Application of Jiles-Atherton Model for Modelling Magnetization Characteristics of Textured Electrical Steel Magnetized in Easy or Hard Axis

Abstract

Paper presents the results of application of extended Jiles-Atherton model for modeling of the magnetic hysteresis loops of anisotropic, grain oriented Unisil M130-27s silicon electrical steel. During the modeling both anisotropy of the magnetic material as well as changes of average energy required to break pinning site were considered. Moreover, equation determining anisotropic anhysteretic magnetization was corrected to be coherent with isotropic model. Parameters of the model were determined during the evolutional strategy-based optimization process simultaneously considering six hysteresis loops measured for different value of amplitude of magnetizing field as well as for magnetization in direction of the easy and hard axis of the magnetic material. Source code for this process is available at the web page. High level of agreement between experimental results and results of modeling was achieved and confirmed by the value of coefficient of determination. Simultaneous determination of Jiles-Atherton model parameters based on six hysteresis loops enables successful assessment of average anisotropy energy density during the optimization process. Moreover, set of nine Jiles-Atherton model’s parameters is suitable to model functional characteristics of the magnetic core made of silicon electrical steel necessary for numerical optimization of construction of electric and electronic devices.