Abstract By using an expansion technique based on the tokamak ordering, the Grad－Shafranov equation is analytically solved for tokamak equilibrium sustained by a full bootstrap current. This approximate approach is suitable for equilibria with non-circular cross-sections of modest ellipse and triangular deformations. As an input parameter set, the plasma pressure profile and the electron and the ion temperature profiles can be selected as arbitrary functions of the averaged minor radius. Equilibrium properties of this plasma are discussed.
Received: 12 July 2002
Revised: 04 March 2003
Published: 16 March 2005
(Tokamaks, spherical tokamaks)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19975015 ) and by the China Nuclear Science Foundation (Grant No Y7100C0301).
Cite this article:
Shi Bing-Ren Analytic description of tokamak equilibrium sustained by high fraction bootstrap current 2003 Chin. Phys. 12 626