Results

k = 2, c = 7.33 m/s, mean 6.5 m/s. Typical mid-latitude wind variability (close to Rayleigh, k = 2). A turbine with 3 m/s cut-in would spin about 85% of the year.
Shape k / scale c
2 / 7.33 m/s
mean 6.5 m/s
Mean speed
6.5m/s
σ 3.4 m/s
Median speed
6.11m/s
Most probable speed
5.19m/s
Speed carrying max energy
10.37m/s
Energy pattern factor
1.91
mean(v³)/mean(v)³
Operating hours
7,410h/yr
3–25 m/s · 85% of time
Hours at rated power
750h/yr
≥ 11.5 m/s
Calm hours (below cut-in)
1,350h/yr
Storm hours (above cut-out)
0.1h/yr
Probability density & cumulative distribution
Hours per year in each speed bin

Hours per speed bin

Bin (m/s)ProbabilityHours/yrDays/yrCumulative% of energy
0–11.84%1616.71.8%0%
1–25.32%46619.47.2%0%
2–38.24%72230.115.4%0.3%
3–410.32%90437.725.7%0.9%
4–511.44%1,00241.837.2%2%
5–611.62%1,01842.448.8%3.7%
6–710.99%96340.159.8%5.8%
7–89.79%85735.769.6%7.9%
8–98.25%72230.177.8%9.6%
9–106.6%57824.184.4%10.8%
10–115.04%44118.489.5%11.1%
11–123.67%32113.493.1%10.6%
12–132.56%2249.395.7%9.5%
13–141.71%1496.297.4%8%
14–151.09%95498.5%6.3%
15–160.67%592.499.1%4.7%
16–170.39%341.499.5%3.3%
17–180.22%190.899.8%2.3%
18–190.12%110.499.9%1.4%
19–200.06%60.299.9%0.9%
20–210.03%30.1100%0.5%
21–220.02%10.1100%0.3%
22–230.01%10100%0.2%
  • Weibull fits most sites well, but not all: bimodal climates (sea breeze + synoptic winds) and very calm sites can deviate, so compare with a histogram of measured data.
  • k and c depend on height: k usually rises slightly up to ~100 m, then falls; c scales roughly with the mean speed.

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