Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades

Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades

This paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different non-oriented electrical steel g...

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Main Authors: Simon Steentjes, Martin Petrun, Gregor Glehn, Drago Dolinar, Kay Hameyer
Format: Article
Language:English
Published: AIP Publishing LLC 2017-05-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4975135
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spelling doaj-be0522ee93e04371a74db62866a6a3e52020-11-24T23:29:15ZengAIP Publishing LLCAIP Advances2158-32262017-05-0175056013056013-710.1063/1.4975135178791ADVSuitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel gradesSimon Steentjes0Martin Petrun1Gregor Glehn2Drago Dolinar3Kay Hameyer4Institute of Electrical Machines, RWTH Aachen University, D-52062 Aachen, GermanyInstitute of Power Engineering, FERI, University of Maribor, SI-2000 Maribor, SloveniaInstitute of Electrical Machines, RWTH Aachen University, D-52062 Aachen, GermanyInstitute of Power Engineering, FERI, University of Maribor, SI-2000 Maribor, SloveniaInstitute of Electrical Machines, RWTH Aachen University, D-52062 Aachen, GermanyThis paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different non-oriented electrical steel grades and one grain-oriented grade. Two standard non-oriented grades and a high-silicon grade (Si content of 6.5%) made by CVD are analyzed. An excellent match is obtained using the double Langevin function, whereas the classical solutions are less appropriate. Thereby, problems such as those due to propagation of approximation errors observed in hysteresis modeling can be bypassed.http://dx.doi.org/10.1063/1.4975135
collection DOAJ
language English
format Article
sources DOAJ
author Simon Steentjes
Martin Petrun
Gregor Glehn
Drago Dolinar
Kay Hameyer
spellingShingle Simon Steentjes
Martin Petrun
Gregor Glehn
Drago Dolinar
Kay Hameyer
Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
AIP Advances
author_facet Simon Steentjes
Martin Petrun
Gregor Glehn
Drago Dolinar
Kay Hameyer
author_sort Simon Steentjes
title Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
title_short Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
title_full Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
title_fullStr Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
title_full_unstemmed Suitability of the double Langevin function for description of anhysteretic magnetization curves in NO and GO electrical steel grades
title_sort suitability of the double langevin function for description of anhysteretic magnetization curves in no and go electrical steel grades
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2017-05-01
description This paper compares the match obtained using the classical Langevin function, the tanh function as well as a recently by the authors proposed double Langevin function with the measured anhysteretic magnetization curve of three different non-oriented electrical steel grades and one grain-oriented grade. Two standard non-oriented grades and a high-silicon grade (Si content of 6.5%) made by CVD are analyzed. An excellent match is obtained using the double Langevin function, whereas the classical solutions are less appropriate. Thereby, problems such as those due to propagation of approximation errors observed in hysteresis modeling can be bypassed.
url http://dx.doi.org/10.1063/1.4975135
work_keys_str_mv AT simonsteentjes suitabilityofthedoublelangevinfunctionfordescriptionofanhystereticmagnetizationcurvesinnoandgoelectricalsteelgrades
AT martinpetrun suitabilityofthedoublelangevinfunctionfordescriptionofanhystereticmagnetizationcurvesinnoandgoelectricalsteelgrades
AT gregorglehn suitabilityofthedoublelangevinfunctionfordescriptionofanhystereticmagnetizationcurvesinnoandgoelectricalsteelgrades
AT dragodolinar suitabilityofthedoublelangevinfunctionfordescriptionofanhystereticmagnetizationcurvesinnoandgoelectricalsteelgrades
AT kayhameyer suitabilityofthedoublelangevinfunctionfordescriptionofanhystereticmagnetizationcurvesinnoandgoelectricalsteelgrades
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