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Journal ArticleDOI

Magnetic analysis of non-circular cross-section tokamaks

J.L. Luxon, +1 more
- 01 Jun 1982 - 
- Vol. 22, Iss: 6, pp 813-821
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TLDR
In this paper, the MHD equilibrium configuration for circular and non-circular plasmas from measurements of the magnetic field and flux made outside the discharge was determined using least squares minimization techniques.
Abstract
Techniques are presented for determining the MHD equilibrium configuration for circular and non-circular plasmas from measurements of the magnetic field and flux made outside the discharge. Least-squares minimization techniques are introduced to provide an objective means for comparing the experimental data with the corresponding calculated equilibrium and for error estimation. Free-boundary equilibria using a simple model for the plasma-current profile with three free parameters – total current, poloidal beta, and a single parameter describing the peakedness of the current profile – are found to be statistically adequate and sufficient to describe the magnetic configuration of the discharge. In plasmas with significant non-circularity, the Shafranov dimensionless inductance, li, can be determined independent of βp. Examples of the application of the technique to discharges in the Doublet-Ill tokamak are presented.

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Citations
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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

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

MHD Equilibrium Reconstruction in the DIII-D Tokamak

TL;DR: In this paper, the development of axisymmetric magnetohydrodynamic equilibrium reconstruction to support plasma operation and data analysis in the DIII-D tokamak is discussed.
Journal ArticleDOI

The linearized CREATE-L plasma response model for the control of current, position and shape in tokamaks

TL;DR: In this article, a simple and reliable linearized plasma response model for the control of the plasma current, position and shape in tokamaks is presented, where the basic assumption made is that the plasma behaviour is described using three degrees of freedom, related to the total plasma currents, internal inductance and poloidal beta.
Journal ArticleDOI

Review of spheromak research

TL;DR: In this article, a review of spheromak research from 1979 to the present is reviewed including over 60 references, focusing on understanding and interpretation of results, and some new interpretations are presented.
References
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Book

Data Reduction and Error Analysis for the Physical Sciences

TL;DR: In this paper, Monte Carlo techniques are used to fit dependent and independent variables least squares fit to a polynomial least-squares fit to an arbitrary function fitting composite peaks direct application of the maximum likelihood.
Journal ArticleDOI

Data Reduction and Error Analysis for the Physical Sciences.

TL;DR: Numerical methods matrices graphs and tables histograms and graphs computer routines in Pascal and Monte Carlo techniques dependent and independent variables least-squares fit to a polynomial least-square fit to an arbitrary function fitting composite peaks direct application of the maximum likelihood.
Journal ArticleDOI

Studies of Internal Disruptions and m=1 Oscillations in Tokamak Discharges with Soft-X-Ray Tecniques

TL;DR: In this article, the authors identify the internal disruption as a growing sinusoidal $m=1$, $n=1$ oscillation and compare the properties of these oscillations with predictions for the $m = 1$ internal kink mode.
Journal ArticleDOI

Plasma equilibrium in a Tokamak

TL;DR: In this article, the authors considered the role of the inhomogeneity of the maintaining field and the curvature of the column cross-section in the case of weak asymmetry of the field distribution in the transverse crosssection.
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