A Fuzzy Set Theory Approach to Handle Parameter Uncertainties in Saddle Node Bifurcation Analysis

摘要

A fuzzy set theory approach for handling parameter uncertainties in saddle node bifurcation analysis of power system voltage stability problem is proposed. Unlike the conventional way of assigning crisp values to parameters, a fuzzy membership distribution is assigned to model them. Advantages of the proposed scheme over that of the crisp parameter assignment are notable. Besides incorporating parameter uncertainties in the analysis, it also enables to foresee the uncertainties in state variables through a set of fuzzy patterns presented in this article. Numerical findings justifying the fuzzy set theory application to saddle node bifurcation analysis of IEEE 14-bus test system are presented in a concise manner.