Symmetric AC fuzzy power flow model |
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Authors: | Eduardo M Gouveia Manuel A Matos |
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Institution: | 1. ESTV – School of Technology of Viseu, Polytechnic Institute of Viseu, Campus Politécnico de Repeses, 3504-510 Viseu, Portugal;2. INESC Porto – Instituto de Engenharia de Sistemas e Computadores do Porto FEUP – Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, n° 378, 4200-465 Porto, Portugal |
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Abstract: | Power flow calculations are one of the most important computational tools for planning and operating electric power systems. After the stabilization of the deterministic power flow calculation methods, the need to capture uncertainty in load definition lead first to the development of probabilistic models, and later to fuzzy approaches able to deal with qualitative declarations and other non-probabilistic information about the value of the loads. Present fuzzy power flow (FPF) calculations use typically incremental techniques, in order to obtain a good approximation of the fuzzy state variables. However, these models and procedures are not entirely satisfactory for the evaluation of the adequacy of the electric transmission system, since they are not completely symmetric. In this paper, we show how to perform the detailed calculation of the state variables of the FPF problem in an exact and symmetrical way, by means of solving multiple optimization problems. The procedure is illustrated using the IEEE 118 test system. |
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Keywords: | Linear programming Nonlinear programming Power flow Fuzzy models Optimization |
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