Discovery of the actinium, thorium, protactinium, and uranium isotopes
Thorium or Uranium fuel cycle for advanced nuclear reactors?
Transcript of Thorium or Uranium fuel cycle for advanced nuclear reactors?
Wir schaffen Wissen – heute für morgen
Thorium or Uranium fuel cycle for advanced nuclear
reactors?Fuel recycling, multi-recycling, breeding and burning.
Laboratory for Reactor Physics and Systems Behaviour
Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013
15. Mai 2013 Seite 3
Content
Seite 3
General introduction of actinides
Open and closed fuel cycle
Art of breeding and burning
Safety
Molten salt reactors
Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013
15. Mai 2013 Seite 4Seite 4
Elements and their origin
Originated by: Big Bang,
Source: www.sciencegeek.net and E -K. Thielemann etal./Prog. Part. Nucl. Phys. 46 (2001) 5-22
Stellar, and Supernova nucleosynthesis.
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15. Mai 2013 Seite 5Seite 5
Actinides
� Actinides, the heaviest elements in the periodic table are all unstable.
� But three of them have relatively long half-life: 235U, 238U, and 232Th
� Accordingly,they can be still found on earth.
� 235U is fissile and isnow main working horse.
� 238U and 232Th are fertileand can be transmuted, if irradiated,into fissile 239Pu and 233U.
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
CfBkCmAmPuNp U
PaTh
0.E+00
2.E+09
4.E+09
6.E+09
8.E+09
1.E+10
Hal
f l if
e (y
ears
)
neutron number
Cf
Bk
Cm
Am
Pu
Np
U
Pa
Th
Actinides half-lives in linear scale. Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013 Seite 6Seite 6
Binding energy (per nucleon)
Fusion
Fission
The Liquid Drop Model:
The Coulumbic electrostatic repulsion between protons is reduced by fission.Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013
� The fission of a heavy nucleus requires a total input energy to initiallyovercome the strong force (fission barrier) which holds the nucleus into a spherical or nearly spherical shape.
� This barrier is: 6.5 MeV for 232Th5.5 MeV for 238U5.3 MeV for 235U4.6 MeV for 233U4.0 MeV for 239Pu (synthetic ir reactor bred nuclides)
� Binding energy of the last neutron is released after the neutron absorption.
� The energy is: 5.1 MeV for 232Th4.9 MeV for 238U 6.4 MeV for 235U 6.6 MeV for 233U6.4 MeV for 239Pu
Seite 7Seite 7
Fission barrier & binding energy of last neutron
Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013
Fission of 232Th, 238U, and 235U (natural Ac)
Seite 8
� 232Th + n (E=0eV) => 233Th* => 233Th + γthe binding energy is 5.1 MeV, but the barrier for fission is 6.5 MeV.232Th is not fissile but fissionable by high energy neutrons (1.4 MeV)
� 238U + n (E=0eV) => 239U* => 239U + γthe binding energy is 4.9 MeV, but the barrier for fission is 5.5 MeV.238U is not fissile but fissionable by high energy neutrons (0.6 Mev)
� 235U + n (E=0eV) => 236U* => fissionthe binding energy is 6.4 MeV, but the barrier for fission is 5.3 MeV.235U is fissile
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Fission of 235U as the only starting point
Seite 9
� 235U is the only natural fissile isotope.
� In nature it is always accompanied by 238U (238U 99.3%, 235U only 0.7%)
� It can be used in a thermal (moderated) reactorseither in natural isotopic composition or enriched.
� Strongly enriched it can be used also in fast spectrum reactors.(Enrichment is limited usually to 20% max., because of proliferation risk)
� 235U reactors as the first stage reactors can irradiate 232Th and 238U. (Th-U cycle can not be started without 235U or 239Pu from U-Pu cycle)
� 232Th and 238U are fissionable but under irradiation they are predominantly transmuted by neutron capture.
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Initial and secondary stages & open versus closed cycle
Uranium-Plutonium cycle
Initial stage
Open cycle
Reactor with Uranium fuel
cycle
U
Pu
U
MA
Pu
FP
ReactorUranium fuel
cycle
with Natural
orenrichedUranium
U
MAPu
FP
Secondary stage / Pu recycling
Closed cycle
Feed
Recycling
Reactor with Uranium fuel
cycle
FPFeed
Reactor with Uranium fuel
cycle
Recycling
MA
Partly closed cycle / Pu multi-recycling Fully closed cycle
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Initial and secondary stages & open versus closed cycle
Thorium-Uranium cycle
Secondary stage / Pu recyclingInitial stage
Open cycle
Reactor with Thorium fuel
cycle
Th
Pu
Th
MA
233U
FP
ReactorUranium fuel
cycle
with Natural
orenrichedUranium
U
MAPu
FP
Fully closed cyclePartly closed cycle / Pu multi-recycling
Closed cycle
Feed
Recycling
Reactor with Thorium fuel
cycle
FPFeed
Reactor with Thorium fuel
cycle
Recycling
MA
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Secondary fissile elements 233U and 239Pu
Seite 12
�:
233U + n (E=0eV) => 234U* => fission the binding energy is 6.6 MeV, but the barrier for fission is 4.6 MeV.233U is fissile
�:
239Pu + n (E=0eV) => 240Pu* => fissionthe binding energy is 6.4 MeV, but the barrier for fission is 4.0 MeV.239Pu is fissile
� Fissionable 232Th and 238U transmutations to fissile 233U and 239Puare called breeding or conversion.
UPaThnTh day 23392
2723391
min2223390
10
23290 → →→+
−− ββ
PuNpUnU day 23994
4.223993
min2423992
10
23892 → →→+
−− ββ
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Fission probability for 233U, 235U, 239Pu, 232Th and 238U
1 .E - 0 3
1 .E - 0 2
1 .E - 0 1
1 .E + 0 0
1 .E - 0 3 1 .E - 0 1 1 .E + 0 1 1 .E + 0 3 1 .E + 0 5 1 .E + 0 7N e u t r o n e n e r g y ( e V )
No
rmal
ized
neu
tro
n f
lux
(n
/m2 /s
)
T h e r m a l s p e c t r a M S R
F a s t S p e c t r a M S R
Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07Neutron energy (eV)
Fis
sion
pro
babi
lity
by in
tera
ctio
n
Pu239
U235
U233
U238
Th232
15. Mai 2013 Seite 14Seite 14
Capture probability for 233U, 235U, 239Pu, 232Th and 238U
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07Neutron energy (eV)
Cap
ture
pro
babi
lity
by in
tera
ctio
n Pu239
U235
U233
U238
Th232
� Fissile 233U, 235U and 239Pu transmutations by neutron captureare called parasitic neutron absorption.
� It is the main source of Minor Actinides (MA) build-up (mainly 239Pu).
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Actinides chain for Th-U and U-Pu cycles
C:11.0%
C: 9.2%
RR: 100%
RR: 100%
M: 42.9%U234M: 35.5%
C:99.3%
C:81.2%
RR: 12.5%
RR: 11.0%
M: 14.2%U235M: 9.3%
RR: 12.3%
RR: 8.9%
C:18.8%
C:26.7%
M: 19.3%U236M: 10.7%
C:98.2%
C:90.3%
RR: 2.4%
RR: 2.4%
M: 4.2%Np237M: 2.7%
C:99.6%
C:92.1%
RR: 2.4%
RR: 2.1%
M: 4.7%Pu238M: 3.1%
C:94.0%
C:42.6%
RR: 2.3%
RR: 1.9%
M: 0.6%Pu239M: 0.9%
RR: 2.2%
RR: 0.8%
U237
7d
2d
Np238
Equilibrium U233 chainRR:
M:C:
total reaction rate with neutrons relative to U233 (without n,2n).
mass relative to U233. capture probability.
Light blue: thermal MSRDark blue: fast MSR
C:37.7%
C:34.2%
M: 0.3%Pu240M: 0.8%
C:99.9%
C:77.4%
RR: 0.9%
RR: 0.3%
Gatewayto Pu241Pu242Am andCm build-up
n,γβ- half-liven,2n
2.3d
U239
Np238
U238
23min
Pa231
26h
1d
Th231
U232
Pa232
α
M: 100%U233M: 100%
Pa233
Th233Th232
22min
27d
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Recycling issues for Th-U and U-Pu cycles
� Th-U cycle issue:Hard gamma for instance from 212Bi, 208Tl, and 212Po.
� U-Pu cycle issue:Higher production of minor actinides,for instance Am and Cm (they emitsenergetic alfa and Cm also neutrons).It is difficult to fabricate them in solid fuel.
� =>In U-Pu cycle it is difficult to recyclethe MA, but Pu recycling is feasible.
� =>In Th-U cycle it is difficult to recycle U.Other fuel components are feasible.
� Molten Salt Reactors (MSR)with liquid fuel (no fabrication) and Pyrochemical reprocessing methods can accommodate both MA from U-Puand U from Th-U cycles much easier.
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Production of long-living radioactive
waste?
Limited resources
especially of uranium
235U?
Non-absolutesafety?
LWR
Open and closed cycles problematic issues
� Closed cycle is typically usedfor non-moderated reactorswith fast neutron spectrum.
� Open cycle is typically usedfor moderated reactors (LWR)with thermal neutron spectrum.
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Production of long-living radioactive
waste?
Closed fuelcycle withactinidesrecycling
Limited resources
especially of uranium
235U?
U-Pu fast (Th-U fast or th.)
breeder reactor
Non-absolutesafety?
Acceptable safety level ofbreeder with
closedcycle?
� Recycling of spent fuel (or reprocessing) includes two nontrivial steps: partitioning and fabrication !
Open and closed cycles problematic issues
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Burning, breeding, transmutation
� Burning is equivalent to transmutation by fission and representssplitting of an actinide atom into two Fission Products (FP) atoms.
� Breeding, refers to a transmutation of fissionable to fissile nuclide.
� Transmutation generally means change of neutron or proton number of a given Ac or FP isotope by neutron irradiation and possible consequential β- decay.
� Major objective for transmutation are Minor Actinides (MA), which represent long-living radioactive waste.
� Transmutation creates less (shorter) radioactive isotopes (FP)or more fissile MA isotopes, which are later burned.
� Each reactor tends to a certain equilibrium fuel composition.If given fuel component should be transmuted, its share must be above the respective equilibrium share.
� Higher MA load can degrade the safety-related reactor parameters.
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Art of breeding – trivial neutron economy
� In ideal reactor fissile 233U or 239Pu acts as fuel (or actually as catalysers), fertile 232Th or 238U are transmuted (or actually burned).
� The transmutation rate is equal or higher than the fission rate (self-sustaining).
� Trivial neutron economy: ideal reactor needs from each fission:1 neutron to maintain the fission chain reaction and another 1 neutron to breed new fissile isotope from the fertile one.
� Accordingly, the art of breeding is equivalent to good neutron economy.
Breeding ���� Neutron economy (reactivity)
� In fast spectrum:233U produces in average 2.5 neutrons per fission.239Pu produces in average 2.9 neutrons per fission.
� Thus there is by 80% more neutrons to be “wasted”in the 238U-239Pu cycle (0.9 n) than in the 232Th-233U cycle (0.5 n).
� Therefore, the neutron economy of Thorium breeder needs to be much better.Université de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
15. Mai 2013 Seite 21Seite 21
η - fission probability X neutrons originated per fission
� Product of fission probability and number of neutrons originated per fission illustrate how many neutrons are available in the reactor.
� Assuming the trivial neutron economy we need: 1 neutron to maintain the fission chain reaction and another 1 neutron to breed new fissile isotope from the fertile one.
0
0.3
0.6
0.9
1.2
1.5
1.8
2.1
2.4
2.7
3
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07Neutron energy (eV)
ΞΞ ΞΞ (n
umbe
r of n
ew n
eutro
ns p
rodu
ced
by in
tera
ctio
n w
ith n
eutro
n)
Pu239
U235U233
U238Th232
2 necessary neutrons
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η
15. Mai 2013 Seite 22Seite 22
Art of breeding – less trivial neutron economy
2.5152.5342.9212.795Neutrons originated per fission
232Th-233U232Th-233U238U-239Pu238U-239PuCycle
Molten Salt
Reactor(BOC)
Lead Cooled Reactor(EOC)
Lead Cooled Reactor(EOC)
Sodium Cooled Reactor(BOC)
Reactor in equilibrium stateBOC = beginning of cycleEOC = end of cycle
1.9911.9401.8491.869Useful neutron consumption:
0.1070.0860.2190.199Fission of other AC
0.8780.8930.6920.669Fission of 239Pu or 233U
0.0150.0210.0890.132Fission of 238U or 232Th
1.0001.0001.0001.000Next fission
0.9910.9400.8490.869Fertile capture of 238U or 232Th
0.5240.5941.0720.927Neutron “ to be wasted ” :
0.3020.3930.7530.561Total parasitic capture
0.2220.2010.3190.366Leaking from the core
0.0330.1180.1400.071Parasitic capture of structural
0.0000.0950.1590.086Parasitic capture of FPs
0.1810.0970.2480.210Parasitic capture of other Ac
0.0890.0830.2050.194Parasitic capture of 239Pu or 233U
Following numbers refer to fully closed iso-breeding cycle
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Thorium breeding capability in fast reactor is lower
2.5152.5342.9212.795Neutrons originated per fission
232Th-233U232Th-233U238U-239Pu238U-239PuCycle
Molten Salt
Reactor(BOC)
Lead Cooled Reactor(EOC)
Lead Cooled Reactor(EOC)
Sodium Cooled Reactor(BOC)
Reactor in equilibrium stateBOC = beginning of cycleEOC = end of cycle
1.9911.9401.8491.869Useful neutron consumption:
0.9910.9400.8490.869Fertile capture of 238U or 232Th
0.5240.5941.0720.927Neutron “ to be wasted ” :
0.3020.3930.7530.561Total parasitic capture
0.2220.2010.3190.366Leaking from the core
� In LFR (Lead cooled Fast Reactor) to achieve the operational iso-breedingconfiguration in the 232Th-233U cycle, it was necessary to reduce the leakage from 0.319 to 0.201.
� Accordingly: the 238U-239Pu cycle core is 120cm high and the 232Th-233U cycle core is 170cm high (40% higher to reduce leakage)
� Parasitic capture in 232Th-233U cycle is lower (TRU build-up and FP capture).
� So it works, but the neutron economy is more tight.
� However, Thorium is the only capable isotope to breed in thermal spectraUniversité de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
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Art of burning – transmutation
� In burner (transmuter) fertile 232Th or 238U should be avoided.
� They can be replaced by inert matrix (Doppler effect reduction).
� Should one of them be necessary, 232Th is better for transmutation.
� It originates 233U, which has higher fission probability and therefore induces lower amount of higher isotopes.
� If LWR MA should be burned, their mass should be above equilibrium MA content for given reactor (fertile material). This may deteriorate reactor’s safety characteristics.
� Criticality safety may be improved by external neutron source: for instance by the accelerator driven neutron spalation source. 0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
1.E-03 1.E-01 1.E+01 1.E+03 1.E+05 1.E+07Neutron energy (eV)
Cap
ture
pro
babi
lity
by in
tera
ctio
n
Pu239
U233
U238
Th232
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(Nuclear) Safety & MSR
'Safety' is the achievement of proper operating conditions, prevention of accidents and mitigation of accident consequences, resulting in protection of workers, the public and the environment from undue radiation hazards.http://www-ns.iaea.org/standards/concepts-terms.asp
Hazards/Risks:
1) Potential risks(in the absence of all protective measures)
2) Residual risks (remain despite provisions made to prevent accidents)
3) Acceptable risks (CH case: after Fukushima it may be difficult to convince public that the residual risk of wide-ranging land contamination is acceptablebecause of its very low frequency - what does it mean 10-5 or 10-6?)
http://www.iaea.org/ns/tutorials/regcontrol/assess/assess3212.htmUniversité de Genève, SÉMINAIRE DE PHYSIQUE CORPUSCULAIRE
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Risk = probability X consequences (Farmers curve)
Options to improve the position of solid-fuel reactors :
Decreasing installed power or fuel burn-up(small modular reactors)
Adding barriers or decreasing the frequency of their fai lure(passive systems, TRISO particle fuel, underground reactors)
http://www.iaea.org/ns/tutorials/regcontrol/assess/assess3212.htm
Farmer curve illustration (log-log scale)
Solid-fuel reactors
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Risk = probability X consequences (Farmers curve)
Online removal of highly mobile gaseous and volatile FP(Ac and remaining FP are embedded in the salt)
Lower consequences may allow reduction of classical b arriers(safety standards for reactor X reprocessing plant )
http://www.iaea.org/ns/tutorials/regcontrol/assess/assess3212.htm
Farmer curve illustration (log-log scale)
Liquid-fuel reactors:
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1.E-03
1.E-02
1.E-01
1.E+00
1.E-02 1.E-01 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07Neutron energy (eV)
No
rma
lize
d n
eu
tro
n f
lux
(n
/m2 /s
)
1.E-03
1.E-02
1.E-01
1.E+00
1.E+01
1.E+02
1.E+03
1.E+04
1.E+05
Cro
ss-s
ectio
n X
S (b
arn)
Thermal spectra MSRFast Spectra MSRTh232 capture XSU233 fission XS
Seite 28
� Thermal reactor needs coolant (as moderator), its removal stops the chain reaction
� Fast reactor doesn’ t need coolant and its removal from the core is dangerous(positive void effect).
� Doppler effect (XS resonances broadening) depends on the Fissile/Fertile ratio.
Criticality safety (two basic parameters)
Coolant removal safe,
but MA recycling
impossible
Coolant removal danger,
but MA recycling
possible
Doppler effect
(resonances
broadening)
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Source term and main accident types comparison
Barriers
Accidents driven by fission chain reaction in original core geometry
Criticality accidents
Decay heat removal
accidents
Recriticality accidents
Source term
Highly mobile gaseous and volatile FP
Accidents driven by failure ofdecay heat removal
Accidents driven by fission chain reaction in compacted (melted) core geometry
Level: high - low
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Source term
Criticality accidents
Decay heat removal
accidents
Recriticality accidents
Source term
SFR
Decay heat removal
accidents
LWR ADS
Criticality accidents
Source term
Decay heat removal
accidents
Recriticality accidents(fast ADS)
Source term and main accident types comparison
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Source term
Storage of immobilized FP
On line removal of gaseous and
volatile FP
Decay heat removal
accidents
Source term
Decay heat removal
accidents
LWR spent fuel short-term storage MSR
Recriticality accidents
(fast MSR?)
Criticality accidents
Source term and main accident types comparison
MSR can be also
designed as an
Accelerator dri
ven system
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?
Historical Overview of MSR
1950s • Aircraft Reactor Experiment (ARE) *
1960s • Molten Salt Reactor Experiment (MSRE) *
1970s • Molten Salt Breeder Reactor (MSBR) *
1980s • Denatured Molten Salt Reactor (DMSR) *
1990s • Accelerator-driven transmutation of Nuclear Waste (ATW) **
2000s • Generation IV, Amster, Sphinx, Tier, Fuji…
2010s • MSFR, Mosart…
Future • Th-U breeding, TRU transmutation, H2 or process heat production… ?
* ORNL, ** LANL
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Molten salt features and related advantages
Pure molten fluoride salts are transparent,
e.g. LiF-BeF 2. This feature may disappears with
addition of actinides.
Low vapor pressure of fluoride salts (reduced stresses on vessel and piping)
High-temperature operation(potential for hydrogen production)
Chemically inert substance (no fire or explosion hazard )
Freezing is inherent and passive (dispersion and freezing after leakage)
Radiation resistant substance (unlimited use only with purification)
Fuel is molten and in liquid state (it can be drained, no melting accidents)
Categories :Safety
Economics
Sustainability
Solubility of the Ac and FP (limited risk of radiotoxicity release )
Source: Ch. Forsberg ORNL
freezing < 600°C 1400°C < boi lin g
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Neutronics characteristics and related advantages
Low absorption materials & no cladding
Categories :Safety
Economics
Sustainability
Online refueling and reprocessing
Flexible fuel composition(without blending and fabrication,
enables actinides recycling)
Low fuel load(low excess reactivity)
Fuel presence in salt (negative thermal feedback coefficient)
Low source term(low radiotoxic risk)
Available “excess” neutrons(thorium breeding and/or actinide burning, fixed fuel cost)
Online criticality maintenance (high availability)
Excellent neutron economy
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MSR drawbacks
� Structural materials corrosion and irradiation embrittleme nt.(high Ni content alloys should be applied and redox potential must be controlled to prevent corrosion, furthermore in fast MSR the alloys suffer from radiation embrittlement.)
� Graphite, if applied, has limited lifespan.(its mechanical stability also suffers by fast neutron irradiation)
� Complicated molten salt reprocessing techniques. (fluoride volatilization techniques, Electro-separation processes, Molten salt / liquid metal reductive extraction)
� Fuel salt chemical treatment and possible proliferatio n risk. (redox potential control, on-line refueling, He bubbling to remove gaseous and volatile fission products, proliferation risk related to 233Pa or 233U relatively easy separation)
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MSR Dynamic features
III. Fission energy is predominantly released directly into the salt.
I. Delayed neutrons precursors areconvected (drifted) by the fuel flow.
720709699689679668658648638627617607597586576566
R0R
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
20
Temperaturedistribution inone graphite
channel
Radius
Node
II. Moderator is cooled by the liquid fuel.
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MSR rough classification
1) According to neutron spectra (thermal, epithermal, fast)
2) According to the purpose(burner, breeder, or both at once)
3) According to the leakage utilization (core zones and fluids number)
Physical number ofdifferent salts / loops
Single fluid Two fluids
Separation of fissile and fertile fluids / regions
Single fluid Virtual One and a half fluid
One and a half fluid
Two fluids
Fertile salts placement In core only or no fertile
In core only In core and blanket In blanket only
Core design One region Two regions One regions One regions
Blanket or similar region No Yes Yes Yes
Proliferation risk Lower Lower Higher Higher
Example MOSART (without blankets)
or MSRE
MSBR MSFR MOSART(with blankets)
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Novelty of the study:
� Equilibrium closed cycle is simulated by ERANOS based EQL3Dprocedure (modified at POLIMI by C. Fiorina for MSR) for full core geometry and each salt-graphite ratio.
� Salt and graphite feedback coefficients are evaluated for classical and inverted channel geometry.
� Criticality conditions are obtained, if possible, by adjusting the core radius.
� Salt composition was adopted from the European FP7 project EVOL (77.5 molar % of LiFenriched in 7Li (99.999 at%) and 22.5 molar % of Ac)
Single-fluid MSR fuel cycle parametric study
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15. Mai 2013 Seite 39
H=1.892R
50 cm
50 cm
R+50cmR
Hastelloy
Salt & Graphite
Single-fluid MSR fuel cycle parametric study
Fuel-to-moderator ratio from 5% to 100% for classical and inverted channel geometries
X % = Salt volumetric ratio. Graphite Salt
80% 70% 60% 50% 40%
30% 20% 15% 10% 5%
80% 70% 60% 50% 40%
30% 20% 15% 10% 5% Inverted channel layout
Classical channel layout
22% 13% 37% 100% 90%
MSRE MSBR fiss. MSBR fert. MSFR & MOSART
Core geometry as a function of its radius R, which was used to obtain criticality, if possible.
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15. Mai 2013 Seite 40
LCF
Pkeff ++
=
Neutron balance equation:
Assuming k eff =1 and P=νF:
Reaction rates ratios
F
L
F
C +=−1ν
Capture break-down
Infinite multiplication factor
Results: criticality and reaction rates
0.98
1.00
1.02
1.04
1.06
1.08
1.10
1.12
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
k inf
Eranos: kinf classical channels Eranos: kinf inverted channelsSerpent: kinf classical channelsSerpent: kinf inverted channels
1.0
1.1
1.2
1.3
1.4
1.5
1.6
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Rea
ctio
n ra
te ra
tios
-0.1
0.0
0.1
0.2
0.3
0.4
0.5
Rea
ctio
n ra
te ra
tios
ν - 1C/FL/F (sec. axis) from EranosL/F (sec. axis) from Eq. 2
0.00
0.03
0.06
0.09
0.12
0.15
0.18
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Cap
ture
to to
tal f
issi
on ra
tio
0.91
0.94
0.97
1.00
1.03
1.06
1.09
Cap
ture
to to
tal f
issi
on ra
tio
233U234U235-8UPuMASaltGraphite232Th (sec. axis)
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Breedingarea
Burningarea
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
233 U
/232 T
h m
ass
ratio
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
σc,
Th2
32 /
(σc,
U23
3+σ
f,U23
3)
Mass ratio Classical channelMass ratio Inverted channelMicro. XS ratio Classical channelMicro. XS ratio Inverted channel
Results: masses and dimensions
233U/232Th iso-breeding mass ratio
Core radius & salt volume Absolute masses
Other mass ratios
0
1
2
3
4
5
6
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Equ
ilibriu
m c
ore
radi
us (m
)
0
11
22
33
44
55
66
Sal
t vol
ume
in th
e co
re (m
3 )
Radius: classical channelsRadius: inverted channelsVolume classical channelsVolume inverted channels
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Mas
s re
lativ
e to
23
3 U
0.000
0.001
0.002
0.003
Mas
s re
lativ
e to
23
3 U
234U 235U-238U PuMA233Pa232U (sec. axis)
0
2
4
6
8
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Mas
s (to
ns o
r kg)
0
45
90
135
180
Mas
s (to
ns o
r kg)
232U (prim. axis in kg)233U (prim. axis in tons)234U (prim. axis in tons)235-8U (prim. axis in tons)Pu (prim. axis in tons)MA (prim. axis in tons)232Th (sec. axis in tons)233Pa (sec. axis in kg)
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Results: partial effects and safety-related coeff.
Graph. density and temp. effectsSalt density and temp. effects
Total estimated effect
inverted classical Assumptions: 1) graphite expansion coefficient
is not zero2) the expansion is not restricted
by e.g. the reactor vessel
-10
-7.5
-5
-2.5
0
2.5
5
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Sal
t rea
ctiv
ity e
ffect
s (p
cm/K
)
Salt ρ Eranos-inv.Salt ρ Eranos-class.Salt T. Eranos-inv.Salt T. Eranos-class.
Cell calculation-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Gra
phite
reac
tivity
effe
cts
(pcm
/K)
Graph. ρ Eranos-inv.Graph. ρ Eranos-class.Graph. T. Eranos-inv.Graph. T. Eranos-class.
Cell calculation
-10
-7.5
-5
-2.5
0
2.5
5
0 10 20 30 40 50 60 70 80 90 100Salt share in the core (%)
Est
. tot
al fe
edba
ck c
oeff.
(pcm
/K)
Salt tot. Eranos-inv.Salt tot. Eranos-class.Graph. tot. Eranos-inv.Graph. tot. Eranos-class.
Estimate for infinite lattice
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MSR designing = separation techniques selection
1) Fluoride volatilization techniques (Fluorination)a) volatilization and fraction distillation
of solid spent fuelb) volatilization of the molten salt mixture
2) Electro-separation processes
3) Molten salt / liquid metal reductive extraction
4) Gaseous and volatile FP removal by He bubbling
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New idea: “Recycling without reprocessing”
� The aim of almost all classical reprocessing schemes isto remove FP and keep everything else.
� Unfortunately, FP can be usually removed as one of the last components (...and it may require all previously named techniques).
� Disadvantage, at least form the classical point of view, is that the Uranium is the first to be removed by the volatilization technique.
� Lets make from the disadvantage an advantage!
� Lets recycle just uranium and throw away the rest…!?
� For that we need “cheep” once through carrier salt with reasonable melting point, Ac solubility, and neutronic economy.(probably without enriched 7Li, e.g. NaF-BeF2 ).
� Generalized idea: lets try to use the reactor physic “freedom”of MSR designing to help to solve the chemistry and materials drawbacks.
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Cheeps salt? Will it be neutronically possible?
“Cheep” once through salt may possibly be NaF-BeF 2(with interesting eutectic melting point 486°C at NaF-BeF2-UF4 73-17-20)
Once through salt will surely absorb more neutrons.
Criticality maintenance? (through fuel addition: to be simulated)
Using LWR Pu as the start-up fuel?(and for fuel addition: to be simulated)
Other questions: How long will be the waste radiotoxic? It will consist mainly from FP. What is a reference radiotoxicity level?Carrier salt compatibility with possible final treatment, for instance vitrification?
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For instance for two-fluid fast MSR
TRU&FP& carrier salt
Newcarrier salt
each 5-10y
each 5-10y
F2
UF6
F2
UF6
each 5-10y
each 5-10y
New idea: “Recycling without reprocessing”
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0
0.2
0.4
0.6
0.8
1
0 2 4 6 8 10 12 14 16 18 20Time (EFPY)
Mas
s re
lativ
e to
U23
3 (%
)
NP237PU238PU239PU240PU241PU242
0
0.2
0.4
0.6
0.8
1
0 2 4 6 8 10 12 14 16 18 20Time (EFPY)
Mas
s re
lativ
e to
U23
3 (%
)
NP237PU238PU239PU240PU241PU242
Can we throw out the salt with TRU?
Probably yes. Thanks to the Th-U cycleproperties the TRU mass seems acceptable.
Fast MSR
U recyclingby volatilization
Thermal MSR
β-
Equilibrium U233 chainRR:
M:C:
total reaction rate with neutrons relative to U233 (without n,2n).
mass relative to U233. capture probability.
Light blue: thermal MSRDark blue: fast MSR
M: 100%U233M: 100%
C:11.0%
C: 9.2%
M: 42.9%U234M: 35.5%
C:99.3%
C:81.2%
M: 14.2%U235M: 9.3%
C:18.8%
C:26.7%
M: 19.3%U236M: 10.7%
C:98.2%
C:90.3%
M: 4.2%Np237M: 2.7%
C:99.6%
C:92.1%
M: 4.7%Pu238M: 3.1%
C:94.0%
C:42.6%
M: 0.6%Pu239M: 0.9%
C:37.7%
C:34.2%
M: 0.3%Pu240M: 0.8%
C:99.9%
C:77.4%
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Seite 48Seite 48
� Thorium and Uranium are the only primordial Actinides left on Earth
� 238U and 232Th can be used to breed fissile 239Pu and 233U.
� 238U- 239Pu cycle is more efficient for breeding, but only in fast spectra.
�238U- 239Pu cycle runs, with low breeding, in current LWR, since it is in thermal
spectrum, amount of induced MA, or actually waste, is relatively high.
� 232Th- 233U cycle is less efficient for breeding, but can operate
in both fast and thermal spectra and produces less MA, or actually less waste.
� Breeders are usually fast reactors and criticality safety may be not solved yet.
� Molten salt reactors can profit from several appealing features based on:
fuel liquid state and 232Th- 233U cycle.
� New idea recycling without reprocessing:
the uranium can be easily recycled in case of the once-through salt.
Summary & Conclusions
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15. Mai 2013 Seite 50Seite 50
Two very different schools of reactor design have emerged since the first reactors were built. One approach, exemplified by solid fuel reactors, holds that a reactor is basically a mechanical plant; the ultimate rationalization is to be sought in simplifying the heat transfer machinery.
The other approach, exemplified by liquid fuel reac tors, holds that a reactor is basically a chemical plant; the ultimate rationalization is to be sought in simplif ying the handling and reprocessing of fuel.
R.C. Briant & Alvin Weinberg, “Molten Fluorides as Power Reactor Fuels,” Nuc. Sci. Eng, 2, 797-803 (1957).
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