A Stability Criterion for Nonlinear Oscillations in Power Systems by Hopf Bifurcation Theory

Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue; Haruhito Taniguchi

doi:10.1541/ieejpes1990.121.6_708

Abstract

A stability criterion for nonlinear oscillations in power systems is proposed. It consists of calculation of a limit cycle by application of Hopf bifurcation theory and nonlinear transformation of the coordinates using invariant manifolds. The proposed method is verified in a single-machine infinite bus system.

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