弱剪切环向转动托卡马克平衡方程研究

Studies on the Tokamak Equilibrium Equation with Weak Shear Toroidal Rotation

为了理解环向转动对于托卡马克等离子体的影响,研究了弱剪切环向转动托卡马克等离子体平衡方程。对于较为典型的等离子体压强和电流分布,可以将弱剪切环向转动平衡方程化为Grad-Shafranov-Helmholtz方程的形式,其中参数a1和α2的值都包含了弱剪切环向转动效应,而a2则与没有环向转动时具有相同的物理意义。它可以形成单磁轴的嵌套磁面位形和多磁轴的电流反向平衡位形。

The tokamak equilibrium equation is studied with weak shear toroidal rotation to understand the effects of the toroidal rotation on the tokamak plasmas.It＇s shown that the equilibrium equation with weak shear toroidal rotation can be reduced to the Grad-Shafranov-Helmholtz equation,where the effects of the weak shear toroidal rotation is included in the values of and,and the physical meaning of is the same as the condition without the toroidal rotation.There are the nested configuration with one magnetic axis and the current reversal equilibrium configuration with many magnetic axis.