Turbogenerator electricity output and combustible quantity

[DAM14]

Hello,

Is there a formal mathematical link between the amount of electricity that a turbogenerator produces and the corresponding combustible quantity? I understand that, in the case of a gas turbine, rotation and therefore mechanical energy is converted to electrical energy (preceded by a reaction taking place in the combustion chamber). Also, can one link the amount of combustible injected in the combustion chamber and the rotational speed of the turbine?

Thanks in advance.

 

[BvU]

Hello dam, !

a formal mathematical link between the amount of electricity that a turbogenerator produces and the corresponding combustible quantity

The link is called 'proportionality' (in a reasonable region).

There are tons of books and theses and sites on turbomachinery. Google around. Or start with the thermodynamics of simple turbines.

 

[anorlunda]

The most basic equation is conservation of energy. So the first approximation is to assume losses are zero so that energy out = energy in.

Turbo-generators connected to the power grid are synchronous machines. They maintain nearly constant speed while connected.