A combined gas-steam power cycle uses a simple gas turbine for the topping cycle and simple Rankine cycle for the bottoming cycle, Atmospheric air enters the gas turbine at 101 kPa and 20°C, and the maximum gas cycle temperature is 1100°C. The compressor pressure ratio is 8, the compressor isentropic efficiency is 85 percent, and the gas turbine isentropic efficiency is 90 percent. The gas stream leaves the heat exchanger at the saturation temperature of the steam flowing through the heat exchanger. Steam flows through the heat exchanger with a pressure of 6000 kPa and leaves at 320°C. The steam-cycle condenser operates at 20 kPa, and the isentropic efficiency of the steam turbine is 90 percent. Determine the mass flow rate of air through the air compressor required for this system to produce 110 MW of power. Use constant specific heats for air at room temperature. Use steam tables and the table containing the ideal-gas specific heats of various common gases. The required mass flow rate of air through the air compressor is 138.2 kg/s.
A combined gas-steam power cycle uses a simple gas turbine for the topping cycle and simple Rankine cycle for the bottoming cycle, Atmospheric air enters the gas turbine at 101 kPa and 20°C, and the maximum gas cycle temperature is 1100°C. The compressor pressure ratio is 8, the compressor isentropic efficiency is 85 percent, and the gas turbine isentropic efficiency is 90 percent. The gas stream leaves the heat exchanger at the saturation temperature of the steam flowing through the heat exchanger. Steam flows through the heat exchanger with a pressure of 6000 kPa and leaves at 320°C. The steam-cycle condenser operates at 20 kPa, and the isentropic efficiency of the steam turbine is 90 percent. Determine the mass flow rate of air through the air compressor required for this system to produce 110 MW of power. Use constant specific heats for air at room temperature. Use steam tables and the table containing the ideal-gas specific heats of various common gases. The required mass flow rate of air through the air compressor is 138.2 kg/s.
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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Transcribed Image Text:**Combined Gas–Steam Power Cycle Analysis**
A combined gas–steam power cycle incorporates a simple gas turbine for the topping cycle and a simple Rankine cycle for the bottoming cycle. Here’s a detailed overview of the system:
- **Air Intake and Cycle Conditions**: Atmospheric air enters the gas turbine at 101 kPa and 20°C. The maximum temperature of the gas cycle reaches 1100°C. The compressor pressure ratio is given as 8.
- **Efficiency Metrics**:
- The compressor isentropic efficiency is rated at 85 percent.
- The gas turbine’s isentropic efficiency stands at 90 percent.
- The steam turbine boasts an isentropic efficiency of 90 percent.
- **Heat Exchanger and Steam Flow**:
- The gas stream exits the heat exchanger at the saturation temperature of the steam.
- Steam enters the heat exchanger at a pressure of 6000 kPa and reaches a temperature of 320°C.
- **Condenser Operation**:
- Operates at a pressure of 20 kPa.
- **System Output**:
- The combined system is designed to produce an output of 110 MW of power.
To ensure correct system operation:
- Use constant specific heats for air at room temperature.
- Utilize steam tables along with the table containing the ideal-gas specific heats of various common gases.
**Calculated Requirement**:
- The required mass flow rate of air through the air compressor is **138.2 kg/s**.
This comprehensive breakdown serves as foundational knowledge for understanding and analyzing the functionality of a combined gas–steam power cycle in energy systems.
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Step 1: Determine the given variables
VIEWStep 2: Determine the temperature at various states of gas turbine cycle
VIEWStep 3: Determine the net power output of the gas turbine cycle
VIEWStep 4: Determine the enthalpy at various states of the Rankine cycle
VIEWStep 5: Determine the pump work
VIEWStep 6: Determine the net power output of the Rankine cycle
VIEWStep 7: Determine the mass flow rate air and steam
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