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Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method

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Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method. / Martin, Floran; Singh, Deepak; Rasilo, Paavo; Belahcen, Anouar; Arkkio, Antero.

In: IEEE Transactions on Magnetics, Vol. 52, No. 3, 7002704, 2016.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

Martin, F, Singh, D, Rasilo, P, Belahcen, A & Arkkio, A 2016, 'Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method', IEEE Transactions on Magnetics, vol. 52, no. 3, 7002704. https://doi.org/10.1109/TMAG.2015.2488100

APA

Martin, F., Singh, D., Rasilo, P., Belahcen, A., & Arkkio, A. (2016). Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method. IEEE Transactions on Magnetics, 52(3), [7002704]. https://doi.org/10.1109/TMAG.2015.2488100

Vancouver

Martin F, Singh D, Rasilo P, Belahcen A, Arkkio A. Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method. IEEE Transactions on Magnetics. 2016;52(3). 7002704. https://doi.org/10.1109/TMAG.2015.2488100

Author

Martin, Floran ; Singh, Deepak ; Rasilo, Paavo ; Belahcen, Anouar ; Arkkio, Antero. / Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method. In: IEEE Transactions on Magnetics. 2016 ; Vol. 52, No. 3.

Bibtex - Download

@article{d78dbd5fc4ba4b0baed41725cadf1449,
title = "Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method",
abstract = "Even non-oriented steel sheets present a magnetic anisotropic behavior. From rotational flux density measurements at 5 Hz, the model of magnetic anisotropy is derived from two surface Basis-cubic splines with the boundary conditions matching with ferromagnetic theory. Furthermore, the investigation of the magnetic anisotropy shows that the H(B) characteristic is not strictlymonotonous due to the angle difference between the field and the flux density. Hence, standard non-linear solvers would either diverge or converge towards the closest local minimum. Thus, we propose two different specific solvers: a combined Particle Swarm Optimization with a relaxed Newton-Raphson and a Modified Newton Method.",
keywords = "magnetic anisotropy, modified Newton method, Newton-Raphson, non-oriented steel sheet, particle swarm optimization, surface basis-cubic spline",
author = "Floran Martin and Deepak Singh and Paavo Rasilo and Anouar Belahcen and Antero Arkkio",
year = "2016",
doi = "10.1109/TMAG.2015.2488100",
language = "English",
volume = "52",
journal = "IEEE Transactions on Magnetics",
issn = "0018-9464",
publisher = "Institute of Electrical and Electronics Engineers",
number = "3",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method

AU - Martin, Floran

AU - Singh, Deepak

AU - Rasilo, Paavo

AU - Belahcen, Anouar

AU - Arkkio, Antero

PY - 2016

Y1 - 2016

N2 - Even non-oriented steel sheets present a magnetic anisotropic behavior. From rotational flux density measurements at 5 Hz, the model of magnetic anisotropy is derived from two surface Basis-cubic splines with the boundary conditions matching with ferromagnetic theory. Furthermore, the investigation of the magnetic anisotropy shows that the H(B) characteristic is not strictlymonotonous due to the angle difference between the field and the flux density. Hence, standard non-linear solvers would either diverge or converge towards the closest local minimum. Thus, we propose two different specific solvers: a combined Particle Swarm Optimization with a relaxed Newton-Raphson and a Modified Newton Method.

AB - Even non-oriented steel sheets present a magnetic anisotropic behavior. From rotational flux density measurements at 5 Hz, the model of magnetic anisotropy is derived from two surface Basis-cubic splines with the boundary conditions matching with ferromagnetic theory. Furthermore, the investigation of the magnetic anisotropy shows that the H(B) characteristic is not strictlymonotonous due to the angle difference between the field and the flux density. Hence, standard non-linear solvers would either diverge or converge towards the closest local minimum. Thus, we propose two different specific solvers: a combined Particle Swarm Optimization with a relaxed Newton-Raphson and a Modified Newton Method.

KW - magnetic anisotropy

KW - modified Newton method

KW - Newton-Raphson

KW - non-oriented steel sheet

KW - particle swarm optimization

KW - surface basis-cubic spline

U2 - 10.1109/TMAG.2015.2488100

DO - 10.1109/TMAG.2015.2488100

M3 - Article

VL - 52

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

SN - 0018-9464

IS - 3

M1 - 7002704

ER -