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JE 2.3 : X2 breakdown assist in presence of E tor. Toroidal dynamics is expected to be important for breakdown process, especially if ionization avalanche is governed by time constants of the order L / v(20eV) 6x10 2 m / 2x10 6 m/s 0.3 ms.
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JE 2.3 : X2 breakdown assist in presence of Etor Toroidal dynamics is expected to be important for breakdown process, especially if ionization avalanche is governed by time constants of the order L / v(20eV) 6x102 m / 2x106 m/s 0.3 ms. [ Remember: nH/n0 = 1013 ... 1019 = e30 ...e44, BD 40 all observations refer to the last 3 ] Time constants using X2 pre-ionisation are of this order. Task: check ECRH-X2-assist applying Etor prior to PECRH This is the planned ITER-scenario at half-field Status: Experiments at TJ-II (reported by E. Ascassibar in April) Experiments on AUG
Reminder : TJ-II Results A. Cappa, E. Ascasíbar, F. Castejón, J. Romero, A. López-Fraguas and the TJ-II team last meeting
Breakdown time depends on electric field for perp. injection
ASDEX Upgrade Results J. Schweinzer, A.C.C. Sips, O. Gruber, J. Hobirk, J. Stober
ITER relevant breakdown studies at AUG (BD at low Etor, no OH switch, ECRH assisted) • In ITER Uloop rises slowly before ECRH provides the „spark“ for Ip buildup • AUG 2008/9: ECRH makes pre-ionization and then Uloop rise starts • This AUG campaign: produce Uloop before ECRH is switched on • Attempts with ECRH-2 did not succeed – ECRH heats up gas pressure gauge -> prefill controll fails • one repeat of 2009 result #26786 • First attempt with low Uloop > 0 before TS06 #26803 • First attempt with high Uloop > 0 before TS06 #26844 (no BD) • Bv adjustment to produce magnetic null #26845 • Repeat of #26845 with late ECRH #27020
ITER-like BD: Ulooppriorto PECRH Ip ne PECRH nmain H Uloop
ITER-like BD: Ulooppriorto PECRH Bvadjusted Uloop Ip
ITER-like BD: Uloop prior to PECRH – late ECRH Bvnot optimized Bvadjusted
So Uloop is irrelevant for breakdown with ECRH? A step back: ECRH without Uloop : G. Jackson et al., NF, 2007 X1 X2 Final energy depends on initial energy and harmonic Acceleration < 1 s,
Does Etor influence the collisionless heating of single electrons ? How fast is an electron at rest drawn away from the ECRH beam ( < 0.3 m) by an electrical field of E = 0.3 V/m ? t = sqrt(2 s / a) = sqrt[ 0.6 m / (E e/m)] sqrt(10-11) s 3s A toroidal field of 0.3 V/m may not influence the collisionless heating significantly. [Although not orders of magnitude off]
Electron multiplication dn/dt = ECRH-term + n vd ( TS - 1/L)] TS = c1p0 exp(-c2p0/E) Assume a flux tube crossing an ECRH beam at the resonance A : Area, A*L : Volume, n*vd*A : Flux of ‘slow‘ electrons N : Number of re-usable ‘slow‘ electrons generated by each ECRH accelerated ‘fast‘ electron #EC : Number of ECRH beams through the flux tube dn/dt = n vd ( #EC N /L + TS – 1/L) N 0...100 depends on PECRH, X1/X2, p0, L, Etor ?? #EC 1...50 depends on #Gyrotrons and field null Significant differences to Stellarators
Electron multiplication : independent from Uloop ? if #EC N /L >> TS , 1/L and N independent from Etor crucial point ‘re-usability‘ of generated ‘slow‘ electrons. re-usable means : electrons must be transported against Etor during ionisation process. This may be possible if energy after ECRH-accelleration >> 20 eV. These fast electrons cause several ionisations. During each ionisation process 2 e- with random velocity vectors are emitted, most of them with vtor > 10eV, sufficient for several toroidal turns against the electrical force.
Hypothesis X2-ECRH generated electron density builds up in a flux tube through resonance and beams on the length of several (or a few ten) toroidal turns. The toroidal Voltage drop along this region of the flux tube must be significantly smaller than the initial energy of the EC-accelerated electrons, if the breakdown time is independent from the loop voltage. The required electron energies in the range of 50 to 100 eV are still compatible with X2 heating if ECRH power is large enough. Note: #EC may strongly depend on field null and has a direct influence on BD
Conclusion The experimental results show that there is no general problem using X2-breakdown assist when Uloop is already applied. The speculations on the reasons on the previous slides would need support by additional experiments closer to the threshold. Since this is not urgently motivated by ITER, there is no strong support for such experiments in AUG. The results of AUG shall be published in an AUG-paper by Joe Schweinzer. JE 2.3 could be closed unless a machine volunteers to continue. In case of a closure, I would write an internal summary.
Next steps on AUG AUG microwave diagnostics are disturbed by the injection of ECRH in the empty vessel. In the next campaign an attempt shall be made to obtain ohmic breakdown without OH-switch, including sustainment by ECRH. In such a scheme ECRH stray radiation should not exceed crucial levels. Such a scenario would be routinely used to get a better control on the current profile evolution and early divertor transitions. The latter would allow additional heating already at lower Ip.