摘要
首先介绍摄动法的基本概念，然后阐述三种主要的奇异摄动法，最后介绍其中的渐近展开匹配法、ＫＢ平均法及戴世强教授提出的推广的ＫＢ方法和改进的ＫＢＭ方法在现代电力系统非线性控制、非线性谐振分析及电机工程强非线性振动的研究中的应用．以此展示出振动法在电力系统研究中的应用潜力．
First of all, some basic concepts of perturbation method are introduced. And then,three main singular perturbation methods are elaborated. Lastly, some applications of the method of matched asymptotic expansions, the method of KB average, and the generalized KB method and the modified KBM method proposed by Dai Shiqiang in nonlinear control,analysis of nonlinear resonance, and the investigation of strongly nonlinear oscillations in electrical engineering of modem power systems are presented. In this way, the great application potentiality of perturbation method in power systems is showed.
基金
电力部高校青年学术基金
关键词
奇异摄动法
非线性控制
电力系统
perturbation method, segular perturbation methods, the method of matched asymptotic expansions, the method of KB average, generalized KB method, modified KBM method
nonlinear control, analysis of nonlinear resonance
strongly nonlinear oscillation
