Efficient Multiport Equivalent Circuit for Skin and Proximity Effect in Parallel Conductors With Arbitrary Cross Sections

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