Skip to main content
Log in

Optimization of thick wind turbine airfoils using a genetic algorithm

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

In this study, we optimized thick airfoils for wind turbines using a genetic algorithm (GA) coupled with computational fluid dynamics (CFD) and geometric parameterization based on the Akima curve fitting method. Complex and separated flow fields around the airfoils of each design generation were obtained by performing Reynolds-averaged Navier-Stokes steady flow simulation based on the in-house code of an implicit high-resolution upwind relaxation scheme for finite volume formulation. Airfoils with 40 % and 35 % thickness values were selected as baseline airfoils. An airfoil becomes thicker toward the blade root area, thereby increasing blade stiffness and lowering its aerodynamic efficiency. We optimized the airfoils to simultaneously maximize aerodynamic efficiency and blade thickness. The design variables and objective function correspond to the airfoil coordinates and the lift-to-drag ratio at a high angle of attack with airfoil thickness constraints. We improved the lift-to-drag ratio by 30 %~40 % compared with the baseline airfoils by performing optimization using GA and CFD. The improved airfoils are expected to achieve a 5 %~11 % higher torque coefficient while minimizing the thrust coefficient near the blade root area.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. B. Eke and J. I. Onyewudiala, Optimization of wind turbine blades using genetic algorithm, Global Journal of Research in Engineering, 10 (2010) 22–26.

    Google Scholar 

  2. A. Afzal and K. Y. Kim, Optimization of a micromixer using several optimization algorithms, Proc. of Korean Society for Computational Fluids Engineering (2015) 157–158.

    Google Scholar 

  3. C. A. C. Coello and G. T. Pulido, A micro-genetic algorithms for multi-objective optimization, Lecture Notes in Computer Science, 93 (2010) 126–43.

    Google Scholar 

  4. S. H. Kim and C. G. Kim, Optimal design of composite stiffened panel with cohesive elements using micro-genetic algorithm, Journal of Composite Materials, 42 (2008) 2259–2273.

    Article  Google Scholar 

  5. K. Deb, Multi-objective optimization using evolutionary algorithms, 1st Ed., Wiley, Chichester, U.K. (2001).

    MATH  Google Scholar 

  6. J. H. Kim, J. H. Choi, A. Husain and K. Y. Kim, Multiobjective optimization of a centrifugal compressor impeller through evolutionary algorithms, Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 224 (5) (2010) 711–721.

    Google Scholar 

  7. J. H. Kim, B. Ovgor, K. H. Cha, J. H. Kim, S. Lee and K. Y. Kim, Optimization of the aerodynamic and aeroacoustic performance of an axial-flow fan, AIAA Journal, 52 (9) (2014) 2032–2044.

    Article  Google Scholar 

  8. D. Sasaki, S. Obayashi and K. Nakahashi, Navier-Stokes optimization of supersonic wings with four objectives using evolutionary algorithm, Journal of Aircraft, 39 (2002) 621–629.

    Article  Google Scholar 

  9. A. Shahrokhi and A. Jahangirian, A surrogate assisted evolutionary optimization method with application to the transonic airfoil design, Optim. Eng., 42 (2010) 497–515.

    Article  Google Scholar 

  10. Y. Pehlivanoglu and B. Yagiz, Aerodynamic design prediction using surrogate-based modeling in genetic algorithm architecture, Aerosp. Sci. Technol., 23 (2011) 479–491.

    Article  Google Scholar 

  11. M. H. Mohamed, G. Janiga and D. Thevenin, Multiobjective optimization of the airfoil shape of Wells turbine used for wave energy conversion, Journal of Energy, 36 (2011) 438–446.

    Article  Google Scholar 

  12. A. F. P. Ribeiro, A. M. Awruch and H. M. Gomes, An airfoil optimization technique for wind turbine, Journal of Applied Mathematical Modeling, 36 (2012) 4898–4907.

    Article  Google Scholar 

  13. T. Winnemoller and C. P. van Dam, Design and numerical optimization of thick airfoils including blunt trailing edge, Journal of Aircraft, 44 (2007) 232–240.

    Article  Google Scholar 

  14. F. Grasso, Development of thick airfoils for wind turbines, Journal of Aircraft, 50 (2013) 975–981.

    Article  Google Scholar 

  15. M. Drela and M. B. Giles, Viscous-inviscid analysis of transonic and low reynolds number airfoils, AIAA Journal, 25 (1987) 1347–1355.

    Article  MATH  Google Scholar 

  16. J. H. Holland, Adaptation in natural and artificial systems, Ann Arbor, Ml: University of Michigan Press (1975).

    Google Scholar 

  17. D. E. Goldberg, Genetic algorithms in search, optimization, and machine learning. Reading, MA: Addison-Wesley (1989).

    MATH  Google Scholar 

  18. Modeling with splines and NURBS, GCC: Art Department, http://art.gcc.mass.edu/docs/art268/splines_nurbs.pdf.

  19. H. Akima, A new method of interpolation and smooth curve fitting based on local procedures, J. Assoc. Comput., 17 (1970) 589–602.

    Article  MATH  Google Scholar 

  20. F. R. Menter, Two-equation eddy-viscosity turbulence models for engineering applications, AIAA Journal, 32 (1994) 1598–1605.

    Article  Google Scholar 

  21. M. Furukawa, T. Nakano and M. Inoe, Unsteady Navier-Stokes simulation of transonic cascade flow using an unfactored implicit upwind relaxation scheme with inner iterations, ASME Journal of Turbomachinery, 114 (1992) 599–606.

    Article  Google Scholar 

  22. M. Furukawa, M. Yamasaki and M. Inoe, A zonal approach for Navier-Stokes computations of compressible cascade flow fields using a TVD finite volume method, ASME Journal of Turbomachinery, 113 (1991) 573–582.

    Article  Google Scholar 

  23. S. R. Chakravarthy, Relaxation method for unfactored implicit upwind schemes, 22nd Aerospace Sciences Meeting Paper (1982) No. 84–0165.

    Google Scholar 

  24. W. K. Anderson, J. L. Thomas and B. van Leer, Comparison of finite volume flux vector splitting for the Euler equations, AIAA Journal, 24 (1986) 1453–1460.

    Article  Google Scholar 

  25. G. D. van Alvada, B. van Leer and W. W. Roberts, A comparative study of computational methods in cosmic gas dynamics, Journal of Aston. Astrophysics, 108 (1982) 76–84.

    MATH  Google Scholar 

  26. D. C. Wilcox, Reassessment of the scale-determining equation for advanced turbulence models, AIAA Journal, 26 (1988) 1299–1310.

    Article  MathSciNet  MATH  Google Scholar 

  27. ANSYS Inc., ANSYS CFX-solver theory guide (2011).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Soo-Hyun Kim.

Additional information

Recommended by Associate Editor Jungil Lee

Jae-Ho Jeong obtained his B.S., M.S., and Ph.D. from the Department of Mechanical Engineering, Kyushu University until 2010. He worked at Samsung Heavy Industries until 2013. He is a Senior Researcher in the sodium-cooled fast reactor design division of the Korea Atomic Energy Research Institute. His current research interests include computational fluid dynamics and plant system transient analysis in the fields of renewable, fossil, and nuclear energies.

Soo-Hyun Kim is currently a Senior Researcher at the Korea Institute of Energy Research and has been involved in various wind turbines and composite blade design and development projects. He obtained his B.S., M.S., and Ph.D. from the Korea Advanced Institute of Science and Technology in 1997–2008. After his studies, he worked at the wind turbine division of Samsung Heavy Industries until 2011.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jeong, JH., Kim, SH. Optimization of thick wind turbine airfoils using a genetic algorithm. J Mech Sci Technol 32, 3191–3199 (2018). https://doi.org/10.1007/s12206-018-0622-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-018-0622-x

Keywords

Navigation