Phasors

In the circuit given below, $R_1=R_2=R$, $C_1=C_2=C$, $V_1=10\angle {0}$, $V_2=V\angle {\phi}$.
  1. Derive an expression for $\phi$ in terms of $R$, $C$, and $f$ (frequency).
  2. Find the condition for $\phi=-45^{\circ}$.
  3. Plot $\phi$ versus $T\,(=R\,C)$, with $\omega = 2\,\pi \times 50$ rad/s. (Keep $C=1\,$mF, and vary $R$.)
  4. Plot $\phi$ versus $\omega$ for $R=1\,\Omega$, $C=1\,$mF.
In [1]:
from IPython.display import Image
Image(filename =r'phasor_8_fig_1.png', width=250)
Out[1]:
No description has been provided for this image
In [2]:
# run this cell to view the circuit file.
%pycat phasor_8_orig.in
In [3]:
import numpy as np
import gseim_calc as calc
import os
import dos_unix
import matplotlib.pyplot as plt 
from matplotlib.ticker import (MultipleLocator, AutoMinorLocator)
from setsize import set_size

c = 1.0e-3
s_C = "%11.4E"%c

s_f_hz = '50'
# first two args in logspace are powers of 10
# we will vary R from 0.1 ohm to 10k.
r_arr = np.logspace(-2.0, 3.0, 100, endpoint=True)

l_phi = []
l_T = []

slv = calc.slv("phasor_8_orig.in")
i_slv = 0
i_out = 0
filename = slv.l_filename_all[i_slv][i_out]
col_phi = slv.get_index(i_slv,i_out,"phase_of_V2_ac")

for r in r_arr:
    s_R = "%11.4E"%r
    l = [
      ('$R', s_R),
      ('$C', s_C),
      ('$frequency', s_f_hz),
    ]
    print('R:', s_R)
    calc.replace_strings_1("phasor_8_orig.in", "phasor_8.in", l)

    # uncomment for windows:
    #dos_unix.d2u("phasor_8.in")
    os.system('run_gseim phasor_8.in')
    print('r =', "%9.4f"%r, 'ran successfully')

    u = np.loadtxt(filename)
    phi = u[col_phi]
    l_phi.append(phi)
    l_T.append(r*c)

R:  1.0000E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0100 ran successfully
R:  1.1233E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0112 ran successfully
R:  1.2619E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0126 ran successfully
R:  1.4175E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0142 ran successfully
R:  1.5923E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0159 ran successfully
R:  1.7886E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0179 ran successfully
R:  2.0092E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0201 ran successfully
R:  2.2570E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0226 ran successfully
R:  2.5354E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0254 ran successfully
R:  2.8480E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0285 ran successfully
R:  3.1993E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0320 ran successfully
R:  3.5938E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0359 ran successfully
R:  4.0370E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0404 ran successfully
R:  4.5349E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0453 ran successfully
R:  5.0941E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0509 ran successfully
R:  5.7224E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0572 ran successfully
R:  6.4281E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0643 ran successfully
R:  7.2208E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0722 ran successfully
R:  8.1113E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0811 ran successfully
R:  9.1116E-02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.0911 ran successfully
R:  1.0235E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1024 ran successfully
R:  1.1498E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1150 ran successfully
R:  1.2915E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1292 ran successfully
R:  1.4508E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1451 ran successfully
R:  1.6298E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1630 ran successfully
R:  1.8307E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.1831 ran successfully
R:  2.0565E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.2057 ran successfully
R:  2.3101E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.2310 ran successfully
R:  2.5950E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.2595 ran successfully
R:  2.9151E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.2915 ran successfully
R:  3.2745E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.3275 ran successfully
R:  3.6784E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.3678 ran successfully
R:  4.1320E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.4132 ran successfully
R:  4.6416E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.4642 ran successfully
R:  5.2140E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.5214 ran successfully
R:  5.8570E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.5857 ran successfully
R:  6.5793E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.6579 ran successfully
R:  7.3907E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.7391 ran successfully
R:  8.3022E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.8302 ran successfully
R:  9.3260E-01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    0.9326 ran successfully
R:  1.0476E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.0476 ran successfully
R:  1.1768E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.1768 ran successfully
R:  1.3219E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.3219 ran successfully
R:  1.4850E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.4850 ran successfully
R:  1.6681E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.6681 ran successfully
R:  1.8738E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    1.8738 ran successfully
R:  2.1049E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    2.1049 ran successfully
R:  2.3645E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    2.3645 ran successfully
R:  2.6561E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    2.6561 ran successfully
R:  2.9836E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    2.9836 ran successfully
R:  3.3516E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    3.3516 ran successfully
R:  3.7649E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    3.7649 ran successfully
R:  4.2292E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    4.2292 ran successfully
R:  4.7508E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    4.7508 ran successfully
R:  5.3367E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    5.3367 ran successfully
R:  5.9948E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    5.9948 ran successfully
R:  6.7342E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    6.7342 ran successfully
R:  7.5646E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    7.5646 ran successfully
R:  8.4975E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    8.4975 ran successfully
R:  9.5455E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =    9.5455 ran successfully
R:  1.0723E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   10.7227 ran successfully
R:  1.2045E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   12.0450 ran successfully
R:  1.3530E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   13.5305 ran successfully
R:  1.5199E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   15.1991 ran successfully
R:  1.7074E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   17.0735 ran successfully
R:  1.9179E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   19.1791 ran successfully
R:  2.1544E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   21.5443 ran successfully
R:  2.4201E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   24.2013 ran successfully
R:  2.7186E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   27.1859 ran successfully
R:  3.0539E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   30.5386 ran successfully
R:  3.4305E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   34.3047 ran successfully
R:  3.8535E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   38.5353 ran successfully
R:  4.3288E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   43.2876 ran successfully
R:  4.8626E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   48.6260 ran successfully
R:  5.4623E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   54.6228 ran successfully
R:  6.1359E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   61.3591 ran successfully
R:  6.8926E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   68.9261 ran successfully
R:  7.7426E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   77.4264 ran successfully
R:  8.6975E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   86.9749 ran successfully
R:  9.7701E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =   97.7010 ran successfully
R:  1.0975E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  109.7499 ran successfully
R:  1.2328E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  123.2847 ran successfully
R:  1.3849E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  138.4886 ran successfully
R:  1.5557E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  155.5676 ran successfully
R:  1.7475E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  174.7528 ran successfully
R:  1.9630E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  196.3041 ran successfully
R:  2.2051E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  220.5131 ran successfully
R:  2.4771E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  247.7076 ran successfully
R:  2.7826E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  278.2559 ran successfully
R:  3.1257E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  312.5716 ran successfully
R:  3.5112E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  351.1192 ran successfully
R:  3.9442E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  394.4206 ran successfully
R:  4.4306E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  443.0621 ran successfully
R:  4.9770E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  497.7024 ran successfully
R:  5.5908E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  559.0810 ran successfully
R:  6.2803E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  628.0291 ran successfully
R:  7.0548E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  705.4802 ran successfully
R:  7.9248E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  792.4829 ran successfully
R:  8.9022E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r =  890.2151 ran successfully
R:  1.0000E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
r = 1000.0000 ran successfully
In [4]:
fig, ax = plt.subplots()
set_size(5.5, 3, ax)
plt.xscale('log')

plt.grid(color='#CCCCCC', linestyle='solid', linewidth=0.5)

ax.set_xlabel('$T$',fontsize=12)
ax.set_ylabel('$\phi$',fontsize=12)

ax.plot(l_T, l_phi, color="blue", linewidth=1.0)

plt.tight_layout()
plt.show()
No description has been provided for this image
In [5]:
import numpy as np
import gseim_calc as calc
import os
import dos_unix
import matplotlib.pyplot as plt 
from matplotlib.ticker import (MultipleLocator, AutoMinorLocator)
from setsize import set_size

s_C = "1m"
s_R = "1"

# first two args in logspace are powers of 10
f_hz_arr = np.logspace(0.0, 4.0, 100, endpoint=True)

l_phi = []
l_f_hz = []

slv = calc.slv("phasor_8_orig.in")
i_slv = 0
i_out = 0
filename = slv.l_filename_all[i_slv][i_out]
col_phi = slv.get_index(i_slv,i_out,"phase_of_V2_ac")

for f_hz in f_hz_arr:
    s_f_hz = "%11.4E"%f_hz
    l = [
      ('$R', s_R),
      ('$C', s_C),
      ('$frequency', s_f_hz),
    ]
    print('f_hz:', s_f_hz)
    calc.replace_strings_1("phasor_8_orig.in", "phasor_8.in", l)

    # uncomment for windows:
    #dos_unix.d2u("phasor_8.in")
    os.system('run_gseim phasor_8.in')

    u = np.loadtxt(filename)
    phi = u[col_phi]
    l_phi.append(phi)
    l_f_hz.append(f_hz)

f_hz:  1.0000E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.0975E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.2045E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.3219E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.4508E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.5923E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.7475E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.9179E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.1049E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.3101E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.5354E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.7826E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.0539E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.3516E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.6784E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.0370E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.4306E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.8626E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.3367E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.8570E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.4281E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.0548E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.7426E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  8.4975E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  9.3260E+00
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.0235E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.1233E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.2328E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.3530E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.4850E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.6298E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.7886E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.9630E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.1544E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.3645E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.5950E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.8480E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.1257E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.4305E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.7649E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.1320E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.5349E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.9770E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.4623E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.9948E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.5793E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.2208E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.9248E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  8.6975E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  9.5455E+01
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.0476E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.1498E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.2619E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.3849E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.5199E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.6681E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.8307E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.0092E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.2051E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.4201E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.6561E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.9151E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.1993E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.5112E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.8535E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.2292E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.6416E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.0941E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.5908E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.1359E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.7342E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.3907E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  8.1113E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  8.9022E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  9.7701E+02
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.0723E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.1768E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.2915E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.4175E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.5557E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.7074E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.8738E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.0565E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.2570E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.4771E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.7186E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  2.9836E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.2745E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.5938E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  3.9442E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.3288E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  4.7508E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.2140E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  5.7224E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.2803E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  6.8926E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  7.5646E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  8.3022E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  9.1116E+03
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
f_hz:  1.0000E+04
Circuit: filename = phasor_8.in
main: i_solve = 0
GSEIM: Program completed.
In [6]:
fig, ax = plt.subplots()
set_size(5.5, 3, ax)
plt.xscale('log')

plt.grid(color='#CCCCCC', linestyle='solid', linewidth=0.5)

ax.set_xlabel('$f$',fontsize=12)
ax.set_ylabel('$\phi$',fontsize=12)

ax.plot(l_f_hz, l_phi, color="blue", linewidth=1.0)

plt.tight_layout()
plt.show()
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.

In [ ]: