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1 - Nuclear Sciences and Applications - IAEA

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440<br />

transition<br />

S<br />

2 0.5<br />

0<br />

KIYAMA et al.<br />

I I I . I ,<br />

D 0.5<br />

initial<br />

ranfip-up succeeded.<br />

ramp-up failed ]<br />

. . . i i<br />

1.0<br />

8»<br />

FIG. 2. $p immediately after the transition through q, = 2 (at 150 us after the initiation) versus initial<br />

@p (at 50 us after the initiation). Dots <strong>and</strong> crosses are for the cases of successful <strong>and</strong> failed ramp-up,<br />

respectively.<br />

the plasma state with the specific q profile might be in a minimum energy equilibrium<br />

state of the high & <strong>and</strong> low q tokamak.<br />

3.2. Effect of 13 on the transition from high q to low q<br />

The transition through qf ~ 2 from the high q plasma with high S number (S<br />

~ 10 6 ) can also be attained by slow ramping of the plasma current. The transition<br />

is usually accompanied by a rapid (one or two orders of magnitude shorter than the<br />

tearing mode growth time) <strong>and</strong> violent relaxation process. In this configuration, when<br />

qf = 2, q^ near the axis is about 2, instead of about 1, as in the usual tokamaks. The<br />

transition is sometimes not successful <strong>and</strong> results in plasma current limitation, especially<br />

for excessively elongated <strong>and</strong> inward shifted plasmas. The necessary condition<br />

of initial j3p to achieve the transition to the low q regime is shown in Fig. 2. This<br />

figure shows that /3p must be higher than the critical value before the transition. At<br />

the transition, the high /3 plasma causes an outward shift of the plasma column itself,<br />

which results in the reduction of q^ <strong>and</strong> a deepening of the magnetic well near the<br />

column axis. The initial high @ plasma can supply the energy which may be necessary<br />

to drive the transition.<br />

3.3. Relaxation of density profile<br />

The electron density profile also relaxes to a specific profile. A flat density profile<br />

of a high q plasma relaxes to a peaked profile, <strong>and</strong> a peaked density profile of<br />

a low q plasma relaxes to a flat profile. This occurs in most cases simultaneously with<br />

the q profile relaxation, <strong>and</strong> the profile stays roughly constant during the rest of the<br />

discharge. The profile changes drastically at qf ~ 2, as is shown in Fig. 3. At the<br />

high q to low q transition, the profile changes from peaked to flat, <strong>and</strong> vice versa<br />

at the transition from low q to high q. The volume averaged density of the constant

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