Accurate prediction of both the center of thrust location and the magnitude of the thrust on a rotor disk are critical to satisfactory modeling of the yawing of small wind turbines to large angles to passively control overshoots in power and loads at higher wind speeds. Of the two, the prediction of the center of thrust location upwind of the center of a yawed rotor disk appears to be the most uncertain and potentially in serious error. This error is due to uncertainties in skewed wake effects on the thrust distribution on the disk. Three skewed wake models are examined to better understand the potential sources of error. First is the dynamic inflow model originally developed for helicopters, and second is a modification of this model developed for wind turbines. Third is an earlier cylindrical vortex wake model which pioneered the study of skewed wake effects for helicopters, and which can be generalized for wind turbine applications. It is concluded that this generalized model and the original dynamic inflow model are the most promising for small wind turbine applications, and their predictions of center of thrust and blade root moments are compared for an idealized rotor. The focus is on static equilibrium loads, and note is taken of the potential importance of accounting for expanding wake effects. The basic results of the study are applicable to large as well as small wind turbine rotors.

1.
Eggers, A. J., Jr., Chaney, K., Holley, W. E., and Ashley, H., 2000, “Modeling of Yawing and Furling Behavior of Small Wind Turbines,” A Collection of the 2000 ASME Wind Energy Symp. Technical Papers Presented at the 38th AIAA Aerospace Sciences Meeting and Exhibit; Reno, NV.
2.
Fingersh, L., Simms, D., Hand, M., Jager, D., Cotrell, J., Robinson, M., Schreck, S., and Larwood, S., 2001, “Wind Tunnel Testing of NREL’s Unsteady Aerodynamics Experiment,” A Collection of the 2001 ASME Wind Energy Symp. Technical Papers Presented at the 39th AIAA Aerospace Sciences Meeting and Exhibit; Reno, NV.
3.
Pitt, D. M., and Peters, D. A., 1980, “Theoretical Predictions of Dynamic-Inflow Derivatives;” Sixth European Rotorcraft and Powered Lift Aircraft Forum, Bristol, England.
4.
Hansen, A. C., 1992, “Yaw Dynamics of Horizontal Axis Wind Turbines, Final Report,” NREL/TP-442-4822.
5.
Hansen, A. C., 1998, “Users Guide to the Wind Turbine Dynamics Computer Programs YawDyn and AeroDyn for ADAMS,” Mech. Eng. Dept., Univ. of Utah.
6.
Coleman, R. P., Heingold, A. M., and Stempin, C. W., 1945, “Evaluation of the Induced-Velocity Field of an Idealized Helicopter Rotor;” NACA ARR No. L5E10.
7.
Durand, W. F., (ed.), 1935, Aerodynamic Theory; Vol. IV, Julius Springer, pp. 180–181.
8.
Joglekar, M., and Loewy, R., 1970, “An Actuator-Disc Analysis of Helicopter Wake Geometry and the Corresponding Blade Response,” USAAVLABS Tech. Report 69–66.
9.
Eggers, A. J., Jr., 1989, “A Study of Rotational Effects on the Partially Stalled Flow About CER Blade Sections,” submitted to SERI.
10.
Schepers, J. G., 1999, “An Engineering Model for Yawed Conditions, Developed on Basis of Wind Tunnel Measurements,” AIAA-99-0039.
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