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Related papers: Validation of equilibrium tools on the COMPASS tok…

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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…

Plasma Physics · Physics 2025-10-06 Udaya Maurya , Amit K. Singh , Suman Aich , Jagabandhu Kumar , Rohit Kumar , Daniel Raju

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 key aspect in the modelling of magnetohydrodynamic (MHD) equilibria in tokamak devices is having access to fast, accurate, and stable numerical simulation methods. There is an increasing demand for reliable methods that can be used to…

In this paper, we present a new static and time-dependent MagnetoHydroDynamic (MHD) equilibrium code, TokaMaker, for axisymmetric configurations of magnetized plasmas, based on the well-known Grad-Shafranov equation. This code utilizes…

Plasma Physics · Physics 2024-02-28 C. Hansen , I. G. Stewart , D. Burgess , M. Pharr , S. Guizzo , F. Logak , A. O. Nelson , C. Paz-Soldan

Axisymmetric free-boundary equilibrium reconstructions of tokamak plasmas in the Lithium Tokamak eXperiment (LTX) are performed using the PSI-Tri equilibrium code. Reconstructions in LTX are complicated by the presence of long-lived…

Plasma Physics · Physics 2017-04-20 C. Hansen , D. P. Boyle , J. C. Schmitt , R. Majeski

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…

Numerical Analysis · Mathematics 2016-11-27 Didier Mazon , Jacques Blum , Cédric Boulbe , Blaise Faugeras , A. Boboc , M. Brix , P. De Vries , S. Sharapov , L. Zabeo

We present the FreeGSNKE Pulse Design Tool (FPDT), an open-source, Python-based computational framework that enables in silico testing and predictive design of tokamak plasma scenarios and control strategies. The FPDT couples the FreeGSNKE…

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…

Optimization and Control · Mathematics 2015-11-17 B. 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

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

Equilibrium reconstruction, which infers internal magnetic fields, plasmas current, and pressure distributions in tokamaks using diagnostic and coil current data, is crucial for controlled magnetic confinement nuclear fusion research.…

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

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

A new axisymmetric equilibrium solver has been written, called FEQIS (Flexible EQuIlibrium Solver), which purpose is to be used inside integrated modeling of tokamak plasmas. The FEQIS code solves the Grad-Shafranov equation and the…

Plasma Physics · Physics 2025-05-07 E. Fable , G. Tardini , L. Giannone , the ASDEX Upgrade Team

This study examines the sawtooth crash phenomenon in tokamak plasmas by modelling it as a sequence of Multi-region Relaxed Magnetohydrodynamic (MRxMHD) equilibria. Using the Stepped-Pressure Equilibrium Code (SPEC), we constructed a series…

Plasma Physics · Physics 2025-11-04 Zhisong Qu , Yao Zhou , Arunav Kumar , Joshua Doak , Joaquim Loizu , Matthew Hole

Accurate and rapid simulation of the free boundary tokamak plasma equilibrium evolution is essential for modern plasma control, stability analysis, and scenario development. This paper presents the Free-Boundary Grad-Shafranov Evolutive…

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.…

Plasma Physics · Physics 2025-09-29 J. Halpern , N. C. Logan , E. Paul , C. Paz-Soldan

A new magnetohydrodynamics (MHD) code based on initial value approach, GMEC_I, has been developed for simulating various MHD physics in tokamak plasmas, as the MHD foundation of the gyrokinetic-MHD energetic particle simulation code (GMEC)…

Plasma Physics · Physics 2024-02-15 P. Y. Jiang , Z. Y. Liu , S. Y. Liu , J. Bao , G. Y. Fu

Force-free plasmas are a good approximation where the plasma pressure is tiny compared with the magnetic pressure, which is the case during the cold vertical displacement event (VDE) of a major disruption in a tokamak. On time scales long…

Plasma Physics · Physics 2023-03-27 Zakariae Jorti , Qi Tang , Konstantin Lipnikov , Xian-Zhu Tang

3D free boundary equilibrium computations have recently been used to model external kinks and edge harmonic oscillations (EHOs), comparing with linear MHD stability codes, and nonlinear analytic theory [Kleiner et al, PPCF 61 084005…

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