Research Paper:
Simulating and Modeling for Capacitance and Conductance of Parallel-Plate Coupler for Under Sea Water Applications
Ning Li*,
, Kosuke Iguchi*, Xuefeng Liu**
, 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
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 D
- [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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] W. V. Ignatowsky, “Über doppelpolige Lösungen der Wellengleichung,” Springer, 1932.
- [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] 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] 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] 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] 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] 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
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