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Analysis and Visualization of the Instantaneous Spatial Energy Density and Poynting Vector of the Wireless Power Transfer System

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  • Jianwei Kang

    (Key Laboratory of Testing Technology for Manufacturing Process, Ministry of Education, School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010, China)

  • Jie Lu

    (Key Laboratory of Testing Technology for Manufacturing Process, Ministry of Education, School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010, China)

  • Deyu Zeng

    (Key Laboratory of Testing Technology for Manufacturing Process, Ministry of Education, School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010, China)

  • Xiangyang Shi

    (Key Laboratory of Testing Technology for Manufacturing Process, Ministry of Education, School of Manufacturing Science and Engineering, Southwest University of Science and Technology, Mianyang 621010, China)

Abstract

This study analyzes the instantaneous spatial energy density and Poynting vector in the WPT system and presents time-varying distributions and animations of this energy density and Poynting vector. First, the energy density is decoupled by two self-energy densities of each coil and the mutual energy density of the two coils. Result reveals how the energy is stored in the WPT system. Second, the Poynting vector is analyzed, and it is found that the power is transferred only in the last half period of the Poynting vector, not at every moment of the whole period. This instantaneous Poynting vector also possesses a characteristic that shows no power flow on the condition that the current phase difference equals zero. This finding is different from the energy density and indicates that the instantaneous Poynting vector can perfectly interpret how power is transferred in the WPT system. Finally, a simulation and an experiment were conducted to verify the correctness of the analysis. This study contributes to a deeper and better understanding of the intrinsic characteristics of energy storage and power flow in the WPT system, and can be referred to for WPT system design and optimization when one considers the EMC or human electromagnetic field exposure problem.

Suggested Citation

  • Jianwei Kang & Jie Lu & Deyu Zeng & Xiangyang Shi, 2022. "Analysis and Visualization of the Instantaneous Spatial Energy Density and Poynting Vector of the Wireless Power Transfer System," Energies, MDPI, vol. 15(16), pages 1-18, August.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:16:p:5764-:d:883464
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    References listed on IDEAS

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    1. Mattia Simonazzi & Ugo Reggiani & Leonardo Sandrolini, 2022. "Standing Wave Pattern and Distribution of Currents in Resonator Arrays for Wireless Power Transfer," Energies, MDPI, vol. 15(2), pages 1-23, January.
    2. Feng Wen & Xueliang Huang, 2016. "Optimal Magnetic Field Shielding Method by Metallic Sheets in Wireless Power Transfer System," Energies, MDPI, vol. 9(9), pages 1-15, September.
    3. Vincenzo Cirimele & Riccardo Torchio & Antonio Virgillito & Fabio Freschi & Piergiorgio Alotto, 2019. "Challenges in the Electromagnetic Modeling of Road Embedded Wireless Power Transfer," Energies, MDPI, vol. 12(14), pages 1-22, July.
    4. Yuan Liu & Aiguo Patrick Hu, 2018. "Study of Power Flow in an IPT System Based on Poynting Vector Analysis," Energies, MDPI, vol. 11(1), pages 1-12, January.
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