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

Floran Martin; Deepak Singh; Paavo Rasilo; Anouar Belahcen; Antero Arkkio

doi:10.1109/TMAG.2015.2488100

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

Floran Martin, Deepak Singh, Paavo Rasilo, Anouar Belahcen, Antero Arkkio

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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 strictly
monotonous 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.

Original language	English
Article number	7002704
Journal	IEEE Transactions on Magnetics
Volume	52
Issue number	3
Early online date	2015
DOIs	https://doi.org/10.1109/TMAG.2015.2488100
Publication status	Published - 2016
Publication type	A1 Journal article-refereed

Keywords

magnetic anisotropy
modified Newton method
Newton-Raphson
non-oriented steel sheet
particle swarm optimization
surface basis-cubic spline

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10.1109/TMAG.2015.2488100

Model of Magnetic Anisotropy of Non-Oriented Steel Sheets for Finite Element Method
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http://urn.fi/URN:NBN:fi:tty-201605033914

Cite this

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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.",

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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

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KW - Newton-Raphson

KW - non-oriented steel sheet

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DO - 10.1109/TMAG.2015.2488100

M3 - Article

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

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M1 - 7002704

ER -

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

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