The dynamic performance optimization of magnetic gear devices is essential to their industrialization. In this study, upon considering the magnetic field coupling characteristics of different components of a field modulated magnetic gear with intersecting axes (FMMGIA), we first obtained the magnetic coupling stiffnesses of these components via the finite element method. On this basis, we further established a dynamic model as well as the corresponding differential equations for the magnetic gear. Thereafter, we analyzed the modal characteristics and the influences of the primary design parameters on the modal frequency of the FMMGIA system. The results indicated that the magnetic coupling stiffnesses among the FMMGIA components were significantly lower than the meshing stiffnesses of the mechanical gears. In addition, the magnetic gear system consisted of three orders of torsional modals as well as three orders of horizontal vibration modals, among which the torsional modal frequencies of both the input and output rotors were substantially lower than others. Finally, parameters such as the minimum axial length and the permanent magnet remanence demonstrated considerable have impacts on the modal frequencies of the FMMGIA system.
2. Rasmussen, P. O., T. O. Andersen, F. T. Jorgensen, and O. Nielsen, "Development of a high performance magnetic gear," IEEE Transactions on Industry Applications, Vol. 41, No. 3, 764-770, 2005.
3. Percebon, L. A., R. Ferraz, D. L. Ferreira, and V. Mauricio, "Modelling of a magnetic gear considering rotor eccentricity," IEEE International Electric Machines and Drives Conference (IEMDC), 2011.
4. Liu, C. and K. T. Chau, "Electromagnetic design of a new electrically controlled magnetic variable- speed gearing machine r," Energies, Vol. 7, 1539-1554, 2014.
5. Iwasaki, N., M. Kitamura, and Y. Enomoto, "Optimal design of permanent magnet motor with magnetic gear and prototype verification," Electrical Engineering in Japan, Vol. 194, No. 1, 60-69, 2016.
6. Mezani, S., K. Atallah, and D. Howe, "A high-performance axial-field magnetic gear," Journal of Applied Physics, Vol. 99, No. 8, R303, 2006.
7. Du, S., J. Jiang, Y. Zhang, and Y. Gong, "A magnetic gearing," Transactions of China Electrotechnical Society, Vol. 25, No. 9, 41-46, 2010.
8. Jian, L., G. Xu, J. Song, H. Xue, D. Zhao, and J. Liang, "Optimum design for improving modulating-effect of coaxial magnetic gear using response surface methodology and genetic algorithm," Progress In Electromagnetics Research, Vol. 116, 297-312, 2011.
9. Uppalapati, K. K. and J. Z. Bird, "An iterative magnetomechanical deflection model for a magnetic gear," IEEE Transactions on Magnetics, Vol. 50, No. 2, 7005904, 2014.
10. Hao, X. H., X. J. Zhu, and H. Zhang, "Free vibration of the electromechanical integrated magnetic gear system," Journal of Vibroengineering, Vol. 17, No. 3, 1120-1132, 2015.
11. Montague, R., C. Bingham, and K. Atallah, "Servo control of magnetic gears," IEEE/ASME Transactions on Mechatronics, Vol. 17, No. 2, 269-278, 2012.
12. Liu, X., Y. Y. Zhao, S. D. Huang, M. Lu, and Y. D. Chen, "Investigation of the transient and vibration characteristics of a dual-flux-modulator coaxial magnetic gear," Diangong Jishu Xuebao, Vol. 34, No. 9, 1865-1874, 2019.
13. Wang, Z., J. Chen, M. Cheng, and K. T. Chau, "Field-oriented control and direct torque control for paralleled VSIs fed PMSM drives with variable switching frequencies," IEEE Transactions on Power Electronics, Vol. 31, No. 3, 2417-2418, 2016.
14. Liu, Y., S. L. Ho, and W. N. Fu, "A novel magnetic gear with intersecting axes," IEEE Transactions on Magnetics, Vol. 50, No. 11, 8001804, 2014.
15. Hao, X., H. Q. Zhu, X. M. Guan, and D. Pan, "Magnetic gear with intersecting axes and straight stationary pole-pieces," Advances in Mechanical Engineering, Vol. 10, No. 11, 1-10, 2018.
16. Zhang, L., Y. Wang, K. Wu, R. Y. Sheng, and Q. L. Huang, "Dynamic modeling and vibration characteristics of a two-stage closed-form planetary gear train," Mechanism and Machine Theory, Vol. 97, 12-28, 2016.