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NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1 , R.E. Bell 2 , J.W. Berkery 1 , J.M. Bialek 1 , S.P. Gerhardt 2 , R. Betti 3 , D.A. Gates 2 , B. Hu 3 , O.N. Katsuro- Hopkins 1 , B. LeBlanc 2 , J. Levesque 1 , J.E. Menard 2 , J. Manickam 2 , K. Tritz 4 , and the NSTX Research Team 1 Department of Applied Physics, Columbia University, New York, NY, USA 2 Plasma Physics Laboratory, Princeton University, Princeton, NJ, USA 3 University of Rochester, Rochester, NY, USA 4 Johns Hopkins University, Baltimore, MD, USA Columbia APAM Plasma Physics Colloquium February 6, 2009 Columbia University, New York, NY Supported by Office of Science Culham Sci Ctr U St. Andrews York U Chubu U Fukui U Hiroshima U Hyogo U Kyoto U Kyushu U Kyushu Tokai U NIFS Niigata U U Tokyo JAEA Hebrew U Ioffe Inst RRC Kurchatov Inst TRINITI KBSI KAIST ENEA, Frascati CEA, Cadarache IPP, Jülich IPP, Garching ASCR, Czech Rep U Quebec College W&M Colorado Sch Mines Columbia U Comp-X General Atomics INEL Johns Hopkins U LANL LLNL Lodestar MIT Nova Photonics New York U Old Dominion U ORNL PPPL PSI Princeton U SNL Think Tank, Inc. UC Davis UC Irvine UCLA UCSD U Colorado U Maryland U Rochester U Washington U Wisconsin v1.1

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

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Page 1: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1

Macroscopic Stability Research on NSTX and a ReNeWed Future

S.A. Sabbagh1, R.E. Bell2, J.W. Berkery1, J.M. Bialek1, S.P. Gerhardt2, R. Betti3, D.A. Gates2, B. Hu3, O.N. Katsuro-Hopkins1, B. LeBlanc2, J. Levesque1, J.E. Menard2, J. Manickam2, K. Tritz4, and the NSTX

Research Team1Department of Applied Physics, Columbia University, New York, NY, USA

2Plasma Physics Laboratory, Princeton University, Princeton, NJ, USA3University of Rochester, Rochester, NY, USA

4Johns Hopkins University, Baltimore, MD, USA

Columbia APAM Plasma Physics Colloquium

February 6, 2009

Columbia University, New York, NY

Supported byOffice ofScience

Culham Sci CtrU St. Andrews

York UChubu UFukui U

Hiroshima UHyogo UKyoto U

Kyushu UKyushu Tokai U

NIFSNiigata UU Tokyo

JAEAHebrew UIoffe Inst

RRC Kurchatov InstTRINITI

KBSIKAIST

ENEA, FrascatiCEA, Cadarache

IPP, JülichIPP, Garching

ASCR, Czech RepU Quebec

College W&MColorado Sch MinesColumbia UComp-XGeneral AtomicsINELJohns Hopkins ULANLLLNLLodestarMITNova PhotonicsNew York UOld Dominion UORNLPPPLPSIPrinceton USNLThink Tank, Inc.UC DavisUC IrvineUCLAUCSDU ColoradoU MarylandU RochesterU WashingtonU Wisconsin

v1.1

Page 2: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 2

Key Research Challenge: Develop Stability and Control Understanding to Produce Continuous High Beta Plasmas Motivation

Future spherical torus (ST) magnetic fusion devices plan to run at high ratios of plasma pressure to magnetic field (beta) and with effectively continuous operation

Mega-Ampere level high beta ST plasmas have been reached Attention now turns to stability physics understanding and mode

control to maximize steady-state high beta conditions, minimize beta excursions, and largely eliminate disruptions

Outline Present macroscopic stability research on NSTX Related research / device upgrades planned for next five years Developing longer-term "ITER-era“ research plan through DOE's

ReNeW process

• community input strongly encouraged

• conduits for your input and collaborative discussion

Page 3: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 3

Understanding what profiles and control systems are needed for burning plasmas best occurs before such devices are built

FESAC US ST mission: Develop compact, high , burning plasma capability for fusion energy

Stability Goal (in one sentence) Demonstrate reliable maintenance of high N with sufficient physics understanding to

extrapolate to next-step devices

Knowledge base needed to bridge to these devices; + physics for ITER Demonstration = Control (of modes and plasma profiles):

• Need to determine what control is needed before CTF Understanding = Vary parameters (+operate closer to burning plasma levels):

• Collisionality: influences V damping

• Shaping:

• Plasma rotation level, profile:

• q level, profile:

CTF: N = 3.8 – 5.9 (WL = 1-2 MW/m2) ST-DEMO: N ~ 7.5

- Both at, or above ideal no-wall -limit; deleterious effects occur below Nno-wall

- high N accelerates neutron fluence goal - takes 20 years at WL = 1 MW/m2)

All influence -limiting modes:

Kink/ballooning, RWM, NTM}

Page 4: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 4

Development of device hardware empowers fundamental stability understanding for robust extrapolation to next-step STs

Operate at parameters closer to burning plasma (e.g. order of magnitude lower i (PTRANSP) ) High plasma shaping ( ~ 3), low li operation

• Vertical stability, kink/ballooning stability, coupling to passive stabilizers Resistive wall mode (RWM) stabilization

• Understand physics of passive mode stabilization vs. V at reduced i

Non-axisymmetric field-induced viscosity

• Non-resonant and resonant, due to 3-D fields and modes at reduced i

Control modes and profiles, understand key physics Dynamic error field correction (DEFC)

• Demonstrate sustained V with reduced resonant field amplification, under V profile control

Resistive wall mode control• Increase reliability of active control, investigate multi-mode RWM physics

under V, q control Tearing mode / NTM

• Stabilization physics at low A, mode locking physics under V, q control Plasma rotation control

• Sources (2nd NBI, magnetic spin-up) and sink (non-resonant magnetic braking)

Mode-induced disruption physics and prediction/avoidance

- New center stack (Bt = 1T, Ip = 2 MA)

- Liquid Li divertor

- 2nd NBI (incr.)- Singly-powered RWM control coils- RWM coil upgrade (incr.)

Page 5: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 5

Plasma equilibrium goal to access and maintain stable high N at high shaping

Progress Central coil PF1A modified (2005) to allow high shaping Sustained < 2.7, < 0.8; transient = 3 with record

shaping factor, SI q95(Ip/aBt) = 41• Note: Present CTF design has = 3.07, lower SI

Highest and SI plasmas reached N ~ 6 in 2008

Plan summary 2009-2011 Assess/utilize feedback control using real-time EFIT

and NBI power to avoid fast kink/ballooning disruptions Conduct experiments/analysis to maintain high SI

plasmas into wall-stabilized, high N > 6 operating space

Plan summary 2012-2013 Real-time MSE for evaluation of q in real-time EFIT Utilize/analyze feedback using stability models; q profile

control with 2nd NBI (incremental) Study ST-CTF target shapes (increased A) at low i with

favorable profiles, determine sensitivity to variations in li, D.A. Gates, et al., Nucl.

Fusion 47, 1376 (2007).

121241

t=275ms

Page 6: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 6

RWM active stabilization coils

RWM sensors (Bp)

RWM sensors (Br)

Stabilizerplates Stabilizer plates for kink

mode stabilization

External midplane control coils closely coupled to vacuum vessel

Varied sensor combinations used for feedback 24 upper/lower Bp: (Bpu, Bpl)

24 upper/lower Br: (Bru, Brl)

NSTX equipped for passive and active RWM control

Page 7: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 7

Active RWM control and error field correction maintain high N plasma

n = 1 active, n = 3 DC control n = 1 response ~ 1 ms <

1/RWM

N/Nno-wall = 1.5 reached

best maintains

NSTX record pulse lengths limited by magnet systems n > 0 control first used as

standard tool in 2008 Without control, plasma more

susceptible to RWM growth, even at high

Disruption at /2 ~ 8kHz near q = 2

More than a factor of 2 higher than marginal with n = 3 magnetic braking

0123456

0

5

10

15

20

02468

101214

-500

0

500

0 0.2 0.4 0.6 0.8 1.0 1.2Seconds

-10

-5

0

5

10

129283129067

Shots:

02

4

6

10

20

0

12840

500

-500

N

Bpu,ln=1(G)

IA (A)

0.0 0.2 0.4 0.6 0.8 1.0 1.2t (s)

129067

129283

n = 1 feedbackn = 3 correction

/2 (kHz)

N > Nno-wall

maintained

Nno-wall = 4 (DCON)

With controlWithout control

(Sabbagh, et al., PRL 97 (2006) 045004.)

Page 8: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 8

Probability of long pulse and <N>pulse increases significantly with active RWM control and error field correction

Standard H-mode operation shown Ip flat-top duration > 0.2s (> 60 RWM

growth times)

Ip flat-top duration (s)

Fre

quen

cy d

istr

ibut

ion

Control off (908 shots)

Control on (114 shots)

Control on

Control off

Control allows <N>pulse > 4 N averaged over Ip flat-top

Page 9: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 9

During n=1 feedback control, unstable RWM evolves into rotating global kink

-1.5

-1.0

-0.5

0

0.5

am

pere

s

5

10

15

20

25

Tesl

a

100

200

300

Degre

es

0.606 0.608 0.610 0.612 0.614 0.616 0.618 0.620

Seconds

-10

0

10

20

Gauss

128496

Bpn=

1 (G

)I A

(kA

)B

n=od

d (G

) B

pn=1 (

deg)

RFA RFA reduced

Mode rotationCo-NBI direction

RWM

128496

t (s)0.606 0.610 0.614 0.618

0.50

-1.0

0

10

20

300200100

0

100

-10

-0.5

-1.5

RWM grows and begins to rotate With control off, plasma

disrupts at this point With control on, mode

converts to global kink, RWM amplitude dies away

Resonant field amplification (RFA) reduced

Conversion from RWM to rotating kink occurs on w timescale

Kink either damps away, or saturates Tearing mode can appear

during saturated kink

1

1

Page 10: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 10

Initial transition from RWM to saturated kink

Tearing mode appears after 10 RWM growth times and stabilizes

USXR, no time filter, 128496

0.608 0.610 0.612 0.614time

0

2

4

6

8

10

12

14

Ch

ord

Nu

mb

er

USXR, 1 kHz<f<15 khz, 128496

0.608 0.610 0.612 0.614time

0

2

4

6

8

10

12

14

Ch

ord

Nu

mb

er

USXR, no time filter, 128496

0.608 0.610 0.612 0.614time

0

2

4

6

8

10

12

14

Ch

ord

Nu

mb

er

USXR, 1 kHz<f<15 khz, 128496

0.608 0.610 0.612 0.614time

0

2

4

6

8

10

12

14

Ch

ord

Nu

mb

er

Soft X-ray emission shows transition from RWM to global kinke

dge

core

0.608 0.610 0.612 0.614 0.616

t (s)

128496

spin-upRWM kink

edg

eco

re

RWM onset time + 35 ms

Transition from RWM to kink Tearing mode appears during kink21

edg

eco

re

USXR, 2 kHz<f<8 khz, 128496

0.6450 0.6452 0.6454 0.6456 0.6458time

0

2

4

6

8

10

12

14

Cho

rd N

um

ber

0.645 0.646t (s)

q = 2

filtered1 < f(kHz) <

15

Page 11: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 11

Low , high N plasma not accessed when feedback response sufficiently slowed

Low access for ITER study use n = 3 braking

n = 1 feedback response speed significant “fast” (unfiltered)

n = 1 feedback allows access to low V, high N

“slow” n = 1 “error field correction” (75ms smoothing of control coil current) suffers RWM at ~ 5kHz near q = 2

RWM

n = 3 correction

n = 3 braking

slow feedback fast feedback

0.0 0.2 0.4 0.6 0.8 1.0 1.2t (s)

0246

1015

5

0

1.0

0

2030

010

-1.0

1015

50

Brun=1(G)

Bpln=1(G)

N

IA (kA)

/2 (kHz)

130639130640

Page 12: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 12

Low , high N plasma not accessed when two feedback control coils are disabled

Low access for ITER study use n = 3 braking

n = 1 feedback doesn’t stabilize plasma with 2 of 6 control coils disabled scenario to

simulate failed coil set in ITER

Feedback phase varied, but no settings worked

RWM onset at identical time, plasma rotation

RWM

0.0 0.2 0.4 0.6 0.8 1.0 1.2t (s)

0246

1015

5

0

1.0

0

2030

010

-1.0

1015

50

Brun=1(G)

Bpln=1(G)

N

IA (kA)

/2 (kHz)

130641130640130642130643

2 control coils outfeedback phase varied

All coils on

n = 3 correction

braking and feedback

Page 13: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 13

0

20

40

60

80

100

0 60 120 180 240 300 360NSTX.10.2007

g s=0.05 Gp=27.05e3g s=0.05 Gp=27.05e3g s,a=0.05,0 Gp=27.05e3g s,a=0.05,0 Gp=27.05e3g s,a=0.05,0 Gp=27.05e3

gro

wth

ra

te

[1

/s]

phase in [F] [deg]f (deg)

modelocked

moderotatin

g

passive

45 225 290 315

unstable unstablestable

Experiment

(1

/s)

Experimental RWM control performance consistent with theory

10-1

100

101

102

103

104

4 4.5 5 5.5 6 6.5 7 7.5

NSTX.10.2007

g passiveg ideal (Cu,Cu)g ph=230 Gp=27.05e3gr-onk

gro

wth

ra

te

[1

/s]

n

(1

/s)

N

DCONno-wall

limitwith-walllimit

active control

passive

activefeedback(reached)

Experimental N reached

adv. controller

(control off) (control on)

VALEN code with realistic sensor geometry, plasmas with reduced V

Feedback phase scan shows superior settings

Page 14: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 14

10-2

10-1

100

101

102

103

2.5 3 3.5 4 4.5

ITER.VAC02.2008

g passiveg Gp=0.8e8g mid coils Gp=0.8e8g t&b coils Gp=0.8e8

Gro

wth

ra

te

[s-1

]

n

Significant N increase expected by internal coil proposed for ITER

50% increase in N over RWM passive stability

(40° sector)ITER VAC02 design

passive

midplanecoils upper

+lowercoils

allcoils

ITER VAC02 stabilization performance

VALEN-3D

N

3 toroidal arrays, 9 coils each

Gro

wth

rat

e (s

-1)

Page 15: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 15

Design work for upgraded non-axisymmetric control capabilities has begun

Capabilities Non-axisymmetric

control coil (NCC) – at least four applications• RWM stabilization

(n > 1, higher N)

• DEFC with greater field correction capability

• ELM control (n = 6)

• n > 1 propagation, increased Vcontrol)

• Similar to proposed ITER coil design

• In incremental budget Addition of 2nd SPA

power supply unit for simultaneous n > 1 fields

Non-magnetic RWM sensors; advanced RWM active feedback control algorithms

Alteration of stabilizing plate connections Primary

PP option

Secondary PP option

Existingcoils

Proposed Internal Non-axisymmetric Control Coil

(NCC)(initial designs - 12 coils toroidally)

RWM with n > 1 RWMobserved

0.22 0.24 0.26 0.28t(s)

-20-10

010200

100200300

010

20300

102030400

204060

02

46

0.18 0.20 0.22 0.24 0.26 0.28t(s)

-20-10

010200

100200300

0

10

200

10

20300

102030

02

46

114147

FIG. 1

114452

N

FP

|Bp|(n=1)

(G)(G)

(G)

|Bp|(n=2)

|Bp|(n=3)

Bp(n=1)(deg)

|Br|(n=1)(ext.)

Bz(G

) (f<40 kHz, odd-n)

n=2,3

n=1 no-wall unstable

0.240.22 0.26 0.28t(s)

(Sabbagh, et al., Nucl. Fusion 46, 635 (2006). )

Page 16: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 16

VALEN computed RWM stability for proposed RWM control coils upgrade - behind passive plates (PP)

10-1

100

101

102

103

104

4.5 5 5.5 6 6.5 7 7.5NSTX.07.2007

g P=Cu,S=Cu)g ideal Cu Cug Gp=e7g Gp=5e6 BS (Cu,Cu)g Gp=5e6 BP (Cu,Cu)

10-1

100

101

102

103

104

4.5 5 5.5 6 6.5 7 7.5NSTX.07.2007

g (P=SS,S=Cu)g (P=Cu,S=SS)g P=Cu,S=Cu)g Gp=e7g Gp=5e6 BSppg Gp=5e6 BPppg ideal Cu Cu

N

gro

wth

ra

te

[1/s

]

passive

Idea

l w

all

lim

it

Copper Plates

Coils behind secondary PP

Coils behind primary PP

Ext

ern

al c

oi l

s

N

gro

wth

ra

te

[1/s

]

passive

Idea

l w

all

lim

it

Stainless Steel Plates

Coils behind SS secondary PP

Coils behind SS primary PP

coils behind copper passive plates perform worse than existing external RWM coil set

change copper passive plates to SS RWM performs better than existing external coil set

Ext

ern

al c

oi l

s

(note: idealized sensors used)

Page 17: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 17

Proposed control coils on plasma side of copper passive plates computed to stabilize to 99% of N

wall

coils on plasma side Cu secondary PP stabilize to N = 7.04

coils on plasma side Cu primary PP stabilize to N = 7.05

Ideal wall limit N = 7.06

10-1

100

101

102

103

104

4.5 5 5.5 6 6.5 7 7.5NSTX.08.2008

g passive CU,CUg ideal CU,CUg Gp=e7g Gp=e8 FS, CU,CUg Gp=e8 FP, CU,CU

10-1

100

101

102

103

104

6.9 6.95 7 7.05 7.1 7.15 7.2NSTX.08.2008

g passive CU,CUg ideal CU,CUg Gp=e7g Gp=e8 FS, CU,CUg Gp=e8 FP, CU,CU

passive

exte

rnal

co

ils

Idea

l wal

l lim

it

Idea

l wa l

l lim

it

external coils

N N

grow

th r

ate

[

1/s]

grow

th r

ate

[

1/s]

(note: idealized sensors used)

VALEN

Page 18: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 18

ˆˆ2

3ˆˆ2

5**

deiil

iW

EeffbD

ETN

K

Simple critical threshold stability models or loss of torque balance do not describe experimental marginal stability

Kinetic modification to ideal MHD growth rate

Trapped and circulating ions, trapped electrons

Alfven dissipation at rational surfaces

Stability depends on

Integrated profile: resonances in WK (e.g. ion precession drift)

Particle collisionality

Trapped ion component of WK (plasma integral)

Energy integral

Kb

Kw WW

WW

collisionality

profile (enters through ExB frequency)

Hu and Betti, Phys. Rev. Lett 93 (2004) 105002.

Sontag, et al., Nucl. Fusion 47 (2007) 1005.

precession drift bounce

Modification of Ideal Stability by Kinetic theory (MISK code) investigated to explain experimental RWM stabilization

Page 19: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 19

0.00 0.01 0.02 0.03 0.04Re(WK)

0.00

0.01

0.02

0.03

Im(

WK)

φ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpw

0.0

-0.2

-0.4

-0.60.20.40.60.81.01.2

80

60

40

20

0

[kH

z]

1.00.80.60.40.20.0

/a

/exp

= 0.2

exp

/exp

= 2.0

Kinetic modifications show decrease in RWM stability at relatively high V – consistent with experiment

Marginal stable experimental plasma reconstruction, rotation profile

exp

Variation of away from marginal profile increases stability

Unstable region at low

Theoretical variation of

Marginally stable

experimentalprofile

121083

RWM stability vs. V (contours of w)

/a

/exp

2.0

1.0

0.2

/

2 (

kHz)

Im(

WK)

Re(WK)

/exp

w

experiment

2.0

1.0

0.2

unstable

/exp

Page 20: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 20

0.00 0.01 0.02 0.03 0.04Re(WK)

0.00

0.01

0.02

0.03

Im(

WK)

w

-0.2

-0.4

-0.6

φ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexpφ/φexp

0.20.40.60.81.0

Kinetic model shows overall increase in stability as collisionality decreases

Vary by varying T, n at constant

Simpler stability dependence on at increased

Increased collisionality (x6)

Im(

WK)

Re(WK)

unstable

Reduced collisionality (x1/6)

w/

exp

0.00 0.01 0.02 0.03 0.04Re(WK)

0.00

0.01

0.02

0.03

Im(

WK)

φ/φexp

0.2

φ/φexp

0.4

φ/φexp

0.6

φ/φexp

0.8

φ/φexp

1.0

φ/φexp

1.2

φ/φexp

1.4

φ/φexp

1.6

φ/φexp

1.8

φ/φ

w

Re(WK)

unstable

0.2

/exp

1.0

2.0

0.2

1.0 2.0

Increased stability at /exp ~ 1

Unstable band in at increased

Page 21: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 21

Hot ions have a strongly stabilizing effect on DIII-D

withouthot ions

with hot ions

(J.W. Berkery, Mode Control Mtg. 2008)

MISK show band of instability at moderate rotation without hot ions, but complete stability with hot ions: (w) ~ 1.0 DIII-D shot 125701 @ 2500ms and rotation from 1875-2600ms

This may explain why DIII-D is inherently more stable to the RWM than NSTX energetic particle modes might “trigger” RWM by fast particle loss (JT-60U IAEA 08)

Page 22: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 22

NSTX RWM stability with hot ions under evaluation

121083 Pfast

Pre

ssur

e (k

Pa)

Ptot High level ofPfast in NSTX

Pfast

Direct effect on calculated growth rate using test profiles (based on TRANSP analysis) for hot ion pressure: (w) ~ 0.2 Stability using TRANSP runs of RWM marginally stable plasmas now underway

TRANSP hot ion population smaller at edge in NSTX vs. DIII-D – may explain why RWM apparently less stable in NSTX

unstableVariation due to Pfast

Page 23: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 23

Lithium wall conditioning, n=1 RWM control, n=3 error correction also shown to control (eliminate) tearing modes

Physics of tearing mode elimination still under investigation Full suppression

of modes not seen on all shots

If lithium wall conditioning a key element, liquid lithium divertor might be used for NTM control

• MHD spectrogram with lithium, n=1 feedback and n=3 correction

• MHD spectrogram w/o n=1 feedback and n=3 correction

n=1 mode drops

CHERS vt at R = 139cm

Red with control

Black w/o control

Red with control

Black w/o control

No MHD, and rotation maintained

Page 24: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 24

Required drive for NTM onset better correlated with rotation shear than rotation magnitude

NTM Drive at Onset Only Poorly Correlated with q=2 (Carbon) Rotation

NTM Drive at Onset Better Correlated with Local Flow Shear

For fixed V, order of increasing onset drive: EPM triggers, ELM triggers, and “Triggerless”

All trigger types have similar dependence on flow shear Dependence likely to related to intrinsic tearing stability, not triggering

S.P. Gerhardt, submitted to Nucl. Fusion

Page 25: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 25

2nd NBI and BT = 1T with center stack upgrade to be used for study and control MHD modes (and much more…)

Fully non-inductive scenarios require 2nd NBI (7-10MW of NBI heating) for H98 1.2

CR will increase from 0.35 1s if Te doubles at lower ne, higher BT

Need 3-4 CR times for J(r) relaxation 5s pulses need 2nd NBI

RTAN [cm]__________________

50, 60, 70, 13060, 70,120,13070,110,120,130

ne / nGreenwald

0.950.72

Above: N=5, T=10%, IP=0.95MA

N=6.1, T=16%, qmin > 1.3, IP=1MA at BT=0.75T possible

Present NBIRTAN=50,60,70cm

New 2nd NBIRTAN=110,120,130cm

qmin > key rationals 1.5, 2 to be used for NTM control

Page 26: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 26

Establish predictive physics understanding of NTMS

2009-2011: Compete Characterization of NTM Onset, Small Island Physics, Restabilization Characterize the role of V and the ideal kink limit on NTM onset thresholds Characterize triggering events, including sawtooth triggered 3/2 modes and

“triggerless” NTMs with qmin > 1 Finish characterization of the marginal island width for 2/1 and 3/2 modes, including

comparisons to conventional aspect ratio devices Understand details of how Li conditioning and DEFC assist in stabilizing 2/1 modes

2009-2011: Establish a program of relevant NTM modeling Implement PEST-III calculations of ’ for realistic NSTX equilibria, including the

effects of nearby rational surfaces Utilize initial value codes like NIMROD for more sophisticated treatment of transport

near the island or rotation shear effects on mode coupling and island eigenfunction. 2012-2013: Develop scenarios that mitigate/eliminate deleterious NTM activity

Quantify the benefits of qmin > 2 operation, and the role of higher order (3/1, 5/2) modes in this case

Utilize increased toroidal field (new center stack) to scale i in single device Utilize 2nd beamline for current profile control, possibly allowing ’ stabilization of

NTMs even with qmin < 2Collaborations are an essential element of research plan (GA, AUG, JET, U. of Tulsa,…)

Page 27: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 27

Non-axisymmetric field-induced neoclassical toroidal viscosity (NTV) important for low collisionality ST-CTF, low rotation ITER plasmas

Significant interest in plasma viscosity by non-axisymmetric fields Physics understanding needed to

minimize rotation damping from ELM mitigation fields, modes (ITER, etc.)

NTV investigations on DIII-D, JET, C-MOD, MAST, etc.

Expand studies on NSTX Examine larger field spectrum Improve inclusion of plasma response

using IPEC

Consider developments in NTV theory

• Reduction, or saturation due to Er at reduced ion collisionality, multiple trapping states, bounce/precession resonances, superbanana regime, etc.

• Some effects suggest continued increase in viscosity at reduced i

Examine NTV from magnetic islands

Measured d(Ip)/dt profile and theoreticalNTV torque (n = 3 field) in NSTX)

W. Zhu, et al., Phys. Rev. Lett. 96, 225002 (2006).

I

p

RBRB NC

i

ii

ttte )(

11 23

2/31

2)/1(

Dominant NTV Force for NSTX collisionality…

…will it saturate, decrease at lower i ?

22

1

Ei

i

i

Can examine at order of

magnitude lower i with center stack upgrade

e.g. A.M. Garofalo, APS 2008 invited (DIII-D)

J.K. Park, APS 2008 invited talk

No V shielding in core;used Shaing erratum

theory

measured

TN

TV (

N m

)

0.9 1.1 1.3 1.5R (m)

0

1

2

3

4

axis

Page 28: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 28

Stronger non-resonant braking at increased Ti

Observed non-resonant braking using n = 2 field

Examine Ti dependence of neoclassical toroidal viscosity (NTV)

Li wall conditioning produces higher Ti in region of high rotation damping

Expect stronger NTV torque at higher Ti (-d/dt ~ Ti

5/2 ) At braking onset,

Ti ratio5/2 = (0.45/0.34)5/2 ~ 2

Consistent with measured d/dt in region of strongest damping

Li wallno Li

n = 2 braking130720130722

no lithium Li wall

R = 1.37m

I coi

l (kA

)

(kH

z)

0.0

-0.4

-0.8

4

2

0.40.3

0.10.2

t (s)0.4 0.5 0.6 0.7

Ti (

keV

)

-15

-10

-5

0

0.9 1.1 1.3 1.50

1

2

3

0.9 1.1 1.3 1.50.9 1.1 1.3 1.5-15

-10

-5

0

0

1

2

3

0.9 1.1 1.3 1.5R(m)R(m)

(Ti ratio)5/2

(1/

)(d/

dt)

Li wall

Damping profiles

No Li

2x

Page 29: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 29

n = 2 non-resonant braking evolution distinct from resonant Non-resonant:

broad, self-similar reduction of profile

Reaches steady-state (t = 0.626s)

128882

0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6

10

20

30

0

R(m)

(

kHz)

128882

t = 0.516s

t = 0.466s (t = 10 ms)

Resonant: Clear momentum transfer across

rational surface evolution toward rigid rotor core Local surface locking at low

1.0 1.1 1.2 1.3 1.4 1.5 1.6R(m)

Steady-state profile(from non-resonant braking)

t = 0.626s(t = 10 ms)

t = 0.816s

outwardmomentum

transfer

N ~ 3.5

Page 30: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 30

High ST research plan focuses on bridging the knowledge gaps to next-step STs; contributes to ITER

Macroscopic stability research direction Transition from establishing high beta operation to reliably and predictably

sustaining and controlling it – required for next step device

Research provides critical understanding for tokamaks Stability physics understanding applicable to tokamaks including ITER,

leveraged by unique low-A, and high operational regime Specific ITER support tasks

NSTX provides access to well diagnosed high beta ST plasmas 2009-2011: allows significant advances in scientific understanding of ST

physics toward next-steps, supports ITER, and advances fundamental science

2012-2013+: allows demonstration/understanding of reliable stabilization/profile control at lower collisionality – performance basis for next-step STs

Page 31: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 31

DOE ReNeW process to define “ITER-era” (20 yr) research program

ReNeW: Research Needs Workshop To inform the Office of Fusion Energy Sciences (OFES) in preparing

a strategic plan for research in each major area of the Fusion Energy Sciences Program

To allow U.S. fusion community to explain research goals, methods to achieve them

• Including communication to new administration MAIN WEB PAGE: http://burningplasma.org/renew.html

Document Vol 1: Define scientific research needed to fill “gaps” in present

understanding

• “gaps” defined in / modified from Greenwald report, FESAC TAP reports

• Divided into 5 “themes” comprising magnetic fusion research Vol 2: Define (~ 15) “research thrusts” that will carry out this research Basis for detailed program plan to be constructed by OFES

Page 32: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 32

ReNeW organized into 5 fusion research themes

Structure/gapsFESAC Toroidal Alternates Panel

Report

Structure/gapsPriorities, Gaps, and Opportunities Panel Report

(“Greenwald Report”)

Structure/gaps Energy Policy Act task group report

Reports available at: http://burningplasma.org/renew.html

Spherical Torus sub-theme

Page 33: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 33

ReNeW ST Panel is on Schedule to Complete Tasks Tasks through March 16-19 Workshop

Solicit community input: (First call for input DONE – continue to engage community)

Review issues as described in TAP panel report: (DONE: embodied in community distributed draft of ST section V1.7)

********** WE ARE HERE ********** Identify scientific research needed to address the issues

• Review and expand on research outlined in the TAP panel report

• Draft write-up of research requirements, make available to community

• Fold in community input on research requirements

Develop draft “research thrusts” for discussion at March workshop

FESAC TAP Report Mission statement: Establish the ST knowledge base to be ready to construct a low aspect ratio component testing facility that provides high heat flux, neutron flux, and duty factor needed to inform the design of a demonstration fusion power plant.

Page 34: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 34

Interpretation of the FESAC TAP document by some people in the community

Pros ST-CTF focus

Cons Alienates a significant part of the community (research plan has been characterized by some (to

quote) as a “dead end”), so loses potential constituency Many have complained that several physics issues have been “swept under the rug”, even at the

level of an ST-CTF device Interpreted as above, it doesn’t maximize cross-cutting with other magnetic fusion research

Present STs DEMO(Research informing DEMO) ST-CTF

Key point: Let’s engage the community and make appropriate, small changes to strengthen these weak points.

Page 35: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 35

(STRAWMAN) U.S. ST Research Vision consistent with Present ST Mission Statement

ReNeW ST Panel v1.2

Present STs

DEMO

Scientific Research during ITER era informing DEMO

• Blanket development (magnetic, inertial fusion)• Fusion materials development

Pot

entia

lap

plic

atio

n

Fusion/FissionHybrid driver

• Nuclear waste processing•…

ST-CTF

Pot

entia

lap

plic

atio

n

UpgradedST Facilities

ST PerformanceExtension

Facility

?

Tier 1- Start-up and Ramp-up- Plasma-material interface- Electron energy transport- Magnets

Tier 2- Stability & SS Control; 3D fields- Disruptions- Heating & current drive- Ion-scale transport- Fast particle instabilities

Tier 3- NTMs- Continuous NBI systems

Research

Facilities and Applications

Page 36: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 36

Several Conduits for Participation in ReNeW Process ReNeW Forum (web bulletin board)

Contribute to open discussions; start your own discussions Registration instructions: http://burningplasma.org/forum/

• Request authorization to ReNeW Forum: e.g. email: [email protected]

ST topic: https://burningplasma.org/forum/index.php?showforum=114

ST Group: Direct input to/discussion of evolving draft ST section of document Posted: https://burningplasma.org/forum/index.php?showtopic=653

Submit short white papers describing your ideas on how to resolve key issues, support/define research thrusts Download directions at: http://burningplasma.org/renew.html

Participate in March 2009 Workshops Links to websites with info/registration at: http://burningplasma.org/renew.html

Directly contact panel members ST Group: 10 Panel members (see next page); more than 30 advisors

Page 37: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 37

ReNeW Spherical Torus Panel Members

Contact any panel member for authorization to access the ReNeW Forum (website bulletin board)

Full advisor list posted at: https://burningplasma.org/forum/index.php?showtopic=636

Member Institution telephone emailSteve Sabbagh Columbia U. (609) 243-2645 [email protected] Sontag ORNL (865) 574-1179 [email protected] Soukhanovskii LLNL (609) 243-2064 [email protected]. Kotschenreuther U. Texas (512) 471-4367 [email protected] Stutman Johns Hopkins U.(410) 516-7929 [email protected] Majeski PPPL (609) 243-3112 [email protected] Menard PPPL (609) 243-2037 [email protected] Gorelenkov PPPL (609) 243-2552 [email protected] Hegna U. Wisconsin (608) 263-0810 [email protected] Peng ORNL (865) 368-0917 [email protected]

Page 38: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 38

Backup Slides

Page 39: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 39

NSTX Disruption Studies Contribute to ITER, Aim to Predict Disruption Characteristics & Onset For Future Large STs

Halo Current Magnitudes and Scaling

Expand these Results For a Complete Characterization of Disruption Dynamics, Including Prediction Methods

IP2 BT (MA2/T)

Max

Hal

o C

urre

nt M

agni

tude

(kA

)

Lower Center StackInner to Outer Vessel

Vessel Bottom Near CHI Gap

Outboard Divertor

Are

a N

orm

aliz

ed Q

uenc

h T

ime

(mse

c/m

2)

Pre-Disruption Current Density (MA/m2)

• Fastest NSTX disruption quench times of 0.4 ms/m2, compared to ITER recommended minimum of 1.7 msec/m2.

• Reduced inductance at high-, low-A explains difference

L / R

S 0

2ln 8

7

4

• New instrumentation in 2008 yields significant upward revision of halo current fractions

• reveals scaling with IP and BT.

• Mitigating effect: Largest currents for deliberate VDEs• Toroidal peaking reduced at large halo current fraction.

2006 Instrumentation 2008 Instrumentation

Area-normalized (left), Area and Lext-normalized (right) Ip quench time vs. toroidal Jp (ITER DB)

NSTX

Page 40: NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 1 Macroscopic Stability Research on NSTX and a ReNeWed Future S.A. Sabbagh 1, R.E. Bell 2,

NSTX CU APAM Plasma Physics Colloquium 2/6/09 – S.A. Sabbagh 40

Understand the Causes and Consequencs of Disruptions for Next-step STs and ITER

2009-2012: Halo current characterization Install arrays of instrumented tiles in outboard divertor, measure currents into LLD trays

(2009-10)

Utilize CS upgrade to instrument inboard divertor tiles (2011)

Understand the halo current paths, toroidal peaking physics, and driving mechanisms, in order to make predicitons for future ST plasmas

2009-2011: Thermal quench characterization Determine the fraction of stored energy lost in the thermal quench, compared to that in

the pre-disruption phase, over a variety or plasmas and disruptions

Utilize fast IR thermography to understand time-scale and spatial distribution of the thermal quench heat flux

Predict the impulsive heat loading constraints on future ST PFCs

2010-2013: Learn to predict and prevent disruptions Develop real-time diagnostics useful for predicting impending disruptions for relevant

ST equilibria and instabilities

Test predictive algorithms, to determine the simplest, most robust prediction methods

• Use in conjunction with stability models and mode control systems developed