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	Calculation of characteristic invariant manifolds on the boundary of transient stability region in power systems
	Liu Hui ; Min Yong ; Zhang Yi-wei ; Wang Kai-peng ; Chen Lei ; Hou Kai-yuan
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ manifolds partial differential equations power engineering computing power system transient stability/ characteristic invariant manifolds power system transient stability boundary approximation Taylor series expansion partial different equation PDE linear equation symbolic software package WSCC 4-generator 11-bus test system/ B8110C Power system control B0290P Differential equations (numerical analysis) C7410B Power engineering computing C4170 Differential equations (numerical analysis)
中文摘要	The study of credible region plays an important role to assess the valid range of the transient stability approximate boundary. Calculation of characteristic invariant manifolds (CIMs) is one of the major steps in obtaining the credible region of the approximate boundary. The characteristic invariant manifolds are some special low-dimensional invariants on the stability boundary. Their Taylor coefficients can be calculated more rapidly than those of the high-dimensional ones. In the paper, a systematic method is given for computing the coefficients of the Taylor series expansions of the invariant manifolds which are associated with some singular partial different equations (PDEs) by resolving a group of linear equations easily with the aid of a symbolic software package. Theoretically the proposed method is not constrained by the dimension number or the complex modeling of power systems. Calculation and simulation results of the WSCC 4-generator 11-bus test system with classical modeling verify the correctness and efficiency of the theoretical prediction.
语种	中文
出版者	Chinese Society for Electrical Engineering ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/82828]
专题	清华大学
推荐引用方式 GB/T 7714	Liu Hui,Min Yong,Zhang Yi-wei,et al. Calculation of characteristic invariant manifolds on the boundary of transient stability region in power systems[J],2010, 2010.
APA	Liu Hui,Min Yong,Zhang Yi-wei,Wang Kai-peng,Chen Lei,&Hou Kai-yuan.(2010).Calculation of characteristic invariant manifolds on the boundary of transient stability region in power systems..
MLA	Liu Hui,et al."Calculation of characteristic invariant manifolds on the boundary of transient stability region in power systems".(2010).

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