Parametric and exergetic analysis of a two-stage transcritical combined organic Rankine cycle used for multiple grades waste heat recovery of diesel engine

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Parametric and exergetic analysis of a two-stage transcritical combined organic Rankine cycle used for multiple grades waste heat recovery of diesel engine ( parametric-and-exergetic-analysis-two-stage-transcritical-co )

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6th International Conference on Pumps and Fans with Compressors and Wind Turbines IOP Publishing IOP Conf. Series: Materials Science and Engineering 52 (2013) 042018 doi:10.1088/1757-899X/52/4/042018 In this paper, the pinch point temperature difference method is used to analyze the supercritical heat transfer process. Before establishing the mathematical model of this system, some general assumptions are formulated as follows: (1)each component is considered as a steady-state steady-flow system; (2)the kinetic and potential energies are neglected; (3)heat and friction losses in each component and system pipe are also neglected; (4)isentropic efficiency of the turbine is 0.7; isentropic efficiency of the pump is 0.8; (5)condensing temperature of LORC is 35°C; the temperature of coolant back to engine is 70°C; the temperature of charger air flows into engine is 54°C; the ambient temperature is 25°C.The mathematical model of the system is described as table.2. Wt mr ht,in ht,out ;t (ht,in ht,out) (ht,in ht,out,s) (1) Wp  mr hp,out  hp,in ;p  (hp,out,s  hp,in ) (hp,out  hp,in ) (2) Qc mr(hr,in hr,out);Qc cpcwmcw(Tcw,out hcw,in) (3) Turbine: Working fluid pump: Condenser: Regenerator: Gas heaters: stage, low temperature stage, absorbing heat process and rejecting heat process respectively. The exergy analysis is based on the following method in this paper. For each component, all the exergy flow is considered. Take the gas heater 1 in high-temperature stage for example. In Fig.3, exergy for each inlet and outlet can be calculated by the following formula: Ei mi[(hi T0si)(h0 T0s0)] (6) The energy loss for gas heater 1 is equal to the difference between the exergy flowing into the gas heater 1 and the exergy leaving the gas heater 1. Therefore, the exergy loss for gas heater 1 is: Qreg mr(hr,abs,out hr,abs,in)mr(hr,rej,in hr,rej,out) (4) Qgh  mr (hr,out  hr,in ) ; Qgh  cphmh (Th,in  hh,out ) (5) Wherein, Wt means the output power of the turbine (kW); Wp means the input power of working fluid pump (kW); m means the mass flow rate of fluid (kg/s); h means the specific enthalpy (kJ/kg); ηt means the isentropic efficiency of turbine; ηp means the isentropic efficiency of working fluid pump; Q means the heat capacity in heat exchanger (kW); Subscripts t, p, r, gh, ch, c, reg, h, cw, in, out, s, high, low, abs and rej mean turbine, working fluid pump, working fluid, gas heater, condensate heater, condenser, regenerator, heat source, cooling water, inlet, outlet, isentropic process, high temperature ΔEgh Egh,in Egh,out mr[(hr,in hr,out) (7) T0(sr,in sr,out)]mh[(hh,in hh,out)T0(sh,in sh,out)] Wherein, E means the value of the exergy for each point (kJ/s). Subscript i means each point; s means the specific entropy (kJ/kg.k); T0 means the ambient temperature which is defined to be 25°C; h0 and s0 mean the value of specific enthalpy and specific entropy under standard condition which means the temperature and pressure are 25°C and 1atm, respectively. The exergy analysis of other components in the system can be evaluated according to the same model as above. No more description will be included below. Therefore, the net power output of the CORC system can be obtained as follows: Wnet (Wt,high Wt,low Wp,high Wp,low) (9) The thermal efficiency of CORC is obtained by equation. (10) (11) (12) WDE means the shaft power output for the DE and it is 243kW. DE means the efficiency of the DE, which is proposed to be 40%. th (Wt,high Wt,low Wp,high Wp,low) (Qexhaust QEGR Qcoolant QCAC) The exergy efficiency of CORC system can be obtained as follows: exg,total (Wt,high Wt,low Δ Ecw)/(Eexhaust EEGR Ecoolant ECAC) The global efficiency of the DE-CORC system can be obtained as follows: glo (WDE Wnet)/(WDE /DE) 4

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