A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels

Reza Zeinali; Dave Krop; Elena Lomonova

doi:10.1109/ISEF45929.2019.9097056

A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels

Reza Zeinali, Dave Krop, Elena Lomonova

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

1 Downloads (Pure)

Abstract

A new mathematical procedure is proposed to solve the dynamic hysteresis model of laminated steel considering the static hysteresis, eddy current field and excess field. The Preisach model with an analytic weight function is used for modelling static hysteresis. The eddy current field and the static hysteresis are coupled by the 1-D penetration equation and the well-known Bertotti empirical equation is used to model the excess field effect. In order to avoid inverting the Preisach model, the dynamic model is solved for unknown field strength using a mesh free approach. In this approach, the eddy current magnetic field strength over the lamination thickness is approximated by a Fourier series. The coefficients of the Fourier series are obtained by solving a system of nonlinear equations using Newton-Raphson.

Original language	English
Title of host publication	2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF)
Publisher	Institute of Electrical and Electronics Engineers
Number of pages	2
ISBN (Electronic)	978-1-7281-1560-3
DOIs	https://doi.org/10.1109/ISEF45929.2019.9097056
Publication status	Published - 20 May 2020
Event	19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2019 - Prouvé Congress Center, Nancy, France Duration: 29 Aug 2019 → 31 Aug 2019 Conference number: 19 https://isef2019.sciencesconf.org/

Conference

Conference	19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2019
Abbreviated title	ISEF 2019
Country/Territory	France
City	Nancy
Period	29/08/19 → 31/08/19
Internet address	https://isef2019.sciencesconf.org/

Keywords

Core losses
dynamic model
ferromagnetic materials
Fourier series
Preisach model

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10.1109/ISEF45929.2019.9097056

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title = "A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels",

abstract = "A new mathematical procedure is proposed to solve the dynamic hysteresis model of laminated steel considering the static hysteresis, eddy current field and excess field. The Preisach model with an analytic weight function is used for modelling static hysteresis. The eddy current field and the static hysteresis are coupled by the 1-D penetration equation and the well-known Bertotti empirical equation is used to model the excess field effect. In order to avoid inverting the Preisach model, the dynamic model is solved for unknown field strength using a mesh free approach. In this approach, the eddy current magnetic field strength over the lamination thickness is approximated by a Fourier series. The coefficients of the Fourier series are obtained by solving a system of nonlinear equations using Newton-Raphson.",

keywords = "Core losses, dynamic model, ferromagnetic materials, Fourier series, Preisach model",

author = "Reza Zeinali and Dave Krop and Elena Lomonova",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2019, ISEF 2019 ; Conference date: 29-08-2019 Through 31-08-2019",

year = "2020",

month = may,

day = "20",

doi = "10.1109/ISEF45929.2019.9097056",

language = "English",

booktitle = "2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

url = "https://isef2019.sciencesconf.org/",

}

Zeinali, R , Krop, D & Lomonova, E 2020, A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels. in 2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF)., 9097056, Institute of Electrical and Electronics Engineers, 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2019, Nancy, France, 29/08/19. https://doi.org/10.1109/ISEF45929.2019.9097056

A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels. / Zeinali, Reza ; Krop, Dave ; Lomonova, Elena.
2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF). Institute of Electrical and Electronics Engineers, 2020. 9097056.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels

AU - Zeinali, Reza

AU - Krop, Dave

AU - Lomonova, Elena

N1 - Conference code: 19

PY - 2020/5/20

Y1 - 2020/5/20

N2 - A new mathematical procedure is proposed to solve the dynamic hysteresis model of laminated steel considering the static hysteresis, eddy current field and excess field. The Preisach model with an analytic weight function is used for modelling static hysteresis. The eddy current field and the static hysteresis are coupled by the 1-D penetration equation and the well-known Bertotti empirical equation is used to model the excess field effect. In order to avoid inverting the Preisach model, the dynamic model is solved for unknown field strength using a mesh free approach. In this approach, the eddy current magnetic field strength over the lamination thickness is approximated by a Fourier series. The coefficients of the Fourier series are obtained by solving a system of nonlinear equations using Newton-Raphson.

AB - A new mathematical procedure is proposed to solve the dynamic hysteresis model of laminated steel considering the static hysteresis, eddy current field and excess field. The Preisach model with an analytic weight function is used for modelling static hysteresis. The eddy current field and the static hysteresis are coupled by the 1-D penetration equation and the well-known Bertotti empirical equation is used to model the excess field effect. In order to avoid inverting the Preisach model, the dynamic model is solved for unknown field strength using a mesh free approach. In this approach, the eddy current magnetic field strength over the lamination thickness is approximated by a Fourier series. The coefficients of the Fourier series are obtained by solving a system of nonlinear equations using Newton-Raphson.

KW - Core losses

KW - dynamic model

KW - ferromagnetic materials

KW - Fourier series

KW - Preisach model

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U2 - 10.1109/ISEF45929.2019.9097056

DO - 10.1109/ISEF45929.2019.9097056

M3 - Conference contribution

AN - SCOPUS:85085729091

BT - 2019 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF)

PB - Institute of Electrical and Electronics Engineers

T2 - 19th International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering, ISEF 2019

Y2 - 29 August 2019 through 31 August 2019

ER -

A Mesh-Free Dynamic Magnetic Model Applied to Non-Oriented Laminated Steels

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