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

Tutkimustuotos: Artikkeli › Tieteellinen › vertaisarvioitu

18 Sitaatiot (Scopus)

118 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Artikkeli	7002704
Julkaisu	IEEE Transactions on Magnetics
Vuosikerta	52
Numero	3
Varhainen verkossa julkaisun päivämäärä	2015
DOI - pysyväislinkit	https://doi.org/10.1109/TMAG.2015.2488100
Tila	Julkaistu - 2016
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Julkaisufoorumi-taso

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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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Accepted author manuscript, 885 KB

http://urn.fi/URN:NBN:fi:tty-201605033914

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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 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.

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 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.

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

SN - 0018-9464

VL - 52

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 3

M1 - 7002704

ER -

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

Abstrakti

Julkaisufoorumi-taso

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