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68 C. The opposite behavior occurs in the shaded region of the plot, however this region represents non-economical cycle designs and is not useful to consider. The change in power cycle size (UA) from point A to B and point B to C is the same, although the efficiency gains differ demonstrating a diminishing return on cycle efficiency gain with increasing UA. Real Power Cycles Finite-time analysis performed on a Carnot cycle operating between constant-temperature thermal reservoirs is a useful academic exercise, but is disconnected from the reality of powerplant operation. Powerplants depend on finite fuel sources and real power cycles. To demonstrate the significance of the Carnot cycle result, Leff (1987) has shown that a nearly identical relationship between power, efficiency and heat exchanger conductance (UA) is obtained for the Brayton, Otto, Diesel, and Atkinson cycles operating between thermal resources of finite capacitance-rate; all of which generate maximum power at the CNCA efficiency. Not covered by Leff (1987), and of principle interest to solar-thermal power generation, is the Rankine cycle. Consider, then, two thermal resources having finite capacitance rates with an internally-reversible single-stage steam Rankine cycle operating between them, shown in Figure 5.3. Figure 5.3: T-S diagram describing a internally-reversible Rankine cycle operating between two finite thermal resources.PDF Image | Organic Rankine Cycle Solar-Thermal Powerplants
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