Model-Order Reduction of the Full-Wave Partial-Element Equivalent-Circuit (PEEC) Method Based on a Modal Approach

Abstract

An alternative and very efficient model-order reduction for the full-wave partial-element equivalent-circuit (PEEC) method is presented. It is based on a frequency-independent eigenvalue problem, which has to be solved once, in order to obtain a set of eigenvalues and eigenvectors, which can be used as global basis and test functions. Utilizing these eigenvalues and eigenvectors, allows to straightforwardly derive a canonical Foster-type modal equivalent circuit. This resulting network representation is stable and describes the full-wave system behavior accurately, while reducing the overall number of unknowns drastically, as compared to the original retarded PEEC equivalent circuit.