* a 1 L V * The submitted manuscript has been authored by a contractor of the US Government under DE-AC5-84R214 contract No Accordingly, the US Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow $hers to do so, for US Government purposes Analysis of D Pellet njection Experiments in the W7-AS Stellarator* J F Lyon and L R Baylor Fusion Energy Division Oak Ridge National Laboratory Oak Ridge, Tennessee, USA and CQ 43-3 J Baldzuhn, S Fiedler, M Hirsch, G Kuhner, and A Weller Max-Planck-nstitutfur Plasmaphysik EURATOM Association 85748 Garching, Germany 7 ckl u3 33 43-3 7 to be presented at the European Physical Society Meeting Berchtesgaden, Germany 9-13 June 1997 Research sponsored in part by the US Department of Energy, under contract number DE-AC5-96R22464 with Lockheed Martin Energy Research Corporation
DSCLAMER This report was prepared as an account of work sponsored by an agency of the United States Government Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof
Analysis of D Pellet njection Experiments in the W7-AS Stellarator J F Lyon and L R Baylor, Oak Ridge National Laboratory, Oak Ridge, TN, 37831 USA J Baldzuhn, S Fiedler, M Hirsch, G Kiihner, and A Weller Max-Planck-nstitut fur Plasmaphysik, EURATOM Association, 85748 Garching, Germany A centrifugal injector was used to inject deuterium pellets (with 3-5 x 119 atoms) at Pellet Path -4 "---; L 17 18 19 2_ 21 22 =6 m / s into currentless, nearly shearless plasmas in the Wendelstein 7-AS (W7-AS) stellarator The D pellet was injected horizontally at a location where the noncircular and nonaxisymmetric plasma cross section is nearly triangular (Fig 1) Visible-light TV pictures usually showed the pellet as a single ablating mass in the plasma, although the pellet occasionally broke in two or splintered into a cloud of small particles Density Evolution Following Pellet njection in W7-AS Major Radius (cm) Figure 2 shows Thomson scattering profiles for the electron density ne and temperature Te immediately before and at times shortly after pellet injection (at 4 ms, 5 ms, 65 ms, 57 ms, 76 ms, and 185 ms) for a neutral-beam-heated plasma Pellet injection leads to a rapid (< 4-ps) rise in ne in the main part of the plasma and to a slow increase in the plasma edge on a longer (~2-ms)timescale Microwave reflectometer measurements of the time delay (which reflects the density gradient) and FR interferometer measurements of the line-average density also indicate that the density rises in <5 ps '4 t N 9-2 -l O Teff 1 [ml Fig 2 Thomson scattering profiles from before pellet injection (highest T,, lowest ne curves) to 185 ms afrer the pellet (second highest T, curve) (Fig 3) and then remains unchanged The same behavior is seen in the soft X-ray intensity profiles in Fig 4 (with 14 ms between curves); this signal is more influenced by density than by temperature because there was no
cling from the wall The increase in ne decreases with distance into the plasma m 24 5 16 -* 8 a Pellet ablation calculations using the stan- -8 E-16 e -24 - dard neutral gas shielding model and the ne(r) and Te(r)profiles before injection indicate that the increment in density should be peaked However, this is not seen in W7-AS on the -st -1 timescale of any of the measurements The change in the ne(r) profile in Fig 2 is not diffusive f it were, then the particle diffusivity would have to increase by a factor of >lo for a relatively short time (e4ps, 12 122 124 time 126 128 13 (s) Fig 3 Time delay and fluctuation level from a microwave reflectometer, MHD oscillations from a Mirnov coil, and line-average density around the time of pellet injection X-ROV lntensitv (Lower Cornera) # 33714 Tlrn () 1,2957 2,29646 3,29785 4 5 6 7 29924 sw63,323,3342 a m~i 9 362 1 so759 11 W98 about the transit time for the pellet through the plasma) There was not a significant loss of injected particles during the fast density change: comparing the number of particles in the pellet with the increase in the number in the plasma after pellet injection indicates that >6% of the pellet is retained in the plasma for times >2 ms This behavior, where the density profile after pellet injection assumes the shape of the preexisting profile without significant loss, is not seen in tokamaks Either the ablation model is not correct and the deposition profile is the same as the initial density profile for different initial densities and field values, or a fast density redistribution occurs in these experiments in W7-AS r (cm) 1 l " ' l " ' l " ' l " ' 1 " ' 1 " ' l --E -2 -io Rodius (cm) 1 - * -135 - -X--14 2 - + --145 --A-15 ----155 +--6 --*--165 Fig 4 Soft X-ray intensity profiles from 65 ms before pellet injection to 84 ms after a pellet filter in front of the soft X-ray diode array Neutral lithium beam measurements of ne at radii r >125 cm (Fig 5) show that the outer density rises slowly after pellet injection (on a 6-ms timescale), presumably due to recy- 125-13 - h 17 +18-19 --ht 26 28 3 32 t (S 34 36 38-2 - -m- -22 zi:$i Fig 5 ncrease in the plasma density in the edge region from 3 ms before to 7 ms after a pellet
Effect of Pellet njection on Energy Confinement and Fluctuations in W7-AS Figure 2 shows a rapid drop in Te after pellet injection because the stored energy W does not change immediately Although the ne(r)profile remains at the new (higher) value for the duration of the discharge following pellet injection, Te(r) gradually returns toward its preinjection value, indicating an increase in the energy confinement time TE This is illustrated in Fig 6 where Wand TE increased by a factor of 27 for a factor of 17 increase in ne From the W7-AS TE scaling expression [l] w = P7Ew7-As = ne5p46,the increase in ne should lead to a factor of ~ 1 increase 3 in the stored energy because P = Pabsorbed is approximately constant at the densities in these experiments The additional factor of 2 improvement in TE is due to an increase in confinement: 7E/q3W7-AS is 7 before the pellet A few-ms quiescent period is sometimes seen in the MHD signals on Mirnov coils following pellet injection when the stored energy starts to increase, as seen in Fig 3 n all cases, the Mirnov loop signal (often associated with degraded confinement) is reduced, and TE/q3W7-AS is > after a pellet LOW density fluctuation levels, followed by a decaying high-frequency burst in several discharges, were seen with the microwave reflectometer after the rapid density rise (Fig 3) These oscillations are correlated with the Mirnov coil signal An example of pellet injection suppressing MHD activity for a longer period with a resultant increase in TE is shown in Fig 7 Without the pellet, the MHD activity and the associated enhanced energy loss persist for a longer time t is thought that the pellet rapidly depletes the fast particle population that drives the instability [2] and 14 afterward n Fig 2, the confinement improvement (135) is less: TE/TEW7-AS was 8 before the pellet and 11 afterward # 32564 NB(MW) 8 1 i -pellet 1 3 4 Time (ms) 2 5 Fig 6 Response of the plasma to pellet injection at t = 3 ms 2 25 d EUdt (TS)p-p 3 35 Time (s) Fig 7 M H D activity that retards transition to a high-p phase (2 top traces) is suppressed by pellet injection ( 2 bottom traces)
The soft X-ray (and MHD loop) signals in Fig 8 show short-duration oscillations (for ~ 3 ps) immediately after pellet injection, followed by slow (65-Hz) oscillations that damp out after a few ms and are in phase across the plasma ( m = ) The phase velocity of the slow oscillations indicates a disturbance propagating outward at 35 d s The initial burst is coincident with the fast change in n, in the bulk of the plasma seen in Fig 2 f the rapid change in ne(r) is due to a fast density relaxation rather than an anomalous particle deposition profile, then this burst may be evidence of an instability that causes the fast radial spreading of the high-p pellet blob The magnetic field has low shear, a relatively weak radial gradient along the pellet path, and & 3 WL_- zoo 7 7o -h -_- 'G,,------,--/-------- A -+%,A /------/------/-b#----- "?-/ 5 -L,' //-\-,/-----------~- 8 BO E a -v,,, -+<-<A 7 z 7o --------,/--,/"-_---~--~ -7A-J - 8 '-',p ----- 6 - --- E-,'-\------------- _' -,/ -' --+ + /------- 42 25 3 24 19 23 8 22-2 21-13 19-33 18-42 17-52 16-61 - 6 -A 2 26 /------------- -k*,-''--------- 1 54 ----v~ /---------15 --7 14-78 ----bl-/ * 7 6o 66 27,/-~------~-2-23 -,- - 79 28 C ' 'u 1 /-' 8 - +L,*-> /--- -,-Ji 7o 29 \,------ A* 1 7 coil ---L jl--,&----c- 2 :-?i-/* ~ / - k/-d- L----- L,------^l--,3,32,34 -- 13-87 12-95 11-13 1-111 9-119 a -127,36 tion of the magnetic field strength are needed to understand these observations The next steps involve use of a one-dimensional transport code to model the evolution of the density profile and experiments with a more versatile gas gun that allows injection with a larger range of pellet masses mproved diagnostics -Thomson scattering triggered by the pellet, fast multichannel ECE and microwave and FR interferometers, a Cotton-Mouton-effect polarimeter, an extensive soft X-ray array that surrounds the plasma poloidally, improved MHD loop arrays - should allow better study of the evolution of n,(r) and the associated transport References [ 13 U Stroth et al, Nucl Fusion 36, 163 (1996) [2] Max-Planck-nstitut fur Plasmaphysik, ZPP Annual Report 1995, p 59 [3] A Weller et al, 17th EPS Con$ on Controlled Fusion and Plasma Heating, Amsterdam, Part,479 (199) *Research sponsored in part by the Office of Fusion Energy Sciences, U S Department of Energy, under contract DE-AC5-96R22464 with Lockheed Martin Energy Research Corp
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