Theoretical Model of Temperature Dependence of Hysteresis Based on Mean Field Theory

Raghunathan, Arun; Melikhov, Yevgen; Snyder, John Evan; Jiles, David

doi:10.1109/tmag.2010.2045351

Cited by 71 publications

(54 citation statements)

References 14 publications

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“…12,13 According to the classical Jiles-Atherton model, the magnetization is split into irreversible and reversible components and energetic considerations will lead to the following differential equation:…”

Section: Ferromagnetic Phasementioning

confidence: 99%

“…Finally, the procedure to identify the parameters of the Jiles-Atherton model (M S , k, a, a, c) and the corresponding parameters describing their temperature dependence was established earlier 12,13 and is applicable for the measurements made at temperatures below the first order phase transition temperature, i.e., T < T 1stORDER .…”

Section: F General Identification Proceduresmentioning

confidence: 99%

“…12,13 More specifically, we will refer mainly to the magnetocaloric material Gd 5 proposed approach can easily be applicable to other special systems such as systems with the Griffiths phase or other simpler systems.…”

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confidence: 99%

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Phenomenological modelling of first order phase transitions in magnetic systems

Melikhov

Hadimani

Raghunathan

2014

Journal of Applied Physics

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First order phase transitions may occur in several magnetic systems, with two structural phases having different magnetic properties each and a structural transition between them. Here, a novel physics based phenomenological model of such systems is proposed, in which magnetization is represented by the volumetric amounts of ferromagnetism (described by extended Jiles-Atherton theory) and paramagnetism (described by the Curie-Weiss law) in respective phases. An identification procedure to extract material parameters from experimental data is proposed. The proposed phenomenological approach was successfully applied to magnetocaloric Gd5(Six Ge 1−x)4 system and also has the potential to describe the behavior of Griffiths phase magnetic systems. KeywordsCurie point, Magnetic fields, Paramagnetism, Ferromagnetic materials, Magnetic materials Disciplines Electromagnetics and Photonics | Engineering Physics CommentsThe following article appeared in Journal of Applied Physics 115 (2014) First order phase transitions may occur in several magnetic systems, with two structural phases having different magnetic properties each and a structural transition between them. Here, a novel physics based phenomenological model of such systems is proposed, in which magnetization is represented by the volumetric amounts of ferromagnetism (described by extended Jiles-Atherton theory) and paramagnetism (described by the Curie-Weiss law) in respective phases. An identification procedure to extract material parameters from experimental data is proposed. The proposed phenomenological approach was successfully applied to magnetocaloric Gd 5 (Si x Ge 1Àx ) 4 system and also has the potential to describe the behavior of Griffiths phase magnetic systems. V C 2014 AIP Publishing LLC.[http://dx

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Section: Ferromagnetic Phasementioning

confidence: 99%

Section: F General Identification Proceduresmentioning

confidence: 99%

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Phenomenological modelling of first order phase transitions in magnetic systems

Melikhov

Hadimani

Raghunathan

2014

Journal of Applied Physics

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“…The temperature-dependent JA model was recently presented in the literature [6], [7]. Two additional parameters were introduced, and analytical expressions were proposed for the evolution of the JA model parameters with temperature.…”

Section: Introductionmentioning

confidence: 99%

“…A new method was presented in [9] based on the direct identification of parameters from the measured data at different temperatures and was compared with the model presented in [6] and [7]. The proposed method was applied to NiFe 80/20 material.…”

Section: Introductionmentioning

confidence: 99%

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

Hussain

Bénabou²,

Clénet

et al. 2018

IEEE Trans. Magn.

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. High operating temperatures modify the magnetic behavior of ferromagnetic cores which may affect the performance of electrical machines. Therefore, a temperature-dependent material model is necessary to model the electrical machine behavior more accurately during the design process. Physics-inspired hysteresis models, such as the Jiles-Atherton (JA) model, seem to be promising candidates to incorporate temperature effects and can be embedded in finite element simulations. In this paper, we have identified the JA model parameters from measurements for a temperature range experienced by non-oriented electrical steels in electrical machines during their operation. Based on the analysis, a parameter reduction has been performed. The proposed approach simplifies the identification procedures by reducing the number of model parameters and does not require any additional material information, such as the Curie temperature. The resulting temperature-dependent JA model is validated against measurements, and the results are in good agreement.

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Static hysteresis loop model with changing parameters

Gmyrek

2013

Int. Trans. Electr. Energ. Syst.

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SUMMARY The application of the Jiles–Atherton (J–A) hysteresis model for numerical modeling of measured quasistatic hysteresis loops of non‐oriented soft magnetic material is investigated. The J–A model used assumes its parameters are dependent on actual effective magnetic field strength. This is performed by using a new parameter associated with the mathematical description of the J–A model. In this paper, the author demonstrates that these varying parameters and the proposed algorithm of parameter estimation are useful in accurate numerical modeling of the static hysteresis loop. Results of modeling are compared with experimental measurements, demonstrating very good agreement in a wide range of maximum field strength. Copyright © 2013 John Wiley & Sons, Ltd.

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Theoretical Model of Temperature Dependence of Hysteresis Based on Mean Field Theory

Cited by 71 publications

References 14 publications

Phenomenological modelling of first order phase transitions in magnetic systems

Phenomenological modelling of first order phase transitions in magnetic systems

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

Static hysteresis loop model with changing parameters

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