Hybrid DGTD-MTL-MNA method for modelling of transient field coupling into cables

Abstract

This paper presents an accurate and efficient time-domain approach for analyzing the coupling of transient electromagnetic fields into cable systems with arbitrary linear networks at terminations. Some nonlinear elements in termination circuits are also considered. The approach is based on hybridization of three different methods. First, the discontinuous Galerkin time domain (DGTD) method is used for calculating transient electromagnetic fields in a 3D environment. Second, the 1D finite difference time domain method is used to solve the transient response of a cable system. Finally, in order to incorporate circuit network at cable terminations, the equations of modified nodal analysis are integrated into the cable solver. The interaction of the mentioned methods is performed at each time step of calculation. The coupling of fields into cables is implemented without feedback into the field solver, while interaction between cable and circuit solvers is considered as bidirectional. The validation of the proposed hybrid approach is performed by comparisons with the lumped circuit transmission line (LCTL) approach. As an application, we demonstrate the investigation of coupling of transient electromagnetic fields into an LED lighting system located in the vehicle.