TY - JOUR
AB - Purpose– The increase of the accuracy of a mathematical model of hysteresis by the choice of the optimum saturation curve for a given material.Design/methodology/approach– Hysteresis loops of typical soft magnetic materials are approximated with the help of the Taka´cs magnetization model using different saturation curves. The quality of approximations is determined by the deviation of computed magnetic induction amplitudes, iron losses, apparent remanences and coercivities from the measured values.Findings– By the proper choice of saturation curve, the relative inaccuracy of approximations can be reduced with reference to the original model based on tangent hyperbolic function.Research limitations/implications– The accuracy of approximations worsens close to saturation because of the excessive rise of magnetization due to the linear term of the model. This effect should be minimized by the application of complex saturation curves using greater number of parameters.Practical implications– Owing to the convenient analytical form and increased accuracy, the model equations can be used in simpler practical evaluations of hysteresis effects and for teaching purposes.Originality/value– Presented form of model equations enables approximation of hysteresis loops and the evaluation of main characteristics of magnetic materials on the basis of any saturation curve.
VL - 24
IS - 4
SN - 0332-1649
DO - 10.1108/03321640510615661
UR - https://doi.org/10.1108/03321640510615661
A1 - Włodarski Zdzisław
A2 - Włodarska Jadwiga
A3 - Brykalski Andrzej
PY - 2005
Y1 - 2005/01/01
TI - Application of different saturation curves in a mathematical model of hysteresis
T2 - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB - Emerald Group Publishing Limited
SP - 1367
EP - 1380
Y2 - 2019/11/18
ER -