Results

397 W/m² at 50 m: NREL wind power class 3 (“Fair”). Usable with modern low-specific-power rotors on tall towers. Using the mean speed alone (½ρv̄³) would underestimate it by 48%.
Wind power density at 50 m
397W/m²
3,476 kWh/m² of rotor area per year
NREL wind power class
3 · Fair
397 W/m² equiv. at 50 m
Air density
1.212kg/m³
-1.1% vs sea-level standard
Energy pattern factor
1.91
mean(v³) ÷ mean(v)³
Naive ½ρv̄³ (wrong)
208W/m²
ignores the speed distribution
Weibull scale c
7.9m/s
Most frequent speed
5.59m/s
Speed carrying most energy
11.17m/s
size rated speed around 1.2–1.5× this
Energy from winds ≥ 12 m/s
46.4%
mostly clipped by turbines at rated power
Equivalent at 10 m
199W/m²
IEC turbine class at 100 m: II
Where the energy is: time vs energy by wind speed

NREL wind power classes (Elliott et al., 1986)

ClassRatingW/m² at 10 mm/s at 10 mW/m² at 50 mm/s at 50 m
1Poor0–1000–4.40–2000–5.6
2Marginal100–1504.4–5.1200–3005.6–6.4
3 ◀ youFair150–2005.1–5.6300–4006.4–7
4Good200–2505.6–6400–5007–7.5
5Excellent250–3006–6.4500–6007.5–8
6Outstanding300–4006.4–7600–8008–8.8
7Superb400+7+800+8.8+
  • NREL class speeds assume sea-level air density and a Rayleigh distribution (k = 2); the class is assigned here from power density, which also accounts for your k and air density.
  • Wind power density is the power in the wind, not what a turbine extracts. Real rotors capture at most 59.3% (Betz limit), in practice 40–50% at the best speeds.

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