Fully time-domain simulation of multiconductor transmission line systems: Implicit Wendroff and Euler methods within modified nodal analysis

Abstract

The paper deals with a fully time-domain method for the simulation of hybrid systems containing multiconductor transmission lines (MTL) and lumped-parameter elements. The core of the method is in a connection of the implicit Wendroff method to describe the MTLs' telegraphic equations and the modified nodal analysis (MNA) to incorporate their boundary conditions. The utilization of the MNA approach ensures a high universality and covers arbitrarily complex systems on principle. The solution of resultant MNA differential algebraic equations (DAE) is based on the backward Euler method. The computer simulations have been performed in the Matlab language, based on a sparse-matrix technique to save the RAM and CPU time.