Fuzzy Power Flow Based on Fuzzilized Matpower

Abstract:

In the last several decades, a couple of fuzzy power flow algorithms were presented to deal with the uncertainties in power grid. But there is no a functional simulation tool introduced to simplify the calculation. This paper presents a simulation tool, Matpower, under one of the algorithms to do the fuzzy power flow calculation. The algorithm gives the user the possibility to specify fuzzy numbers to represent the possible behavior of loads and generations and outputs fuzzy membership functions for voltage magnitudes and phases, active and reactive power flows and generations. Matpower, as a simulation tool, was modified to handle fuzzy numbers and show fuzzy results. In a final section, we present results obtained with a case study based on a real power system to illustrate and highlight details of the proposed algorithm. Suggestions for future implementation of the fuzzy Matpower are also summarized.

• Periodical: Applied Mechanics and Materials (Volumes 719-720)
• Pages: 615-621
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.719-720.615
• Online since: January 2015
• Authors: Bo Ran Wang
• Keywords: Fuzzy Set Theory, Matpower, Power Flow

References

[1] R. D. Zimmerman, C. E. Murillo-S_anchez, and R. J. Thomas, \Matpower: Steady State Operations, Planning and Analysis Tools for Power Systems Research and Education, " Power Systems, IEEE Transactions on, vol. 26, no. 1, p.12{19, Feb. (2011).

DOI: 10.1109/tpwrs.2010.2051168

[2] L. A. Zadeh, Fuzzy Sets, Information and Control, no. 8, pp.338-353, August (1965).

[3] J. T. Saraiva, V. Miranda and L.M.V.G. Pinto, Impact on Some Planning Decisions from a Fuzzy Modelling of Power Systems, IEEE Trans. Power Systems, vol. 9, no. 2, May (1994).

DOI: 10.1109/59.317634

[4] J. T. Saraiva, V. Miranda and M. Matos, Generation and load uncertainties incorporated in load flow studies, Proceedings 6th Mediterranean Electrotechnical Conference, pp.1339-1342, 22-24 Mayo1991.

DOI: 10.1109/melcon.1991.162089

[5] J. T. Saraiva, N. Fonseca and M. A. Matos, Fuzzy power flow - An AC model addressing correlated data, 8th International Conference on Probabilistic Methods Applied to Power systems, Iowa State University, Ames, Iowa, September 12-16 (2004).

[6] Hongbo Sun, David C. Yu, Yongsheng Xie, Application of Fuzzy Set Theory to Power Flow Analysis with Uncertain Power Injections, Power Engineering Society Winter Meeting, 2000. IEEE.

DOI: 10.1109/pesw.2000.850116

[7] J. T. Saraiva, F. O. Duarte, Enhanced Fuzzy Power Flow Models Integrating Correlation Between Nodal Injections", in Proceedings of the Melecon, 96, Ban, Italy.

DOI: 10.1109/melcon.1996.551352