Transverse flux permanent magnet generator design and optimization using response surface methodology applied in direct drive variable speed wind turbine system

Javad Soleimani, Abdolhossein Ejlali, Masood Moradkhani


Recently, Transverse Flux Permanent Magnet Generators (TFPMGs) have been proposed as a possible generator in direct drive variable speed wind turbines due to their unique merit. Generally, the quality of output power in these systems is lower than multi stage fixed speed systems, because of removing the gears, so it’s important to design these kinds of generators with low ripple and lowest harmful harmonics and cogging torque that is one of the most important terms in increasing the quality of output power of generator. The objective of this paper is introducing a simple design method and optimization of high power TFPMG applied in vertical axis direct drive wind turbine system by lowest possible amplitude of cogging torque and highest possible power factor, efficiency and power density. For this reason an optimum method called combined response surface methodology (RSM) and design of experiment and in order to extract the output values of generator and sensitivity analysis for design and optimization, 3D-Finite element model, was applied. This method has high accuracy and gives us a better insight of generator performance and presents back EMF, cogging torque, flux density and FFT of this TFPMG. This study can help designers in design approach of such generators.


Direct Drive Wind Turbine, Transverse Flux Permanent Magnet Generator, Electrical Machines Design

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Global Wind Report Annual Market Update 2013, Retrieved 23 April2013.

Polinder, H.; van der Pijl, F.F.A.; de Vilder, G.-J.; Tavner, P.J., "Comparison of direct-drive and geared generator concepts for wind turbines," Energy Conversion, IEEE Transactions on , vol.21, no.3, pp.725,733, Sept. 2006

F. Valentin, T. Nica, K. Leban, E. Ritchie, “Direct Drive TFPM Wind Generator Analytical Design Optimized for inimum Active Mass Usage”, The 8th International Symposium on Advanced Topics in Electrical Engineering, May 23-25, 2013, Bucharest, Romania.

J. Soleimani, A. Ejlali, “Non-Conventional Electric Machines (Theory, Design & Analysis)-Chapter 3”, ISSN: 978-600-5714-18-0, NahrDanesh Publisher, Feb 2015, Tehran, Iran.

J. Soleimani, A. Vahedi and A. Ejlali, “Study on Inner PMSM for HEV Traction Drive Application Considering Permanent Magnet Type and Temperature”, Turkish Journal of Electrical Engineering and Computer Sciences, Volume 22, Issue 6, (2014).

J. Soleimani, A. Vahedi and S. M. Mirimani, “Inner Permanent Magnet Synchronous Machine Optimization for HEV Traction Drive Application in Order to Achieve Maximum Torque per Ampere”, Iranian Journal of Electrical and Electronic Engineering, Vol.7 No.4, Dec 2011.

I. Boldea, “Variable Speed Generators-Chapter 11”, ISBN 0- 8493-5715-2, CRS Press Taylor & Francis, USA, 2007.

F. Valentin, T. Nica, K. Leban, E. Ritchie, "A comparison between two optimized TFPM geometries for 5 MW direct-drive wind turbines," Advanced Topics in Electrical Engineering (ATEE), 2013 8th International Symposium on , vol., no., pp.1,6, 23-25 May 2013

Deok-je Bang; Polinder, H.; Shrestha, G.; Ferreira, J.A., "Comparative design of radial and transverse flux PM generators for direct-drive wind turbines," Electrical Machines, 2008. ICEM 2008. 18th International Conference on , vol., no., pp.1,6, 6-9 Sept. 2008.

D. Grassman, “Vertical axis wind turbine and generator therefore”, United State Patent, Publication number: US8487470 B2 Jul 2013.

M. R. Quddes, M. Sekino, H. Ohsaki, N. Kashima, S. Nagaya, “Electromagnetic Design Study of Transverse Flux Enhanced Type Superconducting Wind Turbine Generators”, IEEE Trans. on Applied Supercunductivity, Vol. 21, No 3, Jun 2011.

J. Soleimani, A. Ejlali, “Transverse Flux Generator Applied in Wind Turbine Systems”, Technical Report, Azad University of Ilam, Iran, Jan 2016.

J. Xie, D. Kang, B. C. Woo, J. Y. Lee, Z. H. Sha, S. D. Zhao, “Optimum Design of Transverse Flux Machine for High Contribution of Permanent Magnet to Torque Using Response Surface Methodology, Journal of Electrical Engineering & Technology Vol. 7, No. 5, pp. 745~752, 2012.

D. Hong , B. Woo , J. Chang and D. Kang, “Optimum Design of TFLM With Constraints for Weight Reduction Using Characteristic Function”, IEEE Trans. on Magnetics, Vol. 43, No. 4, April 2007.

Y. Gong , W. Zheng, D. Zhang, J. Jiang, “Analysis of a Transverse Flux Machine with E-shaped Stator Using Three Dimensional Scalar Potential Finite Element Method” IEEE 6th International Power Electronics and Motion Control Conference (IPEMC), Wuhan, China, May 2009.

D. Svechkarenko, “On Design and Analysis of a Novel Transverse Flux Generator for Direct-driven Wind Application”, PhD Thesis in Electrical Eng. KTH Univ. 2010.

G. Yang; D. Cheng; H. Zhang; B. Kou, "Bidirectional Cross-Linking Transverse Flux Permanent Magnet Synchronous Motor," Magnetics, IEEE Transactions on , vol.49, no.3, pp.1242,1248, March 2013.

Dobzhanskyi, O.; Mendrela, E., Trzynadlowski, A.M., "Analysis of Leakage Flux Losses in the Transverse Flux Permanent Magnet Generator," Green Technologies Conference (IEEE-Green), 2011 IEEE , vol., no., pp.1,6, 14-15 April 2011.

D.C. Montgomery, Design and Analysis of Experiments: 7th ed., New York: Wiley, 2008.

A.I. Khuri and J.A. Cornell, Response Surfaces: Designs and Analyses: New York: Marcel Dekker, 1 996.

C. Yuan, B.G. Liu and C.G. Chen, “Optimization of preparation process of hydroxypropyl-β-cyclodextrin by response surface methodology,” in Proceedings of International Conference on Challenges in Environmental Science and Computer Engineering, Wuhan, China, pp.26-28, Mar. 201 0.

S.I. Kim, J.P. Hong, Y.K. Kim, H. Nam and H.I. Cho, “Optimal design of slotless-type PMLSM considering multiple responses by response surface methodology,” IEEE Trans. Magn., vol.42, no.4, pp.1 21 9-1 222, Apr. 2006.

D.K. Hong, B.C. Woo and D.H. Kang, “Application of fractional factorial design for improving performance of 60 W transverse flux linear motor,” J. Appl. Phys., vol.1 03, no.7, pp. 07F1 20:1 -07F1 20:3, Mar. 2008.



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ISSN: 2303-4521

Digital Object Identifier DOI: 10.21533/pen

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License