Waveform relaxation solution of the ABCD matrices of nonuniform transmission lines for transient analysis

Author

Mao, Jun-Fa ; Li, Zheng-Fan

Author_Institution

Dept. of Electron. Eng., Jiao Tong Univ., Shanghai, China

Volume

13

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

1409

Lastpage

1412

Abstract

In this paper, the transient response of arbitrarily terminated nonuniform transmission lines with frequency-dependent parameters is analyzed by the introduction of ABCD matrices and the waveform relaxation (WR) method. A differential equation describing the ABCD matrices of nonuniform transmission lines is derived and then solved efficiently with the WR method. A convergence theorem is proven, according to which the nonuniform transmission line is segmented into a number of cascaded subnetworks to increase the convergence speed. An example of nonuniform transmission system is analyzed. The results are comparable to that of the convolution-characteristics method

Keywords

convergence of numerical methods; matrix algebra; relaxation theory; transient response; transmission line theory; ABCD matrices; arbitrarily terminated lines; cascaded subnetworks; convergence speed; convergence theorem; differential equation; frequency-dependent parameters; nonuniform transmission lines; transient analysis; transient response; waveform relaxation method; Convergence; Differential equations; Distributed parameter circuits; Frequency; Power system transients; Scattering parameters; Transient analysis; Transmission line matrix methods; Transmission line theory; Voltage;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/43.329269

Filename

329269