Articles | Volume 9, issue 7
https://doi.org/10.5194/wes-9-1547-2024
https://doi.org/10.5194/wes-9-1547-2024
Research article
 | 
23 Jul 2024
Research article |  | 23 Jul 2024

On the power and control of a misaligned rotor – beyond the cosine law

Simone Tamaro, Filippo Campagnolo, and Carlo L. Bottasso

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Cited articles

Abramowitz, M., Stegun, I. A., and Romer, R. H.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Am. J. Phys., 56, 958–958, https://doi.org/10.1119/1.15378, 1988. a
Bak, C., Zahle, F., Bitsche, R., Kim, T., Yde, A., Henriksen, L. C., Natarajan, A., and Hansen, M.: Description of the DTU 10 MW reference wind turbine, Tech. Rep. I-0092 5, DTU Wind Energy, https://backend.orbit.dtu.dk/ws/portalfiles/portal/55645274/The_DTU_10MW_Reference_Turbine_Christian_Bak.pdf (last access: 12 July 2024), 2013. a, b
Bartl, J., Mühle, F., Schottler, J., Sætran, L., Peinke, J., Adaramola, M., and Hölling, M.: Wind tunnel experiments on wind turbine wakes in yaw: effects of inflow turbulence and shear, Wind Energ. Sci., 3, 329–343, https://doi.org/10.5194/wes-3-329-2018, 2018. a
Bortolotti, P., Tarres, H. C., Dykes, K. L., Merz, K., Sethuraman, L., Verelst, D., and Zahle, F.: IEA Wind TCP Task 37: Systems Engineering in Wind Energy – WP2.1 Reference Wind Turbines, Tech. rep., NREL – National Renewable Energy Lab., https://doi.org/10.2172/1529216, 2019. a, b, c, d
Bottasso, C., Croce, A., Nam, Y., and Riboldi, C.: Power curve tracking in the presence of a tip speed constraint, Renew. Energy, 40, 1–12, https://doi.org/10.1016/j.renene.2011.07.045, 2012. a, b
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We develop a new simple model to predict power losses incurred by a wind turbine when it yaws out of the wind. The model reveals the effects of a number of rotor design parameters and how the turbine is governed when it yaws. The model exhibits an excellent agreement with large eddy simulations and wind tunnel measurements. We showcase the capabilities of the model by deriving the power-optimal yaw strategy for a single turbine and for a cluster of wake-interacting turbines.
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