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Modeling Non-Quasi-Static Magnetic Coupling of Parallel Flat Inductors for Wireless Power Transfer Applications in Close Proximity to the Ground

Author

Listed:
  • Mauro Parise

    (Department of Engineering, University Campus Bio-Medico of Rome, Via Alvaro del Portillo 21, 00128 Rome, Italy)

Abstract

Presented here is a novel rigorous analytical solution for investigation of the magnetic coupling of two parallel flat inductors located near conducting earth. The solution is derived by replacing the integrand of the double-integral expression for the flux linkage with its power series expansion and then carrying out analytical integration of each term of the resulting series of integrals. The mutual inductance is given as a combination of special functions, depending on the electromagnetic and geometrical parameters of the problem. The validity of the derived solution is assessed through comparison with the outcomes of conventional analytical and numerical algorithms. The results from the conducted simulations confirm that the proposed formulation offers advantages over the previous techniques in terms of both accuracy and efficiency.

Suggested Citation

  • Mauro Parise, 2025. "Modeling Non-Quasi-Static Magnetic Coupling of Parallel Flat Inductors for Wireless Power Transfer Applications in Close Proximity to the Ground," Energies, MDPI, vol. 18(3), pages 1-21, February.
    • Handle: RePEc:gam:jeners:v:18:y:2025:i:3:p:678-:d:1581652
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    References listed on IDEAS

    as
    1. 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.
    2. Mauro Parise & Giulio Antonini & Luisa Di Paola, 2023. "A Rigorous Explicit Expression for the Mutual Inductance of Two Co-Axial Thin-Wire Coil Antennas Placed above a Layered Ground," Energies, MDPI, vol. 16(22), pages 1-17, November.
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