用网络拓扑和三次样条插值法计算复杂的非线性电阻网络

Calculation of Complicated Nonlinear Resistive Networks by Application of Network Topology and Cubic Spline Method

本文是应用网络拓扑和三次样条插值法计算复杂的非线性电阻网络。在此网络中,不但存在许多非线性电阻元件,而且同时存在四种类型的受控源,即VCVS,CCVS,VCCS和CCCS。这些非线性电阻元件的V-1特性不能用确切的函数描述,仅为给定的特性曲线。应用本方法能解决用其他的计算方法很难解决,甚至无法解决的非线性电阻网络的问题。

This paper puts forward the use of network topology and cubic spline method to calculate the complicated nonlinear resistive networks, in which not only many nonlinear resistors coexist, but also do the controlled sources in four categoies, i. e., VCVS. CCVS, VCCS and CCCS, when the V-I characteristics of the nonlinear resistors can't be described by the definite functions, but are merely given as V-I characteristic curves. Using this method we can solve the nonlinear resistive network problems that are too difficult to solve, or even unsolvable by othermethods.