This paper deals with the use of a vector Jiles-Atherton hysteresis static model introduced in the solving of a 2D time-domain finite element calculation. To ensure convergence, a Newton-Raphson algorithm is used with a relaxation procedure. The model is applied to simulate the transient operation of a fast-acting electromechanical actuator, accounting for remanence in the ferromagnetic parts. The impact of static hysteresis and eddy currents is investigated.
GyselinckJ., De WulfM., VandeveldeL. and MelkebeekJ., Incorporation of vector hysteresis and eddy current losses in 2D FE magnetodynamics, in Proc. Electrimacs'99, Lisbon, Portugal, Sept., 14-16, 3 (1999), 37-44.
2.
BergqvistA., A simple vector generalisation of the Jiles-Atherton model of hysteresis, IEEE Trans. Magn.32(4) (1996), 4213-4215.
3.
GyselinckJ., VandeveldeL., MelkebeekJ. and DularP., Complementary two-dimensional finite element formulations with inclusion of a vectorized Jiles-Atherton model, COMPEL23(3) (2004), 959-967.
4.
GyselinckJ., DularP., SadowskiN., LeiteJ. and BastosJ.P.A., Incorporation of a Jiles-Atherton vector hysteresis model in 2D FE magnetic field computations - Application of the Newton-Raphson method, COMPEL23(3) (2004), 685-693.
5.
JilesD. and AthertonP., Theory of ferromagnetic hysteresis, Journal of Magnetism and Magnetic Materials61(1-2) (1986), 48-60.
6.
LeiteJ.V., SadowskiN., Kuo-PengP., BatistelaN.J., BastosJ.P.A. and de EspíndolaA.A., Inverse Jiles-Atherton vector hysteresis model, IEEE Trans. Magn.40(3) (2004), 1769-1775.
7.
HoffmannK., BastosJ.P.A., SadowskiN. and LeiteJ.V., Convergence Procedures Applied for Solving 3D Vector Hysteresis Modeling Coupled with FEM, CEFC'2014, Annecy, France, (2014).
8.
LeiteJ.V., BenabouA. and SadowskiN., Transformer inrush currents taking into account vector hysteresis, IEEE Trans. Magn.46(7) (2010), 3237-3240.
9.
FujiwaraK., NakataT., OkamotoN. and MuramatsuK., Method for determining relaxation factor for modified Newton-Raphson method, IEEE Trans. Magn.29(2) (1993), 1962-1965.
10.
MeunierG., The finite element method for electromagnetic modeling, ISTE, Wiley, Chapter 7, Coupling with circuit equations, 2008, pp. 277-320.
11.
WendlingP., LombardP., RuizR., GuerinC., LeconteV., BatailleC. and Cadeau-BelliardS., 3D motion in magnetic actuator modelling, Proceedings of the Eighth International Conference on Electrical Machines and Systems 2005, ICEMS 2005, 27-29 Septembre 2005, 1, 626-629.
12.
CoulombJ.L. and MeunierG., Finite element implementation of virtual work principle for magnetic or electric force and torque computation, IEEE Trans. Magn.20(4) (1984), 1894-1896.
