Optimization of Permanent Magnet Skew in Permanent Magnet Linear Synchronous Motors Using Finite Element and Statistical Method

Gabriel González-Palomino, Javier Rivas-Conde, Edwin Laniado

.

DOI: 10.4236/eng.2011.36068                

Abstract

The permanent magnet skew is one of the techniques mostly used on the Permanent Magnet Linear Syn-chronous Motors (PMLSMs) to reduce the thrust ripple; even though there is a reduction in the amplitude of ripple and at the same time a significantly decrease of the motor’s thrust. This article proposes a combined technique between the Finite Elements Method (FEM) and statistical regression, to obtain an objective function that will allow the achievement of the optimal Permanent Magnet (PM) skew angle, so that there is a greater reduction of ripple with the minimum thrust diminishment.

Keywords

FEM-Statistical Regression Method, Optimization, PM Skew, PMLSM, Ripple, Thrust

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	M.S. Islam, S. Mir and T. Sebastian., “Issues in Reducing the Cogging Torque of Mass-Produced Permanent-Mag- net Brushless DC Motor,” IEEE Transactions on Industry Applica-tions, Vol. 40, No. 3, 2004, pp. 813-820. doi:10.1109/TIA.2004.827469
[2]	M. Aydin, “Magnet Skew in Cogging Torque Minimiza- tion of Axial Gap Permanent Magnet Motors,” 18th International Conference on Electrical Machines (ICEM 2008), 2008, pp. 1-6.
[3]	I.-S. Jung, J. Hur and D.-S. Hyun, “Performance Analysis of Skewed PM Linear Synchronous Motor According to various Design Parameters,” IEEE Transactions on Mag- netics, Vol. 37, No. 5, 2001, pp. 3653-3657.
[4]	M. Dai, A. Keyhani and T. Sebastian, “Torque Ripple Analysis of a Permanent Magnet Brushless DC Motor using Finite Element Method,” IEEE International Con-ference on Electric Machines and Drives (IEMDC 2001), Cambridge, 17-20 June 2001, pp. 241-245.
[5]	J. H. Choi, J. H. Kim, D. H. Kim and Y. S. Baek, “Design and Parametric Analysis of Axial Flux PM Motors with Minimized Cogging Torque,” IEEE Transactions on Magnetics, Vol. 45, No. 6, 2009, pp. 2855-2858.
[6]	R. Wrobel, “Design Considerations of a Direct Drive Brushless Machine with Concentrated Wind-ings,” IEEE Transaction on Energy Conversion, Vol. 23, No. 1, 2008, pp. 1-8. doi:10.1109/TEC.2007.905073
[7]	Y.-W. Zhu, D.-H. Koo and Y.-H. Cho, “Detent Force Minimization of Permanent Magnet Linear Synchronous Motor by Means of Two Different Methods,” IEEE Tran- sactions on Magnetics, Vol. 44, No. 11, 2008, pp. 4345- 4348. doi:10.1109/TMAG.2008.2001320
[8]	Y.-W. Zhu and Y.-H. Cho, “Thrust Ripples Suppression of Permanent Magnet Linear Synchronous Motor,” IEEE Transactions on Magnetics, Vol. 43, No. 6, 2007, pp. 2537-2539. doi:10.1109/TMAG.2007.893308
[9]	W. Z. Fei and J. X. Shen, “Comparative Study and Optimal Design of PM Switch-ing Flux Motors,” Proceedings of the 41st International Con-ference on Universities Power Engineering (UPEC’06), New-castle-Upon-Tyne, 6-8 September 2006, pp. 695-699.
[10]	S. Huang, M. Aydin and T.A. Lipo, “Electromagnetic Vibration and Noise Assessment for Surface Mounted,” Power Engi-neering Society Summer Meeting, IEEE, Vancouver, Vol. 3, 2001, pp. 1417-1426.
[11]	M. Lukaniszyn, M. JagieLa and R. Wrobel, “Optimiza- tion of Permanent Magnet Shape for Minimum Cogging Torque Using a Genetic Algorithm,” IEEE Transactions on Magnetics, Vol. 40, No. 2, 2004, pp. 1228-1231.
[12]	S. R. Huang, M. Aydin and T. A. Lipo, “Torque Quality Assessment and Sizing Optimization for Sur-face Moun- ted Permanent Magnet Machines,” Industry Appli-cations Conference, 2001, Thirty-Sixth IAS Annual Meeting, Con- ference Record of the 2001 IEEE, Chicago, 2001, pp. 1603-1610.
[13]	M. Aydin, S. Huang and T. A. Lipo, “Opti-mum Design and 3D Finite Element Analysis of Nonslotted and Slot- ted Internal Rotor Type Axial Flux PM Disc Ma-chines,” Power Engineering Society Summer Meeting, 2001, IEEE, Vol. 3, 2001, pp. 1409-1416.
[14]	M.S. Islam, “Design Considerations of Sinusoidally Ex- cited Permanent-Magnet Machines for Low-Torque-Ripple Applications,” IEEE Trans-actions on Industry Applications, Vol. 41, No. 4, 2005, pp. 955-962, doi:10.1109/TIA.2005.851026
[15]	Ju Lee, Hyung-Woo Lee, Yon-Do Chun, Myoungho Sunwoo and Jung-Pyo Hong, “The Performance Predic- tion of Controlled-PM LSM in various Design Schemes by FEM,” IEEE Transactions on Magnetics, Vol. 36, No. 4, 2000, pp. 1902-1905,. doi:10.1109/20.877818
[16]	G.G. Palomino and J.R. Conde, “Ripple Reduction in a PMLSM with Concentrated Winding Using 2-D Finite Element Simulation,” 4th IET Conference on Power Electronics, Machines and Drives (PEMD 2008), York, 2-4 April 2008, pp. 451-454.
[17]	G. G. Palomino and J. R. Conde, “Comparative results of thrust ripple in several topolo-gies of PMLSM,” 4th IET Conference on Power Electronics, Machines and Drives PEMD (2008), York, 2-4 April 2008, pp. 135-138.
[18]	J. S. Arora, “Introduction to Optimum Design,” 2nd Edition, Elsevier Academic Press, Amsterdam, 2004, pp. 555-558.