Abstract
An axisymmetric reversed-field pinch (RFP) configuration is analyzed by minimizing a potential energy of a plasma, subject to the Woltjer's invariant K and the invariants of both a longitudinal flux Φ and a poloidal flux χ, as well as a reasonable boundary condition of \(\bm{J}=0\) on the wall. An equilibrium equation, \(\bm{J \times B} =\) grad p is also taken as the local constraint. The obtained RFP configuration has the high beta value of 17.7% on the axis and satisfies the Suydam's criterion as well as the ideal MHD and tearing mode stability criterion for the m = 1 mode. In this RFP, the field reversal ratio F and pinch ratio θ are about -1.2 and 2.48 respectively. The components of the magnetic fields, B θ and B z are also given in analytical expressions.
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