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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…

Numerical Analysis · Mathematics 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…

Numerical Analysis · Mathematics 2011-03-18 Jacques Blum , Cedric Boulbe , Blaise Faugeras

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…

Numerical Analysis · Mathematics 2009-09-10 Jacques Blum , Cédric Boulbe , Blaise Faugeras

Recent development of real-time equilibrium code Equinox [1] using a fixed-point algorithm [2] allow major plasma magnetic parameters to be identified in real-time, using rigorous analytical method. The code relies on the boundary flux code…

Plasma Physics · Physics 2007-05-23 Krzysztof Bosak , Jacques Blum , Emmanuel Joffrin

In this paper, we consider an open-loop, finite-time, optimal control problem of attaining a specific desired current profile during the ramp-up phase by finding the best open-loop actuator input trajectories. Average density, total power,…

Plasma Physics · Physics 2017-03-08 Zhigang Ren , Chao Xu , Yongsheng Ou

The MAST (Mega Ampere Spherical Tokamak) real time plasma position controller is based on an optical linear camera placed on the mid plane of the vessel. This solution has the advantage of being a direct observation of the D…

Plasma Physics · Physics 2013-11-01 L Pangione , G McArdle , J Storrs

Real time control of many plasma parameters will be an essential aspect in the development of reliable high performance operation of Next Step Tokamaks. The main prerequisites for any feedback scheme are the precise real-time determination…

In this paper, current profiles for plasma discharges on the Mega-Ampere Spherical Tokamak (MAST) are directly calculated from pickup coil, flux loop and Motional-Stark Effect (MSE) observations via methods based in the statistical theory…

Plasma Physics · Physics 2013-01-31 G. T. von Nessi , M. J. Hole , J. Svensson , L. Appel

Modern Tokamaks have evolved from the initial axisymmetric circular plasma shape to an elongated axisymmetric plasma shape that improves the energy confinement time and the triple product, which is a generally used figure of merit for the…

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…

Plasma Physics · Physics 2020-01-29 K. Jirakova , O. Kovanda , J. Adamek , M. Komm , J. Seidl

A control oriented, lumped parameter model for the tokamak transformer including the slow flux penetration in the plasma (skin effect transformer model) is presented. The model does not require detailed or explicit information about plasma…

Plasma Physics · Physics 2015-06-03 J. A. Romero , J. -M. Moret , S. Coda , F. Felici , I. Garrido

Controlling and monitoring plasma within a tokamak device is complex and challenging. Plasma off-normal events, such as disruptions, are hindering steady-state operation. For large devices, they can even endanger the machine's integrity and…

Plasma Physics · Physics 2025-02-19 Andrin Bürli , Alessandro Pau , Thomas Koller , Olivier Sauter , JET Contributors

A lumped parameter model for tokamak plasma current and inductance time evolution as function of plasma resistance, non-inductive current drive sources and boundary voltage or poloidal field (PF) coil current drive is presented. The model…

Plasma Physics · Physics 2011-03-28 J. A. Romero , JET-EFDA Contributors

High-power-density tokamaks offer a potential solution to design cost-effective fusion devices. One way to achieve high power density is to operate at a high $\beta$ value (the ratio of thermal to magnetic pressure), i.e., $\beta \sim 1$.…

Plasma Physics · Physics 2023-03-15 Rahul Gaur , Ian G. Abel , David Dickinson , William D. Dorland

Nuclear fusion represents one of the best alternatives for a sustainable source of clean energy. Tokamaks allow to confine fusion plasma with magnetic fields and one of the main challenges in the control of the magnetic configuration is the…

Plasma Physics · Physics 2023-04-19 Chenguang Wan , Zhi Yu , Alessandro Pau , Xiaojuan Liu , Jiangang Li

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…

Plasma Physics · Physics 2014-12-08 J. Urban , L. C. Appel , J. F. Artaud , B. Faugeras , J. Havlicek , M. Komm , I. Lupelli , M. Peterka

Reliable confinement and stable performance of tokamak fusion plasmas require accurate real-time magnetic shape control. A promising route to reduced latency and increased flexibility in plasma control systems (PCS) is to emulate…

Plasma Physics · Physics 2026-04-02 K. Pentland , A. Ross , N. C. Amorisco , P. Cavestany , T. Nunn , A. Agnello , G. K. Holt , C. Vincent

In this paper, an automatic sensor validation strategy for the measurements of plasma line density in the ENEA-FTU tokamak is presented. Density measurements are performed by a 5-channel DCN interferometer. The approach proposed is based on…

Instrumentation and Detectors · Physics 2007-05-23 Giuliano Buceti , Luigi Fortuna , Alessandro Rizzo , Maria Gabriella Xibilia

In tokamak operations, accurate equilibrium reconstruction is essential for reliable real-time control and realistic post-shot instability analysis. The safety factor (q) profile defines the magnetic field line pitch angle, which is the…

Plasma Physics · Physics 2023-07-12 Xishuo Wei , Ge Dong , Shuying Sun , William Tang , Zhihong Lin , Hongfei Du

Reliable position and shape control in tokamak plasmas requires accurate real-time regulation of several strongly coupled shape parameters. The control vectors that disentangle these couplings, referred to as \textit{virtual circuits}…

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