Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

doi:10.1088/1674-1056/23/9/094501

Abstract Hopf bifurcation and chaos of a nonlinear electromechanical coupling relative rotation system are studied in this paper. Considering the energy in air-gap field of AC motor, the dynamical equation of nonlinear electromechanical coupling relative rotation system is deduced by using the dissipation Lagrange equation. Choosing the electromagnetic stiffness as a bifurcation parameter, the necessary and sufficient conditions of Hopf bifurcation are given, and the bifurcation characteristics are studied. The mechanism and conditions of system parameters for chaotic motions are investigated rigorously based on the Silnikov method, and the homoclinic orbit is found by using the undetermined coefficient method. Therefore, Smale horseshoe chaos occurs when electromagnetic stiffness changes. Numerical simulations are also given, which confirm the analytical results.

Keywords: relative rotation electromechanical coupling Hopf bifurcation chaos

Received: 16 January 2014
Revised: 25 February 2014
Accepted manuscript online:

PACS:	45.20.dc	(Rotational dynamics)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61104040) and the Natural Science Foundation of Hebei Province, China (Grant No. E2012203090).

Corresponding Authors: Zhang Wen-Ming
E-mail: hudiezhaoshuang@163.com

Cite this article:

Liu Shuang (刘爽), Zhao Shuang-Shuang (赵双双), Sun Bao-Ping (孙宝平), Zhang Wen-Ming (张文明) Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system 2014 Chin. Phys. B 23 094501

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Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

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