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Organic Rankine Cycles for Waste Heat Recovery and Solar Uses

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Organic Rankine Cycles for Waste Heat Recovery and Solar Uses ( organic-rankine-cycles-waste-heat-recovery-and-solar-uses )

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Chapter 5: Fluid selection and cycle optimization 2 Thermodynamic optimization When optimizing the design of a cycle, it is necessary to list the degrees of freedom available in the system and link them (at least qualitatively) to the operating conditions of the cycle. This topic has already been covered in Chapter 4, by showing the influence of each degree of freedom. The components thermodynamic interactions highlighted in the case of the ORC prototype using volumetric pump and expander are summarized hereunder: Mass flow rate. Since the pump is a positive displacement machine, it imposes the volume flow rate. The fluid being incompressible, the mass flow rate is also determined by the pump. It can be adjusted by modifying the swept volume of the pump or varying its rotational speed. Evaporating pressure. In the case of a positive displacement machine, the absorbed volume of fluid at each revolution is fixed. Since the volume flow rate is imposed by the expander rotating speed, and since the mass flow rate is imposed by the pump, the vapor density is modulated to maintain continuity at steady state. Modulating the density can be achieved by varying the temperature or the pressure. However, in usual working conditions, the relative variation of the temperature (expressed in Kelvin) is small compared to the relative variation of the pressure. The expander supply pressure is thus imposed by the expander rotating speed for a given pump flow rate: reducing the expander rotating speed leads to a higher evaporating pressure. In the case of a turbomachine, the relation is similar: the high pressure is fixed by the opening of the guiding vanes. When these vanes are mobile, the smaller the opening, the higher the evaporating pressure. Evaporator exhaust superheating. Flow rate and evaporating pressure being set by the pump and the expander, the total heat transfer across the evaporator is determined by the evaporator configuration and by the temperature and flow rate of the hot stream. This heat flux also imposes the superheating at the evaporator exhaust. Condenser supply temperature. In the absence of recuperator, the condenser supply temperature is the temperature of the fluid leaving the expander. This temperature is imposed by the expander efficiency and by the ambient heat losses of the expander. Condenser exhaust subcooling. In an ORC cycle, the mass of the fluid in vapor state is negligible compared to that of the liquid. Adding more fluid to the circuit increases the amount of liquid, and increases the level of liquid in the heat exchangers. If the evaporating conditions (pressure, overheating) are fixed, the liquid level in the evaporator remains more or less the same because the fluid requires a fixed heat exchanger area to get evaporated and overheated. In this case, increasing the refrigerant charge will increase the liquid level in the condenser only and increase the subcooling zone in the heat exchanger. The fluid will therefore have more exchange area to become 4

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