Abstract
The high Tc-superconducting maglev system relies on the diamagnetic and magnetic flux pinning characteristics of the superconductor in a magnetic field; its performance is closely related to the uniformity of the magnetic field along the magnetic track. How the amplitude of magnetic field fluctuations on the stability and dynamic behavior of magnetic levitation is still an open issue so far. In this paper, a large magnetic field fluctuation (∆Bz) with an adjustable fluctuation amplitude was generated by covering the silicon steel sheet on the magnetic track, which was superimposed on the original small fluctuating magnetic field (δBz) along the permanent magnetic track. Based on this platform, we have studied the combined influence of ∆Bz and ∆Bz on the dynamic characteristics of the magnetic levitation system. Very significant levitation oscillation behavior was found with its amplitude linearly varying with the magnetic fluctuation amplitude. However, the dynamical behavior of the levitation was governed by the cooperation of two driving forces of different characteristic frequencies, presenting a periodical motion to a period-doubling bifurcation, and finally evolving into a chaotic state under certain conditions.
Similar content being viewed by others
References
Bbrandt, E.H.: Levitation in physics. Science 243, 349 (1989)
Hull, J.R., Cansiz, A.: Vertical and lateral forces between a permanent magnet and a high-temperature superconductor. Appl. Phys. 86, 6396 (1999)
Werfel, F. N., Floegel-Delor, U., Rothfeld, R., Riedel, T., Goebel, B., Wippich, D., Schirrmeister, P.: “Schirrmeister, Superconductor bearings, flywheels and transportation,” Supercond. Sci. Technol. 25, 014007 (2012)
Strasik, M., J. R. Hull, J. A. Mittleider, J. F. Gonder, P. E. Johnson, K. E. McCrary, C. R. McIver.: An overview of boeing flywheel energy storage systems with high-temperature superconducting bearings. Supercond. Sci. Technol. 23, 034021 (2010)
Schultz, L., de Haas, O., Verges, P., Beyer, C., Röhlig, S., Olsen, H., Kuhn, L., Berger, D., Noteboom, U., Funk, U.: Superconductively levitated transport system-the supratrans project. IEEE Trans. Appl. Supercond. 15, 2301 (2005)
Zhou, D.J., Zhao, L.F., Ke, C., Cui, C.Y., Zhang, Y., Zhao, Y.: High-Tc superconducting maglev prototype vehicle running at 160 km/h in an evacuated circular track. IEEE Trans. Appl. Supercond. 28, 3600504 (2018)
Zhao, Y., Wang, J.S., Wang, S.Y., Ren, Z.Y., Song, H.H.: Applications of YBCO melt textured bulks in maglev technology. Phys. C. 412, 771 (2004)
Chen, S., Liu, J., Zhou, D., Zhuang, B., Chen, S., Zhao, Y.: The longitudinal inhomogeneity of applied magnetic field above PMG. Phys. C: Supercond. & Its Appl. 569, 1353561 (2020)
Terentiev, A.N., Lee, H.J., Kim, C.J., et al.: Identification of magnet and superconductor contributions to the ac loss in a magnet-superconductor levitation system. Phys. C 290, 291 (1997)
Smolyak, B. M., Ermakov, G. V., Chubraeva, L. I. : The effect of ac magnetic fields on the lifting power of levitating superconductors. Supercond. Sci. Technol. 20, 406 (2007)
Zhao, Y., Ji, C., Yang, Y., Zhao, L., Zhou, D., Zhang, Y.: Dynamical behavior of HTS maglev system over a NdFeB guideway with a fluctuant field distribution. IEEE Trans. Appl. Supercond. 29, 3600606 (2019)
Lin, D., Zhao, L., Zhou, D., Cheng, C., Zhang, Y., Zhao, Y.: Dynamic characteristics of levitated ybco bulk running above the permanent magnet guideway with fluctuating magnetic field. IEEE Trans. Appl. Supercond. 99, 3603808 (2020)
Li, J., Li, H., Zheng, J., Zheng, B., Huang, H., Deng, Z.: Nonlinear vibration behaviors of high-Tc superconducting bulks in an applied permanent magnetic array field. J. Appl. Phys.121, 243901 (2017)
Wei, J.J., Cai, F.N., Zhou, D.J., Zhao, L.F., Cheng, C.H., Zhao, Y.: Magnetic resistance of HTS maglev moving above a permanent magnet guideway with large magnetic field fluctuations. J. Supercond. Novel Mag. 34, 1371 (2021)
Cai, F., Zhou, D., Wang, J., Wei, J., Yang, X., Cheng, C., Zhao, Y.: Dynamical magnetic resistance of HTS maglev vehicle in an evacuated tube track. IEEE Trans. Appl. Supercond. 31, 3603204 (2021)
Sharkovsky, O.: Coexistence of the cycles of a continuous mapping of the line into itself. Ukr. Math. Z 16, 61 (1964)
Li, T.Y., Yorke, J.A.: Period 3 implies chaos. Am. Math. Monthly 82, 985 (1975)
Moon, F.C., Weng, K.-C., Chang, P.-Z.: Dynamic magnetic forces in superconducting ceramics. J. Appl. Phys. 66, 5643 (1988)
Hikihara, T., Moon, F.C.: Chaotic levitated motion of a magnet supported by superconductor. Phys. Lett. A 191, 279 (1994)
Zhuo, P. J., Zhang, Z. X., Gou, X. F.: Chaotic motion of a magnet levitated over a superconductor. IEEE Trans. Appl. Supercond. 26, 3600406 (2016)
Funding
This work was supported in part by the Industrial Guidance (Key) Project of Fujian Science and Technology Department (Grant No. 2020H0013), Sichuan Applied Basic Research Project under Grant 2018JY0003, and the Open Project of the Key Laboratory of Maglev Train and Maglev Technology, Ministry of Education of China.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Zhao, Y., Lin, D., Cai, F. et al. Oscillation Characteristics of HTS Maglev Under Strong Magnetic Field Fluctuations. J Supercond Nov Magn 35, 359–372 (2022). https://doi.org/10.1007/s10948-021-06080-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-021-06080-w