The Solution of the Characteristic Impedance of an Arbitrarily Shaped TEM Transmission Line by Using Complex Variable Boundary Element Method （CVBEM）

Wu Wan-chun Wen Ge-Yi; Liu Xue-guan

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The Solution of the Characteristic Impedance of an Arbitrarily Shaped TEM Transmission Line by Using Complex Variable Boundary Element Method （CVBEM）

更新时间：2025-12-08

- The Solution of the Characteristic Impedance of an Arbitrarily Shaped TEM Transmission Line by Using Complex Variable Boundary Element Method （CVBEM）
- Acta Electronica Sinica Issue 2, Pages: 68-75(1988)
- 作者机构：
  
  西北电讯工程学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：1988
- 稿件说明：
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[1]吴万春,文舸一,刘学观.用复变量边界元法求解任意截面TEM传输线的特性阻抗[J].电子学报,1988(02):68-75.

Wu Wan-chun Wen Ge-Yi, Liu Xue-guan. The Solution of the Characteristic Impedance of an Arbitrarily Shaped TEM Transmission Line by Using Complex Variable Boundary Element Method （CVBEM）[J]. Acta Electronica Sinica, 1988, (2): 68-75.
[1]吴万春,文舸一,刘学观.用复变量边界元法求解任意截面TEM传输线的特性阻抗[J].电子学报,1988(02):68-75. DOI：

Wu Wan-chun Wen Ge-Yi, Liu Xue-guan. The Solution of the Characteristic Impedance of an Arbitrarily Shaped TEM Transmission Line by Using Complex Variable Boundary Element Method （CVBEM）[J]. Acta Electronica Sinica, 1988, (2): 68-75. DOI：

摘要

本文从复变函数论的柯西积分公式出发

导出求解任意截面TEM传输线特性阻抗的复边界元方程。采用复边界元法可以避免实边界元法中的大量数值求积

从而大大缩短计算时间

提离精度。文中最后用常数元和线性元计算几个具体传输线

并给出计算结果。

Abstract

The complex boundary element equation for the solution of the characteristic impedance of an arbitrarily shaped TEM transmission line is deduced in the paper

based on the Cauchy integral theorem for analytical complex variable functions. Using the CVBEM

a large amount of numerical quadrature in real variable boundary element formulations can be avoided

thereby the computaion time is reduced greatly and precision is improved. Finally

the formulae for the constant element method and linear element method are given and some calculating results relating to several typical transmission lines are presented.

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