Analysis of vector hysteresis models in comparison to anhysteretic magnetization model

Xiao, Xiao; Müller, Fabian; Bavendiek, Gregor; Hameyer, Kay

doi:10.1051/epjap/2020200019

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…Modeling with five stop hysterons, there are five weights to be identified. The first weight for the first hysteron is always equal to one, as it describes the contribution of the anhysteretic curve to the entire system (Xiao et al , 2020). Applying the least-squares method, the weights can be determined by minimizing the errors between the simulation results from the model and the measurements.…”

Section: Parameter Identification and Validation Of Vector Hysteresis...mentioning

confidence: 99%

Prediction of hysteresis losses by an advanced vector hysteresis stop model with threshold surfaces

Xiao

Müller

Nell

et al. 2022

COMPEL

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Purpose The ordinary vector hysteresis stop model with constant threshold values is not able to prohibit the hysteretic property after the saturation correctly. This paper aims to develop an improved vector hysteresis stop model with threshold surfaces. This advanced anisotropic vector hysteresis stop model can represent the magnetic saturation properties and the hysteresis losses under alternating and rotating magnetizations. Design/methodology/approach By integrating anhysteretic surfaces into the elastic element of a vector hysteresis stop model, the anisotropy of the permeability of an electrical steel sheet can be represented. Instead of the commonly used constant threshold value for plastic elements of the hysteresis model, threshold surfaces are applied to the stop hysterons. The threshold surfaces can be derived directly from measured alternating major loops of the material sample. By saturated polarization, the constructed threshold surfaces are vanishing. In this way, the reversible magnetic flux density is in the same direction of the applied magnetic flux density. Thus, the saturation properties are satisfied. Findings Analyzing the measurements of the electrical steel sheets sample obtained from a rotational single sheet tester shows that the clockwise (CW) and counter-CW (CCW) rotational hysteresis losses decrease by saturated flux density. At this state, instead of the domain wall motion, the magnetization rotation is dominant in the material. As a result, the hysteresis losses, which are related to the domain wall motion, are vanished near the saturation. In one stop operator, the plastic element represents the hysteresis part of the model. Integrating threshold surface into the plastic element, the hysteresis part can be modified to zero near the saturation to represent the saturation properties. Originality/value The results of this work demonstrate that the presented vector hysteresis stop model allows simulation of anisotropic hysteresis effects, alternating and rotating hysteresis losses. The parameters of the hysteresis model are determined by comparing the measured and modeled minor loops in different alternating magnetization directions. With the identified parameters, the proposed model is excited with rotated excitations in CW and CCW directions. The rotated hysteresis losses, derived from the model, are then compared with those experimentally measured. The modified vector stop model can significantly improve the accuracy of representing hysteresis saturations and losses.

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Section: Parameter Identification and Validation Of Vector Hysteresis...mentioning

confidence: 99%

Prediction of hysteresis losses by an advanced vector hysteresis stop model with threshold surfaces

Xiao

Müller

Nell

et al. 2022

COMPEL

Self Cite

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show abstract

“…Accordingly, time fractional derivatives are well suited to an analysis of ferromagnetic hysteresis phenomena because present behavior is strongly correlated with historical behavior. These recent advances have greatly increased the sophistication of modeling a wide range of magnetic responses [20]- [24]. However, these efforts have been disproportionately restricted to alternating magnetic field conditions, while developments appropriate under rotating magnetic field conditions are relatively unreported.…”

Section: -Introductionmentioning

confidence: 99%

A universal method based on fractional derivatives for modeling magnetic losses under alternating and rotational magnetization conditions

Ducharne

Żurek

Sebald

2022

Journal of Magnetism and Magnetic Materials

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“…It seems that more complex magnetization models have become more popular in recent years [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ], but this is not good news for the engineering applications of the models. These models directly used the classical model as a sub-model, or performed some adaptive improvements to the classical model to improve the applicability.…”

Section: Introductionmentioning

confidence: 99%

An Easily Used Phenomenological Magnetization Model and Its Empirical Expressions Based on Jiles–Atherton Parameters

Xue

Bai

Li³

et al. 2022

Materials

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In this paper, a simple magnetization model convenient for engineering applications is presented based on the expressions of the first-order LTI system model. Considering the trade-off between the nonlinearity of anhysteretic magnetization and the hysteresis width, the proposed model employs two different equations with different magnetic field amplitudes. Furthermore, the proposed model utilizes the first-order LTI system model with a low magnetic field amplitude and a simple nonlinear function, based on the amplitude–frequency function, with a high magnetic field amplitude. Two important characteristic parameters for engineering applications, namely, amplitude and the equivalent phase lag, were exacted and analyzed to validate the computation precision of the proposed model. Then, the model was verified through comparisons to the validated Jiles-Atherton model. For easy use, similar to a physics-based model instead of a fitting method, empirical expressions for the model parameters were given, and applicable ranges of these equations were determined using the parameters of the Jiles-Atherton model. Finally, an example of the magnetization model applied to an on/off type device was computed to further verify the effectiveness of the proposed model with quite a simple expression.

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Analysis of vector hysteresis models in comparison to anhysteretic magnetization model

Cited by 3 publications

References 19 publications

Prediction of hysteresis losses by an advanced vector hysteresis stop model with threshold surfaces

Prediction of hysteresis losses by an advanced vector hysteresis stop model with threshold surfaces

A universal method based on fractional derivatives for modeling magnetic losses under alternating and rotational magnetization conditions

An Easily Used Phenomenological Magnetization Model and Its Empirical Expressions Based on Jiles–Atherton Parameters

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