New Developments in Fault Analysis Based on Dynamical Perspective

ABSTRACT

Electric power system essentially belongs to strongly nonlinear complex dynamic system. It has strong coupling and other various dynamic characteristics. In theory, the nonlinear dynamical model associated with complex power system should exist. In this paper, we have discussed two kinds of nonlinear circuits, nonlinear RLC circuit that can be constructed to be Liénard equation model and Chua's circuit. In our research, the superstable periodic parameters of period doubling bifurcations are solved accurately, and it is also the fault characteristic in nonlinear circuits, which may represent the essential attribute of complex electric power system. The research will contribute to solving the blackout problems in real electrical engineering. It is an inevitable request that applying nonlinear dynamical system theory to the research of complex electric power system, which is not only beneficial to the effective solution of power system's own problems, but realizing new breakthroughs in nonlinear dynamical system theory by finding new problems.

KEYWORDS:

• Chua's circuit
• dynamical system
• electrical engineering
• Liénard equation
• Superstable periodic parameter

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported partly by the National Key Basic Research Project [973 Program] of China [2012CB215200], the NSFC [51277193], the Specialized Research Fund for the Doctoral Program of Higher Education (20110036110003), the Fundamental Research Funds for the Central Universities [2014ZD43] and the Natural Science Foundation of Hebei Province.

Notes on contributors

Yi Sun

Yi Sun received her BS degree in department of computer science from North China Electric Power University, Baoding, Hebei Province, China in 2005 and the MS degree in department of electric power engineering from North China Electric Power University, Baoding, Hebei Province, China in 2007. She received the PhD degree from North China Electric Power University, Beijing in 2010. Her current research topics include the power asset life cycle management, complex networks and fault analysis.

E-mail: [email protected]

Yagang Zhang

Yagang Zhang received his BS degree in department of mathematics from Yunnan University, Kunming, Yunnan Province, China in 2001 and the MS degree in center for nonlinear complex systems from Yunnan University, Kunming, Yunnan Province, China in 2004. He received the PhD degree from North China Electric Power University, Beijing in 2011. His current research topics include nonlinear complex system theory, complex networks and relay protection of power system.

E-mail: [email protected]