Technical Papers
Dec 28, 2020

Vertical-Axis Wind Turbine Blade-Shape Optimization Using a Genetic Algorithm and Direct-Forcing Immersed Boundary Method

Publication: Journal of Energy Engineering
Volume 147, Issue 2

Abstract

The aim of this study was to prove that an optimization method combining genetic algorithms with a direct-forcing immersed boundary method as a distinguished numerical method could improve the performance of vertical-axis wind turbine blades. The proposed direct-force immersed boundary (DFIB) flow solver was tested using the benchmark laminar flow problems (lid-driven flow, flow over a stationary cylinder, and vortex-induced vibration of the circular cylinder). Two cases were analyzed, one of a stationary airfoil and another of a rotating airfoil in a vertical-axis wind turbine. The analysis was carried out using two-dimensional flow simulations in a laminar flow regime. A NACA 0012 airfoil was used as the original airfoil cross section of the vertical-axis wind turbine. The proposed method successfully simulated the moving blade in the flow field, and the results revealed that the optimized wind turbine blade designed using the proposed method had an efficiency improvement of 5.61% compared to the original airfoil.

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Data Availability Statement

Data in Figs. 6, 10, and 1122 that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors are grateful for the financial support provided for this work by the Ministry of Science and Technology, Taiwan under Grant No. MOST-107-2221-E-011-075-MY3.

References

Baluja, S., and R. Caruana. 1995. “Removing the genetics from the standard genetic algorithm.” In Proc., 12th Int. Conf. on Machine Learning, 38–46. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/B978-1-55860-377-6.50014-1.
Carrigan, T. J., B. H. Dennis, Z. X. Han, and B. P. Wang. 2012. Aerodynamic shape optimization of a vertical axis wind turbine using differential evolution. London: Hindawi. https://doi.org/10.5402/2012/528418.
Chan, C. M., H. L. Bai, and D. Q. He. 2018. “Blade shape optimization of the Savonius wind turbine using a genetic algorithm.” Appl. Energy 213 (Mar): 148–157. https://doi.org/10.1016/j.apenergy.2018.01.029.
Chern, M. J., Y. H. Kuan, G. Nugroho, G. T. Lu, and T. L. Horng. 2014. “Direct-forcing immersed boundary modeling of vortex-induced vibration of a circular cylinder.” J. Wind Eng. Ind. Aerodyn. 134 (Nov): 109–121. https://doi.org/10.1016/j.jweia.2014.08.015.
Della Vecchia, P., E. Daniele, and E. D’Amato. 2014. “An airfoil shape optimization technique coupling parsec parameterization and evolutionary algorithm.” Aerosp. Sci. Technol. 32 (1): 103–110. https://doi.org/10.1016/j.ast.2013.11.006.
Delouei, A., M. Nazari, M. H. Kayhani, and S. Succi. 2014. “Non-Newtonian unconfined flow and heat transfer over a heated cylinder using the direct-forcing immersed boundary–thermal lattice Boltzmann method.” Phys. Rev. E 89 (5): 053312. https://doi.org/10.1103/PhysRevE.89.053312.
Drela, M. 2001. “XFOIL subsonic airfoil development system.” Accessed January 11, 2001. https://web.mit.edu/drela/Public/web/xfoil.
Fadlun, E., R. Verzicco, P. Orlandi, and J. Mohd-Yusof. 2000. “Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations.” J. Comput. Phys. 161 (1): 35–60. https://doi.org/10.1006/jcph.2000.6484.
Goldberg, D. E., and J. H. Holland. 1988. “Genetic algorithms and machine learning.” Mach. Learn. 3 (2): 95–99. https://doi.org/10.1023/A:1022602019183.
Günel, O., E. Koç, and T. Yavuz. 2016. “CFD vs. XFOIL of airfoil analysis at low Reynolds numbers.” In Proc., 2016 IEEE Int. Conf. on Renewable Energy Research and Applications (ICRERA), 628–632. New York: IEEE.
Herrera, F., M. Lozano, and A. M. Sánchez. 2003. “A taxonomy for the crossover operator for real-coded genetic algorithms: An experimental study.” Int. J. Intell. Syst. 18 (3): 309–338. https://doi.org/10.1002/int.10091.
Holland, J. 1975. Adaptation in natural and artificial systems: An introductory analysis with application to biology. Ann Arbor, MI: University of Michigan Press.
Howell, R., N. Qin, J. Edwards, and N. Durrani. 2010. “Wind tunnel and numerical study of a small vertical axis wind turbine.” Renew. Energy 35 (2): 412–422. https://doi.org/10.1016/j.renene.2009.07.025.
Islam, M., D. S. Ting, and A. Fartaj. 2008. “Aerodynamic models for Darrieus-type straight-bladed vertical axis wind turbines.” Renewable Sustainable Energy Rev. 12 (4): 1087–1109. https://doi.org/10.1016/j.rser.2006.10.023.
Ji, C., A. Munjiza, and J. Williams. 2012. “A novel iterative direct-forcing immersed boundary method and its finite volume applications.” J. Comput. Phys. 231 (4): 1797–1821. https://doi.org/10.1016/j.jcp.2011.11.010.
Li, X., K. Yang, J. Bai, and J. Xu. 2016. “A new optimization approach to improve the overall performance of thick wind turbine airfoils.” Energy 116 (Dec): 202–213. https://doi.org/10.1016/j.energy.2016.09.108.
Luo, H., H. Dai, P. J. F. de Sousa, and B. Yin. 2012. “On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries.” Comput. Fluids 56 (Mar): 61–76. https://doi.org/10.1016/j.compfluid.2011.11.015.
Ma, N., H. Lei, Z. Han, D. Zhou, Y. Bao, K. Zhang, L. Zhou, and C. Chen. 2018. “Airfoil optimization to improve power performance of a high-solidity vertical axis wind turbine at a moderate tip speed ratio.” Energy 150 (May): 236–252. https://doi.org/10.1016/j.energy.2018.02.115.
Mohd Yusof, J. 1996. “Interaction of massive particles with turbulence.” Ph.D. thesis, Dept. of Mechanical and Aerospace Engineering, Cornell Univ.
Morgado, J., R. Vizinho, M. Silvestre, and J. Páscoa. 2016. “XFOIL vs CFD performance predictions for high lift low Reynolds number airfoils.” Aerosp. Sci. Technol. 52 (May): 207–214. https://doi.org/10.1016/j.ast.2016.02.031.
Mukesh, R., K. Lingadurai, and U. Selvakumar. 2014. “Airfoil shape optimization using non-traditional optimization technique and its validation.” J. King Saud Univ. Eng. Sci. 26 (2): 191–197. https://doi.org/10.1016/j.jksues.2013.04.003.
Noor, D. Z., M. J. Chern, and T. L. Horng. 2009. “An immersed boundary method to solve fluid-solid interaction problems.” Comput. Mech. 44 (4): 447–453. https://doi.org/10.1007/s00466-009-0384-5.
Peskin, C. S. 1972. “Flow patterns around heart valves: A numerical method.” J. Comput. Phys. 10 (2): 252–271. https://doi.org/10.1016/0021-9991(72)90065-4.
Ragheb, M. 2011. Vertical axis wind turbines. Urbana, IL: Univ. of Illinois at Urbana-Champaign.
Sobieczky, H. 1999. “Parametric airfoils and wings.” In Notes on numerical fluid mechanics, 71–87. Wiesbaden, Germany: Vieweg.
Sutherland, I. E., R. F. Sproull, and R. A. Schumacker. 1974. “A characterization of ten hidden-surface algorithms.” ACM Comput. Surv. 6 (1): 1–55. https://doi.org/10.1145/356625.356626.
Vaziri, N., M. J. Chern, and T. L. Horng. 2018. “Simulation of dynamic stall using direct-forcing immersed boundary method at low Reynolds number.” Aircr. Eng. Aerosp. Technol. 90 (5): 869–876. https://doi.org/10.1108/AEAT-05-2017-0128.
Zhu, W. J., W. Z. Shen, and J. N. Sørensen. 2014. “Integrated airfoil and blade design method for large wind turbines.” Renew. Energy 70 (Oct): 172–183. https://doi.org/10.1016/j.renene.2014.02.057.

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Published In

Go to Journal of Energy Engineering
Journal of Energy Engineering
Volume 147Issue 2April 2021

History

Received: Dec 5, 2019
Accepted: Oct 9, 2020
Published online: Dec 28, 2020
Published in print: Apr 1, 2021
Discussion open until: May 28, 2021

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Authors

Affiliations

Professor, Dept. of Mechanical Engineering, National Taiwan Univ. of Science and Technology, No. 43, Section 4, Keelung Rd., Taipei 10607, Taiwan (corresponding author). ORCID: https://orcid.org/0000-0002-7815-9455. Email: [email protected]
Desta Goytom Tewolde [email protected]
Ph.D. Student, Dept. of Mechanical Engineering, National Taiwan Univ. of Science and Technology, No. 43, Section 4, Keelung Rd., Taipei 10607, Taiwan. Email: [email protected]
Chao-Ching Kao
Dept. of Mechanical Engineering, National Taiwan Univ. of Science and Technology, No. 43, Section 4, Keelung Rd., Taipei 10607, Taiwan.
Assistant Professor, Dept. of Physics, Islamic Azad Univ., Imam Ali Complex, Moazen Blvd, Karaj, Alborz 3149968111, Iran. ORCID: https://orcid.org/0000-0001-9419-8414

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