A methodology to simulate the electromagnetic behavior of printed circuit boards including magnetic materials

This paper presents a methodology to simulate the high frequency electromagnetic behavior of Printed Circuit Boards (PCBs) including magnetic materials. The modeling accounts for displacement and eddy currents. The magnetic hysteresis is efficiently represented by a complex permeability model. The problem is considered as unbounded, bi-dimensional, axisymmetric. A combined Finite Element (FE) and Strategic Dual Image (SDI) method is used to compute the electric and magnetic fields. A comparative study of two PCBs examples, one including a MnZn ferrite film, is investigated and some features as the magnetic flux distributions and the derived equivalent electric circuits are discussed