Plots for erlangen

This commit is contained in:
Joschka Schöner 2022-03-14 14:33:22 +01:00
parent e3da39dd9b
commit 7d4a895dc4
4 changed files with 143 additions and 3 deletions

View File

@ -8,6 +8,8 @@ from src import coil_class as BC
HH_Coil = BC.BCoil(HH = 1, distance = 54, radius = 48, layers = 8, windings = 8, wire_height = 0.5,
wire_width = 0.5, insulation_thickness = (0.546-0.5)/2, is_round = True,
winding_scheme= 2)
print(HH_Coil.get_insulation_thickness)
HH_Coil.set_R_inner(45.6)
HH_Coil.set_d_min(2*24.075)
HH_Coil.print_info()

139
Plots_Erlangen/Plots.py Normal file
View File

@ -0,0 +1,139 @@
import numpy as np
import matplotlib.pyplot as plt
import matplotlib as mpl
from src import coil_class as BC
# %%
# % matplotlib inline
mpl.rcParams['xtick.direction'] = 'in'
mpl.rcParams['ytick.direction'] = 'in'
mpl.rcParams['xtick.top'] = True
mpl.rcParams['ytick.right'] = True
mpl.rcParams['xtick.major.size'] = 10
mpl.rcParams['xtick.major.width'] = 3
mpl.rcParams['xtick.minor.size'] = 10
mpl.rcParams['xtick.minor.width'] = 3
mpl.rcParams['ytick.major.size'] = 10
mpl.rcParams['ytick.major.width'] = 3
mpl.rcParams['ytick.minor.size'] = 10
mpl.rcParams['ytick.minor.width'] = 3
mpl.rcParams.update({'font.size': 22, 'axes.linewidth': 3, 'lines.linewidth': 3})
# %%
HH_Coil = BC.BCoil(HH=1, distance=54, radius=48, layers=8, windings=8, wire_height=0.5,
wire_width=0.5, insulation_thickness=(0.546 - 0.5) / 2, is_round=True,
winding_scheme=2)
HH_Coil.set_R_inner(45.6)
HH_Coil.set_d_min(2 * 24.075)
HH_Coil.print_info()
AHH_Coil = BC.BCoil(HH=-1, distance=54, radius=48, layers=HH_Coil.get_layers, windings=2 * HH_Coil.get_windings,
wire_height=0.5, wire_width=0.5, insulation_thickness=(0.546 - 0.5) / 2,
is_round=True, winding_scheme=2)
AHH_Coil.set_R_inner(45.6)
AHH_Coil.set_d_min(HH_Coil.get_zmax() * 2 * 1e3 + 4)
AHH_Coil.print_info()
# %%
# Calculate fields
lim = 15
x, z = np.linspace(-lim, lim, 100), np.linspace(-lim, lim, 100)
# z = np.linspace(-lim, lim, 100)
I_HH = 1
HH_B_tot_z, HH_B_tot_x = HH_Coil.B_tot_along_axis(I_HH, x, z, raster=2)
AHH_B_tot_z, AHH_B_tot_x = AHH_Coil.B_field(I_HH, x, z, raster=2)
AHH_B_grad_z, AHH_B_grad_x = BC.BCoil.grad(AHH_B_tot_z, z), BC.BCoil.grad(AHH_B_tot_x, x)
# %%
c_orange = '#FF914D'
c_blue = '#71C8F4'
c_grey = '#545454'
c_light_green = '97e144'
my_colors = {'light_green': '#97e144',
'orange': '#FF914D',
'light_grey': '#545454',
'pastel_blue': '#1b64d1',
'light_blue': '#71C8F4',
'purple': '#7c588c'}
c_field = my_colors['light_green']
c_grad = my_colors['purple']
fig, ax1 = plt.subplots(figsize=(11, 6))
ax1.set_title('Magnetic Field of inverted viewport coils', y=1.03)
ax1.set_xlabel('z-/x- axis [mm]')
ax1.set_ylabel('B-field per current [G/A]', color=c_field)
ax1.tick_params(axis='y', labelcolor=c_field)
ax1.plot(x, HH_B_tot_x, color=c_field, linestyle="dashed")
ax1.plot(z, HH_B_tot_z, color=c_field)
ax1.set_ylim(10.2, 11.01)
ax2 = ax1.twinx()
ax2.set_ylabel('Gradient per current [G/cm/A]', color=c_grad)
ax2.tick_params(axis='y', labelcolor=c_grad)
plt.plot(x, np.abs(AHH_B_grad_x), color=c_grad, linestyle="dashed")
plt.plot(z, np.abs(AHH_B_grad_z), color=c_grad)
ax2.set_ylim(2.1, 5.5)
plt.show()
# %%
I = 1
Max_field = HH_Coil.max_field(I)
def I_t_cut(time, coil, I_end, U_0):
I = U_0 / coil.resistance(22) * (1 - np.exp(- time / coil.tau()))
if I >= I_end:
I = I_end
return I
def I_current(Coil, I_0, t):
L = Coil.induct_perry()
R = Coil.resistance(22.5)
print(f"L={L}")
print(f" R= {R}")
tau = L / R
print(f" τ = {tau}")
I = I_0 * (1 - np.exp(-R / L * t))
return I
I_t_cut_vec = np.vectorize(I_t_cut)
fig, ax1 = plt.subplots(figsize=(11, 8))
ylim = (0, 11.5)
t = np.linspace(0, 0.002, 10000)
i_to_B = 10.64
fig, ax = plt.subplots(figsize = (11,7))
#fig.suptitle(f"Time response HH-coil: I_max = {I} A --> Max Field = {Max_field:.2f} G \n \n I(t) = U(t) / R * (1 - exp(- R/L * t))")
ax.set_title("Time Response Offset Coil", y = 1.05)
ax.text(0.6, 5, r'$I(t) = \frac{U(t)}{R} - \frac{L}{R} \cdot \frac{dI(t)}{dt} $', fontsize=34)
ax.plot(t * 1e3, i_to_B * I_current(HH_Coil, I, t), label=f"U(t) = 1.5 V", zorder=1, color=my_colors['pastel_blue'])
U_0 = 28
ax.plot(t * 1e3, i_to_B * I_t_cut_vec(t, HH_Coil, I, U_0), label=f"U(t) regulated via PI feedback loop", zorder=1, color=my_colors['light_green'])
plt.vlines(3.1e-2, 0, 10.64, zorder=2, linestyles=(0, (1.5, 3.06)),color=my_colors['orange'], label='t = 30 μs')
# for scaling in np.arange(2,5,0.5):
# ax.plot(t * 1e3, I_t_exp(t, HH_Coil, I, 15, scaling), label=f"Exponential decay U")
ax.set_xlabel("time [ms]")
ax.set_ylabel("Magnetic field [G]")
ax.set_ylim(ylim)
ax.set_xlim(-0.09,2)
ax.legend()
plt.show()

View File

@ -500,7 +500,6 @@ class BCoil:
# return bx_grad[len(x)//2]
def B_tot_along_axis(self, I_current, x, z, raster=10):
"""
return B_tot_z, B_tot_x

View File

@ -10,8 +10,8 @@ import numpy as np
from src import coil_class as BC
from IPython import get_ipython
get_ipython().run_line_magic('matplotlib', 'qt')
# from IPython import get_ipython
# get_ipython().run_line_magic('matplotlib', 'qt')
I = 10