非线性时变互感的瞬态电路模型

基于电路理论和数值积分的原理，导出了非线性时变互感关于Ｂａｃｋｗａｒｄ Ｅｕｌｅｒ和Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ算法的瞬态电路模型，将文献［１］中提出的非线性时变ＲＬＣ电路瞬态分析的方法推广到含非线性时变互感的情况，使非线性时变ＲＬＣＭ电路的瞬态分析简化为若干线性时不变电阻性电路的直流分析。

Transient Circuit Model for Nonlinear Time Varying Mutual Inductance

The transient circuit model associated with Backward Euler and Newton Raphson algorithms for nonlinear time varying mutual inductance is derived, based on the fundamentals of circuit theory and numerical integration algorithm.The method presented in reference has been extended to the circuits containing nonlinear time varying mutual inductance.The transient analysis of a nonlinear time varying RLCM circuit is reduced to a series of the DC analysis of linear time invariant resistive circuits.