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 4 Working fluid selection: The operating map approach In most cases, the selection of the working fluid is linked to that of the expansion machine: selecting a certain type of expander makes the use of a series of working fluids possible while others must be rejected. In the same manner, when a working fluid is selected, not all types of expansion machines are suitable for the imposed working conditions. Selecting a working fluid and an expansion machine should therefore be performed in the same process. This method aims at providing a preselection tool for selecting the most suitable combinations of working fluid / expansion machine for a wide range of working conditions typical of ORC systems. This is achieved by building an operating map of each combination in terms of condensing and evaporating temperatures, taking into account the practical limitations of each expansion machine. The power ranges suitable to each combination are then evaluated. 4.1 Limitations of volumetric expanders As detailed in chapter 2.4, volumetric expanders are characterized by a built- in volume ratio, which corresponds to the volumetric increase of the pocket in which the fluid is trapped after the suction process. As shown in 4.2.1, over and under-expansion losses can easily be computed by summing an isentropic expansion and a constant-volume expansion: Isentropic expansion: w1=hsu – hin (60) The internal expansion isentropic efficiency is therefore given by: εin=w1+w2 (62) The maximum internal built-in volume ratio of positive-displacement expander is usually not higher than 5. It is limited by the length of the rotor (bending stresses) in the case of a screw expander and by the number of spiral revolutions in the case of a scroll expander. This is an important limitation since most ORCs operate at much higher volume ratios. However, allowing a small under-expansion can substantially increase the volume ratio over the expander with a limited penalty on the efficiency. It is hin being the isentropic enthalpy at pressure Constant volume expansion: pin . w2 is positive in case of under-expansion, and negative in case of over- w2=vin⋅(pin –pex) expansion. The total expansion work is then obtained by summing w1 and w2. (61) Δhs 11

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