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 excpansion theory, enables the evaluation both of equivalent electric parameters and effective magnetizations curves (or hysteresis loops). The result of the homogenization technique are validated by camparison with those provided by a standard finite elòement solution of a two-dimensional current driven problem defined on the hetherogeneous domain.