Towards a unified approach to hysteresis and micromagnetics modeling: A dynamic extension to the Harrison model

Chwastek, Krzysztof; Gozdur, R.

doi:10.1016/j.physb.2019.08.016

Cited by 5 publications

(6 citation statements)

References 42 publications

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“…It is evident that use of many hysterons in the analysis results in better capability of reproducing experimental results (due to increased number of degrees of freedom of the description-this explains the successful story of the Preisach formalism); on the other hand, we wanted to keep the of just two hysterons. The J-H dependency of the first one was given with expression (7); for the other one, it was of similar type, yet with different values of coefficients, i.e.,…”

Section: Resultsmentioning

confidence: 99%

“…The present contribution is inspired by an excellent review work published recently [5]. It extends several concepts which have been mentioned in the previous publications [6][7][8][9]. The fundamental concept of the paper is to modify the Harrison model of ferromagnetism to make it more useful for engineering purposes.…”

Section: Introductionmentioning

confidence: 87%

“…During preliminary tests, we simulated the effect of just two elementary units, one given with (5), where the a value is set to a = −3, and the other given with (7). For the first unit, the loop coordinates at bifurcation points are m crit ≈ ∓0.408 and h crit ≈ 1.633.…”

Section: The Effect From the Use Of Different Elementary Units And Di...mentioning

confidence: 99%

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An Alternative Formulation of the Harrison Model

Chwastek,

Gębara,

Przybył

et al. 2023

Applied Sciences

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The approach advanced by Harrison puts in the spotlight the fundamental role of bistability in hysteresis modeling. The description is based on physical premises concerning irreversible thermodynamics. In the original model, the upscaling of irreversible phenomena acting on the micromagnetic level is carried out by the introduction of a phenomenological parameter β. In the present paper, an alternative approach is proposed. The outputs of individual outputs of elementary hysteresis units (hysterons) are considered like in the stop model. A verification of the proposed model is carried out using measurement data for a praseodymium–dysprosium ribbon sample and a cylinder core made of cobalt-based amorphous material.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 87%

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An Alternative Formulation of the Harrison Model

Chwastek,

Gębara,

Przybył

et al. 2023

Applied Sciences

Self Cite

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“…The points at which the monotonicity of S-shaped curve changes are referred to as bifurcation points; it is clear that their location on the M-H curve may be affected, e.g., by the magnetization dynamics, i.e., the smearing of hysteresis loop from induced eddy currents [32]. In order to keep the considered Harrison model as simple as possible, in this work, we neglect this effect since we believe that in the first approximation for the frequency at which our experiments were carried out, the dynamic effects from eddy currents generated in the sample might be neglected.…”

Section: The Harrison Model Versus Other Commonly Used Descriptions O...mentioning

confidence: 99%

Modeling the Effect of Compressive Stress on Hysteresis Loop of Grain-Oriented Electrical Steel

2022

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Modeling of hysteresis loops may be useful for the designers of magnetic circuits in electric machines. The present paper focuses on the possibility to apply the Harrison model to describe hysteresis loops of grain-oriented electrical steel subject to compressive stress. The model extension is achieved by introduction of an additional term into the equation that describes irreversible magnetization process. The extension term does not include a product of stress and magnetization, as could be anticipated from Sablik’s theory, applicable, e.g., to the Jiles–Atherton model. The present contribution points out the fundamental differences between the two aforementioned modeling approaches, which are based on different philosophies despite some apparent similarities. The modeling results are in a qualitative agreement with the experimental results obtained from a single sheet tester for a representative commercially available grain-oriented electrical steel grade 0.27 mm thick.

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“…To derive an extension of hysteresis model to dynamic conditions, it might be necessary to identify a single parameter of the hysteresis model that controls coercive field strength, and subsequently to apply a functional dependence on frequency to this parameter [ 37 , 38 ]. A more sophisticated approach, behaving in accordance with Figure 3 b, may rely on the introduction of a rate-dependent term in the so-called “effective field”, accounting for coupling effects [ 39 , 40 ]. It is remarkable that this approach is able to describe the “gooseneck” effect shown in Figure 1 , cf.…”

Section: Introductionmentioning

confidence: 99%

The Effects of Sheet Thickness and Excitation Frequency on Hysteresis Loops of Non-Oriented Electrical Steel

Chwastek

2022

Sensors

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The paper focuses on modeling the rate dependence of hysteresis loops in conductive magnetic materials. The concept, which was advanced about fifty years ago by Chua, is discussed. It is shown that the viscous-type equation considered by Zirka and co-workers belongs to the class of Chua-type models. The dynamic effects are described with a simple fractional power law. The value of the exponent in the above-mentioned power law may be assessed on the basis of measurements of coercive field strength at different excitation frequencies. To verify the usefulness of the approach, the measurements of hysteresis loops were carried out at several excitation frequencies under standardized conditions for two grades of non-oriented electrical steel. The modeled curves are in a good correspondence with the measured ones. The considered model uses fewer parameters than approaches based on three-term loss separation schemes.

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Towards a unified approach to hysteresis and micromagnetics modeling: A dynamic extension to the Harrison model

Cited by 5 publications

References 42 publications

An Alternative Formulation of the Harrison Model

An Alternative Formulation of the Harrison Model

Modeling the Effect of Compressive Stress on Hysteresis Loop of Grain-Oriented Electrical Steel

The Effects of Sheet Thickness and Excitation Frequency on Hysteresis Loops of Non-Oriented Electrical Steel

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