benchmark of endf/b-vii.1 and jendl-4.0 on reflector effects · is caused by the negative...
TRANSCRIPT
1
Benchmark of ENDF/B-VII.1 and JENDL-4.0
on Reflector Effects
1st Meeting of WPEC Subgroup 35 on
Scattering Angular Distribution in the Fast Energy Range
May 22, 2012
NEA Headquarters, Issy-les-Moulineaux, France
Makoto ISHIKAWA
Japan Atomic Energy Agency (JAEA)
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Summary of Benchmark
0.992
0.994
0.996
0.998
1.000
1.002
1.004
1.006
1.008
C/E
Valu
e
JENDL-4.0
ENDF/B-7.1
Criticality C/E values by Monte Carlo calculation
±0.2%Δk
(≒Exp.error
)
p.4,5 p.7,8
Exp.Core JENDL-4.0 ENDF/B-7.1 Specification
Jezebel-239 0.9985 1.0001 (PMF001) Ultra-smal, Pu, Bare, Pu240: 4.5at%
Jezebel-240 0.9985 1.0001 (PMF002) Ultra-small, Pu, Bare, Pu240: 20at%
Flattop-Pu 0.9986 1.0009 (PMF006) Ultra-small, Pu, Nat. U reflector, Pu240: 4.8wt%
Godiva 0.9977 1.0005 (HMF001) Ultra-small, Uranium, Bare, U235: 94wt%
Flattop-235 0.9978 1.0033 (HMF028) Ultra-small, Uranium, Nat. U reflector, U235: 93wt%
FCA X-1 1.0017 0.9979 Small, Pu+Enriched. Uranium, Dep. U blanket, Pu:28wt%, U235:12wt%
FCA X-2 1.0025 0.9953 Small, Pu+Enriched. Uranium, SS reflector, Pu:28wt%、U235:12wt%
JOYO Mk-1 0.9990 0.9965 Small, Pu+Enriched. Uranium, Dep. UO2 blanket, Pu:17wt%、U235:23wt%
JOYO Mk-2 1.0036 0.9977 Small, Pu+Enriched. Uranium, SS reflector, Pu:28wt%、U235:12wt%
ZPPR-9 1.0020 0.9977 Large, Pu, Depleted U. blanket、Pu:13wt%
p.10,11
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Method of Sensitivity Analysis
■ Cross-section sensitivity:
■ Contribution of each cross-section
gxmgxm
gxmd
RdRS
,,,,
,,/
/
where,
R: core parameter,
m: nuclide,
x: reaction type,
g: energy group number.
xm g JENDLgxm
JENDLgxmENDFgxm
gxm
JENDL
JENDLENDF SR
RR
, ,,,
,,,,,,
,,
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Reflector Effect : (Bare -> Nat. U)
Godiva Flattop-235
(HMF001)
Ultra-small, Uranium,
U235: 94wt%, Bare
(HMF028)
Ultra-small, Uranium,
U235: 93wt%, Nat. U reflector
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-0.4
-0.2
0.0
0.2
0.4
0.6
0.8 ca
ptur
e
fiss
ion nu mu
elas
tic
inel
asti
c
capt
ure
fiss
ion
mu
n2n
elas
tic
inel
asti
c
capt
ure
fiss
ion nu mu
elas
tic
inel
asti
c
fiss
ion
elas
tic
fiss
ion
etc.
tota
l
U-235 U-238 Pu-239 Pu-240 Pu-241
Jezebel-239
Jezebel-240
Flattop-Pu
Godiva
Flattop-235
Isotope- and reaction-wise contribution to the keff C/E difference
between ENDF-7.1 and JENDL-4.0
(%Δk)
Reflector Effect : (Bare -> Nat. U)
=> The cancellation among inelastic, capture (+) and mu-ave., elastic (-) of U-235
seems to make the reflector effect by ENDF-7.1 worse than JENDL-4.0 by 300pcm.
6
ENDF/B-7.1 vs. JENDL-4.0:U-235
U-235 fission
U-235 elastic
U-235 capture
U-235 mu-ave.
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FCA
Reflector Effect : (Dep.U blanket -> SS reflector)
Small core, Pu+Enriched. Uranium,
Pu:28wt%, U235:12wt%
FCA X-1: Dep. U blanket
FCA X-2: SS reflector
FCA facility
Fuel drawer and plates of FCA
Cross-cut view of FCA X-1
Two-dimensional RZ model of FCA X-1
Reflector Effect : (Dep.U blanket -> SS reflector)
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-0.70%
-0.60%
-0.50%
-0.40%
-0.30%
-0.20%
-0.10%
0.00%
0.10%
0.20%
0.30%
0.40%
mu
-ave
.
elas
tic
mu
-ave
.
elas
tic
mu
-ave
.
elas
tic
inel
asti
c
mu
-ave
.
elas
tic
cap
ture
elas
tic
cap
ture
fiss
ion
cap
ture nu
fiss
ion
Na Al Cr-52 Fe-56 Fe-57 Ni-58 Ni-60 U235 Pu239 Others Total
FCA-X-1
FCA-X-2
0.992
0.994
0.996
0.998
1.000
1.002
1.004
1.006
FCA X-1 FCA X-2
C/E
valu
e
J40 MVP
J33 MVP
E70 MVP
E71 MVP
keff C/Es of FCA X-1 and X-2
Isotope- and reaction-wise contribution to the keff
C/E difference between ENDF-7.1 and JENDL-4.0
=> The replacement reactivity from U-238 blanket to SS reflector seems better evaluated
by JENDL-4.0 than by ENDF-7.1 by 300pcm. This difference is caused by the
negative reactivity from mu-ave. of Cr-52 and Na, and elastic of Fe-57, Ni-60, Al. 8
FCA X-1,2
9
ENDF/B-7.1 vs. JENDL-4.0:Structure material
Na-23 elastic
Cr-52 mu-ave.
Na-23 mu-ave.
Fe-57 elastic
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Reflector Effect : (Dep.UO2 blanket -> SS reflector)
Small core, Pu+Enriched. Uranium
JOYO Mk-I: Pu=17wt%、U235=23wt% , Nat. U blanket
JOYO Mk-II: Pu=28wt%、U235=12wt% , SS reflector
JOYO
-0.70
-0.60
-0.50
-0.40
-0.30
-0.20
-0.10
0.00
0.10
0.20
0.30
0.40
mu-
ave.
elas
tic
mu-
ave.
ela
stic
mu-
ave.
mu-
ave.
ela
stic
ela
stic
capt
ure
ela
stic
capt
ure
fiss
ion
mu-
ave.
fiss
ion nu
capt
ure
O-16 Na-23 Cr-52 Fe-56 Fe-57 Ni-58 Ni-60 U-235 U-238 Pu-239 Pu-240 Others Total
JOYO Mk-1
JOYO Mk-2
0.992
0.994
0.996
0.998
1.000
1.002
1.004
1.006
JOYO Mk-1 JOYO Mk-2
C/E
Valu
e
J40 MVP
E70 MVP
E71 MVP
keff C/Es of JOYO Mk-I and Mk-II
Isotope- and reaction-wise contribution to the keff
C/E difference between ENDF-7.1 and JENDL-4.0
=> The replacement reactivity from U-238 blanket to SS reflector resulted in the
positive change of keff for JENDL-4.0, which is larger than that of ENDF-7.1. This
difference is caused by the negative reactivity from mu-ave. of Cr-52 and Na, and
elastic of Fe-57, Ni-60, Fe-56. However, we cannot judge which library is favorable,
since the fuel compositions of the two cores are quite different, unlike the FCA case.
JOYO Mk-I, II
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Reflector Effect : (Dep.UO2 blanket -> SS reflector)
Concluding Remarks
1. From Los Alamos data, JENDL-4.0 seems better
than ENDF-7.1 about the summation of reflector
reactivity effect from inelastic, capture (+) and mu-
ave., elastic (-) of U-235.
Note that we cannot find which library is better for
individual reaction from this benchmark.
2. From FCA data, the replacement reactivity from
U-238 blanket to SS reflector seems better
evaluated by JENDL-4.0 than by ENDF-7.1, which
is caused by the negative reactivity from mu-ave. of
Cr-52 and Na, and elastic of Fe-57, Ni-60, Al. JOYO data shows similar trends for reflector effects, but
we cannot guess which library is favorable from JOYO,
because of the influence from core fuel compositions.
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