Resistivity Model for Soft Magnetic Composite Materials with Cauer Network Expansion

A Cauer network -like resistivity model is proposed for soft magnetic composite materials. The model is immediately available in both time- and frequency domains. The network components are expressed as closed form analytical expressions. The component values and thus the resistivity depend explicitly on the physical and geometric properties of the material, and no empirical fitting parameters are introduced. Using the resistivity model together with a similar kind of reluctivity model, we find that a macroscale magnetodynamic finite element model of a toroid is consistent with measurements. The proposed methods provide a numerically efficient and an easy-to-use framework to model soft magnetic composites.