Fuzzy optimal placement of capacitors in the presence of nonlinear loads in unbalanced distribution networks using BF-PSO algorithm

This paper presents a new method to optimize locating and the size of fixed and switching capacitor banks based on bacterial foraging (BF) oriented by particle swarm optimization (PSO) algorithm (BF-PSO). The algorithm is proposed for radial and meshed networks in the presence of unbalanced and nonlinear loads. The objective function considers the minimization of the total energy loss costs and capacitor installation cost, network total harmonic distortion (THD) index, and the deviation of the voltage fundamental component from the permitted value. Since these parameters do not have similar units and variation ranges, a membership degree is assigned to each parameter by using fuzzy sets. The IEEE 123-Bus distribution network is used to test the proposed method. The simulation results of the proposed algorithm are compared with PSO, BF and genetic algorithms to show the efficiency of this method to reduce the system costs.

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

[2]  W. H. Kersting,et al.  Radial distribution test feeders , 1991, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[3]  M.A.S. Masoum,et al.  Harmonic power flow calculations for a large power system with multiple nonlinear loads using decoupled approach , 2007, 2007 Australasian Universities Power Engineering Conference.

[4]  Rahmat-Allah Hooshmand,et al.  OPTIMAL CAPACITOR PLACEMENT IN ACTUAL CONFIGURATION AND OPERATIONAL CONDITIONS OF DISTRIBUTION SYSTEMS USING RCGA , 2007 .

[5]  P. Marannino,et al.  Optimal capacitor placement using deterministic and genetic algorithms , 1999 .

[6]  T. Ghose,et al.  Effects of unbalances and harmonics on optimal capacitor placement in distribution system , 2004 .

[7]  Yahia Baghzouz,et al.  Effects of nonlinear loads on optimal capacitor placement in radial feeders , 1991 .

[8]  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.

[9]  S. K. Goswami,et al.  A new fuzzy based solution of the capacitor placement problem in radial distribution system , 2009, Expert Syst. Appl..

[10]  Wael Mansour Korani.  Bacterial foraging oriented by Particle Swarm Optimization strategy for PID tuning , 2009, 2009 IEEE International Symposium on Computational Intelligence in Robotics and Automation - (CIRA).

[11]  Ji-Pyng Chiou,et al.  Capacitor placement in large-scale distribution systems using variable scaling hybrid differential evolution , 2006 .

[12]  Yann-Chang Huang,et al.  Solving the capacitor placement problem in a radial distribution system using Tabu Search approach , 1996 .

[13]  P. Marannino,et al.  Optimal capacitor placement using deterministic and genetic algorithms , 1999, Proceedings of the 21st International Conference on Power Industry Computer Applications. Connecting Utilities. PICA 99. To the Millennium and Beyond (Cat. No.99CH36351).

[14]  Yaowu Wu,et al.  A PSO-based approach to optimal capacitor placement with harmonic distortion consideration , 2004 .

[15]  R. Romero,et al.  Optimal Capacitor Placement in Radial Distribution Networks , 2001, IEEE Power Engineering Review.

[16]  Ying-Tung Hsiao,et al.  Optimal placement of capacitors in distribution systems using an immune multi-objective algorithm , 2008 .

[17]  Kyu-Ho Kim,et al.  Application of ESGA hybrid approach for voltage profile improvement by capacitor placement , 2003 .

[18]  H. Chiang,et al.  Capacitor placement and real time control in large-scale unbalanced distribution systems: loss reduction formula, problem formulation, solution methodology and mathematical justification , 1996 .

[19]  Ali Abur,et al.  Capacitor placement in three-phase distribution systems with nonlinear and unbalanced loads , 2005 .

[20]  Gregory Levitin,et al.  Optimal capacitor allocation in distribution systems using a genetic algorithm and a fast energy loss computation technique , 2000 .

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

[22]  Kyu-Ho Kim,et al.  Voltage profile improvement by capacitor placement and control in unbalanced distribution systems using GA , 1999, 1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364).

[23]  Yahia Baghzouz,et al.  Shunt capacitor sizing for radial distribution feeders with distorted substation voltages , 1990 .

[24]  H. C. Leung,et al.  A genetic algorithm approach in optimal capacitor selection with harmonic distortion considerations , 1999 .

[25]  Ying-Tung Hsiao,et al.  Optimal capacitor placement in distribution systems using a combination fuzzy-GA method , 2004 .

[26]  Hossein Nezamabadi-pour,et al.  GSA: A Gravitational Search Algorithm , 2009, Inf. Sci..

[27]  Kevin M. Passino,et al.  Biomimicry of bacterial foraging for distributed optimization and control , 2002 .

[28]  S. Mishra.  Bacteria foraging based solution to optimize both real power loss and voltage stability limit , 2007, 2007 IEEE Power Engineering Society General Meeting.

[29]  Chika O. Nwankpa,et al.  Identification of capacitor position in a radial system , 1999 .