1-phase rectifier

For the rectifier circuit given below, determine the RMS values of the diode currents and the voltage source current. The source voltage is 220 V, 50 Hz.
In [1]:
from IPython.display import Image
Image(filename =r'rectifier_1ph_7_fig_1.png', width=400)
Out[1]:
No description has been provided for this image
In [2]:
# run this cell to view the circuit file.
%pycat rectifier_1ph_7_orig.in

We now replace the strings such as \$Idc with the values of our choice by running the python script given below. It takes an existing circuit file rectifier_1ph_7_orig.in and produces a new circuit file rectifier_1ph_7.in, after replacing \$Idc (etc) with values of our choice.

In [3]:
import gseim_calc as calc
import numpy as np
import sys

s_Idc = "10"

if float(s_Idc) < 0.0:
    print('Idc < 0 is not allowed. Halting...')
    sys.exit()

l = [
  ('$Idc', s_Idc),
]
calc.replace_strings_1("rectifier_1ph_7_orig.in", "rectifier_1ph_7.in", l)
print('rectifier_1ph_7.in is ready for execution')

rectifier_1ph_7.in is ready for execution
Execute the following cell to run GSEIM on rectifier_1ph_7.in.
In [4]:
import os
import dos_unix
# uncomment for windows:
#dos_unix.d2u("rectifier_1ph_7.in")
os.system('run_gseim rectifier_1ph_7.in')

get_lib_elements: filename gseim_aux/xbe.aux
get_lib_elements: filename gseim_aux/ebe.aux
Circuit: filename = rectifier_1ph_7.in
Circuit: n_xbeu_vr = 0
Circuit: n_ebeu_nd = 4
main: i_solve = 0
main: calling solve_trns
Transient simulation starts...
i=0
i=1000
i=2000
GSEIM: Program completed.
Out[4]:
0

The circuit file (rectifier_1ph_2.in) is created in the same directory as that used for launching Jupyter notebook. The last step (i.e., running GSEIM on rectifier_1ph_2.in) creates a data file called rectifier_1ph_2.dat in the same directory. We can now use the python code below to compute/plot the various quantities of interest.

In [5]:
import numpy as np
import matplotlib.pyplot as plt 
import gseim_calc as calc
from setsize import set_size

f_hz = 50.0
T = 1.0/f_hz

slv = calc.slv("rectifier_1ph_7.in")

i_slv = 0
i_out = 0
filename = slv.l_filename_all[i_slv][i_out]
print('filename:', filename)
u = np.loadtxt(filename)
t = u[:, 0]

col_ID1  = slv.get_index(i_slv,i_out,"ID1")
col_ID2  = slv.get_index(i_slv,i_out,"ID2")
col_V_VS = slv.get_index(i_slv,i_out,"V_VS")
col_I_VS = slv.get_index(i_slv,i_out,"I_VS")

l_ID1  = calc.avg_rms_2(t, u[:,col_ID1] , 0.0, 2.0*T, 1.0e-5*T)
l_ID2  = calc.avg_rms_2(t, u[:,col_ID2] , 0.0, 2.0*T, 1.0e-5*T)
l_I_VS = calc.avg_rms_2(t, u[:,col_I_VS], 0.0, 2.0*T, 1.0e-5*T)

t_ID1  = np.array(l_ID1[0])
t_ID2  = np.array(l_ID2[0])
t_I_VS = np.array(l_I_VS[0])

print('average value of ID1:' , "%11.4E"%l_ID1[1][0])
print('average value of ID2:' , "%11.4E"%l_ID2[1][0])
print('average value of I_VS:', "%11.4E"%l_I_VS[1][0])

print('rms value of ID1:' , "%11.4E"%l_ID1[2][0])
print('rms value of ID2:' , "%11.4E"%l_ID2[2][0])
print('rms value of I_VS:', "%11.4E"%l_I_VS[2][0])

color1 = 'blue'
color2 = 'green'
color3 = 'red'
color4 = 'dodgerblue'

fig, ax = plt.subplots(4, sharex=False)
plt.subplots_adjust(wspace=0, hspace=0.0)

set_size(5.5, 8, ax[0])

for i in range(4):
    ax[i].set_xlim(left=0.0, right=2.0*T*1e3)
    ax[i].grid(color='#CCCCCC', linestyle='solid', linewidth=0.5)

ax[0].set_ylabel(r'$V_s$'   , fontsize=12)
ax[1].set_ylabel(r'$i_{Vs}$', fontsize=12)
ax[2].set_ylabel(r'$I_{D1}$', fontsize=12)
ax[3].set_ylabel(r'$I_{D2}$', fontsize=12)

for i in range(3):
    ax[i].tick_params(labelbottom=False)

ax[0].plot(t*1e3, u[:,col_V_VS], color=color1, linewidth=1.0, label="$V_s$")
ax[1].plot(t*1e3, u[:,col_I_VS], color=color2, linewidth=1.0, label="$i_{Vs}$")
ax[2].plot(t*1e3, u[:,col_ID1] , color=color3, linewidth=1.0, label="$I_{D1}$")
ax[3].plot(t*1e3, u[:,col_ID2] , color=color4, linewidth=1.0, label="$I_{D2}$")

ax[1].plot(t_I_VS*1e3, l_I_VS[2], color=color2, linewidth=1.0, label="$I_{Vs}^{rms}$", linestyle='--', dashes=(5,3))
ax[2].plot(t_ID1*1e3 , l_ID1[2] , color=color3, linewidth=1.0, label="$I_{D1}^{rms}$", linestyle='--', dashes=(5,3))
ax[3].plot(t_ID2*1e3 , l_ID2[2] , color=color4, linewidth=1.0, label="$I_{D2}^{rms}$", linestyle='--', dashes=(5,3))

ax[3].set_xlabel('time (msec)', fontsize=11)

for k in range(1, 4):
    ax[k].legend(loc = 'lower right',frameon = True, fontsize = 10, title = None,
      markerfirst = True, markerscale = 1.0, labelspacing = 0.5, columnspacing = 2.0,
      prop = {'size' : 12},)

#plt.tight_layout()
plt.show()

filename: rectifier_1ph_7.dat
average value of ID1:  5.0000E+00
average value of ID2:  5.0000E+00
average value of I_VS: -3.3888E-11
rms value of ID1:  7.0677E+00
rms value of ID2:  7.0677E+00
rms value of I_VS:  9.9904E+00
No description has been provided for this image

This notebook was contributed by Prof. Nakul Narayanan K, Govt. Engineering College, Thrissur. He may be contacted at nakul@gectcr.ac.in.