Optimal control of stacked multi-kite systems for utility-scale airborne wind energy

Within the prevailing single-kite paradigm, the current roadmap towards utility-scale airborne wind energy (AWE) involves building ever larger aircraft. Consequently, utility-scale AWE systems increasingly suffer from similar upscaling drawbacks as conventional wind turbines. In this paper, an alternative upscaling strategy based on stacked multi-kite systems is proposed. Although multi-kite systems are well-known in the literature, the consideration of stacked configurations extends the design space even further and could allow for significantly smaller aircraft, and therefore possibly to cheaper, mass-producible utility-scale AWE systems. To assess the potential of the stacking concept, optimal control is applied to optimize both system design and flight trajectories for a range of configurations, at two different industry-relevant wind sites. The results show that the modular stacking concept effectively decouples aircraft wing sizing considerations from the total power output demand. An efficiency increase of up to 20% is reported when the harvesting area for the same amount of aircraft is doubled using a stacked configuration. Moreover, it is shown that stacked configurations can more than halve the peak power overshoot within one power cycle with respect to conventional single-kite systems.

[1]  Michiel Kruijff,et al.  A Roadmap Towards Airborne Wind Energy in the Utility Sector , 2018 .

[2]  Moritz Diehl,et al.  CasADi: a software framework for nonlinear optimization and optimal control , 2018, Mathematical Programming Computation.

[3]  Johan Meyers,et al.  Airborne Wind Energy: Airfoil-Airmass Interaction , 2014 .

[4]  Mario Zanon,et al.  Numerical Optimal Control With Periodicity Constraints in the Presence of Invariants , 2018, IEEE Transactions on Automatic Control.

[5]  Mario Zanon,et al.  Airborne Wind Energy Based on Dual Airfoils , 2013, IEEE Transactions on Control Systems Technology.

[6]  Moritz Diehl,et al.  Aerodynamic Parameter Identification for an Airborne Wind Energy Pumping System , 2017 .

[7]  Moritz Diehl,et al.  Induction in Optimal Control of Multiple-Kite Airborne Wind Energy Systems , 2017 .

[8]  Cristina L. Archer,et al.  An Introduction to Meteorology for Airborne Wind Energy , 2013 .

[9]  Moritz Diehl,et al.  Operational Regions of a Multi-Kite AWE System , 2018, 2018 European Control Conference (ECC).

[10]  J. Baumgarte Stabilization of constraints and integrals of motion in dynamical systems , 1972 .

[11]  Moritz Diehl,et al.  Modeling of Airborne Wind Energy Systems in Natural Coordinates , 2013 .

[12]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[13]  Roderick Read,et al.  Kite Networks for Harvesting Wind Energy , 2017 .

[14]  M. L. Loyd Crosswind kite power , 1980 .