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# 28th IAEA Fusion Energy Conference (FEC 2020)

10-15 May 2021
Virtual Event
Europe/Vienna timezone
The Conference will be held virtually from 10-15 May 2021

## Energy Confinement in a Spherical Tokamak Globus-M2 with a Toroidal Magnetic Field Approaching 0.8 T

14 May 2021, 08:30
4h
Virtual Event

#### Virtual Event

Regular Poster Magnetic Fusion Experiments

### Speaker

Gleb Kurskiev (Ioffe institute)

### Description

The presentation is devoted to the thermal energy confinement study at the compact spherical tokamak (ST) Globus-M2 that was designed to reach toroidal magnetic field as high as $B_T$ =1 T and plasma current $I_p$ = 0.5 MA having a small plasma minor radius a = 0.22-0.23 m. The first neutral beam heating experiments on Globus-M2 were carried out using one deuterium beam with particle energy 28 keV and heating power 0.8 MW in a plasma with $I_p$=0.25-0.35 MA and $B_T$=0.7-0.8 T.Plasma magnetic configuration was lower null with aspect ratio A = R/a = 1.5-1.6, triangularity δ ~ 0.35 and moderate elongation κ~1.9. The loss power is Globus-M2 is significantly higher than the empirical threshold [1] in spite of almost double increase of $B_T$ (in comparison with Globus-M) providing easy access to H-mode: transition occurs a few milliseconds after NBI (neutral beam injection) starts if the discharge line average density is higher than $1.5-2$ $10^{19}$ $m^{-3}$. Transition is accompanied with strong increase of poloidal rotation in the vicinity of the separatrix and simultaneous fluctuation intensity drop according to reflectometer measurements. Plasma total stored energy measured by diamagnetic loop ($W_{DIA}$) reached 7 kJ that is 3 times higher than it was observed at the Globus-M in discharges at $B_T$=0.4 T and $I_p$= 0.2 MA with the same plasma size and the input heating power. The contribution of the fast particles perpendicular pressure on $W_{DIA}$ was within the 10% range according to Monte Carlo simulation NUBEAM and full orbit modelling using 3D fast ion tracking algorithm. The main origin for energy content rise was an increase in energy confinement time ($τ_E$) by 2.5 times. The obtained $τ_E$ values are higher than those predicted by IPB98(y,2) and are in good agreement with the Globus-M scaling due to the strong $τ_E$ dependence on the toroidal magnetic field. The regression fit of the Globus-M/Globus-M2 data yields the following scaling for energy confinement time:
$τ_E$ ~ $I_p^{0.58±0.11} B_T^{1.23±0.07} P_{abs}^{-0.66±0.12}n_e^{0.63±0.05}$,
with rather good mean absolute percentage error (MAPE = 8.4%). Here $P_{abs}$ is the absorbed heating power (the contribution of the ohmic heating power is approximately the half of the $P_{abs}$) and $n_e$ is the line average density. The dedicated current scan for the fixed $B_T$=0.7 T and $n_e$=4.5∙10^{19} m^{-3} confirms weak $τ_E$ dependence on $I_p$ that emphasize the major role of $B_T$ on heat perpendicular transport in STs. Enhanced plasma parameters allowed to extend the dependence of the normalized energy confinement time ($B_Tτ_E$) on collsionality ($ν^*$ ~ $n_e/T^2$) down to significantly lower $ν^*$ values. This dependence turned out to be rather strong $B_Tτ_E$ ~ $ν*^{-0.8}$ for a fixed values of safety factor q ~ $B_T/I_p$, normalized ion gyroradius $ρ^*$ ~ $T^{0.5}/B_T$ and parameter $β_T$ ~ $W/B_T^2$. Power balance analysis carried out using ASTRA transport code indicates the reduction of both electron and ion heat diffusivity with collisionality decrease while the ion heat diffusivity remains the neoclassical level.
This presentation represents a first careful analysis of the energy confinement properties for NBI H-mode plasma in a high toroidal magnetic field ST. The obtained experimental result demonstrates that ST scaling trend achieved at MAST, NSTX and Globus-M machines in the narrow range of the toroidal magnetic field ($B_T$=0.3-0.55 T on NSTX [2], $B_T$=0.34-0.50 T on MAST [3] and $B_T$=0.25-0.5 T on Globus-M [4]) persists within the range $B_T$<0.75 T. The obtained result is quite promising for plasma parameters extrapolation towards fusion neutron source device that should operate in the low collisionality range. Furthermore, low aspect ratio is also preferable for advanced tokamak operation scenario [5,6] due to strong $τ_E$ dependence on $B_T$ and weak on $I_p$ that should allow to achieve a high bootstrap current fraction (due lowering $I_p$ and consequently beta poloidal increase) without significant energy confinement degradation that is crucial for high aspect ratio tokamaks IPB98(y,2) $τ_E$ ~ $I_p^{0.93}B_T^{0.15}$.
Acknowledgments. The research was financially supported by RSF research project № 17-72-20076.

[1]. Takizuka T. and ITPA H-mode Power Threshold Database Working Group 2004 Plasma Phys. Control. Fusion 46 A227
[2]. Nucl. Fusion 53 (2013) 063005 (8pp)
[3]. Nucl. Fusion 49 (2009) 075016 (8pp)
[4]. Nucl. Fusion 59 (2019) 066032 (7pp)
[5]. Plasma Phys. Control. Fusion 46 (2004) A19–A34,
[6]. Nucl. Fusion 51 (2011) 073031 (21pp)

Country or International Organization Russia Ioffe institute

### Primary authors

Gleb Kurskiev (Ioffe institute) Vasily Gusev (Ioffe Physical-Technical Institute) Dr Nikolay Sakharov (Ioffe Insitute) Nikolai Bakharev (Ioffe Institute) Viktor Bulanin (St.Petersburg State Polytechnical University) Dr Fedor Chernyshev (Ioffe Institute) Andrei Kavin (D.V.Efremov Institute of Electrophysical Apparatus) Dr Nikolay Khromov (Ioffe Institute) Mr Eugeny Kiselev (Ioffe Institute) Mr Sergey Krikunov (Ioffe Institute) Vladimir Minaev (Ioffe Institute) Mr Igor Miroshnikov (Ioffe Innstitute) Alexandr Novokhatsky (Ioffe Physical-Technical Institute of the Russian Academy of Sciences) Mr Nikita Zhiltsov (Ioffe Institute, 194021, St.Petersburg, Russia) Eugene Mukhin (Ioffe Institute) Dr Michael Patrov (Ioffe Institute) Yury Petrov (Ioffe Institute) Mr Konstantin Shulyatiev (Ioffe Institute) Mr Petr Shchegolev (Ioffe Institute) Ms Anna Telnova (Ioffe Institute) Ms Ekaterina Tukhmeneva (Ioffe Institute) Mr Valentin Tokarev (Ioffe Institute) Mr Sergei Tolstyakov (Ioffe Institute, 194021, St.Petersburg, Russia) Alexander Yashin (Peter the Great St.Petersburg Polytechnic University) Mr Eugeny Zhilin (Ioffe Fusion Technology Ltd)

### Presentation Materials

 Kurskiev_FEC_2020_Summary.pdf Kurskiev_FEC_2020_v1_4.pdf Poster_Kurskiev_FEC_2020_v1_0.pdf