A tokamak equilibrium with arbitrary aspect ratio

A general analytical solution of the Grad-Shafranov equation is presented. It allows the simulation of plasmas with elongation and triangularity, with an independent choice of pressure and plasma current. A numerical computed fit to families of such solutions allows the direct computation of the poloidal flux function {Psi}(R,Z) from a parametric description of the plasma given by aspect ratio A, elongation {kappa}, triangularity {delta}, size (i.e. major radius), plasma beta poloidal {beta}{sub pol}, and plasma current I{sub p}