网络冲激变量的映射法

Transformation of Network Impulse Variables

基于电磁物理定义,电流与电荷和电压与磁通的关系,导出了解决线性与非线性网络中出现不连续或冲激函数时变量值的计算方法。与传统的方法不同,该方法的要点在于冲激变量的有效处理能力,提出了将V-I时域变量映射到Δq-ΔΦ平面上,讨论了电路元件特性的定义,网络模型的建立以及网络的分析和计算。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,尤其适用于开关网络、电力电子等含有电子开关的强非线性网络的分析和计算机模拟。

In the paper, a new method based on the electromagnetic with the relations of current and charge or voltage and flux is presented for the solutions of linear and nonlinear networks, in which network variables would be not continuous or impulse. With deference of traditional methods, Em- phasis is placed on the ability to deal with impulse variables, so that network variables are trans- formed to △q-△Φ planar system from V--I planar system in the time domain. And also it is discussed that original network would be changed into three sub--circuits and calculated respectively under the conditions that values of charge .and flux are limited. The method is useful in the linear and nonlinear networks, it is best suited to switched networks,power electronics and computer simulations.