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TECHNICAL PAPERS

Optimization of Wind Turbines Using Helicoidal Vortex Model

[+] Author and Article Information
Jean-Jacques Chattot

University of California at Davis, Department of Mechanical and Aeronautical Engineering, One Shields Ave., Davis, CA 95616-5294e-mail: jjchattot@ucdavis.edu

J. Sol. Energy Eng 125(4), 418-424 (Nov 26, 2003) (7 pages) doi:10.1115/1.1621675 History: Received January 10, 2003; Revised May 28, 2003; Online November 26, 2003
Copyright © 2003 by ASME
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References

Adkins,  C., and Liebeck,  R., 1994, “Design of Optimum Propellers,” J. Propul. Power, 10(5), pp. 676–682.
Wilson, R. and Lissaman, P., 1974, “Applied Aerodynamics of Wind Power Machines,” Oregon State University, NSF-RA-N-74-113, PB 238 595, Corvallis, OR.
Robison, D. J., Coton, F. N., Galbraith, R. A. McD., and Vezza, M., 1995, “The Development of a Prescribed Wake Model for Performance Prediction in Steady Yawed Flow,” Proceedings of ASME Wind Energy, Houston, TX, Jan 29–Feb 1.
Chattot, J.-J., 2002, “Design and Analysis of Wind Turbines Using Helicoidal Vortex Model,” Computational Fluid Dynamics Journal, 11 (1), pp. 50–54.
Prandtl, L. and Betz, A., 1927, “Vier Abhandlungen zur Hydrodynamik und Aerodynamik,” Gottingen Nachr., Gottingen, Selbstverlag des Kaiser Wilhelminstituts fur Stromungsforschung.
Chattot, J.-J., 2002, “Optimization of Propellers Using Helicoidal Vortex Model,” Computational Fluid Dynamics Journal, 10 (4), pp. 429–438.
Fingersh, L. J., Simms, D., Hand, M., Jager, D., Cotrell, J., Robinson, M., Schreck, S., Larwood, S., 2001, “Wind Tunnel Testing of NREL’s Unsteady Aerodynamics Experiment,” AIAA paper No. 2001-0035. NREL data base, http://wind2.nrel.gov/amestest/.
Drela, M., 1989, “XFOIL: An Analysis and Design System for Low Reynolds Number Airfoils,” Conference on Low Reynolds Number Airfoil Aerodynamics, University of Notre Dame, also in Low Reynolds Number Aerodynamics, T. J. Mueller (editor), Lecture Notes in Engineering No. 54, Springer Verlag, 1989.
Giguere, P., and Selig, M. S., 1999, “Design of a Tapered and Twisted Blade for the NREL Combined Experiment Rotor,” Subcontract XAF-4-1407-03, NREL/SR-500-26173.

Figures

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Partial view of the vortex sheet and mesh system behind a turbine blade
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Betz condition for CTi=0.0032 and CTi=0.205
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Circulation and induced velocities for optimum rotor CTi=0.205
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Chord distribution CTi=0.205
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Twist angle distribution CTi=0.205
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S809 polar-XFOIL Re=500,000
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Comparison of NREL and optimum design chord distributions
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Comparison of NREL and optimum design twist distributions
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Optimum rotors and analysis comparison with NREL rotor
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Sensitivity analysis of the design to thrust at TSR=4.6
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NREL blade working condition
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Comparison of linear chord distribution with optimum distribution
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Comparison of twist distributions
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Optimized linear blade working condition

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