Time-domain descriptor models for circuits with multiconductor transmission lines and lumped elements

Abstract

We suggest a method to investigate impulse circuits with multiconductor transmission lines in time domain. The transmission lines are connected by a multi-port with linear and nonlinear lumped LCR-elements. In the general case, transient states in these circuits are described by degenerate or descriptor delay nonlinear integro-differential equations. We develop theory of such equations and numerical methods to find solutions.