Reynolds Number Effect on the Optimization of a Wind Turbine Blade for Maximum Aerodynamic Efficiency
Publication: Journal of Energy Engineering
Volume 142, Issue 1
Abstract
Because of the increase in wind rotor size, the Reynolds number of an airfoil profile can reach a very high value. The effect of the Reynolds number on the aerodynamic performance of airfoils is investigated, and its influence on the optimal design of a wind rotor aiming to maximize the power coefficient is discussed. Six airfoils are involved—four DU and two NACA6—as well as five Reynolds numbers varying from to , which cover most commercial wind turbines. At a higher Reynolds number, all of the airfoils exhibit better performance, such as a higher lift coefficient, a lower drag coefficient, and a larger lift-to-drag ratio at a given angle of attack. The largest lift-to-drag ratio and the corresponding lift coefficient and angle of attack also change with the Reynolds number, which in turn affects both the performance and the optimal shape of a blade. The results show that a practical blade operating at a higher Reynolds number requires a duller shape with a greater twist angle, and has a better power coefficient than those operating at lower Reynolds numbers.
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Acknowledgments
The authors acknowledge the support of the National Natural Science Foundation of China (11402088) and the the Fundamental Research Funds for the Central Universities.
References
Benini, E., and Toffolo, A. (2002). “Optimal design of horizontal-axis wind turbines using blade-element theory and evolutionary computation.” J. Solar Eng., 124(4), 357–363.
Bizzarrini, N., Grasso, F., and Coiro, D. P. (2011). “Genetic algorithms in wind turbine airfoil design.” EWEA, EWEC2011, Brussels, Belgium, 14–17.
Buhl, M. L. (2005). “A new empirical relationship between thrust coefficient and induction factor for the turbulent windmill state.”, National Renewable Energy Laboratory, Golden, CO.
Burton, T., Jenkins, N., Sharpe, D., and Bossanyi, E. (2011). Wind energy handbook, Wiley, West Sussex, U.K.
Ceyhan, O. (2012). “Towards 20MW wind turbine: High Reynolds number effects on rotor design.” 50th AIAA ASM Conf., AIAA, Washington, DC.
Deb, K., Pratap, A., Agarwal, S., and Meyarivan, T. A. M. T. (2002). “A fast and elitist multi objective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput., 6(2), 182–197.
Drela, M. (1989). “XFOIL: An analysis and design system for low Reynolds number airfoils.” Low Reynolds number aerodynamics, Springer, Berlin, 1–12.
Fuglsang, P., and Bak, C. (2004). “Development of the RisΦ wind turbine airfoils.” Wind Energy, 7(2), 145–162.
Fuglsang, P., and Madsen, H. A. (1999). “Optimization method for wind turbine rotors.” J. Wind Eng. Ind. Aerodyn., 80(1), 191–206.
Grasso, F. (2013). “Development of thick airfoils for wind turbines.” J. Aircr., 50(3), 975–981.
Haines, A. B. (1994). “Scale effects on aircraft and weapon aerodynamics.”, A. D. Young, ed., Advisory Group for Aerospace Research and Development, Neuilly-Sur-Seine, France.
Johansen, J., et al. (2009). “Design of a wind turbine rotor for maximum aerodynamic efficiency.” Wind Energy, 12(3), 261–273.
Jonkman, J., Butterfield, S., Musial, W., and Scott, G. (2009). “Definition of a 5-MW reference wind turbine for offshore system development.”, National Renewable Energy Laboratory, Golden, CO.
Lanzafame, R., and Messina, M. (2007). “Fluid dynamics wind turbine design: Critical analysis, optimization and application of BEM theory.” Renewable Energy, 32(14), 2291–2305.
Marsh, G. (2012). “Offshore reliability.” Renewable Energy Focus, 13(3), 62–65.
Rechzeh, D., and Hansen, H. (2006). “High Reynolds-number wind tunnel testing for the design of airbus high-lift wings.” New results in numerical and experimental fluid mechanics, Vol. 92, Springer, Berlin, 1–8.
Schubel, P. J., and Crossley, R. J. (2012). “Wind turbine blade design.” Energies, 5(9), 3425–3449.
Snel, H., Houwink, R., and Bosschers, J. (1994). Sectional prediction of lift coefficients on rotating wind turbine blades in stall, Netherlands Energy Research Foundation, Petten, Netherlands.
Tangler, J. L., and Somers, D. M. (1995). “NREL airfoil families for HAWTs.” National Renewable Energy Laboratory, Golden, CO.
Timmer, W. A. (2009). “An overview of NACA 6-digit airfoil series characteristics with reference to airfoils for large wind turbine blades.”, AIAA, Washington, DC.
Timmer, W. A., and Van Rooij, R. P. J. O. M. (2003). “Summary of the Delft University wind turbine dedicated airfoils.” J. Solar Energy Eng., 125(4), 488–496.
van Rooij, R. (1996). “Modification of the boundary layer calculation in RFOIL for improved airfoil stall prediction.”, TU Delft, Delft, Netherlands.
Wang, X. D., Shen, W. Z., Zhu, W. J., Sørensen, J. N., and Jin, C. (2009). “Shape optimization of wind turbine blades.” Wind Energy, 12(8), 781–803.
Wilson, R. E., Lissaman, P. B., and Walker, S. N. (1976). Aerodynamic performance of wind turbines, Oregon State Univ., Corvallis, OR.
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© 2014 American Society of Civil Engineers.
History
Received: May 3, 2014
Accepted: Oct 14, 2014
Published online: Dec 4, 2014
Discussion open until: May 4, 2015
Published in print: Mar 1, 2016
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