Overview of results from MAST Presented by: Glenn Counsell, for the MAST team

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Overview of results from MAST Presented by: Glenn Counsell, for the MAST team This work was jointly funded by the UK Engineering & Physical Sciences Research Council and Euratom

Focus on 4 areas The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

δr sep plays a key role in MAST MAST has fully symmetric upper and lower divertors and can operate from LSN to USN

CDND lowers P L-H MAST has fully symmetric upper and lower divertors and can operate from LSN to USN Previously reported that H-mode difficult to obtain on MAST away from Connected DND New studies now show that P L-H decreases by factor 2 in CDND compared to similar shaped Lower SND plasmas Same trend observed in MAST- ASDEX upgrade similarity experiments. Factor 1.25 reduction in P L-H

No significant changes to edge profiles In L-mode (close to P L-H ) change from LSND-LDND- CDND not evident in edge T e, n e, V f and M φ profiles

Only V φ and E r influenced by CDND In L-mode (close to P L-H ) change from LSND-LDND- CDND not evident in edge T e, n e, V f and M φ profiles Only clearly observed on impurity rotation and thus radial electric field Magnitude of change at LFS separatrix similar to that observed in ASDEX Upgrade similarity experiments

L-H transition models tested Common theories for L-H transition investigated Two theories successful in separating L and H-mode data: Best separation achieved by β n /(1+ν n 3/2 ) at ψ 95, which characterises suppression of long λ drift wave turbulence - but not quantitative. Best quantitative separation achieved by critical T e at ψ 98 from finite β drift wave turbulence suppression by self generated zonal flows Neither theory accounts explicitly for impact of CDND W. Kerner et al. P. Gudzar et al. See H. Meyer EX/P3-8

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

Confinement data at high β and ε Many new MAST points meeting stringent International Database criteria added to database

Confinement data at high β and ε Many new MAST points meeting stringent International Database criteria added to database MAST data expand the range of inverse aspect ratio (ε=a/r) by a factor 2.2 and in toroidal β by a factor 2.5 Improve confidence by allowing replacement of data from devices non-conventional cross-sections Largely support existing IPB(y,2) scaling but slightly strengthen ε dependance

ν is a key parameter for ST scalings MAST data alone support favourable ν* dependence in dimensionless parameter scaling See M. Valovic EX/P6-30

ν is a key parameter for ST scalings MAST data alone support favourable ν* dependence in dimensionless parameter scaling Since β N and ρ* in MAST close to possible next-generation ST - understanding ν* dependence especially important ν *,MAST /ν *,CTF ~90 Link between dependencies of β and ε provided by MAST data may be useful εshould be included in recently identified interaction between β and ν * exponents in dimensionless scaling) See M. Valovic EX/P6-30, H.R. Wilson FT/3-1Ra

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

TRANSP analysis now regularly conducted TRANSP analysis now regularly conducted for MAST discharges Pre-processor ensures highest quality and greatest range diagnostic data used in analysis Results validated and cross-checked against LOCUST full-orbit code

TRANSP analysis of ELMy H-mode Results most accurate in region 0.3 < ρ <0.8 (avoiding low gradient regions and larger diagnostic errors) For ρ > 0.4 the ion diffusivity, χ i is found roughly equal to χ i NC, cf factor 4 larger in similar L-mode Linear microstability calcs. using GS2 suggest ITGs unstable on all surfaces: Mixing length estimates χ i ITG~3-5 m 2 s -1, close to TRANSP value v φ can dominate flow shear ω se possible ITG drive stabilisation and expect ITBs! χ e ETG~0.1 m 2 s -1, far below TRANSP value need for non-linear calcs. See A.R. Field EX/P2-11

Non-linear GS2 analysis for e - transport Nonlinear collisionless ETG calculations in flux-tube geometry, assuming adiabatic ions, at Ψ n =0.4 surface in MAST base case flux-tube dimensions: x=690ρ e =8.7cm, y=628ρ e =7.9cm, 0.01< k y ρ e <0.31

Radial electrostatic streamers predicted Nonlinear collisionless ETG calculations in flux-tube geometry, assuming adiabatic ions, at Ψ n =0.4 surface in MAST base case flux-tube dimensions: x=690ρ e =8.7cm, y=628ρ e =7.9cm, 0.01< k y ρ e <0.31 Radial electrostatic streamers observed in calculations up ~100ρ e wide (~1cm)

Converged solution consistent with χ e Nonlinear collisionless ETG calculations in flux-tube geometry, assuming adiabatic ions, at Ψ n =0.4 surface in MAST base case flux-tube dimensions: x=690ρ e =8.7cm, y=628ρ e =7.9cm, 0.01< k y ρ e <0.31 Radial electrostatic streamers observed in calculations up ~100ρ e wide (~1cm) Nonlinear simulation converges well for range of flux tube dimensions and wavenumbers Indicates χ e ~ 10 m 2 /s (cf Gyro-Bohm estimate of χ e = 0.6 m 2 /s) - within a factor 2 of TRANSP value

Highest confinement at largest v φ Normalised confinement across range of L-mode, H- mode and ITB discharges increases with v φ

v φ driven by NBI torque Normalised confinement across range of L-mode, H- mode and ITB discharges increases with v φ v φ driven by torque from the neutral beam. Highest torque in counter-nbi discharges due to asymmetric (co-counter) fast ion losses

Highest confinement at largest v φ Highest confinement discharges are ITB formed with counter-nbi M φ approaches 1 in core Very steep electron temperature gradient at ρ~0.6 Very peaked density profile See R. Akers EX/4-4

Density peaking dominated by Ware pinch Highest confinement discharges are ITB formed with counter-nbi M φ approaches 1 in core Very steep electron temperature gradient at ρ~0.6 Very peaked density profile Dominated by Ware pinch, supplemented by neutral beam current drive term See R. Akers EX/4-4

Flow shear exceeds ITG growth rate TRANSP estimate of ω se dominates ITG growth rate γ m γ m derived from a simple model, validated against GS2 ω se comparable with estimates of the ETG growth rate from GS2 ETG drive stabilisation may be a possibility 2 surprises: flat T e profile inside ITB no clearly diagnosed T i barrier

Tearing parity modes unstable in core Flat T e profile inside ITB may be explained by micro-tearing modes Tearing parity modes demonstrated unstable on ψ N ~0.4 in GS2 runs with EM effects turned on Small islands on high order rational surfaces 25/19, 26/19 and secondary islands between them

Enhanced T i spatial resolution required Upgraded CXRS facilitated by adaptable low A configuration 200+ chord spectrometer spatial resolution ~ ρ i poloidal and toroidal chords separate views of two NBI beams

v φ studied with future higher P NBI, longer pulse High rotation with modest beam power makes MAST ideal for rotation studies (a result of good momentum confinement but low moment of inertia) Beam upgrade to JET-style PINIs ongoing - ~double P NBI available in most recent campaign

v φ studied with future higher P NBI, longer pulse High rotation with modest beam power makes MAST ideal for rotation studies (a result of good momentum confinement but low moment of inertia) Beam upgrade to JET-style PINIs ongoing - ~double P NBI available in most recent campaign Increased beam power together with newly installed Error Field Correction coils should give long pulses with high rotation and large fast ion component

Energetic particle modes explored Future large fast ion component and super-alfvénic beam (v //, NBI ~0.7v NBI ~ v A ) suggest EPMs may be significant TAE and EAE activity both observed

Frequency sweeping modes observed Up-down frequency sweeping modes also observed Supports model for non-linear evolution of TAE s in the explosive regime - predicts formation of Bernstein-Green- Krushal non-linear waves Well modelled by HAGIS MHD code

See S. Sharapov EX/5-2Ra EPM activity reduces with β For β > 5% TAE and EAE activity become dominated by non perturbatuive down-frequency chirping modes The amplitude of these modes falls sharply with increasing β, vanishing for β >15% AE activity likely to be absent in a future ST device where β on axis would approach 100%

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

ELM structure exploration continues Previously presented observations of radial bursts during edge localised modes Visible in edge D α profile.... and edge density profile (using high spatial resolution TS system) TS profiles also show formation of disconnected feature, late in ELM

2D fast camera reveals ELM filaments New 2D visible light images on whole plasma clearly show ELM bursts are, in fact, filaments Toroidal mode number of filaments in the range 8<n <14 Filaments appear to push out beyond separatrix, following field lines with 4 < q <6

Edge velocity shear disappears at ELM Fast edge toroidal velocity measurements assembled from He Doppler diagnostic for similar ELMs Strong edge toroidal velocity shear (1.8x10 6 s -1 ) vanishes around time of ELM (also observed on COMPASS-D) May explain how ELM filament can protrude beyond separatrix without being destroyed

Average filament v r up to ~1km/s Average radial velocity of ELM filament varies with distance from separatrix (measured by time for interaction with mid-plane reciprocating probe) r (cm) See A. Kirk EX/2-3

Filaments are actually accelerating Average radial velocity of ELM filament varies with distance from separatrix (measured by time for interaction with mid-plane reciprocating probe) Modelling of data from toroidally separated RPs on MAST indicates: ELM filaments are, in fact, accelerating away from separatrix at 5-15x10 6 ms -2 r (cm) Rotating with the measured edge v φ Observations consistent with ELM description as non-linear expansion of intermediate-n ballooning mode See A. Kirk EX/2-3, H.R. Wilson TH/P1-5

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

Improved views with new divertor

Disruptions are complex in space and time Well before disruption Few ms before current redistribution Before current quench

H broadening reduces peak power loading Divertor power loading rises by factor 2-10 (depending on disruption type) several ms before current redistribution Result of 30-40% of W th losses Power loading rises by a further factor ~2 during current redistribution due to rapid loss (1-2ms) or remaining W th Power loading is, however, significantly ameliorated by factor ~8 broadening of heat flux width See A. Loarte IT/P3-34

Wide-angle IR views reveal wall loads MAST IR camera can view around 70% of the vessel Provides unique data on first wall interactions and power loading asymmetries For example, early phase of disruptions often show n=1 wall interaction Also shows W th losses ~evenly distributed between targets

Toroidal non-uniformity clearly visible MAST IR camera can view around 70% of the vessel Provides unique data on first wall interactions and power loading asymmetries Later phase of this VDE disruption show all remaining Wth going to lower target Note the substantial toroidal asymmetry in the target power load

The L-H transition and H-mode Pedestal Confinement and Transport Transients - ELMs and Disruptions Start-up without a central solenoid

Future ST s may not have central solenoid ST design allows excellent access to the centre column Even complete replacement for upgrade or repair is relatively straightforward Future ST devices operating with a DT mix, however may not have space for central solenoid due to need for neutron shielding Alternative schemes for plasma start-up are therefore an important issue for the ST

Alternative start-up schemes investigated One such scheme is being developed in association with ENEA Double-null merging (DNM) involves breakdown at a quadrupole null between pairs of poloidal coils in upper and lower divertor Modelling predicts merging of plasma rings as current in coils ramped to zero DNM is compatible with future ST design

340kA target plasma obtained with DNM Plasma ring formation and merging clearly seen on centre column magnetic array So far, over 340kA driven for >50ms, sustained by B v ramp Hot (0.5keV), dense (9x10 19 m -3 ) plasma Good target for NBI or RF current drive and heating

Conclusions Exact double-null geometry and high resolution edge diagnostics allow study of physics close to CDND, such as lowering of P L-H (now seen on other devices). Effect of CDND mostly on E r. Addition of large ε and high β data (with conventional D shape) to international database improves confidence in scalings and allows better exploration ε dependencies. Normalised confinement linked to toroidal rotation, driven by neutral beam torque TRANSP and GS2 now implemented. v φ dominates ω se, stabilising ITG (and possibly ETG) modes. χ i at neo-classical levels. Well converged non-linear micro-stability calculations give χ e of same order as TRANSP. Super-Alfvénic fast ions (from neutral beam) generate variety of Alfvén Eigenmode activity, including frequency sweeping modes. TAE/EAE activity falls with increasing β. ELMs appear as filamentary structures following perturbed field lines. Rotate with edge plasma, push out beyond separatrix (through region of low velocity shear) and accelerate radially outwards Heat flux width broadening (factor ~8) during disruptions reduces peak power loading but significant ω th losses can take place before broadening occurs. Double-null merging scheme developed for plasma start-up without central solenoid. Hot, dense tokamak plasma formed with 340kA driven for >50ms

MAST related presentations at 20th IAEA FEC A Kirk The structure of ELMs and the distribution of transient power loads in MAST EX/2-3 Tuesday RJ Akers Comparison of plasma performance and transport between tangential coand counter-nbi heated MAST discharges EX/4-4 Wednesday SE Sharapov Experimental studies of instabilities and confinement of energetic particles on JET and on MAST EX/5-2Ra Thursday HR Wilson The Spherical Tokamak as a Components Test Facility FT/3-1Ra Friday M Valovic Energy and Particle Confinement in MAST EX/P6-30 Friday H Meyer H-mode transition physics close to double null on MAST and its applications to other tokamaks EX/P3-8 Thursday AR Field Core Heat Transport in the MAST Spherical Tokamak EX/P2-11 Wednesday H.R. Wilson Theory of plasma eruptions TH/P1-5 Wednesday