Numerical modeling of static hysteresis loop using variable parameters

Abstract

The application of the Jiles–Atherton (J–A) hysteresis model for numerical modeling of measured quasistatic hysteresis loops of non‐oriented soft magnetic material is investigated. The J–A model used assumes its parameters are dependent on actual effective magnetic field strength. This is carried out by using a new parameter associated with the mathematical description of the J–A model. In this paper, the author demonstrates that these varying parameters and the proposed algorithm of parameter estimation are useful in accurate numerical modeling of the static hysteresis loop. Results of modeling are compared with experimental measurements, demonstrating very good agreement in a wide range of maximum field strength. Copyright © 2013 John Wiley & Sons, Ltd.

A Simplified Sablik’s Approach to Model the Effect of Compaction Pressure on the Shape of Hysteresis Loops in Soft Magnetic Composite Cores

“…Using the same values of model parameters modeling was carried for a lower induction amplitude, B m = 0.6 T. As already stated, in the present paper we assumed that the values of all model parameters were kept fixed. However, it should be remarked that in the past a lot of research on the JA model was devoted to examination of model accuracy for lower excitation levels, to mention as representative examples References [40,[58][59][60]. In the above-mentioned references the necessity to update some values of model parameters upon the excitation amplitude is raised and different functional relationships are proposed as a method to improve the model accuracy.…”

“…mention as representative examples References [40,[58][59][60]. In the above-mentioned references the necessity to update some values of model parameters upon the excitation amplitude is raised and different functional relationships are proposed as a method to improve the model accuracy.…”

Comparison of Anisotropic Energy-Based and Jiles–Atherton Models of Ferromagnetic Hysteresis

“…For an isotropic magnetic material, the parameters of the JA model are scalars. However, experience has shown that a single set of parameters produces inaccurate results if used to fit all the symmetric minor BH loops [28]. Thus, in this paper, the parameters of the JA model are estimated for each measured symmetric minor BH loops.…”

“…The classical Langevin and Brillouin functions are commonly used to represent the anhysteretic magnetic characteristics [7], [28]. However, these functions, or their combinations, cannot always fit with the measurements [29].…”

“…The larger number of parameters produce a better fit with the measured data. It is worth noting that the "loopdependent" parameters are actually more physical than having a single set of parameters identified from only one major BH loop [28]. The variation in the parameters of the JA model improves both the reversible and irreversible susceptibility.…”