Local Resistivity Model for Soft Magnetic Composite Materials

A resistivity model is proposed for soft magnetic composite materials. The model is complex-valued, but it has a time domain extension as a Cauer network. The model is expressed as a closed-form analytical expression. The resistivity depends explicitly on the physical and geometric properties of the material, and no empirical fitting parameters are introduced. Together with a similar kind of local reluctivity model, we find that a macroscale finite element model of a toroid is consistent with measurements. The presented methods provide a numerically efficient way to model soft magnetic composites.