Frequency domain analysis of Hopf bifurcations in electric power networks

Abstract

An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances.<>