Abstract:

Based on the energy principle of B Bernstein, steady analytical results of plasma for arbitrary aspect ratio and arbitrary elongation ratio of non-circular toroidal plasma surrounded by wall, without any approximate methods, are evaluated by introducing cap-cyclide coordinates and applying Wangerin function. Further more, the influence of wall on the stability of non-circular toroidal plasma is analyzed and discussed using the relationship between β and a safety factor q.

Key words: Cap-cyclide coordinates, Conductor wall, Non-circular toroidal plasma, Elongation ratio, Aspect ratio

摘要：

通过引入Cap-cyclide坐标和使用Wangerin函数，基于B Bernstein的能量原理，针对位于导体壁中的任意环径比和任意拉长比的非圆截面等离子体，不使用任何近似的方法，求得了等离子体的稳定解析解。进而利用计算机对解析结果进行数值计算，并通过β和稳定系数q的关系，分析和讨论了导体壁对非圆截面等离子体稳定性的影响。

关键词: Cap-cyclide坐标, 导体壁, 非圆截面等离子体, 拉长比, 环径比