Tokamak equilibria have been derived that are analytic solutions to the Grad–Shafranov equation. This paper, Part 1, describes a wide range of such equilibria including smooth limiter surfaces, double- and single-null divertor surfaces, arbitrary aspect ratio, elongation, triangularity and beta. Part 2 generalizes the analysis to include edge pedestals and toroidal flow.

中文翻译：

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简单、一般、现实、稳健、解析的托卡马克均衡。第 1 部分。限制器和偏滤器托卡马克

托卡马克平衡已被推导出来，它是 Grad-Shafranov 方程的解析解。本文第 1 部分描述了广泛的此类平衡，包括光滑的限制器表面、双零和单零偏滤器表面、任意纵横比、伸长率、三角形和 beta。第 2 部分将分析概括为包括边缘基座和环形流。