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Optimal Analytical Solution for a Capacitive Wireless Power Transfer System with One Transmitter and Two Receivers

Author

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  • Ben Minnaert

    (Research Group DraMCo, ESAT, Technology Campus Ghent, KU Leuven, 9000 Gent, Belgium)

  • Nobby Stevens

    (Research Group DraMCo, ESAT, Technology Campus Ghent, KU Leuven, 9000 Gent, Belgium)

Abstract

Wireless power transfer from one transmitter to multiple receivers through inductive coupling is slowly entering the market. However, for certain applications, capacitive wireless power transfer (CWPT) using electric coupling might be preferable. In this work, we determine closed-form expressions for a CWPT system with one transmitter and two receivers. We determine the optimal solution for two design requirements: (i) maximum power transfer, and (ii) maximum system efficiency. We derive the optimal loads and provide the analytical expressions for the efficiency and power. We show that the optimal load conductances for the maximum power configuration are always larger than for the maximum efficiency configuration. Furthermore, it is demonstrated that if the receivers are coupled, this can be compensated for by introducing susceptances that have the same value for both configurations. Finally, we numerically verify our results. We illustrate the similarities to the inductive wireless power transfer (IWPT) solution and find that the same, but dual, expressions apply.

Suggested Citation

  • Ben Minnaert & Nobby Stevens, 2017. "Optimal Analytical Solution for a Capacitive Wireless Power Transfer System with One Transmitter and Two Receivers," Energies, MDPI, vol. 10(9), pages 1-16, September.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:9:p:1444-:d:112411
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    References listed on IDEAS

    as
    1. Aqeel Mahmood Jawad & Rosdiadee Nordin & Sadik Kamel Gharghan & Haider Mahmood Jawad & Mahamod Ismail, 2017. "Opportunities and Challenges for Near-Field Wireless Power Transfer: A Review," Energies, MDPI, vol. 10(7), pages 1-28, July.
    2. Ben Minnaert & Nobby Stevens, 2017. "Conjugate Image Theory Applied on Capacitive Wireless Power Transfer," Energies, MDPI, vol. 10(1), pages 1-15, January.
    3. Matjaz Rozman & Michael Fernando & Bamidele Adebisi & Khaled M. Rabie & Rupak Kharel & Augustine Ikpehai & Haris Gacanin, 2017. "Combined Conformal Strongly-Coupled Magnetic Resonance for Efficient Wireless Power Transfer," Energies, MDPI, vol. 10(4), pages 1-18, April.
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    Cited by:

    1. Fei Lu & Hua Zhang & Chris Mi, 2017. "A Review on the Recent Development of Capacitive Wireless Power Transfer Technology," Energies, MDPI, vol. 10(11), pages 1-30, November.
    2. Ben Minnaert & Alessandra Costanzo & Giuseppina Monti & Mauro Mongiardo, 2020. "Capacitive Wireless Power Transfer with Multiple Transmitters: Efficiency Optimization," Energies, MDPI, vol. 13(13), pages 1-17, July.
    3. Cédric Lecluyse & Ben Minnaert & Michael Kleemann, 2021. "A Review of the Current State of Technology of Capacitive Wireless Power Transfer," Energies, MDPI, vol. 14(18), pages 1-22, September.

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