Yves Martin
Centre de Recherches en Physique des PlasmasAssociation Euratom - Confédération SuisseEcole Polytechnique Fédérale de Lausanne
CH - 1015 Lausanne, Switzerland
ITPA – TG – CDBMITPA – TG – CDBMH-mode threshold databaseH-mode threshold database
IAEA - IAEA - NF paperNF paper
November 2004 - LisbonNovember 2004 - Lisbon
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 2
PlanPlan
Improvement between paper and poster• DB status
New data General data selection Data distribution
• Old scalings• Influence of the chosen divertors - best divertors• Influence of the chosen phases - remove 'bad' phases• Fits with equalised data representations
Random sub-selection Weights
• New parameter set - effect of the aspect ratio• Threshold power at low density• Prediction for ITER
Improvement still possible between poster and NF paper
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 3
DB statusDB status
New data• Table of new contributed data
New selection• Phase, shape, IgradB, ...
Data distribution
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV TUMAN-3M
200 400 600 Count
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV TUMAN-3M
0 0 0 0 37 6 0 0 18 6 89 22 82 0 10 5 46 0 24 0 49 3 27 35 10 0 1 0 0 0 6 1 1 2 0 0 53 0 0 2
226 66 91 0 172 0 0 0 12 0 6 0 35 0 0 0 0 0 36 0 22 0 0 0 0 0 0 0 4 0 16 0 1 0 0 0 5 0 0 0 0 0 0 0 5 0 0 0 0 20 0 0 1 0 16 14 0 0 0 0 0 0 0 15
43 232 184 18 58
555 53 58 20 6 5
51 15
314 94 247 22 465 9 75 72 1298
PHASE Count D DH LD LDL LH LHL OHMD OHMH
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 4
DB status IIDB status II
Data distribution
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV TUMAN-3M
0 0 43 0 0 0 0 0 232 0 0 0 0 184 0 0 0 18 0 0 0 0 58 0 0 0 0 0 491 64 0 0 53 0 0 0 0 58 0 0
15 0 5 0 0 0 0 6 0 0 5 0 0 0 0 0 0 0 50 1 0 15 0 0 0
43 232 184 18 58
555 53 58 20 6 5
51 15
20 15 241 957 65 1298
CONFIGURATION Count DN LIM SN SNB SNT
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV TUMAN-3M
0 43 0 232 0 184 0 18 0 58 0 555 0 53 0 58 15 5 0 6 5 0 0 51 0 0
43 232 184 18 58
555 53 58 20 6 5 51 0
20 1263 1283
IGRADB Count 0 1
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 5
DB status IIIDB status III
Data distribution
ne20
0
1
2
3
ASDEX AUG
CMOD COMPASS
D3D JET JFT2M JT60U
MAST NSTX
PBXM TCV
TUMAN-3M
|BT|
1 2
3 4
5 6
7 8
ASDEX AUG
CMOD COMPASS
D3D JET JFT2M JT60U
MAST NSTX
PBXM TCV
TUMAN-3M
TOK
R
1
2
3
ASDEX AUG
CMOD COMPASS
D3D JET JFT2M JT60U
MAST NSTX
PBXM TCV
TUMAN-3M
TOK
1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9
2
ASDEX AUG
CMOD COMPASS
D3D JET JFT2M JT60U
MAST NSTX
PBXM TCV
TUMAN-3M
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 6
Previous scalingPrevious scaling
Jo Snipes - IAEA 2002
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV TUMAN-3M
200 400 600 Count
0.1 0.06
1 0.6 0.4 0.2
10 6 4 2 PL
.1 .07 1 .8 .6 .4 .3 .2 10 7 5 4 3 2
Pth1
0.4 0.7 0.9 1.2 1.4 1.7 1.9 2.2 2.4 2.7
ASDEX AUG
CMOD COMPASS
D3D JET JFT2M JT60U
MAST NSTX
PBXM TCV
TUMAN-3M
PL/Pth1
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 7
Scaling with full data setScaling with full data set
2002 Scaling:
Pth1 = 1.67 ne200.61 BT
0.78 a0.89 R0.94
RMSE = 25.1%
2004 scaling
Pth3 = 3.46 ne200.48 BT
0.65 a1.37 R0.26
RMSE = 32.4%
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 8
Select best divertor for each tokamak (where defined)
Effect of divertorEffect of divertor
0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 2.1
MK0 MKIIGB MKSRP MkI MkIIa MkIIap
DIVERTOR NAME
PL/Pth1
0.5 0.7 0.9 1.1 1.3 1.5 1.7 1.9 2.1 2.3
DIV-I DIV-II DIV-IIa DIV-IIb
DIVERTOR NAME
PL/Pth1
50 100 150 200
MK0 MKIIGB MKSRP
MkI MkIIa MkIIap
MK0 MKIIGB
MKSRP MkI MkIIa MkIIap
0.1 0.06
1 0.6 0.4 0.2
10 6 4 2
.1 .07 1 .8 .6 .4 .3 .2 10 7 5 4 3 2
Pth4
PL
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 9
Effect of Divertor IIEffect of Divertor II
Scaling with one divertor for JET (MkIIap):
Pth4 = 2.96 ne200.85 BT
0.51 a1.07 R0.83
RMSE = 22.9%
Scaling with three divertors for JET (Mk0, MkI, MkIIap):
Pth4b = 2.96 ne200.84 BT
0.63 a0.89 R1.02
RMSE = 25.5%
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 10
Effect of PhaseEffect of Phase
Remove 'bad' Phases (LDL, OHMH, ...)
Scaling:
Pth5 = 2.34 ne200.67 BT
0.62 a1.02 R0.71
RMSE = 21.5%
... little improvement, but 'good' one for conventional tokamaks
0.4 0.6 0.8
1 1.2 1.4 1.6 1.8
2
D DH LD LDL LH OHMD OHMH
PHASE
PL/Pth4
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 11
Normalisation of device contributionsNormalisation of device contributions
Random selection of data in 'over-represented' devices
Scaling:Pth5b = 2.39 ne20
0.63 BT0.64 a1.07 R0.65
RMSE = 21.2%
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U PBXM TCV
25 50 75 100 Count
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U PBXM TCV
20 40 60 Count
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 12
Normalisation of device contributionsNormalisation of device contributions
Including weigths for data
Scaling:
Pth5c = 1.82 ne200.57 BT
0.67 a0.87 R0.79
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 13
Effect of aspect ratio - Spherical tokamaksEffect of aspect ratio - Spherical tokamaks
Including Spherical TokamaksRequire aspect ratio characterisation
• 3 parameters to describe shape• a or R, kappa or S, R/a or Rmm=(R+a)/(R-a)
Scaling:
Usual parameter setPth6 = 3.73 ne20
0.55 BT0.60 a1.43 R0.18
RMSE = 24.5%
New parameter setPth7 = 0.151 ne20
0.63 BT0.67 R1.22 S0.25 Rmm
1.21
RMSE = 22.9%
ASDEX AUG CMOD COMPASS D3D JET JFT2M JT60U MAST NSTX PBXM TCV
25 50 75 Count
0.1 0.06
1 0.6 0.4 0.2
10 6 4 2 PL
.1 .07 1 .8 .6 .4 .3 .2 10 7 5 4 3 2
Pth7
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 14
Low densityLow density
Select low density data from each device
Device Density [1020m-3]ASDEX 0.27AUG 0.35CMOD 1.2 JET for instance:Compass 0.6DIII-D 0.4JET 0.2JFT2M 0.3JT60U 0.25MAST 0.275NSTX 0.25PBXM 0.3TCV 0.55
1 2 3 4 5 6 7 8 9
10 11 12
PL
.1 .2 .3 .4 .5
ne20
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 15
Low density IILow density II
Scaling:
Pth8 = 2.23 ne200.385 BT
0.63 a1.18 R0.27
RMSE = 26.1%
0.1 0.06
1 0.6 0.4 0.2
10 6 4 2 PL
.1 .07 1 .8 .6 .4 .3 .2 10 7 5 4 3 2
Pth8
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 16
Prediction for ITERPrediction for ITER
Predictions with all developed scalings
Prediction - confidence interval: on average, individual
Some scaling less reliable (usual parameter set, with STs)Some scaling reliable: #5: usual parameter set, conventional tokamaks#7: extended parameter set, with STs
Prediction at 2 densities: 0.6 and 1.0 1020m-3
Scaling ne20 Predicted LH threshold power [MW]#5 0.6 22 32 35 38 53#5 1.0 31 42 49 56 76#7 0.6 22 32 35 39 55#7 1.0 30 41 48 56 77
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 17
ConclusionConclusion
New data added
Enlarged data set
Scaling with selected divertors
Scaling with selected phases
Aspect ratio effect
Low density threshold power
Prediction for ITER
Yves Martin, ITPA TG CDBM LH Transitions, March 2004, Naka 18
New - to be incorporatedNew - to be incorporated
Scaling with other divertors• 'bad' divertors• all combinations
Dimensionally correct scalings
Discuss density value for ITER• include access to appropriate ELMy regime
Compare / discuss 'new' vs 'old' scalings• F.Ryter, J.Snipes, T.Takizuka
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