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Multipole tokamak equilibria

W. Feneberg, K. Lackner1973年被引用 47Nuclear FusionIF 3出版社

Solutions are given for axisymmetric MHD-equilibria obtained by superposing the magnetic field of the plasma currents and the field of current-carrying conductors situated outside the plasma. These equilibria were numerically calculated by several different iteration methods for solving the non-linear free boundary problem. They can describe experiments in which the discharge time is long compared with the diffusion time of the magnetic field through the external conducting walls. Equilibria were obtained both for approximately circular plasma cross-sections and strongly elongated (elliptical) ones. Such calculations are of interest for constructing axisymmetric tokamak divertors, as well as for producing elongated crosssections, which have been postulated to be stable for higher values of plasma pressure. The results presented here are restricted to the case of zero plasma pressure and a particular current distribution in order to reduce the number of free parameters and allow more detailed discussion of the dependence of the equilibrium configurations on the arrangement of the external conductors and the currents.

日本語訳

軸対称MHD平衡に対する解が提示されており、これはプラズマ電流の磁場と、プラズマ外部に配置された電流担体の磁場とを重ね合わせることによって得られる。これらの平衡は、非線形自由境界問題を解くためのいくつかの異なる反復法によって数値計算された。それらは、放電時間が外部導体壁を通る磁場の拡散時間に比べて長い実験を記述することができる。平衡は、ほぼ円形のプラズマ断面と、強く細長い(楕円形の)断面の両方について得られた。このような計算は、軸対称トカマク・ダイバータの構築や、より高いプラズマ圧力値に対して安定であると仮定されている細長い断面の生成に関心が持たれる。ここで提示される結果は、自由パラメータの数を減らし、外部導体の配置と電流に対する平衡構成の依存性をより詳細に議論することを可能にするために、ゼロ・プラズマ圧力と特定の電流分布の場合に限定されている。

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Tokamak equilibria
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