线性非时变电路的冲激函数匹配解法

Matching Solution to the Pulse Function of Linear None-time Modification of Electric Circuit

本文指出了线性非时变电路常规解的复杂性。通过引入冲激函数的匹配原理,非常便捷的解出了此种电路的参数响应,同时总结出线性非时变电路只要满足:电路是线性非时变的状态转换;电路中没有冲激电流(或阶跃电压)的强迫作用于电容或电感;电路要用微分方程表示,其右端要含有δ(t)及其各阶导数;换路期间电容两端的电压和流过电感中电流不会发生突变,就可以利用此方法来使问题获得方便迅速的解决。

The normal solution to the linear none-time modification of electric circuit is quite complicated. The introduction of matching principle of pulse function can simplify the solution to the parameter response of this circuit. The simplified solution can be obtained under the following conditions: 1. The circuit is in the shifting state of linear non-time modification. 2. There is no forced function of pulse current on capacitance or inductance. 3. The circuit is expressed with differential equation with δ(t) and different class of derivatives on the right. 4. During the shifting, the volt on the ends of capacitance and the current flowing through inductance will not change suddenly.