Reliability and Efficiency of Differential Evolution Based Method of Determination of Jiles-Atherton Model Parameters for X30CR13 Corrosion Resisting Martensitic Steel

Abstract

Paper presents new possibilities of Jiles-Atherton model of magnetic hysteresis parameters determination. The main problem connected with this model is the fact that its parameters have to be determined during the optimization process. However, due to the local minima on the target function, the gradient optimization methods are not effective, whereas evolutionary strategies, such as (µ+λ) strategy, are very time consuming. Results of calculation presented in the paper indicate that differential strategies create possibility of reliable and fast determination of Jiles-Atherton model parameters. Paper also presents guidelines for practical determination of model's parameters, which is very important from practical point of view.

Modelling the Influence of Stresses on Magnetic Characteristics of the Elements of the Truss Using Extended Jiles-Atherton Model

“…For this reason presented analyses were divided into two steps. In the first step, the parameters of unstressed sample were determined during the optimization process based on the differential evolution [8] first, and then using the Nelder and Mead simplex optimization. Target function was the sum of squared differences between experimental hysteresis loops and the results of modelling.…”

“…Target function was the sum of squared differences between experimental hysteresis loops and the results of modelling. To achieve better agreement with experiment, the three hysteresis loops measured for the different values of amplitude of magnetizing field were considered simultaneously [8]. Due to the fact that 13CrMo4-5 constructional steel can be considered as an isotropic material, in this step of simulation average anisotropy energy density K an was equal to 0.…”

Modeling and validation of magnetic field distribution of permanent magnets

“…В работе [4] выполнено сравнение вычислительных возможностей кластеров и высокого класса персональ-ных компьютеров при моделировании FEM.…”

“…Описанные вычислительные возможности [4] по-зволяю сделать вывод о достаточной вычислительной мощности персональных компьютеров для выполне-ния трехмерного моделирования. Так в работе [3] проведено трёхмерное моделирование, но для взаи-модействия магнитного поля с маятником, описан-ная методика не позволяет выполнять трёхмерное моделирование постоянных магнитов.…”

Open Source Implementation of Different Variants of Jiles-Atherton Model of Magnetic Hysteresis Loops

“…Since its introduction [1] in 1984 this model was developed and updated considering different physical phenomena, such as uniaxial or cubic anisotropy of magnetic material [2,3], dynamic magnetization [4], as well as advanced methods of determination of model parameters [5][6][7]. Moreover, different computational issues connected with Jiles-Atherton model were considered [8], mostly caused by solving of differential equations stating the model.…”