@Article{CiCP-21-3,
author = {},
title = {Modification and Numerical Method for the Jiles-Atherton Hysteresis Model},
journal = {Communications in Computational Physics},
year = {2017},
volume = {21},
number = {3},
pages = {763--781},
abstract = {<p style="text-align: justify;">The Jiles-Atherton (J-A) model is a commonly used physics-based model
in describing the hysteresis characteristics of ferromagnetic materials. However, citations
and interpretation of this model in literature have been non-uniform. Solution
methods for solving numerically this model has not been studied adequately. In this
paper, through analyzing the mathematical properties of equations and the physical
mechanism of energy conservation, we point out some unreasonable descriptions of
this model and develop a relatively more accurate, modified J-A model together with
its numerical solution method. Our method employs a fixed point method to compute
anhysteretic magnetization. We obtain the susceptibility value of the anhysteretic
magnetization analytically and apply the 4th order Runge-Kutta method to the solution
of total magnetization. Computational errors are estimated and then precisions
of the solving method in describing various materials are verified. At last, through
analyzing the effects of the accelerating method, iterative error and step size on the
computational errors, we optimize the numerical method to achieve the effects of high
precision and short computing time. From analysis, we determine the range of best
values of some key parameters for fast and accurate computation.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050615.300816a},
url = {https://global-sci.com/article/80099/modification-and-numerical-method-for-the-jiles-atherton-hysteresis-model}
}