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Equilibrium analysis of current profiles in tokamaks

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TLDR
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.
Abstract
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. Illustrative examples for beam heated H-mode divertor discharges in the DIII-D tokamak are presented, using the experimentally measured kinetic profile information and external magnetic data from the existing diagnostics. Comparative reconstructions of the current profile using various combinations of diagnostics are given. Also presented is an alternative magnetic analysis method in which the MHD equilibrium is reconstructed using external magnetic data and a constraint on the edge pressure gradient. The results of a sensitivity study are given which show that the axial safety factor q(0) can be more accurately determined when additional information from internal poloidal magnetic measurements is used in conjunction with the external magnetic, kinetic and SXR topological data.

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Citations
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Journal ArticleDOI

Chapter 3: MHD stability, operational limits and disruptions

TL;DR: A review of recent advances in the area of MHD stability and disruptions, since the publication of the 1999 ITER Physics Basis document (1999 Nucl. Fusion 39 2137-2664), is reviewed in this paper.
Journal ArticleDOI

Experimental divertor physics

TL;DR: In this paper, the authors reviewed the physics of diveror in tokamaks from an experimental point of view, although where possible simple analytic modelling is included, and provided a framework for comparison of the experimental results with simply derived expectations.
Journal ArticleDOI

The CHEASE code for toroidal MHD equilibria

TL;DR: The CHEASE code as mentioned in this paper solves the Grad-Shafranov equation for toroidal MHD equilibria using a Hermite bicubic finite element discretization with pressure, current profiles and plasma boundaries specified by analytical forms or sets of experimental data points.
Journal ArticleDOI

The role of the electric field in confinement

TL;DR: Theories of the electric field effect on toroidal plasma confinement are reviewed in this paper with the emphasis placed on recent progress in the areas of anomalous transport, structural formation and bifurcation, research which has been motivated by the discovery of improved confinement.
References
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Journal ArticleDOI

Reconstruction of current profile parameters and plasma shapes in tokamaks

TL;DR: 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.
Journal ArticleDOI

Separation of β̄p and ℓi in tokamaks of non-circular cross-section

TL;DR: In this paper, integral relations for the average poloidal beta p and the plasma internal inductance li are derived from the magnetohydrodynamic (MHD) equilibrium equation for an axisymmetric torus.
Journal ArticleDOI

Tokamak equilibrium reconstruction using Faraday rotation measurements

F. Hofmann, +1 more
- 01 Oct 1988 - 
TL;DR: In this paper, a new equilibrium reconstruction procedure using magnetic, line integrated electron density and Faraday rotation measurements has been developed, which allows source functions with up to six independent parameters to be reconstructed.
Journal ArticleDOI

An efficient technique for magnetic analysis of non-circular, high-beta tokamak equilibria

D.W. Swain, +1 more
- 01 Aug 1982 - 
TL;DR: In this paper, a method for determining plasma shape and global properties of high-beta non-circular tokamak equilibria (βp, β, q and li) from magnetic sensor data is described.
Journal ArticleDOI

Study of giant edge-localized modes in DIII-D and comparison with ballooning theory.

TL;DR: For a considerable range of plasma currents, the experimental pressure gradient before a giant ELM is close to the theoretically predicted marginal stability limit for the first regime of the ideal ballooning mode.
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