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3.5 Modeling and Simulating the System A model of the boiler station with the Organic Rankine Cycle is constructed. The model inputs are shown in table 3.4. Table 3.4 List of model input variables Variable Ta Te m ̇ D H S Q ̇FPC Q ̇FPAB PRATED Q ̇ ORC,RAT ED Q ̇ O R C , I N The workings of computes the minimum mass flow m ̇ ab such that the temperature of the mass flow out of the HX of FPAB precisely equals the limit temperature of 115 °C. The resulting mass flow m ̇ is computed as m ̇ DHS minus m ̇ ab. Subsequently, Tb is computed from the mass flow m ̇ and the FGC-FPC power, which depends on the return temperature and the FPC power. The ORC condenser outlet temperature T4, and as result also Tc, depends on the thermal power output which in turn depends on the thermal input fed to the ORC and the electric efficiency. However the electric efficiency in turn depends on T4. Thus, in order to initialize first the computation, T4 is arbitrarily set to 60°C for the computation to proceed. Td is also set to an arbitrary number, in this case to the desired Te which is preferable because it is close to what it will end up being. This is due to the fact that an initial ansatz close to the actual values increases the rate of convergence. Next, with an ansatz of T4 = 60°C, the electric efficiency of the ORC is determined. Then, from the electric efficiency, the electric power and thermal power output of the ORC is determined, from which T4 is computed. Tc depends on T4 and the fraction of mass flow which does not go through the ORC condenser, however since we want T4 to be as low as possible, all of the available mass flow is taken through the condenser, i.e. m ̇ orc = m ̇ , resulting in Tc = T4. Then, the power fed to the HX of FPC is determined and Td is computed. If Td has changed since the last iteration, the electric efficiency of the ORC, and the subsequent power flows and temperatures, are computed anew. When Td has stabilized, the algorithm computes the delivered supply temperature Te given the boiler power of FPAB. For the first iterations the resulting supply temperature will always be slightly less than the desired supply temperature due to the power output of the ORC, which needs to be compensated for. If possible, the boiler power of FPC is first 46 Description Unit Return temperature °C Supply temperature °C DHS mass flow W FPC thermal power W FPAB thermal power W System electric power rating W Maximum thermal power input °C Thermal power supplied to the system W the algorithm is illustrated in figure 5. Given the inputs, the algorithm firstPDF Image | Analysis of Organic Rankine Cycles for a Boiler Station
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