Wind Energy equation

Posted by hasnan | 6:23 AM | , | 3 comments »

The purpose of a wind turbine is to extract kinetic energy from the wind and convert this firstly to mechanical energy and then usually to electrical energy.
he Wind Turbine Power Equation is one of the most important equations a beginning wind enthusiast should memorize.

HWP = 0.5 x 1.23 x SA x WV3 x 0.25

(HWP) Harvestable Wind Power (w/hr) = 0.5 x AD (air density kg/cu m) x SA (sweep area m^2) x WV^3 (wind velocity m/s) x cP (coefficient of performance Betz limit 59.26%, R^1 or Copper loss, linear power curve to cubic curve matching — 0.25 for most systems)

Conversions:

1 square foot = 0.09290304 square meters
1 mile per hour = 0.44704 meters per second
1 kilometer per hour = 0.277777778 meters per second

Equation for a HAWT with 17′ diameter blades in 10mph wind.

17′ Diameter Blades (21.07m2 ), 10mph average wind (4.47m/s)

HWP = 0.5 x 1.23 x 21.07 x 89.31 x 0.25

WPH = 289Wh

Detail in Related post
- Calculation of Wind Energy and Wind Power

- Estimating and calculating air density

- Determining Wind Power Density

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