A Simple Approach of Three phase Distribution System Modeling for Power Flow Calculations

Authors: J. B. V. Subrahmanyam, C. Radhakrishna

Abstract:

This paper presents a simple three phase power flow method for solution of three-phase unbalanced radial distribution system (RDN) with voltage dependent loads. It solves a simple algebraic recursive expression of voltage magnitude, and all the data are stored in vector form. The algorithm uses basic principles of circuit theory and can be easily understood. Mutual coupling between the phases has been included in the mathematical model. The proposed algorithm has been tested with several unbalanced radial distribution networks and the results are presented in the article. 8- bus and IEEE 13 bus unbalanced radial distribution system results are in agreements with the literature and show that the proposed model is valid and reliable.

Keywords: radial distribution networks, load flow, circuitmodel, three-phase four-wire, unbalance.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085954

References:

[1] D. Das, D. P. Kothari, and A. Kalam, 1995. Simple and efficient method for load flow solution of radial distribution networks, Electrical Power and Energy Systems, 17(5):335-346.
[2] S. Ghosh, D. Das, 1999. Method for load flow solution of radial distribution networks, IEE Proc. Generation, Transmission and Distribution, 146(6):641-648.
[3] P. Aravindhababu, 2003. A new fast decoupled power flow method for distribution systems, Electric Power Components and Systems, 31(9):869-878.
[4] R. D. Zimmerman and H. D. Chiang, 1995. Fast decoupled power flow for unbalanced radial distribution systems, IEEE-PES Winter Meeting, paper no. 95, New York.
[5] S. K. Goswami and S. K. Basu, 1991. Direct solution of distribution systems, IEE Proc. C, 188(1):78-88.
[6] D. Thukaram, H. M. Wijekoon Banda, and J. Jerome, 1999. A Robust three phase power flow algorithm for radial distribution systems, Electric Power System Research, 50(3):227-236.
[7] W. M. Lin, Y. S. Su, H. C. Chin, and J. H. Teng, 1999. Three-Phase unbalanced distribution power flow solutions with minimum data preparation, IEEE Trans. on Power Systems, 14(3):1178-1183.
[8] P. A. N. Garcia, J. L. R. Pereira, S. Carnerio, V. M. da Costa, and N. Martins, 2000. Three-Phase power flow calculations using the current injection method, IEEE Trans. on Power Systems , 15( 2):508-514.
[9] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2001. Voltage control devices models for distribution power flow analysis, IEEE Trans. Power Syst., 16(4):586-594.
[10] P. A. N. Garcia, J. L. R. Pereira, and S. Carneiro, Jr., 2004. Improvements in the representation of PV buses on three-phase distribution power flow, IEEE Trans. Power Del., 19(2):894-896.
[11] K. N. Mui and H. D. Chiang, 2000. Existence, uniqueness and monotonic properties of the feasible power flow solution for radial three phase distribution networks, IEEE Trans. Circuit and Syst., 47(10):1502-1514.
[12] W. M. Lin and J. H. Teng, 2000. Three-Phase distribution networks fast decoupled power flow solutions, Electric Power and Energy Systems, 22(5):375-380.
[13] T. H. Chen, M. S. Chen, K. J. Hwang, P. Kotas, and E. A. Chebli, 1991. Distribution system power flow analysis-a rigid approach, IEEE Trans. on Power Delivery, 6(3):1146-1153.
[14] J. H. Teng, 2002. A Modified gauss-seidel algorithm of three-phase power flow analysis in distribution network, Electrical Power and Energy Systems, 24(2):97-102.
[15] J. H. Teng, 2000. A Network-Topology-based Three-Phase Load Power Flow for Distribution Systems, Proceedings of National Science Council ROC (A), 24(4):259-264.
[16] L. L. Grgsby: Editor-in-Chief, The Electric Power Engineering Handbook, CRC Press 1999, pages 6-53 to 6-62.
[17] W. H. Kersting, Distribution System Modeling and Analysis, CRC Press 2002, chapter 9.
[18] J. Nagarath and D. P. Kothari, Power system Engineering, New Delhi: Tata McGraw Hill Publications, 2nd edition, 1998.
[19] D. Shirmohammadi and Carol S. Cheng, 1995. A Three phase power flow method for real time distribution system analysis, IEEE Trans. on Power System, 10(2):671-679.
[20] IEEE Distribution System Analysis Subcommittee, 1991. Radial distribution test feeders, IEEE Trans. on Power Systems, 6(3):975- 985.
[21] Radial Distribution test feeders - web:http://www.ewh.ieee.org/soc/pes/dsacom/testfeeders.html.