Abstract
A bearingless permanent magnet synchronous motor (BPMSM) has two sets of stator windings, torque windings and suspension force windings. By analyzing the flux linkage intersection between the two sets of windings, a method of transforming mechanical coordinates to electrical coordinates is put forward. According to this method, flux linkage equations and voltage equations of the two stator windings are derived. The electromagnetic torque equation of the BPMSM is derived based on the analysis of the role of Lorentz force in the BPMSM. After analyzing the mathematical formula of various sort radial forces in the BPMSM, a complete function of radial suspension forces for the BPMSM is obtained. Finally, an experimental system control diagram and some test results are discussed. This mathematical model provides a theoretical foundation for BPMSM simulation study, experiment waveform analysis and structure design.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chiba A, Power D T, Rahman M A. Characteristics of a bearingless induction motor. IEEE Trans Magn, 1991, 27(6): 5199–5201
Bu W S, Huang S H, Wan S M, et al. A kind of generalized analytical model on inductance matrixes of four-pole bearingless motor (in Chinese). In: 2nd IEEE Conference on Industrial Electronics and Applications. Harbin: IEEE, 2007. 1657–1662
Amrhein W, Silber S, Nenninger K. Levitation forces in bearingless permanent magnet motors. IEEE Trans Magn, 1999, 35(5): 4052–4054
He Y K, Nian H, Luan B T. The optimized air-gap flux oriented control of bearingless permanent magnet asynchronous motor (in Chinese). Proc CSEE, 2004, 24(6): 116–121
Ooshima M, Kurokawa T, Sakagami M, et al. An identification method of suspension force and magnetic unbalance pull force parameters in buried-type IPM bearingless motors. In: IEEE Power Engineering Society General Meeting. Denver: IEEE, 2004, 2: 1276–1279
Nian H, He Y K. Analytic modeling and the feedback control of the magnetic levitation force for an induction-type bearingless motor (in Chinese). Proc CSEE, 2003, 23(11): 143–148
Zhou Y, He Y K. Study on design and control of permanent magnet-type bearingless motor (in Chinese). J Zhejiang Univ (Eng Sci), 2006, 40(1): 14–19
Nian H, He Y K. The design and operation analysis of bearingless permanent magnetic motor (in Chinese). J Zhejiang Univ (Eng Sci), 2005, 39(6): 891–895
Nian H, He Y K, Zhou Y. Analytical modeling and parameter extraction of the magnetic levitation force for an inset permanent magnet type bearingless motor (in Chinese). Chin J Mech Eng, 2006, 42(10): 53–58
Zhu H Q, Wu L, Zhou Y, et al. The research on rotor magnetic flux oriented control system for bearingless permanent magnet synchronous motor (in Chinese). Eng Sci, 2006, 8(6): 35–40
Deng J M. The Digital Control System Research on Bearingless Permanent Magnet Synchronous Motor (in Chinese). Dissertation of Masteral Degree. Zhenjiang: Jiangsu University, 2007
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Hi-Tech Research and Development Program of China (“863” Project) (Grant No. 2007AA04Z213)
Rights and permissions
About this article
Cite this article
Zhu, H., Cheng, Q. & Wang, C. Modeling of bearingless permanent magnet synchronous motor based on mechanical to electrical coordinates transformation. Sci. China Ser. E-Technol. Sci. 52, 3736–3744 (2009). https://doi.org/10.1007/s11431-009-0289-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-009-0289-8