BPP experiments @ the tokamak GOLEM

Essential parameters:

  • Current resistor $R=$20 $\Omega$
  • Voltage divider: 1:100
  • The shot: 23195
  • The DAS used: Papouch_St
  • $U_{B_t}$=1100
  • Vacuum shot /plasma position issues/:23196

Experimental setup

Ball pen probe @ North-East port


setup

The discharge #23195

Basic diagnostics


Plasma start:6610 us Plasma end:25510 us

The BPP data vs diagnostics


Reference shot data

The BPP raw data


Maxima and minima localization in bpp_voltage


Extrems
minima
maxima

Final movie


Individual figures
.dat format: VAchar_voltage,VAchar_current,VAchar_voltage_smoothed,VAchar_current_smoothed,Azooz fit,dAzoozFit/dVoltage,ClassicFit

i: 0, Time:From:6.85,via:7.10,to:7.35,$B_t$0.08
Azooz fit: $a_1$=+3.907e+00,$a_2$=22.51,$a_3$=+3.143e+01,$a_4$=3.20
Class fit: $I_{sat}$=3.82,$\varphi_{pl}$=-16.84,$T_e$=15.31,$Ratio_{sat}$=16.44,$\varphi_{fl}$=20.79,$\alpha$=2.46
data

i: 1, Time:From:7.35,via:7.60,to:7.86,$B_t$0.10
Azooz fit: $a_1$=+4.947e+00,$a_2$=48.41,$a_3$=+6.086e+01,$a_4$=4.70
Class fit: $I_{sat}$=6.04,$\varphi_{pl}$=-32.91,$T_e$=22.83,$Ratio_{sat}$=30.87,$\varphi_{fl}$=18.43,$\alpha$=2.25
data

i: 2, Time:From:7.86,via:8.11,to:8.35,$B_t$0.12
Azooz fit: $a_1$=+4.767e+00,$a_2$=46.23,$a_3$=+4.575e+01,$a_4$=3.50
Class fit: $I_{sat}$=6.34,$\varphi_{pl}$=-41.77,$T_e$=23.20,$Ratio_{sat}$=34.55,$\varphi_{fl}$=11.49,$\alpha$=2.30
data

i: 3, Time:From:8.35,via:8.61,to:8.86,$B_t$0.14
Azooz fit: $a_1$=+4.941e+00,$a_2$=63.03,$a_3$=+4.200e+01,$a_4$=6.15
Class fit: $I_{sat}$=8.34,$\varphi_{pl}$=-50.41,$T_e$=18.31,$Ratio_{sat}$=23.74,$\varphi_{fl}$=-6.11,$\alpha$=2.42
data

i: 4, Time:From:8.86,via:9.11,to:9.36,$B_t$0.16
Azooz fit: $a_1$=+5.006e+00,$a_2$=72.61,$a_3$=+6.204e+01,$a_4$=8.60
Class fit: $I_{sat}$=9.44,$\varphi_{pl}$=-44.05,$T_e$=21.87,$Ratio_{sat}$=18.33,$\varphi_{fl}$=-4.67,$\alpha$=1.80
data

i: 5, Time:From:9.36,via:9.61,to:9.86,$B_t$0.17
Azooz fit: $a_1$=+5.232e+00,$a_2$=86.18,$a_3$=+6.996e+01,$a_4$=9.96
Class fit: $I_{sat}$=18.33,$\varphi_{pl}$=-56.47,$T_e$=33.31,$Ratio_{sat}$=19.79,$\varphi_{fl}$=-8.32,$\alpha$=1.45
data

i: 6, Time:From:9.86,via:10.11,to:10.36,$B_t$0.19
Azooz fit: $a_1$=+5.058e+00,$a_2$=70.65,$a_3$=+5.392e+01,$a_4$=7.01
Class fit: $I_{sat}$=9.72,$\varphi_{pl}$=-51.33,$T_e$=21.35,$Ratio_{sat}$=23.40,$\varphi_{fl}$=-8.59,$\alpha$=2.00
data

i: 7, Time:From:10.36,via:10.61,to:10.86,$B_t$0.21
Azooz fit: $a_1$=+5.252e+00,$a_2$=80.73,$a_3$=+6.070e+01,$a_4$=10.36
Class fit: $I_{sat}$=11.16,$\varphi_{pl}$=-51.30,$T_e$=19.86,$Ratio_{sat}$=19.41,$\varphi_{fl}$=-8.90,$\alpha$=2.13
data

i: 8, Time:From:10.86,via:11.11,to:11.36,$B_t$0.22
Azooz fit: $a_1$=+5.258e+00,$a_2$=56.49,$a_3$=+4.870e+01,$a_4$=6.39
Class fit: $I_{sat}$=11.33,$\varphi_{pl}$=-45.25,$T_e$=23.41,$Ratio_{sat}$=31.04,$\varphi_{fl}$=-5.32,$\alpha$=1.71
data

i: 9, Time:From:11.36,via:11.61,to:11.86,$B_t$0.00
Azooz fit: $a_1$=+0.000e+00,$a_2$=0.00,$a_3$=+0.000e+00,$a_4$=0.00
Class fit: $I_{sat}$=0.00,$\varphi_{pl}$=0.00,$T_e$=0.00,$Ratio_{sat}$=0.00,$\varphi_{fl}$=0.00,$\alpha$=0.00
data

i:10, Time:From:11.86,via:12.11,to:12.37,$B_t$0.25
Azooz fit: $a_1$=+5.315e+00,$a_2$=52.37,$a_3$=+4.400e+01,$a_4$=7.21
Class fit: $I_{sat}$=13.90,$\varphi_{pl}$=-42.79,$T_e$=22.68,$Ratio_{sat}$=29.18,$\varphi_{fl}$=-5.63,$\alpha$=1.64
data

i:11, Time:From:12.37,via:12.62,to:12.87,$B_t$0.27
Azooz fit: $a_1$=+5.625e+00,$a_2$=39.33,$a_3$=+2.863e+01,$a_4$=5.01
Class fit: $I_{sat}$=9.08,$\varphi_{pl}$=-38.73,$T_e$=13.38,$Ratio_{sat}$=56.31,$\varphi_{fl}$=-5.24,$\alpha$=2.50
data

i:12, Time:From:12.87,via:13.12,to:13.37,$B_t$0.28
Azooz fit: $a_1$=+5.674e+00,$a_2$=51.03,$a_3$=+4.074e+01,$a_4$=4.75
Class fit: $I_{sat}$=9.11,$\varphi_{pl}$=-47.06,$T_e$=17.69,$Ratio_{sat}$=62.29,$\varphi_{fl}$=0.26,$\alpha$=2.68
data

i:13, Time:From:13.37,via:13.62,to:13.87,$B_t$0.29
Azooz fit: $a_1$=+5.029e+00,$a_2$=42.12,$a_3$=+3.538e+01,$a_4$=4.21
Class fit: $I_{sat}$=8.04,$\varphi_{pl}$=-40.29,$T_e$=18.32,$Ratio_{sat}$=37.26,$\varphi_{fl}$=5.37,$\alpha$=2.49
data

i:14, Time:From:13.87,via:14.12,to:14.37,$B_t$0.31
Azooz fit: $a_1$=+5.142e+00,$a_2$=55.62,$a_3$=+5.560e+01,$a_4$=6.25
Class fit: $I_{sat}$=10.16,$\varphi_{pl}$=-41.04,$T_e$=25.23,$Ratio_{sat}$=28.32,$\varphi_{fl}$=6.50,$\alpha$=1.88
data

i:15, Time:From:14.37,via:14.62,to:14.88,$B_t$0.00
Azooz fit: $a_1$=+0.000e+00,$a_2$=0.00,$a_3$=+0.000e+00,$a_4$=0.00
Class fit: $I_{sat}$=0.00,$\varphi_{pl}$=0.00,$T_e$=0.00,$Ratio_{sat}$=0.00,$\varphi_{fl}$=0.00,$\alpha$=0.00
data

i:16, Time:From:14.88,via:15.13,to:15.37,$B_t$0.33
Azooz fit: $a_1$=+6.200e+00,$a_2$=79.82,$a_3$=+8.693e+01,$a_4$=12.10
Class fit: $I_{sat}$=24.24,$\varphi_{pl}$=-48.61,$T_e$=35.20,$Ratio_{sat}$=41.75,$\varphi_{fl}$=4.55,$\alpha$=1.51
data

i:17, Time:From:15.37,via:15.62,to:15.88,$B_t$0.34
Azooz fit: $a_1$=+5.286e+00,$a_2$=39.71,$a_3$=+3.041e+01,$a_4$=8.20
Class fit: $I_{sat}$=16.68,$\varphi_{pl}$=-37.63,$T_e$=21.13,$Ratio_{sat}$=25.08,$\varphi_{fl}$=6.52,$\alpha$=2.09
data

i:18, Time:From:15.88,via:16.13,to:16.38,$B_t$0.35
Azooz fit: $a_1$=+5.462e+00,$a_2$=65.70,$a_3$=+7.819e+01,$a_4$=4.97
Class fit: $I_{sat}$=9.08,$\varphi_{pl}$=-47.85,$T_e$=30.42,$Ratio_{sat}$=48.40,$\varphi_{fl}$=-0.56,$\alpha$=1.55
data

i:19, Time:From:16.38,via:16.63,to:16.88
!!Azooz fit problem! -> No Fits !




data

i:20, Time:From:16.88,via:17.13,to:17.38,$B_t$0.37
Azooz fit: $a_1$=+4.944e+00,$a_2$=50.53,$a_3$=+5.148e+01,$a_4$=3.40
Class fit: $I_{sat}$=3.84,$\varphi_{pl}$=-41.20,$T_e$=17.52,$Ratio_{sat}$=42.18,$\varphi_{fl}$=8.08,$\alpha$=2.81
data

i:21, Time:From:17.38,via:17.63,to:17.88,$B_t$0.38
Azooz fit: $a_1$=+3.967e+00,$a_2$=30.66,$a_3$=+3.278e+01,$a_4$=1.71
Class fit: $I_{sat}$=3.19,$\varphi_{pl}$=-35.72,$T_e$=19.97,$Ratio_{sat}$=31.58,$\varphi_{fl}$=11.39,$\alpha$=2.36
data

i:22, Time:From:17.88,via:18.13,to:18.38,$B_t$0.39
Azooz fit: $a_1$=+3.978e+00,$a_2$=41.62,$a_3$=+5.818e+01,$a_4$=2.11
Class fit: $I_{sat}$=2.39,$\varphi_{pl}$=-33.24,$T_e$=21.94,$Ratio_{sat}$=26.11,$\varphi_{fl}$=9.53,$\alpha$=1.95
data

i:23, Time:From:18.38,via:18.63,to:18.88,$B_t$0.39
Azooz fit: $a_1$=+3.372e+00,$a_2$=24.42,$a_3$=+3.455e+01,$a_4$=1.32
Class fit: $I_{sat}$=1.59,$\varphi_{pl}$=-26.16,$T_e$=16.71,$Ratio_{sat}$=22.43,$\varphi_{fl}$=10.06,$\alpha$=2.17
data

i:24, Time:From:18.88,via:19.13,to:19.38,$B_t$0.40
Azooz fit: $a_1$=+3.289e+00,$a_2$=20.99,$a_3$=+3.196e+01,$a_4$=1.11
Class fit: $I_{sat}$=1.15,$\varphi_{pl}$=-22.02,$T_e$=12.88,$Ratio_{sat}$=24.31,$\varphi_{fl}$=5.16,$\alpha$=2.11
data

i:25, Time:From:19.38,via:19.63,to:19.89,$B_t$0.41
Azooz fit: $a_1$=+2.551e+00,$a_2$=24.72,$a_3$=+3.293e+01,$a_4$=0.95
Class fit: $I_{sat}$=0.81,$\varphi_{pl}$=-23.70,$T_e$=12.54,$Ratio_{sat}$=13.42,$\varphi_{fl}$=3.74,$\alpha$=2.19
data

i:26, Time:From:19.89,via:20.14,to:20.39,$B_t$0.41
Azooz fit: $a_1$=+2.579e+00,$a_2$=22.27,$a_3$=+4.077e+01,$a_4$=0.95
Class fit: $I_{sat}$=0.86,$\varphi_{pl}$=-22.81,$T_e$=17.19,$Ratio_{sat}$=13.74,$\varphi_{fl}$=1.99,$\alpha$=1.44
data

i:27, Time:From:20.39,via:20.64,to:20.89,$B_t$0.42
Azooz fit: $a_1$=+3.019e+00,$a_2$=5.02,$a_3$=+2.271e+01,$a_4$=0.56
Class fit: $I_{sat}$=0.73,$\varphi_{pl}$=-15.87,$T_e$=12.04,$Ratio_{sat}$=34.30,$\varphi_{fl}$=4.58,$\alpha$=1.70
data

i:28, Time:From:20.89,via:21.14,to:21.39,$B_t$0.42
Azooz fit: $a_1$=+2.735e+00,$a_2$=21.62,$a_3$=+3.678e+01,$a_4$=0.99
Class fit: $I_{sat}$=0.80,$\varphi_{pl}$=-18.55,$T_e$=12.15,$Ratio_{sat}$=15.59,$\varphi_{fl}$=2.95,$\alpha$=1.77
data

i:29, Time:From:21.39,via:21.64,to:21.89,$B_t$0.42
Azooz fit: $a_1$=+3.002e+00,$a_2$=35.31,$a_3$=+1.174e+02,$a_4$=1.02
Class fit: $I_{sat}$=1.65,$\varphi_{pl}$=-39.65,$T_e$=63.04,$Ratio_{sat}$=19.71,$\varphi_{fl}$=-0.50,$\alpha$=0.62
data

i:30, Time:From:21.89,via:22.14,to:22.39,$B_t$0.43
Azooz fit: $a_1$=+2.335e+00,$a_2$=9.28,$a_3$=+1.564e+01,$a_4$=0.57
Class fit: $I_{sat}$=0.65,$\varphi_{pl}$=-19.79,$T_e$=11.39,$Ratio_{sat}$=16.26,$\varphi_{fl}$=0.31,$\alpha$=1.76
data

i:31, Time:From:22.39,via:22.64,to:22.89,$B_t$0.43
Azooz fit: $a_1$=+1.296e+00,$a_2$=10.23,$a_3$=+3.164e+01,$a_4$=0.60
Class fit: $I_{sat}$=0.34,$\varphi_{pl}$=-23.51,$T_e$=18.65,$Ratio_{sat}$=4.86,$\varphi_{fl}$=-0.06,$\alpha$=1.26
data

i:32, Time:From:22.89,via:23.14,to:23.39,$B_t$0.43
Azooz fit: $a_1$=+1.281e+00,$a_2$=8.26,$a_3$=+4.067e+01,$a_4$=0.78
Class fit: $I_{sat}$=0.46,$\varphi_{pl}$=-13.11,$T_e$=19.21,$Ratio_{sat}$=4.15,$\varphi_{fl}$=-0.25,$\alpha$=0.67
data

i:33, Time:From:23.39,via:23.64,to:23.89,$B_t$0.43
Azooz fit: $a_1$=+1.594e+00,$a_2$=9.90,$a_3$=+3.863e+01,$a_4$=0.68
Class fit: $I_{sat}$=0.42,$\varphi_{pl}$=-15.23,$T_e$=16.29,$Ratio_{sat}$=6.32,$\varphi_{fl}$=1.16,$\alpha$=1.01
data

i:34, Time:From:23.89,via:24.14,to:24.40,$B_t$0.43
Azooz fit: $a_1$=+2.092e+00,$a_2$=5.35,$a_3$=+4.995e+01,$a_4$=0.83
Class fit: $I_{sat}$=0.75,$\varphi_{pl}$=-10.59,$T_e$=24.74,$Ratio_{sat}$=9.36,$\varphi_{fl}$=1.98,$\alpha$=0.51
data

i:35, Time:From:24.40,via:24.65,to:24.90,$B_t$0.43
Azooz fit: $a_1$=+1.244e+00,$a_2$=9.14,$a_3$=+1.029e+01,$a_4$=0.72
Class fit: $I_{sat}$=0.56,$\varphi_{pl}$=-17.77,$T_e$=16.01,$Ratio_{sat}$=4.15,$\varphi_{fl}$=2.01,$\alpha$=1.24
data

$i$Time$B_t$ Azooz fit parameters
$I(a,V_{bias})=\exp[a_1 \tanh\{(V_{bias}+a_2)/a_3\}]+a_4$		 InflexPoint Classical fit parameters
$I(V_{bias},I_{sat},V_{fl},T_e)=-I_{sat}*(1-\exp((V_{bias}-V_{fl})/T_e)$		 $Ratio_{sat}$$\varphi_{fl}$$\alpha$$Pl_{pos}$ [mm]
StartMiddleEnd $a_1$$a_2$$a_3$$a_4$ Data rowData rowVoltage $I_{sat}$$\varphi_{pl}$$T_e$
0 6.85 7.10 7.35 0.08 3.91 22.51 31.43 3.20 601 196 10.07 3.82 -16.84 15.31 16.44 20.79 2.46 -10.41
1 7.35 7.60 7.86 0.10 4.95 48.41 60.86 4.70 670 334 21.67 6.04 -32.91 22.83 30.87 18.43 2.25 -3.03
2 7.86 8.11 8.35 0.12 4.77 46.23 45.75 3.50 574 205 5.53 6.34 -41.77 23.20 34.55 11.49 2.30 -4.56
3 8.35 8.61 8.86 0.14 4.94 63.03 42.00 6.15 454 244 -14.65 8.34 -50.41 18.31 23.74 -6.11 2.42 -4.58
4 8.86 9.11 9.36 0.16 5.01 72.61 62.04 8.60 536 222 -0.86 9.44 -44.05 21.87 18.33 -4.67 1.80 -3.35
5 9.36 9.61 9.86 0.17 5.23 86.18 69.96 9.96 519 271 -3.72 18.33 -56.47 33.31 19.79 -8.32 1.45 -2.73
6 9.86 10.11 10.36 0.19 5.06 70.65 53.92 7.01 494 240 -7.92 9.72 -51.33 21.35 23.40 -8.59 2.00 -1.14
7 10.36 10.61 10.86 0.21 5.25 80.73 60.70 10.36 487 257 -9.10 11.16 -51.30 19.86 19.41 -8.90 2.13 1.89
8 10.86 11.11 11.36 0.22 5.26 56.49 48.70 6.39 547 218 0.99 11.33 -45.25 23.41 31.04 -5.32 1.71 4.24
9 11.36 11.61 11.86 0.00 0.00 0.00 0.00 0.00 0 0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
10 11.86 12.11 12.37 0.25 5.31 52.37 44.00 7.21 540 220 -0.19 13.90 -42.79 22.68 29.18 -5.63 1.64 5.63
11 12.37 12.62 12.87 0.27 5.63 39.33 28.63 5.01 514 275 -4.56 9.08 -38.73 13.38 56.31 -5.24 2.50 9.34
12 12.87 13.12 13.37 0.28 5.67 51.03 40.74 4.75 533 217 -1.37 9.11 -47.06 17.69 62.29 0.26 2.68 13.90
13 13.37 13.62 13.87 0.29 5.03 42.12 35.38 4.21 535 278 -1.03 8.04 -40.29 18.32 37.26 5.37 2.49 14.98
14 13.87 14.12 14.37 0.31 5.14 55.62 55.60 6.25 597 199 9.40 10.16 -41.04 25.23 28.32 6.50 1.88 15.72
15 14.37 14.62 14.88 0.00 0.00 0.00 0.00 0.00 0 0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
16 14.88 15.13 15.37 0.33 6.20 79.82 86.93 12.10 719 128 29.91 24.24 -48.61 35.20 41.75 4.55 1.51 18.78
17 15.37 15.62 15.88 0.34 5.29 39.71 30.41 8.20 519 273 -3.72 16.68 -37.63 21.13 25.08 6.52 2.09 19.32
18 15.88 16.13 16.38 0.35 5.46 65.70 78.19 4.97 708 151 28.06 9.08 -47.85 30.42 48.40 -0.56 1.55 20.50
19 16.38 16.63 16.88 0.00 0.00 0.00 0.00 0.00 0 0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
20 16.88 17.13 17.38 0.37 4.94 50.53 51.48 3.40 593 201 8.72 3.84 -41.20 17.52 42.18 8.08 2.81 22.96
21 17.38 17.63 17.88 0.38 3.97 30.66 32.78 1.71 562 286 3.51 3.19 -35.72 19.97 31.58 11.39 2.36 24.22
22 17.88 18.13 18.38 0.39 3.98 41.62 58.18 2.11 655 177 19.15 2.39 -33.24 21.94 26.11 9.53 1.95 25.28
23 18.38 18.63 18.88 0.39 3.37 24.42 34.55 1.32 594 300 8.89 1.59 -26.16 16.71 22.43 10.06 2.17 26.29
24 18.88 19.13 19.38 0.40 3.29 20.99 31.96 1.11 597 200 9.40 1.15 -22.02 12.88 24.31 5.16 2.11 27.75
25 19.38 19.63 19.89 0.41 2.55 24.72 32.93 0.95 557 284 2.67 0.81 -23.70 12.54 13.42 3.74 2.19 29.72
26 19.89 20.14 20.39 0.41 2.58 22.27 40.77 0.95 612 191 11.92 0.86 -22.81 17.19 13.74 1.99 1.44 31.73
27 20.39 20.64 20.89 0.42 3.02 5.02 22.71 0.56 634 316 15.62 0.73 -15.87 12.04 34.30 4.58 1.70 33.65
28 20.89 21.14 21.39 0.42 2.73 21.62 36.78 0.99 602 196 10.24 0.80 -18.55 12.15 15.59 2.95 1.77 35.36
29 21.39 21.64 21.89 0.42 3.00 35.31 117.43 1.02 966 464 71.45 1.65 -39.65 63.04 19.71 -0.50 0.62 38.10
30 21.89 22.14 22.39 0.43 2.34 9.28 15.64 0.57 560 215 3.17 0.65 -19.79 11.39 16.26 0.31 1.76 41.48
31 22.39 22.64 22.89 0.43 1.30 10.23 31.64 0.60 581 292 6.71 0.34 -23.51 18.65 4.86 -0.06 1.26 43.66
32 22.89 23.14 23.39 0.43 1.28 8.26 40.67 0.78 621 188 13.43 0.46 -13.11 19.21 4.15 -0.25 0.67 47.13
33 23.39 23.64 23.89 0.43 1.59 9.90 38.63 0.68 625 312 14.11 0.42 -15.23 16.29 6.32 1.16 1.01 49.84
34 23.89 24.14 24.40 0.43 2.09 5.35 49.95 0.83 730 143 31.76 0.75 -10.59 24.74 9.36 1.98 0.51 50.00
35 24.40 24.65 24.90 0.43 1.24 9.14 10.29 0.72 519 263 -3.72 0.56 -17.77 16.01 4.15 2.01 1.24 50.00

data
Fitparametersgeneration&

Experimental Photo

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References