Magnetic measurement based methods in determination of plasma equilibrium parameters in Damavand tokamak

Noori, Ehsanallah; Sadeghi, Yahya; Mehdian, H.

doi:10.1088/1748-0221/11/06/p06015

Cited by 3 publications

(1 citation statement)

References 28 publications

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“…Sometimes S 1 − S 3 are called Shafranov integrals [8-12, 29, 30], though only two equations, (2) and (3), have been introduced in [1,31]. Very often just this pair is used for the magnetic analysis [3,8,9,13,[29][30][31][32][33][34][35][36][37][38][39][40][41]. It provides two combinations β p + ℓ i /2 and β p − µ i , which would allow separation of ℓ i if either β p or µ i could be extracted from other diagnostics.…”

Section: Introductionmentioning

confidence: 99%

Theoretically assisted and empirical scalings in the problem of determination of internal inductance in tokamaks

Pustovitov

2023

Plasma Phys. Control. Fusion

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The problem of inferring the internal inductance Li from external magnetic measurements in tokamaks is considered. It was practically resolved in JET (Barana O et al 2002 Plasma Phys. Control. Fusion 44 2271), but several questions remain to be addressed before extrapolation of that method on other tokamaks. These naturally arise because of the integral nature of Li determined by unknown distribution of the magnetic field inside the plasma. Without universal solutions, the quality of approximations should be examined along with potential experimental enforcements of the existing procedures. This is the main goal of the study that is fully analytical. Several relevant quantities are calculated for the large-aspect-ratio plasma with elliptical shifted magnetic surfaces. Usually the plasma elongation K is mentioned as a key factor in the task. Here it is explicitly shown that not only K , but its radial derivative too plays a role. The latter parameter did not appear in the JET scaling and in the accompanying discussions. It is also shown that the K-dependent term representing there the first iteration actually brings a systematic error. Therefore, several improvements to that scaling can be proposed. The study is based on the use of virial relations for the toroidal axisymmetric configurations.

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Section: Introductionmentioning

confidence: 99%

Theoretically assisted and empirical scalings in the problem of determination of internal inductance in tokamaks

Pustovitov

2023

Plasma Phys. Control. Fusion

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Design and fabrication of an optimized Rogowski coil for plasma current sensing and the operation confidence of Alvand tokamak

Eydan

Shirani

Sadeghi

et al. 2020

Nuclear Engineering and Technology

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Virial relations for elongated plasmas in a tokamak and their potential use in magnetic diagnostics

Pustovitov

2022

Physics of Plasmas

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Virial relations are traditionally considered as providing the diamagnetic parameter, poloidal beta [Formula: see text], and internal inductance [Formula: see text] through the integrals determined by the plasma shape and poloidal magnetic field at the plasma–vacuum interface. This gives rise to discussions of their potential applications for diagnostic purposes. Recently, this concept was analyzed in the numerical study of Bongard et al. [Phys. Plasmas 23, 072508 (2016)]. Here, we analytically calculate three main virial integrals (traditionally denoted as [Formula: see text], [Formula: see text], and [Formula: see text]) for the plasma with elliptical cross section. The results are expressed through the plasma elongation, its radial derivative, and a similar derivative [Formula: see text] of the Shafranov shift, all taken at the plasma boundary. The geometry of magnetic surfaces inside is not constrained, which guaranties the applicability of the results in a wide area. It is shown that [Formula: see text] must be a constant, [Formula: see text] weakly depends on [Formula: see text], and only [Formula: see text] is a sensitive function of the plasma state through [Formula: see text]. This makes [Formula: see text] the quantity most suitable for diagnostics, while independence of [Formula: see text] on the plasma shape, [Formula: see text], and [Formula: see text] can be good for calibrations. The difficulties of inferring [Formula: see text] from the measured [Formula: see text] are now shown explicitly.

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Magnetic measurement based methods in determination of plasma equilibrium parameters in Damavand tokamak

Cited by 3 publications

References 28 publications

Theoretically assisted and empirical scalings in the problem of determination of internal inductance in tokamaks

Theoretically assisted and empirical scalings in the problem of determination of internal inductance in tokamaks

Design and fabrication of an optimized Rogowski coil for plasma current sensing and the operation confidence of Alvand tokamak

Virial relations for elongated plasmas in a tokamak and their potential use in magnetic diagnostics

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