Wind turbine simulation

source — no material stream; reports a power_w metric

Governing equations

The exact equations the solver works for a wind turbine — the same math shown in the app's "Theory" panel, not a black box.

$P$

turbine power output [W]

$\rho$

air density [kg/m^3]

$A$

rotor swept area = pi(D/2)^2 [m^2]

$C_p$

power coefficient [-]

$v$

wind speed [m/s]

$v_{ci}$

cut-in speed [m/s]

$v_{co}$

cut-out speed [m/s]

$P_{rated}$

rated (nameplate) power [W]

$v_{rated}$

derived rated wind speed [m/s]

Parameters

rated_power_w [W], rotor_diameter_m [m], wind_speed_m_s [m/s]; optional power_coefficient [<= Betz 0.5926, default 0.40], air_density_kg_m3 [default 1.225], cut_in_speed_m_s [default 3.0], cut_out_speed_m_s [default 25.0]. No material stream — reports power_w.

Example flowsheets that use it