# How Much Energy Will Wind Turbine Generate?

The formula for calculating the power from a wind turbine is:

- Power = Cp 1/2 ρ A V³

- P = Power output, watts
- Cp = Maximum power coefficient, ranging from 0.25 to 0.45, dimension less (theoretical maximum = 0.59)
- ρ = Air density, kg/m³
- A = Rotor swept area, m² or
- π D² / 4 (D is the rotor diameter in m, π = 3.1416)
- V = Wind speed, mps

Although the calculation of wind power illustrates important features about wind turbines, the best measure of wind turbine performance is annual energy output. The difference between power and energy is that power (kilowatts [kW]) is the rate at which electricity is consumed while energy (kilowatt-hours [kWh]) is the quantity consumed. An estimate of the annual energy output from your wind turbine, kWh/year, is the best way to determine whether a particular wind turbine and tower will produce enough electricity to meet your needs.

Contact a wind turbine manufacturer, a dealer/installer, or a site assessor to help you estimate the energy production you can expect. They will use a calculation based on the particular wind turbine power curve, the average annual wind speed at your site, the height of the tower that you plan to use, micro-siting characteristics of your site and, if available, the frequency distribution of the wind (an estimate of the number of hours that the wind will blow at each speed during an average year). They should also adjust this calculation for the elevation of your site.

To get a preliminary estimate of the performance of a particular wind turbine, use the formula below:

- AEO = 0.01328 D² V
- AEO = Annual energy output, kWh/year
- D = Rotor diameter, feet
- V = Annual average wind speed, mph

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