Controlling chaos in power system based on finite-time stability theory

Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system. Based on the finite-time stability theory, two control strategies are presented t...

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Bibliographic Details
Published inChinese physics B Vol. 20; no. 12; pp. 101 - 108
Main Author 赵辉 马亚军 刘思佳 高士根 钟丹
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Chaos theory
Computer simulation
Control systems
Coordinate transformations
Dynamical systems
Mathematical analysis
Robustness
Stability
Strategy
安全稳定运行
有限时间
混沌理论
混沌行为
电力系统
稳定性理论
稳定控制
非线性系统
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/20/12/120501

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Summary:Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system. Based on the finite-time stability theory, two control strategies are presented to achieve finite-time chaos control. In addition, the problem of how to stabilize an unstable nonzero equilibrium point in a finite time is solved by coordinate transformation for the first time. Numerical simulations are presented to demonstrate the effectiveness and the robustness of the proposed scheme. The research in this paper may help to maintain the secure operation of power systems.
Bibliography:power system, chaos control, finite-time stability, stabilize unstable nonzero equilibrium point, robust controller
11-5639/O4
Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system. Based on the finite-time stability theory, two control strategies are presented to achieve finite-time chaos control. In addition, the problem of how to stabilize an unstable nonzero equilibrium point in a finite time is solved by coordinate transformation for the first time. Numerical simulations are presented to demonstrate the effectiveness and the robustness of the proposed scheme. The research in this paper may help to maintain the secure operation of power systems.
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SourceType-Scholarly Journals-1
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/20/12/120501