确定非线性电路唯一稳态的λ参数法  

The Study of the Uniqueness of the Steady State of the Nonlinear Circuits by Using λ-Coefficient Method

作　　者：粟时平[1] 冯平[2] 马士英[1] 

机构地区：[1]长沙电力学院电力工程系,湖南长沙410077 [2]解放军后勤工程学院电工教研室,重庆400016

出　　处：《长沙电力学院学报（自然科学版）》2002年第3期33-36,共4页JOurnal of Changsha University of electric Power:Natural Science

基　　金：湖南省自然科学基金项目 (0 1JJY3 0 2 3 )

摘　　要：以元件成份关系斜率变化区间对应的常数矩阵为基础 ,通过引入一个参变量λ构造出多个新的矩阵 .通过对这些包含参变量λ的矩阵的分析 ,从而确定原电路的唯一稳态 .本文的结果对电路元件的约束 ,仅要求其成份关系斜率有界即可 .这大大放松了目前已有的经典结果中要求电路元件斜率为正的限制 。Based on the constant matrixes composed of the constant intervals of the slopes of the elements' constitutive relations, a coefficient λ is introduced to construct several new matrixes relative to this coefficient.And the uniqueness of the steady state of the nonlinear nonautonomous circuits is decided by the analysis of those matrixes.By means of this method, criterions to the unique steady state of the nonlinear nonautonomous circuits is obtained. The restriction to the elements of circuits is just the slope of the constitutive relation is bounded, which is much looser than the demands put forward by previously published papers. The new criterions in this paper have much wider applicable range than the results already known.

关 键 词：非线性电路 唯一稳态 Λ参数法 矩阵分析 电路元件 成份关系斜率 

分 类 号：TM132[电气工程—电工理论与新技术]