Aerospace & Energy
Wind Turbine Aerodynamics
Analyze wind turbine aerodynamic performance, swept area power extraction, tip speed ratio matching, and power coefficient efficiency under variable atmospheric conditions.
Theory
BEM Theory
Blade Element Momentum
Mesh
35 Node Sweep
Real-time solver
Output
CSV
Export ready
Parameters
Turbine Design Preset
Wind speed sweep ramp
Aerodynamic Governing Equations
Swept Area
A = π * R²
Power Extraction
P = 0.5 * ρ * A * v³ * Cp
Tip Speed Ratio (λ)
λ = (ω * R) / v
Power Coefficient (Cp)
Cp(λ, β) = 0.5176 * (116/λ_i - 0.4*β - 5) * e^(-21/λ_i) + 0.0068*λ
Max Betz limit limits aerodynamic efficiency (Cp) to 0.593 (59.3%).
The current system efficiency is 47.9%.
Power scales cubically (v³) with wind speed, making site placement critical.
Linked Fluid-Structure Flow
Power Output
2.30MW
Power Coeff (Cp)
0.479
Tip Speed Ratio
7.85
Swept Area
7854m²
Rotor Speed Performance Curve
Performance Node Sweep
| Rotor Speed (RPM) | Tip Speed Ratio (λ) | Efficiency (Cp) | Power Output (MW) |
|---|---|---|---|
| 1 RPM | 0.52 | 0.004 | 0.02 MW |
| 2 RPM | 1.05 | 0.007 | 0.03 MW |
| 3 RPM | 1.57 | 0.011 | 0.05 MW |
| 4 RPM | 2.09 | 0.016 | 0.08 MW |
| 5 RPM | 2.62 | 0.030 | 0.15 MW |
| 6 RPM | 3.14 | 0.059 | 0.28 MW |
| 7 RPM | 3.67 | 0.104 | 0.50 MW |
| 8 RPM | 4.19 | 0.162 | 0.78 MW |
| 9 RPM | 4.71 | 0.227 | 1.09 MW |
| 10 RPM | 5.24 | 0.292 | 1.40 MW |
| 11 RPM | 5.76 | 0.351 | 1.69 MW |
| 12 RPM | 6.28 | 0.402 | 1.93 MW |
| 13 RPM | 6.81 | 0.440 | 2.12 MW |
| 14 RPM | 7.33 | 0.466 | 2.24 MW |
| 15 RPM | 7.85 | 0.479 | 2.30 MW |
| 16 RPM | 8.38 | 0.478 | 2.30 MW |
| 17 RPM | 8.90 | 0.466 | 2.24 MW |
| 18 RPM | 9.42 | 0.442 | 2.13 MW |
| 19 RPM | 9.95 | 0.408 | 1.96 MW |
| 20 RPM | 10.47 | 0.364 | 1.75 MW |
| 21 RPM | 11.00 | 0.313 | 1.51 MW |
| 22 RPM | 11.52 | 0.254 | 1.22 MW |
| 23 RPM | 12.04 | 0.190 | 0.91 MW |
| 24 RPM | 12.57 | 0.120 | 0.58 MW |
| 25 RPM | 13.09 | 0.046 | 0.22 MW |
| 26 RPM | 13.61 | 0.000 | 0.00 MW |
| 27 RPM | 14.14 | 0.000 | 0.00 MW |
| 28 RPM | 14.66 | 0.000 | 0.00 MW |
| 29 RPM | 15.18 | 0.000 | 0.00 MW |
| 30 RPM | 15.71 | 0.000 | 0.00 MW |
| 31 RPM | 16.23 | 0.000 | 0.00 MW |
| 32 RPM | 16.76 | 0.000 | 0.00 MW |
| 33 RPM | 17.28 | 0.000 | 0.00 MW |
| 34 RPM | 17.80 | 0.000 | 0.00 MW |
| 35 RPM | 18.33 | 0.000 | 0.00 MW |