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BPP experiments @ the tokamak GOLEM

Essential parameters:

  • Current resistor $R=$20 $\Omega$
  • Voltage divider: 1:100
  • The shot: 23295
  • The DAS used: Papouch_St
  • $U_{B_t}$=1200
  • Vacuum shot /plasma position issues/:23194
  • Voltage shift=20.0

Experimental setup

Ball pen probe @ North-East port


setup

The discharge #23295

Basic diagnostics


Plasma start:6530 us Plasma end:26950 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:6.71,via:6.95,to:7.20,$B_t$0.08Azooz fit: $a_1$=+3.568e+00,$a_2$=22.79,$a_3$=+2.023e+01,$a_4$=3.08Class fit: $I_{sat}$=1.43,$\varphi_{pl}$=-20.11,$T_e$=5.68,$Ratio_{sat}$=0.03,$\varphi_{fl}$=12.38,$\alpha$=5.84
i: 1, Time:From:7.20,via:7.45,to:7.70,$B_t$0.11Azooz fit: $a_1$=+4.960e+00,$a_2$=36.70,$a_3$=+4.226e+01,$a_4$=4.57Class fit: $I_{sat}$=5.53,$\varphi_{pl}$=-24.10,$T_e$=11.61,$Ratio_{sat}$=-0.00,$\varphi_{fl}$=32.16,$\alpha$=8.25
i: 2, Time:From:7.70,via:7.95,to:8.20,$B_t$0.13Azooz fit: $a_1$=+4.903e+00,$a_2$=46.53,$a_3$=+4.349e+01,$a_4$=2.22Class fit: $I_{sat}$=156.49,$\varphi_{pl}$=-45.34,$T_e$=585.47,$Ratio_{sat}$=-0.02,$\varphi_{fl}$=61.41,$\alpha$=8.35
i: 3, Time:From:8.20,via:8.45,to:8.70,$B_t$0.15Azooz fit: $a_1$=+4.914e+00,$a_2$=65.71,$a_3$=+6.311e+01,$a_4$=2.60Class fit: $I_{sat}$=1.83,$\varphi_{pl}$=-55.71,$T_e$=14.38,$Ratio_{sat}$=0.02,$\varphi_{fl}$=53.27,$\alpha$=1.63
i: 4, Time:From:8.70,via:8.94,to:9.19,$B_t$0.16Azooz fit: $a_1$=+4.863e+00,$a_2$=70.42,$a_3$=+7.101e+01,$a_4$=2.01Class fit: $I_{sat}$=21031.08,$\varphi_{pl}$=-61.40,$T_e$=107691.28,$Ratio_{sat}$=-0.02,$\varphi_{fl}$=65.20,$\alpha$=-2.36
i: 5, Time:From:9.19,via:9.44,to:9.69,$B_t$0.18Azooz fit: $a_1$=+4.905e+00,$a_2$=62.30,$a_3$=+5.627e+01,$a_4$=0.68Class fit: $I_{sat}$=3.01,$\varphi_{pl}$=-67.90,$T_e$=20.50,$Ratio_{sat}$=0.02,$\varphi_{fl}$=197.91,$\alpha$=-3.45
i: 6, Time:From:9.69,via:9.94,to:10.18,$B_t$0.20Azooz fit: $a_1$=+4.858e+00,$a_2$=75.38,$a_3$=+6.244e+01,$a_4$=2.42Class fit: $I_{sat}$=-11.75,$\varphi_{pl}$=102.69,$T_e$=3.77,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=53.96,$\alpha$=-1.88
i: 7, Time:From:10.18,via:10.44,to:10.70,$B_t$0.22Azooz fit: $a_1$=+4.924e+00,$a_2$=53.87,$a_3$=+4.291e+01,$a_4$=-0.89Class fit: $I_{sat}$=24750.04,$\varphi_{pl}$=-75.53,$T_e$=43675.44,$Ratio_{sat}$=-0.08,$\varphi_{fl}$=-154.14,$\alpha$=4.41
i: 8, Time:From:10.70,via:10.94,to:11.19,$B_t$0.24Azooz fit: $a_1$=+4.893e+00,$a_2$=59.26,$a_3$=+5.002e+01,$a_4$=0.94Class fit: $I_{sat}$=581.30,$\varphi_{pl}$=-66.74,$T_e$=2474.93,$Ratio_{sat}$=0.00,$\varphi_{fl}$=141.85,$\alpha$=3.16
i: 9, Time:From:11.19,via:11.44,to:11.69,$B_t$0.25Azooz fit: $a_1$=+4.927e+00,$a_2$=68.48,$a_3$=+4.915e+01,$a_4$=2.76Class fit: $I_{sat}$=23.00,$\varphi_{pl}$=-61.96,$T_e$=78.94,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=50.83,$\alpha$=4.53
i:10, Time:From:11.69,via:11.94,to:12.18,$B_t$0.27Azooz fit: $a_1$=+4.902e+00,$a_2$=46.09,$a_3$=+3.513e+01,$a_4$=0.97Class fit: $I_{sat}$=3.47,$\varphi_{pl}$=-49.89,$T_e$=19.98,$Ratio_{sat}$=-0.02,$\varphi_{fl}$=138.86,$\alpha$=0.66
i:11, Time:From:12.18,via:12.43,to:12.69,$B_t$0.29Azooz fit: $a_1$=+5.114e+00,$a_2$=50.35,$a_3$=+4.205e+01,$a_4$=-1.05Class fit: $I_{sat}$=4.46,$\varphi_{pl}$=-66.70,$T_e$=3.07,$Ratio_{sat}$=-0.04,$\varphi_{fl}$=-158.90,$\alpha$=4.95
i:12, Time:From:12.69,via:12.94,to:13.19,$B_t$0.30Azooz fit: $a_1$=+5.555e+00,$a_2$=99.81,$a_3$=+9.364e+01,$a_4$=6.44Class fit: $I_{sat}$=19467.21,$\varphi_{pl}$=-63.39,$T_e$=91077.05,$Ratio_{sat}$=0.01,$\varphi_{fl}$=41.12,$\alpha$=3.37
i:13, Time:From:13.19,via:13.43,to:13.68
!!Azooz fit problem! -> No Fits !




data
i:14, Time:From:13.68,via:13.93,to:14.18,$B_t$0.33Azooz fit: $a_1$=+5.304e+00,$a_2$=63.97,$a_3$=+6.421e+01,$a_4$=1.64Class fit: $I_{sat}$=-162589.99,$\varphi_{pl}$=-58.63,$T_e$=-321387.11,$Ratio_{sat}$=-0.02,$\varphi_{fl}$=123.67,$\alpha$=1.41
i:15, Time:From:14.18,via:14.43,to:14.68,$B_t$0.34Azooz fit: $a_1$=+6.068e+00,$a_2$=161.04,$a_3$=+1.660e+02,$a_4$=27.00Class fit: $I_{sat}$=63992.01,$\varphi_{pl}$=-47.69,$T_e$=694572.74,$Ratio_{sat}$=0.02,$\varphi_{fl}$=17.00,$\alpha$=4.19
i:16, Time:From:14.68,via:14.92,to:15.17,$B_t$0.36Azooz fit: $a_1$=+5.309e+00,$a_2$=52.35,$a_3$=+6.094e+01,$a_4$=3.59Class fit: $I_{sat}$=5.05,$\varphi_{pl}$=-50.25,$T_e$=12.76,$Ratio_{sat}$=0.03,$\varphi_{fl}$=57.28,$\alpha$=2.37
i:17, Time:From:15.17,via:15.42,to:15.68
!!Azooz fit problem! -> No Fits !




data
i:18, Time:From:15.68,via:15.92,to:16.16,$B_t$0.38Azooz fit: $a_1$=+5.616e+00,$a_2$=59.47,$a_3$=+8.684e+01,$a_4$=6.28Class fit: $I_{sat}$=107421.56,$\varphi_{pl}$=-33.95,$T_e$=324061.79,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=44.75,$\alpha$=2.15
i:19, Time:From:16.16,via:16.41,to:16.66,$B_t$0.39Azooz fit: $a_1$=+4.889e+00,$a_2$=17.49,$a_3$=+2.301e+01,$a_4$=-4.85Class fit: $I_{sat}$=7.72,$\varphi_{pl}$=-84.60,$T_e$=-1.87,$Ratio_{sat}$=0.05,$\varphi_{fl}$=-26.39,$\alpha$=2.45
i:20, Time:From:16.66,via:16.91,to:17.16
!!Azooz fit problem! -> No Fits !




data
i:21, Time:From:17.16,via:17.41,to:17.66,$B_t$0.41Azooz fit: $a_1$=+4.432e+00,$a_2$=25.49,$a_3$=+1.796e+01,$a_4$=0.47Class fit: $I_{sat}$=2.20,$\varphi_{pl}$=-42.22,$T_e$=11.22,$Ratio_{sat}$=0.01,$\varphi_{fl}$=174.19,$\alpha$=3.88
i:22, Time:From:17.66,via:17.91,to:18.17,$B_t$0.42Azooz fit: $a_1$=+4.865e+00,$a_2$=22.88,$a_3$=+2.124e+01,$a_4$=-1.96Class fit: $I_{sat}$=5.55,$\varphi_{pl}$=-83.37,$T_e$=-0.33,$Ratio_{sat}$=0.03,$\varphi_{fl}$=-65.44,$\alpha$=7.09
i:23, Time:From:18.17,via:18.41,to:18.66,$B_t$0.43Azooz fit: $a_1$=+5.023e+00,$a_2$=29.76,$a_3$=+4.321e+01,$a_4$=0.96Class fit: $I_{sat}$=0.78,$\varphi_{pl}$=-27.22,$T_e$=4.59,$Ratio_{sat}$=0.04,$\varphi_{fl}$=157.68,$\alpha$=18.85
i:24, Time:From:18.66,via:18.91,to:19.16
!!Azooz fit problem! -> No Fits !




data
i:25, Time:From:19.16,via:19.41,to:19.66,$B_t$0.44Azooz fit: $a_1$=+5.238e+00,$a_2$=63.37,$a_3$=+7.763e+01,$a_4$=3.60Class fit: $I_{sat}$=6.76,$\varphi_{pl}$=-46.53,$T_e$=22.45,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=53.26,$\alpha$=20.67
i:26, Time:From:19.66,via:19.91,to:20.15,$B_t$0.45Azooz fit: $a_1$=+5.281e+00,$a_2$=32.29,$a_3$=+5.501e+01,$a_4$=3.06Class fit: $I_{sat}$=6.34,$\varphi_{pl}$=-25.33,$T_e$=15.63,$Ratio_{sat}$=-0.00,$\varphi_{fl}$=65.12,$\alpha$=19.60
i:27, Time:From:20.15,via:20.40,to:20.66,$B_t$0.45Azooz fit: $a_1$=+4.410e+00,$a_2$=56.61,$a_3$=+4.742e+01,$a_4$=3.46Class fit: $I_{sat}$=32719.67,$\varphi_{pl}$=-47.36,$T_e$=113885.17,$Ratio_{sat}$=-0.02,$\varphi_{fl}$=24.70,$\alpha$=19.58
i:28, Time:From:20.66,via:20.90,to:21.15,$B_t$0.46Azooz fit: $a_1$=+4.492e+00,$a_2$=16.87,$a_3$=+3.552e+01,$a_4$=-0.47Class fit: $I_{sat}$=-1494.04,$\varphi_{pl}$=-42.13,$T_e$=-13807.05,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=-195.66,$\alpha$=19.21
i:29, Time:From:21.15,via:21.40,to:21.65,$B_t$0.46Azooz fit: $a_1$=+3.443e+00,$a_2$=38.76,$a_3$=+3.571e+01,$a_4$=1.94Class fit: $I_{sat}$=0.78,$\varphi_{pl}$=-31.13,$T_e$=5.23,$Ratio_{sat}$=0.04,$\varphi_{fl}$=16.85,$\alpha$=19.84
i:30, Time:From:21.65,via:21.89,to:22.14,$B_t$0.46Azooz fit: $a_1$=+3.601e+00,$a_2$=23.14,$a_3$=+2.428e+01,$a_4$=0.62Class fit: $I_{sat}$=1.24,$\varphi_{pl}$=-34.37,$T_e$=10.98,$Ratio_{sat}$=0.01,$\varphi_{fl}$=57.91,$\alpha$=14.74
i:31, Time:From:22.14,via:22.39,to:22.64
!!Azooz fit problem! -> No Fits !




data
i:32, Time:From:22.64,via:22.89,to:23.14,$B_t$0.47Azooz fit: $a_1$=+4.545e+00,$a_2$=63.67,$a_3$=+7.952e+01,$a_4$=4.76Class fit: $I_{sat}$=21.78,$\varphi_{pl}$=-37.06,$T_e$=102.62,$Ratio_{sat}$=-0.01,$\varphi_{fl}$=20.71,$\alpha$=11.75
i:33, Time:From:23.14,via:23.39,to:23.64,$B_t$0.47Azooz fit: $a_1$=+4.404e+00,$a_2$=57.68,$a_3$=+6.244e+01,$a_4$=4.30Class fit: $I_{sat}$=2.21,$\varphi_{pl}$=-37.91,$T_e$=10.98,$Ratio_{sat}$=0.03,$\varphi_{fl}$=19.96,$\alpha$=12.42
i:34, Time:From:23.64,via:23.89,to:24.14,$B_t$0.47Azooz fit: $a_1$=+4.368e+00,$a_2$=12.96,$a_3$=+2.755e+01,$a_4$=1.40Class fit: $I_{sat}$=1.58,$\varphi_{pl}$=-22.74,$T_e$=9.14,$Ratio_{sat}$=0.02,$\varphi_{fl}$=56.74,$\alpha$=8.84
i:35, Time:From:24.14,via:24.39,to:24.64,$B_t$0.47Azooz fit: $a_1$=+4.170e+00,$a_2$=32.86,$a_3$=+4.940e+01,$a_4$=2.69Class fit: $I_{sat}$=2.74,$\varphi_{pl}$=-24.92,$T_e$=18.88,$Ratio_{sat}$=0.00,$\varphi_{fl}$=24.91,$\alpha$=8.89
i:36, Time:From:24.64,via:24.89,to:25.13,$B_t$0.47Azooz fit: $a_1$=+4.537e+00,$a_2$=40.11,$a_3$=+7.497e+01,$a_4$=3.34Class fit: $I_{sat}$=0.87,$\varphi_{pl}$=-9.94,$T_e$=5.07,$Ratio_{sat}$=0.04,$\varphi_{fl}$=28.83,$\alpha$=7.60
i:37, Time:From:25.13,via:25.38,to:25.63,$B_t$0.47Azooz fit: $a_1$=+3.204e+00,$a_2$=8.48,$a_3$=+1.828e+01,$a_4$=1.87Class fit: $I_{sat}$=1.58,$\varphi_{pl}$=-9.06,$T_e$=9.28,$Ratio_{sat}$=0.01,$\varphi_{fl}$=13.86,$\alpha$=7.92
i:38, Time:From:25.63,via:25.88,to:26.13,$B_t$0.46Azooz fit: $a_1$=+3.252e+00,$a_2$=6.58,$a_3$=+2.415e+01,$a_4$=1.36Class fit: $I_{sat}$=0.52,$\varphi_{pl}$=-7.57,$T_e$=4.65,$Ratio_{sat}$=0.04,$\varphi_{fl}$=19.50,$\alpha$=6.82

$i$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
$I(V_{bias},I_{sat},V_{fl},T_e,C)=-I_{sat}*(1-C*(V_{bias}-V_{fl}))*(1-\exp((V_{bias}-V_{fl})/T_e)$
$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$C
0 6.71 6.95 7.20 0.08 3.57 22.79 20.23 3.08 -16 200 -2.65 1.43 -20.11 5.68 0.035 12.38 5.84 4.57 -14.63
1 7.20 7.45 7.70 0.11 4.96 36.70 42.26 4.57 -23 185 11.94 5.53 -24.10 11.61 -0.002 32.16 8.25 2.79 -6.92
2 7.70 7.95 8.20 0.13 4.90 46.53 43.49 2.22 -39 133 3.27 156.49 -45.34 585.47 -0.018 61.41 8.35 0.09 -5.76
3 8.20 8.45 8.70 0.15 4.91 65.71 63.11 2.60 -53 90 6.82 1.83 -55.71 14.38 0.016 53.27 1.63 3.99 -5.75
4 8.70 8.94 9.19 0.16 4.86 70.42 71.01 2.01 -60 72 10.83 21031.08 -61.40 107691.28 -0.025 65.20 -2.36 0.00 -5.40
5 9.19 9.44 9.69 0.18 4.90 62.30 56.27 0.68 -67 53 2.16 3.01 -67.90 20.50 0.023 197.91 -3.45 3.14 -4.51
6 9.69 9.94 10.18 0.20 4.86 75.38 62.44 2.42 -64 60 -4.01 -11.75 102.69 3.77 -0.006 53.96 -1.88 -27.75 -3.70
7 10.18 10.44 10.70 0.22 4.92 53.87 42.91 -0.89 -84 0 -4.72 24750.04 -75.53 43675.44 -0.077 -154.14 4.41 0.00 -2.86
8 10.70 10.94 11.19 0.24 4.89 59.26 50.02 0.94 -60 68 -1.84 581.30 -66.74 2474.93 0.000 141.85 3.16 0.03 -1.97
9 11.19 11.44 11.69 0.25 4.93 68.48 49.15 2.76 -58 75 -11.86 23.00 -61.96 78.94 -0.013 50.83 4.53 0.84 -1.06
10 11.69 11.94 12.18 0.27 4.90 46.09 35.13 0.97 -46 113 -5.76 3.47 -49.89 19.98 -0.016 138.86 0.66 2.53 -0.09
11 12.18 12.43 12.69 0.29 5.11 50.35 42.05 -1.05 -83 0 -1.12 4.46 -66.70 3.07 -0.038 -158.90 4.95 23.35 0.86
12 12.69 12.94 13.19 0.30 5.56 99.81 93.64 6.44 -67 50 13.29 19467.21 -63.39 91077.05 0.008 41.12 3.37 0.00 1.92
13 13.19 13.43 13.68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13.68 13.93 14.18 0.33 5.30 63.97 64.21 1.64 -58 72 12.15 -162589.99 -58.63 -321387.11 -0.018 123.67 1.41 -0.00 4.20
15 14.18 14.43 14.68 0.34 6.07 161.04 166.04 27.00 -60 67 46.86 63992.01 -47.69 694572.74 0.025 17.00 4.19 0.00 5.26
16 14.68 14.92 15.17 0.36 5.31 52.35 60.94 3.59 -37 137 19.95 5.05 -50.25 12.76 0.030 57.28 2.37 4.12 6.40
17 15.17 15.42 15.68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 15.68 15.92 16.16 0.38 5.62 59.47 86.84 6.28 -30 160 45.83 107421.56 -33.95 324061.79 -0.014 44.75 2.15 0.00 7.85
19 16.16 16.41 16.66 0.39 4.89 17.49 23.01 -4.85 -82 0 8.86 7.72 -84.60 -1.87 0.048 -26.39 2.45 -46.63 8.02
20 16.66 16.91 17.16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 17.16 17.41 17.66 0.41 4.43 25.49 17.96 0.47 -29 166 -5.72 2.20 -42.22 11.22 0.014 174.19 3.88 4.11 8.01
22 17.66 17.91 18.17 0.42 4.86 22.88 21.24 -1.96 -82 0 1.55 5.55 -83.37 -0.33 0.032 -65.44 7.09 -271.08 8.89
23 18.17 18.41 18.66 0.43 5.02 29.76 43.21 0.96 -30 160 20.33 0.78 -27.22 4.59 0.044 157.68 18.85 10.05 10.68
24 18.66 18.91 19.16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
25 19.16 19.41 19.66 0.44 5.24 63.37 77.63 3.60 -44 121 28.29 6.76 -46.53 22.45 -0.009 53.26 20.67 2.99 11.80
26 19.66 19.91 20.15 0.45 5.28 32.29 55.01 3.06 -20 190 32.64 6.34 -25.33 15.63 -0.003 65.12 19.60 2.87 13.12
27 20.15 20.40 20.66 0.45 4.41 56.61 47.42 3.46 -43 122 -4.69 32719.67 -47.36 113885.17 -0.016 24.70 19.58 0.00 13.26
28 20.66 20.90 21.15 0.46 4.49 16.87 35.52 -0.47 -82 0 22.49 -1494.04 -42.13 -13807.05 -0.011 -195.66 19.21 -0.00 13.29
29 21.15 21.40 21.65 0.46 3.44 38.76 35.71 1.94 -32 155 -4.07 0.78 -31.13 5.23 0.039 16.85 19.84 9.75 14.01
30 21.65 21.89 22.14 0.46 3.60 23.14 24.28 0.62 -26 169 0.98 1.24 -34.37 10.98 0.006 57.91 14.74 4.47 14.87
31 22.14 22.39 22.64 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
32 22.64 22.89 23.14 0.47 4.54 63.67 79.52 4.76 -35 143 24.46 21.78 -37.06 102.62 -0.008 20.71 11.75 0.48 19.56
33 23.14 23.39 23.64 0.47 4.40 57.68 62.44 4.30 -36 143 10.69 2.21 -37.91 10.98 0.026 19.96 12.42 4.58 21.43
34 23.64 23.89 24.14 0.47 4.37 12.96 27.55 1.40 -11 218 17.08 1.58 -22.74 9.14 0.020 56.74 8.84 3.46 23.66
35 24.14 24.39 24.64 0.47 4.17 32.86 49.40 2.69 -21 189 19.96 2.74 -24.92 18.88 0.004 24.91 8.89 1.79 26.76
36 24.64 24.89 25.13 0.47 4.54 40.11 74.97 3.34 -20 192 42.90 0.87 -9.94 5.07 0.036 28.83 7.60 3.46 30.29
37 25.13 25.38 25.63 0.47 3.20 8.48 18.28 1.87 -5 238 8.72 1.58 -9.06 9.28 0.007 13.86 7.92 1.83 33.96
38 25.63 25.88 26.13 0.46 3.25 6.58 24.15 1.36 -4 237 16.18 0.52 -7.57 4.65 0.040 19.50 6.82 3.10 39.23

data
Fit parameters generation *estimate*-><final>:No:34.
Azooz fit: a1:4.30 -> 4.70;a2:42.30 -> 48.34;a3:44.60 -> 51.97;a4:5.20 -> 2.70;
Classic fit: Isat:8.40 -> 3121.59;varphi_pl:-34.00 -> -40.00;Te:21.00 -> 30683.20;C:0.020 -> 0.005;

Experimental Photo

Resources

References