The power generated by a wind turbine is given by:
$$\mathrm{Power} = \frac{1}{2}C\rho AV^3$$
Where:
- $\rho = \text{Air density}$
- $C = \text{Coefficient of performance}$
- $A = \text{Frontal area}$
- $V = \text{Velocity of the wind}$
In other words, the power is proportional to the square of the length of the blades and the cube of the velocity of the wind. As we know, the velocities of winds are high at high altitudes. So instead of building many smaller wind turbines, why can't we just build a giant wind turbine that is, say, 1000 m tall? That may be an engineering challenge at first, but won't that be more economical in the end? After all, the Burj Khalifa in Dubai has been 828 m tall.
Why can't we build three instead of one pillars to support such a structure? Why can't we build one at the sea?