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	Calculation of two-dimensional characteristic invariant manifolds on the boundary of transient stability region in power system
	Liu Hui ; Min Yong
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ Jacobian matrices partial differential equations polynomials power system transient stability series (mathematics)/ two-dimensional characteristic invariant manifold power system transient stability region partial differential equation Jacobian matrix linear transform WSCC 4-machine 11-bus test system high-order Taylor series expansion polynomial/ B8110C Power system control B0210 Algebra
中文摘要	The study of credible region plays an important role in the assessment of valid range of the approximate transient stability boundary for power system and the characteristic invariant manifolds(CIMs) is an important means for the calculation of credible region. Due to the singularity of related partial differential equations, the corresponding two-dimensional CIMs under classical power system model cannot be solved. The authors analyze the reason causing the singularity, that is, the Jacobian matrix of the dimension-reduction system corresponding to power system classical model possesses real characteristic roots. Thus, an approach to eliminate the singularity of partial differential equations, which exchanges the sequence of original equations and their state variables by linear transform, is proposed. Taking WSCC 4-machine 11-bus test system for example, the coefficients of the terms in high-order Taylor series expansion polynomial of two-dimensional CIMs are calculated successfully. Simulation results validate the effectiveness of the proposed method.
语种	中文
出版者	Electric Power Research Institute ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/82453]
专题	清华大学
推荐引用方式 GB/T 7714	Liu Hui,Min Yong. Calculation of two-dimensional characteristic invariant manifolds on the boundary of transient stability region in power system[J],2010, 2010.
APA	Liu Hui,&Min Yong.(2010).Calculation of two-dimensional characteristic invariant manifolds on the boundary of transient stability region in power system..
MLA	Liu Hui,et al."Calculation of two-dimensional characteristic invariant manifolds on the boundary of transient stability region in power system".(2010).

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