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72 ηMP andW&MP are derived assuming that the “cold” resource has an infinite capacitance rate and that energy is removed from the “hot” resource until it reaches the “cold” resource temperature. Based on the results of the finite-time analysis W&MP represents a true practical engineering limit for the power produced from a resource of constant specific heat and finite capacitance rate. Figure 5.6: Results of the finite capacitance-rate finite-time analysis for an internally reversible power cycle operating between 20oC and 300oC for the case where the “cold” capacitance rate is much larger than the “hot” capacitance rate. 5.2.2 Optimizing Traditional Powerplants A traditional powerplant is defined here as one in which the temperature of the thermal resource (combustion gases, geothermal brine) is independent of power cycle operation. The optimal operating point of such a power plant, for a given investment, is the point at which maximum power is generated. If it is assumed that total powerplant cost is some function of its physical size (UA), then an optimally designed traditional plant will always operate at the maximum power condition predicted by a finite-time analysis (revealed in the previous section as or near the CNCA efficiency for most common power cycles) [Ibrahim, 1991, Leff, 1987]. To demonstrate this, consider the analysis of the Carnot cycle in Figure 5.2. Points A, B and C produce the same power from the same thermal resource, but they do so at different efficiencies requiring different UAs. Point A represents the optimal design because it achieves the desired power output with the minimum investment, i.e., the smallest UA. There is no economic benefit to operatingPDF Image | Organic Rankine Cycle Solar-Thermal Powerplants
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