Sensorless PMSM Control with Sliding Mode Observer Based on Sigmoid Function

Abstract

It is impossible to install or apply position sensors appropriately in some special applications of PMSM. Sensorless PMSM control is an appropriate choice to solve some problems in the control of PMSM. It is necessary to acquire an estimated position precisely and avoid the chattering phenomenon for sensorless PMSM control. This paper proposes an algorithm for estimating position with sliding mode observer (SMO) based on sigmoid function, and a sufficient condition that leads SMO into a sliding surface is acquired using Lyapunov stabilization analysis. The outcome of this study shows that SMO based on sigmoid function for sensorless PMSM control can estimate position with high precision and avoid chattering phenomenon under the condition of different velocity and load. However, the estimated position needs to be compensated for according to load, and the compensating value is in proportion to the value of the current.

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References

  1. 1.

    Zhou Yu, Li H, Wang W, Cao Q, Zhou S (2015) Improved method for calculating magnetic field of surface-mounted permanent magnet machines accounting for slots and eccentric magnet pole. J Electr Eng Technol 10(3):1025–1034

    Article  Google Scholar 

  2. 2.

    Chen Z, Tomita M, Doki S, Okuma S (2003) An extended electromotive force model for sensorless control of interior permanent magnet synchronous motors. IEEE Trans Indus Electron 50(2):288–295

    Article  Google Scholar 

  3. 3.

    Zhou Y, Li HS, Meng GW, Zhou S, Cao Q (2015) Analytical calculation of magnetic field and cogging torque in surface-mounted permanent-magnet machines accounting for any eccentric rotor shape. IEEE Trans Industr Electron 62(6):1–1

    Google Scholar 

  4. 4.

    M. Aryanezhad A novel designing approach to dual rotor switched reluctance motor based electric vehicles. In: 2015 30th International Power System Conference (PSC); IEEE published, 2015:54-59

  5. 5.

    Maidum M (1992) Rotor position estimation scheme of a permanent magnet synchronous machine for high performance variable speed drive. Houston, USA, IEEE IAS, pp 48–53

    Google Scholar 

  6. 6.

    Bose Bimal K (2003) Modern power electrics and AC drives. China Machine Press, Beijing, pp 157–160

    Google Scholar 

  7. 7.

    YS Kim, SK Kim, MRAS based sensorless control of permanent magnet synchronous motor. In: IEEE SICE Annual Conference, 2003, Fukui, Japan:1632–1637.

  8. 8.

    Zhe S, Rong-xiang Z, Ru-zhen D (2007) Research on sensorless control method of PMSM based on an adaptive sliding mode observer. Proc CSEE 27(3):23–27

    Google Scholar 

  9. 9.

    Mercorelli P (2012) A hysteresis hybrid extended kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans Ind Appl 48(6):1940–1949

    MathSciNet  Article  Google Scholar 

  10. 10.

    Mercorelli P (2012) A two-stage augmented extended kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans Industr Electron 59(11):4236–4247

    Article  Google Scholar 

  11. 11.

    Wang Y, Yongxiang Xu, Zou J (2019) Sliding mode sensorless control of PMSM with inverter nonlinearity compensation. IEEE Trans Power Electron 34(10):10206–10220

    Article  Google Scholar 

  12. 12.

    Liang D, Li J, Ronghai Qu, Kong W (2018) Adaptive second-order sliding-mode observer for PMSM sensorless control considering VSI nonlinearity. IEEE Trans Power Electron 33(10):8994–9004

    Article  Google Scholar 

  13. 13.

    Wen-qi LU, Yu-wen HU, Du X (2010) Sensorless vector control using a novel sliding mode observer for PMSM speed control system. Proc CSEE 30(33):78–83

    Google Scholar 

  14. 14.

    Ran L, Zhao G, Xu S (2012) Sensorless control of permanent magnet synchronous motor based on extended sliding mode observer. Trans China Electrotech Soc 27(3):79–85

    Google Scholar 

  15. 15.

    Lee H, Lee J (2013) Design of iterative sliding mode observer for sensorless PMSM control. IEEE Trans Control Syst Technol 21(4):1394–1399

    Article  Google Scholar 

  16. 16.

    Sheng L, Li W, Wang Y, Fan M, Yang X (2017) Sensorless control of a shearer short-range cutting interior permanent magnet synchronous motor based on a new sliding mode observer. IEEE Access 5:18439–18450

    Article  Google Scholar 

  17. 17.

    Kim H, Son J, Lee J (2011) A high-speed sliding-mode observer for the sensorless speed control of a pmsm. IEEE Trans Indus Electron 58(9):4069–4077

    Article  Google Scholar 

  18. 18.

    Corley MJ, Lorenz RD (1998) Rotor position and velocity estimation for a salient-pole permanent magnet synchronous machine at standstill and high speeds. IEEE Trans Indus Appl 34(4):784–789

    Article  Google Scholar 

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Correspondence to Ningning Ren.

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This work was supported in part by the Key Research of Development and Promotion of Henan Province under Grant 212102210250, and in part by the Key Research of Development and Promotion of Henan Province under Grant 202102210307.

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Ren, N., Fan, L. & Zhang, Z. Sensorless PMSM Control with Sliding Mode Observer Based on Sigmoid Function. J. Electr. Eng. Technol. 16, 933–939 (2021). https://doi.org/10.1007/s42835-021-00661-4

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Keywords

  • PMSM
  • Sigmoid
  • Sliding mode observer (SMO)