Joule-Brayton Process with Ideal Gas

• First Version:
  • start with ThermoSimT model
    • replace thermodynamic components
    • define initial pressure and temperature
  • mass flow not defined explicitly
    • dynamical variable in ThermoDLR
    • mainly depending on compressor parameters
  • run → "Failed ... during initialization"
• Finding parameters for compressor and turbine:
  • create simple test model Source - Compressor - Sink
  • use input state, output pressure and torque from above  → doesn't run
    • reason: completely different turbine characteristic
    • 
    • use formula to compute ω from mass flow and pressures
    • use energy balance to compute τ
    • use ω as initial value, and 0 for initial mass flow ("powering up")
  • run → mass flow rises almost to correct value
    • difference due to regularization in equations
  • similar procedure for turbine
    • quadratic equation has no real root!
    • simple workaround: adapt parameter m_flow_ref
• Finishing steps:
  • use computed parameters in initial version
    • → runs and almost reproduces desired values
  • finetuning
    • change τ to get exact final pressure
    • use scaling of all extensive parameters to get correct mass flow
  • close the circle
    • add cooler after turbine
    • delete Source and Sink and add intermediate Volume
    • initial state now defined in Volume