Gas turbine (driver) simulation

fuel gas -> exhaust; reports shaft power and the ambient derate

Governing equations

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

$T_1$

ambient (compressor inlet) temperature [K]

$T_2$

compressor discharge temperature [K]

$T_3$

firing (turbine inlet) temperature [K]

$T_4$

exhaust temperature [K]

$r$

pressure ratio [-]

$\gamma_a$

air specific-heat ratio [-]

$\gamma_g$

combustion-gas specific-heat ratio [-]

$\eta_c$

compressor isentropic efficiency [-]

$\eta_t$

turbine isentropic efficiency [-]

$c_{p,a}$

air heat capacity [J/kg/K]

$c_{p,g}$

gas heat capacity [J/kg/K]

$\dot m_{air}$

air mass flow [kg/s]

$\dot m_g$

combustion-gas mass flow [kg/s]

$\dot Q_{fuel}$

heat released by the fuel (LHV) [W]

$\dot W_{net}$

net shaft power [W]

$P_{avail}$

power available at the actual ambient [W]

$P_{ISO}$

nameplate power at ISO 3977 conditions (15 C, 1.013 bar) [W]

$w_{net}$

net work per kg of air [J/kg]

Parameters

simple-cycle Brayton driver burning the fuel-gas inlet to shaft power, with the ISO 3977 ambient derate computed from physics rather than a vendor curve: output scales with air density (fixed-geometry compressor swallows a fixed VOLUME) times the specific-work ratio (hotter air costs more to compress). Set 'pressure_ratio', 'firing_temperature' [K] and 'iso_rated_power' [W]; give 'driven_power' [W] and it reports power_margin -- whether the refrigerant compressors can be turned on a hot day. Comes out at ~0.66%/K, mid-band for industrial machines. Screening model: constant cp, no part-load/humidity/inlet-chilling deck

Example flowsheets that use it