Calculation of Bending Effects on the Lumped Inductance for Cables Using the Line Current Model

Authors

  • Xiao Chen School of Electrical Engineering and Automation Harbin Institute of Technology, Harbin, HL 150001, China
  • Haicheng Yin No. 23 Research Institute of CETC Shanghai, SH 201900, China
  • Gang Zhang School of Electrical Engineering and Automation Harbin Institute of Technology, Harbin, HL 150001, China
  • Francesco de Paulis UAq Electromagnetic Compatibility Lab University of L’Aquila, L’Aquila, Abruzzi 67100, Italy
  • Xin He Department of Mechanical Engineering and Automation Harbin Institute of Technology, Shenzhen, GZ 518000, China

DOI:

https://doi.org/10.13052/2025.ACES.J.401208

Keywords:

cable inductance, semi-analytical method, line current model, partial inductance

Abstract

This paper presents a semi-analytical method to calculate the bending effects on cable inductance at low frequencies using the line current model (LCM). To deal with the divergent items of the self-inductance obtained by the LCM, some cautious treatments are adopted to counteract the divergent terms between the straightened LCM and bent LCM, leading to a semi-analytical formula for the inductance deviation of the parallel-pair cable. The LCM is then applied to the coaxial cable in collaboration with the decomposition of the conductors, to take into account the mutual inductance among the portions of each conductor. The results of the proposed semi-analytical method are compared with those obtained by the finite element method (FEM), which validates the accuracy of the method. Furthermore, the dependence of the inductance deviation on cable parameters is illuminated for reference of realistic inductance determination.

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Author Biographies

Xiao Chen, School of Electrical Engineering and Automation Harbin Institute of Technology, Harbin, HL 150001, China

Xiao Chen was born in Yichang, China, in 1998. He received the B.Sc. and M.Sc. degrees in electrical engineering in 2020 and 2023, respectively, from the School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin, where he is currently pursuing a Ph.D. degree in electrical engineering. His research interests include transmission line theory, computational electromagnetics, and multiphysics field coupling simulations.

Haicheng Yin, No. 23 Research Institute of CETC Shanghai, SH 201900, China

Haicheng Yin was born in Shanghai, China, in 1984. He graduated from Tongji University and holds a B.Sc. in EIE. He has been working for No. 23 Research Institute of CETC since 2008 and was appointed as an assistant chief engineer in 2020. His professional expertise lies in the international standardization work in the field of optical and electrical communication cable, connectors, and assemblies. He is an active member in the IEC community and has been project leader for 14 IEC standards. He was appointed as convenor for IEC/TC46/WG9 and IEC/SC46A/WG3, and as liaison for IEC/SC86A and IEC/ISO JTC3. For his outstanding work, he received an IEC 1906 award in 2022.

Gang Zhang, School of Electrical Engineering and Automation Harbin Institute of Technology, Harbin, HL 150001, China

Gang Zhang was born in Tai’an, China, in 1984. He received the B.S. degree in electrical engineering from China University of Petroleum, Dongying, in 2007, and the M.S. and Ph.D. degrees in electrical engineering from Harbin Institute of Technology (HIT), Harbin, in 2009 and 2014, respectively. He is currently a Professor of Electrical Engineering with HIT. His research interests include electrical contact theory, uncertainty analysis of electromagnetic compatibility, and validation of CEM.

Francesco de Paulis, UAq Electromagnetic Compatibility Lab University of L’Aquila, L’Aquila, Abruzzi 67100, Italy

Francesco de Paulis was born in L’Aquila, Italy, in 1981. He received the Specialistic Laurea (summa cum laude) degree in electronic engineering from the University of L’Aquila (UAq), L’Aquila, in 2006, the M.S. degree in electrical engineering from Missouri University of Science and Technology, Rolla, MO, USA, in 2008, and the Ph.D. degree in electrical and information engineering from UAq in 2012. He is currently a Senior Research Professor with the UAq EMC Laboratory. His main research interests include the design of high-speed signals on PCBs, packages, and chips, RF interference in mixed-signal systems, and EMI problem investigation on PCBs.

Xin He, Department of Mechanical Engineering and Automation Harbin Institute of Technology, Shenzhen, GZ 518000, China

Xin He was born in Wenshan, China, in 1996. He received the B.S. and M.Sc. degrees in electrical engineering from Harbin Institute of Technology (HIT), Harbin, in 2019 and 2021, respectively. He is currently pursuing a Ph.D. degree in electrical engineering with HIT, Shenzhen. His research interests include cable fault detection location and electromagnetic compatibility analysis.

References

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Published

2025-12-30

How to Cite

[1]
X. . Chen, H. . Yin, G. . Zhang, F. de . Paulis, and X. . He, “Calculation of Bending Effects on the Lumped Inductance for Cables Using the Line Current Model”, ACES Journal, vol. 40, no. 12, pp. 1206–1214, Dec. 2025.

Issue

2025: Vol 40 Iss 12

Section

General Submission

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