Quadratic form of stable sub-manifold for power systems

doi:10.1002/tnc.913

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	Quadratic form of stable sub-manifold for power systems
	Cheng, DZ; Ma, J ; Lu, Q ; Mei, SW
	2004-06-01
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	14 期号:9-10 页码:773-788
摘要	The stable sub-manifold of type-1 unstable equilibrium point is fundamental in determining the region of attraction of a stable working point for power systems, because such sub-manifolds form the boundary of the region (IEEE Trans. Automat. Control 1998; 33(1):16-27; IEEE Trans. Circuit Syst. 1988; 35(6): 712-728). The quadratic approximation has been investigated in some recent literatures (Automatica 1997; 33(10):1877-1883; IEEE Trans. Power Syst. 1997; 12(2):797-802). First, the paper reports our recent result: a precise formula is obtained, which provides the unique quadratic approximation with the error of 0(parallel toxparallel to(3)). Then the result is applied to differential-algebraic systems. The real form of practical large scale power systems are of this type. A detailed algorithm is obtained for the quadratic approximation of the stable sub-manifold of type-1 unstable equilibrium points of such systems. Some examples are presented to illustrate the algorithm and the application of the approximation to stability analysis of power systems. Copyright (C) 2004 John Wiley Sons, Ltd.
关键词	power system type-1 equilibrium stable sub-manifold Taylor expansion differential-algebraic equation
DOI	10.1002/tnc.913
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000222227800002
出版者	JOHN WILEY & SONS 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/489
专题	系统科学研究所
通讯作者	Cheng, DZ
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Elect Engn, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Cheng, DZ,Ma, J,Lu, Q,et al. Quadratic form of stable sub-manifold for power systems[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2004,14(9-10):773-788.
APA	Cheng, DZ,Ma, J,Lu, Q,&Mei, SW.(2004).Quadratic form of stable sub-manifold for power systems.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,14(9-10),773-788.
MLA	Cheng, DZ,et al."Quadratic form of stable sub-manifold for power systems".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 14.9-10(2004):773-788.