Convergence-Accelerated Foster-Type Network Model for Skin and Proximity Effect in Arbitrarily Shaped Parallel Conductors

Abstract

A broadband Foster-type circuit model for skin and proximity effects in arbitrarily shaped parallel conductors is presented. Based on a quasistatic partial element equivalent circuit approach a modal multiport circuit is derived with minimal computational effort, offering fast convergence and inherent stability for time-domain simulations with arbitrary active/passive non-linear loads. The model order can be estimated rigorously for a given frequency range. The proposed model is validated in the frequency and time domain.