用网络图论、三次样条插值和撕裂法计算非线性电阻网络

Calculation of Nonlinear Resistive Networks by Application of Network Graph Theory, Cubic Spline Method and Diakoptics

用网络图论系统地建立非线性网络方程，用三次样条插值函数描述非线性特性曲线．因此，计算网络时，对非线性特性曲线不必分段线性化．若网络可以撕裂，介绍了如何建立和求解撕裂后的非线性网络矩阵方程．

This paper puts forward the use of network graph theory to form the equations of nonlinear resistive networks systematically; the use of cubic spline method to describe the nonlinear characteristic curves. Therefore, when we calculate the networks, the piece-wise-linear is not used. The paper also discusses how to form and solve the matrix equations of the torn nonlinear networks if the networks can be torn.