Cauer ladder network representation of eddy-current fields using the partial element equivalent circuit method

Purpose This study aims to extract a reduced order model based on the Cauer ladder network (CLN) method from a partial element equivalent circuit (PEEC) formulation of the eddy current problem in parallel conductors. The obtained equivalent circuit can then be effectively used for time domain simulations. Design/methodology/approach The PEEC formulation has been written as a first-order linear dynamic system, and the CLN algorithm has been applied to extract the reduced-order model. The numerical results of the reduced order model have been then compared with the reference results obtained both with the finite element method (FEM) and the PEEC method for a canonical test case of two rectangular conductors. Findings The Cauer ladder network representation of the eddy current fields is proved to be accurate enough in frequency and in time domains, provided that a sufficient number of the equivalent circuit stages is considered. Originality/value The CLN method has already been applied in the past to FEM for eddy current problems. In this work, the CLN has been applied to the PEEC method for the first time.