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Modeling and Control of Magnus Effect-Based AWE Systems

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Yashank Gupta PhD Researcher Grenoble INP

GIPSA-lab, Control System Department Domaine Universitaire 11 rue des Mathématiques BP 46

38402 Saint-Martin d’Hères France yashank.gupta@gipsa-lab.fr www.gipsa-lab.fr

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Modeling and Control of Magnus Effect-Based AWE Systems

Yashank Gupta1, Jonathan Dumon1, Ahmad Hably1,2

1GIPSA-Lab 2Grenoble INP

At GIPSA-lab, EOFLY is a multi-disciplinary research group working on the development of airborne wind energy systems, drones, and conventional wind turbines [1]. Our current research work is focused on the modeling and control of Magnus effect-based AWE systems. In our approach, a rotating cylinder designed as an aerostat is used to drive a ground-based generator. Our choice of Magnus based aerostat stems from various factors such as high lift coefficient, naturally robust and stable design, and lighter than air capabilities. A study about exper-imental data available on Magnus cylinders has been done in order validate the aerodynamic model [2].

0 50 100 150 200 250 300 X (m) 0 20 40 60 80 100 120 140 160 Z (m) -200 -150 -100 -50 0 50 100 Y (m)

Trajectory and swept area of Magnus based AWE system in xz plane (left) and yz plane (right) with crosswind manoeuvre in comparison to a 1.5MW conventional wind turbine.

Then, a point-mass dynamic model of the Magnus based AWE system is developed and validated in a simulation environment.

A bang-bang control strategy is applied to control the tra-jectory of an airborne module that performs crosswind maneuvers. Simulation results show that a 500 m2

Mag-nus based AWE produces a net output power around 1.5

MW for a wind speed of 10 m/s. In other terms, the prod-ction is 3 kW/m2. Finally, a simplified model of the whole

cycle is proposed and validated with dynamic simula-tions. This model is then used to generate a power curve, compared to that of a conventional wind turbine.

260 280 300 320 340 360 380 400 420 440 460 time [s] -2 -1 0 1 2 3 4 P o w er [W] 106 Pg production Pg recovery Pprod static Prec static x

Simulated output power during production and recovery phases with a comparison with a simplified model (Pstatic).

References:

[1]http://www.gipsa-lab.fr/projet/EOFLY/

[2] Y. Gupta, J. Dumon, and A. Hably, "Modeling and control of a Magnus effect-based airborne wind energy system in cross-wind maneuvers", IFAC world congress, Toulouse, France, 2017. https://hal.archives-ouvertes.fr/hal-01514058/

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