规范化分段线性化电阻网络多解的实用算法

本文采用虚区域的概念和解曲线的基本性质,提出了求规范化分段线性化电阻钢络多解的实用算法。它的特点是整个求解过程没有重复无效的迭代步骤,不论网络有多少个解,求出全部解的总迭代步骤数仅取决于定义域Rn由超平面分割而成的区域总数。它所依据的概念简单,易编程序,在一般微机上能解多个非线性元件的网络,比较实用。

A PRACTICAL ALGORITHM FOR MULTIPLE SOLUTIONS OF CANONICAL PIECEWISE-LINEAR RESISTIVE NETWORKS

With the help of the concept of virtual regions and the character of solution curve, a practical algorithm is presented for finding the multiple solutions of DC canonical piecewise-linear resistive networks. The advantage of this algorithm is that there is no re-peatedly noneffective iterative procedure throughout the complete operation. Regardless of how many solutions being in the network, the total number of iterative steps is only dependent on the number of the regions made up of the hyperplanes in the Rn. This algorithm is simple in concept and easy in programing. It can be used to find all solutions of piecewise-linear resistive netvvorks with a common microcomputer.