Economic Analysis of Different Nuclear Fuel Cycle Options

Table 3

Equations used in levelized fuel cycle cost calculation.

Cost of each fuel cycle component	Cost calculation methods
Uranium	𝐹𝑈=𝑀𝑓⋅𝑓𝑈⋅𝑃𝑈⋅(1+𝑟)^𝑡𝑈,	(4)
	𝑀𝑓=𝑀𝑝⋅[(𝑒𝑝−𝑒𝑡)/(𝑒𝑓−𝑒𝑡)],	(5)
	where 𝑓𝑈=(1+𝑙𝐶)(1+𝑙𝐸)(1+𝑙𝐹)	(6)
Conversion	𝐹𝐶=𝑀𝑓⋅𝑓𝐶⋅𝑃𝐶⋅(1+𝑟)^𝑡𝐶,	(7)
	where 𝑓𝐶=(1+𝑙𝐶)(1+𝑙𝐸)(1+𝑙𝐹)	(8)
Enrichment	𝐹𝐸=SWU⋅𝑓𝐸⋅𝑃𝐸⋅(1+𝑟)^𝑡𝐸,	(9)
	where SWU=𝑀𝑝⋅𝑉𝑝+𝑀𝑡⋅𝑉𝑡−𝑀𝑓⋅𝑉𝑓	(10)
	𝑀𝑡=𝑀𝑓−𝑀𝑝	(11)
	𝑉𝑥=(2𝑒𝑥−1)In[𝑒𝑥/(1−𝑒𝑥)]and𝑥issubscriptfor𝑓,𝑝,𝑜𝑟𝑡	(12)
	𝑓𝐸=(1+𝑙𝐸)(1+𝑙𝐹)	(13)
Fabrication	𝐹𝐹=𝑀𝑝⋅𝑓𝐹⋅𝑃𝐹⋅(1+𝑟)^𝑡𝐹,	(14)
	where 𝑓𝐹=(1+𝑙𝐹)	(15)
Transport and storage	𝐹𝑇𝑆=𝑀𝑇𝑆⋅𝑓𝑇𝑆⋅𝑃𝑇𝑆⋅(1+𝑟)^𝑡𝑇𝑆,	(16)
	where 𝑓𝑇𝑆=(1+𝑙𝑇𝑆)	(17)
Disposal	𝐹𝐷=𝑀𝐷⋅𝑓𝐷⋅𝑃𝐷⋅(1+𝑟)^𝑡𝐷,	(18)
	where 𝑓𝐷=(1+𝑙𝐷)	(19)

F_x: Cost of fuel cycle component ($), M_x: Mass of materials (kg), f_x: Loss factor (%), P_x: Unit cost ($/unit), l_x: Material loss (%), e_x: Fraction of U-235 (%).
Subscript x: U: Natural uranium, C: Conversion, E: Enrichment, F: Fabrication, TS: Transportation & storage, D: Disposal, f: Feed natural uranium (0.71%), p: Product of uranium fuel, t: Tail.