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2023-01-04
Coupling Coefficient Calculation of Arbitrarily Positioned Rectangular Coils with Double Magnetic Shielding in Wireless Power Transfer Systems
By
Progress In Electromagnetics Research B, Vol. 98, 39-57, 2023
Abstract
Coupling coefficient is a key parameter for the coil design of wireless power transfer (WPT) systems. The accurate calculation of coupling coefficient is an important theoretical basis for optimizing the coil structure and improving the transmission efficiency in WPT systems. In this paper, the magnetic flux density distribution of rectangular spiral coils with double magnetic shielding is studied, and an analytical model of coupling coefficient between arbitrarily positioned rectangular spiral coils is established. First, the incident magnetic flux density is obtained based on the dual Fourier transformation and the relationship between the magnetic flux density and magnetic vector potential. Second, the reflected magnetic flux density in the region of the receiving coil is solved by using Poisson's equation, Laplace's equation and boundary conditions. Finally, the formula for the coupling coefficient between rectangular spiral coils is derived by the spatial frame transformation method and the integral method. The calculation results agree well with the finite element simulation value and experimental measurements, which verifies the correctness of the calculation formula of the coupling coefficient.
Citation
Zhongqi Li, Zhongbang Chen, Jing Li, Huadong Liu, and Qing Huang, "Coupling Coefficient Calculation of Arbitrarily Positioned Rectangular Coils with Double Magnetic Shielding in Wireless Power Transfer Systems," Progress In Electromagnetics Research B, Vol. 98, 39-57, 2023.
doi:10.2528/PIERB22090805
References

1. Liu, D., K. Zhou, Y. Liu, et al. "Research on constant output power based on double pick-up in dynamic wireless power transfer system," Proceedings of the CSEE, Vol. 39, No. 13, 3899-3907, 2019.

2. Huang, X., W. Wang, L. Tan, et al. "Technical progress and application development of magnetic coupling resonant wireless power transfer," Automation of Electric Power Systems, Vol. 41, No. 2, 2-14+141, 2017.

3. Jia, J. and X. Yan, "Research tends of magnetic coupling resonant wireless power transfer characteristics," Transactions of China Electrotechnical Society, Vol. 35, No. 20, 4217-4231, 2020.

4. Fan, X., X. Mo, X. Zhang, et al. "Research status and application of wireless power transmission technology," Proceedings of the CSEE, Vol. 35, No. 10, 2584-2600, 2015.

5. Xie, W. and W. Chen, "Research progress of omnidirectional wireless power transfer technology," Automation of Electric Power Systems, Vol. 44, No. 4, 202-221, 2020.

6. Yang, M., R. Mai, L. Xu, et al. "Coaxial phase detection coil and its application for dynamic resonance tuning in inductive wireless power transfer systems," Proceedings of the CSEE, Vol. 37, No. 6, 1867-1875, 2017.

7. Kou, Z., B. Yang, Y. Chen, et al. "Study on IPT charging system with the characteristics of misalignment tolerant in 2-dimensional plane and constant voltage output," Proceedings of the CSEE, Vol. 38, No. 15, 4576-4584+465, 2018.

8. Wang, Y., K. Lu, Y. Yao, et al. "An electric vehicles (EV)-oriented wireless power transfer system featuring high misalignment tolerance," Proceedings of the CSEE, Vol. 39, No. 13, 3907-3917, 2019.

9. Chen, F., R. Mai, Y. Li, et al. "Efficiency optimization of three-coil structure WPT systems based on relay coil switching," Proceedings of the CSEE, Vol. 39, No. 21, 6373-6383, 2019.

10. Sun, Y., C. Jiang, Z. Wang, et al. "Optimal planning of dynamic wireless supply system for electric vehicles based on particle swarm genetic algorithm," Automation of Electric Power Systems, Vol. 43, No. 9, 125-133, 2019.

11. Mai, R., Y. Li, Z. He, et al. "Wireless power transfer technology and its research progress in rail transportation," Journal of Southwest Jiaotong University, Vol. 51, No. 3, 446-461, 2016.

12. Pratik, U., B. J. Varghese, A. Azad, et al. "Optimum design of decoupled concentric coils for operation in double-receiver wireless power transfer systems," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 7, No. 3, 1982-1998, 2019.
doi:10.1109/JESTPE.2018.2871150

13. Yan, Z., B. Song, Y. Zhang, et al. "A rotation-free wireless power transfer system with stable output power and efficiency for autonomous underwater vehicles," IEEE Transactions on Power Electronics, Vol. 34, No. 5, 4005-4008, 2019.
doi:10.1109/TPEL.2018.2871316

14. Zhang, K., Y. Ma, Z. Yan, et al. "Eddy current loss and detuning effect of seawater on wireless power transfer," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 8, No. 1, 909-917, 2020.
doi:10.1109/JESTPE.2018.2888521

15. Zhu, C., J. Jiang, K. Song, et al. "Research progress of key technologies for dynamic wireless charging of electric vehicle," Automation of Electric Power Systems, Vol. 41, No. 2, 60-65+72, 2017.

16. Li, R., Q. Yang, Y. Li, et al. "Efficient shielding design and optimization of wireless power transfer system with proximity coupling," Automation of Electric Power Systems, Vol. 43, No. 21, 163-171, 2019.

17. Cheng, S., "Progress in advanced electrical materials," Proceedings of the CESS, Vol. 37, No. 15, 4273-4285+4567, 2017.

18. Xu, Q., Y. Xu, and R. Mai, "IPT resonant reactive shielding systems with the characteristics of optimal magnetic shielding effect on target surface," Proceedings of the CSEE, Vol. 39, No. 18, 5490-5498+5597, 2019.

19. Jing, X., "Study on composite magnetic material structure in wireless power transmission system," Qingdao University, Qingdao, 2019.

20. Zhang, X., C. Quan, and Z. Li, "Mutual inductance calculation of circular coils for an arbitrary position with electromagnetic shielding in wireless power transfer systems," IEEE Transactions on Transportation Electrification, Vol. 7, No. 3, 1196-1204, 2021.
doi:10.1109/TTE.2021.3054762

21. Li, Z. and M. Zhang, "Mutual inductance calculation of circular coils arbitrary positioned with magnetic tiles for wireless power transfer system," IET Power Electronics, Vol. 13, No. 16, 3522-3527, 2020.
doi:10.1049/iet-pel.2020.0392

22. Wu, D., T. He, X.Wang, et al. "Analytical modeling and analysis of mutual inductance coupling of rectangular spiral coils in inductive power transfer," Transactions of China Electrotechnical Society, Vol. 33, No. 3, 680-688, 2018.

23. Kuang, X. and L. Jia, "On the mutual induction coefficient and magnetic force between two coaxial rectangle coils carrying current," Journal of China West Normal University (Natural Science), Vol. 38, No. 4, 426-429, 2017.

24. Oliveira, R. and P. Lehn, "An improved mutual inductance electromagnetic model for inductive power transfer systems under misalignment conditions," IEEE Transactions on Vehicular Technology, Vol. 69, No. 6, 6079-6093, 2020.
doi:10.1109/TVT.2020.2986966

25. Misakian, M., "Equations for the magnetic field produced by one or more rectangular loops of wire in the same plane," Journal of Research of the National Institute of Standards and Technology, Vol. 105, No. 4, 557-564, 2000.
doi:10.6028/jres.105.045

26. Joy, E. R., A. Dalal, and P. Kunar, "Accurate computation of mutual inductance of two air core square coils with lateral and angular misalignments in a at planar surface," IEEE Transactions on Magnetics, Vol. 50, No. 1, 1-9, 2014.
doi:10.1109/TMAG.2013.2279130

27. Cheng, Y. and Y. Shu, "Mutual inductance calculation between arbitrarily positioned rectangular filaments," International Journal of Applied Electromagnetics and Mechanics, Vol. 46, No. 3, 287-298, 2014.
doi:10.3233/JAE-141779

28. Liu, Y. and S. He, "The calculation of mutual inductance of two polygons with multiturn coils at arbitrarily position," Value engineering, Vol. 32, No. 31, 235-237, 2013.

29. Itaya, T., K. Ishida, A. Tanaka, et al. "Eddy current distribution for a rectangular coil arranged parallel to a moving conductor slab," IET Science, Measurement & Technology, Vol. 6, No. 2, 43-51, 2012.
doi:10.1049/iet-smt.2011.0015

30. Hao, K., S. Huang, W. Zhao, et al. "Analytical modelling and calculation of impedance and pulsed magnetic field for rectangular meander coil based on second order potential," Acta Physica Sinica, Vol. 60, No. 7, 791-800, 2011.

31. Smeets, J. P. C., T. T. Overboom, J. W. Jansen, et al. "Mode-matching technique applied to three-dimensional magnetic field modeling," IEEE Transactions on Magnetics, Vol. 48, No. 11, 3383-2286, 2012.
doi:10.1109/TMAG.2012.2194478

32. Luo, Z. and X. Wei, "Analysis of square and circular planar spiral coils in wireless power transfer system for electric vehicles," IEEE Transactions on Industrial Electronics, Vol. 65, No. 1, 331-341, 2018.
doi:10.1109/TIE.2017.2723867

33. Kushwaha, B. K., G. Rituraj, and P. Kumar, "3-D analytical model for computation of mutual inductance for different misalignments with shielding in wireless power transfer system," IEEE Transactions on Transportation Electrification, Vol. 3, No. 2, 332-342, 2017.
doi:10.1109/TTE.2017.2649881

34. Wu, L., K. Lu, and Y. Xia, "Mutual inductance calculation of two coaxial solenoid coils with iron core," 2018 21st International Conference on Electrical Machines and Systems (ICEMS), Jeju, Korea, 2018.

35. Cui, X., "Magnetic field and inductance of filament conductor segment model with current continuity," Acta Physica Sinica, Vol. 69, No. 3, 93-104, 2020.
doi:10.7498/aps.69.20191212

36. Piri, M., V. Jaros, and M. Frivaldsky, "Verification of a mutual inductance calculation between two helical coils," 2015 16th International Scientific Conference on Electric Power Engineering (EPE), Kouty nad Desnou, Czech Republic, 2015.