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Optimal Capacitor Placement in a Radial Distribution System using Plant Growth Simulation Algorithm

Authors: R. Srinivasa Rao, S. V. L. Narasimham


This paper presents a new and efficient approach for capacitor placement in radial distribution systems that determine the optimal locations and size of capacitor with an objective of improving the voltage profile and reduction of power loss. The solution methodology has two parts: in part one the loss sensitivity factors are used to select the candidate locations for the capacitor placement and in part two a new algorithm that employs Plant growth Simulation Algorithm (PGSA) is used to estimate the optimal size of capacitors at the optimal buses determined in part one. The main advantage of the proposed method is that it does not require any external control parameters. The other advantage is that it handles the objective function and the constraints separately, avoiding the trouble to determine the barrier factors. The proposed method is applied to 9, 34, and 85-bus radial distribution systems. The solutions obtained by the proposed method are compared with other methods. The proposed method has outperformed the other methods in terms of the quality of solution.

Keywords: Distribution systems, Capacitor placement, loss reduction, Loss sensitivity factors, PGSA.

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[1] Y. H. Song, G. S. Wang, A. T. Johns and P.Y. Wang, "Distribution network reconfiguration for loss reduction using Fuzzy controlled evolutionary programming," IEEE Trans. Gener., trans., Distri., Vol. 144, No.4, July 1997.
[2] J. V. Schmill, "Optimum Size and Location of Shunt Capacitors on Distribution Feeders," IEEE Transactions on Power Apparatus and Systems, vol. 84, pp. 825-832, September 1965.
[3] H. Dura "Optimum Number Size of Shunt Capacitors in Radial Distribution Feeders: A Dynamic Programming Approach", IEEE Trans. Power Apparatus and Systems, Vol. 87, pp. 1769-1774, Sep 1968.
[4] J. J. Grainger and S. H. Lee, "Optimum Size and Location of Shunt Capacitors for Reduction of Losses on Distribution Feeders," IEEE Trans. on Power Apparatus and Systems, Vol. 100, No. 3, pp. 1105- 1118, March 1981.
[5] J.J. Grainger and S. Civanlar, "Volt/var control on Distribution systems with lateral branches using shunt capacitors as Voltage regulators-part I, II and III," IEEE Trans. Power Apparatus and systems, vol. 104, No. 11, pp. 3278-3297, Nov. 1985.
[6] M. E Baran and F. F. Wu, "Optimal Sizing of Capacitors Placed on a Radial Distribution System", IEEE Trans. Power Delivery, vol. No.1, pp. 1105-1117, Jan. 1989.
[7] M. E. Baran and F. F. Wu, "Optimal Capacitor Placement on radial distribution system," IEEE Trans. Power Delivery, vol. 4, No.1, pp. 725- 734, Jan. 1989.
[8] Sundharajan and A. Pahwa, "Optimal selection of capacitors for radial distribution systems using genetic algorithm," IEEE Trans. Power Systems, vol. 9, No.3, pp.1499-1507, Aug. 1994.
[9] H. N. Ng, M. M. A. Salama and A. Y. Chikhani , "Capacitor Allocation by Approximate Reasoning: Fuzzy Capacitor Placement," IEEE Trans. Power Delivery, vol. 15, no.1, pp. 393-398, Jan. 2000.
[10] H.C.Chin, "Optimal Shunt Capacitor Allocation by Fuzzy Dynamic Programming," Electric Power Systems Research, pp.133-139, Nov. 1995.
[11] N. I. Santoso, O. T. Tan, "Neural- Net Based Real- Time Control of Capacitors Installed on Distribution Systems," IEEE Trans. Power Delivery, vol. PAS-5, No.1, pp. 266-272, Jan. 1990.
[12] M. Kaplan, "Optimization of Number, Location, Size, Control Type and Control Setting Shunt Capacitors on Radial Distribution Feeder", IEEE Trans. on Power Apparatus and System, Vol.103, No.9, pp. 2659-63, Sep 84.
[13] Chun Wang and Hao Zhong Cheng, "Reactive power optimization by plant growth simulation algorithm," IEEE Trans. on Power Systems, Vol.23, No.1, pp. 119-126, Feb. 2008.
[14] Ji-Pyng Chiou , Chung-Fu Chang and Ching-Tzong Su, "Capacitor placement in large scale distribution system using variable scaling hybrid differential evolution," Electric Power and Energy Systems, vol. 28, pp.739-745, 2006.
[15] Chun Wang, H. Z. Chengand L. Z Yao, "Optimization of network reconfiguration in large distribution systems using plant growth simulation algorithm," DRPT 2008 Conference, Nanjing, China, pp. 771-774, 6-9, April 2008.
[16] Baghzouz. Y and Ertem S, "Shunt capacitor sizing for radial distribution feeders with distorted substation voltages," IEEE Trans Power Delivery, Vol. 5, pp.650-57, 1990.
[17] J. B. Bunch, R. D. Miller, and J. E. Wheeler, "Distribution system integrated voltage and reactive power control," IEEE Trans. Power Apparatus and Systems, vol. 101, no. 2, pp. 284-289, Feb. 1982.
[18] S. F. Mekhamer et al, "New heuristic strategies for reactive power compensation of radial distribution feeders," IEEE Trans Power Delivery, Vol. 17, No. 4, pp.1128-1135, October 2002.
[19] Su C. T and Tsai C. C, "A new fuzzy reasoning approach to optimum capacitor allocation for primary distribution systems," Proc IEEE on Industrial Technology Conf, 1996; pp. 237-41.
[20] D. Das, "Reactive power compensation for radial distribution networks using genetic algorithms," Electric Power and Energy Systems, vol. 24, pp.573-581, 2002.
[21] Prakash K. and Sydulu M, "Particle swarm optimization based capacitor placement on radial distribution systems," IEEE Power Engineering Society general meeting 2007. pp. 1-5.
[22] M.Chis, M. M. A. Salama and S. Jayaram, "Capacitor Placement in distribution system using heuristic search strategies," IEE Proc-Gener, Transm, Distrib, vol, 144, No.3, pp. 225-230, May 1997.
[23] Das et al, "Simple and efficient method for load flow solution of radial distribution network," Electric Power and Energy Systems, vol. 17, No.5, pp.335-346, 1995.
[24] H. D. Chiang, J. C.Wang, O. Cockings, and H. D. Shin, "Optimal capacitor placements in distribution systems: Part1 & Part II", IEEE Trans. Power Delivery, vol. 5, pp. 634-649, Apr. 1990.
[25] M. Jaeger and P. H. De Reffye, "Basic concepts of computer simulation of plant growth," Journal of Bioscience (India), Vol. 17, No. 3, pp. 275- 291, September 1992.