Resumo:
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.
