Articles | Volume 11, issue 5
https://doi.org/10.5194/wes-11-1751-2026
https://doi.org/10.5194/wes-11-1751-2026
Research article
 | 
19 May 2026
Research article |  | 19 May 2026

Optimal control of crosswind kite systems with an engineering wake model based on vortex loops and dipoles

Jochem De Schutter, Antonia Mühleck, Rachel Leuthold, and Moritz Diehl

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Cited articles

Akberali, A., Kheiri, M., and Bourgault, F.: Generalized aerodynamic models for crosswind kite power systems, J. Wind Eng. Ind. Aerod., 215, https://doi.org/10.1016/j.jweia.2021.104664, 2021. a
Andersson, J. A. E., Gillis, J., Horn, G., Rawlings, J. B., and Diehl, M.: CasADi – A software framework for nonlinear optimization and optimal control, Mathematical Programming Computation, 11, 1–36, https://doi.org/10.1007/s12532-018-0139-4, 2019. a
Branlard, E.: Wind Turbine Aerodynamics and Vorticity-Based Methods, Springer-Cham, https://doi.org/10.1007/978-3-319-55164-7, 2017. a
Crismer, J.-B., Haas, T., Duponcheel, M., and Winckelmans, G.: Large eddy simulation of airborne wind energy systems flying in turbulent wind using model predictive control, Wind Energ. Sci. Discuss. [preprint], https://doi.org/10.5194/wes-2025-288, in review, 2026. a
De Lellis, M., Reginatto, R., Saraiva, R., and Trofino, A.: The Betz limit applied to Airborne Wind Energy, Renewable Energy, 127, 32–40, https://doi.org/10.1016/j.renene.2018.04.034, 2018. a
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The performance of high-performance crosswind kite systems is strongly affected by the complex wake structures they generate. We develop an unsteady, vortex-based wake model that can be efficiently integrated into optimal control frameworks for flight trajectory optimization. The model is shown to provide good agreement with higher-fidelity simulations while incurring only moderate additional computational cost, enabling more reliable performance prediction.
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