A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory

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. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 139(4): 1–8, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.10008