Rotor-angle versus voltage instability in the third-order model for synchronous generators

Konstantin Sharafutdinov; Leonardo Rydin Gorjão; Moritz Matthiae; Timm Faulwasser; Dirk Witthaut

doi:10.1063/1.5002889

Rotor-angle versus voltage instability in the third-order model for synchronous generators

Konstantin Sharafutdinov, Leonardo Rydin Gorjão, Moritz Matthiae, Timm Faulwasser, Dirk Witthaut

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

Abstract

We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.

Original language	English
Article number	033117
Journal	Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume	28
Issue number	3
DOIs	https://doi.org/10.1063/1.5002889
Publication status	Published - 27 Mar 2018

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title = "Rotor-angle versus voltage instability in the third-order model for synchronous generators",

abstract = "We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.",

author = "Konstantin Sharafutdinov and \{Rydin Gorj{\~a}o\}, Leonardo and Moritz Matthiae and Timm Faulwasser and Dirk Witthaut",

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AU - Sharafutdinov, Konstantin

AU - Rydin Gorjão, Leonardo

AU - Matthiae, Moritz

AU - Faulwasser, Timm

AU - Witthaut, Dirk

PY - 2018/3/27

Y1 - 2018/3/27

N2 - We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.

AB - We investigate the interplay of rotor-angle and voltage stability in electric power systems. To this end, we carry out a local stability analysis of the third-order model which entails the classical power-swing equations and the voltage dynamics. We provide necessary and sufficient stability conditions and investigate different routes to instability. For the special case of a two-bus system, we analytically derive a global stability map.

U2 - 10.1063/1.5002889

DO - 10.1063/1.5002889

M3 - Article

SN - 1089-7682

VL - 28

JO - Chaos: An Interdisciplinary Journal of Nonlinear Science

JF - Chaos: An Interdisciplinary Journal of Nonlinear Science

IS - 3

M1 - 033117

ER -

Rotor-angle versus voltage instability in the third-order model for synchronous generators

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