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If more than one inter-cooler or re-heater is used their pressure drop can be different. A simple prescription for pressure ratio split calculation is difficult to formulate, and an iteration scheme is used instead. At first the total pressure ratio is split among the N number of turbines or compressors using the following formula: ran = N2rafracn ra (3-7) where ran is the pressure ratio for the nth turbine or compressor, ra is the total pressure ratio and rafracn is the fraction of the total pressure ratio allocated for the nth turbine or compressor. In the real situation, the inter-cooler or re-heater pressure drops are present and to achieve the desired total pressure ratio it is necessary to increase slightly the pressure ratio of each turbine or compressor in order to overcome these pressure drops. Therefore, it is necessary to correct the pressure ratio calculated from Eq. 3-6. There are two possible situations, either the pressure drops of the inter-coolers and re-heaters are specified or they come from the heat exchanger design. Therefore the pressure ratio adjusted for the inter-coolers’ and re-heaters’ pressure drop for the nth turbine can be calculated from: (3-8) (3-9) for the turbine, where ∆pn is the pressure drop in the nth inter-cooler or re-heater and pmaxn is the maximum pressure in the nth inter-cooler or pre-cooler. Since the pressure drops will be affected by the pressure ratio adjustment the subroutines iterate until the change of the pressure ratio is within the specified precision. r ran = ∑a N2rafracn 1−N−1 for the compressor and from: ∆p n=1 pmaxn n N−1 ⎛ ∑∆p ⎞ r ⎜1− ⎟ ⎝ n=1 pmaxn ⎠ afracn ran=N2r a⎜ n⎟ 43PDF Image | Advanced Nuclear Power Technology Program A Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors
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