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 = 33447 # 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 = 13.04 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 0x7f7d6b9af090>

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 0x7f7d65688410>

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]'),
 (2.5007441600000004, 13.0397442),
 Text(0.5, 0, 'Time [ms]'),
 Text(0.5, 1.0, 'Plasma column radius #33447')]
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 = 13.038 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
2.501185 24.091170 -5.592526 60.268222
2.502185 23.890307 -5.534030 60.477108
2.503185 23.696396 -5.430838 60.689237
2.504185 23.524412 -5.281098 60.890086
2.505185 23.376323 -5.130104 61.067377
... ... ... ...
13.034180 -38.480152 42.359043 27.772292
13.035180 -38.499257 42.323084 27.786049
13.036180 -38.487352 42.294002 27.815572
13.037180 -38.432695 42.274769 27.866576
13.038180 -38.383095 42.260840 27.910241

10538 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')