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Journal ArticleDOI

Reconstruction of current profile parameters and plasma shapes in tokamaks

L. L. Lao, +4 more
- 01 Nov 1985 - 
- Vol. 25, Iss: 11, pp 1611-1622
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TLDR
In this paper, an efficient method is given to reconstruct the current profile parameters, the plasma shape, and a current profile consistent with the magnetohydrodynamic equilibrium constraint from external magnetic measurements, based on a Picard iteration approach.
Abstract
An efficient method is given to reconstruct the current profile parameters, the plasma shape, and a current profile consistent with the magnetohydrodynamic equilibrium constraint from external magnetic measurements, based on a Picard iteration approach which approximately conserves the measurements. Computational efforts are reduced by parametrizing the current profile linearly in terms of a number of physical parameters. Results of detailed comparative calculations and a sensitivity study are described. Illustrative calculations to reconstruct the current profiles and plasma shapes in ohmically and auxiliarily heated Doublet III plasmas are given which show many interesting features of the current profiles.

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Citations
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Journal ArticleDOI

Equilibrium analysis of current profiles in tokamaks

TL;DR: In this paper, an efficient method is given for self-consistent reconstruction of the tokamak current profiles and their associated magnetic topology using the magnetohydrodynamic (MHD) equilibrium constraint from external magnetic measurements, kinetic profile measurements, internal poloidal magnetic field measurements, and topological information from soft X-ray (SXR) measurements.
Journal ArticleDOI

First results from Alcator‐C‐MOD*

TL;DR: Early operation of the Alcator C-MOD tokamak [I.H. Hutchinson et al., 1990] is surveyed and the edge plasma shows a wealth of marfe-like phenomena, including a transition to detachment from the divertor plates with accompanying radiative divertor regions.
Journal ArticleDOI

Numerical studies of edge localized instabilities in tokamaks

TL;DR: In this paper, a new computational tool, edge localized instabilities in tokamaks equilibria (ELITE), has been developed to help our understanding of short wavelength instabilities close to the edge of tokak plasmas.
Journal ArticleDOI

Transport by intermittent convection in the boundary of the DIII-D tokamak

TL;DR: Intermittent plasma objects (IPOs) featuring higher pressure than the surrounding plasma, and responsible for ∼50% of the E×BT radial transport, are observed in the scrape off layer (SOL) and edge of the DIII-D tokamak.
Journal ArticleDOI

Real time equilibrium reconstruction for tokamak discharge control

TL;DR: In this article, a real-time solution for the spatial distribution of poloidal flux and toroidal current density is presented, which is consistent with plasma force balance, allowing accurate evaluation of parameters such as discharge shape and safety factor profile.
References
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Journal ArticleDOI

Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

TL;DR: In this article, numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given, where the toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of psi.
Journal ArticleDOI

Determination of the parameters βI and li in a Tokamak for arbitrary shape of plasma pinch cross-section

V D Shafranov
- 01 Sep 1971 - 
TL;DR: In this article, the pressure balance equation and relation between the measured external magnetic field of a toroidal plasma column and its inductance were found for the general case of an arbitrary departure from cylindrical symmetry.
Journal ArticleDOI

The self-consistent equilibrium and diffusion code sced

TL;DR: The SCED code as mentioned in this paper solves the equilibrium equations for a Tokamak axisymmetric configuration and the plasma diffusion equations using a variational formulation of the problem and the equations of the poloidal flux ψ are solved by a finite element method; the Picard and the Newton algorithms are tested for the treatment of the nonlinearities and compared on TFR and JET equilibrium configurations.
Journal ArticleDOI

MHD beta limits: scaling laws and comparison with Doublet III data

TL;DR: In this article, simple scaling laws for the ideal-MHD β-limit (βc) as a function of plasma shape parameters (inverse aspect ratio e, elongation κ, and triangularity δ) in the range covered by recent high-β (≤ 4.5%) experiments in Doublet III are derived.
Journal ArticleDOI

MHD equilibrium in non-circular tokamaks with field-shaping coil systems

F.J. Helton, +1 more
- 01 Nov 1978 - 
TL;DR: In this paper, a numerical solution to the appropriate 2-D free-boundary elliptic nonlinear PDE has been used to relate current profile, coil configuration, and plasma geometry for non-circular tokamaks with external field-shaping coil systems.
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