Experimental Determination of the Preisach Model for Grain Oriented Steel

Eichler, Jakub; Novák, Miroslav; Košek, Miloslav

doi:10.12693/aphyspola.136.713

Cited by 4 publications

(5 citation statements)

References 7 publications

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“…Eichler et al suggested that the use of a nonuniform grid applied to hysteron distribution might improve the overall performance of the Preisach model and its accuracy for hysteresis loops in GO steel [55]. The proposed approach allowed them to increase the computation speed by two orders of magnitude; however, it required more complicated pre-processing grid data necessary for modeling.…”

Section: Discussionmentioning

confidence: 99%

The Effective Field in the T(x) Hysteresis Model

et al. 2023

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Hysteresis loops constitute the source of important information for the designers of magnetic circuits in power transformers. The paper focused on the possibility to interpret the phenomenological T(x) model in terms of effective field vs. magnetization dependence. The interdependence of anhysteretic curve and hysteresis loops was emphasized. The concept of the anhysteretic plane introduced at the end of the last century by Sablik and Langman was subject to a tangible interpretation within the hyperbolic model framework. A novel geometric interpretation of the “effective field” related to the concept of affine transformation was introduced. It was shown in the paper that minor hysteresis loops of grain-oriented electrical steel may be described with the proposed formalism.

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Section: Discussionmentioning

confidence: 99%

The Effective Field in the T(x) Hysteresis Model

et al. 2023

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“…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 ]. The Lorentzian distribution is based on the arctan function [ 173 , 178 , 179 , 180 ], which has a similar sigmoid shape that includes saturation.…”

Section: Preisach Modelmentioning

confidence: 99%

“…Measurements of first-order reversal curves are the most common way to identify the Preisach distribution as seen in several studies [ 180 , 191 , 197 , 198 , 199 , 200 ]. However, this method could have limited applicability when affected by noise [ 201 ].…”

Section: History By Reversal Curvesmentioning

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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“…One approach is based on the arctan-function [173], and could be considered an approximation of the Langevin function [49]. The arctan function could be related to a statistical approach by Cauchy-Lorenzian distribution [325][326][327][328][329][330][331]. There are many statistical functions that are sigmoid shaped.…”

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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Experimental Determination of the Preisach Model for Grain Oriented Steel

Cited by 4 publications

References 7 publications

The Effective Field in the T(x) Hysteresis Model

The Effective Field in the T(x) Hysteresis Model

Review of Play and Preisach Models for Hysteresis in Magnetic Materials

Review of Hysteresis Models for Magnetic Materials

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