transport, stability and plasma control studies in the tj-ii stellarator · institute of nuclear...
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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](https://reader033.vdocuments.mx/reader033/viewer/2022041800/5e50e3351fce830ac74ad683/html5/thumbnails/1.jpg)
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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
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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
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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](https://reader033.vdocuments.mx/reader033/viewer/2022041800/5e50e3351fce830ac74ad683/html5/thumbnails/4.jpg)
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)
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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
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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
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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)
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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]
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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](https://reader033.vdocuments.mx/reader033/viewer/2022041800/5e50e3351fce830ac74ad683/html5/thumbnails/10.jpg)
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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
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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
)
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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
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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
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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
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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](https://reader033.vdocuments.mx/reader033/viewer/2022041800/5e50e3351fce830ac74ad683/html5/thumbnails/16.jpg)
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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.)
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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)
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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)
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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
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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
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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)
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22/ 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)
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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
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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)
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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.
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Back-up
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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.
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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 (%)