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.
Skip Nav Destination
ASME 2003 Wind Energy Symposium
January 6–9, 2003
Reno, Nevada, USA
Conference Sponsors:
- ASME
ISBN:
1-56347-594-4
PROCEEDINGS PAPER
Optimization of Wind Turbines Using Helicoidal Vortex Model
Jean-Jacques Chattot
Jean-Jacques Chattot
University of California at Davis, Davis, CA
Search for other works by this author on:
Jean-Jacques Chattot
University of California at Davis, Davis, CA
Paper No:
WIND2003-522, pp. 126-135; 10 pages
Published Online:
February 4, 2009
Citation
Chattot, J. "Optimization of Wind Turbines Using Helicoidal Vortex Model." Proceedings of the ASME 2003 Wind Energy Symposium. ASME 2003 Wind Energy Symposium. Reno, Nevada, USA. January 6–9, 2003. pp. 126-135. ASME. https://doi.org/10.1115/WIND2003-522
Download citation file:
6
Views
Related Proceedings Papers
Related Articles
Optimization of Wind Turbines Using Helicoidal Vortex Model
J. Sol. Energy Eng (November,2003)
Active Load Control for Airfoils using Microtabs
J. Sol. Energy Eng (November,2001)
Skewed Wake Induction Effects on Thrust Distribution on Small Wind Turbine Rotors
J. Sol. Energy Eng (November,2001)
Related Chapters
Coupling a Numerical Optimization Technique with a Panel Method or a Vortex Lattice Method to Design Cavitating Propellers in Non-Uniform Inflows
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Wind Turbine Airfoils and Rotor Wakes
Wind Turbine Technology: Fundamental Concepts in Wind Turbine Engineering, Second Edition
Confirmation and Error in Some Existing Wind Turbine Optimisation Models
International Conference on Software Technology and Engineering (ICSTE 2012)