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Title
  • en Boundary integral equation approach based on a polynomial expansion of the current distribution to reconstruct the current density profile in tokamak plasmas
Creator
    • en Yamaguchi, Satoki
    • en Fukunaga, Takaaki
Accessrights open access
Rights
  • en © 2005 IOP Publishing Ltd.This is an author-created, un-copyedited version of an article accepted for publication in Nuclear Fusion. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/0029-5515/45/3/001
Subject
  • NDC 429
Description
  • Abstract en A new approach has been proposed to reconstruct the current density profile in tokamak plasmas. The boundary-only integral equation derived from the Grad–Shafranov equation, under the assumption of polynomial expansion of current density, will have no unknowns except for the polynomial expansion coefficients, once the magnetic flux and its derivative have been given along the plasma boundary with the aid of Kurihara's Cauchy-condition surface method based on magnetic sensor data. In addition to the discretized form of the equation, some constraints are taken into account: the total plasma current, zero-current along the plasma boundary and a scalar relationship derived from the MHD equilibrium to relate the current density to the magnetic flux. It is also assumed that the poloidal field, as a quantity closely related to the current density, can be measured at a certain number of points inside the plasma. The whole set of linear equations is solved using the singular value decomposition technique to determine the polynomial expansion coefficients. The validity of the present technique and the quality of the current density solution have been investigated through test calculations for some plasma configurations.
Publisher en IOP Publishing
Date
    Issued2005-03
Language
  • eng
Resource Type journal article
Version Type AM
Identifier HDL http://hdl.handle.net/2115/58434
Relation
  • isVersionOf DOI https://doi.org/10.1088/0029-5515/45/3/001
Journal
    • PISSN 0029-5515
    • EISSN 1741-4326
      • en Nuclear Fusion
      • Volume Number45 Issue Number3 Page Start153 Page End162
File
Oaidate 2023-07-26