Modelling of Microturbine Systems

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Modelling of Microturbine Systems ( modelling-microturbine-systems )

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(p,T,h,s,ρ,κ) 3 . ( m& , q c o n v ) (p,T,h,s,ρ,κ) 3 . ( m& , q c o n v ) Control Volume 1. (p0, T0) 2. MEDIUM MODEL (h, s, ρ, κ) 4. MASS AND ENERGY BALANCES dM , dU dt dt 5. STATE TRANSFORMA TIONS dp , dT dt dt FLOW MODEL EQUATIONS 6. 6. Figure 13: Sequence of computation in ThermoFluid, Perez (2001) In this example, pressure and temperature are the chosen states, but there are also other options as e.g. temperature and mass fraction or temperature and mass. The green flow models in the figure above interact with another control volume on the left and right side respectively. The whole model is a continuous chain of control volumes and flow models in alternating sequence. 1. The user has to set some initial pressure and temperature for each control volume or provide equations that will calculate them. 2. Knowing the two parameters, the medium models are used to evaluate all other thermodynamic variables, like h, d, s and κ in the control volume. 3. The variables from the control volumes are used in the flow connectors to calculate the new mass and energy flows in the adjacent flow models. 4. The mass and energy flows from the adjacent flow models to the control volume are then used to calculate the mass and energy balances in the control volume in form of the time derivatives dM/dt and dU/dt. 5. A class called StateTransformation transforms these derivatives to the time derivatives of the states, pressure and temperature, i.e. dp/dt and dT/dt. 21 FLOW MODEL EQUATIONS

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