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Compressibility effects on ideal and resistive ballooning stability in the TJ-II heliac device

R. Sanchez, J.A. Jimenez, L. Garcia, A. Varias1997年被引用 15Nuclear FusionIF 3出版社

The magnetohydrodynamic (MHD) ballooning stability of the TJ-II heliac standard configuration is examined using a criterion derived for three dimensional (3-D) general configurations. From the ideal limit of this criterion, a critical ⟨β⟩ approximately=1.3% is obtained. This critical value is very close to that obtained from the Mercier criterion and is almost unaffected when those terms associated with compressibility are retained. The inclusion of resistivity is shown to have almost no effect on the attainable critical ⟨β⟩ even though unstable modes persist for lower ⟨β⟩ values due to their small growth rate. For parameters relevant to this configuration, the resistive pressure convection limit predicts unstable modes, scaling as γ~m2η for all ⟨β⟩ below the ideal limit, which are shown to disappear when compressibility terms are retained in the calculations. Unstable resistive ballooning modes with γτ A~10-3 are then found for ⟨β⟩ values down to 90% of the ideal critical ⟨β⟩. The growth rate rapidly falls if the pressure gradient is further decreased owing to the stabilizing effect of compressibility for γτA << 1

日本語訳

磁気流体力学(MHD)バルーニング安定性を、三次元(3-D)一般配位に対して導出された規準を用いて、TJ-IIヘリアック標準配位について調べた。この規準の理想極限から、臨界⟨β⟩≈1.3%が得られる。この臨界値は、Mercier規準から得られる値と非常に近く、圧縮性に関連する項を含めてもほとんど影響を受けない。抵抗性を含めても、達成可能な臨界⟨β⟩にはほとんど影響がないが、成長率が小さいため、より低い⟨β⟩値でも不安定モードは持続する。この配位に関連するパラメータに対して、抵抗性圧力駆動型モードの臨界条件は、理想極限以下のすべての⟨β⟩でγ〜m²ηのスケーリングに従う不安定モードを予測するが、これらは計算に圧縮性項を含めると消滅することが示される。γτ_A〜10⁻³の抵抗性バルーニング不安定モードは、理想臨界⟨β⟩の90%までの⟨β⟩値で見られる。γτ_A << 1の場合、圧力勾配をさらに減少させると、圧縮性の安定化効果により成長率は急速に低下する。

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tj-ii高精度(タイトル一致)

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Ballooning modeTJ-II
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