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Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors

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Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors ( supercritical-carbon-dioxide-cycle-next-generation-nuclear-r )

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4.2.1 Re-heated Brayton Cycle The first investigated cycle layout is the re-heated Brayton cycle. Cycles with one, and two stages of re-heat are investigated. The re-heating improves the cycle efficiency by increasing the equivalent Carnot temperature for the cycle. We can assume that every thermodynamic cycle has its own equivalent Carnot cycle, i.e. Carnot cycle that achieves the same efficiency. The maximum and minimum temperatures of such an equivalent Carnot cycle can be obtained by evaluating the average temperatures at which the heat is added to and rejected from the real cycle. To increase the efficiency of a real cycle one has to either increase the average temperature of heat addition or reduce the average temperature of heat rejection. With this view it is easy to see that re-heating is the first strategy. By the introduction of a re-heat stage the turbine outlet temperature increases, which leads to the increase of the reactor inlet temperature and thus to the increase of the average temperature at which the heat is added to the cycle. Therefore, to get the best efficiency improvement from re-heating one would like to keep the inlet temperature the same and the outlet temperatures the same for all turbines. For an ideal gas cycle, due to the constant pressure ratio this leads to the equal split of the total pressure ratio among the turbines. For a real gas cycle such as CO2 the pressure ratio split should be optimized to give the same equivalent temperatures of heat addition. However the optimized value is not expected to significantly differ from the equal pressure ratio split, because CO2 is very close to ideal gas behavior in the turbine. The situation may be different for inter- cooling, where the specific heat varies more widely. The cycle layouts are depicted in Figure 4.19. The cycle is similar to the simple Brayton cycle, i.e. the working fluid is compressed in the compressor, then heated in the recuperator by the turbine exhaust, and before entering a turbine it is heated in the reactor. The only difference from the simple Brayton cycle is the split of the turbine into high pressure and a low-pressure turbine and introduction of another pass through the reactor in order to reheat CO2. After the expansion in the low-pressure turbine the working fluid enters the recuperator where it is used to pre-heat the working fluid from the compressor to the reactor inlet temperature. Finally, the heat is rejected in the pre- cooler, where the working fluid is cooled to the compressor inlet temperature. It is 92

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