用单位阶跃函数研究分段线性电阻网络

The Study of Piecewise-Linearization Resistive Networks Using Unit Step-Function

本文用单位阶跃函数研究分段线性化电阻网络，其主要贡献是：①用单位阶跃函数表示分段线性化电阻的V－I特性；②给出了含有单位队跃函数的待解方程；③给出了分段线性化串联网络的计算公式；④提出了适合于分析大规模分段线性化电阻网络的并行算法──直接迭代法。

This paper deals primarily with the study of piecewise － linearization resistive networks using unit － step － function. It's main contributions are: 1. using unitstep － function to express the V － I characteristics of piecewise － linear resistive; 2. giving out matrix equations to be solved which contain unit step － function; 3. presentingformulas from calculating series network with piecewise － linear resistive; 4. proposing aparallel algorithm － direct iteration method, adapting to large － scale piecewise － linearresistive networks. For illustration, an example is given. The conclusions derived fromthis paper are of practicaI value to CAA of large － scale nonlinear resistive network