Nonlinear Homogenization Technique for Saturable Soft Magnetic Composites

This paper presents a mathematical homogenization technique able to handle fine periodic structures in presence of magnetic saturable/hysteretic media. The modeling approach, based on the multiple scale expansion theory, enables the evaluation both of equivalent electric parameters and effective magnetization curves (or hysteresis loops). The results of the homogenization technique are validated by comparison with those provided by a standard finite element solution of a two-dimensional current driven problem defined on the heterogeneous domain.