A hybrid Jiles–Atherton and Preisach model of dynamic magnetic hysteresis based on backpropagation neural networks

Li, Yang; Zhu, Jun; Li, Yongjian; Zhu, Lihua

doi:10.1016/j.jmmm.2021.168655

Cited by 18 publications

(12 citation statements)

References 27 publications

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“…It is shown that by a special choice of the Preisach converter measure, the input-output correspondences of the Jiles-Atherton model and the Preisach converter can be matched [116,117]. Note, that a number of works have compared the Preisach and Jiles-Atherton models [118][119][120][121], and recent work [122] has constructed a new hybrid hysteresis model based on them using back propagation neural networks.…”

Section: Modeling Of Technical Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

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Section: Modeling Of Technical Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

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“…One such distribution was based on the Jiles–Atherton model, as studied by Pasquale et al [ 158 , 159 ], which can establish a Preisach model related to the Jiles–Atherton model [ 164 , 165 , 166 ]. The phenomenological Jiles–Atherton model [ 167 , 168 ] is otherwise commonly a Duhem model and has another type of hysteresis.…”

Section: Preisach Modelmentioning

confidence: 99%

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Mörée

Leijon

2023

Materials

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This paper studies the properties of the Preisach model and the play model, and compare their similarities. Both are history-dependent hysteresis models that are used to model magnetic hysteresis. They are described as discrete sums of simple hysteresis operators but can easily be reformulated as integral equations of continuous distribution functions using either a Preisach weight distribution function or a play distribution function. The models are mostly seen as phenomenological or mathematical tools but can also be related to friction-like pinning of domain-wall motions, where Rayleigh’s law of magnetic hysteresis can be seen as the simplest case on either the play model or the Preisach model. They are poor at modeling other domain behavior, such as nucleation-driven hysteresis. Yet another hysteresis model is the stop model, which can be seen as the inverted version of the play model. This type of model has advantages for expressions linked to energy and can be related to Steinmetz equation of hysteresis losses. The models share several mathematical properties, such as the congruency property and wiping-out property, and both models have a history of dependence that can be described by the series of past reversal points. More generally, it is shown that the many models can be expressed as Preisach models, showing that they can be treated as subcategories of the Preisach type models. These include the play model, the stop model and also the alternative KP-hysteron model.

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“…To simulate the materials’ static hysteresis characteristics, many hysteresis models, such as the Preisach, static Jiles–Atherton (JA) and energetic models, have been developed (Szpunar et al , 1987; Jiles, 1994; Hauser, 2004). It should be noted that the effectiveness of these hysteresis models depends on accurately determining their model parameters (Li et al , 2022). Unfortunately, based on the model parameters corresponding to the saturated static hysteresis loop, the existing hysteresis models cannot accurately simulate the symmetrical static hysteresis loop and asymmetrical minor loop, where the symmetrical static hysteresis loop refers to the static hysteresis loop under different magnetizations, and asymmetrical minor loop refers to the local minor loop caused by high-order harmonics (Hauser, 2004).…”

Section: Introductionmentioning

confidence: 99%

Parameters calculation method of energetic model for symmetrical static hysteresis loop and asymmetrical minor loop

Ji,

Zhao,

Zhang

et al. 2023

COMPEL

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Purpose This paper aims to propose an energetic model parameter calculation method for predicting the materials’ symmetrical static hysteresis loop and asymmetrical minor loop to improve the accuracy of electromagnetic analysis of equipment. Design/methodology/approach For predicting the symmetrical static hysteresis loop, this paper deduces the functional relationship between magnetic flux density and energetic model parameters based on the materials’ magnetization mechanism. It realizes the efficient and accurate symmetrical static hysteresis loop prediction under different magnetizations. For predicting the asymmetrical minor loop, a new algorithm is proposed that updates the energetic model parameters of the asymmetrical minor loop to consider the return-point memory effect. Findings The comparison of simulation and experimental results verifies that the proposed parameters calculation method has high accuracy and strong universality. Originality/value The proposed parameter calculation method improves the existing parameter calculation method’s problem of relying on too much experimental data and inaccuracy. Consequently, the presented work facilitates the application of the finite element electromagnetic field analysis method coupling the hysteresis model.

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A hybrid Jiles–Atherton and Preisach model of dynamic magnetic hysteresis based on backpropagation neural networks

Cited by 18 publications

References 27 publications

The Preisach model of hysteresis: fundamentals and applications

The Preisach model of hysteresis: fundamentals and applications

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Parameters calculation method of energetic model for symmetrical static hysteresis loop and asymmetrical minor loop

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