On time-domain simulation of lossless transmission lines with nonlinear terminations

被引：41

作者：

Jiang, YL ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Sch Sci, Inst Informat & Syst Sci, Xian 710049, Shaanxi, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2004年 / 42卷 / 03期

关键词：

nonlinear circuits; transmission lines; differential-algebraic equations with multiple delays; waveform relaxation; circuit simulation;

D O I：

10.1137/S0036142902418886

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A time-domain approach is presented to solve nonlinear circuits with lossless transmission lines. Mathematically, the circuits are described by a special kind of nonlinear differential-algebraic equations (DAEs) with multiple constant delays. In order to directly compute these delay systems in time-domain, decoupling by waveform relaxation (WR) is applied to the systems. For the relaxation-based method we provide a new convergence proof. Numerical experiments are given to illustrate the novel approach.

引用

页码：1018 / 1031

页数：14

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