Fast computing vector hysteresis model

Vector hysteresis modeling is necessary in order to describe many magnetic processes ranging from magnetic recording to electrical machines. Several models have been proposed to describe vector hysteresis behavior but this is an open research topic so far. This paper introduces a simplified vector model based on the Preisach approach that intrinsically satisfies loss and saturation properties. It is able to reproduce isotropic and non-isotropic behavior. The second one when in the experimental rotational loops the vector magnetization is delayed with respect to the rotational field for each angle. The magnetization is computed in two independent steps, amplitude and phase. The proposed formulation allows fast computation of rotational and alternative vector magnetization, the computational time is of the same order of the Scalar Preisach Model. In this paper, we underline the amplitude dependence of computational time because it is the bigger contribution to the total computation of the magnetization.