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

doi:10.1088/1674-1056/20/12/120501

中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120501-120501.doi: 10.1088/1674-1056/20/12/120501

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

钟丹¹, 高士根², 赵辉³, 马亚军³, 刘思佳³

(1)School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China; (2)School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China; (3)Tianjin Key Laboratory for Control Theory and Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, China

收稿日期:2011-01-11 修回日期:2011-06-30 出版日期:2011-12-15 发布日期:2011-12-15
基金资助:
Project supported by the National High Technology Research and Development Program of China (Grant No. 2007AA041401), Tianjin Natural Science Foundation, China (Grant Nos. 08JCZDJC18600 and 09JCZDJC23900), and the University Science and Technology Development Foundation of Tianjin City, China (Grant No. 2006ZD32).

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

Zhao Hui(赵辉)^a), Ma Ya-Jun(马亚军)^a)†, Liu Si-Jia(刘思佳)^a), Gao Shi-Gen(高士根)^b), and Zhong Dan(钟丹)^c)

^a Tianjin Key Laboratory for Control Theory and Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, China; ^b School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China; ^c School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

Received:2011-01-11 Revised:2011-06-30 Online:2011-12-15 Published:2011-12-15
Supported by:
Project supported by the National High Technology Research and Development Program of China (Grant No. 2007AA041401), Tianjin Natural Science Foundation, China (Grant Nos. 08JCZDJC18600 and 09JCZDJC23900), and the University Science and Technology Development Foundation of Tianjin City, China (Grant No. 2006ZD32).

摘要/Abstract

摘要： 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.

关键词: power system, chaos control, finite-time stability, stabilize unstable nonzero equilibrium point, robust controller

Abstract: 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.

Key words: power system, chaos control, finite-time stability, stabilize unstable nonzero equilibrium point, robust controller

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

赵辉, 马亚军, 刘思佳, 高士根, 钟丹. Controlling chaos in power system based on finite-time stability theory[J]. 中国物理B, 2011, 20(12): 120501-120501.

Zhao Hui(赵辉), Ma Ya-Jun(马亚军), Liu Si-Jia(刘思佳), Gao Shi-Gen(高士根), and Zhong Dan(钟丹) . Controlling chaos in power system based on finite-time stability theory[J]. Chin. Phys. B, 2011, 20(12): 120501-120501.

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

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

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