Global dynamic properties of a synchronous machine model

Pingli Lu; Ying Yang; Lin Huang

doi:10.1142/S0218127408022287

Global dynamic properties of a synchronous machine model

Pingli Lu^*, Ying Yang, Lin Huang

^*Corresponding author for this work

Peking University

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

1 Citation (Scopus)

Abstract

In this paper, rich global dynamical properties are considered for a fundamental synchronous machine model: from global asymptotic stability of trivial equilibrium to chaotic oscillations. Based on KalmanYakubovichPopov (KYP) lemma, static feedback controller is designed such that the synchronous machine model is global asymptotic stable which guarantees that the existence of limit cycles or chaotic oscillations is impossible.

Original language	English
Pages (from-to)	3113-3128
Number of pages	16
Journal	International Journal of Bifurcation and Chaos
Volume	18
Issue number	10
DOIs	https://doi.org/10.1142/S0218127408022287
Publication status	Published - Oct 2008
Externally published	Yes

Keywords

Chaos
Gradient-like
KYP lemma
Synchronous machines

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10.1142/S0218127408022287

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Lu, P., Yang, Y., & Huang, L. (2008). Global dynamic properties of a synchronous machine model. International Journal of Bifurcation and Chaos, 18(10), 3113-3128. https://doi.org/10.1142/S0218127408022287

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abstract = "In this paper, rich global dynamical properties are considered for a fundamental synchronous machine model: from global asymptotic stability of trivial equilibrium to chaotic oscillations. Based on KalmanYakubovichPopov (KYP) lemma, static feedback controller is designed such that the synchronous machine model is global asymptotic stable which guarantees that the existence of limit cycles or chaotic oscillations is impossible.",

keywords = "Chaos, Gradient-like, KYP lemma, Synchronous machines",

author = "Pingli Lu and Ying Yang and Lin Huang",

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AU - Huang, Lin

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AB - In this paper, rich global dynamical properties are considered for a fundamental synchronous machine model: from global asymptotic stability of trivial equilibrium to chaotic oscillations. Based on KalmanYakubovichPopov (KYP) lemma, static feedback controller is designed such that the synchronous machine model is global asymptotic stable which guarantees that the existence of limit cycles or chaotic oscillations is impossible.

KW - Chaos

KW - Gradient-like

KW - KYP lemma

KW - Synchronous machines

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Global dynamic properties of a synchronous machine model

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Keywords

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