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

Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue; Haruhito Taniguchi

doi:10.1002/eej.10008

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

Hiroyuki Amano, Teruhisa Kumano, Toshio Inoue, Haruhito Taniguchi

Advanced Power System Engineering Laboratory

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Electrical Engineering in Japan
Volume	139
Issue number	4
DOIs	https://doi.org/10.1002/eej.10008
State	Published - 2002/06

Keywords

Central manifold
Continuous oscillation
Divergence of oscillation
Hopfbifurcation theory
Limit cycle
Nonlinear coordinate transformation
Single-machine infinite bus system
Subcritical
Supercritical

ASJC Scopus subject areas

Energy Engineering and Power Technology
Electrical and Electronic Engineering

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10.1002/eej.10008

Cite this

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title = "A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory",

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.",

keywords = "Central manifold, Continuous oscillation, Divergence of oscillation, Hopfbifurcation theory, Limit cycle, Nonlinear coordinate transformation, Single-machine infinite bus system, Subcritical, Supercritical",

author = "Hiroyuki Amano and Teruhisa Kumano and Toshio Inoue and Haruhito Taniguchi",

year = "2002",

month = jun,

doi = "10.1002/eej.10008",

language = "英語",

volume = "139",

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journal = "Electrical Engineering in Japan",

issn = "0424-7760",

publisher = "John Wiley & Sons Inc.",

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T1 - A stability criterion for nonlinear oscillations in power systems by Hopf bifurcation theory

AU - Amano, Hiroyuki

AU - Kumano, Teruhisa

AU - Inoue, Toshio

AU - Taniguchi, Haruhito

PY - 2002/6

Y1 - 2002/6

N2 - 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.

AB - 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.

KW - Central manifold

KW - Continuous oscillation

KW - Divergence of oscillation

KW - Hopfbifurcation theory

KW - Limit cycle

KW - Nonlinear coordinate transformation

KW - Single-machine infinite bus system

KW - Subcritical

KW - Supercritical

UR - http://www.scopus.com/inward/record.url?scp=0036603808&partnerID=8YFLogxK

U2 - 10.1002/eej.10008

DO - 10.1002/eej.10008

M3 - 学術論文

AN - SCOPUS:0036603808

SN - 0424-7760

VL - 139

SP - 1

EP - 8

JO - Electrical Engineering in Japan

JF - Electrical Engineering in Japan

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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