Journal
JOURNAL OF PLASMA PHYSICS
Volume 89, Issue 5, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022377823000995
Keywords
fusion plasma; plasma instabilities; plasma confinement
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In this study, we demonstrate a fast adjoint-based optimization technique to counter the pressure-driven infinite-$n$ ideal ballooning mode instability in tokamak and stellarator devices, and find stable equilibrium states.
We demonstrate a fast adjoint-based method to optimise tokamak and stellarator equilibria against a pressure-driven instability known as the infinite-$n$ ideal ballooning mode. We present three finite-$\beta$ (the ratio of thermal to magnetic pressure) equilibria: one tokamak equilibrium and two stellarator equilibria that are unstable against the ballooning mode. Using the self-adjoint property of ideal magnetohydrodynamics, we construct a technique to rapidly calculate the change in the eigenvalue, a measure of ideal ballooning instability. Using the SIMSOPT optimisation framework, we then implement our fast adjoint gradient-based optimiser to minimise the eigenvalue and find stable equilibria for each of the three originally unstable equilibria.
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