Analytical solution of the tokamak equilibrium. II. The free-boundary case

The free-boundary tokamak equilibrium problem is investigated by a surface current equivalence method applied on the plasma boundary. In addition, use is made of a spectral representation for the internal plasma flux surfaces as presented in Paper I [G. O. Ludwig, Phys. Plasma 24, 092502 (2017)]. The surface current distribution is determined by the Cauchy condition imposed by the external equilibrium coils on the plasma boundary. A self-consistent approximate analytic equilibrium is calculated for an up-down asymmetric configuration of the plasma contained by a simplified set of poloidal field coils representing an ITER-like tokamak. Published by AIP Publishing.