguration
and improving the problem formulation, modeling accuracy, and
computational performance of the solution algorithms. Mathematical
programming methods including linear and nonlinear formulations
[3–11], and meta heuristic algorithms including simulated annealing
[12,13],geneticalgorithms [14],PSO [15],artifcialimmune [16],and
harmonysearchalgorithm [17] havebeenemployed.Avarietyofsingle
or multiple objectives involving loss reduction [18–20], maximization
of load balance among feeders [21], reducing the number of switching
actions [8], etc., are adopted.
Giventhevaryingloadconditionsaswellastheuncertaintyofinput
parameters and data, fuzzy methods [22], stochastic programming
[23], and robust optimization [24] have been applied to solve the
problem. In addition to uncertainty modeling, multi-objective pro-
gramming and fuzzy approach were extensively used to optimize sev-
eral conficting objectives at the same time [25].
Although various modeling and computing aspects of the distribu-
tion system reconfguration problem have been addressed in the lit-
erature, so far, little has been done on the initialization strategy and
candidate solution selection techniques. It is generally known that by
augmenting the solution algorithms (mathematical or evolutionary)
with a simple initialization technique, often speed and accuracy im-
prove quite dramatically. Surprisingly, however, no systematic work
seemstohavebeendoneonviablewaysofchoosingthestartingpoints
of the reconfguration problem with the possible exception of [5]. This
recent reference introduces such a scheme and develops a minimum
spanningtreealgorithmtofndaninitialsolutionofthereconfguration
problem with the objective of minimizing losses. This approach, frst,
formsanedge-weightedgraphofthenetworkandsubsequentlyseeksa
spanning tree whose sum of edge weights is minimal. However, the
complexity and run-time of this algorithm depend on the network di-
mension making it less appealing in large-scale networks.
In this paper, a fast and simple strategy is proposed which is con-
structed based on the node-node adjacency matrix and needs only to-
pological network information without relying on any optimization or
loadfowprogram.Choosinginitialsolution(i.e.,startingpoints)inthis
wayisbothfastandsimplewhileitscomputationisindependentofthe
network dimension which makes it appealing in practice. The required
information includes original network topology consisting of branch
connections and tie switch locations, which are naturally available for
https://doi.org/10.1016/j.epsr.2019.105943
Received 18 December 2018; Received in revised form 6 July 2019; Accepted 11 July 2019
⁎
Corresponding author.
E-mail address: haghighat@jia.ac.ir (H. Haghighat).
Electric Power Systems Research 176 (2019) 105943
Available online 07 August 2019
0378-7796/ © 2019 Elsevier B.V. All rights reserved.
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