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Update on ARIES ACT2 Power Core Design and Engineering
X. R. Wang, M. S. Tillack, C. Koehly
ARIES Project Meeting
18 September2013
ARIES
UC San Diego
UW Madison
PPPL
Boeing
INL
GIT
GA
Progress was made in several areas since May
• ACT2 power core configuration and CAD drawings,including blanket internal details
• Primary stress analysis of the reference blanket
• MHD heat transfer in the DCLL blanket, detailed thermal analysis of the steel structures
• Thermal stress analysis of the reference design
• Alternative “small module” blanket concept
o Pressure stress analysis and parametric studies, comparison of small module with full sector blanket
• Power cycle definition
• Next steps
ACT-2 power core CAD drawings (now available on
the web) were generated using physics point 2216814
Plasma major radius 9.75 m
Plasma aspect ratio 4
Plasma minor radius 2.4375 m
SOL at midplane (IB,OB) 10 cm
IB blanket thickness 65 cm
first wall 3.8 cm
breeding zone 58.2 cm
back wall 3 cm
OB-I blanket thickness 40 cm
first wall 3.8 cm
breeding zone 33.2 cm
back wall 3 cm
OB-II blanket thickness 60 cm
front wall 3 cm
breeding zone 54 cm
back wall 3 cm
9 inboard PbLi feed pipes
Definition of the divertor target plates and slots was performed in the same manner as ACT-1
Inboard divertor target to x-Point >~0.48 m
Outboard divertor target to x-Point > ~0.76 m
Internal details were generated based on 3D analysis:
1. Layout and radial build of the reference IB blanketZone Description Thickness (cm)
1 First wall 0.4
2 FW cooling channel 3.0
3 Second wall 0.4
4 Stagnant Pb-Li 0.5
5 SiC insert 0.5
6 Breeding channel 1 26.2
7 SiC insert 0.5
8 Stagnant Pb-Li 0.5
9 Separation plate 1.8
10 Stagnant Pb-Li 0.5
11 SiC insert 0.5
12 Breeding channel 2 26.2
13 SiC insert 0.5
14 Stagnant Pb-Li 0.5
15 Back plate 3.0
Total 65
For R=9.75 m
Breeding cell layout: 9 toroidal, 2 radial
Dimensions of cell:
~0.306 m (toroidal) x 0.291 m (radial)
Thickness of grid plate: 1.8 cm
2. Layout and radial build of outboard Blanket-I
Zone Description Thickness (cm)
1 First wall 0.4
2 FW cooling channel 3.0
3 Second wall 0.4
4 Stagnant Pb-Li 0.5
5 SiC insert 0.5
6 Breeding channel 1 13.7
7 SiC insert 0.5
8 Stagnant Pb-Li 0.5
9 Separation plate 1.8
10 Stagnant Pb-Li 0.5
11 SiC insert 0.5
12 Breeding channel 2 13.7
13 SiC insert 0.5
14 Stagnant Pb-Li 0.5
15 Back plate 3.0
Total 40
Breeding cell layout: 16 toroidal
Dimensions of OB-I cell:
~0.297 m(tor.)x0.166 m(rad.)
Dimensions of OB-II cell :
~0.31 m(tor.)x0.27 m(rad.)
Thickness of grid plate: 1.8 cm
tor.
pol.
rad.
3. Radial build of outboard Blanket-II
Zone Description Thickness (cm)
1 First wall 0.4
2 FW cooling channel 2.2
3 Second wall 0.4
4 Stagnant Pb-Li 0.5
5 SiC insert 0.5
6 Breeding channel 1 24.1
7 SiC insert 0.5
8 Stagnant Pb-Li 0.5
9 Separation plate 1.8
10 Stagnant Pb-Li 0.5
11 SiC insert 0.5
12 Breeding channel 2 24.1
13 SiC insert 0.5
14 Stagnant Pb-Li 0.5
15 Back plate 3.0
Total 60
Material compositions of the DCLL outboard blankets from CAD model
(Sector Design)
Material compositions of the DCLL outboard blankets from CAD model
(Sector Design)BOTTOM SECTION MIDDLE SECTION AVERAGE OVER
POLOIDAL LENGTH
Blanket-I(40 cm)
Blanket-II(60 cm)
Blanket-I(40 cm)
Blanket-II(60 cm)
Blanket-I(40 cm)
Blanket-II(60 cm)
Front Plate3.8 cm / 3.0 cm
33.6% F82H 66.4% He(3.8 cm)
46.5% F82H 55.5% He(3 cm)
33.6% F82H 66.4% He(3.8 cm)
38.7% F82H 61.3% He(3 cm)
33.6% F82H 66.4% He(3.8 cm)
42.6% F82H 57.4% He(3 cm)
Breeding Zones33.2 cm (OB-I)54 cm (OB-II)
72.0% LiPb 7.6% F82H8.5% SiC11.9 % He
79.2% LiPb 6.4% F82H7.0% SiC7.4 % He
76.3% LiPb 6.2% F82H7.8% SiC9.7 % He
82.9% LiPb 5.0% F82H6.1% SiC6.0 % He
74.2% LiPb 6.9% F82H8.2% SiC10.7 % He
81.1% LiPb 5.7% F82H6.5% SiC6.7 % He
Back Plate3 cm
74.2% F82H25.8% He
76.3% F82H23.7% He
73.8% F82H 26.2% He
75.1% F82H24.9% He
74.0% F82H 26.0% He
75.7% F82H24.3% He
Load conditions and design limits for primary stress
• Helium operating pressure is 8 MPa
• Pb-17Li static pressure at bottom: ~1.6 MPa front, ~1.5 MPa back(MHD pressure drop of 0.1 MPa was assumed )
• Stress allowables for F82H steel:o Average membrane stress < 1 Sm o Primary membrane plus bending stresses < 1.5 Smt
(2/3 of min. creep stress to rupture)o Thermal stresses < 1.5 Smt
o Combined primary and secondary stresses < 3 Sm
Sm, MPa St, MPa 1.5 Smt, MPa
425 ˚C 152 204 228
450 ˚C 148 180 222
475 ˚C 144 157 216
500 ˚C 139 135 203
525 ˚C 133 112 168
Allowable stress for RAFS (F82H) steel (St at t=100,000 h)
3D stress analysis was performed at several locations
• Primary stress analysis was performed at middle and bottom cross sections for IB, OB1, and OB2
(cf. ARIES-CS, which looked only at one location, and omitted weight of PbLi)
• Boundary Conditions:
a. At bottom plane, z-displacement = 0
b. Free expansion and free bending
c. Symmetry at the vertical plane (poloidal-radial plane at 11.25˚)
Inboard blanket primary (membrane + bending) stress using 1.6 MPa in PbLi, 8 MPa He
Peak stress concentration ~228 MPa
We assume local stress can be reduced (below 216 MPa @475˚C) by adding welding fillers.
We assume local stress can be reduced (below 216 MPa @475˚C) by adding welding fillers.
Rad.
Pol.Tor.
location , MPa
maximum 228
first wall 90
second wall 153
separation plate
144
grid plate 98
back plate 45
Excluding local concentrations, the inboard blanket can accommodate internal pressure up to
2.5 MPa Peak stresses away from local concentrations (that we believe can be
easily fixed)
Limit at 500 C
Limit at 475 C
Allowable pressure
Cross-section at bottom
Cross-section at middle plane
First Wall
Front grid plate
Back grid plate
Separation plate
Back plate
1.5 Smt, MPa @500˚C
Primary stresse at bottom, MPa
73 103 104 124 43 203
Primary stress at middle, MPa
72 98 98 115 45 203
Primary (membrane + bending) stresses in the OB blanket are manageable (1.6 MPa
PbLi pressure)
Modeling of MHD heat transfer is needed to provide heat flux boundary conditions
into steel structures• 2D radial/vertical geometry modeled, including PbLi and SiC
• Boundary temperatures provided by ANSYS; heat fluxes solved iteratively for use in thermal and thermal stress analysis at blanket top and bottom
• Iterative solver used previously for ACT1:
de
dtk
2T
x 2 Q ue
z0
• Peak heat flux (FW) is 0.2805 MW/m2.
• FW He inlet/outlet temperature reduced to 385/436 C (from 429/509), and blanket He exit temperature is ~470 C.
• LiPb inlet/outlet temperature is ~460/647 C.
• Heat transfer coefficient on FW is ~8600 W/m2-K (roughing wall is assumed), ~4300 W/m2-k for all others (smooth walls).
• Maximum structure temperature must be lower than 550 C (thermal creep strength) and LiPb/F82H steel interface must be lower than 500 C (compatibility)
Heat flux from the PbLi breeder into the steel structures can cause interface temperature limits to
be exceeded (kSiC=5 W/mK)W/m2
q1bot 52874
q2bot 39962
q3bot 133430
q4bot 103370
• q > 105 W/m2K can cause difficulty maintaining steel within acceptable temperature range
• k = 2 W/mK provides acceptable temperatures
The highest leverage on grid plate heat flux comes from kSiC
Experiments have been performed on unirradiated SiC foam for flow channel
inserts• In ARIES-ST we assumed kSiC could be easily
degraded
• Recent R&D (Ultramet, Sharafat) suggests 2 W/mK is achievable
Shahram Sharafat, Aaron Aoyama, Neil Morley, Sergey Smolentsev, Y. Katoh, Brian Williams, and Nasr Ghoniem, “Development status of a SiC-foam based flow channel insert, for a U.S.-ITER DCLL TBM,” Fusion Science and Technology 56 (883-891) 2009.
• Uniform inlet temperature = 460 ˚C
• Slug flow
• Zone 1 outlet continues into zone 2, “inside-out”
• kSiC = 2 W/mK
Final thermal results using k=2 W/mK
Zone 1
Zone 2 T1top 491 C
T1bot 488 C
T2top 491 C
T2bot 488 C
T3top 491 C
T3bot 495 C
T4top 491 C
T4bot 495 C
From ANSYS
Thermal stress analysis of OB Blanket-I at bottom section shows requirements are met (kSiC
= 2 W/mK)
• Maximum FW temperature is well below 550˚C limit.
• Maximum LiPb/F82H interface temperature ~495 C (within design limit of 500˚C).
• Maximum thermal stress is ~144 MPa (1.5 Smt=203 MPa at T=500˚C)
144 MPa
W/m2
q1bot 5907
q2bot -4187
q3bot 52657
q4bot 54750
Thermal stresses in outboard blanket-I at the middle section are also well within
limits
133 MPa0.9 mm
Distribution of total deformation
Maximum thermal stress is ~133 MPa, well below 1.5 Sm stress limit (203 MPa at 500˚C)
Distribution of thermal stress
Alternative Blanket Design Option for ACT-2 DCLL (no sector side wall supports)
6 modules/sector
each module is fed by one Pb-Li access pipe
Stress model model
Bottom view
Primary (membrane plus bending) stress for the small blanket (Inner Module) indicates a
minimum of 8 needed6 modules per sector 8 modules per sector
• The inner modules have Pb-Li static pressure balanced on both sides.
• The total stress of the inner module for the case of 8 modules per sector meets 1.5 Smt design limit. The 6 modules/sector design exceeds the allowable stress.
Max. σ=167 MPaMax. σ=167 MPaMax. σ=268 MPaMax. σ=268 MPa
Tor.
Pol.
Rad.
The outer module also meets the 1.5 Sm limit using 8 modules per sector
8 modules per sector (22.5 toroidal degree)
6 modules per sector (22.5 toroidal degree)
Local stressσ= 399 MPa
Local stressσ= 370 MPa
σ= 290 MPa
σ= 199 MPa
6-module design exceeds allowable(1.5 Smt=203 MPa)
Local stress increased a lot vs. sector design, but can be reduced by adding welding fillers.
Local stress increased a lot vs. sector design, but can be reduced by adding welding fillers.
6 modules per sector
8 modules per sector
Parametric studies were performed to explore variations of the FW of the
alternative design
8 module design results in too much steel for TBR
We attempted to find a solution with 6 modules by adjusting the dimensions of the FW channels
38 mm
4 4
20
30
A(reference)
38 mm
4 6
20
28
40 mm
4 4
20
32
B(thick back
wall)
C(thick He channel)
Option A primary stress results (6 modules)
• Allowable primary membrane plus bending stress=203 MPa at T=500 C ͦ
• Allowable total pressure load is ~1.4 MPa
• Option A can not accommodate the weight of Pb-Li (~1.6 MPa).
38 mm
4 4
20
30
Limit at 475 C
Limit at 500 C
• Maintain the total thickness of a FW panel (3.8 cm) unchanged, increase the thickness of the second wall from 4 mm to 6 mm.
• Allowable total pressure load increased from 1.5 to ~2.1 MPa
38 mm
4 6
20
28
Option B primary stress results (6 modules)
Limit at 475 C
Limit at 500 C
• Maintaining the thickness of the second wall unchanged, increasing the total FW panel from 3.8 cm to 4.0 cm (suggested by Siegfried).
• Allowable total load is ~1.5 MPa
40 mm
4 4
20
32
Option C primary stress results (6 modules)
Limit at 475 C
Limit at 500 C
Comparison of Material Compositions for DCLL Inboard Blanket Design
Options
Comparison of Material Compositions for DCLL Inboard Blanket Design
OptionsARIES-CS (2m x 2m module)
ACT2 DCLL(Sector)
ACT2 DCLL(6 Modules-A)
ACT2 DCLL(6 Modules-B)
ACT2 DCLL(6 Modules-C)
ACT2 DCLL(8 Modules)
First Wall3.8 cm
8% ODS FS27% F82H65% He
5.3% ODS FS28.4% F82H 66.3% He
35.5% F82H64.5% He(4/30/4 mm)
39.3% F82H 60.7% He(4/28/6 mm)
37.3% F82H 72.8% He (4/32/4 mm)
35.5% F82H 64.5% He
Breeding Zone58.2 cm
77% LiPb 7% F82H3.7% SiC12.3% He
79.2% LiPb 6.1% F82H6.2% SiC8.5 % He
72.3% LiPb 8.7% F82H5.3% SiC13.7 % He
72.3% LiPb 9.5% F82H5.3% SiC12.9 % He
69.8% LiPb 9.0% F82H5.2% SiC15.3 % He
65.5% LiPb 10.9% F82H5.8% SiC17.8 % He
Back Plate3 cm
80% F82H20% He
84.1% F82H15.9% He
35.6% F82H64.4% He
37.9% F82H 62.1% He
36.8% F82H 63.2% He
35.6% F82H 64.4% He
Max. PrLoad, MPa
(PbLi pressure not considered in ARIES-CS)
2.5 1.4 2.1 1.5 2.3
Maximum primary membrane plus bending stress should be below 1.5 Sm (209/189 MPa for T=500/550 C). The sector design option provides the largest LiPb fraction in the breeding zone and can accommodate the highest
pressure load up to 2.5 MPa. The 6-module per sector design has advantages for fabrication, but lower LiPb fraction in the breeding zone. 6-module A &C options can not support the weight of PbLi. All of the small-module designs have reduced breeding capability.
Brayton cycle efficiency is degraded due to the low inlet temperature required to
maintain steel/PbLi interface below 500 C
operating point, =45%
PbLi
divertor plates
FW
grid
p
late
s
div
ert
or
stru
ctu
re
SR
Power flows and temperature matching in the heat exchanger
We reduced the HX T in order to increase the inlet temperature
What’s next?
• Any revisions based on feedback from this meeting
• We need final PF coil locations ASAP
• A few minor details added in the CAD drawings (e.g. maintenance paths)
• One journal article to be prepared on ACT2 power core engineering
• No work to extend beyond calendar 2013