Wind Turbine Calculator
Calculate wind turbine power output, efficiency, torque, RPM, and revenue for horizontal or vertical axis turbines.
What Is a Wind Turbine Calculator?
Wind turbines convert kinetic energy from moving air into electricity. This calculator estimates power output, real efficiency, revenue, RPM, and torque for horizontal-axis (HAWT) or vertical-axis (VAWT) turbines. Enter blade dimensions, wind speed, loss factors, and electricity tariff to see results instantly.
Power Calculation
First, the swept area depends on turbine type:
- HAWT: $A = \pi \times L^2$ where L is blade length (radius)
- VAWT: $A = D \times H$ where D is diameter and H is height
Available wind power is:
$$P_{\text{wind}} = 0.5 \times \rho \times v^3 \times A$$
With air density ρ = 1.225 kg/m³ and wind speed v in m/s. Real efficiency accounts for all losses:
$$\mu = (1 - k_m)(1 - k_e)(1 - k_{e,t})(1 - k_t)(1 - k_w) \times C_p$$
Output power in kW is $\mu \times P_{\text{wind}} / 1000$. Revenue equals tariff × output power.
RPM and Torque
RPM for HAWT: $60 \times v \times \text{TSR} / (\pi \times 2 \times L)$. For VAWT: $60 \times v \times \text{TSR} / (\pi \times D)$. Torque: $\tau = P_{\text{output}} / \text{RPM} \times 30/\pi$.
For related renewable energy tools, see the Hydroelectric Power Calculator, the Solar Panel Calculator, or the Carrying Capacity Calculator.
Frequently Asked Questions
What is the difference between HAWT and VAWT?
Horizontal-axis turbines (HAWT) rotate around a horizontal axis and are the most common onshore design. Vertical-axis turbines (VAWT) rotate around a vertical axis. HAWT typically achieves higher efficiency but VAWT can accept wind from any direction.
What is the Betz limit?
The Betz limit is the theoretical maximum efficiency of a wind turbine, approximately 59.3% (Cp = 0.593). Real turbines typically achieve 30 to 40% due to mechanical, electrical, and aerodynamic losses.
What loss factors should I use?
Typical values are wake losses 3 to 10%, mechanical losses under 1%, electrical losses 1 to 1.5%, transmission losses 3 to 10%, and downtime 2 to 3%. The defaults in this calculator are 5%, 1%, 1.5%, 5%, and 2% respectively.
How is revenue calculated?
Revenue equals the electricity tariff in $/kWh multiplied by the output power in kW. This gives an hourly revenue estimate assuming continuous operation at the current wind speed.
What wind speed range is usable?
Most commercial turbines start generating at about 3 m/s (cut-in speed) and shut down above 25 m/s for safety. Power increases with the cube of wind speed, so doubling wind speed increases available power eightfold.