Optimal Location and Sizing of Shunt Capacitors in Distribution Systems by Considering Different Load Scenarios

In this work, Self-adaptive Differential Evolutionary (SaDE) algorithm is proposed to solve Optimal Location and Size of Capacitor (OLSC) problem in radial distribution networks. To obtain the SaDE algorithm, two improvements have been applied on control parameters of mutation and crossover operators. To expand the study, three load conditions have been considered, i.e., constant, varying and effective loads. Objective function is introduced for the load conditions. The annual cost is fitness of problem, in addition to this cost, CPU time, voltage profile, active power loss and total installed capacitor banks and their related costs have been used for comparisons. To confirm the ability of each improvements of SaDE, the improvements are studied both in separate and simultaneous conditions. To verify the effectiveness of the proposed algorithm, it is tested on IEEE 10-bus and 34-bus radial distribution networks and compared with other approaches.

[1]  Abdellah Laoufi,et al.  Optimal Placement and Sizing of Capacitor Banks Using Fuzzy-Ant Approach in Electrical Distribution Systems , 2010 .

[2]  Anil Pahwa,et al.  Optimal selection of capacitors for radial distribution systems using a genetic algorithm , 1994 .

[3]  M.A.S. Masoum,et al.  Optimal placement, replacement and sizing of capacitor Banks in distorted distribution networks by genetic algorithms , 2004, IEEE Transactions on Power Delivery.

[4]  Guido Carpinelli,et al.  Optimal allocation of capacitors in unbalanced multi-converter distribution systems: A comparison of some fast techniques based on genetic algorithms , 2010 .

[5]  Amesh,et al.  Optimal Capacitor Placement and Sizing in Unbalanced Distribution Systems with Harmonics Consideration using Particle Swarm Optimization , 2013 .

[6]  M. El-Hawary,et al.  Application of Fuzzy Logic for Reactive Power Compensation of Radial Distribution Feeders , 2002, IEEE Power Engineering Review.

[7]  G. Chang,et al.  Fuzzy Logic and Immune-Based Algorithm for Placement and Sizing of Shunt Capacitor Banks in a Distorted Power Network , 2011, IEEE Transactions on Power Delivery.

[8]  Reza Sirjani,et al.  Optimal capacitor placement in a radial distribution system using Harmony Search algorithm , 2010 .

[9]  Ali Reza Seifi,et al.  A hybrid optimization approach for distribution capacitor allocation considering varying load conditions , 2009 .

[10]  Paulo Morelato França,et al.  Capacitor placement in large-sized radial distribution networks , 2005 .

[11]  Janez Brest,et al.  Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems , 2006, IEEE Transactions on Evolutionary Computation.

[12]  R. S. Bhatia,et al.  Optimal capacitor placement in radial distribution system , 2014, 2014 IEEE 6th India International Conference on Power Electronics (IICPE).

[13]  Seyed Abbas Taher,et al.  A novel method for optimal capacitor placement and sizing in distribution systems with nonlinear loads and DG using GA , 2011 .

[14]  Seyed Abbas Taher,et al.  A new method for optimal location and sizing of capacitors in distorted distribution networks using PSO algorithm , 2011, Simul. Model. Pract. Theory.

[15]  J. Teng A direct approach for distribution system load flow solutions , 2003 .

[16]  R. Srinivasa Rao Capacitor Placement in Radial Distribution System for Loss Reduction Using Artificial Bee Colony Algorithm , 2010 .

[17]  Peter Crossley,et al.  Design and Evaluation of a Protection Relay for a Wind Generator Based on the Positive- and Negative-Sequence Fault Components , 2013 .

[18]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[19]  Abdelsalam A Eajal,et al.  Optimal Capacitor Placement and Sizing in Unbalanced Distribution Systems With Harmonics Consideration Using Particle Swarm Optimization , 2010, IEEE Transactions on Power Delivery.

[20]  Oliveira,et al.  [IEEE 2009 IEEE/PES Power Systems Conference and Exposition (PSCE) - Seattle, WA, USA (2009.03.15-2009.03.18)] 2009 IEEE/PES Power Systems Conference and Exposition - A Heuristic Constructive Algorithm for capacitor placement on distribution systems , 2008 .

[21]  Z.A. Vale,et al.  Notice of Violation of IEEE Publication PrinciplesOptimal Cost-Benefit for the Location of Capacitors in Radial Distribution Systems , 2009, IEEE Transactions on Power Delivery.

[22]  R. Jabr Optimal placement of capacitors in a radial network using conic and mixed integer linear programming , 2008 .

[23]  M.M.A. Salama,et al.  Opposition-Based Differential Evolution , 2008, IEEE Transactions on Evolutionary Computation.

[24]  Yeon-Hee Kim,et al.  Rotor Speed-based Droop of a Wind Generator in a Wind Power Plant for the Virtual Inertial Control , 2013 .

[25]  M.M.A. Salama,et al.  A Wavelet-ANN Technique for Locating Switched Capacitors in Distribution Systems , 2009, IEEE Transactions on Power Delivery.

[26]  Jose M. Yusta,et al.  Maximum savings approach for location and sizing of capacitors in distribution systems , 2008 .

[27]  M. J. Rider,et al.  Efficient heuristic algorithm used for optimal capacitor placement in distribution systems , 2010 .