Improved Preisach Model for Modelling Magnetic Hysteresis Effect in Non-Oriented Steels

Zeinali, Reza; Krop, D.C.J.; Lomonova, E.A.; Ertan, Hayri

doi:10.1109/icelmach.2018.8506975

Cited by 6 publications

(6 citation statements)

References 16 publications

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“…Another simplified distribution introduced by Biorci [ 151 ], also used by later studies [ 152 , 153 ], uses factorization similar to the separation of variables. The distribution is rewritten as

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Section: Preisach Modelmentioning

confidence: 99%

“…Statistical models are common ways for modeling the Preisach weight distribution [ 170 ], where these distributions can be used with approaches to separations of variables by factorization by

[ 171 ]. Some common distributions are the Gaussian, Lorentizian and log-normal distributions [ 153 , 172 , 173 ]. The most common approaches are the Gaussian normal distribution [ 65 , 132 , 160 , 174 ] and the Lorentzian (or Cauchy–Lorenzian) distribution [ 164 , 175 , 176 ], but some also use the log-normal distributions [ 141 , 177 ].…”

Section: Preisach Modelmentioning

confidence: 99%

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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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…”

Section: Preisach Modelmentioning

confidence: 99%

“…Statistical models are common ways for modeling the Preisach weight distribution [ 170 ], where these distributions can be used with approaches to separations of variables by factorization by

Section: Preisach Modelmentioning

confidence: 99%

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Mörée

Leijon

2023

Materials

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“…There are many statistical functions that are sigmoid shaped. From another approach it is possible to use statistical distributions such as the Gaussian error function [14,81,142,332,333] and the log-normal distribution [310,326,[334][335][336]. With many different, yet similar functions, several functions could be seen as approximations of each other while using curve fitting.…”

Section: Statistical Distributionsmentioning

confidence: 99%

Review of Hysteresis Models for Magnetic Materials

Mörée

Leijon

2023

Energies

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There are several models for magnetic hysteresis. Their key purposes are to model magnetization curves with a history dependence to achieve hysteresis cycles without a frequency dependence. There are different approaches to handling history dependence. The two main categories are Duhem-type models and Preisach-type models. Duhem models handle it via a simple directional dependence on the flux rate, without a proper memory. While the Preisach type model handles it via memory of the point where the direction of the flux rate is changed. The most common Duhem model is the phenomenological Jiles–Atherton model, with examples of other models including the Coleman–Hodgdon model and the Tellinen model. Examples of Preisach type models are the classical Preisach model and the Prandtl–Ishlinskii model, although there are also many other models with adoptions of a similar history dependence. Hysteresis is by definition rate-independent, and thereby not dependent on the speed of the alternating flux density. An additional rate dependence is still important and often included in many dynamic hysteresis models. The Chua model is common for modeling non-linear dynamic magnetization curves; however, it does not define classical hysteresis. Other similar adoptions also exist that combine hysteresis modeling with eddy current modeling, similar to how frequency dependence is included in core loss modeling. Most models are made for scalar values of alternating fields, but there are also several models with vector generalizations that also consider three-dimensional directions.

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“…The static Preisach model is one of the phenomenological hysteresis models which has been thoroughly investigated in the F Contribution to the Topical Issue "International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF 2019)", edited by Adel Razek. * e-mail: r.zeinali@tue.nl literature [4][5][6][7][8]. In [9], several commonly used hysteresis models including Jiles-Atherton (J-A), GRUCAD, Stop, Tellinen (TLN), and Z-M hysteresis models are studied and compared in terms of identification procedure facilities, accuracy, numerical implementation, and computational effort.…”

Section: Introductionmentioning

confidence: 99%

Modeling the dynamic behavior of laminated steels using a Fourier-based approach

Zeinali

Krop

Lomonova

2020

Eur. Phys. J. Appl. Phys.

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A new magneto-dynamic model is proposed to approximate the dynamic hysteresis effect of laminated steel considering the static hysteresis, eddy-current field, and excess field. An accurate congruency-based model is used to model the static hysteresis. The eddy-current field and the static hysteresis are coupled by the 1D penetration equation and the well-known Bertotti empirical equation is used to model the excess-field effect. A Fourier-based approach is used to solve the dynamic model equation for unknown flux density. In this approach, the flux density over the lamination thickness is approximated by a cosine-based Fourier series. The coefficients of the Fourier series are obtained by solving a system of nonlinear equations using an iterative procedure. The accuracy of the proposed model is validated by comparing the model results with sinusoidal and multi-harmonic measurements. The comparison shows that the proposed model predicts the dynamic hysteresis phenomenon in laminated steels with a relative energy error of less than 7%.

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Improved Preisach Model for Modelling Magnetic Hysteresis Effect in Non-Oriented Steels

Cited by 6 publications

References 16 publications

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Review of Hysteresis Models for Magnetic Materials

Modeling the dynamic behavior of laminated steels using a Fourier-based approach

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