Vol. 95

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2020-08-10

Mathematical Modeling of Stray Capacitance for Planar Coil at Megahertz Frequency

By Jiaxiang Song, Huilin An, Yanhong Li, Chao Zhang, and Guo-Qiang Liu
Progress In Electromagnetics Research M, Vol. 95, 71-82, 2020
doi:10.2528/PIERM20032303

Abstract

The coil stray capacitance is an essential factor for high-frequency coil application, such as wireless power transfer system. In this paper, in order to calculate the planar coil stray capacitance at Megahertz frequency, the theory model has been built. Based on the basic capacitance calculation equation, the mathematical model has been deduced carefully. Then, the mathematical model has been evaluated by a series of simulation models. In the simulation part, the error of the variables of the theory model has been analyzed carefully and quantitatively. In order to verify the theory and simulation model, the verification experiment has been done. The experimental results are consistent with the simulated ones and the theory model. The experimental and simulated results indicate that the theory model of the coil stray capacitance has a satisfactory accuracy, and the model has application potential in the field of wireless power transfer.

Citation


Jiaxiang Song, Huilin An, Yanhong Li, Chao Zhang, and Guo-Qiang Liu, "Mathematical Modeling of Stray Capacitance for Planar Coil at Megahertz Frequency," Progress In Electromagnetics Research M, Vol. 95, 71-82, 2020.
doi:10.2528/PIERM20032303
http://www.jpier.org/PIERM/pier.php?paper=20032303

References


    1. Massarini, A. and M. K. Kazimierczuk, "Self-capacitance of inductors," IEEE Transactions on Power Electronics, Vol. 12, No. 1, 33-40, 1997.
    doi:10.1109/61.568222

    2. Yun, H. C., G. Lee, and W. S. Park, "Empirical formulas for self-resonance frequency of Archimedean spiral coils and helical coils," Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation, 1-2, 2012.

    3. Sijoy, C. D. and S. Chaturvedi, "Calculation of accurate resistance and inductance for complex magnetic coils using the finite-difference time-domain technique for electromagnetics," IEEE Transactions on Plasma Science, Vol. 36, No. 1, 70-79, 2008.
    doi:10.1109/TPS.2007.914693

    4. Martinez, J. L., S. Babic, and C. Akyel, "On evaluation of inductance, dc resistance, and capacitance of coaxial inductors at low frequencies," IEEE Transactions on Magnetics, Vol. 50, No. 7, 1-12, 2014.
    doi:10.1109/TMAG.2014.2303943

    5. Rizzoli, G., M. Mengoni, A. Tani, G. Serra, and D. Casadei, "Wireless power transfer using a five-phase wound-rotor induction machine for speed-controlled rotary platforms," IEEE Transactions on Industrial Electronics, Vol. 67, No. 8, 6237-6247, 2020.
    doi:10.1109/TIE.2019.2935988

    6. Kurs, A., A. Karalis, R. Moffatt, J. D. Joannopoulos, P. Fisher, and M. Soljacic, "Wireless power transfer via strongly coupled magnetic resonances," Science, Vol. 317, No. 5834, 83-86, 2007.
    doi:10.1126/science.1143254

    7. Beeby, S. P., M. J. Tudor, and N. M. White, "Energy harvesting vibration sources for microsystems applications," Measurement Science & Technology, Vol. 17, No. 12, 175-195, 2006.
    doi:10.1088/0957-0233/17/12/R01

    8. Li, S. and C. C. Mi, "Wireless power transfer for electric vehicle applications," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 3, No. 1, 4-17, 2015.
    doi:10.1109/JESTPE.2014.2319453

    9. Yao, R., et al., "A combined system for generating a uniform magnetic field and its application in the investigation of Efimov physics," Chinese Physics B, Vol. 27, No. 1, 16703-016703, 2018.
    doi:10.1088/1674-1056/27/1/016703

    10. Xu, Z., et al., "Equivalent magnetic dipole method used to design gradient coil for unilateral magnetic resonance imaging," Chinese Physics B, Vol. 27, No. 5, 058702, 2018.
    doi:10.1088/1674-1056/27/5/058702

    11. Lu, W.-G., et al., "Numerical analysis of magnetic-shielding effectiveness for magnetic resonant wireless power transfer system," Chinese Physics Letters, Vol. 34, No. 08, 155-158, 2017.
    doi:10.1088/0256-307X/34/8/088801

    12. Ezheiyan, M., et al., "Thermal analysis simulation of germanium zone refining process assuming a constant radio-frequency heating source," Chinese Physics Letters, Vol. 33, No. 5, 123-126, 2016.
    doi:10.1088/0256-307X/33/5/058102

    13. Li, S., "New discrete element models for three-dimensional impact problems," Chinese Physics Letters, Vol. 26, No. 12, 5-8, 2009.

    14. Kellnberger, S., A. Rosenthal, A. Myklatun, G. G. Westmeyer, G. Sergiadis, and V. Ntziachristos, "Magnetoacoustic sensing of magnetic nanoparticles," Physical Review Letters, Vol. 116, No. 10, 108103.1-108103.6, 2016.
    doi:10.1103/PhysRevLett.116.108103

    15. Pillsbury, R. and W. Punchard, "A finite element/fourier expansion technique for the design of a pulsed radial gradient system for magnetic resonance imaging (MRI)," IEEE Transactions on Magnetics, Vol. 21, No. 6, 2273-2275, 1985.
    doi:10.1109/TMAG.1985.1064196

    16. Zhang, Z. and B. Zhang, "Angular-misalignment insensitive omnidirectional wireless power transfer," IEEE Transactions on Industrial Electronics, Vol. 67, No. 4, 2755-2764, 2020.
    doi:10.1109/TIE.2019.2908604

    17. Lin, D., C. Zhang, and S. Y. R. Hui, "Mathematic analysis of omnidirectional wireless power transfer — Part-II three-dimensional systems," IEEE Transactions on Power Electronics, Vol. 32, No. 1, 613-624, 2017.
    doi:10.1109/TPEL.2016.2523506

    18. Kim, Y. G. and S. Nam, "Determination of the impedance parameters of antennas and the maximum power transfer efficiency of wireless power transfer," IEEE Transactions on Antennas and Propagation, Vol. 67, No. 8, 5132-5144, 2019.
    doi:10.1109/TAP.2019.2912500

    19. Minnaert, B. and N. Stevens, "Conjugate image theory applied on capacitive wireless power transfer," Energies, Vol. 10, No. 1, 46, 2017.
    doi:10.3390/en10010046

    20. Lu, H. Y., J. G. Zhu, and S. R. Y. Hui, "Experimental determination of stray capacitances in high frequency transformers," IEEE Transactions on Power Electronics, Vol. 15, No. 8, 1105-1112, 2003.

    21. Riba, J. R., F. Capelli, and M. Moreno-Eguilaz, "Analysis and mitigation of stray capacitance effects in resistive high-voltage dividers," Energies, Vol. 12, No. 12, 2278, 2019.
    doi:10.3390/en12122278