传输线瞬态分析中基于电报方程时-空离散的有效方法

本文对基于电报方程时-空变量同时离散的传输线瞬态分析方法作了重新研究.利用传输线上电压电流的波动传播特性,导出了有效的传输线瞬态分析模型;提出了用Lax-Friedrichs差分格式消除因空间坐标离散化导致的解的寄生振荡的方法;给出了模型在一般电路模拟器中的变步长实现;最后用实例作了验证.通过这些工作说明这一原始而基本的方法事实上可应用于最一般的非均匀频变传输线,并具备目前流行的采用有理逼近的频域方法同等的效率.

An Efficient Transient Analysis Method for General Transmission Lines Based on the Time-Space Discretization of Telegrapher Equations

The simultaneous time space discretization of the telegrapher equations is a primary approach for the transient analysis of transmission lines,which has ever been regarded as brute force,inefficient and of little value in practice.The study presented in this paper gives an opposite conclusion.By the utilization of the wave propagating property of the voltages and currents on the lines,we prove that this approach can be used as efficiently as the prevailing methods employing rational approximation and recursive convolution such as AWE to general dispersive,nonuniform and coupled lossy transmission lines.A technique to eliminate the spurious oscillations resulting from the space discretization of the telegrapher equations is given.Numerical experiments have been performed and the results show that the method is valid and efficient.