Inclusion of a Direct and Inverse Energy-Consistent Hysteresis Model in Dual Magnetostatic Finite-Element Formulations

This paper deals with the implementation of an energy-consistent ferromagnetic hysteresis model in 2D finite element computations.
This vector hysteresis model relies on a strong thermodynamic foundation and ensures the closure of minor hysteresis loops. The
model accuracy can be increased by controlling the number of intrinsic cell components while parameters can be easily fitted on
common material measurements. Here, the native h-based material model is inverted using the Newton-Raphson method for its
inclusion in the magnetic vector potential formulation. Simulations are performed on a 2D T-shaped magnetic circuit exhibiting
rotational flux. By way of validation, results are compared with those obtained with the dual magnetic scalar potential formulation.
A very good agreement for global quantities is observed.