BPP experiments @ the tokamak GOLEM

Essential parameters:

  • Current resistor $R=$20 $\Omega$
  • Voltage divider: 1:100
  • The shot: 23193
  • The DAS used: Papouch_St
  • $U_{B_t}$=1200
  • Vacuum shot /plasma position issues/:23194

Experimental setup

Ball pen probe @ North-East port


setup

The discharge #23193

Basic diagnostics


Plasma start:6490 us Plasma end:26350 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:6.97,via:7.22,to:7.47,$B_t$0.10
Azooz fit: $a_1$=+4.194e+00,$a_2$=23.27,$a_3$=+3.089e+01,$a_4$=3.90
Class fit: $I_{sat}$=4.55,$\varphi_{pl}$=-16.42,$T_e$=14.23,$Ratio_{sat}$=17.93,$\varphi_{fl}$=20.25,$\alpha$=2.58
data

i: 1, Time:From:7.47,via:7.72,to:7.97,$B_t$0.12
Azooz fit: $a_1$=+5.084e+00,$a_2$=43.53,$a_3$=+5.168e+01,$a_4$=4.17
Class fit: $I_{sat}$=5.89,$\varphi_{pl}$=-34.63,$T_e$=20.33,$Ratio_{sat}$=39.69,$\varphi_{fl}$=17.02,$\alpha$=2.54
data

i: 2, Time:From:7.97,via:8.22,to:8.47,$B_t$0.14
Azooz fit: $a_1$=+5.038e+00,$a_2$=71.39,$a_3$=+5.732e+01,$a_4$=6.18
Class fit: $I_{sat}$=9.39,$\varphi_{pl}$=-53.08,$T_e$=23.48,$Ratio_{sat}$=25.94,$\varphi_{fl}$=2.45,$\alpha$=2.36
data

i: 3, Time:From:8.47,via:8.72,to:8.97,$B_t$0.16
Azooz fit: $a_1$=+5.089e+00,$a_2$=58.55,$a_3$=+4.924e+01,$a_4$=6.60
Class fit: $I_{sat}$=8.76,$\varphi_{pl}$=-43.08,$T_e$=19.51,$Ratio_{sat}$=25.57,$\varphi_{fl}$=-3.36,$\alpha$=2.04
data

i: 4, Time:From:8.97,via:9.22,to:9.47,$B_t$0.18
Azooz fit: $a_1$=+5.075e+00,$a_2$=59.82,$a_3$=+4.462e+01,$a_4$=6.79
Class fit: $I_{sat}$=11.80,$\varphi_{pl}$=-48.07,$T_e$=22.57,$Ratio_{sat}$=24.53,$\varphi_{fl}$=-5.42,$\alpha$=1.89
data

i: 5, Time:From:9.47,via:9.72,to:9.98,$B_t$0.19
Azooz fit: $a_1$=+5.224e+00,$a_2$=69.57,$a_3$=+5.558e+01,$a_4$=8.76
Class fit: $I_{sat}$=15.89,$\varphi_{pl}$=-50.41,$T_e$=28.43,$Ratio_{sat}$=22.19,$\varphi_{fl}$=-6.22,$\alpha$=1.55
data

i: 6, Time:From:9.98,via:10.23,to:10.48,$B_t$0.21
Azooz fit: $a_1$=+5.003e+00,$a_2$=53.70,$a_3$=+2.836e+01,$a_4$=8.35
Class fit: $I_{sat}$=10.66,$\varphi_{pl}$=-44.32,$T_e$=13.16,$Ratio_{sat}$=18.81,$\varphi_{fl}$=-10.87,$\alpha$=2.54
data

i: 7, Time:From:10.48,via:10.73,to:10.98,$B_t$0.23
Azooz fit: $a_1$=+5.496e+00,$a_2$=61.59,$a_3$=+4.997e+01,$a_4$=7.49
Class fit: $I_{sat}$=13.44,$\varphi_{pl}$=-48.44,$T_e$=22.43,$Ratio_{sat}$=33.52,$\varphi_{fl}$=-7.12,$\alpha$=1.84
data

i: 8, Time:From:10.98,via:11.23,to:11.48,$B_t$0.25
Azooz fit: $a_1$=+5.461e+00,$a_2$=65.02,$a_3$=+4.949e+01,$a_4$=12.34
Class fit: $I_{sat}$=18.72,$\varphi_{pl}$=-44.84,$T_e$=22.51,$Ratio_{sat}$=20.07,$\varphi_{fl}$=-6.95,$\alpha$=1.68
data

i: 9, Time:From:11.48,via:11.73,to:11.98,$B_t$0.26
Azooz fit: $a_1$=+5.028e+00,$a_2$=75.81,$a_3$=+6.222e+01,$a_4$=11.87
Class fit: $I_{sat}$=14.84,$\varphi_{pl}$=-42.91,$T_e$=25.22,$Ratio_{sat}$=13.85,$\varphi_{fl}$=0.10,$\alpha$=1.71
data

i:10, Time:From:11.98,via:12.23,to:12.48,$B_t$0.28
Azooz fit: $a_1$=+5.180e+00,$a_2$=36.15,$a_3$=+2.456e+01,$a_4$=4.40
Class fit: $I_{sat}$=11.09,$\varphi_{pl}$=-40.40,$T_e$=17.16,$Ratio_{sat}$=41.34,$\varphi_{fl}$=-3.72,$\alpha$=2.14
data

i:11, Time:From:12.48,via:12.73,to:12.98,$B_t$0.30
Azooz fit: $a_1$=+5.190e+00,$a_2$=67.77,$a_3$=+5.383e+01,$a_4$=8.33
Class fit: $I_{sat}$=12.35,$\varphi_{pl}$=-48.04,$T_e$=22.87,$Ratio_{sat}$=22.54,$\varphi_{fl}$=1.77,$\alpha$=2.18
data

i:12, Time:From:12.98,via:13.23,to:13.49,$B_t$0.31
Azooz fit: $a_1$=+5.143e+00,$a_2$=49.31,$a_3$=+3.260e+01,$a_4$=7.67
Class fit: $I_{sat}$=11.88,$\varphi_{pl}$=-41.83,$T_e$=16.90,$Ratio_{sat}$=23.29,$\varphi_{fl}$=0.42,$\alpha$=2.50
data

i:13, Time:From:13.49,via:13.74,to:13.99,$B_t$0.32
Azooz fit: $a_1$=+5.336e+00,$a_2$=55.73,$a_3$=+4.275e+01,$a_4$=8.92
Class fit: $I_{sat}$=21.05,$\varphi_{pl}$=-46.41,$T_e$=28.63,$Ratio_{sat}$=24.26,$\varphi_{fl}$=2.52,$\alpha$=1.71
data

i:14, Time:From:13.99,via:14.24,to:14.49,$B_t$0.34
Azooz fit: $a_1$=+5.207e+00,$a_2$=73.46,$a_3$=+6.426e+01,$a_4$=8.82
Class fit: $I_{sat}$=12.24,$\varphi_{pl}$=-47.41,$T_e$=25.26,$Ratio_{sat}$=21.69,$\varphi_{fl}$=6.60,$\alpha$=2.14
data

i:15, Time:From:14.49,via:14.74,to:14.99,$B_t$0.35
Azooz fit: $a_1$=+5.236e+00,$a_2$=35.53,$a_3$=+4.135e+01,$a_4$=5.47
Class fit: $I_{sat}$=8.31,$\varphi_{pl}$=-29.24,$T_e$=19.00,$Ratio_{sat}$=35.32,$\varphi_{fl}$=7.13,$\alpha$=1.91
data

i:16, Time:From:14.99,via:15.24,to:15.49,$B_t$0.36
Azooz fit: $a_1$=+5.334e+00,$a_2$=52.49,$a_3$=+5.391e+01,$a_4$=5.45
Class fit: $I_{sat}$=7.29,$\varphi_{pl}$=-39.62,$T_e$=19.98,$Ratio_{sat}$=39.04,$\varphi_{fl}$=5.94,$\alpha$=2.28
data

i:17, Time:From:15.49,via:15.74,to:15.99
!!Azooz fit problem! -> No Fits !




data

i:18, Time:From:15.99,via:16.24,to:16.49,$B_t$0.39
Azooz fit: $a_1$=+5.614e+00,$a_2$=51.12,$a_3$=+6.759e+01,$a_4$=3.96
Class fit: $I_{sat}$=8.87,$\varphi_{pl}$=-43.11,$T_e$=28.30,$Ratio_{sat}$=70.20,$\varphi_{fl}$=2.16,$\alpha$=1.60
data

i:19, Time:From:16.49,via:16.75,to:17.00,$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:20, Time:From:17.00,via:17.25,to:17.50,$B_t$0.41
Azooz fit: $a_1$=+4.897e+00,$a_2$=87.33,$a_3$=+6.922e+01,$a_4$=15.45
Class fit: $I_{sat}$=18.45,$\varphi_{pl}$=-42.43,$T_e$=28.93,$Ratio_{sat}$=9.66,$\varphi_{fl}$=5.90,$\alpha$=1.67
data

i:21, Time:From:17.50,via:17.75,to:18.00,$B_t$0.42
Azooz fit: $a_1$=+6.024e+00,$a_2$=45.64,$a_3$=+5.762e+01,$a_4$=9.64
Class fit: $I_{sat}$=17.57,$\varphi_{pl}$=-32.23,$T_e$=25.66,$Ratio_{sat}$=43.88,$\varphi_{fl}$=11.88,$\alpha$=1.72
data

i:22, Time:From:18.00,via:18.25,to:18.50,$B_t$0.42
Azooz fit: $a_1$=+6.173e+00,$a_2$=71.70,$a_3$=+9.360e+01,$a_4$=7.94
Class fit: $I_{sat}$=19.59,$\varphi_{pl}$=-46.91,$T_e$=38.53,$Ratio_{sat}$=61.39,$\varphi_{fl}$=13.67,$\alpha$=1.57
data

i:23, Time:From:18.50,via:18.75,to:19.00,$B_t$0.43
Azooz fit: $a_1$=+4.122e+00,$a_2$=23.15,$a_3$=+2.307e+01,$a_4$=2.71
Class fit: $I_{sat}$=3.75,$\varphi_{pl}$=-24.56,$T_e$=13.44,$Ratio_{sat}$=23.61,$\varphi_{fl}$=13.87,$\alpha$=2.86
data

i:24, Time:From:19.00,via:19.25,to:19.50,$B_t$0.44
Azooz fit: $a_1$=+4.043e+00,$a_2$=29.50,$a_3$=+4.633e+01,$a_4$=3.08
Class fit: $I_{sat}$=3.69,$\varphi_{pl}$=-19.96,$T_e$=20.72,$Ratio_{sat}$=19.38,$\varphi_{fl}$=11.41,$\alpha$=1.51
data

i:25, Time:From:19.50,via:19.75,to:20.00,$B_t$0.44
Azooz fit: $a_1$=+3.723e+00,$a_2$=17.58,$a_3$=+2.378e+01,$a_4$=2.40
Class fit: $I_{sat}$=3.59,$\varphi_{pl}$=-21.18,$T_e$=17.86,$Ratio_{sat}$=18.09,$\varphi_{fl}$=8.84,$\alpha$=1.68
data

i:26, Time:From:20.00,via:20.25,to:20.50,$B_t$0.45
Azooz fit: $a_1$=+3.097e+00,$a_2$=12.40,$a_3$=+1.951e+01,$a_4$=1.41
Class fit: $I_{sat}$=1.56,$\varphi_{pl}$=-13.79,$T_e$=10.50,$Ratio_{sat}$=16.21,$\varphi_{fl}$=6.68,$\alpha$=1.95
data

i:27, Time:From:20.50,via:20.75,to:21.01,$B_t$0.45
Azooz fit: $a_1$=+3.273e+00,$a_2$=24.76,$a_3$=+4.650e+01,$a_4$=1.39
Class fit: $I_{sat}$=1.41,$\varphi_{pl}$=-21.20,$T_e$=18.35,$Ratio_{sat}$=19.51,$\varphi_{fl}$=5.72,$\alpha$=1.47
data

i:28, Time:From:21.01,via:21.26,to:21.50,$B_t$0.46
Azooz fit: $a_1$=+3.573e+00,$a_2$=26.39,$a_3$=+5.554e+01,$a_4$=1.96
Class fit: $I_{sat}$=2.24,$\varphi_{pl}$=-18.90,$T_e$=23.39,$Ratio_{sat}$=18.91,$\varphi_{fl}$=5.04,$\alpha$=1.02
data

i:29, Time:From:21.50,via:21.76,to:22.01,$B_t$0.46
Azooz fit: $a_1$=+2.773e+00,$a_2$=20.08,$a_3$=+2.592e+01,$a_4$=1.66
Class fit: $I_{sat}$=1.75,$\varphi_{pl}$=-17.17,$T_e$=13.93,$Ratio_{sat}$=10.26,$\varphi_{fl}$=3.79,$\alpha$=1.50
data

i:30, Time:From:22.01,via:22.26,to:22.51,$B_t$0.46
Azooz fit: $a_1$=+2.884e+00,$a_2$=29.11,$a_3$=+4.249e+01,$a_4$=1.39
Class fit: $I_{sat}$=1.22,$\varphi_{pl}$=-21.48,$T_e$=14.77,$Ratio_{sat}$=13.36,$\varphi_{fl}$=-0.56,$\alpha$=1.42
data

i:31, Time:From:22.51,via:22.76,to:23.01,$B_t$0.47
Azooz fit: $a_1$=+2.898e+00,$a_2$=37.83,$a_3$=+7.125e+01,$a_4$=1.27
Class fit: $I_{sat}$=1.95,$\varphi_{pl}$=-37.74,$T_e$=43.62,$Ratio_{sat}$=14.62,$\varphi_{fl}$=-1.27,$\alpha$=0.84
data

i:32, Time:From:23.01,via:23.26,to:23.51
!!Azooz fit problem! -> No Fits !




data

i:33, Time:From:23.51,via:23.76,to:24.01,$B_t$0.47
Azooz fit: $a_1$=+1.362e+00,$a_2$=13.61,$a_3$=+2.555e+01,$a_4$=0.69
Class fit: $I_{sat}$=0.43,$\varphi_{pl}$=-20.15,$T_e$=14.35,$Ratio_{sat}$=4.87,$\varphi_{fl}$=0.48,$\alpha$=1.44
data

i:34, Time:From:24.01,via:24.26,to:24.51,$B_t$0.47
Azooz fit: $a_1$=+1.423e+00,$a_2$=2.51,$a_3$=+2.215e+01,$a_4$=0.78
Class fit: $I_{sat}$=0.58,$\varphi_{pl}$=-8.30,$T_e$=15.44,$Ratio_{sat}$=4.85,$\varphi_{fl}$=0.12,$\alpha$=0.55
data

i:35, Time:From:24.51,via:24.76,to:25.02,$B_t$0.47
Azooz fit: $a_1$=+1.817e+00,$a_2$=5.80,$a_3$=+2.846e+01,$a_4$=0.61
Class fit: $I_{sat}$=0.49,$\varphi_{pl}$=-16.51,$T_e$=16.98,$Ratio_{sat}$=8.79,$\varphi_{fl}$=1.32,$\alpha$=1.05
data

i:36, Time:From:25.02,via:25.27,to:25.52,$B_t$0.47
Azooz fit: $a_1$=+1.872e+00,$a_2$=9.71,$a_3$=+3.152e+01,$a_4$=0.66
Class fit: $I_{sat}$=0.45,$\varphi_{pl}$=-13.84,$T_e$=12.42,$Ratio_{sat}$=8.84,$\varphi_{fl}$=0.97,$\alpha$=1.19
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 6.97 7.22 7.47 0.10 4.19 23.27 30.89 3.90 601 194 9.87 4.55 -16.42 14.23 17.93 20.25 2.58 -7.33
1 7.47 7.72 7.97 0.12 5.08 43.53 51.68 4.17 642 325 16.68 5.89 -34.63 20.33 39.69 17.02 2.54 -5.45
2 7.97 8.22 8.47 0.14 5.04 71.39 57.32 6.18 512 228 -4.92 9.39 -53.08 23.48 25.94 2.45 2.36 -4.25
3 8.47 8.72 8.97 0.16 5.09 58.55 49.24 6.60 534 281 -1.27 8.76 -43.08 19.51 25.57 -3.36 2.04 -3.30
4 8.97 9.22 9.47 0.18 5.07 59.82 44.62 6.79 494 235 -7.91 11.80 -48.07 22.57 24.53 -5.42 1.89 -1.95
5 9.47 9.72 9.98 0.19 5.22 69.57 55.58 8.76 517 276 -4.09 15.89 -50.41 28.43 22.19 -6.22 1.55 -2.02
6 9.98 10.23 10.48 0.21 5.00 53.70 28.36 8.35 416 267 -20.87 10.66 -44.32 13.16 18.81 -10.87 2.54 -2.19
7 10.48 10.73 10.98 0.23 5.50 61.59 49.97 7.49 533 284 -1.43 13.44 -48.44 22.43 33.52 -7.12 1.84 -1.84
8 10.98 11.23 11.48 0.25 5.46 65.02 49.49 12.34 508 227 -5.59 18.72 -44.84 22.51 20.07 -6.95 1.68 -0.83
9 11.48 11.73 11.98 0.26 5.03 75.81 62.22 11.87 519 273 -3.76 14.84 -42.91 25.22 13.85 0.10 1.71 0.42
10 11.98 12.23 12.48 0.28 5.18 36.15 24.56 4.40 498 233 -7.25 11.09 -40.40 17.16 41.34 -3.72 2.14 1.17
11 12.48 12.73 12.98 0.30 5.19 67.77 53.83 8.33 514 273 -4.59 12.35 -48.04 22.87 22.54 1.77 2.18 2.05
12 12.98 13.23 13.49 0.31 5.14 49.31 32.60 7.67 474 245 -11.24 11.88 -41.83 16.90 23.29 0.42 2.50 2.90
13 13.49 13.74 13.99 0.32 5.34 55.73 42.75 8.92 512 273 -4.92 21.05 -46.41 28.63 24.26 2.52 1.71 3.77
14 13.99 14.24 14.49 0.34 5.21 73.46 64.26 8.82 554 207 2.06 12.24 -47.41 25.26 21.69 6.60 2.14 4.65
15 14.49 14.74 14.99 0.35 5.24 35.53 41.35 5.47 621 316 13.19 8.31 -29.24 19.00 35.32 7.13 1.91 5.66
16 14.99 15.24 15.49 0.36 5.33 52.49 53.91 5.45 611 188 11.53 7.29 -39.62 19.98 39.04 5.94 2.28 6.00
17 15.49 15.74 15.99 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
18 15.99 16.24 16.49 0.39 5.61 51.12 67.59 3.96 727 136 30.80 8.87 -43.11 28.30 70.20 2.16 1.60 7.36
19 16.49 16.75 17.00 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 17.00 17.25 17.50 0.41 4.90 87.33 69.22 15.45 494 231 -7.91 18.45 -42.43 28.93 9.66 5.90 1.67 8.94
21 17.50 17.75 18.00 0.42 6.02 45.64 57.62 9.64 700 356 26.32 17.57 -32.23 25.66 43.88 11.88 1.72 9.77
22 18.00 18.25 18.50 0.42 6.17 71.70 93.60 7.94 820 88 46.26 19.59 -46.91 38.53 61.39 13.67 1.57 10.71
23 18.50 18.75 19.00 0.43 4.12 23.15 23.07 2.71 550 284 1.39 3.75 -24.56 13.44 23.61 13.87 2.86 11.81
24 19.00 19.25 19.50 0.44 4.04 29.50 46.33 3.08 658 171 19.34 3.69 -19.96 20.72 19.38 11.41 1.51 12.80
25 19.50 19.75 20.00 0.44 3.72 17.58 23.78 2.40 581 298 6.54 3.59 -21.18 17.86 18.09 8.84 1.68 14.26
26 20.00 20.25 20.50 0.45 3.10 12.40 19.51 1.41 576 208 5.71 1.56 -13.79 10.50 16.21 6.68 1.95 15.20
27 20.50 20.75 21.01 0.45 3.27 24.76 46.50 1.39 659 331 19.50 1.41 -21.20 18.35 19.51 5.72 1.47 16.14
28 21.01 21.26 21.50 0.46 3.57 26.39 55.54 1.96 715 144 28.81 2.24 -18.90 23.39 18.91 5.04 1.02 17.84
29 21.50 21.76 22.01 0.46 2.77 20.08 25.92 1.66 557 287 2.55 1.75 -17.17 13.93 10.26 3.79 1.50 19.19
30 22.01 22.26 22.51 0.46 2.88 29.11 42.49 1.39 594 195 8.70 1.22 -21.48 14.77 13.36 -0.56 1.42 21.02
31 22.51 22.76 23.01 0.47 2.90 37.83 71.25 1.27 697 347 25.82 1.95 -37.74 43.62 14.62 -1.27 0.84 23.26
32 23.01 23.26 23.51 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
33 23.51 23.76 24.01 0.47 1.36 13.61 25.55 0.69 546 281 0.73 0.43 -20.15 14.35 4.87 0.48 1.44 27.34
34 24.01 24.26 24.51 0.47 1.42 2.51 22.15 0.78 603 196 10.20 0.58 -8.30 15.44 4.85 0.12 0.55 30.12
35 24.51 24.76 25.02 0.47 1.82 5.80 28.46 0.61 623 315 13.52 0.49 -16.51 16.98 8.79 1.32 1.05 34.04
36 25.02 25.27 25.52 0.47 1.87 9.71 31.52 0.66 615 190 12.19 0.45 -13.84 12.42 8.84 0.97 1.19 39.21

data
Fitparametersgeneration*estimate*-><final>:No:34.
Azoozfit:a1:4.30->4.32;a2:42.30->42.97;a3:44.60->45.37;a4:5.20->5.37;
Classicfit:Isat:8.40->8.40;varphi_pl:-34.00->-33.49;Te:21.00->21.14;

Experimental Photo

Resources

References