SUPPRESSION OF NEOCLASSICAL TEARING MODES IN THE PRESENCE OF SAWTEETH INSTABILITIES BY RADIALLY LOCALIZED OFF-AXIS
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1 SUPPRESSION OF NEOCLASSICAL TEARING MODES IN THE PRESENCE OF SAWTEETH INSTABILITIES BY RADIALLY LOCALIZED OFF-AXIS ELECTRON CYCLOTRON CURRENT DRIVE IN THE TOKAMAK R.. LA HAYE,. LOHR, T.C. LUCE, C.C. PETTY, R. PRATER, E.. STRAIT, D.P. BRENNAN,.R. FERRON, D.A. HUMPHREYS, L.L. LAO, and M.L. WALKER QWER ORISE
2 BACKGROUND Experiments proposed to stabilize NTMs by radially localized co-eccd to replace the missing bootstrap current C. Hegna and. Callen, Phys. Plasmas 4, 2940 (997) H. Zohm, Phys. Plasmas 4, 3433 (997) ASDEX-Upgrade experiment partially successful (reduction seen in 3/2 mode) H. Zohm, et al., Nucl. Fusion 39, 577 (999) ASDEX-Upgrade experiment achieved complete suppression of 3/2 mode G. Gantenbein, et al., PRL 85, 242 (2000) Sawteeth went away and did not return after the EC pulse T 60U used ECCD to completely stabilize 3/2 NTM A. Isayama, et al., IAEA 2000 Note no sawteeth present
3 CO-ECCD RADIALLY LOCALIZED AT ISLAND CAN REPLACE THE MISSING BOOTSTRAP CURRENT AND COMPLETELY STABILIZE THE NEOCLASSICAL TEARING MODE τ Rr dw dt ( ) [ ( ) ] L q = r + ε /2 β r rw 2 pol L θ p w w 3 8qrδ ec η j ec π 2 w 2, η = η 0 e [5 R/3δ ec ]2 / (+2δ2 ec / w 2 ) j bs m/n = 3/2 β θ = 0.9 r = 3 r = 0.36 m ε /2 = 0.5 L q /L p =.5 w pol /r = 5 δ ec /r = 8 η 0 = 0.4 (no mod) R/δ ec = 0 τ Rr dw dt w (cm) } j ec /j bs NTM amenable to complete suppression because w < 0 for w < ~ w pol ECCD must lie within island or very near rational surface no effect for R ~ > δ ec Also see D. Brennan P3.044
4 0 GHz SYSTEM ON THE TOKAMAK Four 0 GHz gyrotrons are operational at ; up to 2.2 MW injected simultaneously Three Gycom gyrotrons, Katya, Boris and Natasha, with BN windows: 750 kw 2.0 s One CPI gyrotron, Tin Man, with CVD diamond window: 800 kw 2.0 sec Two additional CPI gyrotrons this year, Scarecrow and Lion, with CVD diamond windows: MW 0 s Launchers for six gyrotrons in three pairs with poloidal steering One PPPL design with poloidal and toroidal steering One GA design with radiatively cooled mirrors, oblique injection One GA design with 2.0 s mirrors and fixed perpendicular injection CPI Tin Man 7 Gycom Boris Gycom Natasha 8 CPI Lion (future) CPI Scarecrow (future) 4 6 RADIATION SHIELD PENETRATION TRANSMISSION LINES ~38 to ~9 METERS EFFICIENCY ~ 92% 5 CPI Toto (removed, vented) REMOTE CONTROLLED WAVEGUIDE ISOLATION VALVES FOR EACH LINE VACUUM PUMP (FUTURE WAVEGUIDE) MANUAL WAVEGUIDE ISOLATION VALVES POLARIZER DUMMY LOAD GYCOM FWD/REV Katya POWER MONITOR 3 2 CPI Dorothy (removed, ready) 04-0/rs
5 2 2 3 CONFIGURATION FOR OFF-AXIS ECCD ECH f= GHz facet ang=8.0 deg tilt ang=67. deg (ELMy H mode with sawteeth) Resources: () lower cryopump to improve current drive 2.0 (2) 4 gyrotrons injecting up to 2.3 MW for at least s (3) PPPL & GA steerable launchers ECE Goal: Suppress 3/2 NTM Methods: () Prompt replacing of missing bootstrap current in 0 point of island Optically Thick 3 Optically Thin (2) Slow change of current profile ( more negative)
6 RAISING β N AFTER ECCD SUPPRESSION OF 3/2 NTM 4 gyrotrons, best B T and R surf optimum position β N 20% higher than peak before 3/2 NTM Eventually destabilized by largest q = sawteeth crash/fishbones PBEAMS (MW) ECHPWR (MW) BETAN N = 2 RMS (T) N = RMS (T) Time (ms)
7 THE LOCATION OF ECCD IS CRITICAL TO FULL STABILIZATION 0 9 n = 2 Mirnov (G) R (cm) of 2Ω e j (A/cm 2 ) Time (ms) Saturated Island ρ w 7 cm j ECCD j BS Toroidal field was ramped down to scan ECCD past the island Alignment within 2 cm is required j ECCD > j BS is satisfied (TORAY-GA) Sensitivity of effect to location implies that the width of the ECCD is less than the island size, in agreement with ray tracing calculation These results show that modeling is accurate even in ELMing H mode with sawteeth and a tearing mode, at large ρ
8 WIDTH OF ECCD CAN BE ESTIMATED FROM INITIAL DECAY RATE OF ISLAND WIDTH VERSUS R Before ECCD, γ of Mirnov amplitude IB θ,32 I dlb θ,32 l/dt 0 m/n = 3/2 Mirnov, Initial Decay Rate (s ) Upon ECCD, initially γ o exp [ (5 R/3δ ec ) 2 ], δ ec δ FWHM Z Z Z Z Z R (cm) from Variation of Toroidal Field and thus 2 f ce Location, Shot-to-Shot Z q 95 = 3.2, MW w/r = 7 cm/36 cm q 95 = 4.3, MW w/r = 8 cm/24 cm δ FWHM = 3.8 ± 0.8 cm TORAY GA predicts 2.7 cm δ FWHM = 3.7 ±.0 cm TORAY GA predicts 2.8 cm Toray GA predicts narrower deposition, possible reasons include Each of 2 gyrotrons, absorption not at exactly same location Radial diffusion broadens spot size (R. Harvey) NTM model for rf term in modified Rutherford equation (F. Perkins) 098-0/jy
9 COMPLETE SUPPRESSION OF AN m/n=3/2 NTM BY ECCD IN PRESENCE OF PERIODIC SAWTEETH P BEAM (MW) β N ECHPWR (MW) N= MIRNOV (T) N=2 MIRNOV (T) Initial decay knee in w(w) Time (ms)
10 ECE RADIOMETER CONFIRMS OPTIMUM TUNING IS AT ISLAND.0 ECHPWR (MW) N = 2 Freq. (khz) 8.0 N = 2 Mirnov (T) Time (ms) ECE Amplitude (ev) 0 Cross Phase (deg) ECE Amplitude (ev) Cross Phase (deg) ECE Channel Number ECE Channel Number ECE Channel Number ECE Channel Number khz ampl. null and π phase jump indicate 3/2 island O point between channels 23 and Hz modulation shows peak response between channels 23 and 24
11 2 2 PLASMA CONTROL SYSTEM REAL-TIME FEEDBACK NTM CONTROL VARIES MAOR RADIUS IN RESPONSE TO MODE AMPLITUDE Execute R Blind Search pattern when mode (3/2 island) amplitude exceeds threshold Move plasma major radius (and island) rigidly ( R step = cm) Detect alignment of ECCD current deposition with island ( sweet spot ) by sufficient change in mode amplitude over the specified dwell time (00 ms) If mode decays at > threshold rate, continue to dwell. If not, continue search (or jitter... ) ECH f= GHz facet ang=.0 deg tilt ang=66.0 deg.5 R SURF = 2.3 cm
12 WITH AND WITHOUT PCS REAL-TIME CONTROL OF OPTIMUM RIGID PLASMA POSITION FOR ECCD SUPPRESSION (m/n = 3/2 NTM, ECCD WITH 3 GYROTRONS,.5 MW, 3000 TO 4800 ms, q 95 = 3.6 COUPLED SAWTOOTH CASE) n=2 MIRNOV AMPLITUDE BDOTEVAMPL (T/s) NTM restrikes on a sawtooth crash.680 BDOTEVAMPL vs. RSURF BDOTEVAMPL vs. RSURF No PCS optimization PCS optimization starting from R 2 cm Searching PCS reset at 4500 ms Dwelling Searching RSURF (m) MAOR RADIUS 06-0jy
13 .705 ECCD on at 3000 ms RSURF (m) n=2 Mirnov Amplitude Major Radius Searching Dwelling BDOTEVAMPL 0 smooth (T/s) Searching Decay insufficient on dwell so search again Time (ms)
14 COMPLETE SUPPRESSION OF 3/2 NTM ACHIEVED WITH N= NOT FREQ. COUPLED (BEST BT TUNING) 0.5 PBEAM (MW) βn N=2 (KHZ) 2 N= (KHZ) 0 3 Diff. Rot. Time (ms)
15 DIFFERENT LOWER I p /HIGHER BT/HIGHER q 95 TARGET PLASMA (SAME BEAMS, SAME ECHPWR) N= FREQ. COUPLED TO 3/2 NTM, NO COMPLETE SUPPRESSION (BEST BT TUNING) P BEAM (MW) β N ECHPWR (MW) No Diff. Rot N= (KHz) N=2 (KHz) N=2 MIRNOV (T) N= MIRNOV (T) Time (ms)
16 COMPLETE SUPPRESSION OF M/N = 3/2 NTM BY ECCD IN PRESENCE OF COUPLED q = SAWTEETH (q 95 = 3.6 CASE WITH 3 GYROTRONS INECTING.5 MW) Note sudden decoupling as 3/2 Mirnov amplitude decreases Fishbones then appear 4 PBEAM (MW) ECHPWR (MW) BETAN.6 40 No Diff. Rot N = 2 (KHz) N = 2 MIRNOV (T) N = MIRNOV (T) 2 N = (KHz) Diff. Rot. Begins 3/2 Transients on Sawteeth Crashes
17 ECCD REQUIRED FOR 3/2 NTM SUPPRESSION (BEST ALIGNMENT IN EACH CASE) I eccd from TORAY GA I H at r=r s from n=2 rms Mirnov B θ at wall r=r w I H = ± mi h = 2 B θ r w [ ], k = n/r o µ 0 kr s I m (kr s ) K m (kr w ) 06-0 jy 0.4 I eccd /I H q95 η 0.4, NO MOD. I eccd /I p = 2~4% NO YES YES q= sawteeth coupled? Complete suppression Partial suppression See also A.M. Popov P3.049
18 SUMMARY ECCD suppression of the 3/2 mode is demonstrated for the first time in sawtoothing plasmas Active real-time feedback optimization using position control has been demonstrated Basic features of the theory are consistent with the experimental observations: Stabilization effect only when deposition is within the island EC / BS > from modeling (direct measurements not possible) Modes coupled to sawteeth precursors are more difficult to suppress
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