Complex dynamics in a permanent-magnet synchronous motor model

doi:10.1016/j.chaos.2004.02.054

CSpace

	Complex dynamics in a permanent-magnet synchronous motor model
	Jing, ZJ ; Yu, C ; Chen, GR
	2004-11-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	22 期号:4 页码:831-848
摘要	This paper characterizes the complex dynamics of the permanent-magnet synchronous motor (PMSM) model with a non-smooth-air-gap, extending the work on the smooth case studied elsewhere. The stability, the number of equilibrium points, and the pitchfork and Hopf bifurcations are analyzed by using bifurcation theory and the center manifold theorem. Numerical simulations not only confirm the theoretical analysis results but also show some more new results including the period-doubling bifurcation, cyclic fold bifurcation, single-scroll and double-scroll chaotic attractors, ribbon-chaotic attractor, as well as intermittent chaos that are different from those reported in the literature before. Moreover, analytical expressions of an approximate stability boundary are given, by computing the local quadratic approximation of the two-dimensional stable manifold at an order-2 saddle point. Combining the existing results with the new results reported in this paper, a fairly complete description of the complex dynamics of the PMSM model is now obtained. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2004.02.054
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000223243700010
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/846
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GR
作者单位	1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 2.Hunan Natl Univ, Dept Math, Changsha 410081, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Jing, ZJ,Yu, C,Chen, GR. Complex dynamics in a permanent-magnet synchronous motor model[J]. CHAOS SOLITONS & FRACTALS,2004,22(4):831-848.
APA	Jing, ZJ,Yu, C,&Chen, GR.(2004).Complex dynamics in a permanent-magnet synchronous motor model.CHAOS SOLITONS & FRACTALS,22(4),831-848.
MLA	Jing, ZJ,et al."Complex dynamics in a permanent-magnet synchronous motor model".CHAOS SOLITONS & FRACTALS 22.4(2004):831-848.