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This paper deals with the numerical reconstruction of the plasma current density in a Tokamak and of its equilibrium. The problem consists in the identification of a non-linear source in the 2D Grad-Shafranov equation, which governs the…

数值分析 · 数学 2009-11-26 Jacques Blum , Cédric Boulbe , Blaise Faugeras

The reconstruction of the equilibrium of a plasma in a Tokamak is a free boundary problem described by the Grad-Shafranov equation in axisymmetric configuration. The right-hand side of this equation is a nonlinear source, which represents…

数值分析 · 数学 2011-03-18 Jacques Blum , Cedric Boulbe , Blaise Faugeras

Various MHD (magnetohydrodynamic) equilibrium tools, some of which being recently developed or considerably updated, are used on the COMPASS tokamak at IPP Prague. MHD equilibrium is a fundamental property of the tokamak plasma, whose…

等离子体物理 · 物理学 2014-12-08 J. Urban , L. C. Appel , J. F. Artaud , B. Faugeras , J. Havlicek , M. Komm , I. Lupelli , M. Peterka

Uncertainties and errors in magnetic equilibrium reconstructions are a wide-spread problem in interpreting experimental data measured in the tokamak edge. This study demonstrates errors in EFIT++ reconstructions performed on the COMPASS…

等离子体物理 · 物理学 2020-01-29 K. Jirakova , O. Kovanda , J. Adamek , M. Komm , J. Seidl

This study investigates the feasibility of reconstructing the last closed flux surface (LCFS) in the DIII-D tokamak using neural network models trained on reduced input feature sets, addressing an ill-posed task. Two models are compared:…

等离子体物理 · 物理学 2025-05-19 M. S. Stokolesov , M. R. Nurgaliev , I. P. Kharitonov , E. V. Adishchev , D. I. Sorokin , R. Clark , D. M. Orlov

We investigate the reconstruction of a turbulent flow field in the atmospheric boundary layer from a time series of lidar measurements, using Large-Eddy Simulations (LES) and a 4D-Var data assimilation algorithm. This leads to an…

流体动力学 · 物理学 2020-11-17 Pieter Bauweraerts , Johan Meyers

The problem of equilibrium of a plasma in a Tokamak is a free boundary problemdescribed by the Grad-Shafranov equation in axisymmetric configurations. The right hand side of this equation is a non linear source, which represents the…

数值分析 · 数学 2009-09-10 Jacques Blum , Cédric Boulbe , Blaise Faugeras

A new three-dimensional electromagnetic modeling tool ThinCurr has been developed using the existing PSI-Tet finite-element code in support of conducting structure design work for both the SPARC and DIII-D tokamaks. Within this framework a…

等离子体物理 · 物理学 2023-09-28 A. F. Battey , C. Hansen , D. Garnier , D. Weisberg , C. Paz-Soldan , R. Sweeney , R. A. Tinguely , A. J. Creely

Solenoid-free tokamak startup techniques are essential for spherical tokamaks and offer a pathway to cost reduction and design simplification in fusion energy systems. Local helicity injection (LHI) is one such approach, employing compact…

等离子体物理 · 物理学 2025-11-07 C. E. Schaefer , A. C. Sontag , N. M. Ferraro , J. D. Weberski , S. J. Diem

The time varying currents in the Ohmic transformer in the SST-1 tokamak induce voltages that drive large eddy currents in the passive structures like the vacuum vessel and cryostat. Since the vacuum vessel and the cryostat are toroidally…

A neural network model, EFITNN, has been developed capable of real-time magnetic equilibrium reconstruction based on HL-3 tokamak magnetic measurement signals. The model processes inputs from 68 channels of magnetic measurement data…

等离子体物理 · 物理学 2024-05-21 Guohui Zheng , Songfen Liu , Zongyu Yang , Rui Ma , Xinwen Gong , Ao Wang , Shuo Wang , Wulyu Zhong

This paper proposes a new fast and stable algorithm for the reconstruction of the plasma boundary from discrete magnetic measurements taken at several locations surrounding the vacuum vessel. The resolution of this inverse problem takes two…

最优化与控制 · 数学 2015-11-17 B. Faugeras

The plasma edge of a tokamak configuration is characterized by turbulent dynamics leading to enhanced transport. We construct a simplified 3D Hasegawa--Wakatani model reducing to a single partial differential equation for the turbulent…

等离子体物理 · 物理学 2023-09-13 Nakia Carlevaro , Giovanni Montani , Fabio Moretti

The prediction of perturbed equilibrium models for tokamaks with small 3D fields is strongly dependent on which reference frame for axisymmetry is assumed - for example, the toroidal field (TF) coil vs the poloidal field (PF) coil centroid.…

等离子体物理 · 物理学 2025-09-29 J. Halpern , N. C. Logan , E. Paul , C. Paz-Soldan

The dynamics of large scale plasma instabilities can strongly be influenced by the mutual interaction with currents flowing in conducting vessel structures. Especially eddy currents caused by time-varying magnetic perturbations and halo…

This work is motivated by the monitoring of conductive clogging deposits in steam generator at the level of support plates. One would like to use monoaxial coils measurements to obtain estimates on the clogging volume. We propose a 3D shape…

数值分析 · 数学 2015-02-25 Houssem Haddar , Mohamed Kamel Riahi , Zixian Jiang

A free-boundary, axisymmetric magnetohydrodynamic (MHD) equilibrium code, pyIPREQ, has been developed for Tokamak plasmas using finite difference and Green's function approach. The code builds upon the foundational frameworks of the PEST…

等离子体物理 · 物理学 2025-10-06 Udaya Maurya , Amit K. Singh , Suman Aich , Jagabandhu Kumar , Rohit Kumar , Daniel Raju

An adequate modelling of the electromagnetic interaction of the plasma with the surrounding conductors is paramount for the correct reproduction of 3D plasma dynamics. Simulations of the latter provide in turn useful predictions regarding…

等离子体物理 · 物理学 2025-01-13 Raffaele Sparago , Francisco Javier Artola , Matthias Hoelzl

It is known that magnetic perturbations can mitigate edge localized modes (ELMs) in experiments, for example MAST (Kirk et al 2013 Nucl. Fusion 53 043007). One hypothesis is that the magnetic perturbations cause a three dimensional…

等离子体物理 · 物理学 2015-10-29 C J Ham , I T Chapman , A Kirk , S Saarelma

The real-time reconstruction of the plasma magnetic equilibrium in a Tokamak is a key point to access high performance regimes. Indeed, the shape of the plasma current density profile is a direct output of the reconstruction and has a…

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