A Novel Stochastic Framework for the Optimal Placement and Sizing of Distribution Static Compensator


This paper proposes a new stochastic framework based on the probabilistic load flow to consider the uncertainty effects in the Distribution Static Compensator (DSTATCOM) allocation and sizing problem. The proposed method is based on the point estimate method (PEM) to capture the uncertainty associated with the forecast error of the loads. In order to explore the search space globally, a new optimization algorithm based on bat algorithm (BA) is proposed too. The objective functions to be investigated are minimization of the total active power losses and reducing the voltage deviation of the buses. Also to reach a proper balance between the optimization of both the objective functions, the idea of interactive fuzzy satisfying method is employed in the multi-objective formulation. The feasibility and satisfying performance of the proposed method is examined on the 69-bus IEEE distribution system.

Share and Cite:

R. Khorram-Nia, A. Baziar and A. Kavousi-Fard, "A Novel Stochastic Framework for the Optimal Placement and Sizing of Distribution Static Compensator," Journal of Intelligent Learning Systems and Applications, Vol. 5 No. 2, 2013, pp. 90-98. doi: 10.4236/jilsa.2013.52010.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. Kavousi-Fard and M. R. Akbari-Zadeh, “Reliability Enhancement Using Optimal Feeder Reconfiguration,” Neurocomputing, Vol. 106, No. 1, 2013, pp. 1-11. doi:10.1016/j.neucom.2012.08.033
[2] A. Kavousifard and H. Samet, “Consideration Effect of Uncertainty in Power System Reliability Indices Using Radial Basis Function Network and Fuzzy Logic Theory,” Neurocomputing, Vol. 74, No. 17, 2011, pp. 34203427. doi:10.1016/j.neucom.2011.05.017
[3] C. Sumpavakup and T. Kulworawanichpong, “Distribution Voltage Regulation under Three-Phase Fault by Using D-STATCOM,” World Academy of Science, Engineering and Technology, Vol. 47, No. 1, 2008, pp. 238242.
[4] Z. Yang, C Shen, M. L. Crow and L. Zhang, “An Improved STATCOM Model for Power Flow Analysis,” Power Engineering Society Summer Meeting, Vol. 2, Seattle, 16-20 July 2000, pp. 1121-1126.
[5] G. Ledwich and A. A. Ghosh, “Flexible DSTATCOM Operating in Voltage or Current Control Mode,” IEE Proceedings-Generation Transmission and Distribution, Vol. 149, No. 2, 2002, pp. 215-224.
[6] I. Wasiak, R. Mienski, R. Pawelek and P. Gburczyk, “Application of DSTATCOM Compensators for Mitigation of Power Quality Disturbances in Low Voltage Grid with Distributed Generation,” 9th International Conference on Electrical Power Quality and Utilizations, Barcelona, 911 October 2007, pp. 1-6.
[7] T. Niknam, A. Kavousifard, S. Tabatabaei and J. Aghae, “Optimal Operation Management of Fuel Cell/Wind/Photovoltaic Power Sources Connected to Distribution Networks,” Journal of Power Sources, Vol. 196, No. 20, 2011, pp. 8881-8896. doi:10.1016/j.jpowsour.2011.05.081
[8] L. L. Lai and J. T. Ma, “Application of Evolutionary Programming to Reactive Power Planning-Comparison with Nonlinear Programming Approach,” IEEE Transactions on Power Systems, Vol. 12, No. 1, 1997, pp. 198-206. doi:10.1109/59.574940
[9] T. Niknam and A. Kavousifard, “Impact of Thermal Recovery and Hydrogen Production of Fuel Cell Power Plants on Distribution Feeder Reconfiguration,” IET Generation Transmission & Distribution, Vol. 6, No. 9, 2012, pp. 831-843. doi:10.1049/iet-gtd.2011.0775
[10] Z. Xu, Z. Y. Dong and K. P. Wong, “Genetic AlgorithmBased Spinning Reserve Dispatching in a Competitive Electricity Market,” International Journal of Systems Science, Vol. 35, No. 13-14, 2004, pp. 847-853. doi:10.1080/00207720412331303688
[11] T. Niknam, A. Kavousifard and J. Aghaei, “ScenarioBased Multiobjective Distribution Feeder Reconfiguration Considering Wind Power Using Adaptive Modified Particle Swarm Optimization,” IET Generation Transmission & Distribution, Vol. 6, No. 4, 2012, pp. 236-247. doi:10.1049/iet-rpg.2011.0256
[12] D. Debaprya, “A Fuzzy Multi-Objective Approach for Network Reconfiguration of Distribution Systems,” IEEE Transactions on Power Delivery, Vol. 21, No. 1, 2006, pp. 202-209. doi:10.1109/TPWRD.2005.852335
[13] T. Niknam, A. K. Fard and A. Seifi, “Distribution Feeder Reconfiguration Considering Fuel Cell/Wind/Photovoltaic power Plants,” Journal of Renewable and Sustainable Energy, Vol. 37, No. 1, 2012, pp. 213-225. doi:10.1016/j.renene.2011.06.017
[14] S. Jazebi, S. H. Hosseinian and B. Vahidi, “DSTATCOM Allocation in Distribution Networks Considering Reconfiguration Using Differential Evolution Algorithm,” Energy Conversion and Management, Vol. 52, No. 7, 2011, pp. 2777-2783. doi:10.1016/j.enconman.2011.01.006
[15] T. Niknam, A. K. Fard and A. Baziar, “Multi-Objective Stochastic Distribution Feeder Reconfiguration Problem Considering Hydrogen and Thermal Energy Production by Fuel Cell Power Plants,” Energy, Vol. 4, No. 1, 2012, pp. 563-573. doi:10.1016/j.energy.2012.02.023
[16] A. Baziar, A. Kavoosi-Fard and J. Zare, “A Novel Self Adaptive Modification Approach Based on Bat Algorithm for Optimal Management of Renewable MG,” Journal of Intelligent Learning Systems and Applications, Vol. 5, 2013, pp. 11-18. doi:10.4236/jilsa.2013.51002
[17] M. E. Baran and F. F. Wu, “optimal Capacitor Placement on Radial Distribution Systems,” IEEE Transactions on Power Delivery, Vol. 4, No. 1, 1989, pp. 725-734. doi:10.1109/61.19265

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.