Title :
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
fDate :
11/1/1994 12:00:00 AM
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;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
