QUALIFICATION OF BERYLLIUM POISONING MODELS FOR …
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MAŁGORZATA WRÓBLEWSKA P. SIRETA P. BLAISE D. BLANCHET A. BOETTCHER | PAGE 1 Munich 11 -15 March 2018 CADARACHE QUALIFICATION OF BERYLLIUM POISONING MODELS FOR MARIA AND JULES HOROWITZ RESEARCH REACTORS
Transcript of QUALIFICATION OF BERYLLIUM POISONING MODELS FOR …
MAŁGORZATA WRÓBLEWSKA
P. SIRETA
P. BLAISE
D. BLANCHET
A. BOETTCHER
| PAGE 1 Munich 11 -15 March 2018
CADARACHE
QUALIFICATION OF BERYLLIUM
POISONING MODELS FOR MARIA
AND JULES HOROWITZ
RESEARCH REACTORS
MARIA REACTOR
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pool type reactor
up to 30MW(th)
moderator: H2O, beryllium
thermal flux 3∙1014 n/cm2 ∙ s
fuel: CERCA, 19.75% enriched
BERYLLIUM
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Atomic weight 9.012
Density 1.85 [g∙cm-3]
σa 0.0011cm-1
diffusion coef. 0.54 cm
moderationg ratio 145
melting point 1287˚C
Coefficient of
linear expansion
11.4∙10-6
cm/cm/˚C
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BERYLLIUM
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CODES AND METHODS
DETERMINISTIC CODES
APOLLO2 (CEA France) MOC method; SHEM 281-group energy mesh
MONTE CARLO
TRIPOLI4.10 (CEA France)
SERPENT 2.1.26 (VVT Finland)
Library: JEFF3.1.1
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CALCULATIONS
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Based on REBUS model Z. Marcinkowska
GEOMETRY
APOLLO2, TRIPOLI4.10
SERPENT2
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CALCULATIONS
Cycle burnup calculations SHEM self-shelding
calculations
Flux calculation 1D Pij
Energy mesh cutting
Flux normalization
Saving results
MOC flux in 2D
Setting burnup steps
Self-shelding
Outage calculation
Saving results
burnup calculation
for one cycle
Library initialization
Reactor configuration data
Depletion chains
definition
Media definition
definition
1D Self-shielding geometry
2D geometry
Initial calculations
Configuration data
0
100
200
300
400
500
600
700
ΔK
eff
[p
cm
]
BURNUP [MWd/t]
1/K [pcm] APOLLO2-no-
Be/APOLLO2-Be
0
1
1
2
2
3
3
4
4
5
ΔK
eff
[p
cm
]
BURNUP [MWd/t]
1/K [pcm]
APOLLO2/APOLO2corrected
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APOLLO2 – TRIPOLI4.10
-200
-150
-100
-50
0
50
100
150
ΔK
eff
BURNUP [MWd/t]
1/K [pcm]
SERPENT/APOLO2 corrected
TRIPOLI4/APOLO2 corrected
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APOLLO2 – TRIPOLI4.10
1,90E-01
1,95E-01
2,00E-01
2,05E-01
2,10E-01
2,15E-01
2,20E-01
0 1 2 3 4 5 6
Neu
tro
n f
lux
Fuel number layer
Thermal flux
TRIPOLI4
APOLLO2
σav=1.8E-4
1,96E-01
1,97E-01
1,98E-01
1,99E-01
2,00E-01
2,01E-01
2,02E-01
2,03E-01
0 1 2 3 4 5 6
Neu
tro
n f
lux
Fuel number layer
Fast flux TRIPOLI4
APOLLO2
σav=2.0E-4
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APOLLO2 – TRIPOLI4.10
0,0E+00
1,0E-07
2,0E-07
3,0E-07
4,0E-07
5,0E-07
6,0E-07
7,0E-07
0 5000 10000 15000 20000 25000 30000 35000
ato
mic
den
sit
y [
ato
ms/b
arn
*cm
]
Burnup [MWd/Mg]
Li-6
MC-5 MCNP
MC-5 APOLLO2
0,0E+00
1,0E-07
2,0E-07
3,0E-07
4,0E-07
5,0E-07
6,0E-07
7,0E-07
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
Li6
APOLLO2
TRIPOLI
SERPENT
σend=4.5∙10-11
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APOLLO2 – TRIPOLI4.10
0,0E+00
1,0E-07
2,0E-07
3,0E-07
4,0E-07
5,0E-07
6,0E-07
7,0E-07
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
Li6
APOLLO2-corrected
TRIPOLI
SERPENT
APOLLO- primary
σ=3.33E-11
0,0E+00
1,0E-12
2,0E-12
3,0E-12
4,0E-12
5,0E-12
6,0E-12
7,0E-12
8,0E-12
0 5000 10000 15000 20000 25000 30000 35000
ato
mic
den
sit
y [
ato
ms/b
arn
*cm
]
Burnup [MWd/Mg]
3H
MC-5 APOLLO2
0,0E+00
5,0E-08
1,0E-07
1,5E-07
2,0E-07
2,5E-07
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
3H
APOLLO2
TRIPOLI
SERPENT
σTend=1.4∙10-11
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APOLLO2 – TRIPOLI4.10
-1,0E-08
4,0E-08
9,0E-08
1,4E-07
1,9E-07
2,4E-07
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
H3
APOLLO2-corrected
TRIPOLI
SERPENT
APOLLO- primary
σ=7.87E-12
1,0E-21
1,0E-20
1,0E-19
1,0E-18
1,0E-17
1,0E-16
1,0E-15
1,0E-14
0 5000 10000 15000 20000 25000 30000 35000
ato
mic
den
sit
y [
ato
ms/b
arn
*cm
]
Burnup [MWd/Mg]
3He
MC-5 APOLLO2
0,0E+00
1,0E-10
2,0E-10
3,0E-10
4,0E-10
5,0E-10
6,0E-10
7,0E-10
8,0E-10
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
3He
APOLLO2
TRIPOLI
SERPENT
σTend=6.3∙10-14
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APOLLO2 – TRIPOLI4.10
0,0E+00
1,0E-10
2,0E-10
3,0E-10
4,0E-10
5,0E-10
6,0E-10
7,0E-10
8,0E-10
0 5000 10000 15000 20000 25000 30000 35000
den
sit
y [
at/
b-c
m]
BURNUP [MWd/t]
He3
APOLLO2-corrected
TRIPOLI
SERPENT
APOLLO- primary
σ=2.47E-14
CALCULATIONS
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0,1
0,15
0,2
0,25
0,3
0,35
0 1 2 3 4 5 6
PO
WE
R [
MW
]
FUEL LAYER NUMBER
POWER DISTRIBUTION
TRIPOLI4 APOLLO2
EXPERIMENT
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FUEL ELEMENTS
13 cm
Control rods
Lithium distribution
Middle of the core height
EXPERIMENT AND MEASUREMENTS
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2∙107 n/s
…
Fission chamber
𝑡𝑝 ≈ 200 [s]
SUMMARY AND CONCLUSION
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What do we know at the moment ?
- Beryllium depletion products in lattice calculations match Monte-
Carlo results
- Measurable effect of poisons accumulation on the reactivity
- Important to include in core calculations
Further steps:
- Developement of core model
- Experiment followed by the model evaluation and corrections
THANK YOU FOR YOUR ATTENTION !!!
Questions?
This work is carried out in the scope of BENICE project, which is supported by the
Polish Ministry of Science and Higher Education, French Atomic Energy Commission in Cadarache
and National Centre for Nuclear Research .
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