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The FuTure oF nuclear Fuel cycle - MIT Energy Initiative

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table 7a.1 list of variables<br />

, 1<br />

lcoe for the once-Through <strong>cycle</strong>;<br />

onCe-throuGh CyCle<br />

f 1<br />

, 1 = f 1 + k 1 + m 1 + d 1<br />

front-end fuel cost, levelized in mill/kWh;<br />

f 1 = u 1 + b 1<br />

k 1 reactor capital cost, inclusive of future maintenance, capital expenditures and decommissioning costs, levelized in mill/kWh;<br />

m 1 non-fuel operating and maintenance cost, levelized in mill/kWh;<br />

d 1 cost of disposal of spent uoX fuel, including the cost of interim storage and geologic repository, levelized in mill/kWh;<br />

u 1 cost of the raw uranium, levelized in mill/kWh;<br />

b 1 enrichment, conversion and fabrication cost for uoX, levelized in mill/kWh;<br />

tWiCe-throuGh CyCle<br />

, 2<br />

lcoe for the Twice-Through <strong>cycle</strong>;<br />

, 2,1 (p) lcoe for the first reactor in the <strong>cycle</strong>, i.e, the reactor burning fresh fuel and sending its spent fuel for reprocessing; this is a function of the value<br />

attributed to the separated plutonium, p;<br />

, 2,1 (p) = f 2,1 + k 2,1 + m 2,1 + d 2,1 (p)<br />

f 2,1 front-end fuel cost for the first reactor in the <strong>cycle</strong>, levelized in mill/kWh;<br />

k 2,1 reactor capital cost for the first reactor in the <strong>cycle</strong>, levelized in mill/kWh;<br />

m 2,1 non-fuel operating and maintenance cost for the first reactor in the <strong>cycle</strong>, levelized in mill/kWh;<br />

cost of disposal of spent fuel, including the cost of reprocessing, disposal of high level wastes and credits for the separated uranium and plutonium,<br />

levelized in mill/kWh;<br />

d 2,1 (p) = s 2,1 + w 2,1 − u 2,1B − z 2,1 (p)<br />

s 2,1 reprocessing cost, inclusive of interim storage for the separated streams and of low and intermediate-level waste disposal, levelized in mill/kWh;<br />

w 2,1 high level waste disposal cost, levelized in mill/kWh;<br />

u 2,1 credit for the separated uranium, levelized in mill/kWh;<br />

z 2,1 (p) credit for the separated plutonium, levelized in mill/kWh;<br />

, 2,2 (p) lcoe for the second reactor in the <strong>cycle</strong>, i.e, the reactor burning re<strong>cycle</strong>d fuel; this is a function of the value attributed to the separated plutonium, p;<br />

, 2,2 (p) = f 2,2 (p) + k 2,2 + m 2,2 + d 2,2<br />

f 2,2 (p) front-end fuel cost for the first reactor in the <strong>cycle</strong>, levelized in mill/kWh; this is a function of the value attributed to the separated plutonium, p,<br />

used to fabricate the fuel;<br />

k 2,2<br />

m 2,2<br />

d 2,2<br />

u 2,2<br />

z 2,2 (p)<br />

b 2,2<br />

p<br />

f 2,2 (p) = u 2,2 + z 2,2 (p) + b 2,2<br />

reactor capital cost for the second reactor in the <strong>cycle</strong>, levelized in mill/kWh;<br />

non-fuel operating and maintenance cost for the second reactor in the <strong>cycle</strong>, levelized in mill/kWh;<br />

cost of disposal of spent MoX fuel, levelized in mill/kWh;<br />

cost of purchasing depleted uranium used in fabricated the re<strong>cycle</strong>d fuel, levelized in mill/kWh;<br />

cost of purchasing the separated plutonium used for fabricating the re<strong>cycle</strong>d fuel, levelized in mill/kWh;<br />

cost of fabricating the re<strong>cycle</strong>d fuel, levelized in mill/kWh;<br />

value attributed to the separated plutonium, $/kg; variable is solved for in deriving the two lcoes, , 2,1 (p) and , 2,2 (p);<br />

continued next page<br />

168 <strong>MIT</strong> STudy on <strong>The</strong> <strong>FuTure</strong> <strong>oF</strong> <strong>nuclear</strong> <strong>Fuel</strong> <strong>cycle</strong>

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