Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER

Chenfei Yu; Jiaxin You; Lei Niu; Yuexian Li; Libing Shi; Xiaochen Yang

doi:10.1007/978-981-95-7334-9_22

Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER

Chenfei Yu
, Jiaxin You
, Lei Niu^*
, Yuexian Li
, Libing Shi
, Xiaochen Yang

^*Corresponding author for this work

School of Electrical Engineering and Automation

Harbin Institute of Technology
Ltd

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

Abstract

The hysteresis modeling of ferromagnetic materials in electrical equipment such as Hermetically Sealed Electromagnetic Relay (HSER) is one of the fundamental theoretical studies in the field of electrical engineering. Long training time and poor accuracy are the main challenges faced by traditional hysteresis models. A Boltzmann Preisach hybrid model is proposed by combining the principle of minimizing magnetic domain energy with the Preisach model. The state equation of magnetic domain total energy is derived from the principle of minimizing magnetic domain energy, and the genetic algorithm is used to obtain the minimum value of magnetic domain total energy, corresponding magnetization vector, and magnetic domain occurrence probability. By minimizing the energy of magnetic domains, the distribution function of the Preisach model can be determined, which can compensate for the difficulty in determining unknown parameters and large computational complexity of the Preisach classical model distribution function. At the same time, it saves computation time and ensures the stability of the results.

Original language	English
Title of host publication	The Proceedings of the 20th Annual Conference of China Electrotechnical Society
Editors	Qingxin Yang, Dianguo Xu, Xuerong Ye, Qiuyue Nie, Yueshi Guan
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	214-223
Number of pages	10
ISBN (Print)	9789819573332
DOIs	https://doi.org/10.1007/978-981-95-7334-9_22
State	Published - 2026
Event	20th Annual Conference of China Electrotechnical Society, ACCES 2025 - Harbin, China Duration: 19 Sep 2025 → 21 Sep 2025

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	1564 LNEE
ISSN (Print)	1876-1100
ISSN (Electronic)	1876-1119

Conference

Conference	20th Annual Conference of China Electrotechnical Society, ACCES 2025
Country/Territory	China
City	Harbin
Period	19/09/25 → 21/09/25

Keywords

Boltzmann function
Hysteresis model
Preisach model
energy minimization

Access to Document

10.1007/978-981-95-7334-9_22

Cite this

Yu, C., You, J., Niu, L., Li, Y., Shi, L., & Yang, X. (2026). Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER. In Q. Yang, D. Xu, X. Ye, Q. Nie, & Y. Guan (Eds.), The Proceedings of the 20th Annual Conference of China Electrotechnical Society (pp. 214-223). (Lecture Notes in Electrical Engineering; Vol. 1564 LNEE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-95-7334-9_22

Yu, Chenfei ; You, Jiaxin ; Niu, Lei et al. / Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER. The Proceedings of the 20th Annual Conference of China Electrotechnical Society. editor / Qingxin Yang ; Dianguo Xu ; Xuerong Ye ; Qiuyue Nie ; Yueshi Guan. Springer Science and Business Media Deutschland GmbH, 2026. pp. 214-223 (Lecture Notes in Electrical Engineering).

@inproceedings{e1b35845cb014719980a2bb6c56d7fb3,

title = "Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER",

abstract = "The hysteresis modeling of ferromagnetic materials in electrical equipment such as Hermetically Sealed Electromagnetic Relay (HSER) is one of the fundamental theoretical studies in the field of electrical engineering. Long training time and poor accuracy are the main challenges faced by traditional hysteresis models. A Boltzmann Preisach hybrid model is proposed by combining the principle of minimizing magnetic domain energy with the Preisach model. The state equation of magnetic domain total energy is derived from the principle of minimizing magnetic domain energy, and the genetic algorithm is used to obtain the minimum value of magnetic domain total energy, corresponding magnetization vector, and magnetic domain occurrence probability. By minimizing the energy of magnetic domains, the distribution function of the Preisach model can be determined, which can compensate for the difficulty in determining unknown parameters and large computational complexity of the Preisach classical model distribution function. At the same time, it saves computation time and ensures the stability of the results.",

keywords = "Boltzmann function, Hysteresis model, Preisach model, energy minimization",

author = "Chenfei Yu and Jiaxin You and Lei Niu and Yuexian Li and Libing Shi and Xiaochen Yang",

note = "Publisher Copyright: {\textcopyright} Beijing Paike Culture Commu. Co., Ltd. 2026.; 20th Annual Conference of China Electrotechnical Society, ACCES 2025 ; Conference date: 19-09-2025 Through 21-09-2025",

year = "2026",

doi = "10.1007/978-981-95-7334-9\_22",

language = "英语",

isbn = "9789819573332",

series = "Lecture Notes in Electrical Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "214--223",

editor = "Qingxin Yang and Dianguo Xu and Xuerong Ye and Qiuyue Nie and Yueshi Guan",

booktitle = "The Proceedings of the 20th Annual Conference of China Electrotechnical Society",

address = "德国",

}

Yu, C, You, J, Niu, L, Li, Y, Shi, L & Yang, X 2026, Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER. in Q Yang, D Xu, X Ye, Q Nie & Y Guan (eds), The Proceedings of the 20th Annual Conference of China Electrotechnical Society. Lecture Notes in Electrical Engineering, vol. 1564 LNEE, Springer Science and Business Media Deutschland GmbH, pp. 214-223, 20th Annual Conference of China Electrotechnical Society, ACCES 2025, Harbin, China, 19/09/25. https://doi.org/10.1007/978-981-95-7334-9_22

Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER. / Yu, Chenfei; You, Jiaxin; Niu, Lei et al.
The Proceedings of the 20th Annual Conference of China Electrotechnical Society. ed. / Qingxin Yang; Dianguo Xu; Xuerong Ye; Qiuyue Nie; Yueshi Guan. Springer Science and Business Media Deutschland GmbH, 2026. p. 214-223 (Lecture Notes in Electrical Engineering; Vol. 1564 LNEE).

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

TY - GEN

T1 - Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER

AU - Yu, Chenfei

AU - You, Jiaxin

AU - Niu, Lei

AU - Li, Yuexian

AU - Shi, Libing

AU - Yang, Xiaochen

N1 - Publisher Copyright: © Beijing Paike Culture Commu. Co., Ltd. 2026.

PY - 2026

Y1 - 2026

N2 - The hysteresis modeling of ferromagnetic materials in electrical equipment such as Hermetically Sealed Electromagnetic Relay (HSER) is one of the fundamental theoretical studies in the field of electrical engineering. Long training time and poor accuracy are the main challenges faced by traditional hysteresis models. A Boltzmann Preisach hybrid model is proposed by combining the principle of minimizing magnetic domain energy with the Preisach model. The state equation of magnetic domain total energy is derived from the principle of minimizing magnetic domain energy, and the genetic algorithm is used to obtain the minimum value of magnetic domain total energy, corresponding magnetization vector, and magnetic domain occurrence probability. By minimizing the energy of magnetic domains, the distribution function of the Preisach model can be determined, which can compensate for the difficulty in determining unknown parameters and large computational complexity of the Preisach classical model distribution function. At the same time, it saves computation time and ensures the stability of the results.

AB - The hysteresis modeling of ferromagnetic materials in electrical equipment such as Hermetically Sealed Electromagnetic Relay (HSER) is one of the fundamental theoretical studies in the field of electrical engineering. Long training time and poor accuracy are the main challenges faced by traditional hysteresis models. A Boltzmann Preisach hybrid model is proposed by combining the principle of minimizing magnetic domain energy with the Preisach model. The state equation of magnetic domain total energy is derived from the principle of minimizing magnetic domain energy, and the genetic algorithm is used to obtain the minimum value of magnetic domain total energy, corresponding magnetization vector, and magnetic domain occurrence probability. By minimizing the energy of magnetic domains, the distribution function of the Preisach model can be determined, which can compensate for the difficulty in determining unknown parameters and large computational complexity of the Preisach classical model distribution function. At the same time, it saves computation time and ensures the stability of the results.

KW - Boltzmann function

KW - Hysteresis model

KW - Preisach model

KW - energy minimization

UR - https://www.scopus.com/pages/publications/105039308954

U2 - 10.1007/978-981-95-7334-9_22

DO - 10.1007/978-981-95-7334-9_22

M3 - 会议稿件

AN - SCOPUS:105039308954

SN - 9789819573332

T3 - Lecture Notes in Electrical Engineering

SP - 214

EP - 223

BT - The Proceedings of the 20th Annual Conference of China Electrotechnical Society

A2 - Yang, Qingxin

A2 - Xu, Dianguo

A2 - Ye, Xuerong

A2 - Nie, Qiuyue

A2 - Guan, Yueshi

PB - Springer Science and Business Media Deutschland GmbH

T2 - 20th Annual Conference of China Electrotechnical Society, ACCES 2025

Y2 - 19 September 2025 through 21 September 2025

ER -

Yu C, You J, Niu L, Li Y, Shi L, Yang X. Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER. In Yang Q, Xu D, Ye X, Nie Q, Guan Y, editors, The Proceedings of the 20th Annual Conference of China Electrotechnical Society. Springer Science and Business Media Deutschland GmbH. 2026. p. 214-223. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-981-95-7334-9_22

Boltzmann Preisach hybrid hysteresis model based on magnetic domain energy minimization for HSER

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Keywords

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