Capacity Factor
Ratio of actual output to theoretical maximum.
Formula
Live Calculator
MembersVariables
Example
E=2.6 GWh, P=1 MW, t=8760 h: CF ≈ 0.30
How it works
Capacity factor compares how much energy a power system actually delivered over a period with how much it would have delivered if it had run at full rated power every hour of that period. The denominator, P_rated × t, is the maximum possible energy over that time in ideal conditions, so taking the ratio tells you how fully the asset was utilized. This is especially useful for sources like wind and solar, whose output varies with weather and daylight, so their average production is usually well below nameplate capacity.
When to use it
Use this when evaluating the performance of renewable generators such as wind turbines, solar farms, hydro plants, or biomass units over a day, month, or year. It is also useful for comparing different sites or technologies on a common basis, even if their rated powers are different.
Worked example, step by step
A 5 MW wind turbine produces 13,140 MWh in one year. Convert rated power to the same energy units: P_rated × t = 5 MW × 8760 h = 43,800 MWh Apply the formula: CF = E_actual / (P_rated × t) = 13,140 MWh / 43,800 MWh CF = 0.30 So the capacity factor is 0.30, or 30%.
Common mistakes to avoid
- Using kW for power and MWh for energy without converting units first
- Dividing by the rated power alone instead of rated power multiplied by time
- Confusing capacity factor with efficiency; capacity factor measures utilization over time, not energy conversion losses
Did You Know?
Offshore wind reaches capacity factors above 50%, while rooftop solar typically sits around 15–20%.
Share this formula
More in Renewable Energy
View allSolar PV Energy Yield
IntermediateAnnual energy from a solar array's area, efficiency and sunlight.
Wind Turbine Power
AdvancedPower a wind turbine extracts, rising with the cube of wind speed.
Betz Limit
AdvancedMaximum fraction of wind energy any turbine can capture.
Levelised Cost of Energy
AdvancedLifetime cost per unit of energy produced.
Battery Energy Capacity
BasicEnergy stored from voltage and charge capacity.
Battery Runtime
IntermediateHow long a battery powers a load given depth of discharge.