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Approach to Rapid Plasma Shape Diagnostics in Tokamaks

机译：托卡马克快速等离子体形状诊断方法

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A deterministic approach to estimating the plasma boundary shape and location, based only on the signals of small B vector pickup loops in the vicinity of the plasma, is studied. The pickup loops provide information on par. delta B/sub R//par. delta t and B/sub Z//par. delta t, which can be processed to provide data on B/sub R/, B/sub Z/, psi, and psi/par. delta n (normal derivative), thus leading to a Cauchy boundary condition for solving delta *psi = 0 between the loop locations and the plasma boundary flux surface. Numerical equilibria calculated for the Impurity Study Experiment (ISX-B) with different shapes are used to simulate pickup loop signals. Random errors are added to the signals to test the efficacy of two different approaches: global fitting and local fitting. Reasonably accurate results are obtained by the method of global fitting of the boundary values, which is based on the expansion of psi in terms of eigenfunctions of delta *psi = 0 in a toroidal ring coordinate system. This approach is shown to permit a random error of nearly 100% in poloidal B vector field values at the loops and still reproduce the plasma shape and location within a few percent. This method appears to have the potential of rapidly displaying the plasma shape and location. (ERA citation 05:031334)

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