Articles | Volume 6, issue 3
https://doi.org/10.5194/wes-6-917-2021
https://doi.org/10.5194/wes-6-917-2021
Research article
 | 
10 Jun 2021
Research article |  | 10 Jun 2021

A method for preliminary rotor design – Part 2: Wind turbine Optimization with Radial Independence

Kenneth Loenbaek, Christian Bak, and Michael McWilliam

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Cited articles

Bak, C.: Aerodynamic design of wind turbine rotors, in: vol. 1, Woodhead Publishing Limited, Rosklilde, Denmark, https://doi.org/10.1533/9780857097286.1.59, 2013. a
Bak, C., Zahle, F., Bitsche, R., Yde, A., Henriksen, L. C., Nata, A., and Hansen, M. H.: Description of the DTU 10 MW Reference Wind Turbine, DTU Wind Energy Report-I-0092, DTU, Rosklilde, Denmark, 1–138, https://doi.org/10.1017/CBO9781107415324.004, 2013. a
Bottasso, C. L., Campagnolo, F., and Croce, A.: Multi-disciplinary constrained optimization of wind turbines, Multibody Syst. Dynam., 27, 21–53, https://doi.org/10.1007/s11044-011-9271-x, 2012. a
Buck, J. A. and Garvey, S. D.: Analysis of Force-Capping for Large Wind Turbine Rotors, Wind Eng., 39, 213–228, https://doi.org/10.1260/0309-524X.39.2.213, 2015a.  a
Buck, J. A. and Garvey, S. D.: Redefining the design objectives of large offshore wind turbine rotors, Wind Energy, 18, 835–850, https://doi.org/10.1002/we.1733, 2015b. a
Short summary
A novel wind turbine rotor optimization methodology is presented. Using an assumption of radial independence it is possible to obtain the Pareto-optimal relationship between power and loads through the use of KKT multipliers, leaving an optimization problem that can be solved at each radial station independently. Combining it with a simple cost function it is possible to analytically solve for the optimal power per cost with given inputs for the aerodynamics and the cost function.
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