A Global Optimization Technique for the Capacitor Placement in Distribution Systems

배전계통 커패시터 설치를 위한 전역적 최적화 기법

  • 이상봉 (성균관대 정보통신공학부) ;
  • 김규호 (안산공과대학 전기과) ;
  • 이상근 (강릉대 전기정보통신공학부)
  • Published : 2008.05.01


The general capacitor placement problem is a combinatorial optimization problem having an objective function composed of power losses and capacitor installation costs subject to bus voltage constraints. In this paper, a global optimization technique, which employing the chaos search algorithm, is applied to solve optimal capacitor placement problem with reducing computational effort and enhancing global optimality of the solution. Chaos method in optimization problem searches the global optimal solution on the regularity of chaotic motions and easily escapes from local or near optimal solution than stochastic optimization algorithms. The chaos optimization method is tested on 9 buses and 69 buses system to illustrate the effectiveness of the proposed method.


Capacitor placement;Chaos search;Golbal optimization;Distribution system


  1. S. J. Huang, "An Immune-Based Optimization method to Capacitor Placement in a Radial DistributionSystem," IEEE Trans. on PWRD, vol. 15, no. 2, pp.744-749, Apr. 2000
  2. M. Baran, F. Wu, "Optimal Capacitor Placement on Radial Distribution System", IEEE Trans. on Power Delivery, vol. 4, No. 1, pp.725-734, January, 1989 https://doi.org/10.1109/61.19265
  3. B. Li and W. Jiang, "Optimizing complex Functions by Chaos search," An International Journal of Cybernetics and Systems, vol. 29, pp. 409-419, 1998 https://doi.org/10.1080/019697298125678
  4. H. D. Chiang, J. C. Wang, O. Cockings, H. D. Shin, "Optimal Capacitor Placements in Distribution System: Part I, Part II", IEEE Trans. on Power Delivery, Vol. 5, No. 2, pp.634-649, January, 1990 https://doi.org/10.1109/61.53065
  5. C. S. Chen, C. T. Hsu, Y. H. Yan, "Optimal Distribution Feeder Capacitor Placement Considering Mutual Coupling Effect of Conductors", IEEE Trans. on Power Delivery, Vol. 10, No. 2, pp.987-994, April, 1995 https://doi.org/10.1109/61.400830
  6. N. I. Santoso and O. T. Tan, "Neural-Net Based Real-Time control of Capacitors Installed on Distribution Systems," IEEE Trans. on PWRD, vol. 5, no. 1, pp. 266-272, Jan. 1990
  7. S. Ghosh and D. Das, "Method for load-flow solution of radial distribution networks," IEE Proc.-Gener. Trans. Distrib., vol. 146, No. 6, pp. 641-648, Nov. 1999 https://doi.org/10.1049/ip-gtd:19990464
  8. K. T. Alligood, T. D. Sauer, and J. A. Yorke, CHAOS an Introduction to Dynamical Systems, Springer-Verlag New York, Inc., 1997, p. 18-35
  9. Y. Baghzouz, S. Ertem, "Shunt Capacitor Sizing for Radial Distribution Feeders with Distorted Substation Voltages," IEEE Trans. on PWRD, vol. 5, no. 2, pp. 650-657, Apr. 1990
  10. M. A. EI-sharkawi and S. J. Huang, "Ancillary Technique for Neural Network Applications," IEEE International Conference on Neural Networks, Orlando, Florida, USA, June 1994