Numerical investigation of the inverse problem of MHD equilibrium of toroidal plasma

Вабищевич, П. Н.; Zotov, I. V.

doi:10.1007/bf01126582

Cited by 5 publications

(6 citation statements)

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“…For our discussion it is important that the field B pl measured outside the plasma carries information about its boundary but nothing more. This is the reason why the problems of determining the position and shape of the plasma from externally measured magnetic signals are successfully solved both for tokamaks [58][59][60][61][62] and for stellarators [37,38,63]. Very good accuracy is achieved in practice, and knowledge of p(r) and j(r) is not required for this.…”

Section: Discussionmentioning

confidence: 99%

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Pustovitov

2001

Nucl. Fusion

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Restrictions on magnetic diagnostics are discussed. Being related to the integral nature of the measurable quantities, these follow from the fundamental laws of electromagnetism. A series of examples demonstrating the strength of these restrictions is analysed. The general rule is emphasized that information obtained from external magnetic measurements is insufficient for reliable evaluation of plasma current and pressure profiles in tokamaks and in stellarators. The underlying reason is that outside the plasma the self-field of the equilibrium plasma currents is determined by the boundary conditions on the plasma surface alone.

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Section: Discussionmentioning

confidence: 99%

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Pustovitov

2001

Nucl. Fusion

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“…The plasma pressure was less well constrained, even with the diamagnetic loop measurement, and the internal inductance also had significant variation. Plasma internal inductance was determined within ±9%, indicating that the general shape of the profile is determined by magnetic diagnostics alone [18,19]. The energy parameters β t and β pol both had a ±15% relative uncertainty in the fit.…”

Section: Accuracy Of Fitted Parametersmentioning

confidence: 99%

Equilibrium properties at very low aspect ratio in the Pegasus toroidal experiment

et al. 2008

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Equilibrium reconstructions of low-aspect ratio (A < 1.3) discharges in the Pegasus toroidal experiment have been performed. Magnetic diagnostics are used for equilibrium constraint and a filament code is used to estimate the significant currents flowing in the vacuum vessel walls. This technique is able to fit the global plasma parameters of plasma current and major radius to within 5%, internal inductance to within 10% and plasma pressure to within 15% as determined by Monte Carlo estimation of the uncertainties in the fit parameters. Determination of the equilibrium properties of the plasma allows an understanding of the dynamics of internal tearing modes and external ideal kink modes that limit plasma performance. Internal tearing modes were found to degrade plasma confinement when rational surfaces are located in regions of low magnetic shear early in the discharge when temperature is lower and resistivity is higher. This confinement degradation limits the maximum achievable plasma current and pressure. Disruptions with precursors growing with a time of ∼90 µs have been found to be consistent with ideal external kink modes with a hybrid growth time.

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“…This is the reason why the problems of determining the position and shape of the plasma from externally measured magnetic signals are successfully solved both for tokamaks [58][59][60][61][62] and for stellarators [37,38,63]. Very good accuracy is achieved in practice, and knowledge of p(r) and j(r) is not required for this.…”

Section: Resultsmentioning

confidence: 99%

Surface Morphology of Tl₂Ba₂Ca₂Cu₃O_y Thin Films Prepared by Thallium Diffusion Process

Adachi¹,

Adachi²,

Ichikawa³

et al. 1991

Jpn. J. Appl. Phys.

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Numerical investigation of the inverse problem of MHD equilibrium of toroidal plasma

Cited by 5 publications

References 1 publication

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Equilibrium properties at very low aspect ratio in the Pegasus toroidal experiment

Surface Morphology of Tl₂Ba₂Ca₂Cu₃O_y Thin Films Prepared by Thallium Diffusion Process

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Numerical investigation of the inverse problem of MHD equilibrium of toroidal plasma

Cited by 5 publications

References 1 publication

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Magnetic diagnostics: General principles and the problem of reconstruction of plasma current and pressure profiles in toroidal systems

Equilibrium properties at very low aspect ratio in the Pegasus toroidal experiment

Surface Morphology of Tl2Ba2Ca2Cu3Oy Thin Films Prepared by Thallium Diffusion Process

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Surface Morphology of Tl₂Ba₂Ca₂Cu₃O_y Thin Films Prepared by Thallium Diffusion Process