Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system

doi:10.1109/TCSI.2002.802348

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	Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system
	Jing, ZJ ; Wang, JL ; Chen, LN
	2002-09-01
发表期刊	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN	1057-7122
卷号	49 期号:9 页码:1360-1370
摘要	This brief reviews and elaborates a frequency domain approximate method of estimating amplitude, frequency, and stability of the limit cycle near Hopf bifurcations. A new iterative method and new criterion for ascertaining stability are presented. The method and criterion are applied to a 3-bus dynamic power system model to give the amplitude, frequency and stability at its Hopf bifurcations. New analytic formulas for bifurcation curves are derived by using analytic method, some new saddle-node bifurcation at low voltage levels are found on the formulas. The influence of rotor inertia on the Hopf bifurcation is also studied.
关键词	amplitude and frequency of limit cycle higher order harmonic balance Hopf bifurcation saddle-node bifurcation stability
DOI	10.1109/TCSI.2002.802348
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000178056100012
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17715
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.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Tsing Hua Univ, Beijing 100084, Peoples R China 4.Osaka Sangyo Univ, Osaka 5748530, Japan
推荐引用方式 GB/T 7714	Jing, ZJ,Wang, JL,Chen, LN. Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS,2002,49(9):1360-1370.
APA	Jing, ZJ,Wang, JL,&Chen, LN.(2002).Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS,49(9),1360-1370.
MLA	Jing, ZJ,et al."Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS 49.9(2002):1360-1370.