W.M. Solomon 1. Presented at the 54th Annual Meeting of the APS Division of Plasma Physics Providence, RI October 29-November 2, 2012

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Impact of Torque and Rotation in High Fusion Performance Plasmas by W.M. Solomon 1 K.H. Burrell 2, R.J. Buttery 2, J.S.deGrassie 2, E.J. Doyle 3, A.M. Garofalo 2, G.L. Jackson 2, T.C. Luce 2, C.C. Petty 2, P.A. Politzer 2, and F. Turco 4 1 Princeton Plasma Physics Laboratory 2 General Atomics 3 University of California, Los Angeles 4 Columbia University Presented at the 54th Annual Meeting of the APS Division of Plasma Physics Providence, RI October 29-November 2, 2012 1

Motivation High performance scenarios are typically characterized by rapid toroidal rotation, often driven by large external torque Due to the rapidly increasing moment of inertia with machine size compared with confinement time, it becomes more difficult to drive significant rotation in ITER and beyond Intrinsic drive on ITER may not be as large as originally projected [Solomon IAEA 2012] Important to quantify impact of rotation on confinement, since the confinement quality (H-factor) directly affects the fusion gain 2

The Confinement Quality of H-mode Plasmas Is Generally Affected by Applied Torque Confinement characterized by IPB98(y,2) H-mode (H98) scaling Includes parametric dependences on I p, B t, P, n, R, e, k H 98 =1 implies confinement is as expected from scaling Data comes from wide variety of H-mode plasmas Standard type I ELMing RMP ELM suppressed ITER baseline (q 95 ~3.1, shape, beta ) Advanced inductive Quiescent H-mode H 98 3

The Confinement Factor Shows Clear Dependence on Toroidal Rotation Significant reduction in scatter when change from engineering to physics quantity H 98 Qualitatively similar plots for different radii Compare/contrast different regimes 4

In Standard H-mode, Confinement Is Impacted by Rotation Mainly at Intermediate Rotation Levels Significant enhancement in confinement as rotation spins up from 0 in co-i p direction H 98 5

In Standard H-mode, Confinement Is Impacted by Rotation Mainly at Intermediate Rotation Levels Significant enhancement in confinement as rotation spins up from 0 in co-i p direction Benefit of rotation shows signs of saturating above >50 km/s H 98 6

Standard H-mode Shows Confinement Is Impacted by Rotation Mostly at Intermediate Rotation Levels Significant enhancement in confinement as rotation spins up from 0 in co-i p direction Benefit of rotation shows signs of saturating above >50 km/s H 98 7

Standard H-mode Shows Confinement Is Impacted by Rotation Mostly at Intermediate Rotation Levels Significant enhancement in rotation as spin up from 0 in co-ip direction Benefit of rotation shows signs of saturating above >50 km/s ITER baseline with q 95 ~3.1 performs similarly to other H-modes 8

Confinement of Advanced Inductive Plasmas Is Affected by Rotation Over a Larger Range than Standard H-mode H 98 increases from approx 1.0 to above 1.5 as rotation increased from balanced NBI to all co-nbi Continued enhancement of confinement with rotation in AI regime may be a property of the flat q-profile Stiffness mitigation by rotation more effective at low magnetic shear [Mantica PRL 2011] 9

Despite Reduced Confinement, High Performance Advanced Inductive Plasmas Obtained at Low Rotation Torque ~1 Nm on DIII-D expected to drive similar rotation as ITER beams b N ~3.1, H 98 ~1, q 95 ~4 sustained for maximum duration of counter NBI Normalized fusion performance, G=b N H 89 /q 95 2 ~ 0.32-0.35 Approaching ITER Q=10 target (G~0.42) 10

QH-mode Shows Surprising Improvement in Confinement at Low Rotation QH-mode plasmas appear to continue the downward trend in confinement versus rotation Interestingly QH-mode confinement appears to be shifted toward the left, giving high confinement at low rotation 11

Edge ExB Shearing Rate Actually Increases At Reduced Rotation and Torque in QH-mode H 98 ~1.0 H 98 ~0.8 12 [Garofalo NF 2011]

Edge ExB Shearing Rate Actually Increases At Reduced Rotation and Torque in QH-mode H 98 ~1.0 ExB shear rate exceeds growth rate at edge of plasma H 98 ~0.8 13 [Garofalo NF 2011]

Edge ExB Shearing Rate Actually Increases At Reduced Rotation and Torque in QH-mode H 98 ~1.0 H 98 ~0.8 ExB shear rate exceeds growth rate at edge of plasma Region extends radially inward at low rotation 14 [Garofalo NF 2011]

Is it Rotation or Rotation Shear That Affects Confinement? Certain anomalies seen when plotting H 98 versus rotation Saturation in confinement improvement at high rotation in H-mode QH-mode with high confinement at low rotation Such features are not observed when plotting against maximum ExB shearing rate may suggest a better controlling variable H 98 15

Summary Confinement quality (as described by H 98 ) is strongly affected by NBI torque and attained rotation in DIII-D discharges Effect is most pronounced and seen over widest range in rotation in advanced inductive plasmas QH-mode shows enhanced confinement at low rotation Associated with increased ExB shear Enhanced confinement appears associated with increased levels of ExB shear 16