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CHAPTER 5: Mean-line Modelling and Optimization of Organic RIT and Integration with Cycle Analysis Programme πΜ (πβπ) π =πΜ (hβh)= π€π 7 6 Equation5-5 ππ’ππ π€π 7 6 π6 πππ’ππ The pump inlet coincides with condenser outlet while all other properties at pump outlet are calculated as a function of EoS(P7=P1, h7). Similar to the condenser, the evaporator is modelled so that all the cycle heat addition (i.e. preheating, vaporizing and superheating) occurs in a single counter-flow heat exchanger (with adiabatic assumption) and has the same pinch-point value. Heat balance for the evaporator gives: πππ = πΜ π€π(h1 β h7) = πΜ π»ππΉ(hπ»ππΉ,ππ β hπ»ππΉ,ππ’π‘) Equation 5-6 The net electric power output from the ORC is denoted by: π = (π π π ) β π Equation 5-7 πππ‘,ππ¦πππ π‘π’πππππ πππhππππππ πππππππ‘ππ ππ’ππ Where Ξ·mechanical accounts for the mechanical losses due to the friction in bearings and couplings and Ξ·generator accounts for the generator losses. The ORC thermal efficiency was then determined by: π ππ‘hπππππ,ππ¦πππ = πππ‘,ππ¦πππ Equation 5-8 πππ 5.4. Mean-line modelling of organic RIT with real-gas formulation 5.4.1. Overview of modelling procedure The main program described in chapter three was employed and advanced with the key difference that instead of using the ideal-gas assumption, the real-gas formulation is implemented where the fluid properties are defined by the built-in EoS in EES using two known thermodynamic properties at each key station (Figure 3-2). Furthermore, instead of determining the fluid properties at the rotor inlet station (in the beginning of the calculation procedure) and then using ideal-gas formulas to calculate the rotor outlet flow conditions, the code performs this recursively for both inlet and exit stations of the RIT. Besides, at the start of the calculation the model evaluates the compressibility factor 162 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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