Bifurcação de bogdanov-takens em um modelo de sistema elétrico de potência

Abstract

In this work is studied the Bogdanov-Takens bifurcation in an electric power system model consisting of a static compensator and two synchronous generators feeding an electric load compound of a static parcel and a dynamic parcel. Sufficient conditions for the existence of a generic Bogdanov-Takens bifurcation in the model are given as well as an analysis of Hopf and saddle-node bifurcations in the context of the Bogdanov-Takens bifurcation. Numerical simulations show the existence of an operationally insurance region in the bifurcation diagram and a curve of saddle node points and a curve of Hopf points that are associates physically to the voltage collapse and the oscillations in the physical variables, respectively, if certain conditions are satisfied.