An Improved Method for Acquisition of the Parameters of Jiles-Atherton Hysteresis Scalar Model Using Integral Calculus

Filomena Barbosa R Mendes,Jean V Leite,Fredy M S Suárez,Nelson J Batistela,Nelson Sadowski

doi:10.1590/2179-10742017v16i1880

Abstract

An accurate modeling of materials is essential to obtain reliable results in fields calculation. The Jiles-Atherton approach is widely used for modeling the magnetic hysteresis and depends on its set of five parameters to properly represent material. In this article is proposed an original methodology for obtaining this set of parameters avoiding the derivatives rough calculation and using the calculation of integrals. From the model equations, a new methodology with two nonlinear algebraic systems of five equations in five unknowns is obtained. The initial magnetization curve, the anhysteretic curve and filtering data are not necessary. The proposed methodology also does not restrict the search space of parameters. The parameters assume values in the interval (0,∞). Calculated data were compared with experimental data to validate the methodology. The simulations showed that the proposed method can obtain an accurate set of parameters from a single experimental hysteresis loop and with low computational effort.

Highlights

Several models for scalar modeling of magnetic hysteresis are found in the literature but the JilesAtherton approach has been widely used [1]-[9]
To completely characterize a given material the Jiles-Atherton model requires the determination of five parameters: ms(A/m), α, a (A/m), k, and c [10]-[12]. The calculation of these parameters has been performed through different methods stochastic and deterministic
APPLICATION RESULTS OF PROPOSED METHODOLOGY calculated hysteresis loops are compared to measured hysteresis loops to validate the proposed methodology

Summary

Introduction

Several models for scalar modeling of magnetic hysteresis are found in the literature but the JilesAtherton approach has been widely used [1]-[9]. To completely characterize a given material the Jiles-Atherton model requires the determination of five parameters: ms(A/m), α, a (A/m), k, and c [10]-[12]. The calculation of these parameters has been performed through different methods stochastic and deterministic. The three methodologies have the same origin (the equations of Jiles-Atherton); they use the same method (non-linear least squares) to solve an equations system of infinitely many solutions where the solution is the set of parameters to be calculated; and they were applied to characterize the same material. The system of equations is written with this last equation

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Conclusion