换路定律的延拓

The Development of Switching Law

传统的换路定律要求电容端电压和电感中电流为有限值。本文基于电路发生换路前后瞬间电荷与磁通守恒原理,导出了与传统不同的方法来确定换路后电路的初始条件。该方法的主要点在于对电路中出现冲激变量的有效处理能力,在有限电荷和磁通的假设下,将原电路分解成不同的子电路并分别计算,从而得到最后的解。此方法同时适用于线性与非线性电路。

Traditionally, the voltage across a capacitor cannot change instantaneously, as long as the current through it is finite. Through duality, the current through an inductor is as true. In this paper, a completely different method based on charge and flux conservation at the switching instants for obtaining the initial conditions after switching is presented. The main point of the method is a power that deals with the circuits even if the voltage or current in the circuit become impulse due to switching. The treatment is exclusively in the time domain and hence is applicable to nonlear circuits with linear circuits as a subset.