A simple arithmetic mean to ensure the convergence of models based on Blade Element Momentum theory applied to Vertical Axis Wind Turbines simulations
DOI:
https://doi.org/10.21439/jme.v5i1.100Keywords:
Vertical Axis Wind Turbine, Aerodynamic Profle Simulations, Power Coeffcient Curve, Convergence Methodology, BEM ModelsAbstract
The computer models based on the Blade Element Momentum (BEM) theory are able to predict the aerodynamic performance of wind turbines with good accuracy and efficiency. However, these methods may present some convergence difficulties. This work presents the development of a methodology adopting arithmetic mean in situations of flow instability to ensure the convergence of BEM models applied to Vertical Axis Wind Turbines (VAWT) simulations. This methodology was used in the creation of a program written in Fortran, called FASTEEVSIM. Tests were conducted in a Darrieus wind turbine using NACA0018 and DU06W200 airfoils as blade profiles. A comparison of the results using the FASTEEVSIM with experimental data from well-known literature sources has been done in order to validate the method. When comparing the power coefficients obtained for two types of blade profiles, one symmetrical (NACA0018) and another asymmetrical (DU06W200), the final validation
results showed a mean square deviation of 3.62% and 6.09%, respectively. The results showed that the developed methodology can assist the convergence effectively and that the FASTEEVSIM program is able to predict the performance of VAWT, providing data close to experimental values in a simple and fast way.
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BONOW, A. A.; PETRY, A. P. Análise comparativa entre resultados experimental e numérico de torque estático de micro aerogerador. In: VII CBENS – GRAMADO, 2018.
BRINCK, D.; JEREMEJEFF, N. The development of a vertical axis tidal current turbine. Dissertação (Mestrado) — KTH School of Industrial Engineering and Manegement, 2013.
CLAESSENS, M. C. The design and testing of airfoils for application in small vertical axis wind turbines. Dissertação (Mestrado) — Master of Science Thesis, 2006.
DRELA, M. Xfoil: An analysis and design system for low reynolds number airfoils. p. 1–12, 1989. Disponível em: <https://doi.org/10.1007/978-3-642-84010-4_1>.
GUPTA, S.; LEISHMAN, J. G. Comparison of Momentum and Vortex Methods for the Aerodynamic Analysis of Wind Turbines. 43rd Aerospace Sciences Meeting and Exhibit, AIAA, Reno, NV, 2005.
HEALEY, J. V. Tandem-Disk Theory—With Particular Reference to Vertical Axis Wind Turbines. J. Energy, v. 54, p. 251–254, 1981.
HEALEY, J. V. Optimizing a Tandem Disk Model. J. Energy, v. 74, p. 382–384, 1983.
KLIMAS, P. C.; SHELDAHL, R. E. Four Aerodynamic Prediction Schemes for Vertical Axis Wind Turbines: A Compendium. Sandia National Laboratories, Technical Report No. SAND78 0014, 1978.
LI, Q.; MAEDA, T.; MASAYUKI, Y.; OGASAWARA, T.; KENTO, S.; KOGAKI, T. Study on power performance for straight-bladed vertical axis wind turbine by field and wind tunnel test. Renewable Energy, v. 90, p. 291–300, 2016. Disponível em: <https://doi.org/10.1016/j.renene.2016.01.002>.
MCINTOSH, S. C.; BABINSKY, H.; BERTéNYI, T. Convergence Failure and Stall Hysteresis in Actuator-Disk Momentum Models Applied to Vertical Axis Wind Turbines. Journal of Solar Energy Engineering, v. 131, n. 3, 07 2009. ISSN 0199-6231. 034502. Disponível em: <https://doi.org/10.1115/1.3142826>.
PARASCHIVOIU, I. Predicted and experimental aerodynamic forces on the Darrieus rotor. J. Energy, v. 7, n. 6, p. 610–615, 1983. Disponível em: <https://doi.org/10.2514/3.62706>.
PARASCHIVOIU, I.; FRAUNIE, P.; BEGUIER, C. Streamtube expansion effects on the darrieus wind turbine. Journal of Propulsion and Power, v. 1, p. 150–155, 1985. Disponível em: <https://doi.org/10.2514/3.22773>.
PONTA, F.; SEMINARA, J.; OTERO, A. On the aerodynamics of variable-geometry oval-trajectory darrieus wind turbines. Renewable energy, Elsevier, v. 32, n. 1, p. 35–56, 2007. Disponível em: <https://doi.org/10.1016/j.renene.2005.12.007>.
R.HOWELL; QIN, N.; EDWARDS, J.; DURRANI, N. Wind tunnel and numerical study of a
small vertical axis wind turbine. Renewable Energy, v. 35, p. 412–422, 2010. Disponível em: <https://doi.org/10.1016/j.renene.2009.07.025>.
SABER, E.; AFIFY, R.; ELGAMAL, H. Performance of SB-VAWT using a modified double multiple streamtube model. Alexandria Engineering Journal, v. 57, n. 4, p. 3099–3110, 2018. Disponível em:
<https://doi.org/10.1016/j.aej.2018.07.009>.
STRICKLAND, J. H. The darrieus turbine: a performance prediction model using multiple streamtubes. Sandia Labs., Albuquerque, N. Mex.(USA), 1975.
TEMPLIM, R. Aerodynamic performance theory for the nrc vertical-axis wind turbine. National Aeronautical Establishment, Ottawa, Ontario (Canada), 1974.
ZHANG, T.; WANG, Z.; HUANG, W.; INGHAM, D.; MA, L.; POURKASHANIAN, M. A numerical study on choosing the best configuration of the blade for vertical axis wind turbines. Journal of Wind Engineering and Industrial Aerodynamics, v. 201, p. 104–162, 2020. Disponível em: <https://doi.org/10.1016/j.jweia.2020.104162>.
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