Wind Resource Assessment Calculator
Assess wind energy potential using Weibull distribution parameters.
About this calculator
Raw average wind speed alone is a poor predictor of energy potential, because a site's day-to-day wind variability matters as much as its mean — this calculator uses the Weibull distribution, the standard statistical model in wind resource assessment for describing how often different wind speeds occur at a site. It first corrects your measured wind speed to hub height using the wind shear power law, v_hub = v_measured × (hub height / measurement height)^α, where α is the surface roughness exponent you supply (lower for open terrain, higher for suburban or forested sites with more turbulence near the ground). From the hub-height mean speed and your chosen Weibull shape parameter k (2.0 is a common default), it derives the Weibull scale parameter c using c = mean / Γ(1 + 1/k), where Γ is the gamma function — approximated here with Stirling's approximation rather than an exact gamma implementation, so results are very close but not bit-for-bit identical to a full statistical package.
Wind power density, the real measure of energy potential, is then computed as 0.5 × air density × c³ × Γ(1 + 3/k) in W/m², which properly weights the disproportionate energy contribution of gustier, higher-speed periods, since a doubling of instantaneous wind speed multiplies the power in that gust by roughly eight rather than by two. That power density is mapped to an IEC wind class (Class 1 highest at ≥800 W/m² down to Class 5 below 200 W/m²) and annualized to kWh/m²/yr. Remember this models a single representative site, not the real turbulence, wake effects, or seasonal variation a full met-tower dataset would reveal.
Inputs
Results
Wind Speed at Hub
8.7 m/s
Power Density
877 W/m²
How to Use This Calculator
- Enter the mean wind speed at your site from anemometer data or a wind atlas.
- Input the Weibull shape parameter (k) characterizing the wind speed distribution.
- Set the air density at your site elevation.
- Review the estimated annual energy density in W/m² and the wind power class.
- Sites with annual mean wind speeds above 6 m/s at 80 m hub height are generally viable for utility-scale wind.
How the result changes with Mean Wind Speed
| Mean Wind Speed | Wind Speed at Hub | Power Density |
|---|---|---|
| 3.25 | 4.35 m/s | 110 W/m² |
| 4.88 | 6.53 m/s | 371 W/m² |
| 9.75 | 13.04 m/s | 2,961 W/m² |
| 16 | 21.41 m/s | 13,085 W/m² |
What each input means
- Mean Wind Speed
- Average wind speed at measurement height.
- Weibull Shape (k)
- Weibull shape parameter. 2.0 is typical for most sites.
- Air Density
- Air density at your elevation.
- Hub Height
- Turbine hub height above ground.
- Measurement Height
- Height at which wind speed was measured.
- Wind Shear Exponent
- Surface roughness exponent. 0.14 for open terrain, 0.25 for suburbs.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersMean Wind Speed = 6.5, Weibull Shape (k) = 2, Air Density = 1.225, Hub Height = 80 = 6 input(s) provided
- Calculate Wind Speed at HubWind Speed at Hub8.7 = 8.7
- Calculate Power DensityPower Density877 = 877
- Calculate Wind Class1 = 1
- Calculate Weibull ScaleWeibull Scale10.37 = 10.37
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the calculator need a Weibull shape parameter (k) instead of just the average wind speed?
Average wind speed alone can't distinguish a site with steady, moderate winds from one with long calm spells punctuated by strong gusts — two sites can share the same mean but have very different energy potential. The shape parameter k describes how spread out wind speeds are around that mean, letting the calculator derive a full Weibull distribution and compute power density correctly, since power depends on the cube of wind speed, not the average speed cubed.
How is my measured wind speed adjusted to hub height?
The calculator applies the wind shear power law, multiplying your measured speed by (hub height / measurement height) raised to the surface roughness exponent you enter. A lower exponent (around 0.14) reflects open terrain with less friction near the ground, while a higher exponent (around 0.25) reflects suburban or forested sites where obstacles slow wind more near the surface, so the same measured speed extrapolates to a lower hub-height speed at a rougher site.
What is the Weibull scale parameter (c), and how is it different from the mean wind speed?
Scale parameter c is derived from your hub-height mean speed divided by the gamma function evaluated at (1 + 1/k), and it characterizes the Weibull distribution's spread rather than being the mean itself — for the common default of k=2, c ends up somewhat higher than the mean. The calculator approximates the gamma function with Stirling's approximation, so results are very close to a full statistical package but not bit-for-bit identical.
How is the IEC wind class determined, and what does it mean for my site?
Wind class is looked up directly from the calculated wind power density: Class 1 is the best resource at 800 W/m² or higher, stepping down through Classes 2-4, with Class 5 covering anything below 200 W/m². These bands follow the IEC convention used in commercial wind resource assessment, and generally, Class 3 or higher is considered viable for utility-scale development while lower classes favor smaller turbines or non-viable sites.
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