skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Drift kinetic theory of the NTM magnetic islands in a finite beta general geometry tokamak plasma

Journal Article · · Nuclear Fusion
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [1]
  1. Univ. of York (United Kingdom)
  2. General Atomics, San Diego, CA (United States)
  3. Culham Science Centre, Abingdon (United Kingdom). Culham Centre for Fusion Energy (CCFE), EURATOM/UKAEA Fusion Association
  4. Oak Ridge Associated Univ., Oak Ridge, TN (United States)
  5. Chinese Academy of Sciences (CAS), Hefei (China)

In (Imada et al 2019 Nucl. Fusion 59 046016 and references therein) a new 4D drift kinetic nonlinear theory, valid in the limit of a low beta, small inverse aspect ratio, circular cross section, toroidal geometry, to describe the plasma response to the neoclassical tearing mode (NTM) magnetic perturbation is derived. In (Dudkovskaia et al 2021 Plasma Phys. Control. Fusion 63 054001) this theory is reduced in a low collisionality limit, which allows a dimensionality reduction to a 3D problem to efficiently resolve the collisional dissipation layer in the vicinity of the trapped-passing boundary. (Dudkovskaia et al 2021 Plasma Phys. Control. Fusion 63 054001) adopts an improved model for the magnetic drift frequency, which reduces the threshold magnetic island half-width from $$8.73\rho_{b i}$$, where $$\rho_{b i}$$ is the trapped ion banana orbit width, to $$1.46 \rho_{b i}$$, making it in closer agreement with experimental observations for the large aspect ratio tokamak equilibrium. In the present paper, the theory is extended to a high beta, arbitrary tokamak geometry to capture the plasma shaping effects on the NTM threshold physics with the focus on the non-zero triangularity discharges that are known to have a strong impact on the plasma MHD stability. First, it is found that the higher triangularity plasma is more prone to NTMs which is in agreement with the 2/1 tearing mode onset relative frequency measurements in DIII-D. Second, the NTM threshold dependence on the tokamak inverse aspect ratio obtained in (Dudkovskaia et al 2021 Plasma Phys. Control. Fusion 63 054001) is refined and extended to a finite aspect ratio limit. Third, the NTM threshold dependence on poloidal beta is obtained and benchmarked against the EAST threshold island width measurements.

Research Organization:
General Atomics, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); European Commission (EC)
Grant/Contract Number:
FC02-04ER54698; 101052200-EUROfusion
OSTI ID:
1909826
Journal Information:
Nuclear Fusion, Vol. 63, Issue 1; ISSN 0029-5515
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (28)

Threshold for neoclassical magnetic islands in a low collision frequency tokamak journal January 1996
Helical temperature perturbations associated with tearing modes in tokamak plasmas journal March 1995
Beta limits in long-pulse tokamak discharges journal May 1997
Nonlinear Kinetic Ion Response to Small Scale Magnetic Islands in Tokamak Plasmas: Neoclassical Tearing Mode Threshold Physics journal October 2018
Reduction of the Ion Drive and ρ θ * Scaling of the Neoclassical Tearing Mode journal February 2002
Drift kinetic response of ions to magnetic island perturbation and effects on NTM threshold journal November 2018
Nonlinear growth of the tearing mode journal January 1973
Kinetic effects on the currents determining the stability of a magnetic island in tokamaks journal May 2016
Resistive wall mode and neoclassical tearing mode coupling in rotating tokamak plasmas journal July 2013
Dependence of ideal-MHD kink and ballooning modes on plasma shape and profiles in tokamaks journal June 1979
Finite ion orbit width effect on the neoclassical tearing mode threshold in a tokamak plasma journal February 2019
Cross–machine benchmarking for ITER of neoclassical tearing mode stabilization by electron cyclotron current drive journal February 2006
Aspect ratio effects on neoclassical tearing modes from comparison between DIII-D and National Spherical Torus Experiment journal June 2012
Monte Carlo   f simulation of the bootstrap current in the presence of a magnetic island journal December 2002
Variational moment solutions to the Grad–Shafranov equation journal January 1981
Rotating nonlinear magnetic islands in a tokamak plasma journal May 1995
Neoclassical tearing modes journal December 2000
On recent results in the modelling of neoclassical-tearing-mode stabilization via electron cyclotron current drive and their impact on the design of the upper EC launcher for ITER journal January 2015
Gyrokinetic and gyrofluid investigation of magnetic islands in tokamaks journal November 2010
Marginal  -limit for neoclassical tearing modes in JET H-mode discharges journal August 2002
An overview of the numerical methods for tokamak plasma equilibrium computation implemented in the NICE code journal November 2020
Plasma transport near the separatrix of a magnetic island journal August 1997
Curvature effects on the dynamics of tearing modes in tokamaks journal October 2001
Noncircular, finite aspect ratio, local equilibrium model journal April 1998
Drift kinetic theory of neoclassical tearing modes in a low collisionality tokamak plasma: magnetic island threshold physics journal April 2021
Nonlinear dynamics of magnetic islands with curvature and pressure journal January 1985
Chapter 3: MHD stability, operational limits and disruptions journal June 2007
Island bootstrap current modification of the nonlinear dynamics of the tearing mode journal January 1986