Optimal capacitor placement in distorted distribution networks with different load models using Penalty Free Genetic Algorithm

Abstract Genetic Algorithm with special constraint handling procedure is proposed for the discrete optimization problem of capacitor placement and sizing in distribution system for cost reduction and power quality improvement. We use gene encoding that enables simple integer representation of possible different number of capacitors of various standard sizes to be placed on a bus. A pair-wise comparison in tournament selection operator is used so that it does not require any penalty parameter tuning, thus avoiding the most difficult aspect of the selection of appropriate penalty parameters. Proposed Penalty Free Genetic Algorithm (PFGA) is tested on 18-bus, 69-bus and 141-bus systems and the obtained results are better than the results from other methods. Simulations with different load models are also performed. It is shown that load models where active and reactive loads are voltage dependent, such as residential, commercial and industrial, constant Z and constant I model lead to completely different solutions. Therefore, careful load modeling should be put in place in order to obtain more realistic picture of the total savings.

[1]  K. Ravindra,et al.  Direct search algorithm for capacitive compensation in radial distribution systems , 2012 .

[2]  W. M. Grady,et al.  The application of network objective functions for actively minimizing the impact of voltage harmonics in power systems , 1992 .

[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]  Yunhua Li,et al.  Optimal Placement and Sizing of Distributed Generation via an Improved Nondominated Sorting Genetic Algorithm II , 2015, IEEE Transactions on Power Delivery.

[5]  M. Sydulu,et al.  Particle Swarm Optimization Based Capacitor Placement on Radial Distribution Systems , 2007, 2007 IEEE Power Engineering Society General Meeting.

[6]  Debapriya Das,et al.  Optimal placement of capacitors in radial distribution system using a Fuzzy-GA method , 2008 .

[7]  M. E. Baran,et al.  Optimal sizing of capacitors placed on a radial distribution system , 1989 .

[8]  Mohammad Hassan Moradi,et al.  An efficient hybrid method for solving the optimal sitting and sizing problem of DG and shunt capacitor banks simultaneously based on imperialist competitive algorithm and genetic algorithm , 2014 .

[9]  M. Surya Kalavathi,et al.  Optimal capacitor placement in radial distribution system using Gravitational Search Algorithm , 2015 .

[10]  M.H. Moradi,et al.  A combination of Genetic Algorithm and Particle Swarm Optimization for optimal DG location and sizing in distribution systems , 2010, 2010 Conference Proceedings IPEC.

[11]  M. Ladjavardi,et al.  Genetically Optimized Fuzzy Placement and Sizing of Capacitor Banks in Distorted Distribution Networks , 2008, IEEE Transactions on Power Delivery.

[12]  M. E. Baran,et al.  Optimal capacitor placement on radial distribution systems , 1989 .

[13]  Shyh-Jier Huang,et al.  An immune-based optimization method to capacitor placement in a radial distribution system , 2000 .

[14]  J. Martí,et al.  Linear Power-Flow Formulation Based on a Voltage-Dependent Load Model , 2013, IEEE Transactions on Power Delivery.

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

[16]  R. Taleski,et al.  Voltage correction power flow , 1994 .

[17]  Provas Kumar Roy,et al.  Optimal capacitor placement in radial distribution systems using teaching learning based optimization , 2014 .

[18]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[19]  A. Abou-Ghazala,et al.  Optimal capacitor placement in distribution systems feeding nonlinear loads , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[20]  Jin-Cheng Wang,et al.  Optimal capacitor placements in distribution systems. I. A new formulation and the overall problem , 1990 .

[21]  K. Deb.  An Efficient Constraint Handling Method for Genetic Algorithms , 2000 .

[22]  M.A.S. Masoum,et al.  Optimal placement and sizing of fixed and switched capacitor banks under nonsinusoidal operating conditions , 2002, IEEE Power Engineering Society Summer Meeting,.

[23]  Mohammad Hassan Moradi,et al.  Optimal multi objective placement and sizing of multiple DGs and shunt capacitor banks simultaneously considering load uncertainty via MOPSO approach , 2015 .

[24]  B. Vahidi,et al.  Reconfiguration and Capacitor Placement Simultaneously for Energy Loss Reduction Based on an Improved Reconfiguration Method , 2012, IEEE Transactions on Power Systems.

[25]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[26]  L. W. de Oliveira,et al.  Cuckoo Search Optimization technique applied to capacitor placement on distribution system problem , 2012, 2012 10th IEEE/IAS International Conference on Industry Applications.

[27]  M. Sydulu,et al.  Self adaptive harmony search algorithm for optimal capacitor placement on radial distribution systems , 2013, 2013 International Conference on Energy Efficient Technologies for Sustainability.

[28]  W.M. Grady,et al.  Fuzzy approach for optimal placement and sizing of capacitor banks in the presence of harmonics , 2005, IEEE Transactions on Power Delivery.

[29]  Pavlos S. Georgilakis,et al.  Optimal distributed generation placement under uncertainties based on point estimate method embedded genetic algorithm , 2014 .