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πΆπβ = π4,π π‘ β π3,π π‘ Eqn. 3-66 π3,π‘ β π3,π π‘ Once the conditions are known at station 4, calculations are mostly complete. During the design portion of RGRC, the static pressure ratio from station 0 to 4 will be compared with the desired pressure ratio, and the impeller diameter (along with the diffuser size) will be adjusted accordingly until the design matches the desired performance. In the off-design portion, efficiencies are calculated and then the next operating condition is run. The total-to-static efficiency is defined as πππ = π4,π π‘ β π0,π‘ ππ»ππππ + πΌπ·πΉ + πΌπ πΆ + πΌπΏπππ The less frequently used total-to-total efficiency is defined as πππ = π4,π‘ β π0,π‘ ππ»ππππ + πΌπ·πΉ + πΌπ πΆ + πΌπΏπππ Eqn. 3-67 Eqn. 3-68 It is clear that the total-to-static efficiency must be less than the total-to-total efficiency. 3.3.7 Off-Design Compressor Performance When the code performs a calculation for the performance map, it uses the geometry developed in the design stage and changes the compressorβs speed and mass flow rate through a range of values. It performs all the calculations discussed previously; the velocity triangles, losses, and diffuser performance for a range of mass flow rates from 10 % to 300 % of the design flow rate. RGRC performs the calculations for six speeds, selected by the user in the input file. Whether or not the pressure ratio and efficiency of the compressor are displayed in the output for each combination of speed and mass flow rate, is decided by choke and surge. If the compressor has encountered either, the code will not display the output, and if choke has occurred, the code will go on to the next operating speed to be included in the output. In RGRC and RGRCMS, surge is defined as any of the following conditions: 1. A de Haller number (W1MF/W2) of less than 0.7 2. An impeller outlet flow angle with tangent greater than 4.0 3. Blockage at the diffuser inlet exceeds 15 % 71PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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