Abstract
This paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different non-oriented electrical steel grades and one grain-oriented grade. Two standard non-oriented grades and a high-silicon grade (Si content of 6.5%) made by CVD are analyzed. An excellent match is obtained using the double Langevin function, whereas the classical solutions are less appropriate. Thereby, problems such as those due to propagation of approximation errors observed in hysteresis modeling can be bypassed.
Highlights
Many of the most used and well-known hysteresis models exploit the Langevin function for description of the anhysteretic magnetization curves of different materials
Using the Langevin function when predicting hysteresis loops can lead to problems that are linked to the limited number of parameters and accuracy of the description of the anhysteretic curve.[3,4]
The double Langevin function enables to improve the accuracy of the description of various anhysteretic magnetization curves and, at the same time, the parameters are linked to the material microstructure and alloy, i.e., physical-based
Summary
Many of the most used and well-known hysteresis models exploit the Langevin function for description of the anhysteretic magnetization curves of different materials Among these models is for example the Jiles-Atherton[1] or the GRUCAD2 hysteresis model. The biggest deviations arise especially in the knee region of the anhysteretic curve This leads further on to bigger deviations when using discussed hysteresis models to predict dynamic magnetization and power losses in soft magnetic materials. In this paper these problems are addressed by applying a double Langevin function instead of single one, as it is common practice. The double Langevin function enables to improve the accuracy of the description of various anhysteretic magnetization curves and, at the same time, the parameters are linked to the material microstructure and alloy, i.e., physical-based
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