Consider a regenerative gas-turbine power plant with two stages of compression and two stages of expansion. The overall pressure ratio of the cycle is 9. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Accounting for the variation of specific heats with temperature, determine the minimum mass flow rate of air needed to develop a net power output of 110 MW.

Consider a regenerative gas-turbine power plant with two stages of compression and two stages of expansion. The overall pressure ratio of the cycle is 9. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Accounting for the variation of specific heats with temperature, determine the minimum mass flow rate of air needed to develop a net power output of 110 MW.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An ideal gas turbine cycle consisting of 2 stages of compression and 2 stages of expansion has an overall pressure ratio of 9. Air enters the compressors at the temperature of 320 K while, being intercooled between the stages. Air enters the first compressor at 100 kPa and the pressure ratio of cach of the compressors are selected in a way that minimizes the total power input for the compressors. The high-pressure turbine (First one) drives the compressors and the low-pressure one produces power output. The compressors and both the high-pressure and low-pressure turbines can be assumed ideal. To increase the efficiency of the cycle a regenerator with effectiveness of 85% is used to recover some heat from the exhaust of the second turbine. In this cycle, air with the temperature of 1400 K enters the first turbine. After expansion in the first turbine, air is reheated to the same temperature at the inlet of the first turbine (1400 K). You can consider constant specific heats of c,=1.005…
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