Static hysteresis loop model with changing parameters

Abstract

SUMMARY 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 performed 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.

On some approaches to model reversible magnetization processes

“…Most papers devoted to the JA model focus on the following issues: estimation of model parameters using different techniques [14,[57][58][59][60][61][62][63][64], analysis of coupled problems [10,12,53,65,66] and possibilities of the model to describe magnetization processes in novel materials and structures [3,58,[67][68][69][70]. A number of references report on the necessity to update the values of some model parameters in order to obtain a quantitatively correct representation of minor loops and reversal curves [14,18,51,57,58,68,71,72]. In the context of the subject of the present paper, it is interesting to note the reported variations of reversibility parameter c upon the changes of stress [10,12], temperature [65,66,73] or applied field [57,67,68,71,72].…”

“…A number of references report on the necessity to update the values of some model parameters in order to obtain a quantitatively correct representation of minor loops and reversal curves [14,18,51,57,58,68,71,72]. In the context of the subject of the present paper, it is interesting to note the reported variations of reversibility parameter c upon the changes of stress [10,12], temperature [65,66,73] or applied field [57,67,68,71,72]. Some authors pointed out the problems with the description of magnetization curves after a sudden field reversal (the necessity to introduce the pseudo-parameter δ M suppressing the irreversible magnetization term, thus eliminating negative differential susceptibilities) [74][75][76].…”