具有滞环的非线性非自治电路唯一稳态研究  

On the Unique Steady State of the Circuits With Hysteresis Loop Elements

作　　者：冯平[1] 

机构地区：[1]解放军后勤工程学院电工教研室,重庆400016

出　　处：《石油化工高等学校学报》2001年第1期68-71,共4页Journal of Petrochemical Universities

摘　　要：目前已有的研究结果表明 ,如果电路中元件的成分关系是单值的并且是严格递增的 (即斜率为正 ) ,则对于不同的电路可以得到不同的保证电路具有唯一稳态的条件。然而对于电路元件为多值函数 (例如含滞环 )的情况 ,目前还没有相应的结果。采用一种新的方法 ,即向量比较法 ,建立了确定具有滞环的非线性非自治电路唯一稳态的条件。结果表明 ,具有滞环的非线性非自治电路的唯一稳态 ,可以用一个常数矩阵的Hurwitz条件来决定。这一结果适用于含有任意个滞环元件的非线性非自治电路。通过算例验证 ,表明本文的理论预测是正确的。The results already known show that if the constitutive relations of the elements included in the circuits are strictly increasing and one to one mapping (single value), then the circuits will have unique steady state under certain conditions. However the multivalue elements, for example, the elements with hysteresis loops, no results have been gained to decide the unique steady state of such circuits. A new method, vector comparison method, is introduced to determine the uniqueness of the steady state of the nonlinear non-autonomous circuits with hysteresis elements. The results obtained in this paper show that the unique steady state of those kinds of nonlinear circuits can be verified by the Hurwitz conditions of some constant matrixes. And those gained results are valid for the circuits with any degrees. The results of numerical calculation given in this paper shows that the theoretical conclusions are correct.

关 键 词：滞环 非线性电路 唯一稳态 多值系统 非自治电路 

分 类 号：TM132[电气工程—电工理论与新技术]