As the major part of new wind turbines are installed in clusters or wind farms, there is a strong need for reliable and accurate tools for predicting the increased loadings due to wake operation and the associated reduced power production. The dynamic wake meandering (DWM) model has been developed on this background, and the basic physical mechanisms in the wake—i.e., the velocity deficit, the meandering of the deficit, and the added turbulence—are modeled as simply as possible in order to make fast computations. In the present paper, the DWM model is presented in a version suitable for full integration in an aeroelastic model. Calibration and validation of the different parts of the model is carried out by comparisons with actuator disk and actuator line (ACL) computations as well as with inflow measurements on a full-scale 2 MW turbine. It is shown that the load generating part of the increased turbulence in the wake is due almost exclusively to meandering of the velocity deficit, which causes “apparent” turbulence when measuring the flow in a fixed point in the wake. Added turbulence, originating mainly from breakdown of tip vortices and from the shear of the velocity deficit, has only a minor contribution to the total turbulence and with a small length scale in the range of 10–25% of the ambient turbulence length scale. Comparisons of the calibrated DWM model with ACL results for different downstream positions and ambient turbulence levels show good correlation for both wake deficits and turbulence levels. Finally, added turbulence characteristics are compared with correlation results from literature.

1.
Frandsen
,
S.
, 2003, “
Turbulence and Turbulence Generated Structural Loading in Wind Turbine Clusters
,” Risø Report No. Risø-R-1188(EN).
2.
2004, “
Wind Turbines. Part 1: Design Requirements
,” Report No. IEC 61400-1.
3.
Madsen
,
H. A.
,
Thomsen
,
K.
, and
Larsen
,
G. C.
, 2003, “
A New Method for Prediction of Detailed Wake Loads
,”
Proceedings of the IEA Joint Action of Wind Turbines 16th Symposium
,
S. -E.
Thor
, ed., pp.
171
188
.
4.
Thomsen
,
K.
, and
Madsen
,
H. A.
, 2005, “
A New Simulation Method for Turbine in Wakes—Applied to Extreme Response during Operation
,”
Wind Energy
1095-4244,
8
, pp.
35
47
.
5.
Sørensen
,
J. N.
, and
Shen
,
W. Z.
, 1999, “
Computation of Wind Turbine Wakes Using Combined Navier Stokes/Actuator-Line Methodology
,”
Proceedings of the European Wind Energy Conference EWEC ’99
, Nice, Italy.
6.
Alinot
,
C.
, and
Masson
,
C.
, 2002, “
Aerodynamic Simulations of Wind Turbines Operating in Atmospheric Boundary Layer With Various Thermal Stratifications
,”
ASME Wind Energy Symposium, 40th Collection of Technical Papers
, Reno, Paper No. AIAA-2002-42.
7.
Troldborg
,
N.
,
Sørensen
,
J. N.
, and
Mikkelsen
,
R.
, 2007, “
Actuator Line Simulation of Wake of Wind Turbine Operating in Turbulent Inflow
,”
J. Phys.: Conf. Ser.
1742-6588,
75
, pp.
012063
.
8.
Ivanell
,
S. S. A.
, 2009, “
Numerical Computations of Wind Turbine Wakes
,” Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden.
9.
Larsen
,
G. C.
,
Madsen
,
H. Aa.
,
Thomsen
,
K.
, and
Larsen
,
T. J.
, 2008, “
Wake Meandering—A Pragmatic Approach
,”
Wind Energy
1095-4244,
11
, pp.
377
395
.
10.
Vermeer
,
L. J.
,
Sørensen
,
J. N.
, and
Crespo
,
A.
, 2003, “
Wind Turbine Aerodynamics
,”
Prog. Aerosp. Sci.
0376-0421,
39
, pp.
467
510
.
11.
Ainslie
,
J. F.
, 1986, “
Wake Modelling and the Prediction of Turbulence Properties
,”
Proceedings of the Eighth British Wind energy Association Conference
, Cambridge, Mar. 19–21, pp.
115
120
.
12.
Ainslie
,
J. F.
, 1988, “
Calculating the Flow Field in the Wake of Wind Turbines
,”
J. Wind. Eng. Ind. Aerodyn.
0167-6105,
27
, pp.
213
224
.
13.
Madsen
,
H. A.
,
Larsen
,
G. C.
, and
Thomsen
,
K.
, 2005, “
Wake Flow Characteristics in Low Ambient Turbulence Conditions
,”
Proceedings of the Copenhagen Offshore Wind 2005
.
14.
Madsen
,
H. Aa.
,
Larsen
,
G. C.
,
Larsen
,
T. J.
,
Mikkelsen
,
R.
, and
Troldborg
,
N.
, 2008, “
Wake Deficit- and Turbulence Simulated With Two Models Compared With Inflow Measurements on a 2 MW Turbine in Wake Conditions
,”
Scientific Proceedings of the 2008 European Wind Energy Conference and Exhibition
, Brussels, Belgium, Mar. 31–Apr. 3, pp.
48
53
.
15.
Ainslie
,
J. F.
, 1985, “
Development of an Eddy Viscosity Model for Wind Turbine Wakes
,”
Proceedings of the BWEA Conference
, pp.
61
66
.
16.
Panofsky
,
H. A.
, and
Dutton
,
J. A.
, 1984,
Atmospheric Turbulence
,
Wiley
,
New York
.
17.
Mann
,
J.
, 1994, “
The Spatial Structure of Neutral Atmospheric Surface-Layer Turbulence
,”
J. Fluid Mech.
0022-1120,
273
, pp.
141
168
.
18.
Bingöl
,
F.
,
Mann
,
J.
, and
Larsen
,
G. C.
, 2010, “
Lidar Measurements of Wake Dynamics. Part I: One Dimensional Scanning
,”
Wind Energy
1095-4244,
13
,
51
61
.
19.
Trujillo
,
J. J.
,
Bingöl
,
F.
,
Larsen
,
G. C.
,
Mann
,
J.
, and
Kühn
,
M.
, 2009, “
Lidar Measurements of Wake Dynamics. Part II: Two Dimensional Scanning
,”
Wind Energy
1095-4244, in press.
20.
Fluent, Inc.
, 1998, FIDAP 8 Theory Manual, Fluent Inc., Lebanon, NH.
21.
Madsen
,
H. Aa.
, 1996, “
A CFD Analysis of the Actuator Disc Flow Compared With Momentum Theory Results
,”
Proceedings of the IEA Joint Action of Tenth Symposium on Aerodynamics of Wind Turbines
,
B. M.
Pedersen
, ed., pp.
109
124
.
22.
Madsen
,
H. Aa.
, 2000, “
Yaw Simulation Using a 3D Actuator Disc Model Coupled to the Aeroelastic Code HawC
,”
IEA Joint Action, Aerodynamics of Wind Turbines, 13th Symposium
,
B. M.
Pedersen
, ed., pp.
133
145
.
23.
Madsen
,
H. Aa
,
Sørensen
,
N. N.
, and
Schreck
,
S.
, 2003, “
Yaw Aerodynamics Analyzed With Three Codes in Comparison With Experiment
,”
41st Aerospace Sciences Meeting and Exhibit
, Reno, NV, Jan. 6–9, AIAA Paper No. 2003-519.
24.
Michelsen
,
J. A.
, 1994, “
Basis 3D—A Plat-Form for Development of Multiblock PDE Solvers
,” Department of Fluid Mechanics, Technical University of Denmark, DTU, Report No. AFM 92-05,.
25.
Michelsen
,
J. A.
, 1994, “
Block Structured Multigrid Solution of 2D and 3D Elliptic PDE’s
,” Department of Fluid Mechanics, Technical University of Denmark, DTU, Report No. AFM 94-06.
26.
Sørensen
,
N. N.
, 1995, “
General Purpose Flow Solver Applied to Flow over Hills
,” Ph.D. thesis, Risø National Laboratory, Technical University of Denmark, Roskilde, Denmark.
27.
Mikkelsen
,
R.
,
Sørensen
,
J. N.
, and
Troldborg
,
N.
, 2007, “
Prescribed Wind Shear Modelling Combined With the Actuator Line Technique
,”
Conference Proceedings of the EWEC 2007
, Milano, Italy.
28.
Larsen
,
G. C.
,
Madsen
,
H. Aa.
,
Larsen
,
T. J.
, and
Troldborg
,
N.
, 2008, “
Wake Modeling and Simulation
,” Risø National Laboratory, Technical University of Denmark, Report No. Risø-R-1653(EN).
29.
Pope
,
S. B.
, 2000, “
Turbulent Flows
,”
Cambridge University Press
,
Cambridge, UK
.
30.
Madsen
,
H. Aa.
, and
Fischer
,
A.
, 2009, “
Wind Shear and Turbulence Characteristics From Inflow Measurements on the Rotating Blade of a Wind Turbine Rotor
,”
Scientific Proceedings of the 2009 European Wind Energy Conference and Exhibition
, Marseille, France, Mar. 16–19, pp.
53
58
.
31.
Jiminez
,
A.
,
Crespo
,
A.
,
Migoya
,
E.
, and
Garcia
,
J.
, 2007, “
Advances in Large Eddy Simulation of a Wind Turbine Wake
,”
J. Phys.: Conf. Ser.
1742-6588,
75
, p.
012041
.
32.
Frandsen
,
S.
, and
Thögersen
,
M. L.
, 1999, “
Integrated Fatigue Loading for Wind Turbines in Wind Farms by Combining Ambient Turbulence and Wakes
,”
Wind Eng.
0309-524X,
23
(
6
), pp.
327
340
.
33.
Quarton
,
D. C.
, and
Ainslie
,
J. F.
, 1990, “
Turbulence in Wind Turbine Wakes
,”
Wind Eng.
0309-524X,
14
(
1
), pp.
15
23
.
34.
Crespo
,
A.
, and
Hernandez
,
J.
, 1996, “
Turbulence Characteristics in Wind-Turbine Wakes
,”
J. Wind. Eng. Ind. Aerodyn.
0167-6105,
61
, pp.
71
85
.
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