Thermodynamically Consistent Magnetic Hysteresis Model—Application to Soft and Hard Magnetic Materials Including Minor Loops

A novel thermodynamically consistent macroscopic magnetic hysteresis model is presented. Magnetization is calculated from the reversible part of the magnetic field, while the evolution law of the irreversible part involves physically meaningful material constants: the coercive field and the initial susceptibilities of the hysteretic and anhysteretic curves. It is possible to invert the model through an iterative procedure, allowing either the magnetic field or the flux density as an input to the model. The model is tested on both soft and hard magnetic materials for major and minor loops.