Abstract: A method is described for reconstructing tokatnak equilibria from measurements of external magnetic signals and also of the total plasma current and average poloidal beta. Calculations are performed to determine circular, non-circular and diverted configurations and to reconstruct different types of current profiles. Also carried out is a numerical study of the effect of measurement errors and arrangement of detectors on the quality of reconstruction.

Key words: ill-posed, MHD equilibrium constraint, linear least-squares, singular value decomposition