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Estimation of the Maximum Efficiency and the Load Power in the Periodic WPT Systems Using Numerical and Circuit Models

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  • Jacek Maciej Stankiewicz

    (Department of Electrical Engineering, Power Electronics and Power Engineering, Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland)

  • Agnieszka Choroszucho

    (Department of Electrical Engineering, Power Electronics and Power Engineering, Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland)

  • Adam Steckiewicz

    (Department of Electrical Engineering, Power Electronics and Power Engineering, Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland)

Abstract

The article presents an analysis of the maximum efficiency and maximum load power, which are available to obtain in periodic wireless power transfer (WPT) systems. The numerical computations of the proposed WPT structures are performed using the finite element method and branch current method. Two theoretical models are discussed, i.e., a numerical model with simplified structure and boundary conditions as well as an equivalent circuit model is proposed to solve WPT systems with many magnetically coupled planar coils. A multivariate analysis is performed, which takes into account the variability of the number of turns, distance between a transmitting and receiving coil, and the frequency of an energy source. The outputs, such as overall efficiency, power of the source and power transferred to a load are discussed. The formulas for the load impedance required to maximize the efficiency or load power, which are taking into account the electrical parameters of the system resulting from its geometry, are presented. The results obtained from proposed models are consistent, which confirm the correctness of the adopted circuit model, which is less complex and faster to compute than numerical one. It is also possible to perform a quick assessment of electrical parameters of the analyzed WPT structure, using presented analytical formulas and numerical model or experimental data. The results allow for a detailed discussion of the dependence of the efficiency and power of the WPT system with respect to geometry of spiral coils.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:4:p:1151-:d:503430
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    References listed on IDEAS

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    1. 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.
    2. Sun, Longzhao & Ma, Dianguang & Tang, Houjun, 2018. "A review of recent trends in wireless power transfer technology and its applications in electric vehicle wireless charging," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 490-503.
    3. Matjaz Rozman & Michael Fernando & Bamidele Adebisi & Khaled M. Rabie & Tim Collins & Rupak Kharel & Augustine Ikpehai, 2017. "A New Technique for Reducing Size of a WPT System Using Two-Loop Strongly-Resonant Inductors," Energies, MDPI, vol. 10(10), pages 1-18, October.
    4. Barman, Surajit Das & Reza, Ahmed Wasif & Kumar, Narendra & Karim, Md. Ershadul & Munir, Abu Bakar, 2015. "Wireless powering by magnetic resonant coupling: Recent trends in wireless power transfer system and its applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 1525-1552.
    5. Yang Li & Kai Song & Zhenjie Li & Jinhai Jiang & Chunbo Zhu, 2018. "Optimal Efficiency Tracking Control Scheme Based on Power Stabilization for a Wireless Power Transfer System with Multiple Receivers," Energies, MDPI, vol. 11(5), pages 1-18, May.
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    Cited by:

    1. Jacek Maciej Stankiewicz & Agnieszka Choroszucho, 2021. "Comparison of the Efficiency and Load Power in Periodic Wireless Power Transfer Systems with Circular and Square Planar Coils," Energies, MDPI, vol. 14(16), pages 1-24, August.
    2. Zbigniew Sołjan & Maciej Zajkowski, 2022. "Extension and Correction of Budeanu Power Theory Based on Currents’ Physical Components (CPC) Theory for Single-Phase Systems," Energies, MDPI, vol. 15(21), pages 1-18, November.
    3. Zeeshan Ahmad & Zhonghan Wang & Zain ul Abidin Jaffri & Shudi Bao, 2022. "Accurate Theoretical Models for Frequency Diverse Array Based Wireless Power Transmission," Energies, MDPI, vol. 15(4), pages 1-12, February.
    4. Jacek Maciej Stankiewicz, 2023. "Estimation of the Influence of the Coil Resistance on the Power and Efficiency of the WPT System," Energies, MDPI, vol. 16(17), pages 1-22, August.
    5. Zbigniew Sołjan & Maciej Zajkowski & Andrzej Borusiewicz, 2023. "Reactive Power Compensation and Distortion Power Variation Identification in Extended Budeanu Power Theory for Single-Phase Systems," Energies, MDPI, vol. 17(1), pages 1-23, December.

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