Bifurcation Subsystem Method Based Classification for Power System Stability Problems

Abstract

A bifurcation subsystem method based classification of types and classes of bifurcation is presented in this article. The study of the types of stability problems in power systems and the identification of different classes of each type of bifurcation are required in order to prescribe cures for stabilizing a specific bifurcation. With the help of the bifurcation subsystem method, this article is trying to address the following questions which have been raised: (a) what is the relation between network and dynamic bifurcation?; (b) how and why are interarea and local modes produced?; (c) what are the classes and types of bifurcation for different load models?; and (d) how do we find the bifurcation subsystem and the behaviors when singularity induced bifurcation occurs? The bifurcation subsystem method is applied to a two-area example power system and the classification of bifurcations that occur to this example system is studied thoroughly. The complete numerical examples are shown and analyzed to verify the classes of saddle-node, Hopf, and singularity induced bifurcation hypothesized previously.