Reversed-Field Pinch Large Aspect Ratio Equilibrium

摘要

A large aspect ratio, finite beta solution of the Grad-Shafranov is obtained for the reversed-field pinch. The resulting model exhibits toroidal magnetic-field reversal, while maintaining unidirectional toroidal current density. In the limit of zero beta and infinite aspect ratio, the familiar force-free, Bessel function model is recovered. By suitable re-ordering processes, tokamak results are recovered. The reversed-field pinch and the tokamak results are compared with respect to safety factor, shear, toroidal and poloidal beta, V'' and toroidal magnetic shift. (ERA citation 08:053242)