Hysteretic magnetic field analysis with Second-Order homogenization

Abstract

A dynamic hysteresis model represented by the Cauer circuit was combined with the finite element analysis to efficiently compute magnetic field in micro-structured iron-cores. A finite element eddy-current analysis with higher order homogenization method is reformulated to implement the Cauer circuit representation. Three types of hysteretic Cauer circuits for the 2nd-order homogenization were examined. The analysis of wounded core under sinusoidal excitation showed that the 2nd order homogenization scheme with finite difference approximation improved the accuracy of representation of iron loss and current-flux loops. The 2nd-order scheme also improved the accuracy of homogenized representation under pulse-width-modulation excitation. The computation time was greatly reduced by the homogenization schemes.