Transient analysis of lossy parabolic transmission lines with nonlinear loads

The exact analytical expressions of the time-domain step response matrix parameters for the lossy parabolic transmission line are developed, therefore extending the range of problems where Allen's method can be applied for the transient analysis of networks consisting of interconnections of linear distributed elements, lumped linear and/or nonlinear elements, and arbitrary sources. For completeness, similar expressions are derived for the lossless parabolic line. In order to demonstrate the versatility of the techniques presented in this paper, we study the transient response of a lossy parabolic line subjected to the following sets of boundary conditions: 1) a unit step input and a linear load, and 2) a trapezoidal pulse generator and a nonlinear load. >

[1]  J. L. Allen.  Time-Domain Analysis of Lumped-Distributed Networks , 1979 .

[2]  M. Silverberg,et al.  Time domain computer solutions for networks containing lumped nonlinear elements , 1968 .

[3]  J.-J. Max,et al.  Step response of lossless parabolic transmission line , 1983 .

[4]  V. Dvorak,et al.  Transient analysis of nonuniform transmission lines , 1970 .

[5]  L. Chua.  Analysis and Synthesis of Multivalued Memoryless Nonlinear Networks , 1967, IEEE Transactions on Circuit Theory.

[6]  E.M. Williams,et al.  Pulse Transients in Exponential Transmission Lines , 1950, Proceedings of the IRE.

[7]  H. Curtins,et al.  Step Response of Lossless Nonuniform Transmission Lines with Power-Law Characteristic Impedance Function (Short Paper) , 1985 .

[8]  J. L. Hill,et al.  Transient Analysis of Systems with Exponential Transmission Lines , 1977 .

[9]  Fung-Yuel Chang,et al.  Waveform relaxation analysis of nonuniform lossy transmission lines characterized with frequency-dependent parameters , 1991 .

[10]  V. Dvorak.  Computer simulation of signal propagation through a nonuniform transmission line , 1973 .

[11]  Jose E. Schutt-Aine.  Transient analysis of nonuniform transmission lines , 1992 .

[12]  R. Mittra,et al.  Scattering parameter transient analysis of transmission lines loaded with nonlinear terminations , 1988 .

[13]  P. Bouchard,et al.  Transients on lossless exponential transmission lines using Allen's method , 1993 .

[14]  C.-W. Hsue.  Time-domain scattering parameters of an exponential transmission line , 1991 .

[15]  C. D. Hechtman,et al.  Transient analysis of nonuniform, high-pass transmission lines , 1990 .