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393 9.23* Develop the equations and an algorithm for the analysis of the steam- injected gas turbine with an unfired steam generator producing superheated steam at the combustion chamber pressure and using methane as a fuel . Use the JANAF tables for thermodynamic properties of steam in the gas turbine. State clearly the assumptions made. Write a computer programming implementing the algorithm. 9.24 Consider a compressor operating at a pressure ratio of 20 and a polytropic efficiency of 86% that compresses ambient air at 101 kPa and 15°C into a cavern. Assume that heat losses from the cavern maintain the air at 15°C and constant pressure during the filling period from midnight to 6 am daily. The compressor is driven by a 20 MW electric motor. What is the daily mass addition to the cavern? From 2 pm to 6 pm daily the same mass of air that was added to the cavern during the night is heated to 1200K and allowed to escape to the atmosphere at a constant flow rate through a turbine expander with a 90% isentropic efficiency. What is the expander power output? What is the daytime energy output? What is the fractional fuel consumption reduction if a regenerator with 80% effectiveness is added to the system? 9.25 Resolve Example 9.2 for superheated steam injection at 400°, 500°, 600°, and 700°F and the combustor pressure level. Write a brief report on your findings on the influence of temperature of injected steam on STIG perform- ance. 9.26* Use the STIG spreadsheet shown in Table 9.5 to verify the performance calculations of Figures 9.23 and 9.24. 9.27* Investigate the influence of compressor pressure ratio variation on STIG performance for the model of Example 9.2, and prepare a memo reporting your results. 9.28* Evaluate the separate influences of steam heat capacity and added mass on the thermal efficiency, power output, and work ratio for the model of Example 9.2. 9.29 Consider a two-shaft gas turbine to be modified for steam injection. The compressor pressure ratio is 9.3, and the turbine inlet temperature is 982°C. The isentropic efficiencies of the compressor and turbines are 83% and 90%, respectively. The gas generator mechanical efficiency is 99%, and the power turbine drives an electrical generator that has a 93% efficiency. Accounting for a 4% pressure loss in the combustor and a fuel heating value of 43,000 kJ/ kg, compare the electrical power output, specific fuel consumption, thermal efficiency, and fuel-air ratios for 0.0 and 0.05 steam-air ratios. Briefly described your selection of steam system design conditions. 9.30 It has been decided that the heat-recovery steam generator for a steam- injected gas turbine must be retubed to continue running it in the steam injection mode. The expected cost of retubing is $230,000. Steam injection produces an additional 4000 MW-hr per year, adding two cents per kW-hr toPDF Image | Advanced Systems Steam Power Plant
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