I'm trying to create a simple model of a single-flash geothermal plant which consist of 3 main parts (flash-separator, turbine, and condenser). Is there any way to create a transfer function using Laplace Transform (s-domain) of each parts based on the thermodynamics equation?
The first thing you need to do is write down the time-dependent mass- and energy balance equations for the turbine (using the open system control volume version of the 1st law of thermodynamics). Then you express each the variables as the sum of a steady state part and a transient part. Then you solve for the steady state part. Then you linearize the time-dependent equations with respect to the perturbations about the steady state. Then you can use the Laplace transform for the linearized perturbations.