Cauer Ladder Network with Constant Basis Functions for Eddy Current Problems Involving Conductor Movement

Abstract

This article proposes a Cauer ladder network with constant basis functions for eddy current problems involving translational movements. The analysis domain is decomposed into two domains: the stator part and the mover part. The Cauer ladder network method is applied to each domain to derive circuit parameters and corresponding basis functions to reconstruct the eddy current and compute the Lorentz force. Interactions between the two domains are modeled by current-controlled voltage sources connected to each stage of the Cauer ladder network. The gains of the current-controlled voltage sources are computed by numerical integration of the vector potential induced by the coil. An analysis of the TEAM Workshop Problem 28 was performed, and the results were validated by comparing them with those obtained by the commercially available software and showed a significant reduction in computational time.