2020-08-10
Mathematical Modeling of Stray Capacitance for Planar Coil at Megahertz Frequency
By
Progress In Electromagnetics Research M, Vol. 95, 71-82, 2020
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
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        Google Scholar

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.        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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        Google Scholar

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.        Google Scholar

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        Google Scholar