Input Data
Example Data Table
| Scenario | Air Density | Rotor Diameter | Wind Speed | Cp | Drive Eff. | Generator Eff. | Rated Power |
|---|---|---|---|---|---|---|---|
| Coastal Utility Site | 1.225 | 110 | 12.5 | 0.45 | 95% | 97% | 3500 kW |
| Onshore Plains Farm | 1.200 | 90 | 10.8 | 0.42 | 94% | 96% | 2500 kW |
| Moderate Wind Ridge | 1.180 | 75 | 8.9 | 0.39 | 93% | 95% | 1800 kW |
Formula Used
Swept Area: A = π × (D / 2)²
Wind Power in Air Stream: Pwind = 0.5 × ρ × A × v³
Mechanical Extractable Power: Pmech = Pwind × Cp
Net Electrical Power: Pelec = Pmech × ηdrive × ηgenerator
Daily Energy: Eday = Psystem(kW) × hours × availability
Capacity Factor: CF = Total output ÷ Rated output × 100
These equations estimate theoretical wind power, turbine extraction, conversion losses, and expected energy production for engineering screening studies.
How to Use This Calculator
- Enter local air density, rotor diameter, and average wind speed.
- Provide realistic power coefficient and efficiency values for drivetrain losses.
- Enter turbine count, rated power, and operating assumptions.
- Press Calculate Wind Power to view results above the form.
- Download the result set as CSV or PDF for reporting.
Engineering Notes
Wind speed has the strongest effect because power rises with the cube of velocity. Small wind increases can produce large output gains.
Power coefficient cannot exceed the Betz limit of 0.593. Practical machines usually run below that upper boundary.
This calculator is suited for feasibility studies, quick comparisons, classroom work, and preliminary design reviews. Detailed projects should also include site distributions, wake losses, and cut-in or cut-out behavior.