From dd2a0f93b3f06433c6a24c048126b995fe0ba6c0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Joschka=20Sch=C3=B6ner?= Date: Wed, 4 May 2022 20:23:47 +0200 Subject: [PATCH] Save --- Plots_Erlangen/Plots.py | 84 +++++++ Plots_Erlangen/Plots_midterm_presentation.py | 247 +++++++++++++++++++ src/coil_class.py | 3 + time_response_estimation.png | Bin 409057 -> 410746 bytes 4 files changed, 334 insertions(+) create mode 100644 Plots_Erlangen/Plots_midterm_presentation.py diff --git a/Plots_Erlangen/Plots.py b/Plots_Erlangen/Plots.py index 61280d2..ce9fc1d 100644 --- a/Plots_Erlangen/Plots.py +++ b/Plots_Erlangen/Plots.py @@ -137,3 +137,87 @@ ax.set_xlim(-0.09,2) ax.legend() plt.show() + +# %% +# Comparison different number of windings +Coil1 = 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=0) +Coil1.set_R_inner(45.6) +Coil1.set_d_min(2 * 24.075) +Coil1.print_info() + +factor = 4 +Coil2 = BC.BCoil(HH=1, distance=54, radius=48, layers=8//factor, windings=8//factor, wire_height=0.5*factor, + wire_width=0.5*factor, insulation_thickness=(0.546 - 0.5)*factor/2, is_round=True, + winding_scheme=0) +Coil2.set_R_inner(45.6) +Coil2.set_d_min(2 * 24.075) +Coil2.print_info() +Coil1.plot_raster() +Coil2.plot_raster() + + + +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(Coil1, I, t), label=f"U(t) = 1.5 V", zorder=1, color=my_colors['pastel_blue']) +ax.plot(t * 1e3, i_to_B * I_current(Coil2, I , t), label=f"U(t) = 1.5 V", zorder=1, linestyle='- -', color=my_colors['light_green']) +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() + +#%% +Coil1 = 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) +Coil1.set_R_inner(45.6) +Coil1.set_d_min(2 * 24.075) +Coil1.print_info() + +mpl.rcParams.update(mpl.rcParamsDefault) +print(f"Cross_section = {Coil1.get_cross_section()}") +fill_factor = Coil1.get_wire_area() * Coil1.get_N()/Coil1.get_cross_section() +print(f"fill_factor = {fill_factor}") +Coil1.plot_raster() \ No newline at end of file diff --git a/Plots_Erlangen/Plots_midterm_presentation.py b/Plots_Erlangen/Plots_midterm_presentation.py new file mode 100644 index 0000000..ed316fa --- /dev/null +++ b/Plots_Erlangen/Plots_midterm_presentation.py @@ -0,0 +1,247 @@ +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() + +# %% +# Comparison different number of windings +Coil1 = 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) +Coil1.set_R_inner(45.6) +Coil1.set_d_min(2 * 24.075) +Coil1.print_info() + +factor = 2 +Coil2 = BC.BCoil(HH=1, distance=54, radius=48, layers=8//factor, windings=8//factor, wire_height=0.5*factor, + wire_width=0.5*factor, insulation_thickness=(0.546 - 0.5)*factor/2, is_round=True, + winding_scheme=1) +Coil2.set_R_inner(45.6) +Coil2.set_d_min(2 * 24.075) +Coil2.print_info() + + + + +full_structure = Coil1.full_raster(100) * 1e3 +if Coil1.get_coil_width() > Coil1.get_coil_height(): + extension = Coil1.get_coil_width() +else: + extension = Coil1.get_coil_height() +extension *= 1e3 + +plt.figure(77, figsize=(8, 8)) +mpl.rcParams['font.size'] = 28 +plt.scatter(full_structure[:, :, 1], full_structure[:, :, 0], linewidths=0.001) +plt.xlabel("radius [mm]") +plt.ylabel("z position [mm]") +plt.axvline(x=Coil1.get_R_inner() * 1e3 - 0.1, lw=5, color="red") +plt.xlim(45, 50.4) +plt.ylim(23.5, 28.9) + +plt.show() + +# %% +Coil2.plot_raster() + +factor = Coil1.get_N()//Coil2.get_N() + + +I = 1 +I2 = I * factor +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 = Max_field/I +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", y = 1.05) + +# ax.text(0.4, 4, r"$ I(t) = \frac{U_{0}}{R} (1 - e^{-\frac{R}{L} t})$", fontsize=34) + +ax.plot(t * 1e3, i_to_B * I_current(Coil1, I, t), label=f"N = {Coil1.get_N()}, I$_{{end}}$ = {I} A", zorder=1, color=my_colors['pastel_blue']) +ax.plot(t * 1e3, i_to_B/factor * I_current(Coil2, I2 , t), label=f"N = {Coil2.get_N()}, I$_{{end}}$ = {I2} A", zorder=1, linestyle=(0, (4, 4)), color=my_colors['light_green']) +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() + +#%% +Coil1 = 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) +Coil1.set_R_inner(45.6) +Coil1.set_d_min(2 * 24.075) +Coil1.print_info() + +mpl.rcParams.update(mpl.rcParamsDefault) +print(f"Cross_section = {Coil1.get_cross_section()}") +fill_factor = Coil1.get_wire_area() * Coil1.get_N()/Coil1.get_cross_section() +print(f"fill_factor = {fill_factor}") +Coil1.plot_raster() \ No newline at end of file diff --git a/src/coil_class.py b/src/coil_class.py index 654d890..3af2e23 100644 --- a/src/coil_class.py +++ b/src/coil_class.py @@ -183,6 +183,9 @@ class BCoil: 2 - np.sqrt(3)) * self.get_tot_wire_width() / 2 # width is reduced due to winding offset return self.get_tot_wire_width() * self.layers + def get_cross_section(self): + return self.get_coil_height() * self.get_coil_width() + def winding_raster(self): """ generates raster of flowing currents diff --git 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