Modification and Numerical Method for the Jiles-Atherton Hysteresis Model. (7th February 2017)

• Record Type: Journal Article
• Authors: Xue, Guangming; Zhang, Peilin; He, Zhongbo; Li, Dongwei; Yang, Zhaoshu; Zhao, Zhenglong
• Is Part Of: Communications in computational physics. Volume 21:Number 3(2017:Mar.)
• Page Start: 763
• Page End: 781
• Publication Date: 2017-02-07
• Subjects: 65L06, -- 34C55, -- 39B12, -- 82D40; Modified J-A model, -- numerical solution method, -- error estimation, -- optimization; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.050615.300816a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: 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.