// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
sci.wind-turbine-power-Betz Calculator
Calculates wind turbine power P = ½ρπR²Cpv³ from rotor diameter, wind speed, and power coefficient, and annual energy production (AEP) from a Weibull wind distribution. Weibull scale parameter c = mean wind speed × 1.128 for k = 2 (Rayleigh distribution) — AEP = P_rated × capacity_factor × 8,760 hours.
Inputs
V M S
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
D M
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
Cp
Rate of energy transfer (W). P = V×I (electrical). P = F×v (mechanical). 1 horsepower ≈ 746 W.
Rho Kg M3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Results
turbine power P (kW)
Sample size or count used in the calculation.
available wind power P_avail (kW)
Sample size or count used in the calculation.
swept area A (m²)
The computed two-dimensional surface area.
Betz limit fraction
Sample size or count used in the calculation.
P = Cp·½ρAv³
Reference formula or conversion factor shown for context.