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Wind turbine power output depends on wind speed, blade area, and efficiency. Power increases with the cube of wind speed.
Formule
Calculate: P = 0.5 × ρ × A × v³ × C_p
- P
- 0 — 0
- A
- swept area — swept area
Guide étape par étape
- 1Calculate: P = 0.5 × ρ × A × v³ × C_p
- 2ρ = air density (≈1.225 kg/m³), A = swept area, v = wind speed, C_p = efficiency (~0.35-0.45)
- 3Typical 2-5 MW turbine: 5-15 GWh/year depending on wind resource
Exemples résolus
Entrée
100 m rotor (7850 m² area), average wind 10 m/s, C_p=0.4
Résultat
Average power ≈ 1.9 MW
Typical utility turbine
Erreurs courantes à éviter
- ✕Using peak power output instead of average capacity factor
- ✕Neglecting wake effects between turbines
Questions fréquentes
Why is wind speed raised to the third power?
Power proportional to kinetic energy (½mv²) and flow rate; combined gives v³ dependence.
How much area does a wind turbine need?
Large utility turbines need 2-5 acres minimum spacing; smaller residential turbines 0.5 acres.
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