stability, energetic particles, waves, and current drive ... · the bootstrap current and that...

10
Stability, Energetic Particles, Waves, and Current Drive Summary R.D. Stambaugh, General Atomics This is the summary paper for the subjects of plasma stability, energetic particles, waves, and current drive for the 20th IAEA Fusion Energy Conference, 1-6 November 2004, Vilamoura, Portugal. Material summarized herein was drawn from 65 contributed papers and 21 overview papers. The distribution of contributed papers by subjects in shown in Table I. Significant advances were reported on the principal instabilities in magnetically confined plasmas, even looking forward to the burning plasma state. Wave-plasma physics is maturing and novel methods of current drive and non- inductive current generation are being developed. Resistive Wall Modes (RWM) The kink mode with dominantly external character is the most important instability in the tokamak. It sets the operating space limits in pressure and current with disruptive discharge terminations. In the presence of a conducting wall, the dispersion relation for the external kink has Table I. Distribution of Contributed Papers Subject Papers Resistive wall modes 7 Disruptions 6 Neoclassical tearing modes 6 Edge localized modes and the edge pedestal 13 Other Stability Topics 9 Alfvén modes 9 Wave physics 10 Current drive 5 Total 65 two roots, the ideal kink root and the resistive wall mode root. The ideal kink mode has submillisecond growth times while the resistive wall mode has growth times characterized by the several millisecond flux diffusion time of the conducting shell [Mauel EX/P5-13]. NSTX [Sabbagh EX/3-2] has reported exceeding the no-wall kink limit with sufficient toroidal rotation to stabilize the resistive wall mode. Toroidal beta values up to 39% and β N up to 6.8 have been achieved. The plasma can remain with β N above the no-wall limit for many wall times as long as the rotation is maintained (Fig. 1). Resonant field amplification of a linearly stable RWM can produce non-axisymmetries in the magnetic field structure which produce drag that lowers the rotation [Garofalo 2002]. If the rotation falls below a critical threshold, the RWM becomes unstable. NSTX has shown the critical rotation is crit = ω A /(4q 2 ), the result of Bondeson and Chu. NSTX presented evidence the rotation damping was owing to neoclassical toroidal viscosity. NSTX is adding a set of feedback coils to counteract the resonant field amplification to sustain the rotationally stabilized plasmas. The DIII-D tokamak has added a set of 12 internal single turn feedback coils above and below the midlplane to its previous set of six external midplane coils to provide fast direct feedback control of the RWM in plasmas in which the rotation is below threshold [Okabayashi EX/3-1Ra, Reimerdes EX/3-1Rb]. Direct feedback has sustained a plasma with β N almost 4 and well over the no-wall limit for over 1 second (Fig. 2). The EXTRAP T2R Reversed Field Pinch is using a set of 16 toroidal by 4 poloidal feedback coils to push down the ampli- tude of a broad toroidal spectrum of modes [Drake EX/P2-20]. Fig. 1. Operation in NSTX with β N / β N no wall > 1.3 at highest β N for pulse >>τ wall .

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Page 1: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

Stability, Energetic Particles, Waves, and Current Drive Summary

R.D. Stambaugh, General Atomics

This is the summary paper for the subjects of plasma stability, energetic particles, waves, andcurrent drive for the 20th IAEA Fusion Energy Conference, 1-6 November 2004, Vilamoura,Portugal. Material summarized herein was drawn from 65 contributed papers and 21 overviewpapers. The distribution of contributed papers by subjects in shown in Table I.

Significant advances were reported on theprincipal instabilities in magnetically confinedplasmas, even looking forward to the burningplasma state. Wave-plasma physics is maturingand novel methods of current drive and non-inductive current generation are being developed.

Resistive Wall Modes (RWM)

The kink mode with dominantly externalcharacter is the most important instability in thetokamak. It sets the operating space limits inpressure and current with disruptive dischargeterminations. In the presence of a conducting wall,the dispersion relation for the external kink has

Table I. Distribution of Contributed Papers

Subject PapersResistive wall modes 7Disruptions 6Neoclassical tearing modes 6Edge localized modes and

the edge pedestal13

Other Stability Topics 9Alfvén modes 9Wave physics 10Current drive 5Total 65

two roots, the ideal kink root and the resistive wall mode root. The ideal kink mode hassubmillisecond growth times while the resistive wall mode has growth times characterized by theseveral millisecond flux diffusion time of the conducting shell [Mauel EX/P5-13]. NSTX[Sabbagh EX/3-2] has reported exceeding the no-wall kink limit with sufficient toroidal rotationto stabilize the resistive wall mode. Toroidal beta values up to 39% and βN up to 6.8 have beenachieved. The plasma can remain with βN above the no-wall limit for many wall times as long asthe rotation is maintained (Fig. 1). Resonant field amplification of a linearly stable RWM canproduce non-axisymmetries in the magnetic field structure which produce drag that lowers therotation [Garofalo 2002]. If the rotation falls below a critical threshold, the RWM becomesunstable. NSTX has shown the critical rotation is Ωcrit = ωA/(4q2), the result of Bondeson andChu. NSTX presented evidence the rotation damping was owing to neoclassical toroidalviscosity. NSTX is adding a set of feedback coils to counteract the resonant field amplification tosustain the rotationally stabilized plasmas.

The DIII-D tokamak has added a set of 12internal single turn feedback coils above andbelow the midlplane to its previous set of sixexternal midplane coils to provide fast directfeedback control of the RWM in plasmas inwhich the rotation is below threshold[Okabayashi EX/3-1Ra, Reimerdes EX/3-1Rb].Direct feedback has sustained a plasma with βNalmost 4 and well over the no-wall limit for over1 second (Fig. 2). The EXTRAP T2R ReversedField Pinch is using a set of 16 toroidal by 4poloidal feedback coils to push down the ampli-tude of a broad toroidal spectrum of modes[Drake EX/P2-20].

bN

2

10

3

4

5

6

7

DCON

dW

0

10

20

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

Time(s)

n=1 (no-wall)

n=1 (wall)

Wall stabilized

112402

Core plasma rotation

(´10 kHz)

Fig. 1. Operation in NSTX with βN/ βNno wall−

> 1.3 athighest βN for pulse >>τwall.

Page 2: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

Rotational stabilization of the RWMrequires a damping mechanism. Wall sta-bilizaion has early roots in the Reversed FieldPinch operating inside a conducting shell. Thedamping of toroidal rotation in MST [PragerOV/4-2] was attributed to the dissipation ofthe eddy currents induced by the modes in theconducting shell. This was the first idea fordamping in the tokamak, but recent researchhas focused on damping mechanisms in theplasma itself. The predictions of the MARScode were compared with measurements ofΩcrit/ωA from DIII-D [Okabayashi EX/3-1Ra,Reimerdes EX/3-1Rb] and with resonant fieldamplifications factors measured on JET[Hender EX/P2-22] with the result that bothsound wave damping and kinetic dampingwere close to the measurements, but moreresearch is needed to pin down the dampingmechanism.

Disruptions

Unstabilized resistive wall modes causedisruptions, which can cause excessive pulsedheat loads to in-vessel components, largeelectromagnetic forces, and runaway electrons[Plyusnin EX/2-27]. Repetitive bursts of non-thermal x-ray radiation (E ~ 25-100 keV) inT-10 [Savrukhin EX/P2-28] came fromforward bremsstrahlung emission of thesuprathermal electrons undulating throughmagnetic fields with ripples duringdisruptions.

Massive gas injection in DIII-D[Hollmann EX/10-6a], JT-60U [BakhtiaraEX/10-6b], and Tore-Supra [Martin EX/10-Rc] has successfully mitigated all these conse-quences of disruptions. To prevent runawaygeneration an electron density of at least5×1021 m-3 has to be produced in less than

4

With feedback

With feedback

F.B on

Nofeedback

Nofeedback

Feedback coil current amplitude

Estimated no-wall limit

119666/119663

0200

030

01000 1500 2000

Time (ms)

bNFeedback

Current(kA)

Plasm

aRotation

(km/s)

n=1

dBpMode

Amplitude

(gauss)

2500

Fig. 2. Direct feedback in DIII-D enables sustainedoperation well above the no-wall limit when plasmarotational stabilization is insufficient.

Tore Supra

1012

1011

1010

109

108

0.6 0.8 1.0

Plasma Current (MA)

He gas jet

Normal disruptions

1.2 1.4

Neutrons

Fig. 3. Huge reduction in photo-neutrons fromrunaways in Tore-Supra with massive gas injection.

1 ms [Rosenblugh 1996]. Values approaching this threshold have been used in DIII-D and Tore-Supra. Runaways are reduced 3-4 orders of magnitude in Tore-Supra (Fig. 3). Further research isneeded on how these gas jets penetrate larger, high magnetic field plasmas.

Neoclassical Tearing Modes (NTM)

Neoclassical tearing modes, the second most important instability in the tokamak, can sub-stantially reduce confinement and the 2/1 mode, if too large, can lead to disruption. They arebelieved to originate with a seed island and the flattening of the pressure in that island removes

Page 3: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

the bootstrap current and that resulting helical current perturbation causes the island to grow.Buttery [Buttery EX/7-1] showed the scaling produced by JET, DIII-D, and ASDEX-Upgradefor the threshold in βpe for island growth versus ρ θi

* . At its low value of ρ θi* , ITER’s βpe will be

well above this multi-machine threshold scaling. However, Buttery pointed out that this scalingis not usefully accurate in predicting NTM onset in any particular discharge and so he suggestedwe should look most carefully to the seed island generating mechanisms, for example sawteethor ELMs. Interestingly, theory work by Brennan (reported in Ref. [Petty EX/7-3]) suggestsordinary, classical tearing mode instability if the plasma has large enough beta and is near anideal mode limit, perhaps obviating the need to invoke NTM seed islands. Pustovitov [PustovitovTH/6-3] suggested that the resonant field amplification produced near the RWM limit couldproduce seed islands. Both the work of Brennan and Pustovitov suggest experimentalists shouldexpect tearing modes near ideal beta limits.

ASDEX-Upgrade [Maraschek EX/7-2] reported that off-axis electron cyclotron current drive(ECCD) could prevent sawteeth and when there were no sawteeth, there were no NTMs; how-ever when the ECCD shut off, sawteeth occurred immediately and the first sawtooth triggered anNTM. JET [Buttery EX/7-1] showed that off-axis ion cyclotron current drive (ICCD) couldreduce the period and amplitude of sawteeth. ASDEX-Upgrade [Maraschek EX/7-2, GünterOV/1-5] reported the frequently interrupted regime (FIR) of NTMs in which the coupling ofphase locked 3/2, 4/3, and 1/1 modes reduced substantially the amplitude of the 3/2 mode.

DIII-D [Petty EX/7-3] and ASDEXUpgrade [Maraschek EX/7-2] achieved com-plete suppression of the most important 2/1NTM by ECCD inside the island to replace themissing bootstrap current (Fig. 4). DIII-D hadsufficient ECCD power to sustain the suppres-sion even when sawteeth were present to pro-voke seed islands. JT-60U [NagasakiEX/10-3] showed that application of ECCDearly in the growth of the 3/2 NTM couldsuppress the mode with less power than laterapplication and accounted for this resultthrough the modified Rutherford equation.

Edge Localized Modes (ELMs) and theEdge Pedestal

H-mode plasmas have a zone just insidethe separatrix in which sheared E×B flowstrongly suppresses the turbulent transport,

DIIIÐD

8

0

2

040

20

0

3 4 5

Time (s)

n=1 (G)

bN

4 li

bp

6 7

4

4

PNB (MW)

PEC (MW)

Fig. 4. Suppression of the 2/1 neoclassical tearingmode in DIII-D with localized ECCD to replace themissing bootstrap current in the island.

resulting in a very large pressure gradient. This superb confinement zone only penetrates a fewcentimeters to where the pressure stops rising and forms an edge pedestal. With a stiff model forthe interior plasma transport, the overall fusion gain in ITER will be controlled by this pedestalheight. The pedestal height is set by the product of the edge pressure gradient and the pedestalwidth.

The edge pressure gradient is limited by the ELMs. The peeling-ballooning model of edgeplasma stability takes into account both the pressure gradient drive and the very large andlocalized peak in the bootstrap current which is calculated to arise from the large pressuregradient. With this current peak providing second stability for infinite-n ballooning modes, thecombination of pressure gradient and edge current is still unstable to intermediate n modes. Adirect measurement of this heretofore calculated edge current density peak was made by lithium

Page 4: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

beam spectroscopy in DIII-D [FenstermacherEX/2-5Rb]. The peak is very large and ingood accord with NCLASS calculations(Fig. 5). This measurement has providedclosure to the edge peeling-ballooning stabilitypicture.

This stability picture can account for thedifference between the large Type I ELMs andthe small Type II or Grassy ELMS in JT-60U[Oyama EX/2-1]. The radial depth of the ELMdisturbance correlates very well with the radialdepth of the main n~13 eigenfunction calcu-lated by theELITE peeling-ballooning code.The measured edge pressure gradient inASDEX-Upgrade is found to be consistentwith ideal MHD stability limits for bothType I and II ELMs [Horton EX/P3-4]. Thegrassy ELM regime was found in ASDEX-Upgrade [Horton EX/P3-4] but found in JETonly at low plasma current [Stober EX/P1-4].This picture of ELMs as n~10 modes suggestsa highly filamentary nature for the ELM andthis filamentary nature has been confirmed bypictures from DIII-D [FenstermacherEX/2-5Rb], MAST [Kirk EX/2-3] (Fig. 6),NSTX [Maingi EX/2-2] and in heat fluxpatterns on the divertor plates in ASDEX-Upgrade [Herrmann EX/2-4Rb] and indetailed analysis of data from JET[Fundamenski EX/2-4Ra]. Solano [SolanoEX/P1-3] has suggested ELMs could beassociated with fragile equilibria and separa-trix instabilities: previously closed field lineswould open up, releasing plasma current andleading to the formation of a new, smallerseparatrix.

ASDEX-Upgrade [Lang EX/2-6] hasshown a way to reduce the size of Type IELMs by pellet pacemaking in which a streamof small pellets is injected at a frequencygreater than the ELM frequency. Then theELM frequency becomes the pellet frequencyand the higher ELM frequency results in asmaller size per ELM.

The Quiescent H-mode (QH-mode) firstdiscovered in DIII-D [Burrell 2001] withcounter injection and divertor pumping hasnow been reproduced very solidly on ASDEX-Upgrade [Suttrop EX/1-4] (Fig. 7) and JT-60U

0

–1

1

2

3

Cur

rent

Den

sity

(M

A/m

2 ) JH-mode

JNCLASS

JL-mode

2.15 2.20 2.25

R(m)

Fig. 5. Measurement of the bootstrap current peakby a lithium beam diagnostic in the H-modepedestal in DIII-D.

Fig. 6. Filamentary structure of ELMs displayed inMAST.

08

L-H

Neutral beam power

H-L

Daintensity (inner divertor)

6

4

2

0

01

1 2 3

Time (s)

Central line density

Peripheral line density

Coupled ICRH powerRadiated power

4 5

2345

a.u.

MW

1019mÐ2

Quiescent H-mode

Fig. 7. QH-mode achieved in ASDEX-Upgrade.Densities and radiated power do not increase duringthe quiescent phase.

Page 5: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

[Oyama EX/2-1]. ASDEX-Upgrade finds the pedestal unchanged from ELMing H-mode andsuggests the stability of the plasma to ELMs might be caused by an edge electric field wellobserved to be twice as deep as in ELMing H-mode or enhanced fast particle density in thepedestal region. The edge harmonic oscillation (EHO) and a high frequency oscillationamplitude modulated in time are essential features of QH-mode in ASDEX-Upgrade. JT-60Ufinds the pedestal pressure in QH-mode about 18% less than in ELMing H-mode, perhapsaccounting for the stability. An ELITE code analysis of QH-mode stability in DIII-D [WestEX/P3-14] showed the edge plasma to be in a stable zone produced by strong edge shaping. JT-60U [Oyama EX/2-1] exploited their unique co- and counter-injection capabilities to study ELMbehavior versus edge plasma rotation; large Type I ELMs have about zero edge rotation whilesmall grassy ELMs have strong edge counter-rotation.

The application of edge magnetic field perturbations in DIII-D [Evans EX/2-5Ra] from theinternal RWM coil set has been shown to almost completely suppress Type I ELMS whileleaving a good edge pedestal.

All the research above concerns what limits the edge pressure gradient, but the physics thatsets the width of the edge pedestal remains elusive. DII-D and JET [Fenstermacher EX/2-5Rb]have shown the width of the density pedestal is set by neutral penetration, but the temperaturewidth and thus the entire pedestal width is larger.

Other Stability Topics

NSTX [Menard EX/P2-26] has observed that strongly sheared interior plasma rotation canreduce the growth rate of internal kink modes. Studies of plasmas with interior bean or ovalshapes in DIII-D [Lazarus EX/P5-11] have shown plasmas that violate the Mercier criterion dono support an electron pressure gradient.

Monster sawtooth control was shown in JET [Buttery EX/7-1] by using ICCD just outsidethe q=1 surface to reduce the amplitude and period of sawteeth. In TEXTOR [Westerhof EX/P5-16], co-ECCD outside the inversion radius or counter-ECCD inside the inversion radiuslengthen the sawtooth period.

Error field studies in Alcator C-Mod [Hutchinson EX/P5-6], when combined with previousdata from Compass-D, DIII-D, and JET, imply tolerable error fields in ITER will be about 10-4

whereas scalings previous to the Alcator C-Mod results implied error field correction to 10-5

would be required.Beta in the LHD stellarator [Watanabe

EX/3-3] has been pushed up to 4% (Fig. 8).This level of beta and pressure gradient isjust at the predicted m/n=1/1 mode limitand substantially above the Mercier cri-terion. The plasmas still appear power bal-ance limited; no clear MHD limitingphenomena are seen. Beta in W7-AS[Zarnstorff EX/3-4] also appears powerbalance limited; PIES code calculationsshow an increasing amount of good fluxsurfaces lost as beta rises, perhaps produc-ing the power balance limit.

In CT-6B [Khorshid EX/P5-8], limiterbiasing affects rotation which affectsstability. In HL-1M [Liu EX/P5-12], snakeperturbations are excited by pellet injection

00

4

8

Mercier

g/wA=10Ð2

Currentless m/n=1/1 unstable

0.5´10Ð2

12

db/dr(%

)

r=0.9 (i~1)

dbkin

/dr

1 2 3

ábdiañ (%)

4

Achieved beta is close

to the m/n=1/1 ideal

mode limit

Achieved beta

significantly exceeds

the Mercier limit

Fig. 8. Beta values and pressure gradients achieved inLHD reach the ideal m/n=1/1 limit (red) but exceed theMercier limit (blue dashed).

Page 6: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

during LHCD. In HANBIT [Jhang EX/P9-6Rb], an interchange stability window was observedwith strong rf.

Alfvén Modes and Energetic Particle Modes

Instabilities associated with energetic particle populations are a concern for burning plasmaexperiments that create a substantial alpha particle population. Such modes are studied in currentexperiments by for example the use of ICRF heating of neutral beam injected alpha particles inJET [Sharapov EX/5-2Ra] exciting alpha cascades or ICRH produced ion tails in ASDEX-Upgrade [Borba EX/P4-37] exciting TAE modes.

Nazikian [Nazikian EX/5-1] discussed how the cascade modes have been used on bothAlcator C-Mod and JET as a diagnostic of the evolution of qmin in discharges. These modesoriginate in the zero shear region of qmin and their frequency varies quite rapidly as qmin evolvesand the modes evolve to TAE modes. These behaviors can be used to deduce the time evolutionof qmin with high accuracy.

A real breakthrough [Nazikian EX/5-1](Fig. 9) has occurred in the use of interiorplasma diagnostics (e.g. interferometer mea-surements on JET [Sharapov EX/5-2Ra])which have revealed the existence of muchricher mode spectra than could be previouslyseen on just external magnetic diagnostics. A“sea of Alfvén eigenmodes” [Nazikian EX/5-1] was observed with FIR scattering onDIII-D. The observations were in accord witha simple model of cascade modes using themotional Stark effect (MSE) measured evolu-tion of qmin.

An aspect ratio comparison experiment[Fredrickson EX/5-3] between DIII-D andNSTX showed TAE modes can causesignificant energetic particle losses, up to 15%drops in the DD neutron rate.

160Increasing n

(a)

(b)

140120100

806040

160

140120100

806040

3.6

9

8

7

6

3.8

Pulse No: 60935 Log | Acosf |qmin =2

4.0 4.2 4.4 4.6 4.8 5.0

3.6 3.8 4.0 4.2 4.4 4.6 4.8 5.0

Log dB

Time (s)

Frequency

(kHz)

Frequency

(kHz)

Fig. 9. Interferometer measurements (top) reveal manyhidden modes in reverse shear plasmas in JET notdetectable by edge magnetic diagnostics (bottom).

In a JT-60U weak shear plasma [Ishikawa EX/5-2Rb], the 387 keV NNBI drives a burstingmode in the TAE range dubbed the abrupt large event (ALE). Neutron emission and neutralparticle diagnostics show ions in a limited energy range are transported radially outward by theALEs. Modeling work has explained these phenomena.

The configuration dependence of energetic ion driven Alfvén eigenmodes were explored inLHD [Yamamoto EX/5-4Rb] because the existence and stability of these modes depend on theprofiles of the rotational transform and magnetic shear. They found continuum damping relatedto the magnetic shear and the toroidal mode number is the most important damping mechanismin LHD.

In MAST [Sharapov EX/5-2Ra] energetic particle mode activity strongly reduces withincreasing plasma toroidal beta and vanish for beta over 15%, perhaps a favorable result towardthe future.

Page 7: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

Waves and Plasmas

Some key ICRF scenarios for ITER were investigated in JET [Lamalle EX/P4-26]. MinorityHe3 in H plasmas may be used in ITER before tritium is introduced. Minority T in D plasmasmay be used in initial limited use of tritium in ITER.

In Alcator C-Mod [Porkolab EX/P4-32], using H-He3 to simulate D-T, both phase contrastimaging (PCI) techniques and full-wave TORIC code modeling results show mode-conversion ofthe fast magnetosonic wave into dominantly the electromagnetic ion cyclotron waves (ICW)rather than the ion Bernstein waves (IBW). Mode conversion current drive has producedsignificant modification of the sawtooth period.

Direct launch IBW was done in FTU [Gomesano OV/4-6]. Heating from ICRF in mixed Hand D plasmas was studied in Globus-M [Gusev EX/P4-24] with both the fundamental andsecond harmonic resonances of both species simultaneously present in the plasma. Fundamentalheating of H unexpected by theory was found in T-11M [Maltsev EX/P4-29]. In NSTX [KayeOV/2-3], studies of High Harmonic (9th harmonic of D) fast wave absorption have indicatedparametric decay of the wave and associated edge thermal ion heating.

Successful ITER relevant LH wave lauching was done in JET [Mailloux EX/P4-28] with thelauncher a large distance from the plasma. When no gas was puffed, the LH coupling was poorduring the high power phase, indicating that the electron density at the grill was below the cut-offdensity. With CD4 puffing at the launcher to raise the density at the grill just above cutoff, thecoupling improved dramatically, and 2.5 MW of LH power was coupled with a 9 cm distancebetween plasma and launcher and Type I ELMs.

Successful use of prototype ITER-relevant LHCD launcher, the passive active multijunction(PAM), at 8 GHz was reported by FTU [Gormesano OV/4-6, Pericoli Ridolfini EX/5-5]. Highpower handling, good coupling properties, and current drive effects comparable to those of aconventional launcher were achieved. A multi-junction LH launcher with improved directionalitywas successfully used to drive current in HT-7 [Ding EX/P4-19].

Control of the LHCD location by phase control was shown on JT-60U [Suzuki EX/1-3].Current profile control by LHCD was used on HL-2A [Gao EX/P4-21] to generate reversedshear. H-mode was produced by off-axis LHCD in HT-7 [Wan OV/5-1Rb].

A 6.5 minute long discharge was sustained by LHCD in Tore-Supra [Jacquinot OV/2-2. InTRIAM-1M. [Zushi OV/5-2], a 5.6 hour discharge was sustained by LHCD.

Synergy between rf waves can increasecurrent drive efficiency. Tore-Supra [GiruzziEX/P4-22], Fig. 10 showed a substantialincrease in current drive efficiency when LHand EC waves were absorbed at the samelocation. A similar effect was seen in FTU[Gormesano OV/4-6]. HT-7 [Wan OV/5-1Rb]observed synergistic effects between LH andIBW waves.

Third-harmonic top launch of EC waveswas done on TCV [Alberti EX/P4-17] withresults in accord with theory.

Generating Current Without aTransformer

Steady-state operation of fusion deviceswill eventually require generating and sustain-

120

100

80

(kA)

60

40

20

00.05 0.15 0.25

rEC

rIIEC

0.35

Fig. 10. Increase in current drive in Tore-Supra whenLH and EC waves (red) are absorbed at the samelocation compared to EC waves alone (blue).

Page 8: Stability, Energetic Particles, Waves, and Current Drive ... · the bootstrap current and that resulting helical current perturbation causes the island to grow. Buttery [Buttery EX/7-1]

ing the plasma current without induction from a transformer. In NSTX [Kaye OV/2-3], up to140 kA plasma current was generated by co-axial helicity injection in transformerless startup.Also startup using only the PF coils was investigated. MAST [Counsell OV/2-4] starts up theplasma by pulsing the PF coils, forming two separate plasmas, and merging them together. TheLATE spherical torus [Maekawa EX/P4-27] has used EC preionization and pulsed PF coils tostartup without using the transformer. Transformerless startup was shown in JT-60U [TakaseEX/P4-34] to the 100 kA level by use of EC preionization and ramping the vertical field. In theMST RFP [Prager OV/4-2], probe and laser Faraday rotation measurements were used to showthe separate effects of the MHD dynamo and the Hall dynamo in generating the plasma current.

Transfomer recharging by excess (over 100%) noninductive current drive was shown. HT-7[Wan OV/5-1Rb] used LHCD to overdrive the current. JT-60U [Takase EX/P4-34] usedbootstrap current overdrive with neutral beam heating.

Future plasmas with almost all the plasma current supplied by the bootstrap effect and all theheating supplied by fusion alpha particles will be very self-organized indeed. First looks at suchplasma states indicate new and challenging long timescale control challenges await us in suchoperation. Fully noninductive plasmas with 80% bootstrap fraction and no use of the transformerin DIII-D [Politzer EX/P2-7] show holding a steady plasma current is challenging and transportbarriers come and go. In very long discharges, Tore-Supra [Imbeaux EX/P6-16] has seen steadyfew Hz electron temperature oscillations appear between 50 and 150 seconds after the dischargehad reached apparent steady-state. TRIAM-1M [Zushi OV/5-2] has seen plasma-wall interactionrelated regular oscillations with a 150 second period in their few hour discharges.

Conclusions

In resistive wall mode physics, there was much progress in fundamental understanding anddirect feedback with low rotation. For neoclassical tearing modes, ECCD suppression byreplacing the missing bootstrap current in the island is becoming an application. The massivegas injection technique has been shown to mitigate all important consequences of disruptions,but work remains to understand how the gas jets may penetrate into larger, higher magnetic fieldplasmas. For edge localized modes the peeling-ballooning model is converging and manyavenues of approach to tolerable ELMS (including no ELMs) in ITER are being pursued. Studiesof beta limits in stellarators are beginning. In Alfvén mode physics, internal plasma diagnosticsshow these modes are more pervasive than was thought. In wave-plasma interactions, synergybetween waves can increase current drive efficiency. Finally, we are beginning to see challengesfor the future in long pulse, transformerless operation.

References

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