Transactions on Machine Intelligence

Transactions on Machine Intelligence

Optimization of Capacitor Placement and Sizing in Radial Distribution Systems Using Enhanced Harmony Search Algorithm, PSO, and TLBO with Power Loss Index (PLI)

Document Type : Original Article

Authors
S. Azad 1
M. M. Amiri 1
M. Yarmohammadi 2
M. Setayesh Nazar 3
1 Department of Electrical Engineering, Shahid Beheshti University, Tehran, Iran
2 Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran
3 ssistant Professor, Department of Electrical Engineering, Shahid Beheshti University, Tehran, Iran
10.47176/TMI.2022.265
Abstract
Given the significant contribution of the distribution network to the total system losses, it is essential to implement fundamental measures to reduce losses in the distribution network. The placement and optimal sizing of parallel capacitors to reduce power losses and improve voltage profiles is a common issue in power system design and control, which has been extensively studied. In this paper, the Enhanced Harmony Search Algorithm (IHA) is proposed to determine the optimal capacitor placement and sizing, utilizing the Power Loss Index (PLI) in radial distribution systems. The procedure begins by using the PLI to select the buses for optimal capacitor installation, followed by the development of the IHA to determine the optimal location and size of capacitors using PLI. The proposed method has been applied to the IEEE 33-bus and 69-bus radial distribution systems. The results of this algorithm are compared with those of the Particle Swarm Optimization (PSO) algorithm and the Teaching-Learning-Based Optimization (TLBO) algorithm to demonstrate its superiority. Additionally, the IHA is tested under different loading conditions, and the impact of this method on the results has been proven.
Keywords
Enhanced Harmony Search Algorithm (IHA)
Radial Distribution Systems
Power Loss Index (PLI)
Optimal Capacitor Placement and Sizing
Particle Swarm Optimization (PSO)
TLBO
  • Chiang, H. D., Wang, J. C., Cockings, O., & Shin, H. D. (1990). Optimal capacitor placements in distribution systems: Part 1: A new formulation and the overall problem. IEEE Transactions on Power Delivery, 5(2), 634-642. https://doi.org/10.1109/61.53065
  • Gallego, R. A., Monticelli, A. J., & Romero, R. (2001). Optimal capacitor placement in radial distribution networks using Tabu search. IEEE Transactions on Power Systems, 16(4), 630-637. https://doi.org/10.1109/59.962407
  • Sydulu, M., & Reddy, V. (2007). Index and GA based optimal location and sizing of distribution system capacitors. IEEE Power Engineering Society General Meeting, 24-28 June 2007, 1-4. https://doi.org/10.1109/PES.2007.385547
  • Raju, M., Murthy, K., & Avindra, K. (2012). Direct search algorithm for capacitive compensation in radial distribution systems. International Journal of Electrical Power and Energy Systems, 42(1), 24-30. https://doi.org/10.1016/j.ijepes.2012.03.006
  • Hoshmand, R., Mahkami, H., & Khodabakhshian, A. (1988). A new method for optimal placement of capacitors and distributed generators in distribution networks using a bacterial search algorithm combined with PSO. Journal of Electrical Engineering, University of Tabriz, 19(93), 11-42.
  • Esmaeilian, H. R., Darijany, O., & Mohammadian, M. (2014). Optimal placement and sizing of DG units and capacitors simultaneously in radial distribution networks based on the voltage stability security margin. Turkish Journal of Electrical Engineering & Computer Sciences, 1-14.
  • Das, D. (2008). Optimal placement of capacitors in radial distribution system using a Fuzzy-GA method. Electrical Power and Energy Systems, 30(6-7), 361-367. https://doi.org/10.1016/j.ijepes.2007.08.004
  • Augugliaro, A., Dusonchet, L., Favuzza, S., Ippolito, M. G., & Sanseverino, E. R. (2010). A backward sweep method for power flow solution in distribution. International Journal of Electrical Power and Energy Systems, 32(4), 271-280. https://doi.org/10.1016/j.ijepes.2009.09.007
  • Mahdavi, M., Fesanghary, M., & Damangir, E. (2007). An improved harmony search algorithm for solving optimization problems. Applied Mathematics and Computation, 188(2), 1567-1579. https://doi.org/10.1016/j.amc.2006.11.033
  • Omran, M. G. H., & Mahdavi, M. (2008). Global-best harmony search. Applied Mathematics and Computation, 198(2), 643-656. https://doi.org/10.1016/j.amc.2007.09.004
  • Coelho, L. S., & Mariani, V. C. (2009). An improved harmony search algorithm for power economic load dispatch. Energy Conversion and Management, 50(10), 2522-2526. https://doi.org/10.1016/j.enconman.2009.05.034
  • Jeddiand, B., & Vahidinasab, V. (2014). A modified harmony search method for environmental/economic load dispatch of real-world power systems. Energy Conversion and Management, 78, 661-675. https://doi.org/10.1016/j.enconman.2013.11.027
  • Rao, R. V., Savsani, V. J., & Vakharia, D. P. (2011). Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems. Computer-Aided Design, 43(3), 303-315. https://doi.org/10.1016/j.cad.2010.12.015
  • Rao, R. V., Savsani, V. J., & Vakharia, D. P. (2012). Teaching-Learning-Based Optimization: An optimization method for continuous non-linear large scale problems. Information Sciences, 183, 1-15. https://doi.org/10.1016/j.ins.2011.08.006
  • Reddy, V. U., & Manoj, A. (2012). Optimal capacitor placement for loss reduction in distribution systems using bat algorithm. IOSR Journal of Engineering, 2(10), 23-27. https://doi.org/10.9790/3021-021052327
  • Kannan, S. M., Renuga, P., & Monica, A. R. G. (2010). Optimal capacitor placement and sizing using combined Fuzzy-HPSO method. International Journal of Engineering Science and Technology, 2(6), 75-84. https://doi.org/10.4314/ijest.v2i6.63700
  • El-Fergany, A. A., & Abdelaziz, A. Y. (2014). Artificial bee colony algorithm to allocate fixed and switched static shunt capacitors in radial distribution networks. Electrical Power Components and Systems, 42(5), 427-438. https://doi.org/10.1080/15325008.2013.856965
  • Das, D., Nagi, H. S., & Kothari, D. P. (1994). Novel method for solving radial distribution networks. IEE Proceedings Generation, Transmission and Distribution, 141(4), 291-298. https://doi.org/10.1049/ip-gtd:19949966
  • Prakash, K., & Sydulu, M. (2007). Particle swarm optimization based capacitor placement on radial distribution systems. IEEE Power Engineering Society General Meeting, 24-28 June 2007, 1-5. https://doi.org/10.1109/PES.2007.386149
Transactions on Machine Intelligence
Volume 5, Issue 4
Autumn 2022
Pages 265-276

  • Receive Date 20 July 2022
  • Revise Date 14 October 2022
  • Accept Date 25 December 2022