# Wind Turbine Power Generator Equation Formulas Design Calculator

## Windmill - Renewable Energy - Clean Electricity - Green Home - Solar Power

Solving for rotor swept area.
Scroll to the bottom to see typical input values for the variables.

#### Inputs:

 wind power (P) wattfoot-pound/secondhorsepowerjoule/secondkilojoule/secondkilowattnewton-meter/second
 air density (ρ) kilogram/meter^3gram/centimeter^3gram/meter^3gram/milliliterkilogram/deciliterkilogram/litermilligram/literounce/foot^3ounce/inch^3pound/foot^3pound/bushel UKpound/bushel USpound/gallon UKpound/gallon USpound/inch^3pound/yard^3ton metric/meter^3slug/foot^3slug/inch^3
 coefficient of performance (Cp)
 wind velocity (V) meter/secondcentimeter/hourcentimeter/secondfoot/dayfoot/hourfoot/minutefoot/secondinch/dayinch/hourinch/minuteinch/secondkilometer/daykilometer/hourkilometer/minutekilometer/secondknotmach sea level 15 Cmeter/daymeter/hourmeter/minutemile/daymile/hourmile/minutemile/secondmillimeter/secondspeed of light in vacuumyard/second
 generator efficiency (Ng)
 gear box bearing efficiency (Nb)

#### Conversions:

 wind power (P)= 0 = 0watt
 air density (ρ)= 0 = 0kilogram/meter^3
 coefficient of performance (Cp)= 0 = 0
 wind velocity (V)= 0 = 0meter/second
 generator efficiency (Ng)= 0 = 0
 gear box bearing efficiency (Nb)= 0 = 0

#### Solution:

 rotor swept area (A)= NOT CALCULATED

#### Other Units:

Change Equation
Select to solve for a different unknown
 Solve for wind power. Solve for air density. Solve for swept area of the rotor, propeller or blades. Solve for coefficient of performance. Solve for wind speed. Solve for generator or alternator efficiency. Solve for gear box bearing efficiency.
 Symbol Description Typical values ρ air density 1.2 kg/m3 (sea level) Cp performance coefficient 0.35 is typical 0.56 is the theoretical maximum known as the Betz limit. Ng generator efficiency 50 percent to 80 percent. Nb gearbox 95 percent

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By Jimmy Raymond

Contact: aj@ajdesigner.com