Finite element method (FEM) of nonlinear magnetic field computation embedded with different vector Jiles-Atherton (J-A) hysteresis models is investigated in this paper. Newton’s method is adopted to do the nonlinear iteration. Both scalar and vector J-A models are incorporated into the FEM computation. The TEAM workshop problem 32 is used as a numerical example. The computed results are compared with the measured ones, which shows the effectiveness of the developed algorithm. The specifics of different vector J-A models are pointed out from the viewpoints of modelling accuracy and convergence performance.
JilesD.C. and AthertonD.L., Ferromagnetic hysteresis, IEEE Trans. Magn.19(5) (1983), 2183–2185.
2.
JilesD.C. and AthertonD.L., Theory of ferromagnetic hysteresis, J. Magn. Magn. Mater.61 (1986), 48–60.
3.
MarionR.ScorrettiR.SiauveN.RauletM.A. and KrahenbuhlL., Identification of Jiles-Atherton model parameters using particle swarm optimization, IEEE Trans. Magn.44(6) (2008), 894–897.
4.
TomanM.StumbergerG. and DolinarD., Parameter identification of the Jiles-Atherton hysteresis model using differential evolution, IEEE Trans. Magn.44(6) (2008), 1098–1101.
5.
BergqvistA.J., A simple vector generalization of the Jiles-Atherton model of hysteresis, IEEE Trans. Magn.32 (1996), 54213–54215.
IvanyiA., Hysteresis in rotation magnetic field, Physica. B275 (2000), 107–113.
8.
LiW.KimI.H.JangS.M. and KohC.S., Hysteresis modeling for electrical steel sheets using improved vector Jiles-Atherton hysteresis model, IEEE Trans. Magn.47(10) (Oct. 2011), 3821–3824.
9.
DlalaE.BelahcenA. and ArkkioA., A fast fixed-point method for solving magnetic field problems in media of hysteresis, IEEE Trans. Magn.44(6) (Jun. 2008), 1214–1217.
10.
LiW. and KohC.S., Investigation of the vector Jiles-Atherton model and the fixed point method combined technique for time periodic magnetic problems, IEEE Trans. Magn.51(4) (Apr. 2015), Article#. 7402906.
11.
GyselinckJ.DularP.SadowskiN.LeiteJ. and BastosJ.P.A., Incorporation of a Jiles-Atherton vector hysteresis model in 2D FE magnetic field computations, COMPEL – The International Journal for Computation and Mathematics in Electrical and Electronic Engineering23(3) (2004), 685–693.
12.
BottauscioO.ChiampiM.RagusaC.RegeL. and RepettoM., Description of TEAM problem: 32 A – test case for validation of magnetic field analysis with vector hysteresis, 2010, [online]. Available: http://www.compumag.org/jsite/images/stories/TEAM/problem32.pdf.
