Fast electromagnetic interference analysis of distributed networks using longitudinal partitioning based waveform relaxation

In this paper, a waveform relaxation algorithm for the fast electromagnetic interference analysis of distributed transmission line networks is presented. The proposed work models lossy transmission lines as a cascade of lumped circuit elements and lossless line segments, where the incident field coupling with the network is represented as lumped sources connected to each lossless line segment. A longitudinal partitioning methodology which ensures that the resultant subcircuits are weakly coupled using delayed linear equations is presented, thereby leading to fast convergence of the waveform relaxation iterations. A numerical example is provided to demonstrate the validity of the proposed algorithm.