New formulation of the Stoner–Wohlfarth hysteresis model and the identification problem

A new formulation of the Stoner–Wohlfarth hysteresis model is introduced. This formulation simplifies the analysis of the model through the use of a diagram technique similar to the one employed by the Preisach model. It is shown that using the new formulation the identification problem can be posed in terms of an integral equation relating the switching field distribution to the set of vertical chords of symmetric minor hysteresis loops. Solution of this integral equation is discussed, and some limitations of the Stoner–Wohlfarth model are revealed.