An efficient numerical method to solve the non-uniform MTL equation including field coupling

Author

Gebele, O. ; Brüns, H.D.

Author_Institution

Dept. of Theor. Electr. Eng., TU Hamburg-Harburg, Hamburg, Germany

Volume

2

fYear

2003

fDate

18-22 Aug. 2003

Firstpage

648

Abstract

A simple and accurate method to solve the non-uniform multi-conductor transmission line problem is presented. The solution of the telegrapher´s equation for an n-conductor transmission line above ideal conducting ground is given by the solution of 2n+1 initial-value problems, treated by the method of Runge-Kutta. The per-unit-length parameters and distributed current and voltage sources which result from the incident electromagnetic fields are developed in cubical splines. Examples are presented and are compared to full-wave method of moments (MoM) solutions (electric field integral equation).

Keywords

Runge-Kutta methods; electromagnetic coupling; initial value problems; method of moments; transmission line theory; Runge-Kutta method; cubical splines; current source; electric field integral equation; field coupling; ideal conducting ground; incident electromagnetic fields; initial-value problems; method of moments; multiconductor transmission line problem; nonuniform MTL equation; numerical method; per-unit length parameters; telegraphers equation; voltage source; Admittance; Conductors; Couplings; Differential equations; Electromagnetic fields; Multiconductor transmission lines; Symmetric matrices; Transmission line matrix methods; Transmission line theory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Compatibility, 2003 IEEE International Symposium on

Print_ISBN

0-7803-7835-0

Type

conf

DOI

10.1109/ISEMC.2003.1236681

Filename

1236681