Title: Stabilisation of chaotic power system based on LaSalle invariable principle

Authors: Hui Zhao; Yajun Ma; Sijia Liu; Dan Zhong

Addresses: Tianjin Key Laboratory for Control Theory & Applications in Complicated System, Tianjin University of Technology, 300384 Tianjin, China ' Tianjin Key Laboratory for Control Theory & Applications in Complicated System, Tianjin University of Technology, 300384 Tianjin, China ' Tianjin Key Laboratory for Control Theory & Applications in Complicated System, Tianjin University of Technology, 300384 Tianjin, China ' Department of Electrical Engineering and Automation, Tianjin University, 300072 Tianjin, China

Abstract: Recent investigations have shown that power system is a highly nonlinear system, bifurcations occur and can exhibit chaotic behaviours leading to a voltage collapse which severely threaten the secure and stable operation of the power system. To control the undesirable chaos in power system, a novel adaptive controller is proposed based on LaSalle invariable principle, which can asymptotically stabilise an unstable power system to equilibrium points. In comparison with previous methods, this control scheme does not require analytical knowledge of the power system’s dynamics, and it operates without any explicit knowledge of the desired steady-state position. Numerical simulations are presented to demonstrate the effectiveness and robustness of the proposed controller. The obtained results of this paper may help to maintain the power system’s security operation.

Keywords: power systems; chaos control; adaptive control; LaSalle invariance principle; robustness; chaotic behaviour; voltage collapse; power security.

DOI: 10.1504/IJAAC.2011.042856

International Journal of Automation and Control, 2011 Vol.5 No.3, pp.254 - 266

Received: 09 Mar 2011
Accepted: 06 Aug 2011
Published online: 17 Apr 2015 *

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