Nuclear Energy Systems Economic Evaluations: Uranium Resource Availability Fuel Cycle Cost
Course 22.39, Lecture 19 11/15/06
Professor Neil Todreas
11/15/06 22.39 Lecture 19 1
Profes sor Neil Todreas
Scope of Presentation
• U ranium Resource Availability
• F uel Cycle Costs
11/15/06 22.39 Lecture 19 2
Profes sor Neil Todreas
Background
• Early thinking: Reprocessing followed by recycling of plutonium in breeder reactors
• T he 70’s: Reprocessing followed by recycling of mixed oxide fuel in LWRs
– G eneric Envir onmental Impact Statement on Mixed Oxide Fuel (GESMO)
– C om m e rcial US reprocessing facilities
– C arter Administration’s Decision (1977)
• T he 80’s: Nuclear industry growth does not materialize
– A ny economic incentives vanish as uranium prices fall sharply
• T he 90’s: U ores are cheap
– S upply constraints appear to be far in the future
11/15/06 22.39 Lecture 19 3
A. Machiels, Presentation at Internat. S y m p.: Ret h inking th e Nucl. Fuel C y cle, Ca mbridge, Mass., Oct. 30-31, 2006, Slide 3
Western World Production against Reactor Requirements 1945-2001
Nucle a r Issues Briefing Paper 36, “Ura nium Markets” Ma y 2006. Uranium Inf o rmat ion Cent er, L t d., Melbourne, Australia.
Courtesy of Uranium Information Center, Ltd.
11/15/06 22.39 Lecture 19 4
Profes sor Neil Todreas
Background (continued) - Uranium Prices Historical Trends
Graph removed due to copyright restrictions.
From: Economic Assessment of Used Nuclear F uel Management
in the United States (BCG, 2006)
11/15/06 22.39 Lecture 19
A. Machiels, Presentation at Internat. S y m p.: Ret h inking th e Nucl. Fuel C ycle, Ca mbridge, Mass., Oct. 30-31, 2006, Slide 4
5
Uranium
Demand > Supply
Additional resources (WPu, U re p , MOX ) used so far
Courtesy of F. Carre, CEA. Used with permission.
Annual d emand and supply o f Uranium (1945 2003)
NEA Source 2006
11/15/06 22.39 Lecture 19 6
F . Carre et a l , Presentati on at Interna t . S y m p.: Re thinking th e Nucl. Fuel C ycle, Ca mbridge, Mass., Oct. 30-31, 2006, Slide 4
Uranium Resource Availability
• 4.7 Million MTU (conventional resources mined < US
$130/kgU)
– 3.3 Million MTU reasonably assured
– 1.4 Million MTU inferred resources
• E nough to feed current world requirements for 80-90 years
• A dditional 22 Million MTU could be recovered from phosphate deposits
• A bout 600,000 MTU equivalent stored in depleted uranium inventories
• C urrently identified resources are sufficient to support growth of 20-40% in nuclear capacity over next two
decades
11/15/06
22.39 Lecture 19
Sourc e : “U ranium 2 0 0 5 : R e source, Production and Dem a nd,” OECD/NEA and IAEA
7
A. Hanson, Presentation at Internat. S y m p.: Rethinking the Nucl. Fuel C y cle, Ca mbri dge, Mass., Oct. 30-31, 2006, Slide 15
Uranium consumption (whithout engaged u ranium in installed reactors) : IIASA
IIASA A2 IIASA A3 IIASA B
IIASA C2
S p e c ul ative r e sources
R easona b le es tima ted r esou rces
S e a w at er, o t h e rs
H i ghe r t han 1000 $/kg
40
35
Phosphate
Be tween 200 up to 400 $/kg
30
N a t. U c o ns um pti o n
25
20
< 200 $/kg
15
10
< 130 $/kg
5
0
2000 20 10 2 020 20 30 2040 2 050 2060 2 070 208 0 20 90 2100
Y ear
U consumptio n i n 205 0 : from 5 to 8 M t on s, up to 17 M t ons, including the Uranium engaged in installed reactors (extraction cost > 130 $/kg)
210 0 : minimu m 2 0 Mtons up to 50/60 M t on s i n c l uding engaged uranium (IIASA scenarios : high, medium, low)
11/15/06 22.39 Lecture 19
Courtesy of M. Delpech, CEA. Used with permission.
8
Uranium Resource vs. Needs
Uranium Consumption (2.1 % Growth, 1000 GWe b y 2050)
25 , 0 00
20 , 0 00
15 , 0 00
Potentially Additionally Available:
• EAR II ~ 6000 Million pounds
• Speculative Resources ~25,700 Million pounds
10 , 0 00
Kn o w n Re s o u r c e s ( RAR a n d EAR- I ) ( < $50/ l b U 3 O 8 )
M i l l i o n P o u n d s U 3 O 8
5, 00 0
0
Year
200 0 201 0 2 0 2 0 2 0 3 0 2 040 2 050 2060
Profes sor Neil Todreas
11/15/06 22.39 Lecture 19 9
N.E. Todrea s, MIT Study on the F u ture of Nuclear Power, Seabrook Stati on, Amer ic a n Nucl. Soc., 18 Dec. 2003, Slide 15
Useful Conversion Factors
Nat U* |
U 3 O 8 |
|
Metric Tons |
1 |
1.18 |
Kilograms |
1000 |
1180 |
Pounds |
2205 |
2601 |
*Taken as 100% U-238
Example:
Reasonabl y assure d ( < 13 0 $/k g extractio n cost ) Bouchard 20 x 10 6 MT nat U
Hanson 3.3 x 10 6 MT nat U
Todreas* 10 to 16 x 10 3 x 10 6 lbs U 3 O 8 3.8 to 6.5 x 10 6 MT nat U
*Including EAR II Potentia lly Av ailable Reserves
11/15/06 22.39 Lecture 19 10
Profes sor Neil Todreas
Fallacy of the Traditional Economic Resource Model*
Classical economic theory suggests that the price of non-renewable resources should rise over time, as the fixed available stock grows scarcer and m o re and more costly resources have to be used. 218 Forecasters relying on this m o del have routinely predicted that th e uranium price would im minently begin a steady rise as resources began to becom e scarce, and these forecasters have just as routinely been proved wrong.
218 F o r a usef ul discussion of the logical flaw s of this classical m odel – s till am azingl y wi del y used, es peciall y in projections of f u ture uran ium prices – s ee M.A. Adelm an, “M y E d ucation in Mineral (Especia l l y Oil) Econom ics,” Annual Review of Energy and Environment, Vol.
22, 1997, pp. 13-46. Another excellent critique of the standard model (drawing on exa m ples rela ted to uranium resources) is Thom as L. N e f f , “ A re Energ y R e sources Inexhaustible?” presentation to the “Gl o bal Energ y P r ospect s: Suppl y -S ide Issues,” L o ndon School of Econo m i cs and P o litical Science, N o ve m b er 11, 19 85. N e f f’s basic answ er is close to “ y es, ” and with respect to uranium , he concludes “ w e we re not so m u ch captiv e of nature’s limits as of our own in thinking about uraniu m res e rves and resources.”
*M. Bunn, S . Fetter, J.P. Holdren, B. van der Z waan, “The Ec onomics of Reproc essing vs. Direct Di sposal of Spent Nucle a r Fuel,” J.F. Kenned y School of Gove rnment, Harvard Universit y , Dec. 2003, p. 107
11/15/06 22.39 Lecture 19 11
Profes sor Neil Todreas
Sustainability: uranium resources
• U resources recoverable at prices below those at which recycling would be justified are likely to be sufficient to fuel an expanding nuclear energy enterprise for many decades
• “ Red Book” estim ates of U resources rose significantly in last decade, even with little uranium exploration – m ore will be found now that high prices are motivating exploration
• C urrent price run-up has nothing to do with lack of U in the ground, everything to do with constraints on rapidly bringing additional production on-line; but over time, profits to be made will mo tivate additional production
• R eliance on recycling is not a path to energy security – a s unforeseen events across the globe (or at home) can play havoc with a country’s plutonium programs
11/15/06 22.39 Lecture 19 12
Profes sor Neil Todreas
M. Bunn, Presentat i on at Internat. S y mp.: Re thinking the Nu cl. Fuel C y cle, Ca mbridge, Mass., O c t. 30-31, 2006, Slide 29
Fuel Cycle Cost Calculation
1 F o
yT plant
24
Bu d
1
2
Sum for Fuel Cycle Co st for Existing LW R Plant 5-6 mills/kWe-hr
Driscoll, M.J., Chapt er 5 f r om “ Su stainable Energy - C hoosing A m ong Option s " b y J ef f erson W . Tester, Elisabeth M. Drake, Mic h ael W . Gola y , Michael J. Driscoll, and W illiam A. Pe ters. M IT Pres s, June 2005
Courtesy of MIT Press. Used with permission.
11/15/06 22.39 Lecture 19 13
Profes sor Neil Todreas
Economic Assessment of Open vs.
Closed Fuel Cycles
1) Are the options being compared comparable in requirements and experience to date?
2) Who is asking the question?
3) How is the question being asked?
4) What should you listen for in the answer?
11/15/06 22.39 Lecture 19 14
Profes sor Neil Todreas
Economic comparison: Recycling vs Once-Through
• C haracteristics o f the options (E. Proust, CEA) – t he two options do not provide the same
overall services : recycling responds to more
extended requirements than bare spent fuel management
– f or the power companies, the cost of R&R is well established (commercial practice and prices), while spent fuel conditioning for direct disposal is still under development and associated costs are forecasted with more uncertainty
11/15/06 22.39 Lecture 19 15
Profes sor Neil Todreas
E. Proust, P r esentat i on at Internat. S y mp.: Re thinking the Nucl. Fuel C y cle, Ca mbridge, Mass., O c t. 30-31, 2006, Slide 7
2) Who is Asking the Question?
CO ST ELEMENT |
COS T /PRICE |
% DUE TO BACK END CHARGES |
AFFECTED PARTY |
B a ck en d cost |
1 mil/kwh |
100% |
Nu clear fuel manager |
Fuel cycle cost |
4-5 mil/kwh |
20-25% |
Nu clear utility |
Prod uction cost |
17 mil/kwh |
6% |
Nu clear utility |
Busb ar cost |
22-23 mil/kwh* |
4% |
Electricity wholesaler |
Retail electricity price |
50-84 mil/kwh* |
1-2% |
Retail consumer (or his government) |
The retail price for elec tric it y vari es widel y b y r e gion and b y season. Nu mber above is range f o r the national average.
Sou r ce: A. Hanson, ARE VA, personal comm unication wit h N. Todreas, 11/3/06
*Courtesy of Nuclear Energy Institute
11/15/06 22.39 Lecture 19 16
Profes sor Neil Todreas
2) Who is Asking the Question? (cont.) Recycling is Cost Effective if:
<
Cost of recycling (treatment and fabrication)
Value of recovered products
(U + Pu)
Cost of recycling Value of recovered Value of cost
< products savings to the
(treatment and fabrication)
(U + Pu)
+ repository due to
recycling
Cost o f recy clin g
< Value of recovered +
Value of cost +
Av oi de d c o sts of
(treatment and fabrication)
products
savings to the
utility settlemen t s
repository due due to earl y receipt
(U + Pu) to recy cling of used fuel
11/15/06 22.39 Lecture 19 17
Profes sor Neil Todreas
A. Hanson, Presentation at Internat. S y m p.: Rethinking the Nucl. Fuel C y cle, Ca mbri dge, Mass., Oct. 30-31, 2006, Slide 16
Economic Assessment of Open vs.
Closed Fuel Cycles
3) “How is the question being asked?”
• H arvard: What is the cost of disposing of a kg of spent fuel? (closed cycle cost is >80% of open cycle cost)
• M IT (2003): What is the cost of producing a kg of fresh fuel? (4.5x for the closed cycle versus the open cycle)
• O ECD/NEA (1994):
• F rench: Charpin D essus P ellat R eport (2000): “a study concerning the economic data of the entire nuclear industry and in particular the later stages of the nuclear fuel cycle, including reprocessing.”
11/15/06 22.39 Lecture 19 18
Profes sor Neil Todreas
4) What should you listen for in the Answer?
Once-Through vs Single MOX Recycle
1. Single Owner Cost [MIT 7/03]
Once Through ( U OX) 0.515¢/kWh (e) [0.643 O E CD/NEA (1994) ] Single MOX Recycle 2.24¢/k Wh(e) [0.680 OECD/NEA (1994)]
∆ F C C% = 335% MIT [5% OEC D /N E A ]
∆ COE% = 43% MIT [0.9% OEC D / N EA]
where COE UOX 4¢/kWh(e)
2. World (Entire Fleet) Cost [MIT 7/03]
FCC FLEET = FC C UOX [% F l eet UOX] + FCC MO X [% Fleet MOX]
FLEET |
1500 MWe |
UOX |
1260 MWe |
MOX |
240 MWe |
0.791 ¢/kWh(e) 0.515 [0.84] + 2.24 [0.16]
∆ FCC% = 53 %
∆ COE% = 6.9%
11/15/06 22.39 Lecture 19 19
Profes sor Neil Todreas
N.E. Todrea s, “Perspecti v es on the Economi cs of Nucle a r Power f r om the MIT Stud y , ” N E ANS S y m posium , Tro y , NY 3/30/2006, p.16
4) What should you listen for in the Answer? (cont.)
Fuel Cycle Cost [MIT 7/03]
SINGLE |
WORLD |
|
OWNER |
(FLEET) |
|
∆ FCC% |
+335% |
+53% |
∆ COE% |
+43% |
+6.9% |
Assume: C OE UOX 4¢/kWh(e)
FLEET 1500 MWe ( operating on single MOX recycle)
UOX |
1260 MWe |
|
MOX |
240 MWe |
|
11/15/06 |
22.39 Lecture 19 |
20 |
Profes sor Neil Todreas
N.E. Todrea s, “Perspecti v es on the Economi cs of Nucle a r Power f r om the MIT Stud y , ” N E ANS S y m posium , Tro y , NY 3/30/2006, p.17
The MIT Cost Comparison
See Appendix Chapter 5.D,
pp. 145-148 of MIT Study
11/15/06 22.39 Lecture 19 21
Profes sor Neil Todreas
Comparison of Cost for Once-Through and Recycle Process Steps (MIT 7/03)
Cost Component |
Unit |
Estimated Cost (low e r bound – n ominal – u pper bound) |
|||
OECD/NEA [1 ] (2002) |
DOE GEN-IV [2 ] |
F e tter, Bunn, Holdren [3 ] |
Our Best Gues s |
||
Ore Purchase |
$/kg |
20-30-40 |
20-30-80 |
33 |
30 |
Conversion |
$/kg |
3-5-7 |
3-5-8 |
4-6-8 |
8 |
Enrichment |
$/kg SWU |
50-80-110 |
50-80-120 |
50-100-150 |
100 |
UOX fabrication |
$/kgIHM |
200-250-300 |
200-250-350 |
150-250-350 |
275 |
SF storage and disposal |
$/kgIHM |
410-530-650 |
210-410-640 |
0-150-300 more than HLW |
400 |
UOX reprocessin g |
$/kgIHM |
700-800-900 |
500-800-1100 |
500-1000-1600 |
1000 |
MOX reprocessin g |
$/kgIHM |
700-800-900 |
500-800-1100 |
- |
- |
HLW storage and disposal |
$/kgIHM |
63-72-81 |
80-200-310 |
0-150-300 less than SF |
300 |
MOX fabri c ation |
$/kgIHM |
900-1100-1300 |
600-1100-1750 |
700-1500-2300 |
1500 |
[1] O E CD /NEA, “ A cce le ra to r - d r iven Syste m s and Fast Reac to rs in Ad vanced Nuc l ear Fue l C y c l es ” , 200 2
[2] D O E, “ G en eration 4 Roadmap - R eport of the Fuel C y c l e C r osscut Group” , 20 01
[3] F e tter , Bun n , Ho ld ren, “ T he Econo mics o f Rep r ocess i ng vs . D i r e ct D i sposa l o f Spent Nuc l ear F u e l ” , 1999
Profes sor Neil Todreas
11/15/06 22.39 Lecture 19 22
N.E. Todrea s, “Perspecti v es on the Economi cs of Nucle a r Power f r om the MIT Stud y , ” N E ANS S y m posium , Tro y , NY 3/30/2006, p.18
Converting YM costs to $/kg HM
$50B/70,000 MT HM = $300/kg HM
11/15/06 22.39 Lecture 19 23
Profes sor Neil Todreas
Reprocessing costs: The impact of financing
Assume: Capital, operating costs = reported costs for THORP, (similar to UP3), continuous operation for 30 years at 800 tHM/yr. What is revenue requirement?
Government-financed (4% real): $1350/kgHM
Utility-financed: >$2000/kgHM
Private venture financed: >$3100/kgHM
Hence, achieving our $1000/kgHM illustrative figure would already require governm ent financing, dramatic technological im provement, or a com b ination of both
11/15/06 22.39 Lecture 19 24
Profes sor Neil Todreas
M. Bunn, Presentat i on at Internat. S y mp.: Re thinking the Nu cl. Fuel C y cle, Ca mbridge, Mass., O c t. 30-31, 2006, Slide 4
Conditions for Competitiveness of the MOX Option
The Future of Nuclear Power: An Interdisciplinary MIT St udy. MIT, 20 03, pp. 148-149
11/15/06 22.39 Lecture 19 25
Profes sor Neil Todreas
COST OF RECYCLING AND ONCE-THROUGH STRATEGIES COMPARABLE IN A GREENFIELD APPROACH (BCG)
Especially G iven Uncertainty on Yucca Mountain Costs and Future Uranium Price
Graph removed due to copyright restrictions.
11/15/06 22.39 Lecture 19
Profes sor Neil Todreas
Boston Consultin g G r ou p, “Economi c Asses s m e nt of U sed Nuclea r Fuel Manage me nt in the Uni t ed Stat es,” July 25, 200 6, p. 18
26
Problems with the BCG study
Esti m a tes unit cost of $620/kgHM for both reprocessing and MOX fab – much less than real plants have achieved for either process
• A chieves this by:
– U sing low 3% government rate (OMB insist s on 7% for such projects)
– A ssumi ng large increase in capa city at m i nor addi tional cost
– A ssumi ng never has an y contract or technical delays, so dramatic increase in throughput – u nrealistic
• V ariety of other unrealistic assumptions
• B y contrast, real experience of using Areva t echnology in
U.S. (SRS MOX plant) has resulted in costs m a ny ti mes
higher than in France – u nm entioned by BCG
11/15/06 22.39 Lecture 19 27
Profes sor Neil Todreas
M. Bunn, Presentat i on at Internat. S y mp.: Re thinking the Nu cl. Fuel C y cle, Ca mbridge, Mass., O c t. 30-31, 2006, Slide 8
References
• H arvard Study: http://www.publicpolicy.umd.edu/Fetter/publications.htm
• E PRI: Report NP-7261 (March 1991) “An Evaluation of the Concept of Transuranic B urning Using Liquid Metal Reactors”
• “ The U.S. Advanced Reactor Development Program: A Report by The U.S. Electric Utility Industry ’ s Advanced Reactor Corporation ” (1995)
• T he National Academy of Sciences: “Nuclear Wastes: Technologies for Separations and Transm utation” (1996)
• B oston Consulting Group, Economic Assessment of Used Nuclear Fuel Managem e nt in the United States, July 25, 2006
11/15/06 22.39 Lecture 19 28
Profes sor Neil Todreas
Intentionally conservative
These estim ates of breakeven U price and COE are low, because of assum p tions favorable to reprocessing :
– C entral reprocessing cost esti mate far below cost that wo uld pertain in privatel y financed fac ilities with costs comparable to those demonstrated at existing plants
– M OX fuel fabrication esti mate well below many recent prices
– N o charge for Pu storage, Am re moval, licensing or security for MOX use
– H igh cost dry cask storage required for all fuel for direct disposal option – t hough most new plants designed with lifeti m e pools
– H LW disposal cost advantage hi gher than most current esti mat e s
– E qual disposal costs for spent MOX and LEU, despite much higher MOX heat
11/15/06 22.39 Lecture 19 29
Profes sor Neil Todreas
M. Bunn, Presentat i on at Internat. S y mp.: Re thinking the Nu cl. Fuel C y cle, Ca mbridge, Mass., O c t. 30-31, 2006, Slide 7