# Do some thermodyamics task in 2 hours

A combined cycle gas turbine-steam power plant is modeled as a combination of an Air Standard Brayton cycle and a Rankine cycle connected by a heat exchanger [see textbook Figure 9.22 and Example 9.12]. The gas turbine is a commercial aeroderivative unit with the air inlet to the cycle at 100 kPa, 20°C and a pressure ratio of 12. The compressor adiabatic efficiency is 82% and the turbine adiabatic efficiency is 91%. The turbine inlet temperature is 1300K. The hot exhaust air is sent to a Heat Recovery Steam Generator to produce steam for the Rankine cycle. It cools to 350K as it passes through this heat exchanger.

Some of the steam cycle design is up to you. The condenser pressure of the steam cycle is 6 kPa and the steam enters the turbine at no higher than 20 MPa and a maximum of 500°C. The pump adiabatic efficiency is 68% and the steam turbine adiabatic efficiency is 90%. The condenser uses cooling water which is limited to a temperature rise of 10°C.

The power plant is being designed to provide a net power output of 500 MW. The heat input to the gas turbine cycle is being provided by burning natural gas. Assume the natural gas has a lower heating value of 50,000 kJ/kg and 90% of the energy release goes to heating the air in the combustor.

You are to determine a steam generator pressure and maximum temperature, keeping in mind that the heat exchanger must work without violating the second law of thermodynamics (see e., below). Try to maximize the overall efficiency and…

Find:

The pressure of the steam generator and outlet temperature (inlet temperature to the steam turbine).

The mass flow rates of air, steam, cooling water, and natural gas in kg/hr.

The net power for each cycle in MW.

The thermal efficiency of the combined cycle.

Determine whether the interconnecting heat exchanger will work. Assume it is a counterflow heat exchanger and must have a minimum 10°C temperature difference at every point along the piping in the device. *

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