Journal of Applied and Computational Mechanics
Torsional Aeroelasticity of a Flexible VAWT Blade using a Combined Aerodynamic Method by Considering Post-stall and Local Reynolds Regime
Document Type : Research Paper
Authors
Department of Aerospace Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran
Abstract
The present research investigates the torsional aeroelasticity of the blade of an H-type vertical axis wind turbine subject to stall and post-stall conditions in various Reynolds regimes, which is experienced by the blade in a full revolution. In order to simulate the aerodynamics, a new model based on a combination of the Double Multi Streamtubes (DMST) model and the nonlinear multi-criteria Cl-a equations, which is depended on the local Reynolds number of the flow, has been proposed. The results indicate that using of multi-criteria function dependent on the Reynolds number for the Cl-a curve has improved the prediction of the torsional behavior of the blade in azimuthal rotation of the blade compared to using single-criterion functions and linear aerodynamics. The blade’s aeroelastic torsion has been studied for various TSR values.
Keywords
Main Subjects
[1] C. Jauch, J. Matevosyan, T. Ackermann, and S. Bolik, International comparison of requirements for connection of wind turbines to power systems, Wind Energy, 8(3), 2005, 295–306.
[2] K. Pope, G. F. Naterer, I. Dincer, and E. Tsang, Power correlation for vertical axis wind turbines with varying geometries, Int. J. Energy Res., 35(5), 2011, 423–435.
[3] J. Lin, Y.-L. Xu, Y. Xia, and C. Li, Structural Analysis of Large-Scale Vertical-Axis Wind Turbines, Part I: Wind Load Simulation, Energies, 12(13), 2019, 1-31.
[4] Y. Li, Straight-Bladed Vertical Axis Wind Turbines: History, Performance, and Applications, IntechOpen,2019.
[5] M. Islam, D. Ting, and A. Fartaj, Aerodynamic models for Darrieus-type straight-bladed vertical axis wind turbines, Renew. Sustain. Energy Rev., 12(4), 2008, 1087–1109.
[6] N. Hettiarachchi, Overview of the Vertical Axis Wind Turbines, Int. J. Sci. Res. Innov. Technol., 4(8), 2017, 56-67.
[7] J. Liu, H. Lin, and J. Zhang, Review on the technical perspectives and commercial viability of vertical axis wind turbines, Ocean Eng., 182, 2019, 608–626.
[8] T. J. Carrigan, B. H. Dennis, Z. X. Han, and B. P. Wang, Aerodynamic shape optimization of a verticalaxis wind turbine using differential evolution, Wind Turbine Technol. Princ. Des., 2011, Article ID 528418, 16p.
[9] L. Battisti, A. Brighenti, E. Benini, and M. R. Castelli, Analysis of different blade architectures on small VAWT performance, J. Phys. Conf. Series, 753(6), 2016, 62009.
[10] A. Meana-Fernández, L. Diaz-Artos, J. M. Fernández Oro, and S. Velarde-Suárez, Proposal of an Optimized Airfoil Geometry for Vertical-Axis Wind Turbine Applications, Multidisciplinary Digital Publishing Institute Proceedings, 2(23), 2018, 1464.
[11] I. Paraschivoiu, S. Shams, and N. V Dy, Performance assessment of Darrieus wind turbines with symmetric and cambered airfoils, Trans. Can. Soc. Mech. Eng., 42(4), 2018, 382–392.
[12] R. J. Templin, Aerodynamic performance theory for the NRC vertical-axis wind turbine, NASA STI/RECON Tech. Rep., 76, 1974, 16p.
[13] J. H. Strickland, Darrieus turbine: a performance prediction model using multiple streamtubes, United States: N. P., 1975.
[14] I. Paraschivoiu, Double-multiple streamtube model for studying vertical-axis wind turbines, J. Propuls. power, 4(4), 1988, 370–377.
[15] I. Paraschivoiu, Wind Turbine Design: With Emphasis on Darrieus Concept. Polytechnic International Press, 2002.
[16] J. Katz and A. Plotkin, Low-speed Aerodynamics, Cambridge University Press, UK, 2001.
[17] D. Badiei, M. H. Sadr, and S. Shams, Nonlinear aeroelastic behavior of slender wings considering a static stall model based on wagner function, Appl. Mech. Mater., 186, 2012, 297–304.
[18] R. Lanzafame and M. Messina, Advanced brake state model and aerodynamic post-stall model for horizontal axis wind turbines, Renew. Energy, 50, 2013, 415–420.
[19] M. S. Hameed and S. K. Afaq, Design and analysis of a straight bladed vertical axis wind turbine blade using analytical and numerical techniques, Ocean Eng., 57, 2013, 248–255.
[20] S. Brusca, R. Lanzafame, and M. Messina, Design of a vertical-axis wind turbine: how the aspect ratio affects the turbine’s performance, Int. J. Energy Environ. Eng., 5(4), 2014, 333–340.
[21] W. Tjiu, T. Marnoto, S. Mat, M. H. Ruslan, and K. Sopian, Darrieus vertical axis wind turbine for power generation I: Assessment of Darrieus VAWT configurations, Renew. Energy, 75, 2019, 50-67.
[22] W. Liu and Q. Xiao, Investigation on Darrieus type straight blade vertical axis wind turbine with flexible blade, Ocean Eng., 110, 2015, 339–356.
[23] T. Brahimi, F. Saeed, and I. Paraschivoiu, Aerodynamic Models for the Analysis of Vertical Axis Wind Turbines (VAWTs), Int. J. Mech. Aerospace, Ind. Mechatron. Manuf. Eng., 10(1), 2016, 203-209.
[24] S. Shams, M. Kazemi, B. Mirzavand Brojeni, and Z. Khojasteh_Bakhteh Koupaei, Investigation of nonlinear aeroelastic behavior of airfoils with flow separation based on cubic static stall modeling, Modares Mech. Eng., 16(12), 2016, 311–322.
[25] D. Marten, G. Pechlivanoglou, C. Navid Nayeri, and C. Oliver Paschereit, Nonlinear Lifting Line Theory Applied to Vertical Axis Wind Turbines: Development of a Practical Design Tool, J. Fluids Eng., 140(2), 2017, 021107.
[26] Q. Li, T. Maeda, Y. Kamada, Y. Hiromori, A. Nakai, and T. Kasuya, Study on stall behavior of a straight-bladed vertical axis wind turbine with numerical and experimental investigations, J. Wind Eng. Ind. Aerodyn., 164, 2017, 1-12.
[27] Z. Zhao et al., Variable Pitch Approach for Performance Improving of Straight-Bladed VAWT at Rated Tip Speed Ratio, Appl. Sci., 8(6), 2018, 957.
[28] J. Lin, Y. Xu, and Y. Xia, Structural Analysis of Large-Scale Vertical Axis Wind Turbines Part II: Fatigue and Ultimate Strength Analyses, Energies, 12(13), 2019, 2584.
[29] Z. Wu, G. Bangga, and Y. Cao, Effects of lateral wind gusts on vertical axis wind turbines, Energy, 167, 2019, 1212-1223.
[30] S. Shams and R. Esbati Lavasani, Derivation and Aeroelastic Analysis of a Rotating Airfoil Using Unsteady Loewy Aerodynamic and Flutter Suppression by PID Controller, Modares Mech. Eng., 19(6), 2019, 1347–1354.
[31] R. E. Wilson and L. P.B.S., Machines power wind of aerodynamics, Ntis Pb 238594, no. Oregon State University, 1974.
[32] I. Paraschivoiu, Double-multiple streamtube model for Darrieus in turbines, In NASA. Lewis Research Center Wind Turbine Dyn., 1981, 19-25.
[33] R. Sheldehl and P. Klimas, Aerodynamic Characteristics of Seven Airfoil Sections through 180-Degree Angle of Attack, Report SAND80–2114. Sandia National Laboratories; Alberquerque, New Mexico, USA, 1981.
[34] D. H. Hodges and G. A. Pierce, Introduction to Structural Dynamics and Aeroelasticity, Cambridge Aerospace Series, Vol. 15, 2011.
[35] E. H. Dowell, A Modern Course in Aeroelasticity, Springer International Publishing, 2015.
)
