transport, stability and plasma control studies in the tj-ii stellarator · institute of nuclear...

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1/ 24 Member of Laboratorio Nacional de Fusión, CIEMAT, Madrid, Spain. Instituto de Plasmas e Fusao Nuclear, IST, Lisbon, Portugal. Max-Planck-Institut für Plasmaphysik, Greifswald, Germany. Institute of Plasma Physics, NSC KIPT, Kharkov, Ukraine. Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto Tecnológico de Costa Rica, Costa Rica. University of California-San Diego, USA A.F. Ioffe Physical Technical Institute, St Petersburg, Russia General Physics Institute, Russian Academy of Sciences, Russia National Institute for Fusion Science, Toki, Japan Instituto Tecnológico de Costa Rica, Cartago, Costa Rica. Transport, stability and plasma control studies in the TJ-II stellarator presented by J. Sánchez Laboratorio Nacional de Fusión, CIEMAT and collaborators TJ-II Heliac B(0) 1.2 T, R(0) = 1.5 m, <a> 0.22 m 0.9 (0)/2 2.2 ECRH and NBI heating

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Page 1: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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TJ-II heliac

B (0) ≤ 1.2 T, R (0) = 1.5 m, <a> ≤ 0.22 m

0.9 ≤ /2 ≤ 2.2

ECR and NBI heating

TJ-II heliac

B (0) ≤ 1.2 T, R (0) = 1.5 m, <a> ≤ 0.22 m

0.9 ≤ /2 ≤ 2.2

ECR and NBI heating

Laboratorio Nacional de Fusión, CIEMAT, Madrid, Spain.

Instituto de Plasmas e Fusao Nuclear, IST, Lisbon, Portugal.

Max-Planck-Institut für Plasmaphysik, Greifswald, Germany.

Institute of Plasma Physics, NSC KIPT, Kharkov, Ukraine.

Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia.

Universidad Carlos III, Madrid, Spain.

Instituto Tecnológico de Costa Rica, Costa Rica.

University of California-San Diego, USA

A.F. Ioffe Physical Technical Institute, St Petersburg, Russia

General Physics Institute, Russian Academy of Sciences, Russia

National Institute for Fusion Science, Toki, Japan

Instituto Tecnológico de Costa Rica, Cartago, Costa Rica.

Transport, stability and plasma

control studies in the TJ-II

stellarator

presented by J. Sánchez

Laboratorio Nacional de Fusión, CIEMAT and collaborators

TJ-II Heliac

B(0) 1.2 T, R(0) = 1.5 m, <a> 0.22 m

0.9 (0)/2 2.2

ECRH and NBI heating

Page 2: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Stellarator Development of the concept for a

steady state, disruption free, high

density reactor for the power plant

Current free controlled configuration:

“laboratory” for basic plasma physics

studies relevant to tokamaks and ITER

Page 3: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Member of

TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 4: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

4/ 24

Member of

TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 5: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Asymmetries and impurity transport

Evidence of long-range correlations amplification

during in the proximity of the Electron-Ion root

transition

[M. A. Pedrosa et al., PRL 2008] due to a reduction in neoclassical viscosity

[J.L. Velasco et al., PRL-2012]

Impurity accumulation a potential problem in stellarators Need to find “knobs” which can affect high Z transport: JET (2000) : asymmetries in edge radiation

J.M. Regaña (PPCF 2013, Theory): High Z imp. transport in stellarators very sensitive to 3D

asymmetries of electrostatic potential

Experimental difficulty: how to “label”

exactly a whole flux surface? D

B

Long range correlations along flux

surfaces

Page 6: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Electrostatic potential asymmetries observed

Assuming Te variations on flux surfaces are small, in-surface floating potential differences reflect those of

plasma potential, affected by ECRH A. Alonso et al., EPS-2014

B

D

DF(r=0.95)

Isat

TECE

<ne>

ECRH turn-off

ECH: ON ECH: ON

ECH: OFF ECH: OFF

1 2 3 4 1 2

3 4

Page 7: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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F=F0 + F1

Low density Er root transition:

F1 computation.

NC electron-to-ion root

transition occurs with

relatively minor changes in n

and T profiles good to test

the dependence on Er.

EUTERPE simulations cast

large F1 and clear

dependence with Er.

asymmetric part F1 at r = 0.9

Volt

Asymmetries, 3D neoclassical calculations: Potential variation on magnetic flux surfaces in TJ-II

stellarator using particle in cell (PIC) Monte Carlo code

EUTERPE

See also necoclassical results on

Er and transport from code

FORTEC 3D (poster OV4-5)

Page 8: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Charge dependence of Impurity Confinement

(ECRH Plasmas)

The dependence of impurity confinement time has been also studied as a function of charge and

mass of the impurity ions. A distinct impurity confinement of injected ions is distinguished clearly in

the plasma core as revealed from soft X-ray analysis and tomographic reconstructions.

[B. Zurro, IAEA FEC 2014, EX/P4-43; B. Zurro, PPCF 2014 in press]

Page 9: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

9/ 24

Member of

TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 10: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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L-H transition near the threshold:

LCOs and role of turbulence

IAEA 2010 Estrada et al., EPL 2010, PRL 2011 Gradual transitions happen for P Ptreshold Very useful for detailed analysis of L-H transition (LCOs)

Predator-prey oscillations observed between electric field and

turbulence, Er following ñ

ñ

Similar predator prey behaviour observed in DIII D and AUG

Schmitz et al., PRL (2012), Conway et al., PRL (2011)

In 2013, HL-2A observes in addition the opposite trend

(Er preceding ñ) , which leads to a different intrepretation

Cheng et al., PRL (2013)

Counter Clock-Wise

p trigger model

Clock-Wise

Turbulence trigger model

Doppler

Reflectometry

Page 11: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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L-H transition near the threshold:

Experiments in TJ-II 2013-14: measure in three radial points simultaneously

Multichannel Doppler reflectometry

3-point measurement allow to measure:

Propagation of the ñ and ExB flow modulation

Measurement of the Er shear: dEr/dr (parameter actually relevant in the predator-prey model

)

Page 12: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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L-H transition near the threshold:

Using Er as x-axis: different

rotation direction

Using Er shear (dEr/dr) as x-axis:

single rotation direction:

Turbulence leads

dEr/dr

See Estrada et al., IAEA 2014, EX/P4-47

Page 13: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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The isotope effect and multi-scale physics: a

possible mechanism

Larmor radius (rs) dependence of

turbulent structures

i.e. size of turbulent structures

increases with rs

rs↑ should have

deleterious effects on

transport:

The mystery of the

isotope effect

Change in the k-spectra of

turbulence

Zonal flow development by inverse energy

cascades via ExB symmetry breaking

Beneficial effects on

transport

Stronger in magnetic

configurations with reduced

damping of zonal flows:

tokamaks vs stellarators

Page 14: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Long Range Correlation and H/D isotope effect: Experiments

Experimental findings show a systematic increasing in the amplitude of zonal flows during

the transition from H to D dominated plasmas in TEXTOR tokamak but NOT in the TJ-II

stellarator.

LRC clearly increases with D concentration

Cx

y(t

=0

)

TEXTOR (Y. Xu, C. Hidalgo et al., PRL-2013) TJ-II (B. Liu et al., EPS-2014, submitted PRL)

LRC slightly decreases with D concentration

Cx

y(t

=0

)

ECRH low density plasmas

FURTHER WORK: investigate the role of multiscale physics in the isotope effect

Page 15: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

15/ 24

Member of

TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 16: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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The TJ-II programme on liquid metals addresses fundamental issues

like the self-screening effect of liquid lithium driven by evaporation to protect plasma-

facing components against huge heat loads

Liquid Lithium Limiter: power loads and particle

sources

F L Tabarés et al. PSI 2014

Power loads to the

limiters evaluated

through the enhanced

emission of Li atoms by

evaporation.

Significantly lower

power loads deduced

compared to those

derived from the edge

parameters (He beam

diagnostic.)

Page 17: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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LLL biasing is more efficient in triggering

plasma confinement improvement

compared to carbon limiter

No deleterious effect due to the high

power load induced on it was seen (deep

penetration into edge plasma)

Edge voltage affected 180º toroidally

away

Liquid Lithium Limiter biasing experiments

F L Tabarés et al. PSI 2014

1100 1150 1200 1250

1100 1150 1200 1250 Time (s)

Ha(v)

<ne>(1012cm-3)

12

10

8

6

4

2

0

3

2

1

0

-1

-2

-3

Vbias Li (102V)

Vfloat probe 180º away (102V)

Page 18: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

18/ 24

Member of

TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 19: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Magnetic well scan & Mercier stability

LCFS is linearly

coupled to the

edge shear

location

2,36%

1,73

1,14

0,70

0,54

0,37

0,08

0,02

0,0

Magnetic w

ell

depth

%

W= 2.36% W=0.32% W= -0.69%

-0.2 -0.1 0 0.1 0.2 0.3 R-R0 (m)

-0.2 -0.1 0 0.1 0.2 0.3 R-R0 (m)

0.1

0

-0.1

-0.2

-0.3

-0.4

-0.2 -0.1 0 0.1 0.2 0.3 R-R0 (m)

a

Z(m

)

0.1

0

-0.1

-0.2

-0.3

-0.4

b

Z(m

)

0.1

0

-0.1

-0.2

-0.3

-0.4

c

Special feature of

TJ-II: well scan

Page 20: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Magnetic well scan:

fluctuation levels and confinement

Experimental results have shown that TJ-II stellarator stability is better than standard stability analysis

predictions. In particular plasma confinement is not strongly affected by magnetic well although the level of

fluctuations increases in configurations without edge magnetic well.

This result suggests that stability calculations, as those presently used in the optimization criteria

of 3-D devices, might miss some stabilization mechanisms.

[F. Castejón et al., IAEA-2014 EX/P4-45 / A. Martin de Aguilera et al., EPS-2014]

0.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

-1 -0.5 0 0.5 1 1.5 2 2.5

Tau

_E (

ms)

Magnetic Well (%)

ne=2 x 10

19 m

-3

Page 21: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Dynamical coupling between gradients and transport vs

magnetic well: role of non smooth profiles

Observations suggest that fluctuations are self-regulated in such a way that the most probable density

gradient minimizes the size of the radial turbulent transport events Stability calculations based on smooth profiles migth miss some stabilization mechanisms, which

could be explained by self-organization mechanisms between transport and gradients

[B. Van Milligen et al., ICPP 2014, Hidalgo et al, PRL 2012]

FLUX GRADIENT RELATION FOR A LOCAL

DIFFUSIVE PROCESS

Tra

nsp

ort

(n

orm

aliz

ed

)

n - n(most probable) (normalized)

Page 22: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

22/ 24

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TJ-II research programme supporting stellarator and ITER

physics

PARTICLE, ENERGY AND IMPURITY TRANSPORT:

NC effects, flux surface asymmetries in plasma potential, conf. vs charge and mass

FAST PARTICLE PHYSICS:

Role of ECRH on Alfven Eigenmodes

MOMENTUM TRANSPORT:

Dynamics of Limit Cycle Oscillations and isotope effect

PLASMA STABILITY STUDIES:

Magnetic well scan and plasma stability

POWER EXHAUST PHYSICS:

Plasma facing components based on liquid metals (Li)

Page 23: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Fast particle control: Flexible ECRH heating and unique

plasma diagnostic capabilities in TJ-II

Heavy Ion Beam Probe (potential, density and

magnetic field fluctuations and profiles):

HIBP in full operation

(second HIBP in commissioning)

Two 300 kW gyrotrons 2nd harmonic X mode

Steerable system

Beam size on-axis w0 = 1 cm (strongly focused)

ECH1

ECH2

nII=0

Page 24: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Alfven Eigenmodes: role of NBI / ECRH

K. Nagaoka et al., Nucl. Fusion 53 (2013) 072004/A

A. Cappa et al., IAEA-2014 EX/P4-46

The mitigation effect of ECRH on NBI beam-driven Alfvén eigenmodes (AE’s) reported in

TJ-II suggests an attractive avenue for a possible control of the AE’s.

1192 1194 1196 1198 1200 1202 1204 1206

t (ms)

ECRH

NBI

ne 0,6

0,4

0,2

0

380

340

300

260

380

340

300

260

1100 1120 1140 1160 1180 1200 1220

#33239 Mirnov coil measurements 400

300

200

f (k

Hz)

1

0.5

0

dB

(a.u

.)

ECH1 250 kW, 0.42 ECH2 250 kW, 0.34

1100 1120 1140 1160 1180 1200 1220

Time (ms)

f (k

Hz)

f (k

Hz) dBpol

df

ne (10

19m

-3)

Page 25: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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CONCLUSIONS

PARTICLE, ENERGY, IMPURITY TRANSPORT:

Direct experimental evidence of potential flux surface asymmetries.

Impurity confinement depends on mass/charge.

FAST PARTICLE PHYSICS:

Upon moderate off-axis ECH power application, the continuous character of the AEs changes

significantly and starts displaying frequency chirping modifying the mode amplitude. This result shows

that ECH can be a tool for AE control.

MOMENTUM TRANSPORT:

The temporal ordering of the limit cycle oscillations at the L-I-H transition linked to the radial

propagation direction show leading role of turbulence.

Evidence of the importance of multi-scale physics on isotope effect

PLASMA STABILITY STUDIES:

Stability calculations based on smooth profiles migth miss some stabilization mechanisms,

which could be explained by self-organization mechanisms between transport and gradients

POWER EXHAUST PHYSICS: Self-screening effect of liquid lithium driven by evaporation to protect plasma-facing components against huge heat loads. LLL biasing is more efficient in plasma confinement improvement compared to carbon limiter.

Page 26: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Back-up

Page 27: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Measurements and modelling of impurity flows

Flow measurements (C6+) showed an

incompressible parallel flow pattern in ECRH

and low-density NBI conditions (Fig. top). At

higher densities systematic flow deviations are

observed (Figs bottom).

Modelling resulted in density variations of 20-30 %

for these higher density NBI plasmas and return

parallel flows of the correct size (~ 5 km/s).

However, flow correction was predicted to be of

opposite sign to that observed in experiments.

J. Arévalo , J., et al., Nucl. Fusion 53 (2013) 023003

/ Nuclear Fusion 54 (2014) 013008.

Page 28: Transport, stability and plasma control studies in the TJ-II stellarator · Institute of Nuclear Fusion, RNC Kurchatov Institute, Russia. Universidad Carlos III, Madrid, Spain. Instituto

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Confinement time: Magnetic well and volume

Scaling laws predict a

linear dependence of

confinement time with

volume.

tE a a2 a Volume

To distinguish the effects

of magnetic well and

volume, we estimate tE /

Vol. The same behaviour

as before. 0.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00

16.00

-1 -0.5 0 0.5 1 1.5 2 2.5

Tau

_E/V

ol (

ms/

m-3

)

Well (%)