Low-order modeling of wind farm aerodynamics using leaky Rankine bodies

Journal of Renewable and Sustainable Energy

Volumn 6, Issue 6, 2014, Pages

  Araya, Daniel B ^a   Craig, Anna E ^a   Kinzel, Matthias ^a   Dabiri, John O ^a,b  

^a California Institute of Technology   (United States)

^b California Institute of Technology HHMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATOR DISKS; FLUID DYNAMICS; WAKES; WIND POWER;

ARRAY CONFIGURATIONS; ARRAY PERFORMANCE; COMPUTATIONAL EXPENSE; DYNAMIC MECHANISM; FIELD MEASUREMENT; POTENTIAL SOURCES; RELATIVE STRENGTH; VERTICAL AXIS WIND TURBINES;

WIND TURBINES;

EID: 84920285718     PISSN: None     EISSN: 19417012     Source Type: Journal    
DOI: 10.1063/1.4905127     Document Type: Article

References (31)

1. W. J. M. Rankine, " On the mechanical principles of the action of propellers," Trans. Inst. Nav. Archit. 6, 13 (1865).
2. D. Yang, C. Meneveau, and L. Shen, " Large-eddy simulation of offshore wind farm," Phys. Fluids 26, 025101 (2014). 10.1063/1.4863096
3. Wind Turbine Technology: Fundamental Concepts of Wind Turbine Engineering, edited by D. A. Spera, 2nd ed. (ASME Press, New York, 2009).
4. M. O. L. Hansen, J. N. Sørensen, S. Voutsinas, N. Sørensen, and H. Aa. Madsen, " State of the art in wind turbine aerodynamics and aeroelasticity," Prog. Aerosp. Sci. 42, 285 (2006). 10.1016/j.paerosci.2006.10.002
5. A. Betz, " Das maximum der theoretisch möglichen ausnützung des windes durch windmotoren," Z. Gesamte Turbinenwesen 26, 307 (1920).
6. P. B. S. Lissaman, " Energy effectiveness of arbitrary arrays of wind turbines," J. Energy 3, 323 (1979). 10.2514/3.62441
7. P. B. S. Lissaman, G. W. Gyatt, and A. D. Zalay, " Numeric modeling sensitivity analysis of the performance of wind turbine arrays," Technical Report No. PNL-4183, Pacific Northwest Laboratory, 1982.
8. E. Hau, Wind Turbines, 2nd ed. (Springer Verlag, Berlin, 2005).
9. J. Meyers and C. Meneveau, " Optimal turbine spacing in fully developed wind-farm boundary layers," Wind Energy 15, 305 (2012). 10.1002/we.469
10. J. O. Dabiri, " Potential order-of-magnitude enhancement of wind farm power density via counter-rotating vertical-axis wind turbine arrays," J. Renewable Sustainable Energy 3, 043104 (2011). 10.1063/1.3608170
11. M. Kinzel, Q. Mulligan, and J. O. Dabiri, " Energy exchange in an array of vertical-axis wind turbines," J. Turbul. 13, 1 (2012) 10.1080/14685248.2012.712698.
12. K. J. Touryan, J. H. Strickland, and D. E. Berg, " Electric power from vertical-axis wind turbines," J. Propul. Power 3, 481 (1987). 10.2514/3.23015
13. M. Islam, D. S.-K. Ting, and A. Fartaj, " Aerodynamic models for Darrieus-type straight-bladed vertical axis wind turbines," Renewable Sustainable Energy Rev. 12, 1087 (2008). 10.1016/j.rser.2006.10.023
14. R. J. Templin, " Aerodynamic performance theory for the NRC vertical-axis wind turbine," Technical Report No. LTR-LA-160, National Aeronautical Establishment Laboratory, 1974.
15. L. Martinelli and A. J. Smits, " High-fidelity computational fluid dynamics (CFD) for the wind/tidal energy industry," in Proceedings of the HKIE Civil Division International Conference (2012), pp. 1-10.
16. S. Shamsoddin and F. Porté-Agel, " Large eddy simulation of vertical axis wind turbine wakes," Energies 7, 890 (2014). 10.3390/en7020890
17. R. G. Rajagopalan, T. L. Rickerl, and P. C. Klimas, " Aerodynamic interference of vertical axis wind turbines," J. Propul. Power 6, 645 (1990). 10.2514/3.23266
18. R. W. Whittlesey, S. Liska, and J. O. Dabiri, " Fish schooling as a basis for vertical axis wind turbine farm design," Bioinspiration Biomimetics 5, 035005 (2010). 10.1088/1748-3182/5/3/035005
19. I. Ammara, C. Leclerc, and C. Masson, " A viscous three-dimensional differential/actuator-disk method for the aerodynamic analysis of wind farms," J. Sol. Energy 124, 345 (2002). 10.1115/1.1510870
20. G. Marmidis, S. Lazarou, and E. Pyrgioti, " Optimal placement of wind turbines in a wind park using Monte Carlo simulation," Renewable Energy 33, 1455 (2008). 10.1016/j.renene.2007.09.004
21. M. Calaf, C. Meneveau, and J. Meyers, " Large eddy simulation study of fully developed wind-turbine array boundary layers," Phys. Fluids 22, 015110 (2010). 10.1063/1.3291077
22. L. P. Chamorro and F. Porté-Agel, " Effects of thermal stability and incoming boundary-layer flow characteristics on wind-turbine wakes: A wind-tunnel study," Boundary Layer Meteorol. 136, 515 (2010). 10.1007/s10546-010-9512-1
23. C. W. Dawson, " A practical computer method for solving ship-wave problems," in Proceedings of Second International Conference on Numerical Ship Hydrodynamics (1977), pp. 30-38.
24. B. Zhang, K. Ma, and Z. Ji, " The optimization of the hull form with the minimum wave making resistance based on Rankine source method," J. Hydrodyn. Ser. B 21, 277 (2009). 10.1016/S1001-6058(08)60146-8
25. J. L. Hess, " Panel methods in computational fluid dynamics," Annu. Rev. Fluid Mech. 22, 255 (1990). 10.1146/annurev.fl.22.010190.001351
26. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, New York, 1967).
27. G. Birkhoff and E. H. Zarantonello, Jets, Wakes, and Cavities (Academic Press, Inc., New York, 1957).
28. T. Y. Wu, " A wake model for free-streamline flow theory. Part 1. Fully and partially developed wake flows and cavity flows past an oblique flat plate," J. Fluid Mech. 13, 161 (1962). 10.1017/S0022112062000609
29. B. Protas, " Vortex dynamics models in flow control problems," Nonlinearity 21, R203 (2008). 10.1088/0951-7715/21/9/R01
30. G. L. Vasconcelos, M. N. Moura, and A. M. J. Schakel, " Vortex motion around a circular cylinder," Phys. Fluids 23, 123601 (2011). 10.1063/1.3667269
31. L. M. Milne-Thomson, Theoretical Hydrodynamics (The Macmillan Company, New York, 1960).