Blade number effects in a scaled down wind farm

Two 3 × 4 scaled down wind farms were analyzed to understand differences in wind turbine boundary layers when turbines operating at identical power coefficients have two or three blades. Mean streamwise velocities in two bladed turbine near wakes ranged between 10 and 100% larger than those in the three bladed case with large differences just behind the nacelle. In the rotor swept region of far wakes, mean velocity differences between the two arrays were about 10% (max) and became smaller with increasing streamwise direction. Contrary to these findings, regions above and below rotors become less similar deep in the array. Incoming flow to downstream turbines was shown to have greater Reynolds streamwise normal stress for three bladed rotors. Percentage differences ranged between about 30% for the second turbine down to 10% for the fourth turbine. Additionally, there is qualitative evidence that suggests incoming streamwise Reynolds normal stress becomes similar between the two types of turbines, indicating that asymptotically two and three bladed turbines could have similar fatigue loading properties. These results show that use of two bladed turbines would have the most impact when used in a wind farm's first two rows.

[1]  Dan S. Henningson,et al.  NONLINEAR RECEPTIVITY TO OBLIQUE VORTICAL MODES IN FLOW PAST AN ELLIPTIC LEADING EDGE , 2012, Proceeding of Seventh International Symposium on Turbulence and Shear Flow Phenomena.

[2]  Derek B. Ingham,et al.  Laminar boundary layer on an impulsively started rotating sphere , 1979 .

[3]  Yuri Bazilevs,et al.  3D simulation of wind turbine rotors at full scale. Part I: Geometry modeling and aerodynamics , 2011 .

[4]  E. S. Politis,et al.  Modelling and measurements of wakes in large wind farms , 2007 .

[5]  J. Højstrup,et al.  A Simple Model for Cluster Efficiency , 1987 .

[6]  E. S. Politis,et al.  Modelling and Measuring Flow and Wind Turbine Wakes in Large Wind Farms Offshore , 2009, Renewable Energy.

[7]  Rebecca J. Barthelmie,et al.  Analytical modelling of wind speed deficit in large offshore wind farms , 2006 .

[8]  Nicholas Hamilton,et al.  Wind turbine boundary layer arrays for Cartesian and staggered configurations-Part I, flow field and power measurements , 2015 .

[9]  Charles Meneveau,et al.  Streamwise development of the wind turbine boundary layer over a model wind turbine array , 2013 .

[10]  A. Messac,et al.  Optimizing the unrestricted placement of turbines of differing rotor diameters in a wind farm for maximum power generation , 2010, DAC 2010.

[11]  Charles Meneveau,et al.  Direct mechanical torque sensor for model wind turbines , 2010 .

[12]  Johan Meyers,et al.  Optimal turbine spacing in fully developed wind farm boundary layers , 2012 .

[13]  A. Rosen,et al.  The power fluctuations of a wind turbine , 1996 .

[14]  Fernando Porté-Agel,et al.  Large-eddy simulation of atmospheric boundary layer flow through wind turbines and wind farms , 2011 .

[15]  John O. Dabiri Potential order-of-magnitude enhancement of wind farm power density via counter-rotating vertical-axis wind turbine arrays , 2010 .

[16]  Sheng Huan Wang,et al.  Blade number effect for a ducted wind turbine , 2008 .

[17]  J. Sørensen,et al.  Wind turbine wake aerodynamics , 2003 .

[18]  H. Lettau Note on Aerodynamic Roughness-Parameter Estimation on the Basis of Roughness-Element Description , 1969 .

[19]  J. Sørensen Aerodynamic Aspects of Wind Energy Conversion , 2011 .

[20]  Davide Medici,et al.  Experimental studies of wind turbine wakes : power optimisation and meandering , 2005 .

[21]  Jie Zhang,et al.  A Response Surface-Based Cost Model for Wind Farm Design , 2012 .

[22]  Henrik Alfredsson,et al.  Measurements on a wind turbine wake: 3D effects and bluff body vortex shedding , 2006 .

[23]  L. Chamorro,et al.  Reynolds number dependence of turbulence statistics in the wake of wind turbines , 2012 .

[24]  C. Meneveau,et al.  Large eddy simulation study of fully developed wind-turbine array boundary layers , 2010 .

[25]  Fred Nitzsche,et al.  Evaluating Reynolds number effects in small-scale wind turbine experiments , 2013 .

[26]  Morten Nielsen,et al.  Modelling and measurements of power losses and turbulence intensity in wind turbine wakes at Middelgrunden offshore wind farm , 2007 .

[27]  F. Porté-Agel,et al.  Simulation of Turbulent Flow Inside and Above Wind Farms: Model Validation and Layout Effects , 2012, Boundary-Layer Meteorology.

[28]  Yozo Fujino,et al.  A peak factor for non-Gaussian response analysis of wind turbine tower , 2008 .

[29]  Leo E. Jensen,et al.  Quantifying the Impact of Wind Turbine Wakes on Power Output at Offshore Wind Farms , 2010 .

[30]  Fernando Porté-Agel,et al.  Turbulent Flow Inside and Above a Wind Farm: A Wind-Tunnel Study , 2011 .

[31]  B. Koren,et al.  Review of computational fluid dynamics for wind turbine wake aerodynamics , 2011 .

[32]  John O. Dabiri,et al.  Energy exchange in an array of vertical-axis wind turbines , 2012 .

[33]  G. N. Coleman,et al.  The turbulent Ekman boundary layer over an infinite wind-turbine array , 2012 .

[34]  Sten Tronæs Frandsen,et al.  On the wind speed reduction in the center of large clusters of wind turbines , 1992 .

[35]  Nicholas Hamilton,et al.  Wind turbine boundary layer arrays for Cartesian and staggered configurations: Part II, low‐dimensional representations via the proper orthogonal decomposition , 2015 .

[36]  Charles Meneveau,et al.  Experimental study of the kinetic energy budget in a wind turbine streamtube , 2011 .

[37]  F. Sotiropoulos,et al.  Computational study and modeling of turbine spacing effects in infinite aligned wind farms , 2012 .

[38]  F. Porté-Agel,et al.  A Wind-Tunnel Investigation of Wind-Turbine Wakes: Boundary-Layer Turbulence Effects , 2009 .