Bifurcations, chaos, and system collapse in a three node power system

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	Bifurcations, chaos, and system collapse in a three node power system
	Jing, ZJ ; Xu, DS ; Chang, Y ; Chen, LN
	2003-07-01
发表期刊	INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
ISSN	0142-0615
卷号	25 期号:6 页码:443-461
摘要	A model of the three node power system proposed by Rajesh and Padiyar [Electr. Power Energy Syst. 21 (1999) 375] is studied. As the bifurcation parameter P-m (input power to the generator) is changed, the system including the effects of the non-linearity exhibits complex dynamics emerging from static and dynamic bifurcations which link with the system collapse. The analyses for the model exhibit dynamical bifurcations, including three Hopf bifurcations, cyclic fold bifurcations, torus bifurcations and period-doubling bifurcations, and complex dynamical behaviors, including periodic orbits, period-doubling orbits, quasi-periodic orbits, phase-locked phenomena and two chaotic regions between two Hopf bifurcations, i.e. in the 'Hopf window' and intermittency chaos. Moreover, one of the two chaotic regions results from period-doubling bifurcations, and another results from quasi-periodic orbits emerging from a torus bifurcation. Simulations are given to illustrate the various types of dynamic behaviors associated with the power system collapse for the model. In particular, we first shown that the oscillatory transient may play a role in the collapse, and there are different critical points for different dominated state variables. Besides, the hard-limits and increases of the damping factor widen the feasible operating region of the power system, and prevent the torus bifurcation to occur so that some complex dynamical phenomena can be inhibited. (C) 2003 Elsevier Science Ltd. All rights reserved.
关键词	power systems chaos bifurcations hard-limits
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000181713800003
出版者	ELSEVIER SCI 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/18239
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, ZJ
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Mem Univ Newfoundland, Inst Appl Phys & Computat Math, St Johns, NF AIC 557, Canada 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 4.Osaka Sangyo Univ, Dept Elect Engn & Elect, Daito, Osaka 5748530, Japan
推荐引用方式 GB/T 7714	Jing, ZJ,Xu, DS,Chang, Y,et al. Bifurcations, chaos, and system collapse in a three node power system[J]. INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS,2003,25(6):443-461.
APA	Jing, ZJ,Xu, DS,Chang, Y,&Chen, LN.(2003).Bifurcations, chaos, and system collapse in a three node power system.INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS,25(6),443-461.
MLA	Jing, ZJ,et al."Bifurcations, chaos, and system collapse in a three node power system".INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 25.6(2003):443-461.