Modeling and dynamics of a two-line kite

Autor: Manuel García-Villalba, Roland Schmehl, Gonzalo Sánchez-Arriaga
Přispěvatelé: European Commission, Ministerio de Economía y Competitividad (España)
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Applied Mathematical Modelling: simulation and computation for engineering and environmental systems, 47
Applied Mathematical Modelling
e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
instname
ISSN: 0307-904X
Popis: A mathematical model of a kite connected to the ground by two straight tethers of varying lengths is presented and used to study the traction force generated by kites flying in cross-wind conditions. The equations of motion are obtained by using a Lagrangian formulation, which yields a low-order system of ordinary differential equations free of constraint forces. Two parameters are chosen for the analysis. The first parameter is the wind velocity. The second parameter is one of the stability derivatives of the aerodynamic model: the roll response to the sideslip angle, known also as effective dihedral. This parameter affects significantly the lateral dynamics of the kite. It has been found that when the effective dihedral is below a certain threshold, the kite follows stable periodic trajectories, and naturally flies in cross-wind conditions while generating a high tension along both tethers. This result indicates that kite-based propulsion systems could operate without controlling tether lengths if kite design, including the dihedral and sweep angles, is done appropriately. If both tether lengths are varied out-of-phase and periodically, then kite dynamics can be very complex. The trajectories are chaotic and intermittent for values of the effective dihedral below a certain negative threshold. It is found that tether tensions can be very similar with and without tether length modulation if the parameters of the model are well-chosen. The use of the model for pure traction applications of kites is discussed This work was supported by the Ministerio de Economía y Competitividad of Spain and the European Regional Development Fund under the project ENE2015-69937-R (MINECO/FEDER, UE). GSA work is supported by the Ministerio de Economía y Competitividad of Spain under the Grant RYC-2014-15357. MGV was partially supported by grant TRA2013-41103-P (MINECO/FEDER, UE). RS was partially supported by the projects AWESCO (H2020-ITN-642682) and REACH (H2020-FTIPilot-691173).
Databáze: OpenAIRE
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