The Pyramid

@tallakt ,

Your answer in our private discussion could be plausible. However, I am also considering a reverse hypothesis, taking into account some elements of your publication that have just come to my attention again, as well as elements from the chapter 22 of the second AWE book.

From chapter 22, page 571 and Fig.22.18:

The contour plot and the solid isolines show that the transferable moment decreases for increasing distance between the rotors and that it increases with increasing size of the ground rotor.

Also pages 570-571:

It is evident that the longer the tether system and the smaller the ground rotor the lower the transferable torque.

Now considering your publication, page 3:

r0 the radius of the cartwheel at the ground side
r1 the radius of rotation of the kites
l the length of the tether

pages 6-7:

To go from an value to the actual moment, multiply the Λ value by the looping radius of the kite and the shaft tension.

Page 11, values for I (tether length), then r0 (ground radius), then r1 (loop kite radius), then Λ :

A 200 m 10 m 50 m 0.052
B 100 m 10 m 50 m 0.116
C 200 m 20 m 50 m 0.103
D 200 m 10 m 100 m 0.057
E 400 m 10 m 50 m 0.025
F 100 m 20 m 50 m 0.237

As an example A and D have roughly the same Λ values, respectively 0.052 and 0.057. However in A,
r1 /r0 = 5, while in D, r1 / r0 = 10. And I didn’t find anything in the paper about the transferable torque relationship between r1 and r0. The smaller the radius of the cartwheel at the ground side compared to the radius of rotation of the kites, the lower transferable torque.

So my hypothesis is that Λ values should be multiplied by (r1 /r0). This would result in 0.26 for A (5x), 0.58 for B (5x), 0.2575 for C (2.5x), 0.57 for D (10x), 0.125 for E (5x), 0.5925 for F (2.5x).