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Wind Turbine Power Generator Equation Formulas Design Calculator

Windmill - Renewable Energy - Clean Electricity - Green Home - Solar Power
Solving for wind speed.
wind power equation arranged to solve for wind speed
Scroll to the bottom to see typical input values for the variables.

Inputs:

wind power (P)
air density (ρ)
rotor swept area (A)
coefficient of performance (Cp)
unitless
generator efficiency (Ng)
unitless
gear box bearing efficiency (Nb)
unitless

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Conversions:

wind power (P)
= 0
= 0
watt
air density (ρ)
= 0
= 0
kilogram/meter^3
rotor swept area (A)
= 0
= 0
meter^2
coefficient of performance (Cp)
= 0
= 0
generator efficiency (Ng)
= 0
= 0
gear box bearing efficiency (Nb)
= 0
= 0

Solution:

wind velocity (V) = NOT CALCULATED

Other Units:

Change Equation
Select to solve for a different unknown
wind power equationSolve for wind power.
wind power equation arranged to solve for air densitySolve for air density.
wind power equation arranged to solve for rotor swept areaSolve for swept area of the rotor, propeller or blades.
wind power equation arranged to solve for coefficient of performanceSolve for coefficient of performance.
wind power equation arranged to solve for wind speedSolve for wind speed.
wind power equation arranged to solve for generator efficiencySolve for generator or alternator efficiency.
wind power equation arranged to solve for gear box or bearing efficiencySolve for gear box bearing efficiency.
SymbolDescriptionTypical values
ρair density1.2 kg/m3 (sea level)
Cpperformance coefficient0.35 is typical
0.56 is the theoretical maximum known as the Betz limit.
Nggenerator efficiency50 percent to 80 percent.
Nbgearbox95 percent
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