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Analysis of torque ripple and torsional vibration considering Hall mounting errors in permanent magnet synchronous motors for light EVs

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Abstract

The digital Hall-effect sensors are widely used for the rotor position estimation in permanent magnet synchronous motors (PMSMs) for light electric vehicles. Many scholars have discovered that the inevitable misalignment in the sensor mounting due to technical limitations has a negative impact on motor torque and vibration, but the characteristics of the torque ripple and torsional vibration remain unsolved. The analysis of the torque ripple and torsional vibration considering Hall mounting errors is carried out in this work, which makes the vibration-based diagnosis of Hall mounting errors possible and lays a foundation for improving the torque and vibration quality of electric motors. The harmonic characteristic analysis of PMSMs is firstly carried out, which lays a foundation for analyzing the phase current caused by the rotor position error. Subsequently, the order characteristics of the phase current and motor torque considering the rotor position error are derived. Then, the rotor position error caused by Hall mounting errors is analyzed, and the consequential order characteristics of the phase current and torque ripple are derived. Finally, simulated and experimental results are presented to validate the theoretical analysis. It is found that the rotor position error will induce voltage harmonics in PMSMs, resulting in the corresponding current harmonics and torque ripples. The rotor position error caused by Hall mounting errors contains dc component and even order harmonics, which will mainly produce new even order torque ripple and torsional vibration.

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References

  1. Harries M, Hensgens M, de Doncker RW (2018) Noise reduction via harmonic current injection for concentrated-winding permanent magnet synchronous machines. In: 2018 21st international conference on electrical machines and systems (ICEMS). IEEE, pp 1157–1162

  2. Thike R, Pillay P (2020) Mathematical model of an interior PMSM with aligned magnet and reluctance torques. IEEE Trans Transp Electr 6:647–658. https://doi.org/10.1109/TTE.2020.2991369

    Article  Google Scholar 

  3. Zeng Y, Cheng M, Liu G, Zhao W (2020) Effects of magnet shape on torque capability of surface-mounted permanent magnet machine for servo applications. IEEE Trans Ind Electr 67:2977–2990. https://doi.org/10.1109/TIE.2019.2910025

    Article  Google Scholar 

  4. Ciceo S, Chauvicourt F, Gyselinck J, Martis C (2021) PMSM current shaping for minimum joule losses while reducing torque ripple and vibrations. IEEE Access 9:114705–114714. https://doi.org/10.1109/ACCESS.2021.3104859

    Article  Google Scholar 

  5. Feng G, Lai C, Tian J, Kar NC (2019) Multiple reference frame based torque ripple minimization for PMSM drive under both steady-state and transient conditions. IEEE Trans Power Electr 34:6685–6696. https://doi.org/10.1109/TPEL.2018.2876607

    Article  Google Scholar 

  6. Gebregergis A, Chowdhury MH, Islam MS, Sebastian T (2015) Modeling of permanent-magnet synchronous machine including torque ripple effects. IEEE Trans Ind Appl 51:232–239. https://doi.org/10.1109/TIA.2014.2334733

    Article  Google Scholar 

  7. Dhulipati H, Mukundan S, Lai C et al (2019) Multiple reference frame-based extended concentrated wound PMSM model considering PM flux linkage and inductance harmonics. IEEE Trans Energy Convers 34:731–740. https://doi.org/10.1109/TEC.2018.2880869

    Article  Google Scholar 

  8. Tang Z, Akin B (2017) Suppression of dead-time distortion through revised repetitive controller in PMSM drives. IEEE Trans Energy Convers 32:918–930. https://doi.org/10.1109/TEC.2017.2679701

    Article  Google Scholar 

  9. Lara J, Xu J, Chandra A (2016) Effects of rotor position error in the performance of field oriented controlled PMSM drives for electric vehicle traction applications. IEEE Trans Ind Electr. https://doi.org/10.1109/TIE.2016.2549983

    Article  Google Scholar 

  10. Hwang S-H, Kim H-J, Kim J-M et al (2011) Compensation of amplitude imbalance and imperfect quadrature in resolver signals for PMSM drives. IEEE Trans Ind Appl 47:134–143. https://doi.org/10.1109/TIA.2010.2091477

    Article  Google Scholar 

  11. Mao Y, Zuo S, Cao J (2018) Effects of rotor position error on longitudinal vibration of electric wheel system in in-wheel PMSM driven vehicle. IEEE/ASME Trans Mechatron 23:1314–1325. https://doi.org/10.1109/TMECH.2018.2818260

    Article  Google Scholar 

  12. Chen X, Hu J, Chen K, Peng Z (2016) Modeling of electromagnetic torque considering saturation and magnetic field harmonics in permanent magnet synchronous motor for HEV. Simul Model Pract Theory 66:212–225. https://doi.org/10.1016/j.simpat.2016.02.012

    Article  Google Scholar 

  13. Abdelrahem M, Hackl CM, Kennel R (2018) Implementation and experimental investigation of a sensorless field-oriented control scheme for permanent-magnet synchronous generators. Electr Eng 100:849–856. https://doi.org/10.1007/s00202-017-0554-y

    Article  Google Scholar 

  14. Chandra A, Datta S, Chowdhuri S (2022) Sensorless vector control of PM synchronous motor by hybrid estimation technique considering effect of non-ideal physical attributes. Electr Eng 104:3061–3072. https://doi.org/10.1007/s00202-022-01530-7

    Article  Google Scholar 

  15. Finch JW, Giaouris D (2008) Controlled AC electrical drives. IEEE Trans Ind Electr 55:481–491. https://doi.org/10.1109/TIE.2007.911209

    Article  Google Scholar 

  16. Kim S-Y, Choi C, Lee K, Lee W (2011) An improved rotor position estimation with vector-tracking observer in PMSM drives with low-resolution hall-effect sensors. IEEE Trans Ind Electr 58:4078–4086. https://doi.org/10.1109/TIE.2010.2098367

    Article  Google Scholar 

  17. Kerdsup B, Fuengwarodsakul NH (2017) Performance and cost comparison of reluctance motors used for electric bicycles. Electr Eng 99:475–486. https://doi.org/10.1007/s00202-016-0373-6

    Article  Google Scholar 

  18. Harke MC, de Donato G, Giulii Capponi F et al (2008) Implementation issues and performance evaluation of sinusoidal, surface-mounted PM machine drives with hall-effect position sensors and a vector-tracking observer. IEEE Trans Ind Appl 44:161–173. https://doi.org/10.1109/TIA.2007.912729

    Article  Google Scholar 

  19. Beccue PB, Pekarek SD, Deken BJ, Koenig AC (2007) Compensation for asymmetries and misalignment in a hall-effect position observer used in PMSM torque-ripple control. IEEE Trans Ind Appl 43:560–570. https://doi.org/10.1109/TIA.2006.889883

    Article  Google Scholar 

  20. Morimoto S, Sanada M, Takeda Y (2003) High-performance current-sensorless drive for PMSM and synRM with only low-resolution position sensor. IEEE Trans Ind Appl 39:792–801. https://doi.org/10.1109/TIA.2003.811782

    Article  Google Scholar 

  21. Brown RH, Schneider SC, Mulligan MG (1992) Analysis of algorithms for velocity estimation from discrete position versus time data. IEEE Trans Ind Electr 39:11–19. https://doi.org/10.1109/41.121906

    Article  Google Scholar 

  22. Giulii Capponi F, de Donato G, del Ferraro L et al (2006) AC brushless drive with low-resolution Hall-effect sensors for surface-mounted PM machines. IEEE Trans Ind Appl 42:526–535. https://doi.org/10.1109/TIA.2005.863904

    Article  Google Scholar 

  23. Gu J, Ouyang M, Li J et al (2013) Driving and braking control of PM synchronous motor based on low-resolution hall sensor for battery electric vehicle. Chin J Mech Eng 26:1–10. https://doi.org/10.3901/CJME.2013.01.001

    Article  Google Scholar 

  24. Yoo A, Sul S-K, Lee D-C, Jun C-S (2009) Novel speed and rotor position estimation strategy using a dual observer for low-resolution position sensors. IEEE Trans Power Electr 24:2897–2906. https://doi.org/10.1109/TPEL.2009.2022969

    Article  Google Scholar 

  25. Bertoluzzo M, Buja G, Keshri RK, Menis R (2015) Sinusoidal versus square-wave current supply of PM brushless DC drives: a convenience analysis. IEEE Trans Ind Electr 62:7339–7349. https://doi.org/10.1109/TIE.2015.2455518

    Article  Google Scholar 

  26. Liu G, Chen B, Song X (2019) High-precision speed and position estimation based on hall vector frequency tracking for PMSM with bipolar hall-effect sensors. IEEE Sens J 19:2347–2355. https://doi.org/10.1109/JSEN.2018.2885020

    Article  Google Scholar 

  27. Wu Z, Zuo S, Huang Z et al (2022) Effect of hall errors on electromagnetic vibration and noise of integer-slot inset permanent magnet synchronous motors. IEEE Trans Transp Electr. https://doi.org/10.1109/TTE.2022.3183132

    Article  Google Scholar 

  28. Park JS, Lee K-D (2017) Online advanced angle adjustment method for sinusoidal BLDC motors with misaligned hall sensors. IEEE Trans Power Electr 32:8247–8253. https://doi.org/10.1109/TPEL.2017.2694042

    Article  Google Scholar 

  29. Muley N, Saxena A, Chaudhary P (2021) Comparative evaluation of methods for continuous rotor position estimation using low resolution hall sensors. In: 2021 National Power Electronics Conference (NPEC). IEEE, pp 1–6

  30. Liu G, Chen B, Wang K, Song X (2019) Selective current harmonic suppression for high-speed PMSM based on high-precision harmonic detection method. IEEE Trans Ind Inf 15:3457–3468. https://doi.org/10.1109/TII.2018.2873652

    Article  Google Scholar 

  31. Yi P, Wang X, Sun Z (2020) Interior permanent magnet synchronous motor minimum current harmonics torque ripple suppression strategy based on magnetic co-energy model. IET Electr Power Appl 14:234–244. https://doi.org/10.1049/iet-epa.2019.0276

    Article  Google Scholar 

  32. Yan L, Liao Y, Lin H, Sun J (2019) Torque ripple suppression of permanent magnet synchronous machines by minimal harmonic current injection. IET Power Electr 12:1368–1375. https://doi.org/10.1049/iet-pel.2018.5647

    Article  Google Scholar 

  33. Yamazaki K, Utsunomiya K, Ohiwa H (2022) Mechanism of torque ripple generation by time and space harmonic magnetic fields in permanent magnet synchronous motors. IEEE Trans Ind Electron 69:9884–9894. https://doi.org/10.1109/TIE.2021.3121713

    Article  Google Scholar 

  34. Huang Z, Zuo S (2022) Separation of average torque and torque ripple in PMSMs considering saturation, cross-coupling and flux harmonics using frozen permeability method

  35. Zarate S, Almandoz G, Ugalde G, et al (2017) Extended DQ model of a Permanent Magnet Synchronous Machine by including magnetic saturation and torque ripple effects. In: 2017 IEEE international workshop of electronics, control, measurement, signals and their application to mechatronics (ECMSM). IEEE, pp 1–6

  36. Wallmark O (2001) Control of a permanent magnet synchronous motor with non-sinusoidal flux density distribution

  37. Samoylenko N, Han Q, Jatskevich J (2008) Dynamic performance of brushless DC motors with unbalanced hall sensors. IEEE Trans Energy Convers 23:752–763. https://doi.org/10.1109/TEC.2008.921555

    Article  Google Scholar 

  38. Ni R, Xu D, Wang G et al (2015) Maximum efficiency per ampere control of permanent-magnet synchronous machines. IEEE Trans Ind Electron 62:2135–2143. https://doi.org/10.1109/TIE.2014.2354238

    Article  Google Scholar 

  39. Hu D, Xu L (2014) Characterizing the torque lookup table of an IPM machine for automotive application. In: 2014 IEEE conference and expo transportation electrification Asia-Pacific (ITEC Asia-Pacific). IEEE, pp 1–6

  40. Scheer R, Bergheim Y, Heintges D et al (2021) An FPGA-based real-time spatial harmonics model of a PMSM considering iron losses and the thermal impact. IEEE Trans Transp Electr. https://doi.org/10.1109/TTE.2021.3119460

    Article  Google Scholar 

  41. Zhu ZQ, Leong JH (2012) Analysis and mitigation of torsional vibration of PM brushless AC/DC drives with direct torque controller. IEEE Trans Ind Appl 48:1296–1306. https://doi.org/10.1109/TIA.2012.2199452

    Article  Google Scholar 

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Acknowledgements

This work was supported by a Grant (Project 51875410) from the National Natural Science Foundation of China.

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Zhiyong Huang wrote the main manuscript text and Shuguang Zuo prepared the analysis methodology. The authors conducted the experiment.

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Correspondence to Shuguang Zuo.

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Zuo, S., Huang, Z. Analysis of torque ripple and torsional vibration considering Hall mounting errors in permanent magnet synchronous motors for light EVs. Electr Eng 105, 1111–1123 (2023). https://doi.org/10.1007/s00202-022-01719-w

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