Dynamic Characteristics Analysis of Magnetic Levitation Rotor Considering Unbalanced Magnetic Pull

Authors

  • Shuyue Zhang School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China
  • Zaibin Chen School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China
  • Xiaolian Lva School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China
  • Hongli Yan School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China
  • Jihao Wu 2State Key Laboratory of Technologies in Space Cryogenic Propellants, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing, 100190, China 3University of Chinese Academy of Sciences, Beijing, 100190, China
  • Yuanliang Zhou School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

DOI:

https://doi.org/10.13052/2022.ACES.J.371010

Keywords:

frequency response, magnetic levitation rotor, resonance, rotor orbit, unbalanced magnetic pull, vibration

Abstract

The working principle of the motor can cause unbalanced magnetic pull (UMP) between stator and rotor unavoidably. Previous research about nonlinear vibration excited by UMP was focused on the rotor supported by traditional mechanical bearings or gas bearings. However, the magnetic levitation rotor is particular due to the low rigidity provided by the active magnetic bearing (AMB). UMP amplifies rotor vibration in the resonant zone and further excites the nonlinear electromagnetic force, thus producing different vibration phenomena. The paper calculates rotor orbit, spectra analysis, and time-history plot with numerical methods and studies the influence of the rotation speed, eccentricity, key control parameters, and UMP on rotor dynamics in detail. Results illustrate displacement response spectra of the magnetic levitation rotor are quite different from previous research results. The appearing frequency components are inducted by universal formulas in this paper. Furthermore, research shows a slight adjustment of the control parameters affect significantly harmonic components and vibration characteristics. The research results have practical reference significance for fault diagnosis, feature recognition, and controller optimization of the AMB-rotor system.

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Author Biographies

Shuyue Zhang, School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

Shuyue Zhang received a Ph.D. from the University of Chinese Academy of Sciences and a Bachelor’s degree from Dalian University of Technology. Now she works at the School of Mechanical and Electrical Engineering, Chuzhou University. Her main research interests include rotor dynamic and active magnetic bearing control.

Zaibin Chen, School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

Zaibin Chena received his Ph.D. from University of Chinese Academy of Sciences and a bachelor degree from Sichuan University. Now he is an Assistant Professor in School of Mechanical and Electrical Engineering, Chuzhou University. His main research interests include servo motors and their control.

Xiaolian Lva, School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

Xiaolian Lva received her Ph.D. from Shenyang Agricultural University. She is currently serving as a Professor in School of Mechanical and Electrical Engineering at Chuzhou University. Her research mainly concerns mechanical design theory and its application.

Hongli Yan, School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

Hongli Yana now is an Associate Professor in School of Mechanical and Electrical Engineering, Chuzhou University. Her research interests mainly are communication system modeling and wireless communication.

Jihao Wu, 2State Key Laboratory of Technologies in Space Cryogenic Propellants, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing, 100190, China 3University of Chinese Academy of Sciences, Beijing, 100190, China

Jihao Wua is currently a Professor and Ph.D. Supervisor of University of Chinese Academy of Sciences. His research interests are magnetic levitation rotating machinery, low temperature rotating machinery, and refrigeration machine.

Yuanliang Zhou, School of Mechanical and Electrical Engineering, Chuzhou University, Chuzhou 239000, China

Yuanliang Zhou received a Ph.D. from Dalian University of Technology. Now he is an Associate Professor of Mechanical and Electrical Engineering, at Chuzhou University. His research mainly concerns electromagnetic field simulation, electromagnetic materials, and their engineering application.

References

G. Schweitzer, E. H. Maslen, H. Bleuler, M. Cole, and A. Traxler, Magnetic Bearings Theory, Design, and Application to Rotating Machinery, Springer-Verlag, Berlin, 2009.

S. Y. Yoo, W. R. Lee, Y. C. Bae, and M. Noh, “Design of magnetically levitated rotors in a large flywheel energy storage system from a stability standpoint,” Journal of Mechanical Science and Technology, vol. 24, no. 1, pp. 231-235,Jan. 2010.

S. Y. Zhang, W. Pan, C. B. Wei, and J. H. Wu, “Structure design and simulation research of active magnetic bearing for helium centrifugal cold compressor,” Proc. of the Cryogenic Engineering Conference and International Cryogenic Materials Conference, Madison WI, Jul. 2017.

R. Belmans, W. Geysen, and H. Jordan, “Unbalanced magnetic pull and homopolar flux in three phase induction motors with eccentric rotors,” International Conference on Electrical Machines, vol. 3, pp. 916-921, 1982.

R. K. Gustavsson and J. O. Aidanpaa, “The influence of nonlinear magnetic pull on hydropower generator rotors,” Journal of Sound and Vibration, vol. 297, no. 3-5, pp. 551-562, 2006.

U. Werner, “Rotordynamic model for electromagnetic excitation caused by an eccentric and angular rotor core in an induction motor,” Archive of Applied Mechanics, vol. 8, no. 3, no. 8, pp. 1215-1238, 2013.

H. Kim, J. Nerg, T. Choudhury, and J. Sopanen, “Rotordynamic Simulation Method of Induction Motors Including the Effects of Unbalanced Magnetic Pull,” IEEE Access, no. 8, pp. 21631-21643, 2020.

R. Belmans, A. Vandenput, and W. Geysen, “Calculation of the flux density and the unbalanced pull in two pole induction machines,” Archiv Für Elektrotechnik, vol. 70, no. 3, pp. 151-161, 1987.

D. Guo, F. Chu, and D. Chen, “The unbalanced magnetic pull and its effects on vibration in a three-phase generator with eccentric rotor,” Journal of Sound and Vibration, vol. 254, no. 2, pp. 297-312, 2002.

X. Xu, Q. Han, and F. Chu, “Electromagnetic vibration characteristics of an eccentric rotor with a static load,” Qinghua Daxue Xuebao/Journal of Tsinghua University, vol. 56, no. 02, pp. 176-184, 2016.

X. Xu, Q. Han, and F. Chu, “Nonlinear vibration of a generator rotor with unbalanced magnetic pull considering both dynamic and static eccentricities,” Archive of Applied Mechanics, vol. 86, no. 8, pp. 1521-1536, 2016.

X. Xu, Q. Han, and F. Chu, “A four degrees-of-freedom model for a misaligned electrical rotor,” Journal of Sound & Vibration, no. 358. pp. 356-374, 2015.

H. Liu, Y. Wu, and X. Wang, “Nonlinear normal modes and primary resonance for permanent magnet synchronous motors with a nonlinear restoring force and an unbalanced magnetic pull,” Nonlinear Dynamics, vol. 97, no. 2, pp. 1197-1213, 2019.

L. Zhang, Z. Ma, and B. Song, “Dynamic characteristics of a rub-impact rotor-bearing system for hydraulic generating set under unbalanced magnetic pull,” Archive of Applied Mechanics, vol. 83, no. 6, pp. 817-830, 2013.

H. Li, H. Geng, H. Lin, and S. Feng, “Analysis on dynamical properties of the foil bearing rotor system with the unbalanced magnetic pull,” International Journal of Applied Electromagnetics and Mechanics, vol. 64, no. 1-4, pp. 181-189,2020.

T. Du, H. Geng, Y. Sun, H. Lin, Zhang Yanan, L. Yu, “Theoretical and experimental researches of active magnetic bearing systems for high-speed PM machines,” International Journal of Applied Electromagnetics and Mechanics, vol. 59, no. 3, pp. 891-901, 2019.

J. Li, J. Zhou, and H. Wu, “Vibration mechanism analysis of magnetic levitation rotor system for low temperature waste heat power generation,” Proc. of 16th International Symposium on Magnetic Bearings, Beijing, China, no. 57, pp. 1-8, 2018.

D. Chong, P. Ilya, J. Pyrhonen, X. Bao, “Unbalanced magnetic pull compensation with active magnetic bearings in a 2 MW high-speed induction machine by FEM,” IEEE Transactions on Magnetics, vol. 54, no. 8, 2018.

Z. Wang, C. Mao, and C. Zhu, “A design method of PID controller for active magnetic bearings-rigid rotor systems,” Process of the CSEE, vol. 38, no. 20, pp. 6154-6163, 2018.

B. Wu, W. Sun, Z. Li, and Z. Li, “Circular whirling and stability due to unbalanced magnetic pull and eccentric force,” Journal of Sound and Vibration, vol. 330, no. 21, pp. 4949-4954, 2011.

J. C. Ji, C. Hansen, and A. Zander, “Nonlinear dynamics of magnetic bearing systems,” Journal of Intelligent Material Systems & Structures, vol. 19, no. 12, pp. 1471-1491, 2018.

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Published

2022-10-31

How to Cite

[1]
S. . Zhang, Z. . Chen, X. . Lva, H. . Yan, J. . Wu, and Y. . Zhou, “Dynamic Characteristics Analysis of Magnetic Levitation Rotor Considering Unbalanced Magnetic Pull”, ACES Journal, vol. 37, no. 10, pp. 1096–1109, Oct. 2022.