Rm. Mayo et al., ION TEMPERATURE PROFILE DECONVOLUTION AND CORRECTIONS TO CONFINEMENT PARAMETERS IN SPHEROMAKS, Physics of fluids. B, Plasma physics, 5(11), 1993, pp. 4002-4010
The purpose of this work is to determine ion temperature profiles in s
pheromaks [Nucl. Fusion 19, 489 (1979)] for the first time. Knowledge
of the ion temperature profile is necessary in the correct calculation
of plasma confinement parameters. The work herein details the calcula
tion of ion temperature profiles for the Compact Torus Experiment (CTX
) [Nucl. Fusion 28, 1555 (1988)] and S-1 [Phys. Rev. Lett. 46, 188 (19
81)] spheromaks. Data from single chord Doppler ion temperature measur
ements in these devices have been analyzed with the aid of a one-dimen
sional equilibrium charge state transport code. Using electron tempera
ture and density profiles from Thomson scattering, and estimates for t
ransport rates, a most probable position for the emission of line radi
ation can be determined and correlated with the measured Doppler ion t
emperature, thus generating an ion temperature profile. From this ion
temperature profile determination, plasma confinement parameters for t
he small solid flux conserver CTX [Phys. Fluids B 2, 1342 (1990)] sphe
romak can be determined, and confinement parameters for S-1 can be ree
valuated, eliminating the previous confinement calculations assumption
T(i)(r) = T(e)(r). The CTX device has a calculated volume averaged be
ta [beta] ranging from 3% to 8% and a volume averaged energy confineme
nt time [tau(E)] between 14 and 35 musec; while the S-1 spheromak has
[beta] between 15% and 40% and [tau(E)] ranging from 30 to 70 musec.