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2014-08-08
A General Solution to Wireless Power Transfer Between Two Circular Loop
By
Progress In Electromagnetics Research, Vol. 148, 171-182, 2014
Abstract
Wireless power transmision has been analytically studied in near-field coupling systems based on the small-antenna and near-field approximations, and in microwave power beaming systems based on the far-field approximation. This paper attempts to provide a general solution based on full-wave analysis to wireless power transmission between two circular loops. The solution applies to arbitrary transmit and receive loop radii, transmission range, orientation and alignment of the loops, and dielectric properties in a homogeneous isotropic medium. The power link is modeled as a two-port network and the efficiency based on simultaneous conjugate matching is used as the performance metric. The self and mutual admittances are analytically solved by expressing the current on the loops in Fourier series and the fields in vector spherical wave functions, and by the use of vector addition theorem to relate the coupling between the loops. The general solution is then applied to draw new insights such as the optimal carrier frequency between symmetric loops and impact of higher order modes on the power transfer efficiency between asymmetric loops.
Citation
Ada S. Y. Poon , "A General Solution to Wireless Power Transfer Between Two Circular Loop," Progress In Electromagnetics Research, Vol. 148, 171-182, 2014.
doi:10.2528/PIER14071201
http://www.jpier.org/PIER/pier.php?paper=14071201
References

1. Tesla, N., Experiments with alternate currents of very high frequency and their application to methods of artificial illumination, Lecture, American Institute of Electrical Engineers, Columbia College, NY, May 20, 1891.

2. “Apparatus for transmission of electrical energy, US Patent US 649–621, May 15, 1900.

3. 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, 83-86, July 2007.
doi:10.1126/science.1143254

4. Karalis, A., J. D. Joannopoulos, and M. Soljacic, "Efficient wireless non-radiative mid-range energy transfer," Ann. Phys., Vol. 323, No. 1, 34-48, January 2008.
doi:10.1016/j.aop.2007.04.017

5. Brown, W. C., "The history of power transmission by radio waves," IEEE Trans. Microwave Theory Tech., Vol. 32, No. 9, 1230-1242, September 1984.
doi:10.1109/TMTT.1984.1132833

6. Brown, W. C. and E. E. Eyes, "Beamed microwave power transmission and its application to space," IEEE Trans. Microwave Theory Tech., Vol. 40, No. 6, 1239-1250, June 1992.
doi:10.1109/22.141357

7. Iizuka, K., R. W. P. King, and J. C. W. Harrison, "Self- and mutual admittances of two identical circular loop antennas in a conducting medium and in air," IEEE Trans. Antennas Propag., Vol. 14, No. 4, 440-445, July 1966.
doi:10.1109/TAP.1966.1138711

8. Ito, S., N. Inagaki, and T. Sekiguchi, "An investigation of the array of circular-loop antennas," IEEE Trans. Antennas Propag., Vol. 19, No. 4, 469-476, July 1971.
doi:10.1109/TAP.1971.1139954

9. Krishnan, S., L.-W. Li, and M.-S. Leong, "Entire-domain MoM analysis of an array of arbitrary oriented circular loop antennas: A general formulation," IEEE Trans. Antennas Propag., Vol. 53, No. 9, 2961-2968, September 2005.
doi:10.1109/TAP.2005.854553

10. Danos, M. and L. C. Maximon, "Multipole matrix elements of the translation operator," J. Math. Phys., Vol. 6, No. 5, 766-778, May 1965.
doi:10.1063/1.1704333

11. He, B. and W. C. Chew, "Addition theorem," Modeling and Computations in Electromagnetics: Lecture Notes in Computational Science and Engineering, Vol. 59, 203-226, 2008.
doi:10.1007/978-3-540-73778-0_8

12. Lee, T. H., The Design of CMOS Radio-frequency Integrated Circuits, 2nd Edition, Cambridge University Press, 2003.
doi:10.1017/CBO9780511817281

13. Barrera, R. G. G., G. A. Estevez, and J. Giraldo, "Vector spherical harmonics and their application to magnetostatics," Eur. J. Phys., Vol. 6, 287-294, 1985.
doi:10.1088/0143-0807/6/4/014

14. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1995.