Concurrent aerodynamic design of the wing and the turbines of airborne wind energy systems
Abstract. The aerodynamic design of the aircraft of fly-gen Airborne Wind Energy Systems, named windplane here, is one of the main aspects determining their power production, but it is still a largely unexplored problem. To this end, an engineering model for the aerodynamics of the onboard turbines, the aerodynamics of the wing and their interactional aerodynamics is developed and coupled to a steady-state windplane model and a far-wake model. This comprehensive model is then used to design the windplane aerodynamics for a given wingspan. Initially, a design space exploration study reveals that placing the turbines at the wing tips and rotating them inboard down increases the power production compared to other locations and rotation direction. This is because the turbines' wake swirl reduces the wing induced drag, especially when they are placed at the wing tips. Moreover, conventional efficient airfoils are found to be optimal for windplanes. Later, NACA4421 airfoils are used for the design of the wing and the turbines, placed at the wing tips. The optimal trapezoidal wing, modeled with constant twist, has an aspect ratio of 5.1, a taper ratio of 0.60 and the onboard turbines operate at a design low tip speed ratio of 1.9 to increase the wake swirl. The results from the vortex models of the wing, the turbines, and their interaction is extensively compared with the lifting line, the vortex lattice method and the vortex particle method implemented in the well-established code DUST, finding very good agreement. Finally, the windplane is studied with DUST at different wing angles of attack and at different turbine tip speed ratios to characterize its behavior away from the design point.
GENERAL COMMENTS
I find this to be an overall well-done paper filling a gap in the current literature. While analogous studies have been performed for propulsive cases, this paper provides somewhat detailed findings for wind turbine-wing interactions currently missing from the literature. The methods and models are generally clear and the results appear to be reasonable. I also appreciate the recommendations throughout this work concerning potential future work stemming from the studies presented herein.
SPECIFIC COMMENTS/QUESTIONS
Overview:
Abstract:
Introduction
Windplane steady-state model
Onboard turbines model
Windplane aerodynamic design problem
Optimal aerodynamic design
Isolated turbine
Analysis out of the design point
Appendix A
SUGGESTED TECHNICAL CORRECTIONS
Overview:
Abstract:
Introduction
Windplane steady-state model
Onboard turbines model
Wing model
Windplane aerodynamic design problem
Optimal aerodynamic design
Isolated turbine
Isolated wing
Interactional aerodynamics
Analysis out of the design point
Conclusions
Nomenclature