Wind Energy
Wind Power Calculator
Power available in the wind and what a turbine can extract, from rotor size and wind speed.
P = ½ρAv³ × Cp × efficiency
Also called wind turbine power · wind energy calculator
Energy & Environment · 7 calculators
Wind Energy Calculators
Wind power from speed and rotor size, swept area, tip speed ratio, turbine efficiency, capacity factor and annual energy.
Wind Energy
Swept Area Calculator
Rotor swept area for a wind turbine, and the diameter needed for a target area.
A = πr² = π(d/2)²
Also called rotor area calculator · turbine swept area
Wind Energy
Tip Speed Ratio Calculator
Tip speed ratio of a wind turbine, and the rotor speed that gives the optimum value.
TSR = tip speed ÷ wind speed = 2πrN / 60v
Also called tsr calculator · turbine rpm calculator
Wind Energy
Turbine Efficiency Calculator
Overall efficiency of a wind turbine against the theoretical power in the wind and the Betz limit.
Cp = measured output ÷ (½ρAv³)
Also called power coefficient calculator · cp calculator
Wind Energy
Capacity Factor Calculator
Capacity factor of any generator — actual output against its theoretical maximum.
capacity factor = actual output ÷ (rated …
Also called plant capacity factor · load factor calculator
Wind Energy
Annual Energy Output Calculator
Annual energy from a generator using its rated power and capacity factor, with the value.
AEP = rated kW × 8760 × capacity factor ×…
Also called aep calculator · yearly generation
Wind Energy
Wind Turbine Payback Calculator
Payback period and lifetime return for a wind turbine installation.
payback = cost ÷ (generation × rate − mai…
Also called wind turbine roi · is a wind turbine worth it
Key wind energy formulas
| Wind Power | P = ½ρAv³ × Cp × efficiency |
|---|---|
| Swept Area | A = πr² = π(d/2)² |
| Tip Speed Ratio | TSR = tip speed ÷ wind speed = 2πrN / 60v |
| Turbine Efficiency | Cp = measured output ÷ (½ρAv³) |
| Capacity Factor | capacity factor = actual output ÷ (rated capacity × hours) |
| Annual Energy Output | AEP = rated kW × 8760 × capacity factor × availability |
| Wind Turbine Payback | payback = cost ÷ (generation × rate − maintenance) |
Wind Energy questions
Why does doubling the wind speed give eight times the power?
Power depends on velocity cubed — 2³ = 8. That is why a windy site beats a bigger turbine on a calm one.