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The Mathematics of Wind Power

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To understand how important it is to mount a wind turbine on a tall tower, consider a simple mathematical equation. It’s called the power equation and is used to calculate the power available from the wind. This equation shows us that three factors influence the output of a wind energy system: (1) air density, (2) swept area, and (3) wind speed — all explained shortly.

The power equation is: P = ½ d x A x V3.

P stands for the power available in the wind (not the power a wind generator will extract — that’s influenced by efficiency and other factors). Density of the air is d. Swept area is A. Wind speed is V.

Wind Power Basics

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