Inner Stabilisation stuff

Basic info

co-authors: DanielaK, HonzaS, VojtechS

Description ...

Main result: Other results ...
In [1]:
import os
import numpy as np
import matplotlib.pyplot as plt

from scipy import integrate, signal, interpolate
import pandas as pd

import holoviews as hv
hv.extension('bokeh')
import hvplot.pandas
import requests

from IPython.display import Markdown
In [2]:
data_URL = "http://golem.fjfi.cvut.cz/shots/{shot_no}/DASs/LimiterMirnovCoils/{identifier}.csv"  #Mirnov coils and quadrupole
BDdata_URL = "http://golem.fjfi.cvut.cz/shots/{shot_no}/DASs/StandardDAS/{identifier}.csv" #BD = basic diagnostic


shot_no = 33451 # to be replaced by the actual discharge number
#shot_no = 32607 # Test High performance shot
# shot_no = 32660 # Test Low performance shot
# shot_no = 32947
vacuum_shot = 33440  # to be replaced by the discharge command line paramater "vacuum_shot"
# vacuum_shot = 32929 #number of the vacuum shot or 'False'


ds = np.DataSource(destpath='') #/tmp 
In [3]:
def open_remote(shot_no, identifier, url_template=data_URL):
    return ds.open(url_template.format(shot_no=shot_no, identifier=identifier))

def read_signal(shot_no, identifier, url = data_URL): 
    file = open_remote(shot_no, identifier, url)
    return pd.read_csv(file, names=['Time', identifier],
                     index_col = 'Time', squeeze=True)

Data integration and $B_t$ elimination

In [4]:
def elimination (shot_no, identifier, vacuum_shot = False):
    #load data 
    mc = (read_signal(shot_no, identifier))
    mc = mc.replace([np.inf, -np.inf, np.nan], value = 0)
    
    konst = 1/(3.8e-03)
    
       
    if vacuum_shot == False: 
        signal_start = mc.index[0]
        length = len(mc)
        Bt = read_signal(shot_no, 'BtCoil_integrated', BDdata_URL).loc[signal_start:signal_start+length*1e-06]
        if len(Bt)>len(mc):
            Bt = Bt.iloc[:length]            
        if len(Bt)<len(mc):
            mc = mc.iloc[:len(Bt)]
        
        if identifier == 'mc1':
            k=300
        elif identifier == 'mc5':
            k= 14
        elif identifier == 'mc9':
            k = 31
        elif identifier == 'mc13':
            k = -100 
        
        mc_vacuum = Bt/k
    else:
        mc_vacuum = (read_signal(vacuum_shot, identifier))
        mc_vacuum -= mc_vacuum.loc[:0.9e-3].mean()    #remove offset
        mc_vacuum = mc_vacuum.replace([np.inf, -np.inf, np.nan], value = 0)
        mc_vacuum = pd.Series(integrate.cumtrapz(mc_vacuum, x=mc_vacuum.index, initial=0) * konst,
                    index=mc_vacuum.index*1000, name= identifier)    #integration

    mc -= mc.loc[:0.9e-3].mean()  #remove offset
       
    mc = pd.Series(integrate.cumtrapz(mc, x=mc.index, initial=0) * konst,
                    index=mc.index*1000, name= identifier)    #integration
    
    #Bt elimination
    mc_vacuum = np.array(mc_vacuum) 
    mc_elim = mc - mc_vacuum
    
    return mc_elim

Plasma life time

In [5]:
loop_voltage = read_signal(shot_no, 'LoopVoltageCoil_raw', BDdata_URL)

dIpch = read_signal(shot_no, 'RogowskiCoil_raw', BDdata_URL)

dIpch -= dIpch.loc[:0.9e-3].mean()

Ipch = pd.Series(integrate.cumtrapz(dIpch, x=dIpch.index, initial=0) * (-5.3*1e06),
                index=dIpch.index, name='Ipch')

U_l_func = interpolate.interp1d(loop_voltage.index, loop_voltage)  
def dIch_dt(t, Ich):
    return (U_l_func(t) - 0.0097 * Ich) / (1.2e-6/2)
t_span = loop_voltage.index[[0, -1]]
solution = integrate.solve_ivp(dIch_dt, t_span, [0], t_eval=loop_voltage.index, )
Ich = pd.Series(solution.y[0], index=loop_voltage.index, name='Ich')
Ip = Ipch - Ich
Ip.name = 'Ip'

Ip_detect = Ip.loc[0.0025:]

dt = (Ip_detect.index[-1] - Ip_detect.index[0]) / (Ip_detect.index.size) 

window_length = int(0.5e-3/dt)  
if window_length % 2 == 0:  
    window_length += 1
dIp = pd.Series(signal.savgol_filter(Ip_detect, window_length, polyorder=3, deriv=1, delta=dt),
                name='dIp', index=Ip_detect.index) / 1e6 

threshold = 0.05

CD = requests.get("http://golem.fjfi.cvut.cz/shots/%i/Production/Parameters/CD_orientation" % shot_no)
CD_orientation = CD.text

if "ACW" in CD_orientation:
    plasma_start = dIp[dIp < dIp.min()*threshold].index[0]*1e3 
    plasma_end = dIp.idxmax()*1e3 
else: 
    plasma_start = dIp[dIp > dIp.max()*threshold].index[0]*1e3 
    plasma_end = dIp.idxmin()*1e3     


print ('Plasma start =', round(plasma_start, 3), 'ms')
print ('Plasma end =', round(plasma_end, 3), 'ms')
# print (CD_orientation)
Plasma start = 2.501 ms
Plasma end = 14.236 ms

Horizontal plasma position $\Delta r$ calculation

In [6]:
def horpol(shot_no, vacuum_shot=False):
    mc1 = elimination(shot_no, 'mc1', vacuum_shot)
    mc9 = elimination (shot_no, 'mc9', vacuum_shot)
    
    b = 93
    
    r = ((mc1-mc9)/(mc1+mc9))*b
    r = r.replace([np.nan], value = 0)
    
#     return r.loc[plasma_start:]
    return r.loc[plasma_start:plasma_end]
#     return r
In [7]:
r = horpol(shot_no, vacuum_shot)
ax = r.plot()
ax.set(ylim=(-85,85), xlim=(plasma_start,plasma_end), xlabel= 'Time [ms]', ylabel = '$\Delta$r [mm]', title = 'Horizontal plasma position #{}'.format(shot_no))
ax.axhline(y=0, color='k', ls='--', lw=1, alpha=0.4)
Out[7]:
<matplotlib.lines.Line2D at 0x7fa091e5c890>

Vertical plasma position $\Delta z$ calculation

In [8]:
def vertpol(shot_no, vacuum_shot = False):
    mc5 = elimination(shot_no, 'mc5', vacuum_shot)
    mc13 = elimination (shot_no, 'mc13', vacuum_shot)
    
    b = 93
    
    z = ((mc5-mc13)/(mc5+mc13))*b
    z = z.replace([np.nan], value = 0)
#     return z.loc[plasma_start:]
    return z.loc[plasma_start:plasma_end]
#     return z
In [9]:
z = vertpol (shot_no, vacuum_shot)
ax = z.plot()
ax.set(ylim=(-85, 85), xlim=(plasma_start,plasma_end), xlabel= 'Time [ms]', ylabel = '$\Delta$z [mm]', title = 'Vertical plasma position #{}'.format(shot_no))
ax.axhline(y=0, color='k', ls='--', lw=1, alpha=0.4)
Out[9]:
<matplotlib.lines.Line2D at 0x7fa05e576810>

Plasma column radius $a$ calculation

In [10]:
def plasma_radius(shot_no, vacuum_shot=False):
    r = horpol(shot_no, vacuum_shot) 
    z = vertpol(shot_no, vacuum_shot) 
    
    a0 = 85
    a = a0 - np.sqrt((r**2)+(z**2)) 
    a = a.replace([np.nan], value = 0)
#     return a.loc[plasma_start:]
    return a.loc[plasma_start:plasma_end]
#     return a
In [11]:
a = plasma_radius(shot_no,vacuum_shot)
ax = a.plot()
ax.set(ylim=(0,85), xlim=(plasma_start,plasma_end), xlabel= 'Time [ms]', ylabel = '$a$ [mm]', title = 'Plasma column radius #{}'.format(shot_no))
Out[11]:
[(0, 85),
 Text(0, 0.5, '$a$ [mm]'),
 (2.5009774399999998, 14.235977400000001),
 Text(0.5, 0, 'Time [ms]'),
 Text(0.5, 1.0, 'Plasma column radius #33451')]
In [12]:
plasma_time = []
t = 0
for i in a:
    if i>85 or i <0:
        a = a.replace(i, value = 0)
    else:

        plasma_time.append(a.index[t])

    t+=1
start = plasma_time[0]-1e-03 
end = plasma_time[-1]-1e-03 
print('start =', round(start, 3), 'ms')
print('end =', round(end, 3), 'ms')
start = 2.5 ms
end = 14.234 ms

Graphs

In [13]:
r_cut = r.loc[start:end]
a_cut = a.loc[start:end]
z_cut = z.loc[start:end]
df_processed = pd.concat(
    [r_cut.rename('r'), z_cut.rename('z'), a_cut.rename('a')], axis= 'columns')
df_processed
Out[13]:
r z a
Time
2.501093 9.927664 -9.253825 71.428273
2.502093 10.027258 -9.083257 71.470348
2.503093 10.157193 -8.875262 71.511529
2.504093 10.294117 -8.589950 71.592685
2.505093 10.418270 -8.251999 71.709558
... ... ... ...
14.230090 -26.770479 40.048489 36.828016
14.231090 -26.604733 40.043967 36.923695
14.232090 -26.549345 40.002623 36.988777
14.233090 -26.485253 39.962083 37.057986
14.234090 -26.410494 39.972575 37.090492

11734 rows × 3 columns

In [14]:
savedata = 'plasma_position_%i.csv' %shot_no 
df_processed.to_csv(savedata)

Data to download

In [15]:
Markdown("[Plasma position data - r, z, a ](./{})".format(savedata))
In [16]:
hline = hv.HLine(0)
hline.opts(
    color='k', 
    line_dash='dashed',
    alpha = 0.4,
    line_width=1.0)

layout = hv.Layout([df_processed[v].hvplot.line(
    xlabel='', ylabel=l,ylim=(-85,85), xlim=(start,end),legend=False, title='', grid=True, group_label=v)
                    for (v, l) in [('r', ' r [mm]'), ('z', 'z [mm]'), ('a', 'a [mm]')] ])*hline

plot=layout.cols(1).opts(hv.opts.Curve(width=600, height=200),  
                    hv.opts.Curve('a', xlabel='time [ms]'))
plot
Out[16]:
In [17]:
fig, axs = plt.subplots(3, 1, sharex=True, dpi=200)
r.plot(grid=True, ax=axs[0])
z.plot(grid=True, ax=axs[1])
a.plot(grid=True, ax=axs[2])
axs[2].set(ylim=(0,85), xlim=(start,end), xlabel= 'Time [ms]', ylabel = '$a$ [mm]')
axs[1].set(ylim=(-85,85), xlim=(start,end), xlabel= 'Time [ms]', ylabel = '$\Delta$z [mm]')
axs[0].set(ylim=(-85,85), xlim=(start,end), xlabel= 'Time [ms]', ylabel = '$\Delta$r [mm]', title = 'Horizontal, vertical plasma position and radius #{}'.format(shot_no))


plt.savefig('icon-fig')