A Vector Jiles–Atherton Model for Improving the FEM Convergence

This paper presents numerical procedures for the treatment of tensors related to the vector Jiles-Atherton (JA) model applied to the finite element method (FEM). The method is based on the 3-D differential permeability formulation. A more precise calculation implies the determination of the off-diagonal terms of tensor parameters. The main goal is to verify if such a change improves the convergence stability of the model coupled with FEM and if the use of the JA off-diagonal terms yields a more accurate hysteresis representation. We present results comparing experimental data of the Testing Electromagnetic Analysis Methods problem 32 with the proposed method.