Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry

Hang Lei; Xiaonan Zhu; Haoran Wang; Junxingxu Chen; Qi Liu; Chunping Niu; Lei Wang; Fei Yang

doi:10.1007/978-981-33-6606-0_56

Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry

Hang Lei
, Xiaonan Zhu
, Haoran Wang
, Junxingxu Chen
, Qi Liu
, Chunping Niu
, Lei Wang
, Fei Yang

电子与信息学部

Xi'an Jiaotong University
State Grid Corporation of China
State Grid Beijing Electric Power Company

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

1 引用（Scopus）

摘要

Electrical contact is an important part of electromechanical equipment. The performance of electrical contact has an important impact on the overall reliability of the system. Based on the study of the topological characteristics of fractal rough surfaces and the elastic–plastic deformation behavior of rough bodies, a theoretical model of electric contact is established by introducing a mathematical description of contact resistance which takes into account the effect of nano-scale. The corresponding relationship among contact area, contact pressure and compression displacement of asperities is obtained. The accuracy of fractal electrical contact model has been greatly improved. It is satisfactory in the field of precision instruments and analysis of the microscopic mechanism of electrical contacts. The model is used to qualitatively analyze the influence of different factors on contact resistance. The results show that the fractal parameters of rough surfaces influence the electrical contact according to some general rules. The mechanism of influencing factors is analyzed.

源语言	英语
主期刊名	The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering
编辑	Weiming Ma, Mingzhe Rong, Fei Yang, Wenfeng Liu, Shuhong Wang, Gengfeng Li
出版商	Springer Science and Business Media Deutschland GmbH
页	617-628
页数	12
ISBN（印刷版）	9789813366053
DOI	https://doi.org/10.1007/978-981-33-6606-0_56
出版状态	已出版 - 2021
活动	9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020 - Xi’an, 中国期限: 25 8月 2020 → 28 8月 2020

出版系列

姓名	Lecture Notes in Electrical Engineering
卷	742 LNEE
ISSN（印刷版）	1876-1100
ISSN（电子版）	1876-1119

会议

会议	9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020
国家/地区	中国
市	Xi’an
时期	25/08/20 → 28/08/20

访问文件

10.1007/978-981-33-6606-0_56

其它文件与链接

链接到 Scopus 的出版物

引用此

Lei, H., Zhu, X., Wang, H., Chen, J., Liu, Q., Niu, C., Wang, L., & Yang, F. (2021). Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry. 在 W. Ma, M. Rong, F. Yang, W. Liu, S. Wang, & G. Li (编辑), The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering (页码 617-628). (Lecture Notes in Electrical Engineering; 卷 742 LNEE). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-33-6606-0_56

Lei, Hang ; Zhu, Xiaonan ; Wang, Haoran 等. / Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry. The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. 编辑 / Weiming Ma ; Mingzhe Rong ; Fei Yang ; Wenfeng Liu ; Shuhong Wang ; Gengfeng Li. Springer Science and Business Media Deutschland GmbH, 2021. 页码 617-628 (Lecture Notes in Electrical Engineering).

@inproceedings{da65c02633294dc6b824366f0b49b42b,

title = "Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry",

abstract = "Electrical contact is an important part of electromechanical equipment. The performance of electrical contact has an important impact on the overall reliability of the system. Based on the study of the topological characteristics of fractal rough surfaces and the elastic–plastic deformation behavior of rough bodies, a theoretical model of electric contact is established by introducing a mathematical description of contact resistance which takes into account the effect of nano-scale. The corresponding relationship among contact area, contact pressure and compression displacement of asperities is obtained. The accuracy of fractal electrical contact model has been greatly improved. It is satisfactory in the field of precision instruments and analysis of the microscopic mechanism of electrical contacts. The model is used to qualitatively analyze the influence of different factors on contact resistance. The results show that the fractal parameters of rough surfaces influence the electrical contact according to some general rules. The mechanism of influencing factors is analyzed.",

keywords = "Asperities, Electrical contact, Fractal parameters",

author = "Hang Lei and Xiaonan Zhu and Haoran Wang and Junxingxu Chen and Qi Liu and Chunping Niu and Lei Wang and Fei Yang",

note = "Publisher Copyright: {\textcopyright} 2021, Beijing Oriental Sun Cult. Comm. CO Ltd.; 9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020 ; Conference date: 25-08-2020 Through 28-08-2020",

year = "2021",

doi = "10.1007/978-981-33-6606-0\_56",

language = "英语",

isbn = "9789813366053",

series = "Lecture Notes in Electrical Engineering",

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

pages = "617--628",

editor = "Weiming Ma and Mingzhe Rong and Fei Yang and Wenfeng Liu and Shuhong Wang and Gengfeng Li",

booktitle = "The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering",

}

Lei, H, Zhu, X, Wang, H, Chen, J, Liu, Q, Niu, C, Wang, L & Yang, F 2021, Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry. 在 W Ma, M Rong, F Yang, W Liu, S Wang & G Li (编辑), The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. Lecture Notes in Electrical Engineering, 卷 742 LNEE, Springer Science and Business Media Deutschland GmbH, 页码 617-628, 9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020, Xi’an, 中国, 25/08/20. https://doi.org/10.1007/978-981-33-6606-0_56

Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry. / Lei, Hang; Zhu, Xiaonan; Wang, Haoran 等.
The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. 编辑 / Weiming Ma; Mingzhe Rong; Fei Yang; Wenfeng Liu; Shuhong Wang; Gengfeng Li. Springer Science and Business Media Deutschland GmbH, 2021. 页码 617-628 (Lecture Notes in Electrical Engineering; 卷 742 LNEE).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry

AU - Lei, Hang

AU - Zhu, Xiaonan

AU - Wang, Haoran

AU - Chen, Junxingxu

AU - Liu, Qi

AU - Niu, Chunping

AU - Wang, Lei

AU - Yang, Fei

PY - 2021

Y1 - 2021

N2 - Electrical contact is an important part of electromechanical equipment. The performance of electrical contact has an important impact on the overall reliability of the system. Based on the study of the topological characteristics of fractal rough surfaces and the elastic–plastic deformation behavior of rough bodies, a theoretical model of electric contact is established by introducing a mathematical description of contact resistance which takes into account the effect of nano-scale. The corresponding relationship among contact area, contact pressure and compression displacement of asperities is obtained. The accuracy of fractal electrical contact model has been greatly improved. It is satisfactory in the field of precision instruments and analysis of the microscopic mechanism of electrical contacts. The model is used to qualitatively analyze the influence of different factors on contact resistance. The results show that the fractal parameters of rough surfaces influence the electrical contact according to some general rules. The mechanism of influencing factors is analyzed.

AB - Electrical contact is an important part of electromechanical equipment. The performance of electrical contact has an important impact on the overall reliability of the system. Based on the study of the topological characteristics of fractal rough surfaces and the elastic–plastic deformation behavior of rough bodies, a theoretical model of electric contact is established by introducing a mathematical description of contact resistance which takes into account the effect of nano-scale. The corresponding relationship among contact area, contact pressure and compression displacement of asperities is obtained. The accuracy of fractal electrical contact model has been greatly improved. It is satisfactory in the field of precision instruments and analysis of the microscopic mechanism of electrical contacts. The model is used to qualitatively analyze the influence of different factors on contact resistance. The results show that the fractal parameters of rough surfaces influence the electrical contact according to some general rules. The mechanism of influencing factors is analyzed.

KW - Asperities

KW - Electrical contact

KW - Fractal parameters

UR - https://www.scopus.com/pages/publications/85105954818

U2 - 10.1007/978-981-33-6606-0_56

DO - 10.1007/978-981-33-6606-0_56

M3 - 会议稿件

AN - SCOPUS:85105954818

SN - 9789813366053

T3 - Lecture Notes in Electrical Engineering

SP - 617

EP - 628

BT - The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering

A2 - Ma, Weiming

A2 - Rong, Mingzhe

A2 - Yang, Fei

A2 - Liu, Wenfeng

A2 - Wang, Shuhong

A2 - Li, Gengfeng

PB - Springer Science and Business Media Deutschland GmbH

T2 - 9th Frontier Academic Forum of Electrical Engineering, FAFEE 2020

Y2 - 25 August 2020 through 28 August 2020

ER -

Lei H, Zhu X, Wang H, Chen J, Liu Q, Niu C 等. Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry. 在 Ma W, Rong M, Yang F, Liu W, Wang S, Li G, 编辑, The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering. Springer Science and Business Media Deutschland GmbH. 2021. 页码 617-628. (Lecture Notes in Electrical Engineering). doi: 10.1007/978-981-33-6606-0_56

Investigation on Mathematical Model of Electric Contact Based on Fractal Geometry

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