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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Blum, J.¹  Boulbe, C.¹  Faugeras, B.¹ 

[1] Univ Nice Sophia Antipolis, Lab JA Dieudonne, UMR 6621, F-06108 Nice 02, France

关键词: Inverse problem;    Grad-Shafranov equation;    Finite elements method;    Real-time;    Fusion plasma;   

DOI  :  10.1016/j.jcp.2011.04.005

来源: Elsevier

【 摘 要 】

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. This is implemented in a software called Equinox with which several numerical experiments are conducted to explore the identification problem. It is shown that the identification of the profile of the averaged current density and of the safety factor as a function of the poloidal flux is very robust. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free