Weight-Function Identification for the Preisach Model of Laminated Steels Using Concentric Hysteresis Loops

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

doi:10.1007/978-3-030-56970-9_29

Cited by 2 publications

(4 citation statements)

References 14 publications

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“…Alternative methods are to FORC measurements are either to base the Preisach distribution are based on measurements of symmetrical loops around the origin, i.e., concentric cycles of different magnitude [ 210 , 211 , 212 , 213 , 214 ]. Another approach is to create it based on the shape of the initial magnetizing curve [ 215 ].…”

Section: History By Reversal Curvesmentioning

confidence: 99%

“…Undesired negative values in the Preisach weight distribution can result in incorrect congruencies, that can give unphysical curve shapes with some reversal curves leaving the hysteresis area [ 214 ]. It may then be necessary to adjust the distribution to be entirely positive and, thus, avoid regions with negative values [ 175 ].…”

Section: Negative Values In the Preisach Distributionmentioning

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: History By Reversal Curvesmentioning

confidence: 99%

Section: Negative Values In the Preisach Distributionmentioning

confidence: 99%

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Mörée

Leijon

2023

Materials

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“…The measured data have to be constructed into a proper Preisach model before the congruency property can be applied correctly [40]. Correctly measured FORCs could also result in a Preisach model that has reversal curves that leave the hysteresis area [440]. This is the case if there are negative weight distributions in the Preisach distributions [440].…”

Section: Preisach Models Generated By Scaled Major Loop Curvesmentioning

confidence: 99%

“…Correctly measured FORCs could also result in a Preisach model that has reversal curves that leave the hysteresis area [440]. This is the case if there are negative weight distributions in the Preisach distributions [440].…”

Section: Preisach Models Generated By Scaled Major Loop Curvesmentioning

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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Weight-Function Identification for the Preisach Model of Laminated Steels Using Concentric Hysteresis Loops

Cited by 2 publications

References 14 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

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