Singularly perturbed bifurcation subsystem and its application in power systems

IMR OpenIR

	Singularly perturbed bifurcation subsystem and its application in power systems
其他题名	Singularly perturbed bifurcation subsystem and its application in power systems
	An Yichun 1; Zhang Qingling 1; Zhu Yukun 2; Yan Zhang 1
	2008
发表期刊	JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
ISSN	1004-4132
卷号	19 期号:4 页码:752-757
摘要	The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system.
其他摘要	The singularly perturbed bifurcation subsystem is described, and the test conditions of subsystem persistence are deduced. By use of fast and slow reduced subsystem model, the result does not require performing nonlinear transformation. Moreover, it is shown and proved that the persistence of the periodic orbits for Hopf bifurcation in the reduced model through center manifold. Van der Pol oscillator circuit is given to illustrate the persistence of bifurcation subsystems with the full dynamic system.
关键词	VOLTAGE COLLAPSE bifurcation subsystem persistence singular perturbation center manifold saddle-node bifurcation Hopf bifurcation
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Department of Science and Technology of Liaoning Province]
CSCD记录号	CSCD:3347424
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/144587
专题	中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.AF Command Coll, Beijing 100097, Peoples R China
推荐引用方式 GB/T 7714	An Yichun,Zhang Qingling,Zhu Yukun,et al. Singularly perturbed bifurcation subsystem and its application in power systems[J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS,2008,19(4):752-757.
APA	An Yichun,Zhang Qingling,Zhu Yukun,&Yan Zhang.(2008).Singularly perturbed bifurcation subsystem and its application in power systems.JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS,19(4),752-757.
MLA	An Yichun,et al."Singularly perturbed bifurcation subsystem and its application in power systems".JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS 19.4(2008):752-757.