For all problems of this assignment consider Nuclear Power Plant (NPP) with Pressurized water reactor (PWR). Reactor have following parameters:
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Reactor Thermal Power
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3000 MWth
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Nuclear Power Plant has thermal efficiency
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33%
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Working Period Between Annual Outages
(Annual refueling and maintanance)
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300 Effective Full-Power Days
(EFPD)
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Of all Fissions (100%):
Contribution of U-235 fissions:
Contribution of Pu fissions:
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65%
35%
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Energy produced at each fission of U-235
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200 MeV / atom
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Conversion Factor
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1.6 x 10-19 J/eV
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Avogadro Constant
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6.023 x 1023 J/eV
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Initial Fuel Enrichment (wt% of U-235):
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4.0%
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Remaining content of U-235 in fuel (wt% of U-235):
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1.0%
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Amount of uranium that undergo fission in the fuel
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4.0% - 1.0% = 3.0%
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Electricity Price per Kilowatt-hour:
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0.1 $/(kW*hr)
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Natural uranium price
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35 $/lb
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Problem 1 :
Calculate electric output of the nuclear power plant (measured in MWe).
Problem 2 :
Assume that 65% power was produced by U-235 Fissions.
Calculate Mass of Uranium-235 used in the reactor during this period (in kg).
Problem 3:
Assume that amount of uranium that undergo fission in the fuel is equal to 3.0% on total fuel mass,
Calculate total mass of fuel used in the reactor during this period (metric tons).
Problem 4:
Assume that the price of electricity for residents is 10 cents per kilowatt - hour, and that 50% of the payment goes to power distribution network, and 50% goes to NPP owner,
Calculate NPP revenue per day of operation.
Problem 5:
Assume that the price of electricity for residents is 10 cents per kilowatt - hour, and that 50% of the payment goes to power distribution network, and 50% goes to NPP owner,
Calculate NPP revenue per 1 year of operation.
Problem 6:
Calculate total demand of natural uranium per year (in metric tones), necessary for NPP fuel fabrication, assuming that depleted uranium in tails will contain 0.2% of U-235. Calculate the cost of that amount of natural uranium assuming natural uranium price of 35$/lb