Inversion Method of Lightning Current Distribution on a Surface Conductor Represented by Thin Lines

Authors

  • Zemin Duan School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China
  • Chen Tong School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China
  • Yeyuan Huang National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China
  • Xinping Li School of Mathematics Hunan Institute of Science and Technology, Yueyang 414006, China
  • Shanliang Qiu National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China
  • Xiaoliang Si National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China
  • Yan Wei School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China
  • Yao Ling School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China

DOI:

https://doi.org/10.13052/2025.ACES.J.400309

Keywords:

Lightning current distribution, magnetic field distribution, partial element equivalent circuit, thin-line representation method

Abstract

Electromagnetic simulation and pre-analysis of electromagnetic compatibility for lightning effects are important. It is difficult to estimate the surface current of surface structures represented by thin lines. In this study, we simplified the partial element equivalent circuit (PEEC) equation and deduced an equation for the magnetic field based on the thin-line representation method. An inversion method was used to determine the surface current in a frequency-domain PEEC. Parallel computing technology was used to improve the inversion efficiency. Additionally, the capacitive and inductive characteristics of the elements of Darney’s circuit method were developed for PEEC. The results were compared with calculations using the finite integration technique. The application of the thin-line representation method was broadened, and its efficiency has been improved.

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Author Biographies

Zemin Duan, School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China

Zemin Duan was born in Hefei, China, in 1955. He received a B.Sc. from Hefei University of Technology in 1982, and M.Sc. and Ph.D. from the Institute of Plasma Physics, Chinese Academy of Sciences, in 1990 and 1994, respectively. He is a professor at the School of Electrical Engineering, Hefei University of Technology, Chief Specialist of the AVIC Technology Foundation Establishment in Lightning Protection of Airplanes, member of the National Technical Committee for Standardization of Lightning Protection, China, and member of AAAF and SAE. He has been engaged in professional research on pulse power technology and lightning protection of aircraft for more than 20 years.

Chen Tong, School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China

Chen Tong was born in Yangzhou, Jiangsu, China, in 1995. He received a B.S. in engineering from Hunan Institute of Technology in 2018. Since 2018, he has been studying for a doctorate at the School of Electrical Engineering and Automation, Hefei University of Technology. From 2019 to 2023, he was engaged in research related to aircraft lightning protection and surface lightning current calculation and measurement.

Yeyuan Huang, National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China

Yeyuan Huang was born in Hefei, Anhui, China, in 1989. He received a B.S. from Anhui University of Science and Technology. He received a Ph.D. from University of Science and Technology of China in 2021. From 2022 to 2023, he worked at the Anhui Provincial Key Laboratory of Aircraft Lightning Protection and the Aerospace Science and Technology Key Laboratory of Strong Electromagnetic Environment Protection Technology. During this time, he conducted research related to the protection of aircraft from high-intensity radiation fields.

Xinping Li, School of Mathematics Hunan Institute of Science and Technology, Yueyang 414006, China

Xinping Li was born in Ningyuan County, Hunan Province, in 1980. He received a Bachelor of Science degree in Mathematics and Applied Mathematics from Hunan Institute of Technology in 2004, a Master of Science degree in Probability Theory and Mathematical Statistics from Central South University in 2012, and a Master of Science degree in Computational Mathematics from Hunan University in 2021. Doctor of Science degree. He has been working in the School of Mathematics of Hunan University of Technology since 2004. He was hired as a lecturer in 2010 and an associate professor in 2023. He has published in IEEE Geoscience and Remote Sensing Letters, Remote Sensing, Journal of Computational Physics, Journal of Function Space, Applied Mathematics Letters, and Statistics & Probability Letters. Li is a director of the Hunan Provincial Operations Research Society and a member of the Chinese Society of Industrial and Applied Mathematics.

Shanliang Qiu, National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China

Shanliang Qiu was born in Hefei, Anhui, China, in 1983. He received the B.S. degree from Hefei University of Technology in 2005. In 2010, he received his Ph.D. from University of Science and Technology of China. He has been working at Anhui Provincial Key Laboratory of Aircraft Lightning Protection and Aerospace Science and Technology Key Laboratory of Strong Electromagnetic Environment Protection Technology since 2011. In the laboratory, he is mainly engaged in aircraft electrostatic discharge brushes and aircraft deposition electrostatic protection related work.

Xiaoliang Si, National Key Laboratory of Electromagnetic Information Control and Effects Hefei 230031, China, Key Laboratory of Strong Electromagnetic Environment Protection Technology Hefei 230031, China, Key Laboratory of Aircraft Lightning Protection of Anhui Province Hefei 230031, China

Xiaoliang Si was born in 1985 in Changchun, Jilin Province. He is a Ph.D. and an associate researcher. His main research direction is the strong electromagnetic environment protection technology for aircraft.

Yan Wei, School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China

Yan Wei is currently studying for his Ph.D. in the Lightning Protection Laboratory of Aircraft at Hefei University of Technology. His main research interests are lightning discharge and electrostatic electromagnetic environmental effects. He is engaged in aircraft electrostatic discharge brushes and aircraft deposition electrostatic protection related work.

Yao Ling, School of Electrical Engineering and Automation Hefei University of Technology, Hefei 230009, China

Yao Ling was born in Anqing, Anhui, China, in 1996. She received a B.S. in engineering from Qingdao University of Science and Technology in 2018. Since 2018, she has been studying for a doctorate in School of Electrical Engineering and Automation, Hefei University of Technology. From 2019 to 2023, she has been engaged in research related to aircraft lightning protection.

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https://github.com/UniPD-DII-ETCOMP/PEEC-1D

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Published

2025-03-30

How to Cite

[1]
Z. . Duan, “Inversion Method of Lightning Current Distribution on a Surface Conductor Represented by Thin Lines”, ACES Journal, vol. 40, no. 03, pp. 253–267, Mar. 2025.

Issue

2025: Vol 40 Iss 3

Section

General Submission

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