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Development of Burning Plasmaand Advanced Scenarios
in the DIII–D Tokamak
NATIONAL FUSION FACILITYS A N D I E G O
DIII–D248-04/TCL//rs
byT.C. Luce
for the DIII–D Team
Presented at20th IAEA Fusion Energy Conference
Vilamoura, Portugal
November 1, 2004
QTYUIOP
THE DIII–D TEAMCONSISTS OF >300 PROFESSIONALS FROM >70 INSTITUTIONS
European Community
Cadarache (St. Paul-lez, Durance, France)Consorzia RFX (Padua, Italy)Culham (Culham, Oxfordshire, England)Frascati (Frascati, Lazio, Italy)FOM (Utrecht, The Netherlands)IPP (Garching, Greifswald, Germany)JET-EFDA (Oxfordshire, England)KFA (Julich, Germany)Kharkov IPT, (Ukraine)Lausanne (Lausanne, Switzerland)Chalmers U. (Goteberg, Sweden)Helsinki U. (Helsinki, Finland)U. Naples (Naples, Italy)U. Strathclyde (Glasgow, Scotland)U. Wales (Wales)
Russia
Ioffe (St. Petersburg, Russia)Keldysh (Udmurtia, Moscow, Russia)Kurchatov (Moscow, Russia)Moscow State (Moscow, Russia)Triniti (Troitsk, Russia)Gycom (Nizhny Novgorod, Russia)
Other International
Australia National U. (Canberra, AU)ASIPP (Hefei, China)KAIST (Daegon, S. Korea)KBSI (Daegon, S. Korea)National U. (Taiwan)Nat. Nucl. Ctr. (Kurchatov City, Kazakhstan)SWIP (Chengdu, China)U. Alberta (Alberta, Canada)U. of Kiel (Kiel, Germany)U. Toronto (Toronto, Canada)
US Industries
CompX (Del Mar, CA)CPI (Palo Alto, CA)Creare (Hanover, NH)Digital Finetec (Ventura, CA)FAR Tech (San Diego, CA)HiTech Metallurgical (San Diego, CA)IR&T (Santa Monica, CA)Orincon (San Diego, CA)SAIC (La Jolla, CA)Surmet (Burlington, MA)Thermacore (Lancaster, PA)TSI Research (Solana Beach, CA)
Japan
JAERI (Naka, Ibaraki-ken, Japan) JT-60U JFT-2MTsukuba University (Tsukuba, Japan)NIFS (Toki, Gifu-ken, Japan) LHD
US Labs
ANL (Argonne, IL)INEL (Idaho Falls, ID)LANL (Los Alamos, NM)LLNL (Livermore, CA)ORNL (Oak Ridge, TN)PNL (Richland, WA)PPPL (Princeton, NJ)SNL (Sandia, NM)
US Universities
Alaska (Fairbanks, AK)Auburn (Auburn, Alabama)Cal Tech (Pasadena, CA)Colorado School of Mines (Golden, CO)Columbia (New York, NY)Georgia Tech (Atlanta, GA)Hampton (Hampton, VA)Lehigh (Bethlehem, PA)Maryland (College Park, MD)MIT (Boston, MA)Palomar (San Marcos, CA)New York U. (New York, NY)Texas (Austin, TX)UCB (Berkeley, CA)UCI (Irvine, CA)UCLA (Los Angeles, CA)UCSD (San Diego, CA)U. New Mexico (Albuquerque, NM)Washington (Seattle, WA)Wisconsin (Madison, WI)
NakaDaejon
HefeiChengdu
Taiwan
Kurchatov City
Moscow
Durance
Culham
Goteberg
Helsinki
Utrecht
Wales
JulichMontreal
Fairbanks
Alberta
SeattleRichland
Idaho FallsDenver
Toronto
Frascati
Garching
Lausanne
St. Petersburg
Troitsk
Nizhny Novgorod
TsukubaToki
BerkeleyPalo Alto
Livermore
AustinAtlanta
Oak Ridge
HamptonLancaster
PrincetonNew York
Boston & BurlingtonHanover
BethlehemCollege Park
SandiaLos Alamos
MadisonArgonne
LA Area Santa Monica Pasadena Irvine
San Diego Area Del Mar Solana Beach San Marcos
Canberra
248-04/TLC/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
DIII–D PROGRAM GOAL: TO ESTABLISH THE SCIENTIFIC BASIS FOR THE OPTIMIZATION OF THE TOKAMAK
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Strengthening the scientific basis for next-generation burning plasma experiments (ITER)
Establishing the scientific basis for steady-state tokamak operation
Investigating fundamental properties of tokamak plasma
Highlights presented here are organized around three themes:
DIII–D EXPERIMENTS INCREASE CONFIDENCEIN REACHING THE ITER PERFORMANCE TARGETS
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Stationary discharges with: — Performance >40% higher than the ITER baseline scenario — Performance equal to the ITER performance target obtained at 30% lower equivalent current
G = βNH89/q95 2
Normalized Fusion Performance
Duration Relative to Current Relaxation Time
G
tdur/τR0 2 4 6 108
ITER BaselineScenario Target
Baseline ScenarioHybrid ScenarioOther
0.0
0.2
0.4
0.6
0.8
1.0
STATIONARY HIGH PERFORMANCE ACHIEVED UNDER CONDITIONS SIMILAR TO THE ITER BASELINE SCENARIO
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Key advance is operation at higher pressure (βN = 2.8), due to initiation at a relatively benign resistive instability (m=3/n=2 tearing mode) before the onset of sawteeth
ITPA Joint Experiment Wade – Wed. PM Talk
βN
4 liH89P
τR τE
I × 10 (MA)
120675
Sawteeth Type I ELMsq95=3.2
<β>=4.0%
tdur=9.5 stdur/τR=9.2tdur/τE=55
0 2 4 6 8 10 12Time (s)
G
0
3
6
9
12
0
1
2
3
4
0.00.20.40.60.81.0
PNB (MW) <PNB> (MW)<PNB> (MW)
STATIONARY HIGH PERFORMANCE ACHIEVED UNDER CONDITIONS SIMILAR TO THE ITER BASELINE SCENARIO
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Projection to ITERβN = 2.8 q95 = 3.2 n/nG = 0.85
B = 5.3 T I = 13.9 MA
ITER89P 2.4 780 60 12.9IPB98y2 1.47 740 18.5 39DS03 1.25 700 0 ∞
*DIII–D Value
βN4 li
ITPA Joint Experiment
PNB (MW)
I×10 (MA)
ITER BaselineTarget
G
120675
Wade – Wed. PM Talk
(1.63)*
0 2 4 6 8 10 12Time (s)
1.00.8
0.6
0.4
0.2
0.0
0
3
6
9
12
0
1
2
3
4
<PNB> (MW)<PNB> (MW)
H89PH89P
ITER BaselineTarget
ITER BaselineTarget
Flattop time = 2300 s > 30 min
HPfus (MW)
Paux (MW) Qfus
CANDIDATE HYBRID SCENARIO DISCHARGES REACH ITERPERFORMANCE TARGET AT REDUCED EQUIVALENT CURRENT
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Hybrid scenario goal is maximum fusion energy (or neutron fluence) per inductive pulse
DIII–D approach is reduced current and higher normalized pressure, up to no-wall pressure limit (~4 li)
Key advance is again the initiation of a resistive mode (m=3/n=2), which prevents the onset of sawteeth and allows high normalized pressure (βN ≤ 3.2)
I×10 (MA)
βN
4 li
H89P
119733
ITPA Joint Experiment Wade – Wed. PM Talk
0 2 4 6 8Time (s)
G
⟨β⟩ = 3.1%
τR τE
0
3
6
9
12
0
1
2
3
4
0.0
0.2
0.4
0.6
0.8
1.0
PNB (MW)
<PNB> (MW)<PNB> (MW)
CANDIDATE HYBRID SCENARIO DISCHARGES REACH ITERPERFORMANCE TARGET AT REDUCED EQUIVALENT CURRENT
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
I×10 (MA)
βN
4 li
ITER BaselineTarget
ITER Baseline Target
ITER BaselineTarget
H89P
119733
Projection to ITER
ITER89P
IPB98y2
DS03
2.75
1.59
1.78
(1.81)*
440
440
370
49
49
0
9.0
9.0
∞
HPfus (MW)
Paux (MW) Qfus
βN = 2.7 q95=4.4 n/nG = 0.85B = 5.3 T I = 10.8 MA
ITPA Joint Experiment Wade – Wed. PM Talk
*DIII–D Actual Value
0 2 4 6 8Time (s)
G
0
3
6
9
12
0
1
2
3
4
1.0
0.8
0.6
0.4
0.2
0.0
PNB (MW)
<PNB> (MW)<PNB> (MW)
Flattop Time = 3900s >1 hour
DIMENSIONLESS SCALING EXPERIMENTS SHOWENERGY CONFINEMENT IS INDEPENDENT OF BETA
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
β scalings for direct experiments and database analysis are very different
DIII–DJET
0 1 2 3thβN
IPB98 y2 Prediction
α
0.5
τE ∝βα
0.0
–0.5
–1.0
ITPA Joint Experiment Cordey – Thurs. AM Poster
τE=0.0562 I0.93 B0.15 n0.41 P–0.69 R1.97 A–0.58 κ0.78 M0.19
BτE
∝ ρ*–2.70 β–0.90 ν
*–0.01 q–3.0
IPB98y2
τE=0.028 I0.83 B0.07 n0.49 P–0.55 R2.11 A–0.3 κ0.75 M0.14
BτE
∝ ρ*–3 β0 ν
*–0.14 q–1.7
DS03
Absence of β dependence is consistent with drift-type turbulence
STATIONARY HIGH PERFORMANCE DISCHARGES HAVEBEEN OBTAINED OVER A WIDE RANGE OF PARAMETERS
248-04/TCL/rsNATIONAL FUSION FACILITYS A N D I E G O
DIII–D
Pressure limit higher without sawteeth
Fusion performance maximizes at low q95
Confinement drops slightly with increasing density
βN
G=βNH89/q952
q95
Sawteeth No Sawteeth
ITER BaselineTarget
ITER Baseline Target
ITPA Joint Experiment Wade – Wed. PM Talk
2.5 3.0 3.5 4.0 4.5 5.0q_951
2
3
4
2.5 3.0 3.5 4.0 4.5 5.00.0
0.2
0.4
0.6
0.8
H98y2
ITER ν* Ti/Te = 1
0.0 0.2 0.4 0.6 0.8 1.0ne /nG
0.5
1.0
1.5
2.0
2.5
3.0q95=4.4
q95=3.2H89
ITERBaselineTarget
ROBUST STABILIZATION OF m=2/n=1 TEARING MODEOBTAINED WITH ELECTRON CYCLOTRON CURRENT DRIVE
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
This instability sets the operational β limit in the ITER baseline scenario. Locking of this mode often leads to disruptions ⇒ stabilization would avoid more extreme mitigation measures
Stabilization is obtained at high pressure (βN = 2.8, βP = 1.1)
Stabilization is optimized automatically by active feedback system to place the ECCD at the location of the instability
Petty – Thurs. PM Talk
βN
βp
116015
B (n=1) (G)~
PEC (MW)
0 2 4 6 8Time (s)
I × 10 (MA)
PNB (MW)
0
10
20
30
0
2
4
6
0
1
2
3
4
0
5
10
15
<PNB> (MW)
STOCHASTIC EDGE ELIMINATES LARGE TYPE-I ELMS
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Non-axisymmetric fields (n=3) have been used to eliminate ELMs — Edge instability changes character — Power flow is still to the divertor — Technique applied in ITER shape
Impulsive heat flux reduced by at least a factor of 3
Confinement and edge pedestal height unchanged
Evans – Tues. PM Talk
0 1 2 3 4 5 6
0 1 2 3 4 5 6
W (MJ)
3.0 3.5 4.0 4.5Time (s)
Div. Dα (a.u.)
n=3 FieldAmplitude
n (1019/m3)
0
2
4
6
8119700 (coils off) 119690 (coils on)
0.00.2
0.4
0.6
0.8
1.0
0.0
0.2
0.4
0.6
0.8
CARBON MIGRATION USING 13C AS A TRACER INDICATESTRITIUM CO-DEPOSITION MAY BE LOCALIZED
AT THE INNER DIVERTOR
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Measured deposition highly localized at inner divertor; toroidally symmetric
Modeling of deposition, carbon plume, and core carbon inventory requires flow velocity M~0.4 at the separatrix in the direction of the inner divertor
116243 3000.00EFIT03
13CInjection
Deposition
67
89 109A
9A
11 1212A
12A
Technique Pioneeredby JET
1516 17
0
1
2
3
C13
(10
17 A
tom
s/cm
2 )
Inner Strike Point Outer Strike Point
6 7 8 9 121110 15 16 17
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Full non-inductive discharges in present tokamaks that project to high fusion gain are a necessary first step
Control of discharge parameters and instabilities will be an essential component of a steady-state tokamak
Baseline Scenario(qmin ~1, q95 ~3)
1.0 2G = βN H89/q95
0.8
0.6
G
0.4
0.2
0.00.0 0.2 0.4
Bootstrap Current Fraction
fBS
0.6 0.8 1.0
Hybrid Scenario(qmin ~1, q95 ~4)
Steady-StateScenario(qmin = 1.5–2.5,q95 = 4–6)
ITER Steady-State Target
STEADY-STATE TOKAMAK OPERATION REQUIRES A COMPROMISEBETWEEN FUSION PERFORMANCE AND BOOTSTRAP CURRENT
Other
FULL NON-INDUCTIVE DEMONSTRATIONDISCHARGE HAS BEEN OBTAINED
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Pressure at or above the no-wall pressure limit (βN≥4 li) for high fusion power
Elevated qmin (>1.5) for enhanced bootstrap current (fBS ~0.6)
Reduced current (q95 ~5) to minimize non-inductive current requirements
βN
4 liH89
Vsurf (V)
120096
ITPA Joint Experiment Murakami – Tues. AM Talk
G
2.0 2.5 3.0 3.5 4.0 4.5 5.0Time (s)
01
2
34
–0.1
0.0
0.1
0.20.00.10.20.30.40.5
0
5
10
15
PNB (MW)
I × 10 (MA)
PEC (MW)<PNB> (MW)
FULL NON-INDUCTIVE DEMONSTRATIONDISCHARGE HAS BEEN OBTAINED
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
B = 5.3 T
I = 9.3 MA
n = 0.63×1020 m–3
PNB = 33 MW
PEC = 20 MW
PIC = 20 MW
Pfus = 340 MW
Type I ELMs
βN = 2.8
q95 = 5.4
HDS03 = 1.28
INB = 2.3 MA
IEC = 0.5 MA
IIC = 0 MA
IBS = 6.7 MA
Qfus = 4.7
ITPA Joint Experiment Murakami – Tues. AM Talk
βN
4 liH89
Vsurf (V)
120096
G ITER Steady-State Target
2.0 2.5 3.0 3.5 4.0 4.5 5.0Time (s)
01
2
34
–0.1
0.0
0.1
0.20.00.10.20.30.40.5
0
5
10
15
PNB (MW)
I × 10 (MA)
PEC (MW)<PNB> (MW)
MEASUREMENTS AND MODELING INDICATE FULL NON-INDUCTIVECURRENT SUSTAINMENT WITH GOOD ALIGNMENT
248-04/TCL/rsNATIONAL FUSION FACILITYS A N D I E G O
DIII–D
Surface voltage from equilibrium reconstructions shows no net inductive flux (but note ℜ = 0.15 µΩ ⇒ 15 mV = 100 kA)
Internal electric field determined from equilibrium reconstructions shows little spatial structure ⇒ non-inductive sources well aligned to total current
Toroidal electric field inferred directly from MSE data confirms equilibrium analysis
Modeling gives nearly full non-inductive current: — Bootstrap 59% — Neutral Beam 31% — Electron cyclotron 8% — Inductive 2%
JTOT
JIND
0.0 0.2 0.4 0.6 0.8 1.0ρ–50
0
50
J (A
/cm
2 )
100
150Measurements Modeling
ITPA Joint Experiment Murakami – Tues. AM Talk
0.0 0.2 0.4 0.6 0.8 1.0
JTOT
JEC
JBSJNB
JIND
Radius, ρ
J (A
/cm
2 )
–50
0
50
100
150
TRANSFORMERLESS OPERATION SHOWS CONTROL OFHIGH BOOTSTRAP FRACTION PLASMAS WILL BE CHALLENGING
248-04/TCL/rsNATIONAL FUSION FACILITYS A N D I E G O
DIII–D
The desired steady-state operating point may not be a stationary solution to the coupled fluid equations. If not, active control is required.
Inductive control of the plasma current may be desirable ⇒ non-inductive overdrive will be required.
At high safety factor (q95~10) and high qmin (~3), the bootstrap current fraction is >80%.
PNB (MW)
119787
Politzer – Wed. PM Poster
I (MA)
0 1 2 3 4 5 6Time (s)
qmin
βN
4 liH89
<PNB> (MW)
0
5
10
15
0.50
0.60
0.70
0
1
2
3
4
1
2
3
4
ACTIVE RESISTIVE WALL MODE STABILIZATION ALLOWSEXTENDED OPERATION ABOVE THE NO-WALL PRESSURE LIMIT
248-04/TCL/rsNATIONAL FUSION FACILITYS A N D I E G O
DIII–D
Rotation is effective in stabilizing the RWM up to the ideal-wall limit in many cases
Rotation is ineffective in the case shown, perhaps due to a reduction in the number of rational surfaces in the plasma interior (lower q95)
Active feedback using the 12 internal coils in n=1 symmetry allows operation above the no-wall limit for ~200 growth times
1.0 2.01.5 2.5Time (s)
30
0
200
Estimated no-wall limit n=1 current
βN
0
4
Vφ (km/s)
∆Br (n=1) (G)
0
With Feedback 119666 Without Feedback 119663
Okabayashi – Wed. AM Talk
PROGRESS IN UNDERSTANDING TOKAMAK PHENOMENAIS BEING MADE IN MANY AREAS
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Magnetic geometry changes the character of the sawtooth instability
Development of diagnostics and theory to understand the H–mode pedestal
Electron heat transport exhibits no threshold behavior
Plasma fueling is dominated by neutrals originating in the divertor
Plasma rotation is strongly changed by ECH (no external torque applied)
Gas jets mitigate disruptions safely despite a short penetration length
SAWTOOTH INSTABILITY CHANGES CHARACTERWITH CROSS-SECTION SHAPE
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–DLazarus – Fri. AM Poster
Indented plasmas:— Electron and ion temperatures remain close
— Significant evolution of the central current density
Oval plasmas:— Ion temperature significantly above electron temperature despite roughly equal heating
— No significant evolution of the central current density
Te (keV)
Ti (keV)
Pitch Angle (deg)
PLASMAS THAT VIOLATE THE MERCIER CRITERIONDO NOT SUPPORT AN ELECTRON PRESSURE GRADIENT
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Mercier limit occurs at q<1
Local electron heating results in strongly increased gradient
Mercier limit occurs at q>1
Local electron heating results in almost no change in gradient
Lazarus – Fri. AM Poster
1.2 1.4 1.6 1.8 2.0 2.2Rvac (m)
0
1
2
3
4
5
Te (k
eV)
3000 3050 3100 3150Time (ms)
0
1
2
3
4
5
1.2 1.4 1.6 1.8 2.0 2.2Rvac (m)
0
1
2
3
4
5
Te (k
eV)
3700 3740 3780Time (ms)
0
1
2
3
4
5
118163
CentralTe
ECHPower
118150
118163
118150 Oval Plasmas:
Indented Plasmas:
PREDICTIVE UNDERSTANDING OF THE EDGE PEDESTAL REQUIRESCONTINUING IMROVEMENTS IN MEASUREMENT AND THEORY
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Need continuous electron pressure measurement
Pedestal Pressure Pedestal Current Stability Theory
Need improved time resolution
Need nonlinear (time-dependent) theory
–10.0 –5.0 0.0R–Rsep (cm)
5.0
Fenstermacher – Wed. AM Poster West – Thurs. AM Poster
Er (kV/m)
R–Rsep (cm)
2.252.202.15R (m)
ELITE n=18DIII–D 119449
PeelingUnstable
Strong Shaping
BallooningUnstableWeak Shaping
Stable
p′ped
J ped
0
–100
–50
50–10
0
10
20
30 JTOR (A/cm2)JTOR (A/cm2)
JBS (calc)–150.0
0.3
0.6
CVI Density0.9(1018 m3)
1.2
1.5
–10 –5 0 5
CONCLUSIONS
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Performance projections for ITER using the present design basis are conservative. DIII–D results provide confidence in reaching the ITER performance targets and optimism that they can be exceeded. Technical challenges are being addressed actively.
A steady-state tokamak scenario has been demonstrated in DIII–D that projects to modest fusion gain in ITER. The ability to control such plasmas near the performance boundaries is the next task.
The DIII–D facility is providing unprecedented views of tokamak phenomena, enabling the development and validation of theories and models of plasma behavior.
DIII–D AND GENERAL ATOMICS PRESENTATIONS
248-04/TCL/rsNATIONAL FUSION FACILITY
S A N D I E G O
DIII–D
Tuesday Wednesday Thursday Friday Saturday
AMTalks
Murakami –Steady-stateScenario
Evans – ELMs(Suppression, etc.)
Wade – HybridScenarios
Ferron – β Limitsin Steady-State ScenariosPolitzer – HighBootstrap Discharges
Solomon – PoloidalRotation
DeBoo – CriticalGradientsRhodes –TurbulenceMeasurements
Petty – TearingModes
Okabayashi –RWM Control
Fenstermacher –Pedestal Physics
Waltz –GyrokineticSimulations
Hollmann –Disruptions
West – QH–ModeKinsey – TransportModelingParks– Pellets
Petrie – DivertorGeometry and PumpingGroth – Plasma FuelingRudakov – SOL TransportLazarus – SawteethdeGrassie – Rotation
Nazikian – EnergeticParticlesFredrickson – MHDInstabilities
AMPosters
PMPosters
Burning Plasma Steady-State Tokamak Physics Other
PMTalks