[1] World Wind Energy Association (WWEA), "https://wwindea.org/," February
25, 2019. [Online]. Available: https://wwindea.org/blog/2019/02/25/windpower-capacity-worldwide-reaches-600-gw-539-gw-added-in-2018/.
[Accessed 31 May 2019].
[2] World Wind Energy Association (WWEA), "https://wwindea.org/," October
10, 2016. [Online]. Available: https://wwindea.org/blog/2016/10/10/wweahalf-year-report-worldwind-wind-capacity-reached-456-gw/. [Accessed 31
May 2019].
[3] World Wind Energy Association (WWEA), "https://wwindea.org/," June 8,
2017. [Online]. Available: https://wwindea.org/blog/2017/06/08/11961-2/.
[Accessed 31 May 2019].
Engineering
Section,
RIAM,
Kyushu
University,
[4] Wind
"https://www.riam.kyushu-u.ac.jp/,"
[Online].
Available:
https://www.riam.kyushu-u.ac.jp/windeng/en_MultiRotorTurbine.html.
[Accessed 31 May 2019].
[5] J. Cleijne, "Results of Sexbierum Wind Farm; single wake measurements,"
TNO-Report 93-082, TNO Institute of Environmental and Energy Technology,
1993.
[6] P. B. S. Lissaman, "Energy Effectiveness of Arbitrary Arrays of Wind
Turbines," Journal of Energy, vol. 3, no. 6, pp. 323-328, 1979.
[7] H. E. Neustadter and D. A. Spera, "Method for Evaluating Wind Turbine Wake
Effects on Wind Farm Performance," J. Sol. Energy Eng, vol. 107, no. 3, pp.
240-243, 1985.
101
[8] R. Barthelmie, S. Frandsen, K. Hansen, J. Schepers, K. Rados, W. Schlez, A.
Neubert, L. Jensen and S. Neckelmann, "Modelling the impact of wakes on
power output at Nysted and Horns Rev," in European Wind Energy Conference
and Exhibition, Marseilles, 2009.
[9] R. Barthelmie, S. Frandsen, O. Rathmann, E. Politis, J. Prospathopoulos, K.
Rados, K. Hansen, D. Cabezon, W. Schlez, J. Phillips, A. Neubert, S. van der
Pijl and J. Schepers, "Flow and wakes in large wind farms in complex terrain
and offshore," in American Wind Energy Association Conference, Houston,
Texas, 2008.
"flickr,"
License:
Creative
Commons,
Attribution[10] Vattenfall,
NonCommercial-NoDerivs 2.0 Generic. Taken on September 18, 2010.
[Online].
Available:
https://www.flickr.com/photos/vattenfall/5020350552/in/album72157619406616767/. [Accessed 30 May 2019].
[11] L. J. Vermeer, J. N. Sørensen and A. Crespo, "Wind turbine wake
aerodynamics," Progress in Aerospace Sciences, vol. 39, pp. 467-510, 2003.
[12] B. Sanderse, "Aerodynamics of wind turbine wakes," Energy Research Centre
of the Netherlands (ECN), ECN-E–09-016, 2009.
[13] Vattenfall, "flickr," License: Creative Commons, Attribution-NoDerivs 2.0
Generic. Taken on January 13, 2010. [Online]. Available:
https://www.flickr.com/photos/vattenfall/4270899001/in/album72157619406616767/. [Accessed 29 May 2019].
[14] M.-K. LIU, M. YOCKE and T. MYERS, "Mathematical model for the analysis
of wind-turbine wakes," Journal of Energy, vol. 7, no. 1, pp. 73-78, 1983.
102
[15] D. Elliott, "Status of wake and array loss research," in Windpower Conference,
Palm Springs, California, 1991.
[16] J. Ainslie, "Development of an eddy-viscosity model for wind turbine wakes,"
in BWEA conference, 1985.
[17] J. Ainslie, "Calculating the flowfield in the wake of wind turbines," Journal of
Wind Engineering and Industrial Aerodynamics, vol. 27, pp. 213-224, 1988.
[18] J. Højstrup, "Spectral coherence in wind turbine wakes," Journal of Wind
Engineering and Industrial Aerodynamics, vol. 80, pp. 137-146, 1999.
[19] J. Dahlberg, M. Poppen and S. Thor, "Load/fatigue life effects on a wind
turbine generator in a wind farm," in European Wind Energy Conference,
1991.
[20] H. Aagaard Madsen, G. C. Larsen and K. Thomsen, "Wake flow characteristics
in low ambient turbulence conditions," in Copenhagen Offshore Wind,
Copenhagen, Denmark, 2005.
[21] G. C. Larsen, H. Madsen Aagaard, F. Bingöl, J. Mann, S. Ott, J. Sørensen, V.
Okulov, N. Troldborg, N. M. Nielsen, K. Thomsen, T. J. Larsen and R.
Mikkelsen, "Dynamic wake meandering modeling," Risø-R-1607(EN), Risø
National Laboratory, Technical University of Denmark, 2007.
[22] D. Medici, "Experimental studies of wind turbine wakes - power optimisation
and meandering," PhD thesis, KTH Mechanics, Royal Institute of
Technology,, 2005.
[23] D. Medici and P. Alfredsson, "Measurements behind model wind turbines:
further evidence of wake meandering," Wind Energy, vol. 11, p. 211–217,
2008.
103
[24] T. Burton, D. Sharpe, N. Jenkins and E. Bossanyi, Wind Energy Handbook,
John Wiley & Sons, Ltd, 2001.
[25] I. Katic, J. Højstrup and N. Jensen, "A simple model for cluster efficiency," in
European Wind Energy Association Conference and Exhibition, Rome, Italy,
1987.
[26] J. Feng and W. Z. Shen, "Wind farm layout optimization in complex terrain: A
preliminary study on a Gaussian hill," J. Phys.: Conf. Ser., vol. 524, p. 012146,
2014.
[27] J. Feng, W. Z. Shen, K. S. Hansen, A. Vignaroli, A. Bechmann, W. J. Zhu, G.
C. Larsen, S. Ott, M. Nielsen, M. Jogararu and e. al, "Wind farm design in
complex terrain: the FarmOpt methodology," in China Wind Power 2017,
China International Exhibition Center (New Venue), Beijing, China, 2017.
[28] O. Ibrahim and S. Yoshida, "Experimental and Numerical Studies of a
Horizontal Axis Wind Turbine Performance over a Steep 2D Hill," Evergreen ,
vol. 5, no. 3, pp. 12-21, 2018.
[29] O. Ibrahim, S. Yoshida, M. Hamasaki and A. Takada, "Decay Factor of Wind
Turbine Wake in Accelerated Wind Field.," in JWEA Wind Energy Symposium,
Tokyo, 2018.
[30] S. Yoshida, "Performance of Downwind Turbines in Complex Terrains," Wind
Engineering, vol. 30, no. 6, pp. 487-501, 2006.
[31] T. Uchida, T. Maruyama, H. Ishikawa, M. Zako and A. and Deguchi,
"Investigation of the Causes of Wind Turbine Blade Damage at Shiratakiyama
Wind Farm in Japan : A Computer Simulation Based Approach," vol. 141, p.
13 – 25, 2011.
104
[32] G. Li, S. Takakuwa and T. and Uchida, "Application of CFD for Turbulence
Related Operational Risks Assessment of Wind Turbines in Complex Terrain,"
in EWEA2013, Vienna, 2013.
[33] W. Tian, A. Ozbay, W. Yuan, P. Sarakar and H. Hu, "An Experimental Study
on the Performances of Wind Turbines Over Complex Terrain," in 51st AIAA
Aerospace Sciences Meeting including the New Horizons Forum and
Aerospace Exposition, Texas, 2013.
[34] D. R. Webster, D. B. DeGraaff and J. K. Eaton, "Turbulence Characteristics of
a Boundary Layer Over a Two-Dimensional Bump," J. Fluid Mech., vol. 320,
pp. 53-69, 1996.
[35] C. G. Helmis, K. H. Papadopoulos, D. N. Asimakopoulos, P. G. Papageorgas
and A. T. Soilemes, "An Experimental Study of the Near-Wake Structure of a
Wind Turbine Operating Over Complex Terrain," Solar Energy, vol. 54, pp.
413-428, 1995.
[36] K. W. Ayotte and D. E. Hughes, "Observations of Boundary-Layer WindTunnel Flow Over Isolated Ridges of Varying Steepness and Roughness,"
Boundary-Layer Meteorology, vol. 112, p. 525–556, 2004.
[37] J. Walmsley, P. Taylor and T. Keith, "A simple model of neutrally stratified
boundary-layer flow over complex terrain with surface roughness modulations
(MS3DJH/3R)," Boundary-Layer Meteorology, vol. 36, p. 157–186, 1986.
[38] A. Beljaars, J. Walmsley and P. Taylor, "A mixed spectral finite-difference
model for neutrally stratified boundary-layer flow over roughness changes and
topography," Boundary-Layer Meteorology, vol. 38, pp. 273-303, 1987.
[39] I. Troen and E. Petersen, "European Wind Atlas," Risø National Laboratory,
Roskilde, Denmark, 1989.
105
[40] K. W. Ayotte and P. A. Taylor, "A Mixed Spectral Finite-Difference 3D Model
of Neutral Planetary Boundary-Layer Flow over Topography," J. Atmos. Sci.,
vol. 52, p. 3523–3538, 1995.
[41] S. Cao and T. Tamura, "Experimental study on roughness effects on turbulent
boundary layer flow over a two-dimensional steep hill," Journal of Wind
Engineering and Industrial Aerodynamics, vol. 94, pp. 1-19, 2006.
[42] T. Allen, "Flow over Hills with Variable Roughness," Boundary-Layer
Meteorology, vol. 121, p. 475–490, 2006.
[43] S. Cao and T. Tamura, "Effects of roughness blocks on atmospheric boundary
layer flow over a two-dimensional low hill with/without sudden roughness
change," Journal of Wind Engineering and Industrial Aerodynamics, vol. 95,
pp. 679-695, 2007.
[44] E. S. Politis, J. Prospathopoulos, D. Cabezon, K. S. Hansen, P. K.
Chaviaropoulos and R. J. Barthelmie, "Modeling wake effects in large wind
farms in complex terrain: the problem, the methods and the issues," Wind
Energy, vol. 15, pp. 161-182, 2012.
[45] A. Makridis and J. Chick, "Validation of a CFD model of wind turbine wakes
with terrain effects," Journal of Wind Engineering and Industrial
Aerodynamics, vol. 123, pp. 12-29, 2013.
[46] K. S. Hansen, G. C. Larsen, R. Menke, N. Vasiljevic, N. Angelou, J. Feng, W.
J. Zhu, A. Vignaroli, W. Liu W, C. Xu and W. Z. Shen, "Wind turbine wake
measurement in complex terrain," Journal of Physics: Conference Series, vol.
753, p. 032013, 2016.
[47] F. Castellani, D. Astolfi, M. Mana, E. Piccioni, M. Becchetti and L. Terzi,
"Investigation of terrain and wake effects on the performance of wind farms in
106
complex terrain using numerical and experimental data," Wind Energy, vol. 20,
p. 1277–1289, 2017.
[48] D. Astolfi, F. Castellani and L. Terzi, "A study of wind turbine wakes in
complex terrain through RANS simulation and SCADA data," Journal of Solar
Energy Engineering, vol. 140, no. 3, p. 031001, 2018.
[49] A. Hyvärinen and A. Segalini, "Effects from complex terrain on wind-turbine
performance," Journal of Energy Resources Technology, vol. 139, no. 5, p.
051205, 2017.
[50] A. Hyvärinen and A. Segalini, "Qualitative analysis of wind-turbine wakes
over hilly terrain," Journal of Physics: Conference Series, vol. 854, p. 012023,
2017.
[51] F. Porté-Agel, Y.-T. Wu, H. Lu and R. J. Conzemius, "Large-Eddy Simulation
of Atmospheric Boundary Layer Flow through Wind Turbines and Wind
Farms," Journal of Wind Engineering and Industrial Aerodynamics, vol. 99,
no. 4, pp. 154-168, 2011.
[52] H. Zhong, P. Du, F. Tang and L. Wang, "Lagrangian Dynamic Large-Eddy
Simulation of Wind Turbine near Wakes Combined with an Actuator Line
Method," Applied Energy, vol. 144, pp. 224-233, 2015.
[53] J. Berg, N. Troldborg, N. N. Sørensen, E. G. Patton and P. P. Sullivan, "LargeEddy Simulation of turbine wake in complex terrain," Journal of Physics:
Conference Series, vol. 854, p. 012003, 2017.
[54] M. Tabib, A. Rasheed and F. Fuchs, "Analyzing complex wake-terrain
interactions and its implications on wind-farm performance," Journal of
Physics: Conference Series, vol. 753, p. 032063, 2016.
107
[55] O. Ibrahim, S. Yoshida, M. Hamasaki and A. Takada, "Wind Turbine Wake
Modeling in Accelerating Wind Field: A Preliminary Study on a TwoDimensional Hill," Fluids, Vols. 4, 153, 2019.
[56] [Online]. Available: http://www.riam.kyushu-u.ac.jp/windeng/en_index.html.
[57] Y. Ohya and T. Karasudani, "A shrouded wind turbine generating high output
power with wind-lens technology," Energies, vol. 3, no. 4, pp. 634-649, 2010.
[58] U. Goltenbott, Y. Ohya, S. Yoshida and P. Jamieson, "Aerodynamic
interaction of diffuser augmented wind turbines in multi-rotor systems,"
Renewable Energy, vol. 112, pp. 25-34, 2017.
"http://www.kanomax.co.jp/,"
[Online].
Available:
[59] Kanomax,
http://www.kanomax.co.jp/img_data/file_730_1358246410.pdf. [Accessed 30
May 2019].
[60] NISSHO ELECTRIC WORKS CO., LTD., [Online]. Available:
http://www.nissho-ew.co.jp/_userdata/LMC-6566A.pdf. [Accessed June 7,
2019].
[61] F. Zahle, N. N. Sørensen and J. Johansen, "Wind turbine rotor-tower
interaction using an incompressible overset grid method," Wind Energy, vol.
12, no. 6, p. 594–619, 2009.
[62] N. N. Sørensen, J. A. Michelsen and S. Schreck, "Navier–Stokes predictions
of the NREL phase VI rotor in the NASA Ames 80 ft × 120 ft wind tunnel,"
Wind Energy, vol. 5, pp. 151-169, 2002.
[63] J. Mo, A. Choudhry, M. Arjomandi and Y. Lee, "Large eddy simulation of the
wind turbine wake characteristics in the numerical wind tunnel model,"
108
Journal of Wind Engineering and Industrial Aerodynamics, vol. 112, pp. 1124, 2013.
[64] F. Zahle and N. N. Sørensen, "On the influence of far-wake resolution on wind
turbine flow simulations," Journal of Physics: Conference Series, vol. 75, no.
https://doi.org/10.1088/1742-6596/75/1/012042, p. 012042, 2007.
[65] E. P. N. Duque, C. P. van Dam and S. C. Hughes, "Navier-Stokes simulations
of the NREL combined experiment phase II rotor," in 37th Aerospace Sciences
Meeting and Exhibit, Reno,NV,U.S.A, 1999.
[66] F. Zahle and N. N. Sørensen, "Overset grid flow simulation on a modern wind
turbine," in 26th AIAA Applied Aerodynamics Conference, Honolulu, Hawaii,
2008.
[67] P. Réthoré, P. Laan, N. Troldborg, F. Zahle and N. N. Sørensen, "Verification
and validation of an actuator disc model," Wind Energy, vol. 17, no. 6, pp. 919937, 2014.
[68] P. Réthoré, N. N. Sørensen and F. Zahle, "Validation of an actuator disc
model," in EWEC 2010, 2010.
[69] J. Johansen, N. N. Sørensen, J. A. Michelsen and S. Schreck, "Detached‐eddy
simulation of flow around the NREL Phase VI blade," Wind Energy, vol. 5, pp.
185-197, 2002.
[70] N. N. Sørensen and A. Myken, "Unsteady actuator disc model for horizontal
axis wind turbines," Journal of Wind Engineering and Industrial
Aerodynamics, vol. 39, pp. 139-149, 1992.
[71] C. Masson, A. Smaïli and C. Leclerc, "Aerodynamic analysis of HAWTs
operating in unsteady conditions," Wind Energy, vol. 4, pp. 1-22, 2001.
109
[72] F. Castellani and A. Vignaroli, "An application of the actuator disc model for
wind turbine wakes calculations," Applied Energy, vol. 101, pp. 432-440,
2013.
[73] N. Troldborg, J. N. Sørensen and R. Mikkelsen, "Actuator Line Simulation of
Wake of Wind Turbine Operating in Turbulent Inflow," Journal of Physics:
Conference Series, vol. 75, p. 012063, 2007.
[74] G. D. Raithby, G. D. Stubley and P. A. Taylor, "The Askervein Hill project: a
finite control volume prediction of three-dimensional flows over the hill,"
Boundary-Layer Meteorology, vol. 39, no. 3, p. 247–267, 1987.
[75] N. N. Sørensen, "General purpose flow solver applied to flow over hills," Risø
National Laboratory, Risø-R-827(EN), 1995.
[76] B. E. Launder and D. B. Spalding, "The numerical computation of turbulent
flows," Computer Methods in Applied Mechanics and Engineering, vol. 3, no.
2, p. 269–289, 1974.
[77] A. Bechmann and N. N. Sørensen, "Hybrid RANS/LES method for wind flow
over complex terrain," Wind Energy, vol. 13, p. 36–50, 2010.
[78] Z. Liu, T. Ishihara, X. He and H. Niu, "LES study on the turbulent flow fields
over complex terrain covered by vegetation canopy," Journal of Wind
Engineering and Industrial Aerodynamics, vol. 155, pp. 60-73, 2016.
[79] A. Bechmann, "Large-Eddy Simulation of Atmospheric Flow over Complex
Terrain," Risø National Laboratory, Risø-PhD-28(EN), 2006.
[80] J. Smagorinsky, "General circulation experiments with the primitive equations:
I. The basic experiment," Monthly Weather Review, vol. 91, no. 3, p. 99–164,
1963.
110
[81] ANSYS, Inc., [Online]. Available: https://www.ansys.com/.
[82] F. R. Menter, R. B. Langtry, S. R. Likki, Y. B. Suzen, P. G. Huang and S.
Völker, "A correlation-based transition model using local variables—part I:
model formulation," J. Turbomach, vol. 128, no. 3, pp. 413-422, 2004.
[83] R. B. Langtry, F. R. Menter, S. R. Likki, Y. B. Suzen, P. G. Huang and S.
Völker, "A correlation-based transition model using local variables—part II:
test cases and industrial applications," J. Turbomach, vol. 128, no. 3, pp. 423434, 2004.
[84] F. R. Menter, R. Langtry and S. Völker, "Transition modelling for general
purpose CFD codes," Flow Turbulence Combust, vol. 77, p. 277–303, 2006.
[85] R. B. Langtry, J. Gola and F. R. Menter, "Predicting 2D airfoil and 3D wind
turbine rotor performance using a transition model for general CFD codes," in
44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 2006.
[86] N. N. Sørensen, "CFD modelling of laminar-turbulent transition for airfoils and
rotors using the γ - model," Wind Energy, vol. 12, no. 8, pp. 715-733, 2009.
[87] The OpenFOAM Foundation Ltd, [Online]. Available: https://openfoam.org/.
111
Appendices
112
Appendix A
Wind Turbine Load Measurement in the Wake over the hill
The objective of this configuration was to measure the load of a wind turbine operating in the wake
of another wind turbine over the hill as shown in Figure A.1. The 1st wind turbine was located at
X=-L. The 2nd wind turbine was located at X=-L/2, X = 0, X = L/2, and X = L. Both wind turbines
had a diameter D = 0.512 m. The inlet wind velocity was 7 m/s. The forces acting on wind turbine
in X, Y, and Z directions as well as the moments around X, Y, and Z directions were measured
using a 6 component load cell.
(a)
113
(b)
Figure A.1 (a) Wind tunnel test configuration setup; (b) a schematic diagram of the
measurement setup.
Cp and Ct of the 2nd wind turbine were obtained at X = - 780 mm, X = 0, X = 780
mm, and X = 1560 mm as shown in Figure A.2 to A.9. Rotational speeds of the 1st
wind turbine was n = 783 rpm, 1044 rpm, and 1306 rpm.
114
Figure A.2 1st WT at x=-1560mm, 2nd WT at x= -780mm
115
Figure A.3 1st WT at x=-1560mm, 2nd WT at x= -780mm
116
Figure A.4 1st WT at x=-1560mm, 2nd WT at x=0.
117
Figure A.5 1st WT at x=-1560mm, 2nd WT at x=0.
118
Figure A.6 1stWT at x=-1560mm, 2nd WT at x=+780mm.
119
Figure A.7 1st WT at x=-1560mm, 2ndWT at x=+780mm.
120
Figure A.8 1stWT at x=-1560mm, 2ndWT at x=+1560mm.
121
Figure A.9 1stWT at x=-1560mm, 2ndWT at x=+1560mm.
122
Appendix B
Wind Turbine Load Measurement in the Wake over Flat Terrain
The objective of this configuration was to measure the load of a wind turbine operating in the wake
of another wind turbine over flat terrain as shown in Figure B.1. The 1st wind turbine was located
at X=-L. The 2nd wind turbine was located at X = 0. Both wind turbines had a diameter D = 0.512
m. The inlet wind velocity was 7 m/s. The forces acting on wind turbine in X, Y, and Z directions
as well as the moments around X, Y, and Z directions were measured using a 6 component load
cell. Figure B.2 shows a comparison between the two-dimensional hill and the flat terrain.
(a)
123
(b)
Figure B.1 (a) Wind tunnel test configuration setup; (b) a schematic diagram of the
measurement setup.
(a)
124
(b)
Figure B.2 A comparison between the two-dimensional hill and the flat terrain (a)
Power coefficient; (b) Thrust coefficient.
...