Abstract
This paper proposes an efficient method for optimal capacitor allocation in electric power distribution systems. The proposed method is based on a new metaheuristic method, MVMO (Mean Variance Mapping Optimization) that makes use of information on the mean and variance of archives through the mapping function. The optimal capacitor allocation is aimed at minimizing the active power network losses under some constraints with capacitor banks. The mathematical formulation results in a combinatorial optimization problem. In this paper, MVMO-SH is proposed to evaluate better solutions. It introduces swarm intelligence into MVMO that finds out better solutions with the mean and variance obtained from the archives. It improves the performance of MVMO with the multi-point search and multi-parent crossover. The proposed method is successfully applied to the IEEE 69-bus and 119-bus electric power distribution systems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Duran, H.: Optimum number, location and size of shunt capacitors in radial distribution feeders a dynamic programming approach. IEEE Trans. Power Apparatus Syst. PAS-87(9), 1769–1774 (1968)
Grainger, J.J., Lee, S.H.: Optimum size and location of shunt capacitors for reduction of losses on distribution feeders. IEEE Trans. Power Apparatus Syst. PAS-100(3), 1105–1118 (1981)
Grainger, J.J., Civanlar, S.: Volt/Var control on distribution systems with lateral branches using shunt capacitors and voltage regulators parts I, II and III. IEEE Trans. Power Apparatus Syst. PAS-104(11), 3278–3297 (1985)
Baran, M.E., Wu, F.F.: Optimal capacitor placement on radial distribution systems. IEEE Trans. on Power Delivery 4(1), 725–734 (1989)
Baran, M.E., Wu, F.F.: Optimal sizing of capacitors placed on a radial distribution system. IEEE Trans. Power Deliv. 4(1), 735–743 (1989)
Chiang, H.D., Wang, J.C., Cockings, O., Shin, H.D.: Optimal capacitor placements in distribution systems: parts I and II. IEEE Trans. Power Deliv. 5(2), 634–649 (1990)
Sundhararajan, S., Pahwa, A.: Optimal selection of capacitors for radial distribution system using a genetic algorithm. IEEE Trans. Power Syst. 9(3), 1499–1507 (1994)
Gallego, R.A., Monticell, A.J., Romero, R.: Optimal capacitor placement in radial distribution networks. IEEE Trans. Power Syst. 16(4), 630–637 (2001)
Oo, N.W.: A comparison study on particle swarm and evolutionary particle swarm optimization using capacitor placement problem. In: IEEE 2nd International Power and Energy Conference 2008, Johor Baharu, Malaysia, pp. 1208–1211 (2008)
Erlich, I., Venayagamoorthy, G.K., Worawat, N.: A mean-variance optimization algorithm. In: IEEE CEC 2010, Shanghai, China, pp. 1–6 (2010)
Erlich, I., Nakawiro, W., Martinez, M.: Optimal dispatch of reactive sources in wind farms. In: IEEE PES General Meeting 2011, Detroit, MI, USA, pp. 1–7 (2010)
Nakawiro, W., Erlich, I., Rueda, L.: A novel optimization algorithm for optimal reactive power dispatch: a comparative study. In: 4th International Conference on Electric Utility Deregulation and Restructuring and Power Technologies, Weihai, China, pp. 1555–1561 (2011)
Rueda, J.L., Loor, R., Erlich, I.: MVMO for optimal reconfiguration in smart distribution systems. In: 9th IFAC Symposium on Control of Power and Energy Systems, New Delhi, India, pp. 276–281 (2015)
Rueda, J.L., Erlich, I.: Hybrid mean-variance mapping optimization for solving the IEEE-CEC 2013 competition problems. In: IEEE CEC 2013, Cancun, Mexico, pp. 1664–1671 (2013)
Rueda, J.L., Erlich, I.: Testing MVMO on learning-based real-parameter single objective benchmark optimization problems. In: IEEE CEC 2015, Sendai, Japan, pp. 1025–1032 (2015)
Chiang, H.D., Jumeau, R.J.: Optimal network reconfigurations in distribution systems: parts I and II. IEEE Trans. Power Deliv. 5(4), 1902–1909 (1990)
Zhang, D., Fu, Z., Zhang, L.: An improved TS algorithm for loss-minimum reconfiguration in large-scale distribution systems. Electr. Power Syst. Res. 77, 685–694 (2007)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: IEEE IJCNN 1995, Perth, Australia, vol. 4, pp. 1942–1948 (1995)
Miranda, V., Fonseca, N.: EPSO-best-of-two-words meta-heuristic applied to power system problems. In: IEEE CEC 2003, Newport Beach, CA, USA, vol. 2, pp. 1080–1085 (2003)
Kennedy, J., Eberhart, R.C.: A discrete binary version of the particle swarm algorithm. In: IEEE SMC 1997, Orlando, FL, USA, vol. 5, pp. 4104–4108 (1997)
Chiang, H.D.: A decoupled load flow method for distribution power network: algorithms, analysis and convergence study. Electr. Power Energy Syst. 13(3), 130–138 (1991)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Mori, H., Ikegami, H. (2017). An Efficient MVMO-SH Method for Optimal Capacitor Allocation in Electric Power Distribution Systems. In: Tan, Y., Takagi, H., Shi, Y., Niu, B. (eds) Advances in Swarm Intelligence. ICSI 2017. Lecture Notes in Computer Science(), vol 10386. Springer, Cham. https://doi.org/10.1007/978-3-319-61833-3_49
Download citation
DOI: https://doi.org/10.1007/978-3-319-61833-3_49
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-61832-6
Online ISBN: 978-3-319-61833-3
eBook Packages: Computer ScienceComputer Science (R0)