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Wind Turbine Annual Energy Production (AEP)

Weibull AEP · Capacity Factor · Power Curve

When to use: Estimating the yearly energy yield of a wind turbine at a given site. The site wind resource is modeled with a Weibull distribution (mean speed + shape factor k), and the turbine response with a power curve (cut-in, rated, cut-out). AEP is the integral of P(v)·f(v) across all wind speeds × 8760 h, reduced by wake and system losses. The capacity factor compares average output to rated power.

Turbine & Site Parameters
kW
m/s
m/s
m/s
m/s
≈ 2.0
incl. wake
%
Calculation Steps
c = 6.0 / (0.568 + 0.434/2.00)^(1/2.00) = 6.77 m/s
Integrate P(v)·f(v) over v = 0…25 m/s (dv = 0.1) → avg 2.05 kW
Net avg = 2.05 × (1 − 10%) = 1.84 kW
Capacity factor = 1.84 ÷ 10 = 18.4%
Net Annual Energy Production
16.1 MWh/yr
16,131 kWh/yr (after losses)
Results
Weibull Scale c6.77 m/s
Mean Wind Speed6.0 m/s
Avg Power Output1.84 kW
Capacity Factor18.4 %
Gross AEP17,924 kWh/yr
Net AEP16,131 kWh/yr
References
AEP = ∫ P(v)·f(v) dv × 8760
Weibull distribution of wind speed
Capacity factor = avg ÷ rated power
IEC 61400-12 power performance