Stability impacts from the current and pressure profile modifications within finite sized island

doi:10.1088/1674-1056/acd369

Abstract The stability (or instability) of finite sized magnetic island could play a significant role in disruption avoidance or disruption mitigation dynamics. Especially, various current and pressure profile modifications, such as the current drive and heating caused by electron cyclotron wave, or the radiative cooling and current expulsion caused by the shattered pellet injection could be applied within the island to modify its stability, thus changing the ensuing dynamics. In this study, we calculate the mode structure modification caused by such profile changes within the island using the perturbed equilibrium approach, thus obtain the change of stability criterion $\varDelta$' and assess the corresponding quasi-linear island stability. The positive helical current perturbation is found to always stabilize the island, while the negative one is found to do the opposite, in agreement with previous results. The pressure bump or hole within the island has a more complicated stability impact. In the small island regime, its contribution is monotonic, with pressure bump that tends to stabilize the island while pressure hole destabilizes it. This effect is relatively weak, though, due to the cancellation of the pressure term's odd parity contribution in the second derivatives of the mode structure. In the large island regime, such cancellation is broken due to the island asymmetry, and the pressure contribution to stability is manifested, which is non-monotonic. The stability analysis in this paper helps to more accurately clarify the expected island response in the presence of profile modifications caused by disruption avoidance or mitigation systems.

Keywords: tokamak magnetic island tearing mode magneto-hydrodynamic (MHD) instability

Received: 30 December 2022
Revised: 05 May 2023
Accepted manuscript online: 09 May 2023

PACS:	52.55.Fa	(Tokamaks, spherical tokamaks)
	52.55.-s	(Magnetic confinement and equilibrium)
	52.35.Py	(Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))

Fund: Project supported by the National MCF Energy Research and Development Program of China (Grant No. 2019YFE03010001) and the National Natural Science Foundation of China (Grant No. 11905004).

Corresponding Authors: Di Hu
E-mail: hudi2@buaa.edu.cn

Cite this article:

Yuxiang Sun(孙宇翔) and Di Hu(胡地) Stability impacts from the current and pressure profile modifications within finite sized island 2023 Chin. Phys. B 32 075212

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