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International Journal of Rotating Machinery
Volume 4, Issue 3, Pages 141-149
http://dx.doi.org/10.1155/S1023621X98000128

Wind Turbine Aerodynamic Performance by Lifting Line Method

Institute of Applied Mathematics, Romanian Academy, Calea 13 Septembrie 13, P.O. Box 1-24, Bucharest R0-70700, Romania

Received 15 November 1996; Revised 13 February 1997

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The vortex model of propellers is modified and applied to the high-speed horizontal axis turbines. The turbine blades are replaced by lifting lines and trailing vortices which shed along the blade span. The model is not a free wake model, but it is still a nonlinear one which should be solved iteratively. In addition to the regular case where the trailing vortices are constrained to distribute along a helical surface, another version, where each trailing vortex sheding from the blade grows as a free helical vortex line, is also included. Performance parameters are calculated by application of the Biot-Savart law along with the Kutta-Joukowski theorem. Predictions are, shown to compare favorably with existing numerical data from more involved free wake methods, but require less computational effort. Thereby, the present method may be a very useful tool for calculating the aerodynamic loads on horizontal-axis wind turbine blades.