Introducing a domain flexing function in the Jiles–Atherton hysteresis model

The Jiles-Atherton hysteresis model (J–A model) exhibits a certain unphysical behavior when magnetic excitation reaches or reverses from the extremity of the hysteresis loop. Introducing a domain flexing function, coherent with the magnetic excitation level, improves accuracy of the J–A hysteresis model and at the same time prevents its unphysical behavior. Moreover, applying this function also improves representation of inner (lower excitation level) hysteresis loops. Implementation of magnetic excitation dependence in the domain flexing function adds a valuable parameter to the J–A original model on the way towards its further optimization. In the proposed hysteresis model, genetic algorithms are used in parameters optimization.