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A model for numerical evaluation of the global stability region in power systems determined by a nonlinear limit cycle
Authors:Kazuo Nakayama  Yasunobu Yokomizu  Toshiro Matsumura  Eiji Kanamori  Kazuo Kuwamura
Affiliation:Osaka University, Japan
Abstract:A power system is a large dynamic system, which includes many nonlinear elements. According to the nonlinear analyses using Hopf bifurcation theory, it can be detected that a limit cycle exists around an operating point, which may affect the global stability of a power system significantly. The authors have presented a numerical method to analyze the nonlinear characteristics in power systems by observing the power swing after some perturbation where the coefficients of nonlinear terms are determined by the least squares method. In this paper the method is modified for the application to a longitudinally interconnected power system including an excitation system, and the influence of the excitation voltage limiter on the nonlinear phenomena of the whole power system can be detected by some numerical analyses. © 2003 Wiley Periodicals, Inc. Electr Eng Jpn, 144(3): 17–27, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.10193
Keywords:power system  transient stability  Hopf bifurcation  nonlinear limit cycle
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