摘要
多机电力系统低频振荡中出现的Hopf分歧,或称之为非线性振荡,是以往低频振荡研究领域中所未接触的新问题,分析的主要工作是求解系统出现这种非线性振荡时的曲率系数。该文利用复变量构建的一维中心子空间和数值法求出了曲率系数,解决了以往算法只能用于简单系统而不适于多机电力系统的问题。成功地完成了多机电力系统非线性振荡的分析,获得了一些新见解,新观点。为研究发生在多机电力系统中的这种非线性奇异现象提供了一个有效的工具。
Nonlinear oscillation, or called as Hopfbifurcation, is a new problem encountered in the study of low frequency oscillation in a multimachine system. The focus of this study is to figure out the curvature coefficient during this king of oscillation. Some methods which have been applied to the area are only suitable for simple systems with lowdimension. So they can not been used in practicalmultimachine power systems. An effective algorithm ispresented to solve the curvature coefficient by means ofone-dimension center subspace constructed by complexvariable and numrecal differentiation in this paper. Hencenonlinear oscillation in multimachine power systems isanalyzed. Some new viewpoints are obtained and a powerful tool is provided to analyze the nonlinear singularityphenomenon in multimachine power systems.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第10期67-70,共4页
Proceedings of the CSEE
关键词
多机电力系统
非线性振荡
数值微分
曲率系数
multimachine power systems
numericaldifferentiation
curvature coefficient
nonlinear oscillation
bifurcation
