T. Matsumoto et al., HEXAPOLE FIELD EFFECTS ON CURRENTLESS MHD EQUILIBRIUM AND STABILITY OF L=2 HELIOTRON TORSATRON, Journal of the Physical Society of Japan, 62(11), 1993, pp. 3904-3918
Averaged flux surfaces with respect to the toroidal angle in l=2 helio
tron/torsatrons are deformed in D-shape or inverse D-shape by the hexa
pole field. D-shape deformation of vacuum flux surfaces enhances magne
tic well or reduces magnetic hill in Heliotron-E and Large Helical Dev
ice (LHD) configuration. However, complete elimination of the magnetic
hill region is not obtained by the D-shape deformation without substa
ntial reduction of plasma radius. The inverse D-shape deformation degr
ades MHD stability against ideal interchange modes in the central regi
on of both devices for fairly peaked pressure profiles. In the LHD con
figuration, a broad pressure profile proportional to (1 - psi2)2 degra
des the MHD stability and the hexapole effect is almost irrelevant, wh
ere psi is a poloidal flux function; however, second stability appears
against both the local and non-local interchange modes.