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 = 33449 # 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 = 2.5 ms
Plasma end = 13.664 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 0x7fb2bdb04a50>

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 0x7fb2c5cf83d0>

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]'),
 (2.50038848, 13.664388500000001),
 Text(0.5, 0, 'Time [ms]'),
 Text(0.5, 1.0, 'Plasma column radius #33449')]
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 = 13.663 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
2.500778 10.280275 -2.458019 74.429952
2.501778 10.103896 -2.590983 74.569185
2.502778 9.833269 -2.792882 74.777800
2.503778 9.473543 -3.016201 75.057894
2.504778 9.028939 -3.201260 75.420344
... ... ... ...
13.658780 -39.234770 48.174499 22.869898
13.659780 -39.236163 48.172446 22.870611
13.660780 -39.406632 48.191676 22.747930
13.661780 -39.688605 48.287133 22.495339
13.662780 -39.942999 48.459237 22.200790

11163 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')