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A method for local transport analysis in tokamaks with error calculation

N J Lopes Cardozo, G M D Hogeweij, G Hordosy1989年Plasma Physics and Controlled FusionIF 2.2出版社

A new method for the determination of the heat conductivity profile of a Tokamak plasma from measured profiles of temperature and power deposition is presented. The method makes use of Fourier decomposition of the measured profiles. By developing the profiles around an approximation, the heat conductivity profile is expressed as a cosine series of which the coefficients are linear combinations of the Fourier coefficients of the measured profiles. This formulation allows the calculation of the error propagation, and provides a means to automatically compute the heat conductivity with the optimal balance between the statistical and the systematic error.

日本語訳

トカマクプラズマの熱伝導率分布を、測定された温度分布と加熱分布から決定する新しい方法を提示する。本方法は、測定された分布のフーリエ分解を利用する。分布を近似解の周りで展開することにより、熱伝導率分布は余弦級数として表現され、その係数は測定された分布のフーリエ係数の線形結合となる。この定式化により誤差伝播の計算が可能となり、統計誤差と系統誤差の間で最適なバランスを持つ熱伝導率を自動的に計算する手段が提供される。

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