A new class of low aspect ratio toroidal hybrid stellarators is found
using a more general plasma confinement optimization criterion than qu
asisymmetrization. The plasma current profile and shape of the outer m
agnetic flux surface are used as control variables to achieve near con
stancy of the longitudinal invariant J on internal flux surfaces (qua
siomnigeneity), in addition to a number of other desirable physics tar
get properties. A range of compact (small aspect ratio A), low plasma
current devices have been found with significantly improved confinemen
t, both for thermal as well as energetic (collisionless) particle comp
onents. With reasonable increases in magnetic field and geometric size
, such devices can also be scaled to confine 3.5 MeV alpha particle or
bits.