Optimal Capacitors Placement of Distribution Systems Using 2^nd Order Power Loss Sensitivity Analysis and Hierarchical Clustering

Abstract:

Heuristic methods by first order sensitivity analysis are often used to determine location of capacitors of distribution power system. The selected nodes by first order sensitivity analysis often have virtual high by first order sensitivities, which could not obtain the optimal results. This paper presents an effective method to optimally determine the location and capacities of capacitors of distribution systems, based on an innovative approach by the second order sensitivity analysis and hierarchical clustering. The approach determines the location by the second order sensitivity analysis. Comparing with the traditional method, the new method considers the nonlinear factor of power flow equation and the impact of the latter selected compensation nodes on the previously selected compensation location. This method is tested on a 28-bus distribution system. Digital simulation results show that the reactive power optimization plan with the proposed method is more economic while maintaining the same level of effectiveness.

• Periodical: Advanced Materials Research (Volumes 986-987)
• Pages: 377-382
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.986-987.377
• Online since: July 2014
• Authors: Hui Min Gao*, Jian Min Zhang, Chen Xi Wu
• Keywords: Distribution System, Hierarchical Clustering, Location of Capacitors, Second Order Loss-Reactive Power Sensitivity Matrix, Sensitivity Analysis

References

[1] H.N. Ng, A.Y. Chikhani, Classification of capacitor allocation techniques, IEEE Trans. Power Del, 15 (1) (2000) 387–392.

DOI: 10.1109/61.847278

[2] S. Civanlar, J.J. Grainger, Volt/Var control on distribution systems with lateral branches using shunt capacitors and voltage regulators. Part II. The solution method, IEEE Transactions on Power and Application Systems, 104 (1985) 3284–3290.

DOI: 10.1109/tpas.1985.318843

[3] R. Baldick, F.F. Wu, Efficient integer optimization algorithms for optimal coordination of capacitors and regulators, IEEE Transactions on Power Systems, 5 (1990) 805–812.

DOI: 10.1109/59.65909

[4] M. Chis, M.M.A. Salama, S. Jayaram, Capacitor placement in distribution systems using heuristic search strategies, IEE Proceedings – Generation, Transmission and Distribution, 144 (1997) 225–230.

DOI: 10.1049/ip-gtd:19970945

[5] S. Sundhararajan and A. Pahwa, Optimal selection of capacitors for radial distribution systems using a genetic algorithm, IEEE Trans. Power Systems, 9(3)(1994): 1499-1505.

DOI: 10.1109/59.336111

[6] Das B, Kumar P. Artificial neural network based optimal capacitor switching in a distribution systems. Electrical power energy systems, 60(2)(2001)55-62.

DOI: 10.1016/s0378-7796(01)00149-3

[7] C.T. Su, C.S. Lee, Feeder reconfiguration and capacitor setting for loss reduction of distribution systems, Electric Power Systems Research, 58 (2001) 97-102.

DOI: 10.1016/s0378-7796(01)00124-9

[8] M.D. Reddy, V.C.V. Reddy, Optimal capacitor placement using fuzzy and real coded genetic algorithm for maximum savings, J. Theor. Appl. Inf. Technol. (2008) 219-226.

[9] Ahmed R. Abul'Wafa. Optimal capacitor allocation in radial distribution systems for loss reduction: A two stage method, Electric Power Systems Research, 95 (2013) 168-174.

DOI: 10.1016/j.epsr.2012.09.004

[10] Gang Xu, Qi Zhou, Comprehensive Sensitivity-based reactive power optimization under the hierarchical and regional in transmission network, Environment and Electrical Engineering (EEEIC), 2012 11th International Conference on (2012) 292-297.

DOI: 10.1109/eeeic.2012.6221591

[11] B. Mirzaeian Dehkordi,M. Moallem ,S.J. Rezazadeh, O. Amanifar , M. Keivanfard, Optimal capacitor placement and sizing in TABRIZ distribution system using loss sensitivity factors and particle swarm optimization (PSO), Electrical Power Distribution Networks (EPDC), 2012 Proceedings of 17th Conference on (2012).

DOI: 10.1109/epdc.2016.7514799

[12] c.P. Ionescu, C. Bulac, M. Eremia, M. Roscia, Evolutionary techniques, a sensitivity-based approach for handling discrete variables in reactive power planning, Harmonics and quality of power(ICHQP), 2012 IEEE 15th International conference on , (2012).

DOI: 10.1109/ichqp.2012.6381296

[13] Alberto Berizzi, Cristian Bovo, Marco Merlo, Gabriele Callegari, Marco Porcellini, Massimo Pozzi. Second order sensitivities for constrained reactive optimal power flow. Universities Power Engineering conference，(2008)1-7.

DOI: 10.1109/upec.2008.4651487

[14] Das D, Nagl H S, Kothari D P. Novel method for solving radial distribution network. IEE Proc Gener Trans Distrib, 141 (4)(1994) 291-298.

DOI: 10.1049/ip-gtd:19949966