Hysteresis modeling with a Nyström discretization of the quasi-magnetostatic volume integral equation

A quasi-magnetostatic volume integral equation discretized using the Nyström method is presented. The integral equation is formulated in terms of the differential susceptibility for use in hysteresis modeling. A simple stepped algorithm for hysteresis modeling of non-linear magnetic materials is studied. The algorithm is investigated using two non-linear models: a unified hysteresis model and the Jiles-Atherton model. Results are presented for a magnetic sphere excited by an alternating field and the computed results compare well with analytic results. The algorithm also captures minor loops.