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An investigation on lateral and torsional coupled vibrations of high power density PMSM rotor caused by electromagnetic excitation

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Abstract

Electromagnetic excitation in high power density permanent magnet synchronous motors (PMSMs) due to eccentricity is a significant concern in industry; however, the treatment of lateral and torsional coupled vibrations caused by electromagnetic excitation is rarely addressed, yet it is very important for evaluating the stability of dynamic rotor vibrations. This study focuses on an analytical method for analyzing the stability of coupled lateral/torsional vibrations in rotor systems caused by electromagnetic excitation in a PMSM. An electromechanically coupled lateral/torsional dynamic model of a PMSM Jeffcott rotor is derived using a Lagrange–Maxwell approach. Equilibrium stability was analyzed using a linearized matrix of the equation describing the system. The stability criteria of coupled torsional–lateral motions are provided, and the influences of the electromagnetic and mechanical parameters on mechanical vibration stability and nonlinear behavior were investigated. These results provide better understanding of the nonlinear response of an eccentric PMSM rotor system and are beneficial for controlling and diagnosing eccentricity.

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References

  1. Wang, M., Tong, C., Song, Z., et al.: Performance analysis of an axial magnetic-field-modulated brushless double-rotor machine for hybrid electric vehicles. IEEE Trans. Ind. Electron. 66(1), 806–817 (2018)

    Article  Google Scholar 

  2. Chen, X., Hu, J., Peng, Z., et al.: Bifurcation and chaos analysis of torsional vibration in a PMSM-based driven system considering electromechanically coupled effect. Nonlinear Dyn. 88, 1–16 (2017)

    Article  Google Scholar 

  3. Wu, S., Tong, W., Sun, R., et al.: A generalized method of electromagnetic vibration analysis of amorphous alloy permanent magnet synchronous machines. IEEE Trans. Magn. 54(11), 1–5 (2018)

    Google Scholar 

  4. Yang, L., Jian, L., Qu, R., et al.: Electromagnetic force and vibration analysis of permanent magnet assisted synchronous reluctance machines. IEEE Trans. Ind. Appl. 54(5), 4246–4256 (2018)

    Article  Google Scholar 

  5. Wang, S., Hong, J., Sun, Y., et al.: Analysis and experimental verification of electromagnetic vibration mode of PM brush DC motors. IEEE Trans. Energy Convers. 33(3), 1411–1421 (2018)

    Article  Google Scholar 

  6. Shin, H.J., Choi, J.Y., Park, H.I., et al.: Vibration analysis and measurements through prediction of electromagnetic vibration sources of permanent magnet synchronous motor based on analytical magnetic field calculations. IEEE Trans. Magn. 48(11), 4216–4219 (2012)

    Article  Google Scholar 

  7. Liang D, Z., Jian, L., Qu, R., et al.: Adaptive second-order sliding-mode observer for PMSM sensorless control considering VSI nonlinearity. IEEE Trans. Power Electron. 33(10), 8994–9004 (2018)

    Article  Google Scholar 

  8. Lundström, N.L.P., Aidanpää, J.O.: Dynamic consequences of electromagnetic pull due to deviations in generator shape. J. Sound Vib. 301(1–2), 207–225 (2007)

    Article  Google Scholar 

  9. Chuan, H., Shek, J.K.H.: Calculation of unbalanced magnetic pull in induction machines through empirical method. IET Electr. Power Appl. 12(9), 1233–1239 (2018)

    Article  Google Scholar 

  10. Dorrell, D.G.: Sources and characteristics of unbalanced magnetic pull in 3-phase cage induction motors with axial-varying rotor eccentricity. IEEE Trans. Ind. Appl. 47(1), 12–24 (2009)

    Article  Google Scholar 

  11. Zhang, G., Wu, J., Hao, L.: Analysis on the amplitude and frequency characteristics of the rotor unbalanced magnetic pull of a multi-pole synchronous generator with inter-turn short circuit of field windings. Energies 11(1), 1–20 (2018)

    Google Scholar 

  12. Li, Y., Lu, Q., Zhu, Z.Q.: Unbalanced magnetic force prediction in permanent magnet machines with rotor eccentricity by improved superposition method. IET Electr. Power Appl. 11(6), 1095–1104 (2017)

    Article  Google Scholar 

  13. Dorrell, D.G., Hsieh, M.F., Guo, Y.G.: Unbalanced magnet pull in large brushless rare-earth permanent magnet motors with rotor eccentricity. IEEE Trans. Magn. 45(10), 4586–4589 (2009)

    Article  Google Scholar 

  14. Dorrell, D.G., Popescu, M., Dan, M.I.: Unbalanced magnetic pull due to asymmetry and low-level static rotor eccentricity in fractional-slot brushless permanent-magnet motors with surface-magnet and consequent-pole rotors. IEEE Trans. Magn. 46(7), 2675–2685 (2010)

    Article  Google Scholar 

  15. Jiang, X.T., Li, W.K., Chen, Y.: Vibration characteristics research for the low speed direct drive high power PMSM. Electr. Mach. Control 21(7), 73–77 (2017)

    Google Scholar 

  16. Yu, M., Zuo, S., Cao, J.: Effects of rotor position error on longitudinal vibration of electric wheel system in in-wheel PMSM driven vehicle. IEEE/ASME Trans. Mechatron. 23(3), 1314–1325 (2018)

    Article  Google Scholar 

  17. Chen, C., Dai, L.: Bifurcation and chaotic response of a cracked rotor system with viscoelastic supports. Nonlinear Dyn. 50(3), 483–509 (2007)

    Article  MathSciNet  Google Scholar 

  18. Al-Shudeifat, M.A., Butcher, E.A., Stern, C.R.: General harmonic balance solution of a cracked rotor-bearing-disk system for harmonic and sub-harmonic analysis: analytical and experimental approach. Int. J. Eng. Sci. 48(10), 921–935 (2010)

    Article  Google Scholar 

  19. Wu, W., Xiao, B., Hu, J., et al.: Experimental investigation on the air-liquid two-phase flow inside a grooved rotating-disk system: flow pattern maps. Appl. Therm. Eng. 133, 33–38 (2018)

    Article  Google Scholar 

  20. Mihajlović, N., van de Wouw, N., Rosielle, P.C.J.N., et al.: Interaction between torsional and lateral vibrations in flexible rotor systems with discontinuous friction. Nonlinear Dyn. 50(3), 679–699 (2007)

    Article  Google Scholar 

  21. Rao, X.B., Chu, Y.D., Chang, Y.X., et al.: Dynamics of a cracked rotor system with oil-film force in parameter space. Nonlinear Dyn. 88(4), 2347–2357 (2017)

    Article  Google Scholar 

  22. Lee, K.H., Han, H.S., Park, S.: Bifurcation analysis of coupled lateral/torsional vibrations of rotor systems. J. Sound Vib. 386, 372–389 (2016)

    Article  Google Scholar 

  23. Tang, R.Y.: Modern Permanent Magnet Machines Theory and Design, 1st edn. China Machine Press, Beijing (2005). (in Chinese)

    Google Scholar 

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Funding

This work was funded by the National Natural Science Foundation of China (Grant Nos.: 51705051 and U1864210), the Basic Natural Science and Frontier Technology Research Program of the Chongqing Municipal Science and Technology Commission (Grant No.: ccstc2017jcyjAX0169), the Science and Technology Research Project of the Chongqing Education Committee (Grant No.: KJ1705135), China Postdoctoral Science Foundation (2018M643420), Chongqing Special Postdoctoral Science Foundation (Grant No.: XmT2018002), and Open Foundation of the State Key Laboratory of Fluid Power and Mechatronic Systems (Grant No.: GZKF-201808).

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Authors and Affiliations

  1. School of Intelligent Manufacturing Engineering, Chongqing University of Arts and Sciences, Chongqing, 402160, China

    Xing Chen

  2. School of Mechatronics and Vehicle Engineering, Chongqing Jiaotong University, Chongqing, 400074, China

    Renxiang Chen & Tao Deng

  3. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, 310027, China

    Xing Chen

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  1. Xing Chen
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  2. Renxiang Chen
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  3. Tao Deng
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Correspondence to Xing Chen.

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Chen, X., Chen, R. & Deng, T. An investigation on lateral and torsional coupled vibrations of high power density PMSM rotor caused by electromagnetic excitation. Nonlinear Dyn 99, 1975–1988 (2020). https://doi.org/10.1007/s11071-019-05436-1

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  • DOI: https://doi.org/10.1007/s11071-019-05436-1

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