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The Hodge decomposition of shell current on the Keda Torus eXperiment device

Zheng Chen, Hong Li, Adil Yolbarsop, Yuan Zhang, Wentan Yan, Xianhao Rao, Zhen Tao, Shuchen Song, Shunrong Ren, Furen Tian2023年Plasma Physics and Controlled FusionIF 2.2出版社

The Hodge decomposition is a valuable tool for uniquely decomposing total currents on the composite shell into three types: inductive current, halo current, and harmonic current, each with its specific physical meaning. During plasma disruptions, halo currents appear, essential for studying the wall's thermal load and electromagnetic force. Furthermore, understanding halo currents is crucial for improving the existing methodologies by removing their effects on equilibrium reconstructions and instability analyses based on boundary magnetic probe data. On the Keda Torus eXperiment (KTX) device, radial and tangent halo currents can be simultaneously provided to locate the contact region during a minor disruption experimentally. Additionally, experimental results demonstrate that, in addition to the occurrence of halo current during minor disruption events, halo current is already present simultaneously with the generation of inductive current when a resistive wall mode exists. For devices that lack the capability to measure the two-dimensional shell current distribution on the entire shell, we propose a method to estimate inductive and halo currents only using a set of shell currents along the toroidal direction. This technique is demonstrated on the KTX device and provides an overall good approximation of the inductive and halo current distribution.

日本語訳

ホッジ分解は、複合シェル上の全電流を、それぞれ固有の物理的意味を持つ3つの成分、すなわち誘導電流、ハロー電流、および調和電流に一意に分解するための有効なツールである。プラズマ擾乱時にはハロー電流が発生し、これは壁面の熱負荷と電磁力の研究に不可欠である。さらに、ハロー電流の理解は、境界磁気プローブデータに基づく平衡再構成および不安定性解析からその影響を除去するための既存手法を改善する上で極めて重要である。Keda Torus eXperiment(KTX)装置では、径方向および接線方向のハロー電流を同時に計測することができ、小擾乱時の接触領域を特定することが可能である。さらに、実験結果は、抵抗性壁モードの存在時には、誘導電流の発生と同時にハロー電流が既に存在することを示している。シェル全体の2次元電流分布を計測する能力を持たない装置に対しては、トロイダル方向に沿った一連のシェル電流のみを用いて誘導電流とハロー電流を推定する手法を提案する。この手法はKTX装置で実証され、誘導電流およびハロー電流分布の全体的な近似として良好な結果を示している。

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