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In this study, the MHD equilibrium limit of LHD plasmas is studied using a 3DMHD equilibrium calculation code, HINT, which is an initial value solver basedon the relaxation method without the assumption of nested flux surfaces. Forfinite beta equilibria, flux surfaces become stochastic in the peripheralregion. However, though the axis shifts until the conventional limit, theseparatrix to limit the equilibrium does not appear. For high beta equilibria,the force balance starts breaking in the stochastic region. To keep the forcebalance, the pressure gradient in the stochastic region decreases and the fixedprofile is reduced. As the result, the volume averaged beta saturates. The betavalue, where the force balance starts breaking inside the stochastic region, isproposed as an index of equilibrium beta limit in heliotron plasmas.

Theoretical studies of equilibrium beta limit in heliotron plasmas