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Applications of Optimization to Voltage Collapse Analysis
Abstract: This paper describes several applications of optimization for voltage stability analysis (VSA) of power systems. Voltage stability problems, particularly those related to voltage collapse, are presented here as optimization problems, formally demonstrating, with the help of bifurcation theory, that well-known voltage collapse techniques are basically equivalent to some typical optimization methodologies. Recently developed analysis techniques and new research directions that have sprung up from bifurcation analysis of power systems and the application of optimization techniques to VSA are also presented in this paper. Throughout the paper, the advantages and disadvantages of using differentoptimization techniques for VSA in practical systems are discussed as well.