Pressure Limiting Instabilities in Tokamaks
DOI:
https://doi.org/10.2218/esjs.10962Keywords:
Nuclear Fusion, Plasma, TokamakAbstract
The plasma pressure achievable in a tokamak fusion reactor may be limited by instabilities like the ideal ballooning mode, a pressure-driven instability that acts to degrade plasma confinement. Here we investigate the sensitivity of the shape of the magnetic flux surface to the ideal ballooning mode; in particular, we modify the parameters describing the shape of magnetic flux surfaces of the equilibrium and perform infinite-n ideal ballooning scans to assess how shaping affects proximity to marginal instability. We find that for the parameter space considered, increasing squareness and elongation could help stabilise the plasma against the ideal ballooning mode instability.
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References
ASDEX Team ‘The H-mode of ASDEX’ Nuclear Fusion 29 11 (1989)
Connor, J. W. et al. ‘Shear, Periodicity, and Plasma Ballooning Modes’ Physical Review Letters 40 6 (1978)
Connor, J. W. et al. ‘High Mode Number Stability of an Axisymmetric Toroidal Plasma’ Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 365 1720 (1979)
Cowley, S. C. Ideal Ballooning Lecture received from C. M. Roach in a personal communication (2024)
Dewar, R. and Glasser, A. ‘Ballooning Mode Spectrum in General Toroidal Systems’ Princeton Plasma Physics Lab (1982)
Dickinson, D. et al. ‘Kinetic Instabilities That Limit β in the Edge of a Tokamak Plasma: A Picture of an H-Mode Pedestal’ Physical Review Letters 108 13 (2012)
Dudding, H. G. ‘A New Quasilinear Saturation Rule for Tokamak Turbulence’ (2022)
Freidberg, J. P. ‘Ideal MHD’ (Cambridge University Press; 2014)
Gaur, R. et al. ‘An Adjoint-Based Method for Optimising MHD Equilibria Against the Infinite-N, Ideal Ballooning Mode’ Journal of Plasma Physics 89 5 (2023)
Giannakoglou, K. C. and Papadimitriou, D. I. ‘Adjoint Methods for Shape Optimization’ in Optimization and Computational Fluid Dynamics (Springer Science & Business Media; 2008)
Imada, K. et al. ‘Observation of a New Pedestal Stability Regime in MAST Upgrade H-mode Plasmas’ Nuclear Fusion 64 8 (2024)
Lao, L. et al. ‘Reconstruction of Current Profile Parameters and Plasma Shapes in Tokamaks’ Nuclear fusion 25 11 (1985)
Miller, R. L. et al. ‘Noncircular, Finite Aspect Ratio, Local Equilibrium Model’ Physics of Plasmas 5 4 (1998)
Patel, B. S. et al. ‘Pyrokinetics - a python library to standardise gyrokinetic analysis’ Journal of Open Source Software 9 95, 5866 (2024)
Roach, C. M. Ballooning Modes Lecture C. M. Roach, personal communication (2023)
Snyder, P. et al. ‘A First-Principles Predictive Model of the Pedestal Height and Width: Development, Testing and ITER Optimization With the EPED Model’ Nuclear Fusion 51 10 (2011)
Turnbull, A. D. et al. ‘Improved Magnetohydrodynamic Stability Through Optimization of Higher Order Moments in Cross-Section Shape of Tokamaks’ Physics of Plasmas 6 4 (1999)
Wesson, J. ‘Tokamaks’ (Oxford University Press; 2011)
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Copyright (c) 2025 Benedict Floyd, Colin M Roach, Harry G Dudding

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