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PolskiWind Turbine Blade Pitch Angle Lab (2D)
Adjust blade pitch angle, tip-speed ratio and wind speed and watch the Heier power-coefficient model drive rotor speed and electrical power output in real time.
This 2D companion actually implements the blade-angle mechanic its title promises — the 3D scene it pairs with is a decorative flythrough with rotors spinning at fixed random speeds and no working pitch control. Here, wind speed, blade pitch angle and tip-speed ratio feed the standard Heier empirical model for the power coefficient Cp, which in turn drives a real rotor speed and an electrical power output computed from P = ½·ρ·A·V³·Cp, capped at the Betz limit of 0.593.
Formula-driven wind-turbine lab: the Heier Cp(λ,β) model converts wind speed, blade pitch angle and tip-speed ratio into rotor RPM and electrical power output, capped at the Betz limit.
2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install
Cp is the fraction of the wind's kinetic energy a rotor actually converts into mechanical power. It depends on the tip-speed ratio (blade-tip speed divided by wind speed) and the blade pitch angle, and is capped at the Betz limit of 0.593 — no rotor can extract more than 59.3% of the available wind energy.
Below rated wind speed, blades are pitched near their optimal angle to maximize Cp and capture as much energy as possible. Above rated wind speed, pitch-control systems feather the blades (increase the pitch angle), spilling lift and shedding power to protect the generator and drivetrain from overload.