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Singularly perturbed bifurcation subsystem and its application in power systems
Alternative TitleSingularly perturbed bifurcation subsystem and its application in power systems
An Yichun1; Zhang Qingling1; Zhu Yukun2; Yan Zhang1
2008
Source PublicationJOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
ISSN1004-4132
Volume19Issue:4Pages:752-757
AbstractThe 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.
Other AbstractThe 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.
KeywordVOLTAGE COLLAPSE bifurcation subsystem persistence singular perturbation center manifold saddle-node bifurcation Hopf bifurcation
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [Department of Science and Technology of Liaoning Province]
CSCD IDCSCD:3347424
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Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/144587
Collection中国科学院金属研究所
Affiliation1.中国科学院金属研究所
2.AF Command Coll, Beijing 100097, Peoples R China
Recommended Citation
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.
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