A finite element method for modelling of anisotropic grain-oriented steels

Shirkoohi, G.H.; Liu, J.

doi:10.1109/20.312500

Cited by 18 publications

(10 citation statements)

References 3 publications

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“…The steel with anisotropic magnetic properties is manly used in the machinery industry for construction e.g. transformers or electric motors [6][7][8][9][10]. Considering the relationship between magnetic and mechanical properties of steel, the evaluation of magnetic anisotropy is also used in the process of mechanical state assessment [8].…”

Section: Introductionmentioning

confidence: 99%

Time-Frequency Analysis of Barkhausen Noise for the Needs of Anisotropy Evaluation of Grain-Oriented Steels

Maciusowicz

Psuj

2020

Sensors

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The paper presents a new approach to obtain information on magnetic anisotropy in Si–Fe grain oriented ferromagnetic steel based on the observation of the magnetic Barkhausen noise (MBN). Until now, in the literature one can only notice the MBN study of magnetic anisotropy in steels carried out in a single time or frequency domain. However, due to the observed high variability of the dynamics of the MBN phenomenon over its occurrence period, depending on the steel properties, the idea of utilization of combined time and frequency representations to obtain new or supplementary information arises. For this purpose, the MBN phenomenon was observed in various directions for steels with oriented magnetic properties. Then, using the short-time Fourier transform, time-frequency (TF) distributions were determined and features vectors enabling the quantification of crucial information were determined. Before performing the final experiments, a series of tests were carried out for different measuring conditions. As a result, it was possible to adjust the conditions enabling us to obtain the highest possible sensitivity for MBN and discrimination level between directional properties in the material. Then, an algorithm of detailed analysis and division of the TF representation into subranges was proposed, enabling the extraction of more detailed information about the phenomena occurring during the magnetization process. This allowed us to clearly indicate and then separate three areas of MBN main activity. Finally, the obtained angular distributions of selected features were presented and discussed, and further conclusions were given.

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Section: Introductionmentioning

confidence: 99%

Time-Frequency Analysis of Barkhausen Noise for the Needs of Anisotropy Evaluation of Grain-Oriented Steels

Maciusowicz

Psuj

2020

Sensors

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“…For example, an elliptical model [36] is used in [22], [29], and widely different approaches are employed in 1151, [23], [481, [49]; whereas anisotropy is not taken into account in [201, [211, [41], [43], 1451. In more recent works [2], [41], it is claimed that for accurate representation of the materials, a large number of B-H characteristics is required instead of the three usually considered at RD, hard direction (HD), and transverse direction (TD). It seems that the simultaneous consideration of saturation, hysteresis, anisotropy, and inhomogeneity of transformer core is still complex and requires expensive simulations.…”

Section: Numerical Model Restrictionsmentioning

confidence: 99%

Anisotropy in three-phase transformer circuit model

Elleuch

Poloujadoff²

1997

IEEE Trans. Magn.

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Abstruct-In this paper, an important discussion of transformer design and modeling is given. Afterwards, the anisotropy effects of the transformer laminations have been stressed in light of the investigation of a three-phase three-limb transformer Tjoint. Three simple T-joint modeling schemes accounting for the lamination anisotropy are proposed. The fundamental result is that the flux lines remain almost parallel to the rolling direction (RD), except in a small area around the T-joint. Therefore, transformer yokes and limbs have been divided into longitudinal elements according to the RD. Reluctances related to these elements are connected according to the magnetic circuit coupling and yield a new transformer circuit model. A good agreement is obtained between computed and measured transients currents. Furthermore, the new transformer model enables some localized analysis. The computed localized fluxes and loci of flux density vectors near to the T-joint exhibit a satisfactory agreement with many results based on FEM or experimental investigations.Zndex Terms-Grain-oriented steels, transformer.

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“…The following non-exhaustive literature review considers applications dedicated to finite element formulation. Since the magnetic anisotropy infers a dependence of reluctivity on both amplitude and direction of the applied flux density, its model can be developed by interpolating between two adjacent measured B-H curves (Shirkoohi and Liu, 1994). Under rotational applied flux density, Enokizono and Soda (1995) develop a Garlerkin's formulation based on the decomposition of the magnetic field into a purely rotational field (isotropic) and an effective field (anisotropic).…”

Section: Introductionmentioning

confidence: 99%

Analytical model for magnetic anisotropy of non-oriented steel sheets

Martin

Singh

Belahcen

et al. 2015

COMPEL

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Purpose – Recent investigations on magnetic properties of non-oriented (NO) steel sheets enhance the comprehension of the magnetic anisotropy behaviour of widely employed electrical sheets. The concept of energy/coenergy density can be employed to model these magnetic properties. However, it usually presents an implicit form which requires an iterative process. The purpose of this paper is to develop an analytical model to consider these magnetic properties with an explicit formulation in order to ease the computations. Design/methodology/approach – From rotational measurements, the anhysteretic curves are interpolated in order to extract the magnetic energy density for different directions and amplitudes of the magnetic flux density. Furthermore, the analytical representation of this energy is suggested based on statistical distribution which aims to minimize the intrinsic energy of the material. The model is finally validated by comparing measured and computed values of the magnetic field strength. Findings – The proposed model is based on an analytical formulation of the energy depending on the components of the magnetic flux density. This formulation is composed of three Gumbel distributions. Every functional parameters of energy density is formulated with only four parameters which are calculated by fitting the energy extracted from measurements. Finally, the proposed model is validated by comparing the computation and the measurements of 9 H loci for NO steel sheets at 10 Hz. The proposed analytical model shows good agreements with an average relative error of 27 per cent. Originality/value – The paper presents an original analytical method to model magnetic anisotropy for NO electrical sheets. With this analytical formulation, the determination of H does not require any iterative process as it is usually the case with this energy method coupled with implicit function. This method can be easily incorporated in finite element method since it does not require any extra iterative process.

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A finite element method for modelling of anisotropic grain-oriented steels

Cited by 18 publications

References 3 publications

Time-Frequency Analysis of Barkhausen Noise for the Needs of Anisotropy Evaluation of Grain-Oriented Steels

Time-Frequency Analysis of Barkhausen Noise for the Needs of Anisotropy Evaluation of Grain-Oriented Steels

Anisotropy in three-phase transformer circuit model

Analytical model for magnetic anisotropy of non-oriented steel sheets

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