NSTX_U Design Point Study Active H2O Cooling Pulse Length 60 sec C Neumeyer 5/19/6.
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Transcript of NSTX_U Design Point Study Active H2O Cooling Pulse Length 60 sec C Neumeyer 5/19/6.
NSTX_U Design Point StudyActive H2O CoolingPulse Length 60 sec
C Neumeyer
5/19/6
Physics Assumptions
A 1.6-2.0
R0+a_100 1.473m10cm inboard of antenna guards
R0 0.903m Per abovekappa kappa*a=1.3m Fixed heightdelta 0.6 Fixedqcyl 2.5 FixedConfinement Ti=Te, HH98=1.3 Fixed
Solenoid Flux85% Hirshman-Neilson flux, ramp-up only
85% factor matches formula to Menard data
Paux <=4*8+6=38MW Beta limited
PF Currents
Scaled from Menard equilibrium @ 1.5MA (A=1.65)
Engineering AssumptionsTF Inner Leg Heating Jcu <= 6kA/cm^2 H20 case not optimizedTF Inner Leg Stress Radial stress <=138MPA
TF Outer Leg Heating Jcu <= 3kA/cm^2New outer leg <= 2*CSA of existing
TF Outer Leg Stress Not ModeledOH Heating G-function adiabaticOH Stress Hoop stress <=138MPA Need to include axial
PF Heating Jcu <= 2.5kA/cm^2
Assume conductor area per turn 1.5*CSA of existing PF coils, 10 turns per cooling path, 15kA per turn
PF Stress Not ModeledPFC Heating Not ModeledPFC Stress Not ModeledTransrex Capacity 15kA/PSS, 3.25kA rms rms is limiting
MG
TF/PF/OH Loads W<=4.5GJ, CCV on
during pulse
GridNBI/MG/BOP Loads
P<=200MW
Cooling Water Systems
Total flow requirement based on total energy dissipation, rep rate
limited by 20MW heat removal
100-10=90C rise in all systems
TF Inner Leg Cooling
TF Inner Leg Cooling
0.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0
160.0
0.1 0.2 0.3 0.4 0.5
fW
Tcu_max (degC)
Tcu_max
Pdiss
Temperatures at Outlet of TF Inner Leg
0
20
40
60
80
100
120
0.00 20.00 40.00 60.00 80.00 100.00
Time (sec)
Temp (C)
TW10
TC10
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
200kA/turn5 kA/cm^25.75m10m/sfW=0.15
200kA/turn5 kA/cm^25.75m10m/sfW=0.15
TF Outer Leg Cooling
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
Temperatures at Outlet of TF Outer Leg
0
20
40
60
80
100
120
0.00 20.00 40.00 60.00 80.00 100.00
Time (sec)
Temp (C)
TW10
TC10
2” x 6” 3kA/cm^26.9m10m/sfW=0.075
2” x 6” 3kA/cm^26.9m10m/sfW=0.075
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.fW 0.075 0.075np_w 1 2v_w 10 5 m/sFlow 3313 3313 GPMTcu_max 65.5 97.3 degCP 22.5 23.8 MW
TF Outer Leg Cooling
0
50
100
150
200
250
300
0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.200 0.225 0.250
fW
Tcu_max & MW Dissipation
Tcu_maxPdiss
PF Cooling
R=2mI=15kAJ=2.5kA/cm^2Turn H and W are 1.25 times existing PF coils10 turns/cooling path10m/s
R=2mI=15kAJ=2.5kA/cm^2Turn H and W are 1.25 times existing PF coils10 turns/cooling path10m/s
PF Cooling
0.0
50.0
100.0
150.0
200.0
250.0
300.0
0.100 0.200 0.300 0.400 0.500
fW
Tcu_max & MW Dissipation
Tcu_max
Pdiss
Divertor Cooling
P_div_tot 38 MW#Sub-paths 2T_inlet 10 degCT_outlet 100 degCdT 90 degCHeat Transfer Rate 264 Watt/GPM-degCMass Flow 800 GPM
5.05E-02 m^3/sFlow Velocity 7.5 m/sFlow Area 0.0067 m^2Hydraulic Dia 0.093 m
3.644 inReynolds Number 6.94E+05 N-sec/m^2Friction Factor 0.012Manifold Radius 0.5 mEff Path Length 0.79 mdP 0.43 psi
4” dia pipes are adequate for divertor supply/returnmanifolds (assume full power capacity on top and bottom)
Fit inside VVNSTX & NSTX-U Shapes
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8
r(m)
z(m)
z_hdwe
z_95
z_100
A=1.6
A=1.65
A=1.7
A=1.8
A=1.9
A=2
Supply
Return
Inner_div
4” OD pipes60mm W brush divertor4” OD pipes60mm W brush divertor
Facility CoolingWmg 4500 MGPgrid 200 MWtpulse 60 secWtotal 16500 MJPpulse 275 MWTmin water 10 degCTmax water 100 degCdelta T water 90 degCHeat removal rate 264 Watt/GPM-degCFlow 11574 GPMPcooling between pulse 20 MWTrep, min 825 secExisting water tank 33000 galHeat capacity 15846 J/gal-degCdelta T 32 degC
TFTR ratings (may not be available anymore TBD)…Water tank = 33000 gallons (adequate)Cooling power = 20MW (adequate)Component cooling = 3300 GPM (~ 1/4 of requirement)
Power Supplies
Use PS at 15kA per PSS (continuous rating of SCRs)Rep rate limited to ~ 1200s min due to 3.25kA rms rating
FCPC Xfmr Thermal Response
35
45
55
65
75
85
95
0 5000 10000 15000 20000 25000 30000
Time (sec)
T (degC)
T_oil
T_winding
FCPC Cable Thermal Response
35
45
55
65
75
85
95
0 5000 10000 15000 20000 25000 30000
Time (sec)
T (degC)
Xfmrs OK(8 hrs)Xfmrs OK(8 hrs) 5 parallel 750MCM per PSS5 parallel 750MCM per PSS
~ 50 parallel 1000MCM cables req’d for 200kA-60s/1200s
Approach
Maximize Ip allowing solver to adjust of Jcu in inner and outer legs of TF subject to outer legs <= 2*CSA of existing
Ip vs. A
Ip [MA]
2.7
2.8
2.9
3.0
3.1
3.2
3.3
1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2
Bt vs. A
Bt [T]
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2
Solenoid Flux vs. A
Flux_total
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2
P_aux vs. A
P_aux[MW]
20.0
21.0
22.0
23.0
24.0
25.0
26.0
27.0
28.0
1.6 1.65 1.7 1.75 1.8 1.85 1.9 1.95 2
Conclusions
How about….
A = 1.75Ip = 3.0MABt = 1.5T
oh = 1.5V-sP_aux = 30MW