Complementary two-dimensional finite element formulations with inclusion of a vectorized Jiles-Atherton model

This paper deals with the magnetic vector and scalar potential formulation for two-dimensional (2D)finite element (FE) calculations including a vector hysteresis model, namely a vectorized Jiles-Atherton model. The particular case of a current-free FE model with imposed fluxes and magnetomotive forces is studied. The non-linear equations are solved by means of the Newton-Raphson method, which leads to the use of the differential reluctivity and permeability tensor. The proposed method is applied to a simple 2D model exhibiting rotational flux, viz the T-joint of a three-phase transformer.