https://www.researchgate.net/publication/333600036_Magnus_Based_Airborne_Wind_Energy_Systems/comments is a question I asked about the power consumption.
The equation (3) of Experiments on a Flettner rotor at critical and supercritical Reynolds numbers assumes that the tangential speed of the Magnus rotor is cubed, while the equation (5/18) on https://www.researchgate.net/publication/332799296_Airborne_wind_energy_system_Control_and_experimentation and the equation (12.21) page 293, chapter 12 of
Airborne Wind Energy - Advances in Technology Development and Research consider that only the wind speed is cubed, the spin ratio X being not cubed. This would lead to huge differences.
As an example wind speed = 10 m/s, and spin ratio X = 4, all other parameters being equal.
By the equation (5.18) the power consumption is …4000…
By the equation (3) the power consumption is …64000…
@tallakt and me used the equation (3) in this topic. I think equation (3) leads to results that are closer to the experienced reality (Omnidea on https://collegerama.tudelft.nl/Mediasite/Play/e51a679525fe491990de3a55a912f79d1d as an example, and also some historical literature).