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Optimization of Wind Turbines Using Helicoidal Vortex Model

[+] Author Affiliations
Jean-Jacques Chattot

University of California at Davis, Davis, CA

Paper No. WIND2003-522, pp. 126-135; 10 pages
doi:10.1115/WIND2003-522
From:
  • ASME 2003 Wind Energy Symposium
  • ASME 2003 Wind Energy Symposium
  • Reno, Nevada, USA, January 6–9, 2003
  • Conference Sponsors: ASME
  • ISBN: 1-56347-594-4
  • Copyright © 2003 by The American Institute of Aeronautics and Astronautics Inc. and the American Society of Mechanical Engineers

abstract

The problem of the design of a wind turbine for maximum output is addressed from an aerodynamical point of view. It is shown that the optimum inviscid design, based on the Goldstein model, satifies the minimum energy condition of Betz only for light loading. The more general equation governing the optimum is derived and an integral relation is obtained, stating that the optimum solution satisfies the minimum energy condition of Betz in the Trefftz plane “in the average”. The discretization of the problem is detailed, including the viscous correction based on the 2-D viscous profile data. A constraint is added to account for the force on the tower. The minimization problem is solved very efficiently by relaxation. Several optimized solutions are calculated and compared with the NREL rotor, using the same profile, but different chord and twist distributions. In all cases, the optimization produces a more efficient design.

Copyright © 2003 by The American Institute of Aeronautics and Astronautics Inc. and the American Society of Mechanical Engineers

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