Blaise Faugeras

  1. Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time.

    Authors: Jacques Blum, Blaise Faugeras, Cedric Boulbe
    Subjects: Numerical Analysis
    Abstract

    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 the toroidal component of the plasma current density. This
    paper deals with the identification of this nonlinearity source from
    experimental measurements in real time. The proposed method is based on a fixed
    point algorithm, a finite element resolution, a reduced basis method and a
    least-square optimization formulation.

  2. Real-time identification of the current density profile in the JET Tokamak: method and validation.

    Authors: Jacques Blum, Cédric Boulbe, Blaise Faugeras, Didier Mazon, A. Boboc, M. Brix, P. De Vries, S. Sharapov, L. Zabeo
    Subjects: Numerical Analysis
    Abstract

    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 leading effect for reaching a steady-state high performance regime of
    operation. In this paper we present the methodology followed to identify
    numerically the plasma current density in a Tokamak and its equilibrium.

  3. Real-time identification of the current density profile in the JET Tokamak: method and validation.

    Authors: Jacques Blum, Cédric Boulbe, Blaise Faugeras, Didier Mazon, A. Boboc, M. Brix, P. De Vries, S. Sharapov, L. Zabeo
    Subjects: Numerical Analysis
    Abstract

    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 leading effect for reaching a steady-state high performance regime of
    operation. In this paper we present the methodology followed to identify
    numerically the plasma current density in a Tokamak and its equilibrium.

  4. Real-Time Equilibrium Reconstruction in a Tokamak.

    Authors: Jacques Blum, Cédric Boulbe, Blaise Faugeras
    Subjects: Numerical Analysis
    Abstract

    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 axisymmetric equilibrium of a plasma in a Tokamak. The experimental
    measurements that enable this identification are the magnetics on the vacuum
    vessel, but also polarimetric and interferometric measures on several chords,
    as well as motional Stark effect or pressure measurements.

  5. Real-Time Equilibrium Reconstruction in a Tokamak.

    Authors: Jacques Blum, Cédric Boulbe, Blaise Faugeras
    Subjects: Numerical Analysis
    Abstract

    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 axisymmetric equilibrium of a plasma in a Tokamak. The experimental
    measurements that enable this identification are the magnetics on the vacuum
    vessel, but also polarimetric and interferometric measures on several chords,
    as well as motional Stark effect or pressure measurements.

  6. Real time plasma equilibrium reconstruction in a Tokamak.

    Authors: Jacques Blum, Cédric Boulbe, Blaise Faugeras
    Subjects: Numerical Analysis
    Abstract

    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 toroidal component of the plasma current density. This paper deals with the
    real time identification of this non linear source from experimental
    measurements. The proposed method is based on a fixed point algorithm, a finite
    element resolution, a reduced basis method and a least-square optimization
    formulation.

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