Dynamic hysteresis modelling

Zirka, S. E.; Moroz, Y.I.; Marketos, P.; Moses, Anthony John

doi:10.1016/j.physb.2003.08.036

Cited by 44 publications

(26 citation statements)

References 8 publications

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“…Actual steel sheets are neither perfectly flexible nor rigid; their eddy-current field is assumed to obey (9) Accordingly, can be generalized as (10) where is a constant and the function is simply denoted by . Zirka et al [11] proposed an ac hysteresis model that also has a more general form than (5) given by (11) where is a constant. An ac hysteresis model (5) using (10) or (11) is examined in this paper.…”

Section: B Generalized Modelmentioning

confidence: 99%

Simple modeling of the AC hysteretic property of a grain-oriented silicon steel sheet

Matsuo

Shimasaki

2006

IEEE Trans. Magn.

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A homogenized model based on the Pry and Bean model is generalized to represent the ac hysteretic characteristics of an actual grain-oriented silicon steel sheet. A parameter for the frequency dependence of eddy-current loss is introduced. The generalized model improves the evaluation accuracy of eddy-current loss and the representation of ac -loops under the condition of a sinusoidal magnetic flux. The generalized model also accurately represents ac -loops having minor loops.Index Terms-AC hysteresis, excess eddy-current loss, homogenization, Pry and Bean model.

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Section: B Generalized Modelmentioning

confidence: 99%

Simple modeling of the AC hysteretic property of a grain-oriented silicon steel sheet

Matsuo

Shimasaki

2006

IEEE Trans. Magn.

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“…One can also conceive of another type of model derived by decomposition of the classical eddy-current loss as follows [10]:…”

Section: Derivation Methodsmentioning

confidence: 99%

Several modeling methods for representation of AC magnetic properties of electrical steel sheets taking account of skin effect

Nagano¹,

Matsuo²,

Shimasaki

2011

Electrical Engineering Japan

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SUMMARYSeveral homogenized models are compared for accurate representation of the AC magnetic properties of silicon steel sheets. Two of them are the generalized Pry and Bean models, which have a parameter for the frequency dependence of eddy-current loss. The third model assumes a quadratic distribution of the magnetic flux density along the thickness direction. The other model is an extension of the linear magnetization model. Numerical simulations show that the third model yields inaccurate BH loops whereas the other models accurately represent BH loops.

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“…A promising candidate for further studies would be the viscous-type equation advanced by Zirka et al (2004Zirka et al ( , 2005Zirka et al ( , 2008. The essence of this approach is a formulation similar to the relationship equation (5), but expressed with a coefficient variable on the induction level and a power law dependence equation (7):…”

Section: Hysteresis Curves Of a Rswtmentioning

confidence: 99%

Hysteresis curves of a resistance spot welding transformer

Petrun

Chwastek

Dolinar

2013

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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PurposeThe aim of the paper is to provide a simple and reliable hysteresis model for prediction of magnetization curves of a resistance spot welding transformer (RSWT) core, operating in a wide range of flux densities and excitation frequencies.Design/methodology/approachThe hysteresis model considered in the paper is the T(x) description advanced by J. Takács. Three options to extend the model to the dynamic magnetization conditions are considered. The excitation conditions differ from those prescribed by international standards.FindingsThe quasi‐static Takács model combined with a fractional viscosity equation similar to that proposed by S.E. Zirka outperforms other considered options. The effect of eddy currents may be considered as a disturbance factor to the frequency‐independent quasi‐static hysteresis loop.Research limitations/implicationsThe combined approach yields in most cases a satisfactory agreement between theory and experiment. For highest frequency considered in the paper (1 kHz) excessive “heels” were observed in the modelled loops. This artifact may be reduced by the introduction of a more complicated relationship for the viscous term. Future work shall be devoted to this issue.Practical implicationsThe combined Takács‐Zirka model is a useful tool for prediction of magnetization curves of a RSWT core in a wide range of flux densities and excitation frequencies.Originality/valueThe usefulness of the Takács description has been verified in a practical application. The model is able to predict magnetization curves under non‐standard excitation conditions.

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Dynamic hysteresis modelling

Cited by 44 publications

References 8 publications

Simple modeling of the AC hysteretic property of a grain-oriented silicon steel sheet

Simple modeling of the AC hysteretic property of a grain-oriented silicon steel sheet

Several modeling methods for representation of AC magnetic properties of electrical steel sheets taking account of skin effect

Hysteresis curves of a resistance spot welding transformer

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