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

Amano Hiroyuki | Zendy; Kumano Teruhisa | Zendy; Inoue Toshio | Zendy; Taniguchi Haruhito | Zendy

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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

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