What this calculator does
The Wind Turbine Power Output Calculator estimates the instantaneous power carried by the wind passing through a turbine rotor. It is power (energy per unit time), reported in watts (W), kilowatts (kW) and metric horsepower (PS) — not energy accumulated over a duration. The tool gives the theoretical available wind power; it deliberately does not apply any turbine efficiency or power coefficient, so the figure is an idealized upper bound.
How to use it
Enter three values: the rotor diameter R in meters (the full diameter of the circle swept by the blades), the air density d in kg/m³ (about 1.2 at sea level), and the wind speed v in m/s. All inputs are already in SI units, so no conversion is needed. Press calculate to see the available power in W, kW and PS.
The formula explained
The swept area is S = π R^{2}/4, using R as the diameter (radius r = R/2). The kinetic power flux of moving air is E = \tfrac{1}{2} · S · d · v^{3}. Note that power scales with the cube of wind speed and the square of rotor diameter — doubling the wind speed multiplies power by eight, and doubling the rotor diameter multiplies power by four.
Worked example
With R = 8 m, d = 1.2 kg/m³, v = 5 m/s: S = π × 8^{2} / 4 = 16π ≈ 50.265 \ m^2. Then
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建議針對極端值與多組預期情景分別試算，觀察輸出數據的波動區間，輔助做出更穩健的決策。
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