An Isotropic Analytical Vector Preisach Model Based on the Lorentzian Function

The modeling of vector behavior of magnetic materials is an open research topic, it is used in a large number of different applications. Several models have been proposed, these must satisfy two physical properties: saturation and loss. This paper introduces a new vector Preisach hysteresis model that, differently by the Mayergoyz approach, is based on the super-position of 2-3 Classical Scalar Preisach Models in orthogonal directions along the principal axes of the system, assuming that the Preisach functions are independent for each axis. The Lorentzian function used as analytical Preisach approximation allowing to write the magnetization and its derivative with respect to the magnetic field in an analytical closed form. Lastly, the paper shows as the model satisfies saturation and loss properties.