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Table of contents
1. Introduction .......................................................................................................... 3
2. AREVA idealized case. ........................................................................................ 5
2.1. Irradiation conditions ...................................................................................... 5
2.2. Simulation by means of the code TRANSURANUS ....................................... 6
2.2.1 Densification of fuel ................................................................................. 6
2.2.2 Swelling of fuel......................................................................................... 7
2.2.3 Fuel relocation ......................................................................................... 7
2.2.4 Cladding irradiation growth ...................................................................... 8
2.2.5 Fission gas release .................................................................................. 8
2.2.6 Cladding corrosion ................................................................................... 9
2.2.7 Recent extensions of the TRANSURANUS fuel performance code....... 10
2.3. Results and discussion ................................................................................. 11 3. US-PWR 16x16 LTA Extended Burnup Demonstration Program ....................... 13
3.1. Irradiation conditions and modeling .............................................................. 15
3.2. Results and comparison ............................................................................... 16
3.2.1 Rod burnup. ........................................................................................... 16
3.2.2 Cladding dimension change .................................................................. 17
3.2.3 Cladding corrosion. ................................................................................ 18
3.2.4 Fuel densification and swelling .............................................................. 20
3.3. Summary ...................................................................................................... 21
4. GINNA reactor experiment. ................................................................................ 22
4.1. Irradiation conditions and simulation ............................................................ 22
4.2. Results of TRANSURANUS simulation ........................................................ 25
4.2.1 Fuel Central Temperature and Fission Gas Release ............................. 25
4.3. Cladding creep down.................................................................................... 27
4.4. External Oxide thickness .............................................................................. 28
4.5. Pellet morphology ........................................................................................ 30
4.6. Summary ...................................................................................................... 33 5. Conclusions ........................................................................................................ 34
References ................................................................................................................ 35
3
1. Introduction
The present final report presents a part of the research work, done in the
Research Contract RC 15164, at the Institute for Nuclear Research and Nuclear
Energy (INRNE), Sofia in the frame of the CRP “Improvement of Computer codes
used for Fuel Behaviour Simulation-FUMEX-III” supported by IAEA.
According to the working program of the project the INRNE had to analyse the fuel
performance of WWER rods included into the CRP FUMEX-III as well as the Gd
doped fuel and the transient experiment Riso3, (rods II5 and GE7) and Kola3-MIR.
The rod H09 from experiment OSIRIS irradiated for 4 cycles in the EDF Cruas PWR
to a final burnup of 46 MWd/kgU was simulated too. The US-PWR 16x16 LTA
Extended Burnup Demonstration Program and the Siemens Corporation 14x14 lead
fuel assemblies, irradiated in the Ginna PWR for 5 cycles up to 58 MWD/kgU were
analysed too. The goal of these two programs is to demonstrate and evaluate the
potential of annular pellets and barrier cladding for resisting fuel failures due to pellet-
cladding interaction up to burnups of 60 MWd/kgU.
During the first year of the contract the team has worked on MIR ramp tests on Kola3
rods (Kola3-MIR experiment) by using the latest TRANSURANUS-WWER version
v1m1j09 [1] on the basis of the IFPE-OECD/ IAEA-NEA database [2]. Fuel rods
included in the tests have been operated under normal conditions at Kola NPP up to
maximum burnup of about 50 – 60 MWd/kgU. Nine re-fabricated rods have been cut
from selected FA‟s and carried out under single ramp conditions (RAMP test) and 2
step-by-step power increase tests with instrumented rods.
The attention was concentrated on:
Fuel central temperature during the ramp irradiation (FGR2-test).
Comparison between TRANSURANUS assessments and thermocouple records;
Pin pressure (FGR1-test). In-pile pressure measurements for two rod
with different accumulated burnup during base irradiation;
Fission gas release and gas mixture (from PIE);
Mcrostructure changes of the fuel-central hole closing and porosity
distribution.
4
The calculations were done for base irradiation as well as for the test irradiation,
using restart option of TRANSURANUS code for account rod cutting and refilling.
According to the working program of the project for the second year of contract
INRNE had to simulate and analyse the fuel performance of Gd doped fuel rods
(Experiment GAIN), PCMI cases (Riso3- GE7; OSIRIS-2, H09 ) as well as the
transient experiment Riso3, rod II5, included into the CRP FUMEX-III. The fuel rods
included in the tests have been operated under normal conditions up to average
burnup of about 40MWd/kgU (GAIN rods and Riso3-rods) and local burnup of about
50 MWd/kgU in OSIRIS-2 experiment. One rod Riso3-II5 rod was re-fabricated,
instrumented with thermocouple and pressure transducer, refilled up to 0.64MPa and
carried out under ramp conditions.
Main results of the study was:
Two rods with 3% and 7% Gd2O3 doped fuel have been simulated and
analysed. The fuel stack length changes and the axial distribution of the
cladding diameter as well as the fission gas release in the case of Gd doped
fuel were predicted with reasonable agreement.
The pin geometry changes (length and diameter) in the PCMI conditions and
outer clad oxide layer were simulated and compared.
The radial distribution of the retained Xe and other products after irradiation
(EPMA and micro gamma scanning data) were reproduced by
TRANSURANUS code and comparison with measured data revealed good
agreement.
The TRANSURANUS assessments of the fuel central temperature during
the ramp irradiation (Riso3-II5 irradiation) is very close to the thermocouple
data.
The present final report presents the TRANSURANUS prediction of the fuel&cladding
properties for the two USA experiments with different pellet design as well as the
idealized AREVA case from the FUMEX-III priority cases programme.
5
2. AREVA idealized case.
According to the working program, INRNE had to analyze an idealized case (AREVA
case) to illustrate the functional dependence of fission gas release predictions up to
high burnup conditions. In the present material, the TRANSURANUS analysis of the
AREVA idealised case is reported.
2.1. Irradiation conditions
The AREVA idealized case comprises data on linear heat rate and fast neutron flux
for 14 axial nodes and data of coolant temperature, coolant pressure and coolant
mass flow rate for every time step. The linear heat generation rates are defined in 54
steps, (entire time of irradiation is 2142 days) and ranged between 10 and 25 kW/m
without sharp transitions. Fast neutron flux is proportional to LHR with coefficient of
6.3*1012 n/(cm2s)(per kW/m).
Table 1: Input parameters used for definition of the initial state of the fuel rod in the simulated idealized case.
Fuel rod AREVA
Fuel stack length mm 3650
Number of axial slices 14
Plenum length mm 150
Eff. plenum volume cm3 8.06
Total free volume cm3 19.3
Fill gas He
Initial pressure (20 OC) MPa 1.6
Mean diam. gap µm 165
Fuel pellet
Dishing mm3 12.52
Surface roughness µm 1.0
Initial porosity % 5
Open porosity % 0.02
Porosity at end of
densification
% 3.98
Grain diameter (3D) µm 16.5
Initial content of 235U wt.% 4.5
Cladding material Zr-4
Outer diameter mm 9.5
6
Inner diameter mm 8.25
Surface roughness µm 1.0
Reactor type PWR
Fast neutron flux
(per linear heat rate)
n/(cm2s)
(per kW/m)
6.3*1012
Coolant pressure MPa 15.5
Distance between 2 rods. mm 12.6
2.2. Simulation by means of the code TRANSURANUS
The latest TRANSURANUS version v1m2j11 has been used to run the idealized
case AREVA – seven cycles of irradiation under normal operational conditions up
to.the rod average burnup of 80 MWD/kgU. The calculation has been performed by
standard TRANSURANUS models and options. The most important of these models
are briefly described below:
2.2.1 Densification of fuel
The fuel densification after start of irradiation and fuel swelling are two independent
physical processes that cause the density change. The fuel densification depends on
the fuel temperatures and started with irradiation and process stop up to burnup of
10MWd/kgU, depending of loaded power (temperature). The fission product swelling
of the fuel depends on burnup.
TU option IDENSI=2 starts an empirical densification model where the sinterable
porosity ∆P (i.e.the maximum densification) is derived from the initial grain size d
(µm) and the fractional fabrication porosity P0 [3].
∆P=P0 (2.23/d)
By selecting the option IDENSI=7, two MATPRO models FUDENS and FHOTPS [4]
are started and these correlations take into account both thermal and irradiation
induced densification as well as sintering contribution due the fuel hot pressure. This
MATPRO LWR model requires the average fabrication porosity of the fuel, the
maximum density change determined by a re-sintering test of 24 hours and the fuel
fabrication sintering temperature.
The simulation of the idealised AREVA case was performed by using the standard
UO2 fuel densification, maximum densification depends on grain size (grain size =
11μm).by simple empirical correlation.
7
2.2.2 Swelling of fuel
The standard swelling option (ModFuel(4)=20) uses the original MATPRO-11 model
[4], adopted for the TRANSURANUS code system by K. Lassmann. The standard
TRANSURANUS option for UO2 swelling treatment is the modified MATPRO LWR
model, which considers both the contributions due to gaseous fission products
(gaseous swelling) and to solid fission products (solid swelling).
According to this approach, the solid swelling is simply proportional to the Bu:
solidV b bu where b = 0.06%/MWd/kgU is model parameter, depending on
the density of heavy metals in the fuel.
As concerns the gaseous swelling, TRANSURANUS calculates the fuel volume
increment due to fission gases through a temperature and burn-up dependent simple
formula - (∆V/V)gas = c a(T)/k (1-e-kBu)
The second tested fuel swelling model is selected by ModFuel(4)=18. It is simple
empirical correlation that gives the total swelling rate for LWR, including swelling due
to solid and gaseous fission products. The increment of fractional volume is
proportional to the increase of the burnup.
(∆V/V) = S∆Bu where ∆Bu is the burnup increment during time step ∆t = tn-1-tn
S = 7.0x10-4 per MWd/kgHM is the swelling rate
2.2.3 Fuel relocation
Pellet cracking already occurs at start up due to the difference in the thermal
expansion of hot pellet centre and cold periphery. Pellet fragments moves outwards
because of the fuel rod vibration induced by the coolant motion. This pellet
“relocation” has a strong impact on the thermal behaviour. It reduces the pellet-
cladding gap size, thereby reducing the temperature levels in the fuel at the
beginning-of-life (BOL). Relocation of the fuel fragments induces the largest
contribution to the gap closure (approximately 30-50%). Because of the stochastic
nature of the cracking the relocation is subject of the largest uncertainty by gap
closure determining.
The recommended fuel relocation model (code option ireloc=8) is modified
FRAPCON 3 model, that assure strain increment due to relocation with linear heat
rating increasing.
8
The second model applied (ireloc=5) treated the relocation of fuel as a single (lump)
fuel volume increasing [5]. It is a simple model that calculates an equivalent
deformation, which increases the fuel radius and height just after going on power
2.2.4 Cladding irradiation growth
The standard for TRANSURANUS cladding swelling model (ModClad(4)=20)
calculates the irradiation growth of Zircaloy-4 cladding (in an annealed state)
according to correlation that determined strains in radial, tangential and axial
direction with specified texture coefficients [6]. The strains due to irradiation growth
are given as a function of the fast neutron fluence. Second tested correlation
(ModClad(4)=18) calculated the swelling of stress relieved Zircaloy-4 cladding [5].
Only axial component is defined and depend on the fast neutron fluence. Radial and
tangential components are set to zero.
2.2.5 Fission gas release
The standard approach for modelling fission gas release in the fuel performance
code TRANSURANUS can be described by three mechanisms that are treated in
parallel [7] [8]:
a) thermal release
Gaseous fission products are generated in the grains, migrate to the grain
boundaries and are released along the grain boundaries when these become
saturated. This leads to a concentration gradient towards the grain boundaries and a
diffusion process to the grain boundaries of the fission products are started. It is
modelled, applying an effective diffusion coefficient that depends on the local
temperature [9]
The concentration of the fission products at the grain boundaries is assumed to be
limited by a saturation value. When exceeding this saturation limit, the supplementary
fission gas reaching the grain boundaries is released to the free volume. The TU
code offers different values for the saturation limit (option igrbdm).
igrbdm=1 -- cgb ≤ 1x10-4 µmol/mm2 the limit of saturation coefficient is constant.
igrbdm=2 –Saturation concentration coefficient cgb depends on the fuel temperature
as 1/T.
9
igrbdm=3 - burst release of the gas grain boundary inventory due to micro-cracking
[10]. The complete release from grain boundaries is considered when thresholds for
local temperature (Tloc >1500(1-buloc/80)) and change of LHR
(Δq‟>3.5kW/m) in one time-step are fulfilled.
b) – athermal release during the whole irradiation
A temperature-independent (a-thermal) component of fission gas release is
calculated, applying the empirical relation:
a thermalf a bu
Here bu denotes the local burnup [MWd/kgHM] and a is an empirical coefficient
(6.17×10-5).
c) – athermal release from the high burn-up structure (HBS).
When the local accumulated burn-up in the fuel is over 60-75 MWd/kgHM, a
High-Burnup Structure (HBS) is formed. The TRANSURANUS model of HBS
implementation assumes a transfer of a fraction of the fission gas from the grains into
the HBS, driven by a burn-up dependent rate equation [11]. The fission gas is at first
retained in the HBS and as soon as the local burnup exceeds an additional empirical
threshold, the HBS is assumed to be saturated, i.e. all additionally arriving fission gas
is immediately released to the free volume. The present standard burnup value for
this threshold in TRANSURANUS code is 85 MWd/kgHM but there are a number of
experiments (High-burn-up Rim Project) [12,13] which show 100% retention of fission
gas in the HBS up to a burn-up of 100 MWd/kgHM. This “saturation approach” is still
a subject of discussions.
2.2.6 Cladding corrosion
Cladding corrosion rate mainly depends on outer cladding temperature, reaction
activation energy and fast neutron flux. Other parameters that can enhance or delay
corrosion are the coolant chemical environment (in particular dissolved lithium and
boron quantities) and the cladding chemical composition. Depend on reactor used
these parameters varied in large boundaries and cladding oxide layer prediction is
subject of the largest uncertainty.
Different outer cladding corrosion models available in the code were applied during
this investigation.
icorro=3 MATPRO BWR conditions
10
icorro=4 MATPRO PWR conditions
icorro=14, EPRI/C-E/KWU model for PWR conditions14
2.2.7 Recent extensions of the TRANSURANUS fuel performance code
The extended TRANSURANUS version comprises new model for the kinetics of grain
growth in both UO2 and MOX fuels and models for the production, transport and
release of the He.
The grain growth model was refined on the basis of the recently executed
experiments for UO2 fuel and MOX fuel as well. New kinetic coefficient was derived
from the series of experiments and a comparison has been made with earlier
simulations that had applied a kinetic coefficient derived from mean linear intercepts.
Only at high fuel temperatures, there is a small influence of the grain growth
simulation on operational quantities.
A preliminary model for production, transport and release of He has been included in
TRANSURANUS code [15]. Its approach is analogous to that taken for simulating the
behaviour of Xe and Kr, i.e. assuming diffusion to the surface of spherical grains,
followed by release to the free volume. The average value of the diffusion coefficients
given in [16,] 17,18] was applied. The release of He from the grain boundaries to the
free volume is treated according to the findings in 19
The last TRANSURANUS version was applied for AREVA case simulation with
standard code options and models (see table).
Table: The main option of the AREVA case simulation.
Model Description
Fission gas release URGAS algorithm, with thermal diffusion
coefficients of Matzke and constant athermal
diffusion coefficient. (fgrmod=6)
Saturation limit for concentration
of grain boundary gas igrdbm=1
Constant value, standard for the code.
Threshold burnup for FGR from
the HBS (MWd/tU)
Standard for the PWR-RRR1=85MWd/kgU,
Fuel densific. at BOL idensi=2 Simple empirical model.
Cladding creep rate
ModClad(7)=20
Lassmann-Moreno model of Zircaloy effective
creep rate calculation.
Irradiation growth of the cladding
ModCladl(4)=20
Standard for the code
UO2 material properties Standard TU models for the UO2
11
Standard for PWR fuel swelling
model ModFuel(4)=20
Swelling rate for LWR fuel
Thermal conductivity of the fuel,
ModFuel(6)=21
The standard TU correlation for UO2,
accounting for the local porosity.
Fuel relocation model
ireloc=8
Modified FRAPCON 3 model
Corrosion model icorro=4 MATPRO model (PWR conditions)
2.3. Results and discussion
The fuel centre temperature calculated according data of irradiation power and code
models shows normal conditions without any rapid perturbation and it is lower than
1000oC. After fourth cycle of irradiation (Bu>45 MWd/kgU) nevertheless linear heat
rate decreasing the fuel centre temperature arises up to 1100oC. The main reason for
fuel temperature Increasing is fuel thermal conductivity degradation at higher burnup.
Fig. 2.1. Irradiation power and predicted fuel centre temperature.
Results of the idealized case simulation illustrate the code prediction for FGR as a
function of burnup up to 80 MWd/kgU. The calculations (Error! Reference source
not found.) demonstrate that the TRANSURANUS code can predict a smooth
development of FGR up to 80 MWd/kgU without any instability.
200
400
600
800
1000
1200
0 20000 40000 600000
5
10
15
20
25
Fuel Centre TemperatureLinear Heat Rate
LHR
Time (h)
Te
mper
atur
e (o C
)
Line
ar H
eat
Rate
(kW
/m)
AREVA idealized case
12
Fig. 2.2. Irradiation power and fission gas release v/s burnup
The black line presents code predicted gas release after third, fourth and seventh
cycles of irradiation. The results are compared with the expected results (red points),
according the authors of this idealised case.
The calculated and expected burnups of this case are compared in the next figure.
.Fig. 2.3. Evolution of the averaged rod burnup, compared with expected values.
0
5
10
15
20
25
0 20 40 60 800
4
8
12
Data ExpectedFGR predictedLHR
Burnup, MWd/kgU
Line
ar H
eat
Rate
, [k
W/m]
Fiss
ion
gas
rele
ase,
[%]
AREVA idealized case
0
20
40
60
80
100
0 20000 40000 60000
Data ExpectedTU predicted
Time (h)
Ro
d Av
erag
e Bu
rnup
, [M
Wd/k
gU]
AREVA idealized case
13
Growth of the fuel grains does not observed, most probably by reason of relatively
low fuel temperature. The calculated RIM zone width reaches 1.26 mm and
according the TRANSURANUS model high burnup structure development starts
above local burnup of 40MWd/kgU. Local burnup is averaged along pellet radius.
The result of high burnup structure for the middle of the rod (7th slice) is presented
below.
Fig. 2.4 Thickness of the fully develop HBS as is predicted by the TU model.
The idealised case, provided by AREVA is a good opportunity to test code models
and compare the results with other fuel performance codes.
3. US-PWR 16x16 LTA Extended Burnup Demonstration Program
The objective of this program was to demonstrate improved nuclear fuel utilization
through more efficient fuel design and barrier cladding and increased discharge
burnup (up to 58MWd/kgU). The standard fuel rod design consists of enriched
(3.48%) UO2 solid cylindrical pellets, stainless steel compression spring and Al
spacer disc at each end of the fuel column. In additional to the standard design fuel
0
0.4
0.8
1.2
1.6
0 10 20 30 40 50 60 70 80 90
TRANSURANUS prediction
Local Burnup in slice 7 [MWd/kgU]
T
hick
ness
of
HBS,
ful
ly d
evel
oped
(m
m)
AREVA idealized case
14
rod two different design concepts were included in a limited number of rods in the
test assembly:
a) an annular fuel pellet design,
b) cladding with graphite coating (~ 8 μm thickness) on the interior surface.
The test matrix included in IFPE data base consisted of 8 full length fuel rods with
different combinations of solid and annular pellets as well as standard and inside
coated cladding. One segmented rod (9segments) is presented in the database but
the segment's power is not clearly defined and it is not included in this investigation.
The full length rods were irradiated to an assembly and lead rod average burnups of
52 and 58 MWd/kgU.
Rod
identifier
Rod type
Pellet/cladding
Rod average burnup
[MWD/kdU]
TSQ002 Standard/Standard 53.2
TSQ004 Standard/Standard 50.5
TSQ022 Annular/Standard 58.1
TSQ024 Annular/Standard 54.7
TSQ044 Standard/ID Coated 52.5
TSQ053 Standard/ID Coated 58.1
TSQ061 Annular/ID Coated 55.5
TSQ064 Annular/ID Coated 55.6
The rods of interest (FUMEX-III priority cases) are TSQ002 and TSQ22 - full length
fuel rods with solid and annular pellets of enriched (3.48%) UO2, standard Zircaloy-4
cladding and the same cladding-fuel gap, fuel stack length and filling gas pressure of
2.62 MPa. The linear heat generation rates ranged between 10 and 25 kW/m without
sharp transitions. The rod power and burnup histories were determined for 25 slices
and included in the database. Both poolside (non-destructive) and hot cell (destructive) post irradiation
examinations (PIE) of selected rods have been done. Poolside examinations of the
LTAs included visual inspection, dimensional measurements, eddy currant testing
(ECT), and waterside corrosion thickness measurement. Hot cell fuel rod PIE
included void volume measurements, fill gas analyses, cladding visual inspections,
dimensional measurements, neutron radiography, and gamma scanning.
The IFPE database comprises PIE data on:
void volume measurement and gas release volume assessment;
15
cladding outer diameter measurements;
outer cladding oxide thickness;
Grain size measurements for two rods are presented too but there are
not pre-irradiation measurements of grain size and the comparison with
calculations without the initial exact grain size is meaningless. In the report
there is data that grain size is about (7-12) μm and for the purposes of
simulation the value of 10 μm was taken.
The bulk density assessment after irradiation for two rods afforded an
opportunity to assess the fuel swelling. There is no measured data about fuel
stack length and this is a serious obstacle for reasonable assessment of the
fuel swelling.
3.1. Irradiation conditions and modeling
The rods were simulated using standard for code options and standard fuel and
cladding models. Instead of the modified FRAPCON 3 relocation model (standard)
the incorporated in the code KWU relocation model was applied.
The TRANSURANUS simulation of the FGR includes standard options: URGAS
algorithm with thermal diffusion coefficient of Matzke [9]; thermal FGR simulated by
linear dependence of burnup.[7]; the intergranular gas release model with standard
saturation limit for the gas boundary concentration was applied.[8]; the burnup
threshold for enhanced gas release from HBS was set to 100 MWd/kgU.
Outer oxide layer was simulated with MATPRO corrosion model for PWR conditions.
In addition the same model for BWR conditions was tested for comparison only.
Dish volume and end chamfers corrections were assessed on the base of data from
the Appendix 3 and table 4.2.2.of the report included in the database. Fraction of dish
volume+chamfer = 0.0228(/) for the solid pellets, and fraction of chamfer= 0.014(/) for
the annular pellets was applied. The plenum length for each test rod was fitted to
meet the measured initial rod void volume.
For two rods TSQ002(std\std) and TSQ022(ann/std) the pre-irradiated fuel density
was measured (95.3%TD and 94.8%TD) and it is somewhat different from the value
in the file 'Pre-Characterization' (95%TD). The exact value of pellet density of
standard and annular pellets was taken.
16
The power evolution for two rods with different pellet design is very similar and FCT
of the rod TSQ002 with solid pellets is higher.
Fig. 3.1LHR comparison of two rods Fig. 3.2. Predicted FCT for two rods
3.2. Results and comparison
3.2.1 Rod burnup.
Results of burnup prediction by means of the TRANSURANUS code for eight full
length rods are compared with the results of measurement.
Fig. 3.3. TRANSURANUS predicted average fuel rod burnup v/s measured.
The burnup is systematically under-predicted by the code less than 5%. The possible
non detected variation of local LHR as well as the manufacturing uncertainties on the
0
10
20
30
0 10000 20000 30000 40000
TSQ022, annular pelletsTSQ002, solid pellets
Time (h)
L
ine
ar
He
at
Ra
te (
W/m
m)
16x16 US PWR exp. Linear heat rate at the midlle of the rods ( sl.13)
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
0 10000 20000 30000 40000
TSQ022, annular pelletsTSQ002, solid pellets
Time (h)
F
ue
l C
en
tra
l T
em
pe
ratu
re (
oC
)
Fuel temperature in the pellet centre (13 sl.)
30
40
50
60
70
30 40 50 60 70
-5%
TSQ053
Burnup measured (MWd/kgU)
Bu
rnu
p c
alc
ula
ted
( M
Wd
/kg
U)
US-PWR-16x16 LTA Program
17
pellet density, dimensions and enrichment result in observed difference predicted v/s
measured burnup.
3.2.2 Cladding dimension change
The cladding diameter change was applied as a reference by choosing optional set
of models. The difference in pellet design (solid and annular pellets) leads to different
FCT and as a consequence different thermal expansion, FGR and gap conductance.
It might be expected that the relocation of pellet column would be different for the
solid and annular pellets. Two TRANSURANUS relocation models (modified
FRAPCON and KWU-LWR model) were tested and corresponding affect the fuel rod
dimensions was compared with experimental data. The comparison revealed that in
both cases fuel stack of annular pellet as well as of solid pellet the fuel relocation
model KWU-LWR is preferable. With standard FRAPCON relocation model the
pellet-cladding gap closures earlier and cladding creep down is smaller.
The experimental data on cladding outer diameter change along the fuel stack,
corrected for oxide layer for the rods with different pellet design and standard
cladding are compared with code predictions. The results are presented in the Fig.
3.4 (solid pellets) and Fig. 3.5 (annular pellets).
Fig. 3.4.Comparison of the outer cladding diameter predicted by
TRANSURANUS code and rod dimensional measurements of rod TSQ002.
9.56
9.58
9.60
9.62
9.64
9.66
9.68
9.70
9.72
9.74
0 1000 2000 3000 4000
r02, exp. dataTU prediction, solid pelletsinitial
Axial Position (mm)
Cla
d O
ute
r D
iam
ete
r (m
m)
US PWR 16x16, Rod TSQ002, solid pellets
18
Fig. 3.5. Outer cladding diameter change of the rod TSQ022 with annular
pellets, compared with dimensional measurements.
The TRASURANUS code predicted well cladding creep of rods with solid and
annular pellets and standard Zircaloy cladding.
3.2.3 Cladding corrosion.
Cladding corrosion depends strongly of the coolant temperature, time of irradiation,
cladding composition and method of preparation as well as coolant chemistry.
The IFPE database comprises data on cladding corrosion from poolside
examinations, eddy currant testing (ECT) and waterside oxide measurement. Hot sell
fuel rod PIE provided data on oxide layer by metallographic measurements. The
oxide layer thickness for 7 rods included in the IFPE database is corrected based on
these two types of oxide measurements.
The cladding corrosion for the tested rods was simulated by the standard MATPRO
corrosion model of Zyrcaloy-4 cladding for PWR conditions. The MATPRO corrosion
model for BWR conditions was tested too.
9.56
9.58
9.60
9.62
9.64
9.66
9.68
9.70
9.72
9.74
0 1000 2000 3000 4000
exp. dataTU prediction, annular pellets
initial
Axial Position (mm)
Cla
d O
ute
r D
iam
ete
r (m
m)
US PWR 16x16, RodTSQ022, annular pellets
19
Fig. 3.6 Fig. Measured and calculated oxide thickness along fuel rod length.
Fuel rod TSQ002 with solid pellets and standard Zircaloy cladding.
Fig. 3.7 Fig. Measured and calculated oxide thickness along fuel rod length.
Fuel rod TSQ022 with annular pellets and Zircaloy cladding.
0
20
40
60
80
100
0 1000 2000 3000 4000
BWR-MATPRO corrosion modelPWR-MATPRO corrosion modelexp
MATPRO-BWR
MATPRO
Axial position (mm)
Ou
ter
Cla
d O
xid
e T
hic
kn
ess (
m)
TSQ002
0
20
40
60
80
100
0 1000 2000 3000 4000
BWR MATPRO corrosion model PWR MATPRO corrosion modelexp.
Axial Position (mm)
Ou
ter
Cla
d O
xid
e T
hic
kn
ess (
m)
TSQ022
20
Pellet type (annular or solid) is not expected, to influence water side corrosion
because it depends strongly on coolant temperature. The small difference in
measured oxide thickness for the rods with solid and annular pellets is most probably
caused with difference in Burnup at EOL.
The TRANSURANUS MATPRO models for Zircaloy corrosion were calibrated for the
PWR or BWR conditions, but the corrosion rate of the Zr allow depends on many
other cladding properties as differences in composition and/or fabrication processing
or hydrogen pick-up. Depend on reactor used these parameters varied in large
boundaries and cladding oxide layer prediction is subject of the largest uncertainty.
3.2.4 Fuel densification and swelling
The fuel densification after start of irradiation and fuel swelling are two independent
physical processes that cause the density change. The fuel densification depends on
the fuel temperatures and started with irradiation and process stop up to burnup of
10MWd/kgU, depending of loaded power (temperature). The fission product swelling
of the fuel depends on burnup. The measured as well as the predicted density
difference ( Δρ = ρEOL(%TD) – ρBOL(%TD)) is negative for both solid and annular
pellets.
TU simulation of density change included standard for LWR fuel swelling model and
empirical rate of the densification [3].
At 3 different axial positions (3, 13 and 14 slices), the density of solid fuel pellets
(Rod TSQ002) was measured both - pre-irradiation and at EOL. Annular pellets from
rod TSQ022 were examined at two axial position and data are included in the IFPE
database (Appendix 7of the 20)
The experimental density was determined by weighing. The predicted by means of
TRANSURANUS code density was assessed from pellet radial density distribution by
averaging over 60 radial coarse zones using weight for different zones.
The measured and the TU predicted data of the pellet volume change are displayed
in the Error! Reference source not found..
21
Fig.3.8. Pellet volume change v/s local burnup. Comparison with the measured
data.
To obtain the trend of the curve of fuel swelling with burnup, the calculations were
performed in the wide burnup range and this calculated data are presented in the
figure. The change of pellet volume ΔV/V (%) as an assessment of the densification
and swelling was calculated from the changes of the pellet radius as well as pellet
height, after extracting increment due to relocation. The presented data correlate with
the several measured points.
3.3. Summary
Fuel rods with both solid and annular pellets are simulated by means of
TRANSURANUS code without any significant differences in the results.
The rod average burnup predictions are underestimated by less than 5%.
The cladding creep simulation is in good agreement with experimental
measurements for both rods with annual as well as solid pellets.
The peak and averaged oxide thickness is underestimated with standard
MATPRO corrosion model for PWR conditions.
-3
-2
-1
0
1
2
3
4
5
0 20 40 60
exp.data, annular pelletsTu calcexp.data, solid pellets
annular pellets
solid pellets
Burnup, (MWd/kgU)
V/V
(%
)
TSQ002 (stand/stand.)&TSQ022(annular/stad.)
22
4. GINNA reactor experiment.
4.1. Irradiation conditions and simulation
Siemens Power Corporation 14x14 Lead fuel assemblies were irradiated in PWR
GINNA reactor up to 60MWd/kgU. The goal of the program was to demonstrate and
evaluate the potential of annular pellets and zirconium barrier cladding for resisting
fuel failures due to pellet-cladding interaction. The annular pellets were designed to
operate at lower FCT and to better accommodate pellet restructuring and FGR. Since
the hole represents about 10% of the total pellet volume, annular pellet are U-235
enriched about 10% higher than comparable solid pellets (3,71% and 3.35%
respectively). Two segmented rods differ only in pellet diameter and that were used
to vary the pellet- cladding gaps. Barrier cladding was designed with a Zr inner layer to minimize PCI and to improve
resistance of the cladding to stress corrosion cracking. The inner Zr layer comprises
about 10% of the total wall thickness, the overall cladding dimensions are the same
as standard cladding. The Zr barrier is fully bonded to the Zircaloy to ensure good
heat transfer properties.
Each segmented rod consisted of 4 segments, located symmetrically at the centre.
Power and burnup accumulated in the two central rodlets were nearly the same for
all segmented rods. The EOL Burnup and Fluence were nearly uniform along length
of the central rodlets. The data base comprises 8 segmented rodlets with different
combinations of solid and annular pellets, standard and barrier cladding and
controlled variations in pellet to cladding gap. 3 rodlets were irradiated for 4 cycles up
to average burnup 42.5 MWd/kgU, and 5 rodlets -for 5 cycles up to average Bu=52
MWd/kgU. The FUMEX-III priority cases program covers two rods, rod2 with fuel
solid pellets and rod4 with annular pellets and standard Zyrcaloy-4 cladding which
were irradiated 5 cycles up to 52MWd/kgU. Linear Heat Rate at central rodlets
ranged from 8 to 34kW/m.
The PIE included data on fuel column elongation, cladding creep down and fission
gas release. The burnup was determined by LHR distribution and FGR was
measured by puncturing the cladding at the plenum level and measuring the gas
pressure in a chamber of known volume sealed around the plenum region of the
rodlets. Gamma scanning was perform on 5 of the irradiated rodlets to measured fuel
column height and to visualize the presence of pellets and to obtain information of
23
any axial pellet gaps. Six axial profilometry scans, each 30 degrees apart radially,
were made in the hotcells. Rod average diameter and rod ovality were determined
from the scans.
In order to select models for code simulation the following TU parameters have been
chosen for testing: Fuel relocation model and axial PCMI condition.
The difference in pellet design (solid and annular pellets) leads to different FCT and
as a consequence different thermal expansion, FGR and gap conductance. The
friction forces between pellet and cladding suppose to be different and fuel column
relocation has to be accordingly modelled. The experiment offers data for fuel column
elongation and cladding outer radius and they are taken as reference to chose
appropriate relocation model. TRANSURANUS owns different optional models to
describe the phenomena relocation affecting the fuel rod dimensions. The main
models are modified FRAPCON-3 model (the contribution from relocation is
accounted by circumferential strain component as a linear function of LHR) and
modified KWU-LWR model (simple model treating the relocation as a single (lump)
fuel volume increasing at the BOL [5]. Fuel column increasing determined by gamma
scanning of rodlets was used as a test of these two relocation models.(see Fig.4.1).
Fig.4.1. Comparison of the measured fuel axial deformation and code
predictions with two relocation models in the case of solid as well as annular pellets.
0
4
8
12
0 4 8 12
std.reloc. modelKWU reloc.model
annular solid
Measured Fuel Stack Elongation (mm)
Pre
dic
ted
Fu
el S
tack E
lon
ga
tio
n (
mm
)
GINNA. Rod 2 (solid pellets) and Rod 4 (annular pellets)
24
The fuel column elongation is under-predicted by the code if standard relocation
model (FRAPCON-3 modified model) is applied in the cases with the different pellet
design. With modified KWU relocation model the annular pellet fuel column is over
predicted (21%) and solid pellet fuel stack is under-predicted (27%). Pellet relocation
influence on gap size and consequently on fuel temperature and FGR as well as the
cladding diameter change.
PCMI conditions arises after gap closing and one should supposed different
friction forces for the two type of pellet design. The TRANSURANUS code owns two
possibilities to assess and include axial friction forces in the case of pellet cladding
contact.
-'No slip'[21] conditions for the axial PCMI
-URFRIC model for the calculation of the axial friction forces [22].
The simulations with and without URFRIC model revealed that there is no significant
influence of friction forces modelling on the cladding dimensions, and consequently
the temperature and FGR. Both cases are simulated without URFRIC model
implementation. The TRANSURANUS models and options chosen for the GINNA
rods simulation are listed in the next table.
Table. Set of models used in TRANSURANUS simulations of the GINNA experiment
Model Description
Fission gas release URGAS algorithm, with thermal diffusion coefficients
of Matzke (fgrmod=6).
Saturation limit for gas
concentration of grain boundary
The temperature dependence of the grain
boundary saturation concentration (igrbdm=2)
Burnup threshold for FGR from
the RIM zone [MWd/tU]
RRR1=100000 MWd/kgU,
Fuel Densification model Simple empirical densification model (idensi=2).
Cladding creep rate ModClad(7)=20, standard for Zyrcaloy
UO2 material properties Standard TU models for the UO2
Thermal conductivity of the fuel The standard TU correlation for UO2 and (U,Gd)O
2 ,
accounting for the local porosity ModFuel(6)=21.
Fuel relocation model Modified KWU-LWR model(ireloc=5)
Axial friction force model Axial friction forces are not calculated (ixmode=0).
Corrosion model EPRI/C-E/KWU model (icorro=14)
25
4.2. Results of TRANSURANUS simulation
The results of TRANSURANUS code calculations with above set of options are
presented in the table.
Table. Comparison of the experimental data for the FGR, pressure, fuel column
elongation and diameter change with outcome of code simulations.
R2-solid pellets R4-annular pellets
Predicted Exp.data Predicted Exp.data
Bu averaged
MWd/kgU
50.7 51.7 56.6 57.0
FGR [%]
3.06 2.36 0.91 0.92
Inner Press
[MPa]
3.00 2.88 2.47 2.32
Void Volume
at EOL [cc]
4.18 3.8 7.04 7.00
∆D [mm]
-0.056 -0.091 -0.066 -0.097
∆Lclad [mm] 1.80 -
1.9 -
∆Lfuel [mm] 5.23 7.3
5.7 4.7
Oxide layer
[µm]
16.7 14 ÷ 41 23.9 16 ÷ 39
4.2.1 Fuel Central Temperature and Fission Gas Release
The fuel central temperature of two rods as predicted by the code indicates a
temperature difference of up to 300oC. Experimental data for the real temperature
difference is not available.
26
Fig. 4.2. Predicted Fuel Centre Temperature for two rods with different pellet
design.
The measured by rodlet puncturing fission gas release and FGR calculated by
means of TRANSURANUS code are pictured in the next figure.
Fig. 4.3. Comparison of the Fission Gas Release as a function of burnup with
puncturing results.
0
500
1000
1500
0 10000 20000 30000 40000
R2-solid pelletsR4-annular pellet
Time (h)
Fu
el C
en
tra
l T
em
pe
ratu
re (
oC
)
GINNA exp. Rod 2(solid pellets) and Rod 4 (annular pellets)
0
1
2
3
4
0 20 40 60
r2, exp.datar2, solid pelletsr4, exp.datar4, annular pellets
Average Burnup (MWd/kgU)
Fis
sio
n G
as R
ele
ase
(%
)
GINNA exp. Annular and solid pellets rods
27
4.3. Cladding creep down
The outcome of this experiment 23 revealed for all rod design variations the cladding
creep down was essentially the same. After 4 cycles of irradiation diameter decrease
over fuel region of cladding of 90-101 μm was detected. During 5th cycle the solid
pellet rodlet cladding experienced a creep down reversal of ~10 μm., suggesting for
solid contact between the pellets and cladding. The creep rate of cladding in the
fuelled sections of annular pellet rodlets diminished during the fifth cycle of
irradiation. A comparison of creep down in the plenum sections and the fuelled
sections indicates that creep reversal took place during fifth cycle for annular pellets
as well, and that hard pellet-to-clad contact in the annular pellet rods was
established.
These two rods Rod2 and Rod4 are with identical cladding material and initial gap
(180µm). There is no noticeable difference between the measured cladding creep
down for two pins with different pellet design.
Fig. 4.4. Comparison of the cladding creep down for two rods.
The measured cladding creep down is about 100 µm and the predicted one is 60-
70µm. The diameter decrease of the rod with annular pellets is slightly higher than
the cladding decrease of rod with solid pellets as it is reproduced by the code.
10.4
10.5
10.6
10.7
0 200 400 600
initialr4, calculatedr4, exp.r2-expr2-calculated
calc.
exp.
Axial position (mm)
Clad
Out
er D
iame
ter
(m
m)
GINNA exp. Rod 2 (solid pellets) and Rod 4 (annular pellets)
28
4.4. External Oxide thickness
Cladding corrosion rate mainly depends on outer cladding temperature, reaction
activation energy and fast neutron flux. Other parameters that can enhance or delay
corrosion are the coolant chemical environment (in particular dissolved lithium and
boron quantities) and the cladding chemical composition. Depend on reactor used
these parameters varied in large boundaries and cladding oxide layer prediction is
subject of the largest uncertainty.
One of the conclusions made in this experiment is that the corrosion rate of the
standard cladding appeared to be higher than the corrosion rate of barrier cladding.
Small differences in composition and/or fabrication processing or differences in
hydrogen pick-up and hydride distribution could be possible causes.
Different outer cladding corrosion models available in the code were applied during
this investigation and the EPRI/C-E/KWU water side corrosion model 24 for PWR
conditions was chosen for the GINNA rods simulation. Calculated outer cladding
oxide layer of different rods compared with measured is presented on next two
figures.
Fig. 4.5. Oxide outer cladding thickness of the Rod2 with solid fuel pellets –
measured and predicted.
In order to facilitate the experiment-calculation relationship, the experimental data
was fitted by linear function (blue line).
0
0.01
0.02
0.03
0.04
0.05
0 200 400 600
KWU model, 5 cyclesfit of exp. data: y = +3.79E-5x
1 +0.016
exp. data after 5 cycles
Axial Position (mm)
O
xid
e O
ute
r C
lad
din
g T
hic
kne
ss
(mm
)
GINNA exp, Rod2
29
Fig. 4.6. Comparison of the calculated end measured oxide layer for Rod4 with
annular pellets
In the vicinity of FA spacers, where coolant mixing tends to lower the clad
temperature and the oxidation by the coolant is reduced. This tendency is expressed
in the case of Rod4 – the oxide layer is thicker in middle of the height of the segment
(Fig. 4.6). The similarity in oxide thickness among the different fuel rod types is not
surprising since the waterside surface in all cases is Zircaloy 4. Pellet type (annular
or solid) is not expected to influence waterside corrosion (oxide thickness), because
it depends strongly of the coolant temperature and therefore of the axial localization
of segmented rodlet (upper or lower central part of the full length rod). For instance
on the next picture the prescribed coolant temperature or two five cycles rods is
compared. Rod2 is located in lower central part of the segmented rod and the rod4 is
located in upper part and respectively the averaged coolant temperature is different
(see Fig. 4.7). The thicker oxide layer was observed for the Rod4 with higher
temperature.
0
0.01
0.02
0.03
0.04
0.05
0 200 400 600
r4, calc. KWU corrosion model r4, exp.data
Axial Position (mm)
Oxi
de
ou
ter
cla
dd
ing
th
ickn
ess
(m
m)
Annular pellet, Standard Cladding, Normal gap.
30
Fig. 4.7. The coolant temperature v/s time of irradiation, prescribed in the IFPE
database
4.5. Pellet morphology
Pellet morphology was studied in detail for both solid and annular pellets. Cracking
was observed in the pellets of all ceramographically examined rods. The central hole
in the annular pellet tended to promote the formation of radial cracks, while cracking
in the solid pellets seemed to occur in a random pattern. The morphology of solid and
annular pellets was essentially the same. The hole of the annular pellets was fully
preserved and free of fuel fragments and the dishes of the solid pellets remained fully
visible.
Ceramographs with a magnification of up to 1000X were used to characterize the
patterns of fission gas precipitation within, and at the boundaries of, the UO2 crystal
grains. The zones have been differentiated by the UO2 grain size and porosity
distribution within and between grain boundaries.
A pellet RIM zone – 50 -70 microns wide (r/r0=0.99) characterised by indistinct grain
boundaries and very high porosity were established. In this zone high Pu
concentration and relatively high burnup, were revealed too.
A band of about 200µm wide corresponding to the transition from zone with not very
numerous intragranular pores and fission gas at the grain boundaries to the zone
250
270
290
310
330
0 10000 20000 30000
average, r2average, r4
Cumulative Time (hours)
Co
ola
nt
Te
mp
era
ture
[o
C]
Coolant Temperature [oC] as given in IFPE data base for the rods r2(SSN5) and r4(ASN5)
31
where fine and numerous fission gas bubbles appears is named transition and it
radial location was determined experimentally.
The radial location of corresponding transition zone in the pellets simulation was
determined from the calculated gaseous porosity along the pellet radius. The
calculated gaseous porosity does not include the porosity in high burnup structure
because it is too high and transition zone gets invisible.
The location of transition zone was assessed as a centre of zone of transition
between two zones with different rate of porosity growth and present in the table.
The radial distributions of the gaseous porosity for two pellet designs are pictured on
Error! Reference source not found.
Fig.4.8. The predicted radial profile of the gaseous porosity of Rod2 (solid
pellets). and experimentally observed border of starting enhanced gaseous swelling
of the pellet
0
0.002
0.004
0.006
0.008
0.010
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
exp.data, r/r0 =0.62
gaseous porosity
Radial Position (mm)
Ga
se
ou
s P
oro
sity
( /
)
GINNA exp., Rod2, solid pellets
32
Fig.4.9. Predicted radial profile of the gaseous porosity for the annual pellet and
experimentally determined radial position of the transition zone.
The experimentally assessed outer radial border of region with copious intragranular
fission gas bubbles in the case of annular pellet is pointed on Fig.Error! Reference
source not found. for comparison.
The radial location of the transition zone determined from the calculated porosity
distribution as well as experimentally observed border of the transition zone are
represented in the table.
Table. Radial location (r/r0) of the transition to intragranular fine fission gas bubble
formation. Last column present the wide of calculated zone with high burnup
structure.
Rodlet
number
r/r0 –
exp
r/r0-
calc
Bu
calc.
RIM
[μm]
R2 - SSN5 0.62 0.62 50.6 67
R3 – ASN4 0.58 0.59 47.2 33
R4 – ASN5 0.60 0.62 56.6 124
R5 – AZN4 0.58 0.59 46.6 36
R6 – AZN5 0.64 0.59 56.2 120
R8 – AZW5 0.62 0.65 57.2 131
R9 – AZM5 0.60 0.59 54.9 100
0
0.001
0.002
0.003
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1
gaseous porosityexp.data, r/r
0=0.60
Radial Position (mm)
G
ase
ou
s
Po
rosity
(/
)
GINNA exp, Rod4-annular pellets
33
The width of RIM zone (fully developed) was calculated and presented in the table
below. Experiment gave RIM zone width of 50-70 μm.
4.6. Summary
Eight segmented rodlets with different combinations of solid and annular pellets,
standard Zircaloy-4 and barrier cladding with inner pure Zr layer were examined after
irradiation of four or five cycles. These rodlets were modelled and results of
TRANSURANUS code simulation are compared with experimental ones.
The results of TRANSURANUS code simulation of all eight rods are consistent with
the expectation concerning pellet design and different gap size.
The measured cladding creep down is about 100 µm and the predicted one is 60-
70µm. The diameter decrease of the rod with annular pellets is slightly higher than
the cladding decrease of rod with solid pellets as it is reproduced by the code
External oxide thickness was found to reach a maximum of 40 to 42 μm for standard
cladding after five cycles of irradiation. The corrosion rate of the standard cladding
appears to be higher than the corrosion rate of barrier cladding but the lower
maximum external oxide thickness of barrier clad cannot be directly attributed to the
presence of the Zr layer. In TRANSURANUS simulations the KWU corrosion model
was applied in the both cases standard and barrier cladding and hence very similar
results were calculated. The comparison with the not uniform measured oxide layers
shows good coincidence.
The pellet morphology was studied in detail for both solid and annular pellet and it
was found that fuel structure at EOL is essentially the same. Experimentally was
determined the radial location of border of enhanced porosity growth and start of
significant fuel swelling. Radial location of this border was compared with calculated
by code radial distribution of gaseous porosity and a good coincidence was pointed
out.
The annular-pellet design performed well throuth five cycles of irradiation and an
assembly birnup of 52MWd/kgU. The simulations by the means of TRANSURANUS
code reproduced the main features of new design and confirmed its advance
possibilities for greater margins of operation at higher burnup.
34
5. Conclusions
The TRANSURANUS code ability to predict the fuel performance was demonstrated
based on the IFPE database of the OECD/NEA within the CRP“Improvement of
models used for fuel behaviour simulation” (FUMEX-III). The last TRANSURANUS
code version was applied to run simulation of fuel rod performance under steady
state operation condition, transient power ramps as well as a variety type of fuel and
cladding. From the present status of the TRANSURANUS computations the following
general conclusions can be drawn when analyse the fuel performance of WWER
rods as well as the Gd doped fuel and the transient experiments Riso3, (rods II5 and
GE7) and KOLA3-MIR.
The TRANSURANUS fuel performance code is mature and can deal with fuel
behaviour up to high burnup,no numerical problems arose in the simulations of
the LWR fuel behaviour.
The TRANSURANUS rod averaged burnup predictions are in very good
agreement with data of measurement. In general, all the calculation fairly falls
into, or quite close, to the ±5% lines. The non-detected variations of LHR
during operation as well as the manufacturing uncertainties on pellet density,
dimensions and enrichment result in spread of the measured burnup.
The agreement between calculated and measured fuel centre temperatures in
ramp tests of re-fabricated fuel rods is very satisfactory for all re-irradiated
cases, except for the Rod 50 from Kola3-MIR experiment, where the
thermocouple of the re-fabricated rod broked down during the first stage of
test irradiation. The data recorded before the failure noticeably overestimated
the calculated temperatures.
Fission gas release, predicted by means of TRANSURANUS code after
steady-state operation is in very good agreement with measured by rod
puncturing FGR at EOL for all cases. Two USA experiments with rods with
different fuel pellet design, with central hole and without it demonstrated that
rod with solid pellets release more gases than the rod with central hole in
pellet. TU reproduced these results. The FGR data after power ramp test (both
rod II5 and rod GE7) are not well predicted, but the results, in general, fall into
the „licensing-acceptable‟ sector. Fission gas relelease more then 40%,
reported in the Kola3-MIR experiment does not reproduce at all.
35
Fuel stack elongation was measured in several cases and well reproduced by
optional set of models. Axial fuel changes predicted by TRANSURANUS for
GAIN rods as well as for the two GINNA rods with simple empirical relocation
model are closer to the measured data in comparison with predictions with
standard model (modified FRAPCON 3).
As concerns the calculated cladding creep down (cladding outer diameter
change) at EOL, the simulation with optional selection of models (model of fuel
relocation and simple model for the swelling) results better agreement with
measured data (GAIN experiment and .RISO3 rods) The cladding creep down
of GINNA rods is under-predicted, for annular pellet rod by 30% and for solid
pellet rod by 50%. Rod GE7 has a special cladding Zircaloy-2 with bonded Zr
liner and most probably there is a need of special cladding creep correlation.
The calculated grain size changes in the center, middle and periphery of the
pellet are in good agreement with the experimental data.
Acknowledgements
The work, described in the present report, was completed in close collaboration with
the Modelling Group of the Institute for Transuranium Elements in Karlsruhe,
Germany. The authors would like to express their gratitude to P. Van Uffelen, A.
Schubert, and J. van de Laar for their valuable help and productive discussions.
References
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37
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