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A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory
Author(s) -
Amano Hiroyuki,
Kumano Teruhisa,
Inoue Toshio,
Taniguchi Haruhito
Publication year - 2002
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.10008
Subject(s) - hopf bifurcation , nonlinear system , limit cycle , control theory (sociology) , mathematics , nonlinear oscillations , stability (learning theory) , invariant (physics) , bifurcation theory , bifurcation , electric power system , limit (mathematics) , power (physics) , mathematical analysis , physics , computer science , control (management) , mathematical physics , quantum mechanics , artificial intelligence , machine learning
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