2021-02-07
Spatial Magnetic Field Calculations for Coreless Circular Coils with Rectangular Cross-Section of Arbitrary Turn Numbers
By
Progress In Electromagnetics Research M, Vol. 101, 9-23, 2021
Abstract
In a wireless magnetic induction communication system, the magnetic field distribution of the current-carrying coil affects the communication effect between the communication transceiver and receiver. In the study of magnetic field distribution, it was found that magnetic induction intensity and magnetic flux were important parameters to measure the effectiveness of communication. Aiming at the circular coils with rectangular cross-section of any turn numbers, this paper proposed an improved algorithm to calculate the magnetic induction intensity at any spatial position based on Biot-Savart law. At the same time, the calculation formula of the magnetic flux at the receiving point was also given. The coils were modeled and simulated with COMSOL software. The correctness of the improved algorithm was verified and compared with the traditional formula and simulation results, especially in the near field, which provided an important theoretical support for the further study of mutual inductance in the wireless magnetic induction communication system.
Citation
Yiming Wang, Xu Xie, and Hengfeng Wang, "Spatial Magnetic Field Calculations for Coreless Circular Coils with Rectangular Cross-Section of Arbitrary Turn Numbers," Progress In Electromagnetics Research M, Vol. 101, 9-23, 2021.
doi:10.2528/PIERM21010802
References

1. Conway, J. T., "Trigonometric Integrals for the magnetic field of the coil of rectangular cross section," IEEE Transactions on Magnetics, Vol. 42, No. 5, 1538-1548, 2006.
doi:10.1109/TMAG.2006.871084        Google Scholar

2. Ravaud, R., G. Lemarquand, S. Babic, et al. "Cylindrical magnets and coils: Fields, forces, and inductances," IEEE Transactions on Magnetics, Vol. 46, No. 9, 3585-3590, 2010.
doi:10.1109/TMAG.2010.2049026        Google Scholar

3. Guo, Z. Y. and D. J. Liu, "A numerical calculation method for spatial magnetic field of circular current," Science Technology and Engineering, Vol. 13, No. 29, 8715-8720, 2013.        Google Scholar

4. Chen, X. W., L. Wu, J. W. Zhang, et al. "Theoretical analysis and discussion on magnetic field of current-carrying coil and finite-length straight solenoid," College Physics, Vol. 38, No. 10, 23-27, 2019.        Google Scholar

5. Chen, X. W., T. H. Xie, J. W. Zhang, et al. "On Theoretical calculation and experimental discussion of magnetic field due to Helmholtz coil," Journal of Southwest China Normal University (Natural Science Edition), Vol. 45, No. 3, 40-45, 2020.        Google Scholar

6. Wang, Y., "Analysis of axial magnetic field of coil coupler," Instrument Technology, No. 4, 14-16, 2020.        Google Scholar

7. Guru, B. S. and H. R. Hiziroglu, Electromagnetic Field Theory Fundamentals, 2nd Ed., China Machine Press, 2012.

8. Li, L., Antenna and Radio Wave Propagation, Science Press, 2009.

9. Wang, Y. M., X. Xie, Y. Zhou, et al. "Calculation and modeling analysis of mutual inductance between coreless circular coils with rectangular cross section in arbitrary spatial position," Proceedings of IEEE 5th Information Technology and Mechatronics Engineering Conference, 1258-1267, Chongqing, China, 2020.        Google Scholar

10. He, X. X., W. P. Ding, and J. X. Liu, Engineering Electromagnetic Field, Electronic Industry Press, 2011.