the mutual influence of thermal-hydraulics and … of nuclear technology and energy systems the...
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Institute of Nuclear Technology
and Energy Systems
The Mutual Influence
of Thermal-hydraulics
and Materials on
Design of SCWR –
Review of Results of
the Project HPLWR
Phase 2
J. Starflinger,
T. Schulenberg,
KIT
• Design Target Data:
• Operational pressure: 25 MPa
• Core mass flow: 1160 kg/s
• Power output: 1000 MWe
• Constraints:
• Average core exit temp.: 500°C
• Max. cladding surface temp.: 625°C
• Max. linear heat rate: 39 kW/m
22/8//2016
University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 2
5th Framework Programme of the EU
HPLWR – High Performance Light Water Reactor
AREVA NP, 2005
• „Hot Channel“ by definition is the channel, in which all uncertainties, non-
homogeneities and allowances sum up, leading to the highest enthalpy
rise of the entire core under normal operation conditions!
• Very conservative, provides a very high safety margin
22/8//2016
University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 3
Definition
„Hot Channel“ Form Factor Analysis of the Core
av
av
h
h
h
hF
max
max
Maximum enthalpy rise in the „Hot Channel“
Average enthalpy rise in the core
• Statistical approaches need a broad validated database (in-pile exp.)
• Statistical approaches are used to reduce the over-conservatism while
keeping the safety margins. Do we really have enough statistical
information to perform such an approach?
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University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 4
Some thoughts
„Hot Channel“ Form Factor vs. Statistical Approach 95/95
avh
hF
max
• Maximum enthalpy rise
in the „Hot Channel“
• “There is at least a 95%
probability at a 95% confidence
level that …” [NUREG1475]
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 5
Design Targets of Hot Channel Factors
2.01.6Total
Power control, flow control, pressure control, inlet
temperature control
1.15Allowances
Material properties of coolant and claddings,
physical modelling, hydraulic modelling, heat
transfer coefficient, geometry tolerances
1.2Uncertainties
1.6Axial power factor
1.15Local peaking
factor inside FA
1.25Radial peaking
factor
Fuel enrichment and distribution, water density
distribution, reflector design and properties, fuel
and control rod pattern, burn-up, burnable
poisons, …
Form factors for
power profiles
Key ParametersradialaxialHot Channel Factor
2.01.6Total
Power control, flow control, pressure control, inlet
temperature control
1.15Allowances
Material properties of coolant and claddings,
physical modelling, hydraulic modelling, heat
transfer coefficient, geometry tolerances
1.2Uncertainties
1.6Axial power factor
1.15Local peaking
factor inside FA
1.25Radial peaking
factor
Fuel enrichment and distribution, water density
distribution, reflector design and properties, fuel
and control rod pattern, burn-up, burnable
poisons, …
Form factors for
power profiles
Key ParametersradialaxialHot Channel Factor
Schulenberg, KIT, 2010
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 6
One-Pass Core
„Hot Channel“ Form Factor Analysis of the Core
• Designed for
500°C core
outlet
temperature
• Coolant
average
conditions
Heinecke, AREVA, 2010
Average
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One-Pass Core
„Hot Channel“ Form Factor Analysis of the Core
• Hot fuel
assembly
(∙ 1.25)
Heinecke, AREVA, 2010
Average
+ Assembly Power
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One-Pass Core
„Hot Channel“ Form Factor Analysis of the Core
• Hot rod
(∙ 1.25
∙ 1.15
= 1.44 )
Heinecke, AREVA, 2010
Average
+ Assembly Power
+ Rod Power
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 9
One-Pass Core
„Hot Channel“ Form Factor Analysis of the Core
• Hot rod +
uncertainty
(∙ 1.25
∙ 1.15
∙ 1.2
= 1.73 )
Average
+ Assembly Power
+ Rod Power
+ Uncertainty
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University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 10
One-Pass Core
„Hot Channel“ Form Factor Analysis of the Core
Heinecke, AREVA, 2010
• Hot rod + uncertainty + operation (∙ 1.25 ∙ 1.15 ∙ 1.2 ∙ 1.15 = 1.98 )
• Coolant temperature ≈ 1200 °C
Average
+ Assembly Power
+ Rod Power
+ Uncertainty
+ Operation
• Simple „Hot-Channel“ analysis revealed the unfeasibility of single-pass
core design.
• Idea from T. Schulenberg, KIT:
Propose a “Three-pass core” with intermediate mixing in special mixing
chambers.
• One key-issue of a feasible core design is mixing!
• not to overheat the core
• avoid hot streaks from one assembly to another and hot-spots on the
cladding surface
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Consequences
„Hot Channel“ Form Factor Analysis of the Core
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 12
Three Pass Core Design Proposal for a HPLWR
1000
1500
2000
2500
3000
3500
4000
Evaporator Superheater 1 Superheater 2
En
tha
lpy
[k
J/k
g]
hot channel
average
Strategy to overcome hot-channel issue: Heat-up in steps with Intermediate mixing of the coolant
Mixing
Mixing
Schulenberg, 2006
4 : 2 : 1
Power ratio of the core zones
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 13
Three Pass Core Design Proposal for a HPLWR
200
250
300
350
400
450
500
550
600
650
Evaporator Superheater 1 Superheater 2T
em
pe
ratu
res
[°C
]
cladding
hot channel
average
Schulenberg, 2006
• A 3-Pass coolant flow in the core allows 500°C average core exit
temperature with 625°C cladding temperature
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Core Arrangement
Evaporator:
52 Clusters
Upward Flow
Superheater 1:
52 Clusters
Downward Flow
Superheater 2:
52 Clusters,
Upward Flow
Köhly, 2010
• Cluster of 3x3 assemblies in
square arrangement
• 40 fuel pins with 8mm diameter
• p/d = 1.18
• wire wraps as grid spacers
• assembly box with 3 mm
thickness incl. thermal insulation
• moderator box with 2 mm
thickness incl. thermal insulation
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Details of the Assembly Design Concept
Moderator
box
Assembly
box
Wire wrap
spacers
Himmel, Köhly 2008
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Head and Foot Piece Design of an Assembly Cluster
Control rods
running inside
moderator channels
Inlet orifices
for
moderator
water
Outlets of
moderator
water
New: Rising
moderator water in
gaps between
assemblies
Hofmeister, modified later
Downcomer flow
(50%)
Moderator flow
(50%)
Inlet flow:
280°C
25 MPa
1179 kg/s
Core flow
(100%)
Upper dome
Downcomer
Area
University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR
HPLWR Flow Path
3/11/2016 17
Köhly, 2010
• Analyze the core, whether the power peaking factors will be met
• Neutronics:
• Simulate neutronics (BOC, EOC) for core and assembly-wise power
distribution (input from materials and TH needed)
• Thermal-hydraulics:
• Suitable heat transfer correlation with an uncertainty of less than 25%,
especially for fuel rod bundles with wire wraps as spacers.
• Materials & Water Chemistry
• Identify suitable materials for thick wall and thin wall components, but
especially for cladding.
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Tasks for the HPLWR Partners
Design Support
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Overview CFD validation
Geometry Medium Source/Institute HPLWR partner
Tube SCW Yamagata NRG, USTUTT
Tube SCW Herkenrath NRG
Tube SC CO2 KAERI NRG
Tube
SCW Shitsman KTH/USTUTT
Tube SCW Ornatskii
KTH, USTUTT
Annulus SCW Glushchenko USTUTT
Annulus SC CO2 KAERI NRG/USTUTT
Square annulus SCW Wisconsin univ. USTUTT
Square annulus SCW XTJU USTUTT
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 20
Yamagata tube test, Dh = 3.75 mm
Validation of Tube and Annulus
q/G = 0.18 q/G = 0.37
Laurien 2009
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 21
Ornatskii tube test, Dh = 3 mm, Shitsman tube test, Dh = 8 mm
Validation of Tube and Annulus
q/G = 1.21 q/G = 0.74
Laurien Anglart 2009
• Normal and enhanced heat transfer can be predicted within the 25%
uncertainty as requested.
• Onset of Heat Transfer Deterioration can possibly be predicted, but
maximum temperature is uncertain.
• For use in sub-channel codes, correction factors of a heat transfer
correlation shall be derived.
HTCav = Fgeo x Fwire x HTCbase
Conclusion from CFD calculations:
• Geometry factor Fgeo = 0.6
• Wire factor Fwire = 1.1
22/8//2016
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 22
Results of the Heat Transfer investigation
1500 1600 1700 1800 1900 2000 2100 220020000
40000
60000
80000
100000
120000
140000
160000
180000
200000
Bulk enthalpy, kJ/kg
HT
C,
W/m
2
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Example comparison of selected correlations with data
HTC Base correlation
Bishop
Dittus-Boelter
Jackson
Herkenrath
q’’ = 1200 kW/m2
G = 3500 kg/m2.s
p = 24 MPa
d = 10 mm
Anglart 2009
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Bishop (1965) correlation vs. experimental data
Sig.=0.16; bias=0.44
22.8MPa<=p<27.6MPa
N. pts. =236
10 20 30 40 50 60 70 8010
15
20
25
30
35
40
45
Bishop correlation
Exp
eri
me
nt
• Experimental data in
the range of
parameters applicable
to HPLWR upflow and
in range of applicability
of the correlation.
• 236 measurement
points
• Bias is defined as:
mean(HTCBishop/HTCExp)
– 1 = 0.44
+10% -10%
Anglart 2009
Sig.=0.14; bias=0.03
22.8MPa<=p<27.6MPa
N. pts. =236
10 15 20 25 30 35 40 45 50 55 6010
20
30
40
50
60
70
80
90
Jackson correlation
Exp
eri
me
nt
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Jackson, Hall (1979) correlation vs. experimental data upflow
• Experimental data in the
range of parameters
applicable to HPLWR
upflow and in range of
applicability of the
correlation.
• 236 Measurement
Points
• Bias is defined as:
mean(HTCJackson/HTCExp)
– 1 = 0.03
+10%
-10%
Anglart 2009
Sig.=0.11; bias=-0.05
22.8MPa<=p<27.6MPa
N. pts. =87
5 10 15 20 25 30 35 40 45 50 550
10
20
30
40
50
60
Jackson correlation
Exp
eri
me
nt
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Jackson, Hall (1979) vs. experimental data downflow
• Experimental data in
the range of
parameters applicable
to HPLWR downflow
and in range of
applicability of the
correlation.
• 87 Measurement Points
• Bias is defined as:
mean(HTCJackson/HTCExp)
– 1 = 0.05
+10%
-10%
Anglart 2009
Base correlation HTCbase:
• Look-up tables (e.g. Löwenberg, Groeneveld) will offer best accuracy
and should be considered as first choice (not shown here)
• Jackson correlation is proposed as the second choice, since it offers
best agreement with measured data
• Note: Disadvantage of correlations is that they are not accurate and non-
conservative, especially near the supercritical point.
• Strong interaction between heat transfer and core design
• Validation experiment needed incl. bundle effects and influence wire wrap
spacers on the flow (fuelled loop project).
22/8//2016
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HPLWR approach
Heat Transfer Correlation
• Test of 16 materials in autoclaves at different temperatures
• Investigation of general corrosion, stress-corrosion cracking and creep
Main findings:
Thick walled components operating at max. 500°C
• No major structural problems with respect to corrosion (fossil plant
technology)
Thin walled components at above 600°C:
• High corrosion rate with licensed low Ni alloys (especially fuel cladding)
• High impact on core design! Redesign necessary if no suitable
materials will be found.
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Materials
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Influence of high Cr content on oxidation
Materials
after 600h at 650°C
0,1
1
10
100
1000
0 5 10 15 20 25
Cr(%)
Ox
ide
Th
ick
ne
ss
(m
m)
P91
P92
ODS (FZK)
ODS (EU)
PM2000
316NG
1.4970
BGA4
800H
IN 625
Data from VTT, JRC,
UJV Rez,
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Radial Power Profile at BOC, Maraczy et al. 2009
Assessment
1.5
1.3
1.1
0.9
0.7
0.5
0.3
0
Power peaking factors
per heat up step Radial power profile
Local lower
peaking
factor
strongly
scattering
in one
assembly
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Enthalpy Peaking Factors of Assembly
0%
2%
4%
6%
8%
10%
12%
14%
16%
18%
20%
EVA SH1 SH2
Control RodsGd Burn OutPower Gradients
Design Target
The design target
for local coolant
enthalpy peaking
factors inside fuel
assemblies has
been met.
Note:
Factors are not simply
additive.
Control rod effects rather
at BOC.
Gd burn out rather at EOC.
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„Core Zone“ Enthalpy Peaking Factors
Assessment
0
500
1000
1500
2000
2500
3000
3500
4000
EVA SH1 SH2
Pe
ak
En
tha
lpy
[k
J/k
g]
Design Target
BOC
EOC
• Averaged power
peaking factors are
exceeding the design
targets.
• Maximum 14% at
BOC in SH1
• EVA peak coolant
temperature higher
than design target.
• SH1 peak coolant
temperature exceeds
design target.
• SH2 peak coolant
temperatures close to
design target.
• Reason: Clustering of
the fuel assemblies.
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Peak Coolant Temperatures in „Core Zones“
Assessment
0
100
200
300
400
500
600
EVA SH1 SH2
Pe
ak
Co
ola
nt
Te
mp
. [°
C]
Design Target
BOC
EOC
Peak coolant enthalpy
• Assembly bending 2%
• Sub-Channel codes 7%
• Neutron physical modeling 5%
• Local flow blockage 3%
Total sum of variances 9%
• Other uncertainties
• Heat transfer predictions > 20%
• Material properties (corrosion) unknown!
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Summary of Uncertainties
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Simulation from Schlagenhaufer, 2010
Allowances
Temperature control: 10°C
= 2% of total coolant enthalpy rise
Pressure control: 50 kPa
Design Target: 15%
• There is enough margin for measurement errors.
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Design Targets of Hot Channel Factors
2.01.6Total
Power control, flow control, pressure control, inlet
temperature control
1.15Allowances
Material properties of coolant and claddings,
physical modelling, hydraulic modelling, heat
transfer coefficient, geometry tolerances
1.2Uncertainties
1.6Axial power factor
1.15Local peaking
factor inside FA
1.25Radial peaking
factor
Fuel enrichment and distribution, water density
distribution, reflector design and properties, fuel
and control rod pattern, burn-up, burnable
poisons, …
Form factors for
power profiles
Key ParametersradialaxialHot Channel Factor
2.01.6Total
Power control, flow control, pressure control, inlet
temperature control
1.15Allowances
Material properties of coolant and claddings,
physical modelling, hydraulic modelling, heat
transfer coefficient, geometry tolerances
1.2Uncertainties
1.6Axial power factor
1.15Local peaking
factor inside FA
1.25Radial peaking
factor
Fuel enrichment and distribution, water density
distribution, reflector design and properties, fuel
and control rod pattern, burn-up, burnable
poisons, …
Form factors for
power profiles
Key ParametersradialaxialHot Channel Factor
EVA SH1 SH2 Comment
1.42 1.37 1.29 Design value
exceeded
1.13 1.15 1.14 Close to design
value
1.09 1.09 1.09 Heat transfer
and materials
not considered
1.02 1.02 1.02 Simulation
1.79 1.75 1.63
• Enthalpy form factor of the HPLWR zones are met, because of very low
uncertainty and allowances. Radial peeking factor is too high.
• The design target of 500°C core outlet temperature at 630°C maximum
cladding surface temperature can be met.
• The 3x3 assembly cluster is too large for the 3 pass core concept, better
individual smaller assemblies (better shuffling -> redesign)
• Core is complicated to analyze and optimize. Single pass core (EVA), only?
• Uncertainties of heat transfer and material properties still too large.
Materials and heat transfer are to be further investigated!
22/8//2016
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IAEA - Technical Meeting on Heat transfer, Thermal-hydraulics, System Design for SCWR 37
Did we meet the design targets?
Assessment
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Mix it, baby!
Advice from A. Schwarzenegger
Thank you!
phone +49 (0) 711 685-
fax +49 (0) 711 685-
Universität Stuttgart
Pfaffenwaldring 31 • 70569 Stuttgart • Germany
Prof. Dr.-Ing. Jörg Starflinger
62116
62008
Institute of Nuclear Technology and Energy Systems
Institute of Nuclear Technology
and Energy Systems
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University of Stuttgart – Institute of Nuclear Technology and Energy Systems (IKE)
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