CircuitMix Tools › Wind Turbine Power Calculator
Wind Turbine Power Calculator
Calculate wind turbine power output, swept area, Betz limit, rotor efficiency and annual energy estimate from wind speed and blade diameter.
🌬️ Field Rule: Wind power changes with the cube of wind speed. Doubling wind speed can increase available wind power by about 8×. Use this with the future Wind Turbine Energy Calculator, Wind Speed Height Calculator, Hybrid Solar Wind Calculator, and solar tools like Solar Panel Output Calculator and Solar Battery Backup Calculator.
🌬️ Wind Speed + Rotor Diameter → Turbine Power
ROTOR SWEPT AREA EST. OUTPUT — kW — m² swept area Enter rotor size and wind speed to estimate turbine power.
Rotor Diameter
Wind Speed
Air Density
Power Coefficient Cp
Generator / Electrical Efficiency
Turbine Type
Rated Power Limit Optional
Result Mode
Cp is rotor efficiency. The Betz limit is about 0.593, but real small turbines are usually much lower.
Presets:small turbinehome turbineDIY turbine
Rotor Diameter
Wind Speed
Target Electrical Power
Cp
Generator Efficiency
Swept area grows with diameter squared. A larger rotor is usually more useful than a small rotor in the same wind.
Average Electrical Power
Operating Hours per Day
Availability / Downtime Factor
Battery / Inverter Loss
Electricity Value Optional
Currency Symbol
For a more realistic page later, use a wind turbine energy calculator with average wind speed, capacity factor and turbine power curve.

📐 Formula Reference

Swept Area
A = π × radius²
Available Wind Power
P wind = 0.5 × ρ × A × V³
Turbine Output
P output = P wind × Cp × generator efficiency
Betz Limit
Maximum theoretical Cp ≈ 0.593

📋 Quick Reference

Typical Cp Range
Good HAWT0.30–0.45
Small DIY0.15–0.30
Betz limit0.593
Wind Speed Effect
5 m/slow
8 m/sgood
12 m/shigh
Practical Checks
Tower heightcritical
Turbulenceavoid
Power curveneeded

📚 Engineering Notes

Wind speed dominates outputBecause power uses wind speed cubed, poor wind locations can give very low output even with a large rotor.
Rotor diameter matters a lotSwept area increases with diameter squared. A 4m rotor has about 4× the swept area of a 2m rotor.
Use tower height carefullyUse the future Wind Speed Height Calculator because wind speed near roofs or trees can be much lower and turbulent.
Hybrid systems need storageUse the future Hybrid Solar Wind Calculator and the Solar Battery Backup Calculator for storage planning.

What is a Wind Turbine Power Calculator?

A wind turbine power calculator estimates how much power is available in moving air and how much electrical power a wind turbine may produce. It uses rotor diameter, wind speed, air density, power coefficient and generator efficiency.

Why wind speed is so important

Wind power is proportional to the cube of wind speed. This means a small change in wind speed can make a large difference in turbine output. A turbine site with clean, strong wind is much more important than only choosing a larger generator.

Wind and solar hybrid workflow

Use this calculator for instant wind power, the future Wind Turbine Energy Calculator for kWh estimates, and the future Hybrid Solar Wind Calculator to combine wind with solar. For battery storage, use the Solar Battery Backup Calculator.

Important limitation

This calculator gives a theoretical estimate. Real wind turbine output depends on turbine power curve, cut-in speed, rated speed, cut-out speed, turbulence, tower height, controller, generator losses and local wind distribution.

❓ Frequently Asked Questions

Cp is the power coefficient, meaning how much of the available wind power the rotor captures. Real turbines are always below the Betz limit.
Wind power rises with wind speed cubed. Doubling wind speed gives roughly eight times the available wind power.
No. This page estimates power at a selected wind speed. Annual energy needs wind speed distribution, capacity factor or turbine power curve.
🔗 Related Tools
🌬️Wind Energy 📏Wind Speed Height 🔋Hybrid Solar Wind 🔋Solar Battery Backup ⚡Solar Inverter Size 📈Solar Panel Output