求解开关网络初始值的积分结点方程法

在含有理想开关的网络中有可能出现不一致初始条件及冲激函数的现象，这给电路的数值分析带来困难。本文提出了一种简单而又精确的CAD方法，该方法采用积分形式的结点方程，经对各系数矩阵进行基本行运算后，首先求出电路中所有量的最高阶冲激量，然后通过回代，通逐步求出其他阶冲激量及电路的0初始值。由于该方法不存在任何极限近似问题（数值拉普拉斯反变换法，反向差分法，非线性开关模型法等），因而它是一种精确计算方法。实例分析表明，该方法可获得非常高的精度。

A Novel Approach for Initial Value Determination of Switched Networks with Integral Nodal Equation

Inconsistent initial conditions and impulses can appear in networks with ideal switches, which can not easily be found for numerical simulation. This paper presents a simple and accurate CAD method of integral nodal equations. Firstly by making elementary row operations to matrixes, the highest order impuls of variables can be found, secondly , the lower order impulses and 0+ initial values can be determined in backward substitution. Since any approximations, such as numerical Laplace inversion, backward differentiation formula, nonlinear model of switch, do not exist, the new algorithms are accurate. Example simulations demonstrate that this algorithm can give very high precision.