Analysis of Lossy Transmission Lines with Arbitrary Nonlinear Terminal Networks

TLDR

The paper introduces a novel method for transient analysis of lossy transmission lines with arbitrary nonlinear terminal networks. The method constructs short‑duration time‑domain Green’s functions for multiport transmission‑line systems terminated in quasi‑matched loads, then convolves these functions with line‑port voltages, and is illustrated with a multiconductor example. The approach requires only modest frequency‑domain data and enables analysis of multiconductor transmission lines with arbitrary nonlinear loads—including memory—by providing instantaneous Thévenin equivalents of the linear portion.

Abstract

A novel method for transient analysis of Iossy transmission lines with arbitrary nonlinear terminal networks is presented. The uniqueness of this approach is that we develop time-domain Green's functions for the multiport transmission-line systems by terminating the ports in quasi-matched loads. This ensures Green's functions of a short duration. Hence, the amount of frequency-domain data necessary to obtain time-domain Green's functions is modest. These Green's functions are then convolved with the line port voltages. With this technique one can analyze responses of multiconductor transmission lines with arbitrary nonlinear loads (even with memory) as we have at any instant of time Thévenin's equivalent of the linear portion of the system. An example is presented to illustrate the application of this technique to multiconductor nonlinearly loaded transmission lines.