A pressurized waterreactor nuclear power plant steam generat

A pressurized water-reactor nuclear power plant steam generator has separate turbine and reactor water loops. The steam generator receives high-pressure hot water from the reactor vessel to heat the turbine feedwater. Steam is generated from the feedwater in the turbine loop. The water pressure in the reactor is 15 MPa, and the water temperature in and out of the reactor is 289°C and 325°C, respectively. The plant has one turbine with a single extraction to a closed FWH with condensate throttled to the condenser. Throttle conditions are 300C and 8 MPa. The extraction and condenser pressures are 100 kPa and 5 kPa, respectively. The reactor-coolant flow rate is 14,000 kg/s. Assume no heat losses in heat exchangers and isentropic turbomachines. Neglect pump work.

(a) What is the rate of heat transfer from the reactor in MWt?

(b) Draw coordinated flow and T-s diagrams that show both loops.

(c) Determine the extraction mass fraction of the throttle flow rate.

(d) Determine the cycle net work, heat rate, and thermal efficiency.

(e) Calculate the steam flow rate.

(f) Assuming the electrical generator has 97% efficiency, calculate the power output, in MWe (electric).

Solution

From steam tables for 15MPa, 289C

specific enthalpy - 1279.2KJ/kg

for 15MPa, 325C

specific enthalpy - 1485.44KJ/kg

Heat transfer from the reactor = mass flow * change in enthalpy KW

=14000*(1485.44-1279.2)

=2887.36MW