BPP experiments @ the tokamak GOLEM

Essential parameters:

Experimental setup

Ball pen probe @ North-East port

setup

The discharge #23191

Basic diagnostics

Plasma start:6730 us Plasma end:26510 us

The BPP data vs diagnostics

The BPP raw data

Maxima and minima localization in bpp_voltage

Extrems
minima
maxima

Final movie

i: 0, Time:From:6.86,via:7.11,to:7.36,$B_t$0.10
Azooz fit: $a_1$=+3.345e+00,$a_2$=31.02,$a_3$=+3.102e+01,$a_4$=2.24
Class fit: $I_{sat}$=2.94,$\varphi_{pl}$=-28.39,$T_e$=18.90,$Ratio_{sat}$=13.43,$\varphi_{fl}$=20.18,$\alpha$=2.57
data

i: 1, Time:From:7.36,via:7.61,to:7.86,$B_t$0.12
Azooz fit: $a_1$=+4.990e+00,$a_2$=40.30,$a_3$=+5.784e+01,$a_4$=4.11
Class fit: $I_{sat}$=5.07,$\varphi_{pl}$=-27.81,$T_e$=20.69,$Ratio_{sat}$=36.66,$\varphi_{fl}$=23.78,$\alpha$=2.49
data

i: 2, Time:From:7.86,via:8.12,to:8.37,$B_t$0.14
Azooz fit: $a_1$=+4.969e+00,$a_2$=46.39,$a_3$=+5.273e+01,$a_4$=4.07
Class fit: $I_{sat}$=7.11,$\varphi_{pl}$=-38.47,$T_e$=24.40,$Ratio_{sat}$=36.25,$\varphi_{fl}$=16.29,$\alpha$=2.24
data

i: 3, Time:From:8.37,via:8.62,to:8.87,$B_t$0.16
Azooz fit: $a_1$=+5.407e+00,$a_2$=56.71,$a_3$=+5.125e+01,$a_4$=5.11
Class fit: $I_{sat}$=6.65,$\varphi_{pl}$=-44.78,$T_e$=17.78,$Ratio_{sat}$=44.57,$\varphi_{fl}$=7.84,$\alpha$=2.96
data

i: 4, Time:From:8.87,via:9.12,to:9.37,$B_t$0.18
Azooz fit: $a_1$=+5.388e+00,$a_2$=66.43,$a_3$=+5.206e+01,$a_4$=7.63
Class fit: $I_{sat}$=10.74,$\varphi_{pl}$=-49.28,$T_e$=20.24,$Ratio_{sat}$=29.66,$\varphi_{fl}$=-1.96,$\alpha$=2.34
data

i: 5, Time:From:9.37,via:9.62,to:9.87,$B_t$0.21
Azooz fit: $a_1$=+5.129e+00,$a_2$=50.96,$a_3$=+3.710e+01,$a_4$=6.40
Class fit: $I_{sat}$=9.68,$\varphi_{pl}$=-42.32,$T_e$=17.41,$Ratio_{sat}$=27.36,$\varphi_{fl}$=-1.46,$\alpha$=2.35
data

i: 6, Time:From:9.87,via:10.12,to:10.37,$B_t$0.23
Azooz fit: $a_1$=+5.381e+00,$a_2$=83.52,$a_3$=+8.147e+01,$a_4$=9.90
Class fit: $I_{sat}$=12.19,$\varphi_{pl}$=-47.13,$T_e$=27.47,$Ratio_{sat}$=22.92,$\varphi_{fl}$=0.61,$\alpha$=1.74
data

i: 7, Time:From:10.37,via:10.62,to:10.87,$B_t$0.24
Azooz fit: $a_1$=+4.868e+00,$a_2$=59.23,$a_3$=+4.743e+01,$a_4$=3.41
Class fit: $I_{sat}$=14.00,$\varphi_{pl}$=-56.03,$T_e$=36.55,$Ratio_{sat}$=38.98,$\varphi_{fl}$=1.80,$\alpha$=1.58
data

i: 8, Time:From:10.87,via:11.12,to:11.37,$B_t$0.26
Azooz fit: $a_1$=+5.043e+00,$a_2$=45.40,$a_3$=+4.844e+01,$a_4$=4.13
Class fit: $I_{sat}$=7.41,$\varphi_{pl}$=-39.08,$T_e$=22.82,$Ratio_{sat}$=38.40,$\varphi_{fl}$=3.82,$\alpha$=1.88
data

i: 9, Time:From:11.37,via:11.62,to:11.88,$B_t$0.28
Azooz fit: $a_1$=+5.508e+00,$a_2$=97.38,$a_3$=+9.883e+01,$a_4$=9.68
Class fit: $I_{sat}$=14.76,$\varphi_{pl}$=-56.08,$T_e$=36.85,$Ratio_{sat}$=26.47,$\varphi_{fl}$=4.16,$\alpha$=1.63
data

i:10, Time:From:11.88,via:12.12,to:12.37
!!Azooz fit problem! -> No Fits !




data

i:11, Time:From:12.37,via:12.62,to:12.88,$B_t$0.32
Azooz fit: $a_1$=+5.711e+00,$a_2$=59.12,$a_3$=+4.670e+01,$a_4$=9.38
Class fit: $I_{sat}$=15.59,$\varphi_{pl}$=-45.71,$T_e$=20.81,$Ratio_{sat}$=33.21,$\varphi_{fl}$=-0.92,$\alpha$=2.15
data

i:12, Time:From:12.88,via:13.13,to:13.38,$B_t$0.33
Azooz fit: $a_1$=+5.997e+00,$a_2$=78.84,$a_3$=+8.301e+01,$a_4$=10.58
Class fit: $I_{sat}$=20.88,$\varphi_{pl}$=-49.45,$T_e$=33.39,$Ratio_{sat}$=39.00,$\varphi_{fl}$=4.73,$\alpha$=1.62
data

i:13, Time:From:13.38,via:13.63,to:13.88,$B_t$0.35
Azooz fit: $a_1$=+4.727e+00,$a_2$=48.45,$a_3$=+2.544e+01,$a_4$=5.19
Class fit: $I_{sat}$=8.48,$\varphi_{pl}$=-45.50,$T_e$=14.31,$Ratio_{sat}$=22.72,$\varphi_{fl}$=5.35,$\alpha$=3.55
data

i:14, Time:From:13.88,via:14.13,to:14.38,$B_t$0.36
Azooz fit: $a_1$=+4.984e+00,$a_2$=29.64,$a_3$=+3.783e+01,$a_4$=1.74
Class fit: $I_{sat}$=5.33,$\varphi_{pl}$=-36.99,$T_e$=20.89,$Ratio_{sat}$=84.54,$\varphi_{fl}$=4.81,$\alpha$=2.00
data

i:15, Time:From:14.38,via:14.63,to:14.88,$B_t$0.38
Azooz fit: $a_1$=+4.978e+00,$a_2$=43.70,$a_3$=+4.617e+01,$a_4$=2.78
Class fit: $I_{sat}$=5.41,$\varphi_{pl}$=-41.72,$T_e$=20.62,$Ratio_{sat}$=53.12,$\varphi_{fl}$=3.73,$\alpha$=2.20
data

i:16, Time:From:14.88,via:15.13,to:15.38,$B_t$0.39
Azooz fit: $a_1$=+4.988e+00,$a_2$=51.88,$a_3$=+5.214e+01,$a_4$=2.69
Class fit: $I_{sat}$=6.49,$\varphi_{pl}$=-49.26,$T_e$=25.21,$Ratio_{sat}$=55.32,$\varphi_{fl}$=1.71,$\alpha$=2.02
data

i:17, Time:From:15.38,via:15.63,to:15.88,$B_t$0.40
Azooz fit: $a_1$=+4.648e+00,$a_2$=51.94,$a_3$=+4.647e+01,$a_4$=1.98
Class fit: $I_{sat}$=5.50,$\varphi_{pl}$=-52.38,$T_e$=24.55,$Ratio_{sat}$=53.47,$\varphi_{fl}$=1.89,$\alpha$=2.21
data

i:18, Time:From:15.88,via:16.13,to:16.38,$B_t$0.42
Azooz fit: $a_1$=+4.634e+00,$a_2$=42.70,$a_3$=+3.289e+01,$a_4$=3.84
Class fit: $I_{sat}$=6.32,$\varphi_{pl}$=-39.89,$T_e$=17.51,$Ratio_{sat}$=27.70,$\varphi_{fl}$=6.64,$\alpha$=2.66
data

i:19, Time:From:16.38,via:16.63,to:16.88,$B_t$0.43
Azooz fit: $a_1$=+4.081e+00,$a_2$=28.94,$a_3$=+2.397e+01,$a_4$=2.56
Class fit: $I_{sat}$=5.42,$\varphi_{pl}$=-35.25,$T_e$=20.15,$Ratio_{sat}$=23.94,$\varphi_{fl}$=10.70,$\alpha$=2.28
data

i:20, Time:From:16.88,via:17.13,to:17.39,$B_t$0.44
Azooz fit: $a_1$=+4.245e+00,$a_2$=42.58,$a_3$=+4.831e+01,$a_4$=4.96
Class fit: $I_{sat}$=6.68,$\varphi_{pl}$=-27.72,$T_e$=23.55,$Ratio_{sat}$=15.00,$\varphi_{fl}$=15.26,$\alpha$=1.82
data

i:21, Time:From:17.39,via:17.64,to:17.89,$B_t$0.45
Azooz fit: $a_1$=+4.057e+00,$a_2$=22.38,$a_3$=+2.502e+01,$a_4$=4.30
Class fit: $I_{sat}$=5.76,$\varphi_{pl}$=-19.37,$T_e$=16.57,$Ratio_{sat}$=14.38,$\varphi_{fl}$=14.68,$\alpha$=2.06
data

i:22, Time:From:17.89,via:18.14,to:18.39,$B_t$0.46
Azooz fit: $a_1$=+4.213e+00,$a_2$=29.77,$a_3$=+5.580e+01,$a_4$=1.89
Class fit: $I_{sat}$=2.54,$\varphi_{pl}$=-27.18,$T_e$=22.69,$Ratio_{sat}$=36.51,$\varphi_{fl}$=10.84,$\alpha$=1.68
data

i:23, Time:From:18.39,via:18.64,to:18.89,$B_t$0.46
Azooz fit: $a_1$=+3.541e+00,$a_2$=17.53,$a_3$=+2.052e+01,$a_4$=1.75
Class fit: $I_{sat}$=2.20,$\varphi_{pl}$=-19.97,$T_e$=11.86,$Ratio_{sat}$=20.41,$\varphi_{fl}$=11.01,$\alpha$=2.61
data

i:24, Time:From:18.89,via:19.14,to:19.39,$B_t$0.47
Azooz fit: $a_1$=+3.747e+00,$a_2$=18.56,$a_3$=+4.398e+01,$a_4$=1.39
Class fit: $I_{sat}$=1.59,$\varphi_{pl}$=-18.79,$T_e$=17.82,$Ratio_{sat}$=30.87,$\varphi_{fl}$=7.52,$\alpha$=1.48
data

i:25, Time:From:19.39,via:19.64,to:19.89,$B_t$0.48
Azooz fit: $a_1$=+3.751e+00,$a_2$=28.89,$a_3$=+6.431e+01,$a_4$=1.32
Class fit: $I_{sat}$=1.70,$\varphi_{pl}$=-29.33,$T_e$=26.31,$Ratio_{sat}$=32.73,$\varphi_{fl}$=5.61,$\alpha$=1.33
data

i:26, Time:From:19.89,via:20.14,to:20.39,$B_t$0.48
Azooz fit: $a_1$=+3.974e+00,$a_2$=44.22,$a_3$=+9.175e+01,$a_4$=2.24
Class fit: $I_{sat}$=3.62,$\varphi_{pl}$=-31.76,$T_e$=43.34,$Ratio_{sat}$=24.50,$\varphi_{fl}$=3.94,$\alpha$=0.82
data

i:27, Time:From:20.39,via:20.64,to:20.89,$B_t$0.49
Azooz fit: $a_1$=+3.274e+00,$a_2$=11.46,$a_3$=+2.861e+01,$a_4$=1.17
Class fit: $I_{sat}$=1.45,$\varphi_{pl}$=-15.88,$T_e$=15.05,$Ratio_{sat}$=22.81,$\varphi_{fl}$=3.54,$\alpha$=1.29
data

i:28, Time:From:20.89,via:21.14,to:21.39,$B_t$0.49
Azooz fit: $a_1$=+2.815e+00,$a_2$=16.28,$a_3$=+3.003e+01,$a_4$=1.43
Class fit: $I_{sat}$=1.46,$\varphi_{pl}$=-13.60,$T_e$=14.26,$Ratio_{sat}$=12.13,$\varphi_{fl}$=3.54,$\alpha$=1.20
data

i:29, Time:From:21.39,via:21.64,to:21.89,$B_t$0.50
Azooz fit: $a_1$=+3.337e+00,$a_2$=14.30,$a_3$=+4.296e+01,$a_4$=1.13
Class fit: $I_{sat}$=1.68,$\varphi_{pl}$=-21.80,$T_e$=24.67,$Ratio_{sat}$=25.14,$\varphi_{fl}$=2.48,$\alpha$=0.98
data

i:30, Time:From:21.89,via:22.14,to:22.40,$B_t$0.50
Azooz fit: $a_1$=+2.938e+00,$a_2$=18.53,$a_3$=+2.895e+01,$a_4$=0.84
Class fit: $I_{sat}$=0.98,$\varphi_{pl}$=-25.66,$T_e$=15.51,$Ratio_{sat}$=22.16,$\varphi_{fl}$=0.04,$\alpha$=1.66
data

i:31, Time:From:22.40,via:22.65,to:22.90,$B_t$0.50
Azooz fit: $a_1$=+1.771e+00,$a_2$=17.72,$a_3$=+1.278e+01,$a_4$=0.64
Class fit: $I_{sat}$=0.57,$\varphi_{pl}$=-25.66,$T_e$=11.32,$Ratio_{sat}$=8.08,$\varphi_{fl}$=-0.90,$\alpha$=2.19
data

i:32, Time:From:22.90,via:23.15,to:23.40,$B_t$0.51
Azooz fit: $a_1$=+1.616e+00,$a_2$=9.37,$a_3$=+2.772e+01,$a_4$=0.69
Class fit: $I_{sat}$=0.49,$\varphi_{pl}$=-15.46,$T_e$=14.32,$Ratio_{sat}$=6.45,$\varphi_{fl}$=0.03,$\alpha$=1.08
data

i:33, Time:From:23.40,via:23.65,to:23.90,$B_t$0.51
Azooz fit: $a_1$=+1.392e+00,$a_2$=12.33,$a_3$=+2.772e+01,$a_4$=0.61
Class fit: $I_{sat}$=0.40,$\varphi_{pl}$=-24.06,$T_e$=17.31,$Ratio_{sat}$=5.39,$\varphi_{fl}$=0.19,$\alpha$=1.40
data

i:34, Time:From:23.90,via:24.15,to:24.40,$B_t$0.51
Azooz fit: $a_1$=+1.662e+00,$a_2$=15.68,$a_3$=+2.836e+01,$a_4$=1.36
Class fit: $I_{sat}$=1.44,$\varphi_{pl}$=-11.56,$T_e$=28.44,$Ratio_{sat}$=4.28,$\varphi_{fl}$=0.79,$\alpha$=0.43
data

i:35, Time:From:24.40,via:24.65,to:24.91,$B_t$0.51
Azooz fit: $a_1$=+2.196e+00,$a_2$=15.74,$a_3$=+3.588e+01,$a_4$=1.09
Class fit: $I_{sat}$=1.06,$\varphi_{pl}$=-14.92,$T_e$=20.27,$Ratio_{sat}$=8.39,$\varphi_{fl}$=1.82,$\alpha$=0.83
data

i:36, Time:From:24.91,via:25.16,to:25.41,$B_t$0.50
Azooz fit: $a_1$=+1.962e+00,$a_2$=6.14,$a_3$=+2.875e+01,$a_4$=0.99
Class fit: $I_{sat}$=0.85,$\varphi_{pl}$=-5.76,$T_e$=14.76,$Ratio_{sat}$=7.19,$\varphi_{fl}$=1.03,$\alpha$=0.46
data

i:37, Time:From:25.41,via:25.66,to:25.91,$B_t$0.50
Azooz fit: $a_1$=+2.017e+00,$a_2$=3.01,$a_3$=+2.355e+01,$a_4$=0.79
Class fit: $I_{sat}$=0.73,$\varphi_{pl}$=-8.49,$T_e$=14.59,$Ratio_{sat}$=9.00,$\varphi_{fl}$=1.89,$\alpha$=0.71
data

Experimental Photo

Resources

• Jupyter notebook
• Jupyter notebook python export
• Jupyter notebook html export
• Jupyter notebook pdf export

References

• Aasim Azooz: Langmuir probe data analysis code. Mathworks.