Abstract
Wind turbines are widely used these days as one of renewable energy sources. In this paper, a dynamic model of a vertical axis wind turbine is developed by considering coupling effects among shaft bending, shaft torsion, shaft tension, rotor tension and rotor bending. The modal characteristics of the vertical axis wind turbine were obtained by using the dynamic model. The accuracy of the proposed model was first validated by comparing its numerical results to those obtained with a commercial program. Then, the effects of key design parameters such as shaft length, shaft diameter and rotor cross section area on the modal characteristics of the wind turbine were investigated. The natural frequency loci veering phenomena occurred when those parameters varied. The loci veering phenomena were associated with the mode shape switch between shaft bending and rotor bending, which should be carefully examined to improve the vibration quality of the wind turbine. The main contribution of this study is to propose a simple vibration model by which the effects of various design parameters on the modal characteristics of the vertical axis wind turbine can be investigated. Some design guidelines related to the vibration performance are also suggested.
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References
Global Wind Energy Council (GWEC), Global Wind Report, https://gwec.net (2017).
M. M. Aslam Butta, N. Hayat, A. U. Farooq, Z. An, S. R. Jamil and Z. Hussain, Vertical axis wind turbine - A review of various configurations and design techniques, Renewable and Sustainable Energy Reviews, 16 (2012) 1926–1939.
J. O. Dabiri, A new approach to wind energy, http://qualenergia.it/sites/default/files/articolo-doc/FLOWE_PPT_Dec2010.pdf (2010).
Y. T. Lee and H. C. Lim, Numerical study of the aerodynamic performance of a 500W Darrieus-type vertical-axis wind turbine, Renewable Energy, 83 (2015) 407–415.
R. Dominy, P. Lunt, A. Bickerdyke and J. Dominy, Self-starting capability of a Darrieus turbine, Proc, Inst. Mech. Eng. Part A J. Power and Energy, 221 (2007) 111–120.
I. Hashem and M. H. Mohamed, Aerodynamic performance enhancements of H-rotor Darrieus wind turbine, Energy, 142 (2018) 531–545.
R. Howell, N. Qin, J. Edwards and N. Durrani, Wind tunnel and numerical study of a small vertical axis wind turbine, Renewable Energy, 35 (2010) 412–422.
X. Jin, G. Zhao, K. Gao and W. Ju, Darrieus vertical axis wind turbine: Basic research methods, Renewable and Sustainable Energy Reviews, 42 (2015) 212–225.
H. H. Choo, J. P. Sim, M. W. Oh and D. H. Kim, Operational vertical experiment and analysis of a small vertical-axis wind turbine considering the effect of a tower stiffness, The KSFM Journal of Fluid Machinery, 16 (2013) 05–09.
L. Li, Vibration Analysis of Vertical Axis Wind turbine, Massey University, New Zealand (2012).
S. Brusca, R. Lanzafame and M. Messina, Design of a vertical-axis wind turbine: How the aspect ratio affects the turbine’s performance, International Journal of Energy Environmental Engineering, 5 (4) (2013) 333–340.
L. Meirovitch, Analytical Methods in Vibrations, Macmillan Publishing Company, New York, USA (1967).
H. H. Yoo and S. H. Shin, Vibration analysis of rotating cantilever beam, Journal of Sound and Vibration, 212 (1998) 807–828.
H. H. Yoo, R. R. Ryan and R. A. Scott, Dynamics of flexible beam undergoing overall motions, Journal of Sound and Vibration, 2 (181) (1995) 261–278.
T. Kane and D. Levinson, Dynamics: Theory and Application, McGraw-Hill Co., New York, USA (1985).
ANSYS, User’s Manual Structural Analysis Guide, ANSYS INC. (1998).
Acknowledgments
This research was supported by the Basic Science Research Program through a grant from the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT (NRF-2018R1A2A2A05022590).
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Hyung Hee Kim received his B.S. degree in the Department of Mechanical Engineering in Youngnam University in 2012. He is working as a M.S. candidate in the Department of Mechanical Convergence Engineering in Hanyang University, Seoul, Korea. His research interests include structural vibration and dynamics.
Yutaek Oh received his B.S. degree in the Department of Mechanical Engineering in Hanyang University, Seoul, Korea in 2013. He is working as a Ph.D. candidate in the Department of Mechanical Engineering in Hanyang University, Seoul, Korea. His research interests include structural vibration and multibody dynamics
Hong Hee Yoo received his B.S. and M.S. degrees in the Department of Mechanical Design in Seoul National University in 1980 and 1982, respectively. He received his Ph.D. degree in the Department of Mechanical Engineering and Applied Mechanics in the University of Michigan at Ann Arbor in 1989. He is a Professor in the Department of Mechanical Engineering at Hanyang University, Seoul, Korea. His research interests include multi-body dynamics, structural vibration and statistical uncertainty analysis in mechanics.
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Kim, H.H., Oh, Y. & Yoo, H.H. Simple vibration model for the design of a vertical axis wind turbine. J Mech Sci Technol 34, 511–520 (2020). https://doi.org/10.1007/s12206-020-0101-z
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DOI: https://doi.org/10.1007/s12206-020-0101-z