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Sawtooth control using beam ions accelerated by fast waves in the DIII-D tokamak
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10.1063/1.2815788
/content/aip/journal/pop/14/11/10.1063/1.2815788
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/11/10.1063/1.2815788
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Experimental time traces from DIII-D discharge #96043 for (a) injected neutral beam and fast wave heating powers, (b) measured central electron temperature from ECE and neutron reaction rate from the neutral particle diagnostic, and (c) plasma density and stored energy.

Image of FIG. 2.
FIG. 2.

(Color online) (a) Trajectory of a single particle, representing a deuterium beam ion with its birth energy of , followed for . The initial location of the particle is marked with a star symbol. (b) The changes in magnetic moment of the beam ion at each encounter as a function of simulation time. (c) The accumulated magnetic moment of the ion vs the relative phase difference between the ion and the fast wave during . The line indicates particle trajectories in phase space for a short time during the initial time sequence, demonstrating the random walk process.

Image of FIG. 3.
FIG. 3.

(Color online) Time traces from DIII-D discharge #96043 for (a) measured central electron temperature from ECE and neutron reaction rate; (b) evaluated from EFIT reconstruction; (c) neutron enhancement factor (the ratio of neutron reaction rate with RF to without RF) and fast wave heating power; (d) the magnetic shear at the surface, , and the location of the surface during the selected first giant sawtooth cycle from , right after the fast wave is turned on, to , right before a giant sawtooth crash.

Image of FIG. 4.
FIG. 4.

(Color online) evaluated using three different calculations from the GATO code, the Martynov numerical fit, and the Bussac analytic formula for the reconstructed equilibria at the six times shown in Fig. 3.

Image of FIG. 5.
FIG. 5.

(Color online) Radial displacements calculated from the GATO code for the toroidal mode (a) for the six reconstructed equilibria as shown in Fig. 3, and (b) for varying and fixed at .

Image of FIG. 6.
FIG. 6.

(Color online) calculated from ORBIT-RF using 30 000 and 200 000 test particles for the equilibrium at .

Image of FIG. 7.
FIG. 7.

(Color online) Uncertainties in expected from roughly uncertainties in and for the same equilibrium as the one used in Fig. 6.

Image of FIG. 8.
FIG. 8.

(Color online) (triangles) evaluated for each of the six equilibria during the sawtooth ramp, with error bars based on the roughly uncertainties in and , as shown. Shown also is the time development of the critical shear at .

Image of FIG. 9.
FIG. 9.

(Color online) Total (curves with symbols) using two different estimates for : (a) and (b) during the first giant sawtooth cycle from DIII-D discharge #96043. The sawtooth crash occurs at .

Image of FIG. 10.
FIG. 10.

(Color online) Sawtooth crash criteria during the first giant sawtooth cycle from DIII-D discharge #96043 evaluated using : (a) the first criterion, (b) the second criterion, and (c) the third criterion. The sawtooth crash occurs at .

Image of FIG. 11.
FIG. 11.

(Color online) Sawtooth crash criteria during the first giant sawtooth cycle from DIII-D discharge #96043, evaluated using : (a) the first criterion, (b) the second criterion, and (c) the third criterion. The sawtooth crash occurs at .

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2007-11-29
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Sawtooth control using beam ions accelerated by fast waves in the DIII-D tokamak
http://aip.metastore.ingenta.com/content/aip/journal/pop/14/11/10.1063/1.2815788
10.1063/1.2815788
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