The Preisach model and hysteretic energy losses

Abstract

Using Preisach’s model, general expressions for hysteretic energy losses are derived. These expressions are valid for arbitrary (not necessarily periodic) variations of magnetic field. Moreover, these expressions are given in terms of Preisach’s function as well as in terms of experimentally measured ‘‘first-order transition curves.’’ A formula is also found which relates the hysteretic energy losses for arbitrary field variations to the losses ocurring for certain periodic variations of magnetic field. This formula allows for easy measurement of hysteretic losses occurring for arbitrary field variations.