Macroscopic Modeling of Mn–Zn Ferrites Based on Analytical Dynamic Material Models

We propose a semi-analytical approach for modeling the macroscopic electromagnetic behavior of Mn–Zn ferrite cores under both dielectric and magnetic excitations. First, analytical material models are provided for calculating the effective parameters, i.e., complex resistivity and complex reluctivity by solving the electromagnetic fields in a single simplified grain and its boundary layer. The effective parameters are then used in 2-D axisymmetric finite-element (FE) models for solving the full-wave electromagnetic field equation in a cross section of a ferrite core under both dielectric and magnetic excitations. The simulated dielectric and magnetic impedances of a ferrite core are validated against measurements.