A differential equation approach to minor loops in the Jiles-Atherton hysteresis model

The reason for the failure of the differential equations to yield physical minor loops involved in the magnetization in ferromagnetic materials is explained. A modified solution for minor loops is presented which retains the features of D.C. Jiles and D.L. Atherton's (1983) original motor loops, but only requires knowledge of the initial point on each portion of the loop to obtain the solution. This yields a general differential equation formulation for the Jiles-Atherton theory that can be used with circuit simulations having arbitrary excitations and initial conditions for ferromagnetic components.<
>