A Comparison of Two Phenomenological Descriptions of Magnetization Curves Based on T(x) Model

Jastrzębski, R.; Jakubas, Adam; Chwastek, Krzysztof

doi:10.12693/aphyspola.136.720

Cited by 5 publications

(2 citation statements)

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“…Since it only uses the curve of the function, it could alternatively be improved by any other curve that could fit. One simple alternative to the anhysteresis functionis is the similar tanh(H) function, proposed by Takacs [138,140]. However, many other anhysteresis functions has been studied, such as the Gaussian error function, exponential functions or functions based on square-roots [141,142].…”

Section: Phenomenological Anhysteresis Functionmentioning

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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Section: Phenomenological Anhysteresis Functionmentioning

confidence: 99%

Review of Hysteresis Models for Magnetic Materials

Mörée

Leijon

2023

Energies

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“…Its developer writes the model equations in the dimensionless form and does not introduce any interpretation for the considered variables, which makes the description universal and easily customizable for any application. In the present paper, we identify the input variable as the reduced applied field strength intensity H and the output variable as the reduced magnetization M, however it is also possible to consider more complicated relationships, e.g., by taking into account the internal positive feedback within the material [11,12].…”

Section: Introductionmentioning

confidence: 99%

A Study of Temperature-Dependent Hysteresis Curves for a Magnetocaloric Composite Based on La(Fe, Mn, Si)13-H Type Alloys

2020

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In the present paper, the effect of temperature on the shape of magnetic hysteresis loops for a magnetocaloric composite core was studied. The composite core, based on La(Fe, Mn, Si)13-H, was set up using three component disks with different Curie temperatures. The magnetic properties of the components and the outcome composite core were determined using a self-developed measurement setup. For the description of hysteresis loops, the phenomenological T(x) model was used. The presented methodology might be useful for the designers of magnetic active regenerators.

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