single-jc.php

JACIII Vol.29 No.3 pp. 623-630
doi: 10.20965/jaciii.2025.p0623
(2025)

Research Paper:

Simulating and Modeling for Capacitance and Conductance of Parallel-Plate Coupler for Under Sea Water Applications

Ning Li*,† ORCID Icon, Kosuke Iguchi*, Xuefeng Liu** ORCID Icon, and Takeshi Shinkai*

*Tokyo University of Technology
1404-1 Katakuramachi, Hachioji, Tokyo 192-0982, Japan

Corresponding author

**Tokyo Woman’s Christian University
2-6-1 Zempukuji, Suginami-ku, Tokyo 167-8585, Japan

Received:
December 5, 2024
Accepted:
February 28, 2025
Published:
May 20, 2025
Keywords:
coupler, parallel-plate capacitor, wireless power transfer, undersea, finite element method
Abstract

This study analyzed the modeling and characteristics of parallel-plate capacitors for underwater capacitive wireless power transfer (CWPT) systems. Using finite element method (FEM) simulations, this study investigated the impact of various factors on the simulation results for both capacitance and conductance. A fitting equation is proposed for the coupling capacitance and conductance in a seawater environment. The derived equations were verified by varying the coupler size. For four different sizes, the maximum error percentage for capacitance was 9.18% at a size of 180×100 mm. For conductance, all error percentages were less than 3.49% at a transfer distance of 20 mm. The agreement between the simulated results and those calculated from the derived equations confirms the validity of the derived equations for both capacitance and conductance. Notably, this study also demonstrates a ratio of approximately 295.9 between the real and imaginary parts of the coupling admittance at a frequency of 3 MHz. This finding confirms that conductance, rather than susceptance, dominates the CWPT systems in underwater applications.

Variations in capacitance and conductance with respect to transfer distance <i>D</i>

Variations in capacitance and conductance with respect to transfer distance D

Cite this article as:
N. Li, K. Iguchi, X. Liu, and T. Shinkai, “Simulating and Modeling for Capacitance and Conductance of Parallel-Plate Coupler for Under Sea Water Applications,” J. Adv. Comput. Intell. Intell. Inform., Vol.29 No.3, pp. 623-630, 2025.
Data files:
References
  1. [1] M. F. Mahmood, S. L. Mohammed, S. K. Gharghan, A. Al-Naji, and J. Chahl, “Hybrid Coils-Based Wireless Power Transfer for Intelligent Sensors,” Sensors, Vol.20, No.9, Article No.2549, 2020. https://doi:10.3390/s20092549
  2. [2] H. Feng, T. Cai, S. Duan, J. Zhao, X. Zhang, and C. Chen, “An LCC-Compensated Resonant Converter Optimized for Robust Reaction to Large Coupling Variation in Dynamic Wireless Power Transfer,” IEEE Trans. on Industrial Electronics, Vol.63, No.10, pp. 6591-6601, 2016. https://doi:10.1109/TIE.2016.2589922
  3. [3] C. Liu and A. P. Hu, “Steady state analysis of a capacitively coupled contactless power transfer system,” 2009 IEEE Energy Conversion Congress and Exposition, pp. 3233-3238, 2009. https://doi:10.1109/ECCE.2009.5316216
  4. [4] M. Z. Erel, K. C. Bayindir, M. T. Aydemir, S. K. Chaudhary, and J. M. Guerrero, “A Comprehensive Review on Wireless Capacitive Power Transfer Technology: Fundamentals and Applications,” IEEE Access, Vol.10, pp. 3116-3143, 2022. https://doi:10.1109/ACCESS.2021.3139761
  5. [5] H. Zhang, F. Lu, H. Hofmann, W. Liu, and C. C. Mi, “A Four-Plate Compact Capacitive Coupler Design and LCL-Compensated Topology for Capacitive Power Transfer in Electric Vehicle Charging Application,” IEEE Trans. on Power Electronics, Vol.31, No.12, pp. 8541-8551, 2016. https://doi:10.1109/TPEL.2016.2520963
  6. [6] F. Lu, H. Zhang, and C. Mi, “A Two-Plate Capacitive Wireless Power Transfer System for Electric Vehicle Charging Applications,” IEEE Trans. on Power Electronics, Vol.33, No.2, pp. 964-969, 2018. https://doi:10.1109/TPEL.2017.2735365
  7. [7] M. Urano and A. Takahashi, “Study on underwater wireless power transfer via electric coupling,” 2016 IEEE Int. Meeting for Future of Electron Devices, 2016. https://doi:10.1109/IMFEDK.2016.7521674
  8. [8] D. Vincent and S. S. Williamson, “Modeling, Analysis, Design, and Verification of a Reduced Model Capacitive Power Transfer Based Wireless Charging System,” 2020 IEEE Energy Conversion Congress and Exposition (ECCE), pp. 4118-4123, 2020. https://doi:10.1109/ECCE44975.2020.9236285
  9. [9] H. Mahdi, B. Hoff, and T. Østrem, “Evaluation of Capacitive Power Transfer for Small Vessels Charging Applications,” 2020 IEEE 29th Int. Symp. on Industrial Electronics (ISIE), pp. 1605-1610, 2020. https://doi:10.1109/ISIE45063.2020.9152514
  10. [10] M. Tamura, K. Murai, and M. Matsumoto, “Design of Conductive Coupler for Underwater Wireless Power and Data Transfer,” IEEE Trans. on Microwave Theory and Techniques, Vol.69, No.1, pp. 1161-1175, 2021. https://doi:10.1109/TMTT.2020.3041245
  11. [11] S. Kodeeswaran, M. Nandhini Gayathri, A. Kannabhiran, and P. Sanjeevikumar, “Design and Performance Analysis of Four Plates Capacitive Coupler for Electric Vehicle On-Road Wireless Charging,” 2021 24th Int. Symp. on Wireless Personal Multimedia Communications (WPMC), 2021. https://doi:10.1109/WPMC52694.2021.9700416
  12. [12] W. V. Ignatowsky, “Über doppelpolige Lösungen der Wellengleichung,” Springer, 1932.
  13. [13] E. R. Love, “The Electrostatic Field of Two Equal Circular Co-axial Conducting Disks,” The Quarterly J. of Mechanics and Applied Mathematics, Vol.2, No.4, pp. 428-451, 1949. https://doi.org/10.1093/qjmam/2.4.428
  14. [14] V. Hutson, “The circular plate condenser at small separations,” Mathematical Proc. of the Cambridge Philosophical Society, Vol.59, No.1, pp. 211-224, 1963. https://doi:10.1017/S0305004100002152
  15. [15] B. D. Hughes, “Comment on the potential due to a circular parallel plate capacitor,” J. of Physics A: Mathematical and General, Vol.17, No.6, pp. 1385-1386, 1984. https://doi:10.1088/0305-4470/17/6/033
  16. [16] G. J. Sloggett, N. G. Barton, and S. J. Spencer, “Fringing fields in disc capacitors,” J. of Physics A: Mathematical and General, Vol.19, No.14, pp. 2725-2736, 1986. https://doi:10.1088/0305-4470/19/14/012
  17. [17] X. Chen, Z. Zhang, S. Yu, and T.-G. Zsurzsan, “Fringing Effect Analysis of Parallel Plate Capacitors for Capacitive Power Transfer Application,” 2019 IEEE 4th Int. Future Energy Electronics Conf. (IFEEC), 2019. https://doi:10.1109/IFEEC47410.2019.9015111
  18. [18] N. Li, K. Iguchi, X. Liu, A. Shirane, K. Okada, and T. Shinkai, “Conductive and Capacitive Properties of Couplers under Seawater for Electric Wireless Power Transfer,” 2024 IEEE Wireless Power Technology Conf. and Expo (WPTCE), pp. 308-311, 2024. https://doi:10.1109/WPTCE59894.2024.10557356

*This site is desgined based on HTML5 and CSS3 for modern browsers, e.g. Chrome, Firefox, Safari, Edge, Opera.

Last updated on May. 19, 2025