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Analytical description of poloidally diverted tokamak equilibrium with linear stream functions

机译：具有线性流函数的多态转向托卡马克平衡的解析描述

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摘要

The tokamak plasmas in most of the present experiments and those considered for the future reactors are up-down asymmetric in nature. This asymmetry arises due to external coils and conducting structures which surround the plasma. The analytical description of these equilibria using mathematically simpler methods is useful for the theoretical study of stability and transport. Such a tokamak equilibrium has been constructed analytically for arbitrary aspect ratios. The asymmetric nature arises through the homogeneous part of the exact solution of the Grad-Shafranov equation with a choice of pressure and toroidal function as linear in poloidal flux. These solutions can describe both single-and double-null divertor plasmas with an appropriate choice of plasma boundary. This has been used to construct DIII-D and ITER-like equilibrium and compared with those computed numerically.
机译：目前大多数实验中的托卡马克等离子体以及未来反应堆中考虑的托卡马克等离子体本质上是上下不对称的。由于围绕等离子体的外部线圈和导电结构而导致这种不对称。使用数学上更简单的方法对这些平衡的分析描述对于稳定性和运输的理论研究是有用的。这种托卡马克平衡已通过分析构造成任意纵横比。非对称性质是由Grad-Shafranov方程的精确解的齐次部分引起的，其中选择压力和环形函数为极数通量中的线性。这些解决方案可以通过选择适当的等离子体边界来描述单和双零偏滤器等离子体。这已被用来构建DIII-D和ITER样的平衡，并与数值计算的平衡进行比较。

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