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Accurate Expressions of Mutual Inductance and Their Calculation of Archimedean Spiral Coils

Author

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  • Shuo Liu

    (School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China)

  • Jianhui Su

    (School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China)

  • Jidong Lai

    (School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China)

Abstract

Considering the helicity of Archimedean spiral coils, this paper proposes accurate expressions of mutual inductance and their numerical calculation methods, which can be applied in the wireless power transmission field, etc. Accurate expressions of mutual inductance are deduced respectively for two coils that are coaxial, laterally misaligned, or non-parallel, and numerical calculations are performed using Gaussian integration as well. In the case of coaxial coils, the calculation results are verified by the 3D finite element method (3D FEM) and compared with the results gained by the traditional method that approximates two spiral coils to two clusters of series-connected circular coils ignoring helicity. The comparison of the three methods shows that results achieved by the proposed expression are close to that of 3D FEM, while there is increasing error with the screw pitches of the coils when using the traditional circular coil approximation method. The influence of relative position on the mutual inductance of the two coils is also studied and it is further explained through magnetic field distribution. Finally, the validity of the proposed expressions of mutual inductance is verified by experimental results.

Suggested Citation

  • Shuo Liu & Jianhui Su & Jidong Lai, 2019. "Accurate Expressions of Mutual Inductance and Their Calculation of Archimedean Spiral Coils," Energies, MDPI, vol. 12(10), pages 1-14, May.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:10:p:2017-:d:234472
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    References listed on IDEAS

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    1. Xinglong Zhou & Baichao Chen & Yao Luo & Runhang Zhu, 2019. "Analytical Calculation of Mutual Inductance of Finite-Length Coaxial Helical Filaments and Tape Coils," Energies, MDPI, vol. 12(3), pages 1-20, February.
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    Cited by:

    1. Adam Steckiewicz & Jacek Maciej Stankiewicz & Agnieszka Choroszucho, 2020. "Numerical and Circuit Modeling of the Low-Power Periodic WPT Systems," Energies, MDPI, vol. 13(10), pages 1-17, May.
    2. Jacopo Colussi & Roberto Re & Paolo Guglielmi, 2022. "Modelling and Design of a Coils Structure for 100 kW Three-Phase Inductive Power Transfer System," Energies, MDPI, vol. 15(14), pages 1-18, July.
    3. Jacek Maciej Stankiewicz & Agnieszka Choroszucho & Adam Steckiewicz, 2021. "Estimation of the Maximum Efficiency and the Load Power in the Periodic WPT Systems Using Numerical and Circuit Models," Energies, MDPI, vol. 14(4), pages 1-20, February.
    4. Soares, Laura & Wang, Hao, 2022. "A study on renewed perspectives of electrified road for wireless power transfer of electric vehicles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 158(C).
    5. Jacek Maciej Stankiewicz & Adam Steckiewicz & Agnieszka Choroszucho, 2023. "Analysis of Simultaneous WPT in Ultra-Low-Power Systems with Multiple Resonating Planar Coils," Energies, MDPI, vol. 16(12), pages 1-17, June.
    6. Mauro Parise & Fabrizio Loreto & Daniele Romano & Giulio Antonini & Jonas Ekman, 2021. "Accurate Computation of Mutual Inductance of Non Coaxial Pancake Coils," Energies, MDPI, vol. 14(16), pages 1-11, August.

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