Pole Segmentation Shaped by Sinusoidal, Trapezoidal, and Harmonic Injection PWM for Torque Ripple Reduction in Permanent Magnet Synchronous Machines

Khristian M. de Andrade Jr.; Bernardo P. de Alvarenga; Geyverson T. de Paula

doi:10.18618/REP.e202551

Authors

Khristian M. de Andrade Jr. Federal University of Goias https://orcid.org/0000-0002-4213-0909
Bernardo P. de Alvarenga Federal University of Goias https://orcid.org/0000-0002-3815-385X
Geyverson T. de Paula Federal University of Goias https://orcid.org/0000-0001-8221-8641

DOI:

https://doi.org/10.18618/REP.e202551

Keywords:

pole segmentation, PWM techniques, permanent magnet synchronous machine, torque ripple reduction

Abstract

The present paper proposes three methods to reduce the torque ripple in Permanent Magnet Synchronous machine by decreasing the cogging torque peak and back-EMF harmonic content. These methods consider the pole segmentation technique, but the distribution and width of the segments are determined by PWM techniques. Sinusoidal, trapezoidal and harmonic injection PWM are assigned to Methods 1, 2 and 3 in that order. This methods can decrease the cogging torque peak and also improve the harmonic content of the back-EMF, thus reducing the torque ripple. Furthermore, the methods were validated by means of a finite elements analysis. Method 3 achieved the best results for both 4‑ and 8‑pole machines, reducing the cogging torque peak by up to 79.53 % and increasing the average torque by 6.43 %. It also reduced the magnet volume in the 4‑pole machine.

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Author Biographies

Khristian M. de Andrade Jr., Federal University of Goias

received the B.Sc. and M.Sc. degrees in electrical engineering from the Federal University of Goiás, Goiânia, Brazil, where he is currently pursuing the Ph.D. degree.

Bernardo P. de Alvarenga, Federal University of Goias

received the B.E. degree from the University of Brasília, Brazil, the M.Sc. degree from the Federal University of Uberlândia, Brazil, and the Ph.D. degree from the University of São Paulo, Brazil, all in electrical engineering. He is currently a Professor with the Federal University of Goiás, Goiânia, Brazil.

Geyverson T. de Paula, Federal University of Goias

received the B.E., M.Sc., and Ph.D. degrees in electrical engineering from the University of São Paulo, São Carlos, Brazil. He is currently a Professor with the Federal University of Goiás, Goiânia, Brazil.

References

E. Sulaiman, T. Kosaka, N. Matsui, “High Power Density Design of 6-Slot–8-Pole Hybrid Excitation Flux Switching Machine for Hybrid Electric Vehicles”, IEEE Transactions on Magnetics, vol. 47, no. 10, pp. 4453–4456, 2011. DOI: https://doi.org/10.1109/TMAG.2011.2140315

J. R. Hendershot, T. J. E. Miller, Design of Brushless Permanent-Magnet Motors, Clarendon Press, 2023.

J. Xintong, X. Jingwei, L. Yong, L. Yongping, “Theoretical and Simulation Analysis of Influences of Stator Tooth Width on Cogging Torque of BLDC Motors”, IEEE Transactions on Magnetics, vol. 45, no. 10, pp. 4601–4604, 2009. DOI: https://doi.org/10.1109/TMAG.2009.2022639

S.-M. Hwang, J.-B. Eom, Y.-H. Jung, D.-W. Lee, B.-S. Kang, “Various design techniques to reduce cogging torque by controlling energy variation in permanent magnet motors”, IEEE Transactions on Magnetics, vol. 37, no. 4, pp. 2806–2809, 2001. DOI: https://doi.org/10.1109/20.951313

C. S. Koh, J.-S. Seol, “New cogging-torque reduction method for brushless permanent-magnet motors”, IEEE Transactions on Magnetics, vol. 39, no. 6, pp. 3503–3506, 2003. DOI: https://doi.org/10.1109/TMAG.2003.819473

T. Li, G. Slemon, “Reduction of cogging torque in permanent magnet motors”, IEEE Transactions on Magnetics, vol. 24, no. 6, pp. 2901–2903, 1988. DOI: https://doi.org/10.1109/20.92282

T. Ishikawa, G. Slemon, “A method of reducing ripple torque in permanent magnet motors without skewing”, IEEE Transactions on Magnetics, vol. 29, no. 2, pp. 2028–2031, 1993. DOI: https://doi.org/10.1109/20.250808

I.-H. Jo, H.-W. Lee, G. Jeong, W.-Y. Ji, C.-B. Park, “A Study on the Reduction of Cogging Torque for the Skew of a Magnetic Geared Synchronous Motor”, IEEE Transactions on Magnetics, vol. 55, no. 2, pp. 1–5, 2019. DOI: https://doi.org/10.1109/TMAG.2018.2873310

F. Scuiller, “Magnet Shape Optimization to Reduce Pulsating Torque for a Five-Phase Permanent-Magnet Low-Speed Machine”, IEEE Transactions on Magnetics, vol. 50, no. 4, pp. 1–9, 2014. DOI: https://doi.org/10.1109/TMAG.2013.2287855

H. Y. Sun, K. Wang, “Effect of Third Harmonic Flux Density on Cogging Torque in Surface-Mounted Permanent Magnet Machines”, IEEE Transactions on Industrial Electronics, vol. 66, no. 8, pp. 6150–6158, 2019. DOI: https://doi.org/10.1109/TIE.2018.2875639

M. Lukaniszyn, M. JagieLa, R. Wrobel, “Optimization of permanent magnet shape for minimum cogging torque using a genetic algorithm”, IEEE Transactions on Magnetics, vol. 40, no. 2, pp. 1228–1231, 2004. DOI: https://doi.org/10.1109/TMAG.2004.825185

P. S. Shin, S. H. Woo, C. S. Koh, “An Optimal Design of Large Scale Permanent Magnet Pole Shape Using Adaptive Response Surface Method With Latin Hypercube Sampling Strategy”, IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 1214–1217, 2009. DOI: https://doi.org/10.1109/TMAG.2009.2012565

R. Lateb, N. Takorabet, F. Meibody-Tabar, “Effect of magnet segmentation on the cogging torque in surface-mounted permanent-magnet motors”, IEEE Transactions on Magnetics, vol. 42, no. 3, pp. 442–445, 2006. DOI: https://doi.org/10.1109/TMAG.2005.862756

M. Ashabani, Y. A.-R. I. Mohamed, “Multiobjective Shape Optimization of Segmented Pole Permanent-Magnet Synchronous Machines With Improved Torque Characteristics”, IEEE Transactions on Magnetics, vol. 47, no. 4, pp. 795–804, 2011. DOI: https://doi.org/10.1109/TMAG.2010.2104327

K. Abbaszadeh, F. Rezaee Alam, S. Saied, “Cogging torque optimization in surface-mounted permanent-magnet motors by using design of experiment”, Energy Conversion and Management, vol. 52, no. 10, pp. 3075–3082, 2011. DOI: https://doi.org/10.1016/j.enconman.2011.04.009

S. Chaithongsuk, N. Takorabet, F. Meibody-Tabar, “On the Use of Pulse Width Modulation Method for the Elimination of Flux Density Harmonics in the Air-Gap of Surface PM Motors”, IEEE Transactions on Magnetics, vol. 45, no. 3, pp. 1736–1739, 2009. DOI: https://doi.org/10.1109/TMAG.2009.2012801

S. Chaithongsuk, N. Takorabet, B. Nahid-Mobarakeh, F. Meibody- Tabar, “Optimal design of PM motors for quasi-sinusoidal air-gap flux density”, in 45th International Universities Power Engineering Conference UPEC2010, pp. 1–6, 2010. DOI: https://doi.org/10.1109/ICELMACH.2010.5607858

J. A. Houldsworth, D. A. Grant, “The Use of Harmonic Distortion to Increase the Output Voltage of a Three-Phase PWM Inverter”, IEEE Transactions on Industry Applications, vol. IA-20, no. 5, pp. 1224–1228, 1984. DOI: https://doi.org/10.1109/TIA.1984.4504587

IEEE 1812-2014, “IEEE Trial-Use Guide for Testing Permanent Magnet Machines”, [Online; accessed 18-September-2019], 2014, URL: https://standards.ieee.org/standard/1812-2014.html.