Gorgo said..
Your basic assumptions are wrong. It's not a linear relationship.
Simplistically, power varies as the square of wind speed so halve the wind and you need 4 times the size of kite.
Except, a bigger kite is heavier and slower and more expensive. All that introduces a myriad of complexities.
Gorgo, I was going to say that but I thought I would look it up on the internet and quote someone about the power increasing with the square of the velocity.
Instead, I found this:
The formula for calculating the power from a wind turbine is:
Where:
P = Power output, kilowatts
Cp = Maximum power coefficient, ranging from 0.25 to 0.45, dimension less (theoretical maximum = 0.59)
ρ = Air density, lb/ft3
A = Rotor swept area, ft2 or π D2/4 (D is the rotor diameter in ft, π = 3.1416)
V = Wind speed, mph
k = 0.000133 A constant to yield power in kilowatts. (Multiplying the above kilowatt answer by 1.340 converts it to horse- power [i.e., 1 kW = 1.340 horsepower]).If you ignore the constants, note that the velocity is cubed not squared.