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

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

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.

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

Received: 11 January 2011
Revised: 30 June 2011
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Fund: 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).

Cite this article:

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 2011 Chin. Phys. B 20 120501

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