antarctic wind power is actually feasible because there lots of ice particles in the high velocity wind
that ice makes the air much denser and thus much higher in kinetic energy
lets suppose that the air has 24 kilograms of ice per cubic meter and thus weighs 25 kilograms per cubic meter
lets also suppose that you chose a good spot where there's 36 km/h winds frequently
finally suppose you can half the velocity of air passing though your turbine
Pm = p*A*1/2*(vi^3-vo^3)
where Pm is mechanical power, vi is the wind velocity, vo is the output velocity (we suppose 1/2 here), p is the density of the air, A is the area,
the units are meters kilograms and watts
Pm = 25*A*1/2*(10^3-5^3) = 10,937.5 watts per square meter of turbine
assuming a good electrolysis plant producing NaOH and HCl that should produce ~$1 per square meter of turbine per hour
100 turbines by 20 square meters per turbine is $2,000 per hour of wind
furthermore if a massive storm hits bringing wind speeds of 300 km/h and more ice thus 75 kg per cubic meter
Pm= 18,988,715.3 watts per square meter
$3,472,222 per hour assuming your equipment can handle it (it probably can't though considering that's just short of 380 MW per turbine which is
equivalent to burning 19 kg of coal per second at 50% efficiency) |