A Vector Generalization of the Inverse G Model for Magnetic Vector Potential FEM Problems

In a previous work, a hysteresis modeling, called G model, was proposed with the goal of describing this phenomenon by simple equations. In that work, we developed the direct model which uses the magnetic field as the independent variable. However, with the magnetic vector potential 2-D classical formulation, the magnetic induction is the independent quantity. The main contribution of this work is to present the inverse version of the G model adapted to vector potential formulation. In addition, a Mayergoyz vector hysteresis generalization is applied in order to consider rotational fields and couple the model with a 2-D vector potential finite-element method (FEM) formulation. In this approach, the anisotropy is inserted with the orientation distribution function (ODF).