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BIN
Additional/SpiralLoop (version 1).xls
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BIN
Additional/SpiralLoop (version 1).xls
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Benchmarking/.idea/.gitignore
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vendored
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Benchmarking/.idea/.gitignore
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vendored
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# Default ignored files
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/shelf/
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/workspace.xml
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Benchmarking/.idea/Spyder.iml
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Benchmarking/.idea/Spyder.iml
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<?xml version="1.0" encoding="UTF-8"?>
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<module type="PYTHON_MODULE" version="4">
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<component name="NewModuleRootManager">
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<content url="file://$MODULE_DIR$" />
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<orderEntry type="inheritedJdk" />
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<orderEntry type="sourceFolder" forTests="false" />
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<component name="PyDocumentationSettings">
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<option name="format" value="PLAIN" />
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<option name="myDocStringFormat" value="Plain" />
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</component>
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</module>
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Benchmarking/.idea/inspectionProfiles/profiles_settings.xml
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Benchmarking/.idea/inspectionProfiles/profiles_settings.xml
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<component name="InspectionProjectProfileManager">
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<settings>
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<option name="USE_PROJECT_PROFILE" value="false" />
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<version value="1.0" />
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</settings>
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</component>
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Benchmarking/.idea/misc.xml
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Benchmarking/.idea/misc.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ProjectRootManager" version="2" project-jdk-name="Python 3.8" project-jdk-type="Python SDK" />
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</project>
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Benchmarking/.idea/modules.xml
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Benchmarking/.idea/modules.xml
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ProjectModuleManager">
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<modules>
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<module fileurl="file://$PROJECT_DIR$/.idea/Spyder.iml" filepath="$PROJECT_DIR$/.idea/Spyder.iml" />
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</modules>
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</component>
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</project>
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Benchmarking/.spyproject/config/codestyle.ini
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Benchmarking/.spyproject/config/codestyle.ini
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[codestyle]
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indentation = True
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edge_line = True
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edge_line_columns = 79
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[main]
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version = 0.2.0
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[codestyle]
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indentation = True
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edge_line = True
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edge_line_columns = 79
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[encoding]
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text_encoding = utf-8
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[vcs]
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use_version_control = False
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version_control_system =
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[workspace]
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restore_data_on_startup = True
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save_data_on_exit = True
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save_history = True
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save_non_project_files = False
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Benchmarking/.spyproject/config/encoding.ini
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Benchmarking/.spyproject/config/encoding.ini
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[encoding]
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text_encoding = utf-8
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[main]
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version = 0.2.0
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7
Benchmarking/.spyproject/config/vcs.ini
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Benchmarking/.spyproject/config/vcs.ini
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[vcs]
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use_version_control = False
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version_control_system =
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[main]
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version = 0.2.0
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Benchmarking/.spyproject/config/workspace.ini
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Benchmarking/.spyproject/config/workspace.ini
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[workspace]
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restore_data_on_startup = True
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save_data_on_exit = True
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save_history = True
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save_non_project_files = False
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[main]
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version = 0.2.0
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recent_files = ['comparison_HH_increased_resolution.py']
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Benchmarking/Simple_testing.py
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Benchmarking/Simple_testing.py
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# -*- coding: utf-8 -*-
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"""
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Created on Mon Aug 16 13:45:56 2021
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@author: Joschka
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"""
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import numpy as np
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import matplotlib_inline as plt
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x =
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Benchmarking/comparison_HH_increased_resolution.py
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Benchmarking/comparison_HH_increased_resolution.py
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# -*- coding: utf-8 -*-
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"""
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Created on Mon Aug 16 11:49:41 2021
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@author: Joschka
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"""
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import matplotlib.pyplot as plt
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import numpy as np
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from src import B_field_calculation as bf
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from src import coil_class as BC
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from IPython import get_ipython
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get_ipython().run_line_magic('matplotlib', 'qt')
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#get_ipython().run_line_magic('matplotlib', 'inline')
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#set up axis
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x_m = np.linspace(-0.05, 0.05, 51)
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z_m = np.linspace(-0.05, 0.05, 201)
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z = z_m*1e3
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x = x_m*1e3 #for plotting in mm
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#Import Values from simulation
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B_z_sim = np.loadtxt('data/B_z_HH2.txt')
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B_x_sim = np.loadtxt('data/B_x_HH2.txt')
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################# My simulation #########################
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I = 5
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HH = 1
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d_coils = 44
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R_inner = 44-3*1.7
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layers = 6
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windings = 2
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wire_width = 1.7
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wire_height = 2.6
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B_z, B_x = bf.B_multiple_raster_test(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m)
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#B_test = B_field_ideal_AHH(layers*windings,I,R_inner*1e-3,d_coils*1e-3,z_m)
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#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
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#Calculate gradients/curvature
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B_z_sim_grad = np.gradient(np.gradient(B_z_sim,z_m),z_m)/1e4
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B_x_sim_grad = np.gradient(B_x_sim,x_m)/100
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B_z_grad = np.gradient(np.gradient(B_z,z_m),z_m)/1e4
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B_x_grad = np.gradient(B_x,x_m)/100
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#Calculate relative differences in permille
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rel_diff_Bz = (B_z-B_z_sim)/B_z
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rel_diff_Bx = (B_x-B_x_sim)/B_x
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rel_diff_Bz_grad = (B_z_grad-B_z_sim_grad)/B_z_grad
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rel_diff_Bz_grad_mean = (B_z_grad-B_z_sim_grad)/np.mean(B_z_grad)
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rel_diff_Bx_grad = (B_x_grad-B_x_sim_grad)/B_x_grad
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#Plotting
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plt.figure(1,figsize=(20,18))
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plt.rcParams.update({'font.size': 15})
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plt.suptitle("Helmholtz coil field B_z along z-axis, comparison of simulations", fontsize=30)
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#Field plot
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##########################
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plt.subplot(3,2,1)
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plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
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plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
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plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
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#plt.xlim(-0.01,0.01)
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plt.title("B-field" ,fontsize = 30)
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plt.ylabel(r"$B_z$ [G]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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#############################
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plt.subplot(3,2,3)
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plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
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plt.ylabel("absolute deviation [G]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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#############################
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plt.subplot(3,2,5)
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plt.plot(z,1000*rel_diff_Bz, label = "$(B_z - B_{z, sim}) / B_z$")
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plt.ylabel("relative deviation [‰]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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######################Gradient plot############################
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################
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plt.subplot(3,2,2)
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plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
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plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
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plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
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plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
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plt.xlabel("z-axis [mm]")
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plt.title("Curvature of B-field",fontsize = 30)
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plt.legend(loc='lower right')
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#################
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plt.subplot(3,2,4)
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plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
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plt.ylabel(r"absolute deviation $[G/cm^2]$")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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#####################
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plt.subplot(3,2,6)
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plt.plot(z,1000*rel_diff_Bz_grad, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / \nabla_z^2 B_z$")
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#plt.ylim(-57,10)
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plt.ylabel("relative deviation [‰]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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plt.savefig("output/HH_benchmark_5A_6x2.pdf")
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plt.show()
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############### relative deviation with averaging by the mean not the individual value ########################################
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plt.figure(2)
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plt.plot(z,1000*rel_diff_Bz_grad_mean, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / mean(\nabla_z^2 B_z)$")
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#plt.ylim(-57,10)
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plt.ylabel("relative deviation [‰]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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plt.savefig("output/HH_benchmark_5A_6x2_rel_deviation_via_mean.pdf")
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plt.show()
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##################### x-Axis #########################################################
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plt.figure(3)
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plt.rcParams.update({'font.size': 15})
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plt.suptitle("Helmholtz coil field B_x along x-axis, comparison of simulations", fontsize=30)
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#Field plot
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##########################
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plt.plot(x,B_x,linestyle = "solid", label = r"$B_x$: Result via elliptic integrals")
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plt.plot(x,B_x_sim,linestyle = "dashdot", label = r"$B_{x, sim}$: Numerical Matlab simulation")
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plt.plot(x,(B_x-B_x_sim), label = r"$B_x - B_{x, sim}$")
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#plt.xlim(-0.01,0.01)
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plt.title("B-field" ,fontsize = 30)
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plt.ylabel(r"$B_x$ [G]")
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plt.xlabel("x-axis [mm]")
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plt.legend()
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#################
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plt.savefig("output/HH_benchmark_5A_6x2_x-axis.pdf")
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plt.show()
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# -*- coding: utf-8 -*-
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"""
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Created on Mon Aug 16 11:49:41 2021
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@author: Joschka
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"""
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import matplotlib.pyplot as plt
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import numpy as np
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import B_field_calculation as bf
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from IPython import get_ipython
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get_ipython().run_line_magic('matplotlib', 'qt')
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#get_ipython().run_line_magic('matplotlib', 'inline')
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#set up axis
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x_m = np.linspace(-0.05,0.05,51)
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z_m = np.linspace(-0.05,0.05,201)
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z_m_2 = np.linspace(-0.05,0.05,1001)
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z_2 = z_m_2*1e3
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z = z_m*1e3
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x = x_m*1e3 #for plotting in mm
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#Import Values from simulation
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B_z_sim = np.loadtxt('data/B_z_HH2.txt')
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B_x_sim = np.loadtxt('data/B_x_HH2.txt')
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################# My simulation #########################
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I = 5
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HH = 1
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d_coils = 78
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R_inner = 44-3*1.7
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layers = 6
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windings = 2
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wire_width = 1.7
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wire_height = 2.6
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B_z, B_x = bf.B_multiple_raster_test(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m_2)
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#B_test = B_field_ideal_AHH(layers*windings,I,R_inner*1e-3,d_coils*1e-3,z_m)
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#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
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#Calculate gradients/curvature
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B_z_sim_grad = np.gradient(np.gradient(B_z_sim,z_m),z_m)/1e4
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B_x_sim_grad = np.gradient(B_x_sim,x_m)/100
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B_z_grad = np.gradient(np.gradient(B_z,z_m_2),z_m_2)/1e4
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B_x_grad = np.gradient(B_x,x_m)/100
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#try plot
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plt.figure(1)
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plt.plot(z_2,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
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plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
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#plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
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#plt.xlim(-0.01,0.01)
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plt.title("B-field" ,fontsize = 30)
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plt.ylabel(r"$B_z$ [G]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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plt.show()
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plt.figure(2)
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plt.plot(z_2,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
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plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
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#plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
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plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
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plt.xlabel("z-axis [mm]")
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plt.title("Curvature of B-field",fontsize = 30)
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plt.legend(loc='lower right')
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plt.show()
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#Calculate relative differences in permille
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rel_diff_Bz = (B_z-B_z_sim)/B_z
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rel_diff_Bx = (B_x-B_x_sim)/B_x
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rel_diff_Bz_grad = (B_z_grad-B_z_sim_grad)/B_z_grad
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rel_diff_Bx_grad = (B_x_grad-B_x_sim_grad)/B_x_grad
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#Plotting
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plt.figure(figsize=(20,18))
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plt.rcParams.update({'font.size': 15})
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plt.suptitle("Helmholtz coil field B_z along z-axis, comparison of simulations", fontsize=30)
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#Field plot
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##########################
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plt.subplot(3,2,1)
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plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
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plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
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plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
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#plt.xlim(-0.01,0.01)
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plt.title("B-field" ,fontsize = 30)
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plt.ylabel(r"$B_z$ [G]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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#############################
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plt.subplot(3,2,3)
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plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
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plt.ylabel("absolute deviation [G]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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#############################
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plt.subplot(3,2,5)
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plt.plot(z,1000*rel_diff_Bz, label = "$(B_z - B_{z, sim}) / B_z$")
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plt.ylabel("relative deviation [‰]")
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plt.xlabel("z-axis [mm]")
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plt.legend()
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######################Gradient plot############################
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################
|
||||
plt.subplot(3,2,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.title("Curvature of B-field",fontsize = 30)
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
|
||||
#################
|
||||
|
||||
plt.subplot(3,2,4)
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
plt.ylabel(r"absolute deviation $[G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#####################
|
||||
plt.subplot(3,2,6)
|
||||
plt.plot(z,1000*rel_diff_Bz_grad, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / \nabla_z^2 B_z$")
|
||||
plt.ylim(-57,10)
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.show()
|
||||
@ -0,0 +1,153 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 16 11:49:41 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
import B_field_calculation as bf
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x_m = np.linspace(-0.05,0.05,51)
|
||||
z_m = np.linspace(-0.05,0.05,201)
|
||||
|
||||
z_m_2 = np.linspace(-0.05,0.05,1001)
|
||||
|
||||
z_2 = z_m_2*1e3
|
||||
|
||||
z = z_m*1e3
|
||||
x = x_m*1e3 #for plotting in mm
|
||||
|
||||
#Import Values from simulation
|
||||
B_z_sim = np.loadtxt('data/B_z_HH2.txt')
|
||||
B_x_sim = np.loadtxt('data/B_x_HH2.txt')
|
||||
|
||||
|
||||
################# My simulation #########################
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 44
|
||||
R_inner = 44-3*1.7
|
||||
|
||||
layers = 6
|
||||
windings = 2
|
||||
wire_width = 1.7
|
||||
wire_height = 2.6
|
||||
|
||||
|
||||
B_z, B_x = bf.B_multiple_raster_test(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m_2)
|
||||
#B_test = B_field_ideal_AHH(layers*windings,I,R_inner*1e-3,d_coils*1e-3,z_m)
|
||||
|
||||
#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
|
||||
|
||||
|
||||
#Calculate gradients/curvature
|
||||
B_z_sim_grad = np.gradient(np.gradient(B_z_sim,z_m),z_m)/1e4
|
||||
B_x_sim_grad = np.gradient(B_x_sim,x_m)/100
|
||||
B_z_grad = np.gradient(np.gradient(B_z,z_m_2),z_m_2)/1e4
|
||||
B_x_grad = np.gradient(B_x,x_m)/100
|
||||
|
||||
|
||||
#try plot
|
||||
plt.figure(1)
|
||||
plt.plot(z_2,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
|
||||
#plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" ,fontsize = 30)
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
plt.show()
|
||||
|
||||
plt.figure(2)
|
||||
plt.plot(z_2,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
|
||||
#plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.title("Curvature of B-field",fontsize = 30)
|
||||
plt.legend(loc='lower right')
|
||||
plt.show()
|
||||
|
||||
|
||||
#Calculate relative differences in permille
|
||||
rel_diff_Bz = (B_z-B_z_sim)/B_z
|
||||
rel_diff_Bx = (B_x-B_x_sim)/B_x
|
||||
rel_diff_Bz_grad = (B_z_grad-B_z_sim_grad)/B_z_grad
|
||||
rel_diff_Bx_grad = (B_x_grad-B_x_sim_grad)/B_x_grad
|
||||
|
||||
#Plotting
|
||||
plt.figure(figsize=(20,18))
|
||||
|
||||
plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis, comparison of simulations", fontsize=30)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(3,2,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" ,fontsize = 30)
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,3)
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
plt.ylabel("absolute deviation [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,5)
|
||||
plt.plot(z,1000*rel_diff_Bz, label = "$(B_z - B_{z, sim}) / B_z$")
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
######################Gradient plot############################
|
||||
|
||||
################
|
||||
plt.subplot(3,2,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.title("Curvature of B-field",fontsize = 30)
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
|
||||
#################
|
||||
|
||||
plt.subplot(3,2,4)
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
plt.ylabel(r"absolute deviation $[G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#####################
|
||||
plt.subplot(3,2,6)
|
||||
plt.plot(z,1000*rel_diff_Bz_grad, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / \nabla_z^2 B_z$")
|
||||
plt.ylim(-57,10)
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.show()
|
||||
126
Benchmarking/comparison_HH_normal.py
Normal file
126
Benchmarking/comparison_HH_normal.py
Normal file
@ -0,0 +1,126 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 16 11:49:41 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
import B_field_calculation as bf
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x_m = np.linspace(-0.05,0.05,51)
|
||||
z_m = np.linspace(-0.05,0.05,51)
|
||||
|
||||
|
||||
|
||||
z = z_m*1e3
|
||||
x = x_m*1e3 #for plotting in mm
|
||||
|
||||
#Import Values from simulation
|
||||
B_z_sim = np.loadtxt('data/B_z_HH.txt')
|
||||
B_x_sim = np.loadtxt('data/B_x_HH.txt')
|
||||
|
||||
|
||||
################# My simulation #########################
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 44
|
||||
R_inner = 44
|
||||
|
||||
layers = 10
|
||||
windings = 2
|
||||
wire_width = 1
|
||||
wire_height = 2.6
|
||||
|
||||
|
||||
B_z, B_x = bf.B_multiple(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m)
|
||||
#B_test = B_field_ideal_AHH(layers*windings,I,R_inner*1e-3,d_coils*1e-3,z_m)
|
||||
|
||||
#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
|
||||
|
||||
|
||||
#Calculate gradients/curvature
|
||||
B_z_sim_grad = np.gradient(np.gradient(B_z_sim,z_m),z_m)/1e4
|
||||
B_x_sim_grad = np.gradient(B_x_sim,x_m)/100
|
||||
B_z_grad = np.gradient(np.gradient(B_z,z_m),z_m)/1e4
|
||||
B_x_grad = np.gradient(B_x,x_m)/100
|
||||
|
||||
|
||||
#Calculate relative differences in permille
|
||||
rel_diff_Bz = (B_z-B_z_sim)/B_z
|
||||
rel_diff_Bx = (B_x-B_x_sim)/B_x
|
||||
rel_diff_Bz_grad = (B_z_grad-B_z_sim_grad)/B_z_grad
|
||||
rel_diff_Bx_grad = (B_x_grad-B_x_sim_grad)/B_x_grad
|
||||
|
||||
#Plotting
|
||||
plt.figure(figsize=(20,18))
|
||||
|
||||
plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis, comparison of simulations", fontsize=30)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(3,2,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" ,fontsize = 30)
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,3)
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
plt.ylabel("absolute deviation [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,5)
|
||||
plt.plot(z,1000*rel_diff_Bz, label = "$(B_z - B_{z, sim}) / B_z$")
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
######################Gradient plot############################
|
||||
|
||||
################
|
||||
plt.subplot(3,2,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.title("Curvature of B-field",fontsize = 30)
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
|
||||
#################
|
||||
|
||||
plt.subplot(3,2,4)
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
plt.ylabel(r"absolute deviation $[G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#####################
|
||||
plt.subplot(3,2,6)
|
||||
plt.plot(z,1000*rel_diff_Bz_grad, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / \nabla_z^2 B_z$")
|
||||
plt.ylim(-57,10)
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.show()
|
||||
51
Benchmarking/data/B_x.txt
Normal file
51
Benchmarking/data/B_x.txt
Normal file
@ -0,0 +1,51 @@
|
||||
2.58228909714096
|
||||
2.62974538222051
|
||||
2.65944955784724
|
||||
2.67018023408114
|
||||
2.66129310777269
|
||||
2.63274636464909
|
||||
2.58507635240118
|
||||
2.51932891811042
|
||||
2.43695775772549
|
||||
2.33970435103465
|
||||
2.22947425589503
|
||||
2.10822224575473
|
||||
1.97785501967328
|
||||
1.84015609055015
|
||||
1.69673381785331
|
||||
1.5489908693351
|
||||
1.39811178932252
|
||||
1.24506469044685
|
||||
1.09061312356843
|
||||
0.935334651061495
|
||||
0.779643326178502
|
||||
0.623814004093807
|
||||
0.468007079187523
|
||||
0.312292808736715
|
||||
0.156674829998973
|
||||
0.00111281003184087
|
||||
-0.154455601231865
|
||||
-0.310093199262038
|
||||
-0.465841648637876
|
||||
-0.621699513490636
|
||||
-0.777599570919756
|
||||
-0.933385222755551
|
||||
-1.08878604652763
|
||||
-1.24339285381046
|
||||
-1.39663306776149
|
||||
-1.54774779802038
|
||||
-1.69577266767607
|
||||
-1.83952518780893
|
||||
-1.97760218416845
|
||||
-2.1083912972814
|
||||
-2.23010067296318
|
||||
-2.34081035784062
|
||||
-2.43854734635146
|
||||
-2.52138353563691
|
||||
-2.58755212369357
|
||||
-2.63557369709183
|
||||
-2.66437927197459
|
||||
-2.67341503397356
|
||||
-2.66271358255533
|
||||
-2.63291973763518
|
||||
-2.58526513884324
|
||||
51
Benchmarking/data/B_x_HH.txt
Normal file
51
Benchmarking/data/B_x_HH.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-3.16996429106098e-16
|
||||
2.12281581202234e-16
|
||||
2.90868024110935e-16
|
||||
-1.52549847753924e-16
|
||||
-4.48460713009524e-17
|
||||
1.78201203793193e-16
|
||||
-1.79897763352699e-16
|
||||
-2.26367535827165e-16
|
||||
4.43187153642555e-17
|
||||
-2.69312350198447e-16
|
||||
2.23189522419176e-17
|
||||
-1.08999614889527e-16
|
||||
-9.00043928275807e-17
|
||||
-3.54577478489659e-17
|
||||
-2.1298587893348e-16
|
||||
-3.95274091236075e-17
|
||||
-7.6369466306403e-17
|
||||
4.99322805325164e-17
|
||||
-8.50014503228636e-18
|
||||
-3.11972669919669e-17
|
||||
-1.72431513512095e-17
|
||||
-1.660477311205e-17
|
||||
-2.46330733588707e-18
|
||||
2.02615701994091e-18
|
||||
-1.6153745008296e-17
|
||||
8.46545056276682e-19
|
||||
2.2065682614425e-17
|
||||
2.901845430614e-17
|
||||
6.85562717706034e-18
|
||||
-1.47798440153224e-17
|
||||
4.8919202022546e-17
|
||||
9.30089338879725e-17
|
||||
-8.02691246803988e-17
|
||||
3.22797344409764e-17
|
||||
-5.15143483426073e-17
|
||||
1.49547041417009e-16
|
||||
-3.49720252756924e-17
|
||||
1.31672450720544e-16
|
||||
9.14823772291129e-17
|
||||
-5.1680881796301e-17
|
||||
4.92383911421257e-17
|
||||
2.1582735598713e-16
|
||||
8.57092175010621e-17
|
||||
2.96096480667529e-16
|
||||
8.26005930321116e-17
|
||||
1.85185200507476e-16
|
||||
2.05613304160579e-16
|
||||
-1.51212375953946e-16
|
||||
-1.57651669496772e-16
|
||||
-2.41140440948584e-16
|
||||
-1.97619698383278e-17
|
||||
51
Benchmarking/data/B_x_HH1.txt
Normal file
51
Benchmarking/data/B_x_HH1.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-1.77967016123937e-16
|
||||
2.64285121565067e-16
|
||||
2.19350579366839e-16
|
||||
2.34326447134947e-16
|
||||
3.81500386836819e-17
|
||||
-2.26797747249208e-17
|
||||
-3.0069696732582e-17
|
||||
8.47620584831788e-17
|
||||
2.58543186859583e-17
|
||||
-3.27862736959617e-18
|
||||
-2.45480719085478e-16
|
||||
-3.4198685550102e-16
|
||||
4.26082780169423e-17
|
||||
5.10598507919013e-17
|
||||
-1.19383669616724e-17
|
||||
-4.75106065600528e-17
|
||||
-4.11268241684581e-17
|
||||
-2.01873240346373e-16
|
||||
-2.31967223207619e-17
|
||||
4.16680578929629e-17
|
||||
-3.89480114826313e-17
|
||||
-1.30312427515378e-17
|
||||
5.24996712769621e-17
|
||||
3.12250225675825e-19
|
||||
-1.79023462720806e-18
|
||||
-6.9111383282916e-18
|
||||
6.35602681597902e-18
|
||||
-3.19744231092045e-17
|
||||
3.92741394961149e-17
|
||||
4.92661467177413e-18
|
||||
-2.87270207621759e-17
|
||||
1.2490009027033e-18
|
||||
-7.52176099183544e-18
|
||||
-8.22675261247241e-17
|
||||
7.24420523567915e-18
|
||||
-1.27509114378199e-16
|
||||
-1.56485935320916e-16
|
||||
-1.87849735766576e-16
|
||||
7.32747196252603e-17
|
||||
1.85962356624714e-17
|
||||
4.34097202628436e-17
|
||||
-6.32827124036339e-18
|
||||
1.46660461552983e-16
|
||||
-4.40758540776187e-17
|
||||
2.40030217923959e-16
|
||||
4.31876756579186e-17
|
||||
7.31636973227978e-16
|
||||
-1.86517468137026e-16
|
||||
1.27453603226968e-16
|
||||
-1.07469588783715e-16
|
||||
6.30606677987089e-17
|
||||
51
Benchmarking/data/B_x_HH2.txt
Normal file
51
Benchmarking/data/B_x_HH2.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-1.24750904051396e-16
|
||||
2.93279289742543e-16
|
||||
2.26136817604861e-16
|
||||
3.56503021547994e-17
|
||||
-1.22107185474007e-16
|
||||
-2.02709377061794e-16
|
||||
-2.22426244089746e-17
|
||||
2.23689122780257e-16
|
||||
-1.11324144347336e-16
|
||||
-1.87964227515991e-16
|
||||
9.9704966505243e-17
|
||||
5.02584085460001e-17
|
||||
-1.34052491329584e-16
|
||||
9.60863333343553e-17
|
||||
1.57263091438153e-16
|
||||
5.76830250231808e-17
|
||||
7.78335729201274e-17
|
||||
5.30478438953708e-17
|
||||
-3.31262794972531e-17
|
||||
-7.1352646013878e-17
|
||||
3.41671135828392e-17
|
||||
-2.4980018054066e-19
|
||||
-1.02834407655905e-17
|
||||
5.13478148889135e-19
|
||||
3.49442697000768e-17
|
||||
-2.0122792321331e-18
|
||||
-1.21430643318376e-17
|
||||
-5.13478148889135e-19
|
||||
8.451572774959e-18
|
||||
1.85407245112401e-17
|
||||
2.6256774532385e-17
|
||||
4.37705427458468e-17
|
||||
2.32869279415127e-17
|
||||
-5.21527265817667e-17
|
||||
-9.9253938401489e-17
|
||||
8.98170426921752e-17
|
||||
1.01585406753202e-17
|
||||
-1.25455201782643e-17
|
||||
-9.28701560098943e-17
|
||||
-1.48658862997308e-16
|
||||
-9.35918009759007e-17
|
||||
-7.8381745538536e-17
|
||||
1.90625293328139e-16
|
||||
-2.665645482125e-16
|
||||
1.59205981731247e-16
|
||||
-1.37223565843669e-16
|
||||
2.35367281220533e-16
|
||||
1.01918473660589e-16
|
||||
9.99200722162641e-17
|
||||
7.39408534400354e-17
|
||||
-8.88178419700125e-17
|
||||
51
Benchmarking/data/B_x_x10.txt
Normal file
51
Benchmarking/data/B_x_x10.txt
Normal file
@ -0,0 +1,51 @@
|
||||
0.315870252483617
|
||||
0.255751600481404
|
||||
0.186566907419062
|
||||
0.109579894595394
|
||||
0.0265188340157648
|
||||
-0.0605131846806727
|
||||
-0.149172561144372
|
||||
-0.237039624364386
|
||||
-0.321792991214021
|
||||
-0.401371661996773
|
||||
-0.474105051893869
|
||||
-0.538797228405318
|
||||
-0.594759769626575
|
||||
-0.641795860096254
|
||||
-0.680144730243721
|
||||
-0.710399274104225
|
||||
-0.733410476873435
|
||||
-0.750190699147325
|
||||
-0.761824833391987
|
||||
-0.769394839059607
|
||||
-0.773919932063492
|
||||
-0.776312195414932
|
||||
-0.777345741324315
|
||||
-0.777636734525558
|
||||
-0.7776314177094
|
||||
-0.777599570919756
|
||||
-0.777631417709401
|
||||
-0.777636734525557
|
||||
-0.777345741324316
|
||||
-0.776312195414932
|
||||
-0.773919932063492
|
||||
-0.769394839059607
|
||||
-0.761824833391987
|
||||
-0.750190699147325
|
||||
-0.733410476873435
|
||||
-0.710399274104225
|
||||
-0.68014473024372
|
||||
-0.641795860096254
|
||||
-0.594759769626576
|
||||
-0.538797228405317
|
||||
-0.474105051893868
|
||||
-0.401371661996773
|
||||
-0.32179299121402
|
||||
-0.237039624364387
|
||||
-0.149172561144371
|
||||
-0.0605131846806727
|
||||
0.0265188340157647
|
||||
0.109579894595394
|
||||
0.186566907419063
|
||||
0.255751600481404
|
||||
0.315870252483617
|
||||
51
Benchmarking/data/B_x_x20.txt
Normal file
51
Benchmarking/data/B_x_x20.txt
Normal file
@ -0,0 +1,51 @@
|
||||
0.838336941886738
|
||||
0.704528329101358
|
||||
0.540869156075738
|
||||
0.35046355927954
|
||||
0.138717140535653
|
||||
-0.0869617178249859
|
||||
-0.317812922539589
|
||||
-0.544633260253625
|
||||
-0.758773254273728
|
||||
-0.953026552475999
|
||||
-1.12224822987221
|
||||
-1.26361615688701
|
||||
-1.37654277003895
|
||||
-1.46232024454193
|
||||
-1.52361931467383
|
||||
-1.56395876595001
|
||||
-1.58723193850584
|
||||
-1.59733657523226
|
||||
-1.59791936470777
|
||||
-1.59222336048851
|
||||
-1.58301538123973
|
||||
-1.57256834273773
|
||||
-1.56267637311523
|
||||
-1.55468543867366
|
||||
-1.5495271744476
|
||||
-1.54774779802038
|
||||
-1.5495271744476
|
||||
-1.55468543867366
|
||||
-1.56267637311523
|
||||
-1.57256834273773
|
||||
-1.58301538123973
|
||||
-1.59222336048851
|
||||
-1.59791936470777
|
||||
-1.59733657523226
|
||||
-1.58723193850584
|
||||
-1.56395876595
|
||||
-1.52361931467383
|
||||
-1.46232024454193
|
||||
-1.37654277003895
|
||||
-1.26361615688701
|
||||
-1.1222482298722
|
||||
-0.953026552475999
|
||||
-0.758773254273728
|
||||
-0.544633260253624
|
||||
-0.31781292253959
|
||||
-0.0869617178249862
|
||||
0.138717140535653
|
||||
0.350463559279539
|
||||
0.54086915607574
|
||||
0.704528329101358
|
||||
0.838336941886739
|
||||
51
Benchmarking/data/B_z.txt
Normal file
51
Benchmarking/data/B_z.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-4.48637597842307
|
||||
-4.59077060562329
|
||||
-4.67041322168728
|
||||
-4.72240325284354
|
||||
-4.74436993663005
|
||||
-4.73459770750829
|
||||
-4.69211662587652
|
||||
-4.61674838668992
|
||||
-4.50910292358247
|
||||
-4.37052591912355
|
||||
-4.20300278459966
|
||||
-4.00902903659917
|
||||
-3.79145982624433
|
||||
-3.55335235560578
|
||||
-3.29781410027413
|
||||
-3.02786751635909
|
||||
-2.74633880333963
|
||||
-2.45577492365425
|
||||
-2.15838996506787
|
||||
-1.85603942975685
|
||||
-1.55021931502741
|
||||
-1.24208591874369
|
||||
-0.932492042829694
|
||||
-0.622035500630058
|
||||
-0.311116360833961
|
||||
2.24015250793741e-16
|
||||
0.311116360833964
|
||||
0.622035500630061
|
||||
0.932492042829691
|
||||
1.24208591874369
|
||||
1.55021931502741
|
||||
1.85603942975685
|
||||
2.15838996506787
|
||||
2.45577492365425
|
||||
2.74633880333963
|
||||
3.02786751635908
|
||||
3.29781410027412
|
||||
3.55335235560578
|
||||
3.79145982624433
|
||||
4.00902903659918
|
||||
4.20300278459966
|
||||
4.37052591912355
|
||||
4.50910292358246
|
||||
4.61674838668993
|
||||
4.69211662587652
|
||||
4.73459770750829
|
||||
4.74436993663004
|
||||
4.72240325284354
|
||||
4.67041322168726
|
||||
4.59077060562329
|
||||
4.48637597842307
|
||||
51
Benchmarking/data/B_z_HH.txt
Normal file
51
Benchmarking/data/B_z_HH.txt
Normal file
@ -0,0 +1,51 @@
|
||||
10.6536698262602
|
||||
11.2355834431335
|
||||
11.8308215916294
|
||||
12.4354708668342
|
||||
13.0449371679322
|
||||
13.6539956497498
|
||||
14.256886633848
|
||||
14.8474615439352
|
||||
15.4193788084015
|
||||
15.9663442568647
|
||||
16.4823843046589
|
||||
16.9621339792356
|
||||
17.4011166569334
|
||||
17.7959893766068
|
||||
18.1447277134393
|
||||
18.446727900502
|
||||
18.7028109839925
|
||||
18.9151233996802
|
||||
19.0869390335573
|
||||
19.2223779319734
|
||||
19.3260648763817
|
||||
19.4027560509914
|
||||
19.4569636870496
|
||||
19.4926071771896
|
||||
19.5127154666301
|
||||
19.5192004530879
|
||||
19.5127154666301
|
||||
19.4926071771896
|
||||
19.4569636870496
|
||||
19.4027560509914
|
||||
19.3260648763817
|
||||
19.2223779319735
|
||||
19.0869390335574
|
||||
18.9151233996802
|
||||
18.7028109839925
|
||||
18.446727900502
|
||||
18.1447277134393
|
||||
17.7959893766068
|
||||
17.4011166569334
|
||||
16.9621339792356
|
||||
16.4823843046588
|
||||
15.9663442568647
|
||||
15.4193788084015
|
||||
14.8474615439352
|
||||
14.256886633848
|
||||
13.6539956497498
|
||||
13.0449371679322
|
||||
12.4354708668342
|
||||
11.8308215916294
|
||||
11.2355834431335
|
||||
10.6536698262602
|
||||
51
Benchmarking/data/B_z_HH1.txt
Normal file
51
Benchmarking/data/B_z_HH1.txt
Normal file
@ -0,0 +1,51 @@
|
||||
10.6538828816951
|
||||
11.2391166045421
|
||||
11.8379555109104
|
||||
12.4464506538621
|
||||
13.0599583946471
|
||||
13.6731901710357
|
||||
14.2803092432835
|
||||
14.8750786818901
|
||||
15.4510606469831
|
||||
16.0018614545581
|
||||
16.5214105175275
|
||||
17.0042548219564
|
||||
17.4458452446815
|
||||
17.842787903183
|
||||
18.1930338192903
|
||||
18.4959839616112
|
||||
18.7524940110866
|
||||
18.9647730529274
|
||||
19.1361813633915
|
||||
19.2709428334617
|
||||
19.3737958295774
|
||||
19.4496114219081
|
||||
19.503009586584
|
||||
19.5380025365883
|
||||
19.5576905341118
|
||||
19.5640303243012
|
||||
19.5576905341118
|
||||
19.5380025365883
|
||||
19.503009586584
|
||||
19.4496114219081
|
||||
19.3737958295773
|
||||
19.2709428334617
|
||||
19.1361813633914
|
||||
18.9647730529273
|
||||
18.7524940110866
|
||||
18.4959839616113
|
||||
18.1930338192903
|
||||
17.842787903183
|
||||
17.4458452446815
|
||||
17.0042548219564
|
||||
16.5214105175274
|
||||
16.0018614545581
|
||||
15.4510606469831
|
||||
14.8750786818901
|
||||
14.2803092432835
|
||||
13.6731901710357
|
||||
13.0599583946472
|
||||
12.4464506538621
|
||||
11.8379555109104
|
||||
11.2391166045421
|
||||
10.6538828816952
|
||||
201
Benchmarking/data/B_z_HH2.txt
Normal file
201
Benchmarking/data/B_z_HH2.txt
Normal file
@ -0,0 +1,201 @@
|
||||
6.35230852280449
|
||||
6.4508404083403
|
||||
6.55032694040873
|
||||
6.65073600052855
|
||||
6.75203292053272
|
||||
6.85418042559495
|
||||
6.95713858264096
|
||||
7.06086475482941
|
||||
7.16531356281123
|
||||
7.27043685349534
|
||||
7.37618367706448
|
||||
7.48250027299654
|
||||
7.58933006585217
|
||||
7.69661367158946
|
||||
7.80428891515866
|
||||
7.9122908601168
|
||||
8.02055185097904
|
||||
8.12900156899261
|
||||
8.23756710197996
|
||||
8.34617302884779
|
||||
8.45474151929828
|
||||
8.56319244921063
|
||||
8.67144353207914
|
||||
8.7794104668038
|
||||
8.88700710202646
|
||||
8.99414561709644
|
||||
9.10073671962339
|
||||
9.20668985944886
|
||||
9.31191345872284
|
||||
9.4163151576292
|
||||
9.51980207514593
|
||||
9.62228108406875
|
||||
9.72365909936482
|
||||
9.82384337875673
|
||||
9.92274183427497
|
||||
10.0202633533537
|
||||
10.1163181278882
|
||||
10.2108179895191
|
||||
10.3036767492719
|
||||
10.3948105395441
|
||||
10.4841381563195
|
||||
10.5715813993897
|
||||
10.6570654082766
|
||||
10.740518991493
|
||||
10.8218749467367
|
||||
10.9010703695959
|
||||
10.9780469483554
|
||||
11.0527512425267
|
||||
11.1251349427846
|
||||
11.1951551100819
|
||||
11.2627743918266
|
||||
11.3279612131427
|
||||
11.3906899414002
|
||||
11.4509410223839
|
||||
11.508701086677
|
||||
11.5639630250551
|
||||
11.6167260319326
|
||||
11.6669956161455
|
||||
11.7147835786247
|
||||
11.7601079567699
|
||||
11.8029929356148
|
||||
11.8434687261295
|
||||
11.8815714112786
|
||||
11.9173427607038
|
||||
11.9508300151448
|
||||
11.9820856419403
|
||||
12.0111670631667
|
||||
12.0381363581637
|
||||
12.0630599423685
|
||||
12.0860082245301
|
||||
12.1070552445024
|
||||
12.126278293915
|
||||
12.1437575220962
|
||||
12.1595755296775
|
||||
12.1738169523319
|
||||
12.1865680371067
|
||||
12.1979162137912
|
||||
12.2079496637226
|
||||
12.2167568883724
|
||||
12.2244262799889
|
||||
12.2310456964749
|
||||
12.2367020425831
|
||||
12.2414808593984
|
||||
12.2454659239598
|
||||
12.2487388607456
|
||||
12.2513787666209
|
||||
12.2534618507152
|
||||
12.2550610905695
|
||||
12.2562459057626
|
||||
12.257081850107
|
||||
12.2576303233832
|
||||
12.257948303467
|
||||
12.2580880996032
|
||||
12.2580971274749
|
||||
12.2580177066298
|
||||
12.2578868807377
|
||||
12.2577362610823
|
||||
12.2575918936138
|
||||
12.2574741498309
|
||||
12.257397641705
|
||||
12.2573711608007
|
||||
12.257397641705
|
||||
12.2574741498309
|
||||
12.2575918936137
|
||||
12.2577362610824
|
||||
12.2578868807377
|
||||
12.2580177066298
|
||||
12.2580971274749
|
||||
12.2580880996032
|
||||
12.257948303467
|
||||
12.2576303233832
|
||||
12.257081850107
|
||||
12.2562459057626
|
||||
12.2550610905695
|
||||
12.2534618507152
|
||||
12.2513787666209
|
||||
12.2487388607456
|
||||
12.2454659239598
|
||||
12.2414808593984
|
||||
12.2367020425831
|
||||
12.2310456964749
|
||||
12.2244262799889
|
||||
12.2167568883724
|
||||
12.2079496637226
|
||||
12.1979162137912
|
||||
12.1865680371067
|
||||
12.1738169523319
|
||||
12.1595755296775
|
||||
12.1437575220962
|
||||
12.126278293915
|
||||
12.1070552445024
|
||||
12.0860082245301
|
||||
12.0630599423685
|
||||
12.0381363581637
|
||||
12.0111670631667
|
||||
11.9820856419403
|
||||
11.9508300151448
|
||||
11.9173427607038
|
||||
11.8815714112786
|
||||
11.8434687261295
|
||||
11.8029929356148
|
||||
11.7601079567699
|
||||
11.7147835786247
|
||||
11.6669956161455
|
||||
11.6167260319326
|
||||
11.5639630250551
|
||||
11.508701086677
|
||||
11.4509410223839
|
||||
11.3906899414002
|
||||
11.3279612131427
|
||||
11.2627743918267
|
||||
11.1951551100818
|
||||
11.1251349427846
|
||||
11.0527512425267
|
||||
10.9780469483554
|
||||
10.9010703695959
|
||||
10.8218749467367
|
||||
10.740518991493
|
||||
10.6570654082766
|
||||
10.5715813993897
|
||||
10.4841381563195
|
||||
10.394810539544
|
||||
10.303676749272
|
||||
10.2108179895191
|
||||
10.1163181278882
|
||||
10.0202633533537
|
||||
9.92274183427498
|
||||
9.82384337875673
|
||||
9.72365909936482
|
||||
9.62228108406874
|
||||
9.51980207514592
|
||||
9.41631515762922
|
||||
9.31191345872284
|
||||
9.20668985944886
|
||||
9.10073671962338
|
||||
8.99414561709644
|
||||
8.88700710202646
|
||||
8.77941046680378
|
||||
8.67144353207915
|
||||
8.56319244921062
|
||||
8.45474151929827
|
||||
8.34617302884779
|
||||
8.23756710197996
|
||||
8.12900156899261
|
||||
8.02055185097905
|
||||
7.9122908601168
|
||||
7.80428891515865
|
||||
7.69661367158947
|
||||
7.58933006585217
|
||||
7.48250027299655
|
||||
7.37618367706448
|
||||
7.27043685349534
|
||||
7.16531356281123
|
||||
7.0608647548294
|
||||
6.95713858264096
|
||||
6.85418042559495
|
||||
6.75203292053272
|
||||
6.65073600052855
|
||||
6.55032694040873
|
||||
6.4508404083403
|
||||
6.35230852280447
|
||||
51
Benchmarking/data/B_z_x10.txt
Normal file
51
Benchmarking/data/B_z_x10.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-4.62220979364239
|
||||
-4.74863218780255
|
||||
-4.84784741265534
|
||||
-4.91588977139334
|
||||
-4.94947398459438
|
||||
-4.94621885573329
|
||||
-4.90481363458011
|
||||
-4.82510443951719
|
||||
-4.7080884377943
|
||||
-4.55581648023133
|
||||
-4.37121773974612
|
||||
-4.15786985177972
|
||||
-3.91974320619201
|
||||
-3.66094785676015
|
||||
-3.38550680956306
|
||||
-3.0971719531533
|
||||
-2.7992906009947
|
||||
-2.49472321949395
|
||||
-2.18580745356457
|
||||
-1.87436037319072
|
||||
-1.56170973764641
|
||||
-1.24874549123272
|
||||
-0.935984066240782
|
||||
-0.623639845575013
|
||||
-0.311699938210173
|
||||
3.06477065947774e-16
|
||||
0.311699938210175
|
||||
0.623639845575016
|
||||
0.935984066240784
|
||||
1.24874549123273
|
||||
1.56170973764642
|
||||
1.87436037319072
|
||||
2.18580745356457
|
||||
2.49472321949396
|
||||
2.7992906009947
|
||||
3.09717195315329
|
||||
3.38550680956306
|
||||
3.66094785676015
|
||||
3.91974320619202
|
||||
4.15786985177971
|
||||
4.37121773974612
|
||||
4.55581648023133
|
||||
4.7080884377943
|
||||
4.8251044395172
|
||||
4.90481363458011
|
||||
4.94621885573329
|
||||
4.94947398459438
|
||||
4.91588977139334
|
||||
4.84784741265535
|
||||
4.74863218780255
|
||||
4.62220979364239
|
||||
51
Benchmarking/data/B_z_x20.txt
Normal file
51
Benchmarking/data/B_z_x20.txt
Normal file
@ -0,0 +1,51 @@
|
||||
-5.05333952991992
|
||||
-5.2710697587335
|
||||
-5.4538224324177
|
||||
-5.59176900495866
|
||||
-5.67627228666901
|
||||
-5.70088154813024
|
||||
-5.66214168699473
|
||||
-5.56003717220652
|
||||
-5.39796618146884
|
||||
-5.18225073408282
|
||||
-4.92129699201981
|
||||
-4.62458945768248
|
||||
-4.30171384112198
|
||||
-3.96156065061021
|
||||
-3.61178911392315
|
||||
-3.2585583414038
|
||||
-2.90648100201777
|
||||
-2.55873130299066
|
||||
-2.21723908837497
|
||||
-1.88291554820721
|
||||
-1.55587406801886
|
||||
-1.2356261677816
|
||||
-0.921244732301142
|
||||
-0.611494601598914
|
||||
-0.304934960273855
|
||||
1.29882216093336e-16
|
||||
0.304934960273854
|
||||
0.611494601598912
|
||||
0.921244732301141
|
||||
1.23562616778161
|
||||
1.55587406801886
|
||||
1.88291554820721
|
||||
2.21723908837497
|
||||
2.55873130299066
|
||||
2.90648100201777
|
||||
3.2585583414038
|
||||
3.61178911392315
|
||||
3.96156065061021
|
||||
4.30171384112198
|
||||
4.62458945768248
|
||||
4.92129699201981
|
||||
5.18225073408281
|
||||
5.39796618146885
|
||||
5.56003717220652
|
||||
5.66214168699473
|
||||
5.70088154813023
|
||||
5.67627228666901
|
||||
5.59176900495865
|
||||
5.4538224324177
|
||||
5.27106975873349
|
||||
5.05333952991991
|
||||
BIN
Benchmarking/output/HH_benchmark_5A_6x2.pdf
Normal file
BIN
Benchmarking/output/HH_benchmark_5A_6x2.pdf
Normal file
Binary file not shown.
Binary file not shown.
BIN
Benchmarking/output/HH_benchmark_5A_6x2_x-axis.pdf
Normal file
BIN
Benchmarking/output/HH_benchmark_5A_6x2_x-axis.pdf
Normal file
Binary file not shown.
@ -0,0 +1,6 @@
|
||||
{
|
||||
"cells": [],
|
||||
"metadata": {},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 5
|
||||
}
|
||||
45
Coil_geometry/00_Simple_testing.py
Normal file
45
Coil_geometry/00_Simple_testing.py
Normal file
@ -0,0 +1,45 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Aug 31 09:28:25 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
|
||||
x = np.linspace(-10, 10, 3001)
|
||||
z = np.linspace(-10, 10, 3001)
|
||||
print(3001//2)
|
||||
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
|
||||
percentage = 0.05
|
||||
absolut = 5
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
Bz1, Bx = HH_Coil.B_multiple(5, x, z)
|
||||
|
||||
|
||||
Bz2, Bx = HH_Coil.B_multiple(5+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print(" ")
|
||||
|
||||
percentage = 0 #.02
|
||||
absolut = 2
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
|
||||
|
||||
Bz2, Bx = HH_Coil.B_multiple(5+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print((Bz2[1500]-Bz1[1500])/Bz2[1500])
|
||||
|
||||
#Power = cs.rho_copper_20 *wire_length* I_current**2 /(self.get_wire_area())
|
||||
151
Coil_geometry/01_geometry_HH.py
Normal file
151
Coil_geometry/01_geometry_HH.py
Normal file
@ -0,0 +1,151 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 301)
|
||||
z = np.linspace(-50, 50, 301)
|
||||
|
||||
|
||||
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 44
|
||||
R_mid = 44
|
||||
|
||||
|
||||
layers = 6
|
||||
windings = 2
|
||||
wire_width = 1.7
|
||||
wire_height = 2.6
|
||||
|
||||
|
||||
#reference coil
|
||||
HH_Coil_44 = BC.BCoil(HH, 44 ,44, 6, 2, wire_width = 1.7, wire_height= 2.6)
|
||||
|
||||
|
||||
#Coil from first sketch
|
||||
HH_Coil_y = BC.BCoil(HH, 55.2 ,44, 6, 2, wire_width = 1.7, wire_height= 2.6)
|
||||
B_z_y, B_x_y = HH_Coil_y.B_multiple(6.5,x,z)
|
||||
B_z_y_curv = BC.BCoil.curv(B_z_y, z)
|
||||
|
||||
d_coils_2 = 55.2
|
||||
|
||||
#New coil
|
||||
HH_Coil_54 = BC.BCoil(HH, 54 ,48.8, 4, 4, 1,1)
|
||||
|
||||
HH_Coil_54.cooling(5)
|
||||
|
||||
#Compensation Coil
|
||||
HH_Coil_78 = BC.BCoil(1,54,37,4, 4, 1,1)
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH(I,x,z)
|
||||
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
|
||||
|
||||
B_z, B_x = HH_Coil_44.B_multiple(I,x,z)
|
||||
B_z_2, B_x_2 = HH_Coil_54.B_multiple(I,x,z)
|
||||
|
||||
B_z_3,B_x_3 = HH_Coil_78.B_multiple(-0.72,x,z)
|
||||
|
||||
|
||||
|
||||
B_z_curvature = np.gradient(np.gradient(B_z,z),z)*1e2
|
||||
B_z_curvature_2 = BC.BCoil.curv(B_z_2, z)
|
||||
|
||||
B_z_curv_3 = BC.BCoil.curv(B_z_3, z)
|
||||
|
||||
B_tot = B_z_2 + B_z_3
|
||||
|
||||
B_tot_curv = BC.BCoil.curv(B_tot, z)
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis, comparison to field yesterday")
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z_y,linestyle = "solid", label = r"$B_{sketch}$, B-field according to current solidworks sketch, d = 55.2 mm, R = 44 mm, 6 x 2")
|
||||
plt.plot(z,B_z_2,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_y_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{sketch}$, d = 55.2 mm, R = 44 mm, 6 x 2")
|
||||
plt.plot(z,B_z_curvature_2,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
#plt.plot(z,B_z_curv_3,linestyle = "solid", label = r"$\nabla_z^2 B_{z,2}$, d = 54 mm, R = 37 mm, I = -0.7 A")
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
plt.figure(200,figsize=(15,13))
|
||||
|
||||
plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis")
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
plt.plot(z,B_z_2,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
plt.plot(z,B_z_3,linestyle = "solid", label = r"$B_{z,2}$, d = 54 mm, R = 37 mm, I = -0.7 A, 4 x 4")
|
||||
plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curvature,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
plt.plot(z,B_z_curvature_2,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
plt.plot(z,B_z_curv_3,linestyle = "solid", label = r"$\nabla_z^2 B_{z,2}$, d = 54 mm, R = 37 mm, I = -0.7 A")
|
||||
plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
plt.close()
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
@ -0,0 +1,63 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 300)
|
||||
z = np.linspace(-50, 50, 301)
|
||||
|
||||
|
||||
|
||||
HH_Coil_78 = BC.BCoil(-1,54,37,4, 4, 1,1)
|
||||
|
||||
|
||||
|
||||
B_z,B_x = HH_Coil_78.B_multiple(1,x,z)
|
||||
|
||||
#B_x = np.concatenate((-np.flip(B_x),B_x))
|
||||
#x = np.concatenate((-np.flip(r),r))
|
||||
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
#plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Anti Helmholtz coil field, I = 1 A, d = 54 mm, R = 37 mm ", fontsize = 30)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$, d = 54 mm, R = 37 mm")
|
||||
plt.plot(x,B_x, label = r"$B_x$, d = 54 mm, R = 37 mm")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_z$, d = 54 mm, R = 37 mm")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_x$, d = 54 mm, R = 37 mm")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
|
||||
plt.show()
|
||||
59
Coil_geometry/04_Iterative_Testing.py
Normal file
59
Coil_geometry/04_Iterative_Testing.py
Normal file
@ -0,0 +1,59 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Aug 24 16:24:52 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
x = np.linspace(-1, 1, 11)
|
||||
z = np.linspace(-1, 1, 11)
|
||||
|
||||
I_current = 5*16
|
||||
|
||||
HH_Coil = HH_Coil_comp = BC.BCoil(HH = 1, distance = 54 ,radius = 37,layers = 1, windings = 1,wire_width = 8, wire_height = 8)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
HH_Coil.print_info()
|
||||
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 50)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current,30)
|
||||
print(f"B_z(0) = {Bz[1]:.2f} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[1]:.4f} G/cm^2")
|
||||
|
||||
B = []
|
||||
Curv = []
|
||||
array_width = np.arange(0.2,11,0.1)
|
||||
#array_width = [5.7]
|
||||
for width in array_width:
|
||||
height = 20/width
|
||||
HH_Coil = HH_Coil_comp = BC.BCoil(HH = 1, distance = 54 ,radius = 37,layers = 1, windings = 1,wire_width = width, wire_height = height)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
#HH_Coil.print_info()
|
||||
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 30)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current,30)
|
||||
B.append(Bz[5])
|
||||
Curv.append(Bz_curv[5])
|
||||
print(f"width = {width}mm, height = {height}mm")
|
||||
print(f"B_z(0) = {Bz[5]:.2f} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[5]:.4f} G/cm^2")
|
||||
|
||||
plt.plot(array_width,Curv)
|
||||
#plt.plot(array_width,B)
|
||||
plt.ylabel("curvature")
|
||||
plt.xlabel("total width [mm]")
|
||||
plt.show()
|
||||
|
||||
120
Coil_geometry/05_try_diff_geometry_HH1.py
Normal file
120
Coil_geometry/05_try_diff_geometry_HH1.py
Normal file
@ -0,0 +1,120 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-15, 15, 30000)
|
||||
z = np.linspace(-15, 15, 30000)
|
||||
|
||||
#New coil
|
||||
I_current = 5
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
|
||||
HH_Coil.print_info()
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current)
|
||||
|
||||
print(f"B_z(0) = {Bz[150]:.2f} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[150]:.4f} G/cm^2")
|
||||
|
||||
|
||||
print(x[500])
|
||||
|
||||
# I_current = 5*16
|
||||
# HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 1, windings = 1, wire_height = 10, wire_width = 6)
|
||||
# HH_Coil.set_R_outer(49.3)
|
||||
# HH_Coil.set_d_min(49.8)
|
||||
|
||||
# HH_Coil.print_info()
|
||||
# Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 50)
|
||||
# Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
# HH_Coil.cooling(I_current)
|
||||
|
||||
# print(f"B_z(0) = {Bz[150]:.2f} G")
|
||||
# print(f"B_z_curvature(0) = {Bz_curv[150]:.4f} G/cm^2")
|
||||
|
||||
|
||||
|
||||
#Compensation Coil
|
||||
HH_Coil_comp = BC.BCoil(HH = 1, distance = 54 ,radius = 37, layers = 4, windings = 4,wire_height = 1, wire_width = 1)
|
||||
|
||||
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH(I,x,z)
|
||||
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
|
||||
I_HH = 5
|
||||
I_comp = -1.4
|
||||
|
||||
#calculate field
|
||||
B_z, B_x = HH_Coil.B_multiple(I_HH,x,z)
|
||||
B_z_comp,B_x_comp = HH_Coil_comp.B_multiple(I_comp,x,z)
|
||||
|
||||
#Calculate curvature
|
||||
B_z_curv = BC.BCoil.curv(B_z, z)
|
||||
B_z_comp_curv = BC.BCoil.curv(B_z_comp, z)
|
||||
|
||||
|
||||
B_tot = B_z + B_z_comp
|
||||
|
||||
B_tot_curv = BC.BCoil.curv(B_tot, z)
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
94
Coil_geometry/06_only_geometry_AHH.py
Normal file
94
Coil_geometry/06_only_geometry_AHH.py
Normal file
@ -0,0 +1,94 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 301)
|
||||
z = np.linspace(-50, 50, 301)
|
||||
|
||||
|
||||
|
||||
AHH_Coil = BC.BCoil(-1,54,37,4, 4, 1,1)
|
||||
|
||||
AHH_Coil.set_R_outer(49.3)
|
||||
|
||||
#AHH_Coil.print_info()
|
||||
|
||||
#B_z,B_x = AHH_Coil.B_multiple(1,x,z)
|
||||
|
||||
#B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
#B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
plt.figure(1,figsize=(10,13))
|
||||
#plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Anti Helmholtz coil field, I = 2 A, d = 82 mm, R_inner = 46.3 mm ", fontsize = 13)
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
|
||||
d=82
|
||||
AHH_Coil = BC.BCoil(-1,d,47.3,4, 4, 1,1)
|
||||
|
||||
#AHH_Coil.set_R_outer(49.3)
|
||||
|
||||
AHH_Coil.print_info()
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(10)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(10,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
plt.subplot(2,1,1)
|
||||
|
||||
plt.plot(z,B_z,linestyle = "solid", label = f"$B_z$, d = {d} mm")
|
||||
plt.plot(x,B_x, label = f"$B_x$, d = {d} mm")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
#plt.ylim(-0.5,0.4)
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_z$")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_x$")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
#AHH_Coil.plot_3d(2, 80, 80)
|
||||
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
|
||||
|
||||
114
Coil_geometry/07_02_testing B_tot.py
Normal file
114
Coil_geometry/07_02_testing B_tot.py
Normal file
@ -0,0 +1,114 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
axis = 30001 #30001 for -15 to 15 = 1μm
|
||||
x = np.linspace(-15, 15, axis)
|
||||
z = np.linspace(-15, 15, axis)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 5
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1, windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
|
||||
HH_Coil.print_info()
|
||||
#Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
B_tot_z, B_tot_x = HH_Coil.B_tot_along_axis(I_current, x, z,raster = 8)
|
||||
|
||||
Bz_curv = BC.BCoil.curv(B_tot_z, z)
|
||||
Bx_curv = BC.BCoil.curv(B_tot_x, x)
|
||||
HH_Coil.cooling(I_current,25)
|
||||
|
||||
B_0 = B_tot_z[axis//2]
|
||||
print(f"B_tot(0,0) = {B_0} G")
|
||||
print(f"B_tot_x = {B_tot_x[15000]}")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[axis//2]:.5f} G/cm^2")
|
||||
print(f"B_x_curvature(0) = {Bx_curv[axis//2]:.5f} G/cm^2")
|
||||
print("")
|
||||
print("Differences along z-axis:")
|
||||
|
||||
print(f"B_tot_z(1 μm) = {B_tot_z[15001]}")
|
||||
print(f"B_tot_z(1 mm) = {B_tot_z[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {B_tot_z[15001] - B_0}, relative: {(B_tot_z[15001] - B_0)/B_0}")
|
||||
|
||||
print(f"Diff B 1 mm: {B_tot_z[16000] - B_0}, relative: {(B_tot_z[16000] - B_0)/B_0}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {B_tot_z[15500] - B_0}, relative: {(B_tot_z[15500] - B_0)/B_0}")
|
||||
print(" ")
|
||||
|
||||
print("Differences along x-axis:")
|
||||
print(f"B_tot_x(1 μm) = {B_tot_x[15001]}")
|
||||
print(f"B_tot_x(1 mm) = {B_tot_x[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {B_tot_x[15001] - B_0}, relative: {(B_tot_x[15001] - B_0)/B_0}")
|
||||
|
||||
print(f"Diff B 1 mm: {B_tot_x[16000] - B_0}, relative: {(B_tot_x[16000] - B_0)/B_0}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {B_tot_x[15500] - B_0}, relative: {(B_tot_x[15500] - B_0)/B_0}")
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
#plt.plot(z,B_totz,linestyle = "solid", label = r"$B_z along z-axis")
|
||||
#plt.plot(x,Bx,label = "B_x along x")
|
||||
plt.plot(z,B_tot_z, label = "New B_tot along z-axis")
|
||||
plt.plot(x,B_tot_x, label = "B_tot along x-axis")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,Bz_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
plt.plot(x,Bx_curv,label = "B_x_curv")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
86
Coil_geometry/08_plotting_07_HH_without_comp1.py
Normal file
86
Coil_geometry/08_plotting_07_HH_without_comp1.py
Normal file
@ -0,0 +1,86 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 3001)
|
||||
z = np.linspace(-50, 50, 3001)
|
||||
|
||||
#New coil
|
||||
I_current = 5
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
|
||||
HH_Coil.print_info()
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current)
|
||||
|
||||
|
||||
I_HH = 5
|
||||
|
||||
#calculate field
|
||||
B_z, B_x = HH_Coil.B_multiple(I_HH,x,z)
|
||||
|
||||
#Calculate curvature
|
||||
B_z_curv = BC.BCoil.curv(B_z, z)
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
108
Coil_geometry/09_geometry_HH_check_other_axis.py
Normal file
108
Coil_geometry/09_geometry_HH_check_other_axis.py
Normal file
@ -0,0 +1,108 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.arange(-50, 50, 0.5)
|
||||
print(len(x)//2)
|
||||
z = np.arange(-50, 50, 0.5)
|
||||
|
||||
#New coil
|
||||
I_current = 5
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
|
||||
HH_Coil.print_info()
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 4)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
|
||||
B = HH_Coil.B_multiple_3d(I_current, x, z,raster = 2)
|
||||
B_tot = BC.BCoil.B_tot_3d(B)
|
||||
|
||||
HH_Coil.cooling(I_current)
|
||||
|
||||
HH_Coil.plot_3d(I_current, 80, 80)
|
||||
"""
|
||||
print(f"B_z(0) = {Bz[15000]} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[15000]:.4f} G/cm^2")
|
||||
|
||||
|
||||
print(f"B_z(1 μm) = {Bz[15001]}")
|
||||
print(f"B_z(1 mm) = {Bz[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {Bz[15001] - Bz[15000]}, relative: {(Bz[15001] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[16000] - Bz[15000]}, relative: {(Bz[16000] - Bz[15000])/Bz[15000]}")
|
||||
"""
|
||||
|
||||
I_HH = 5
|
||||
|
||||
#calculate field
|
||||
B_z, B_x = HH_Coil.B_multiple(I_HH,x,z)
|
||||
|
||||
#Calculate curvature
|
||||
B_z_curv = BC.BCoil.curv(B_z, z)
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
plt.plot(z,B_tot[:,len(x)//2], label = "B_tot_z")
|
||||
plt.plot(x,B_x,label = "B_x")
|
||||
plt.plot(x,B_tot[len(z)//2,:],label = "B_tot_x")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
102
Coil_geometry/10_comparison_Ilzh_small-bias.py
Normal file
102
Coil_geometry/10_comparison_Ilzh_small-bias.py
Normal file
@ -0,0 +1,102 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-15, 15, 30001)
|
||||
z = np.linspace(-15, 15, 30001)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 10
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 70 ,radius = 40.5 , layers = 1, windings = 1, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_inner(40.5)
|
||||
|
||||
|
||||
HH_Coil.print_info()
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current)
|
||||
|
||||
print(f"B_z(0) = {Bz[15000]} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[15000]:.4f} G/cm^2")
|
||||
|
||||
|
||||
print(f"B_z(1 μm) = {Bz[15001]}")
|
||||
print(f"B_z(1 mm) = {Bz[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {Bz[15001] - Bz[15000]}, relative: {(Bz[15001] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[16000] - Bz[15000]}, relative: {(Bz[16000] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {Bz[15500] - Bz[15000]}, relative: {(Bz[15500] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
I_HH = 5
|
||||
|
||||
#calculate field
|
||||
B_z, B_x = HH_Coil.B_multiple(I_HH,x,z)
|
||||
|
||||
#Calculate curvature
|
||||
B_z_curv = BC.BCoil.curv(B_z, z)
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
99
Coil_geometry/11_Final_HH.py
Normal file
99
Coil_geometry/11_Final_HH.py
Normal file
@ -0,0 +1,99 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-15, 15, 30001)
|
||||
z = np.linspace(-15, 15, 30001)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 10
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 2, wire_height = 2, wire_width = 1, windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_inner(44.5)
|
||||
HH_Coil.set_d_min(48.8)
|
||||
print(f"height = {HH_Coil.get_coil_height()}")
|
||||
HH_Coil.print_info()
|
||||
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
|
||||
B_tot_z, B_tot_x = HH_Coil.B_multiple(I_current, x, z,raster = 10)
|
||||
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current,28)
|
||||
|
||||
print(f"B_z(0) = {Bz[15000]} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[15000]:.10f} G/cm^2")
|
||||
|
||||
|
||||
print(f"B_z(1 μm) = {Bz[15001]}")
|
||||
print(f"B_z(1 mm) = {Bz[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {Bz[15001] - Bz[15000]}, relative: {(Bz[15001] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[16000] - Bz[15000]}, relative: {(Bz[16000] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {Bz[15500] - Bz[15000]}, relative: {(Bz[15500] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,Bz,linestyle = "solid", label = r"$B_z along z-axis")
|
||||
plt.plot(z,B_tot_z, linestyle = "dashed", label = "New B_tot along z-axis")
|
||||
#plt.plot(x,B_tot_x, label = "B_tot along x-axis")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,Bz_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
89
Coil_geometry/12_Final_Plotting.py
Normal file
89
Coil_geometry/12_Final_Plotting.py
Normal file
@ -0,0 +1,89 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
axis = 3001 #30001 for -15 to 15 = 1μm
|
||||
x = np.linspace(-5, 5, axis)
|
||||
z = np.linspace(-5, 5, axis)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 10
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 2, wire_height = 2, wire_width = 1, windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_inner(44.5)
|
||||
HH_Coil.set_d_min(48.8)
|
||||
|
||||
print(HH_Coil.resistance(22))
|
||||
print(HH_Coil.induct_perry())
|
||||
|
||||
HH_Coil.print_info()
|
||||
#Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
B_tot_z, B_tot_x = HH_Coil.B_tot_along_axis(I_current, x, z,raster = 8)
|
||||
|
||||
Bz_curv = BC.BCoil.curv(B_tot_z, z)
|
||||
Bx_curv = BC.BCoil.curv(B_tot_x, x)
|
||||
|
||||
B_0 = B_tot_z[axis//2]
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
#plt.plot(z,B_totz,linestyle = "solid", label = r"$B_z along z-axis")
|
||||
#plt.plot(x,Bx,label = "B_x along x")
|
||||
plt.plot(z,B_tot_z, label = r"$B_{{tot}}$ along z-axis")
|
||||
plt.plot(x,B_tot_x, label = r"$B_{{tot}}$ along x-axis")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z / x -axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,Bz_curv,linestyle = "solid", label = r"$B_{curvature}$ along z-axis")
|
||||
plt.plot(x,Bx_curv,label = r"$B_{curvature}$ along x-axis")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_{z,x}^2 B_tot [G/cm^2]$")
|
||||
plt.xlabel("z / x -axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
147
Coil_geometry/Untitled.ipynb
Normal file
147
Coil_geometry/Untitled.ipynb
Normal file
File diff suppressed because one or more lines are too long
BIN
Coil_geometry/output/AHH_field.pdf
Normal file
BIN
Coil_geometry/output/AHH_field.pdf
Normal file
Binary file not shown.
BIN
Coil_geometry/output/first_compensation_idea.png
Normal file
BIN
Coil_geometry/output/first_compensation_idea.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 132 KiB |
BIN
Coil_geometry/output/gradient_field_of_compensation_coil.pdf
Normal file
BIN
Coil_geometry/output/gradient_field_of_compensation_coil.pdf
Normal file
Binary file not shown.
@ -0,0 +1,6 @@
|
||||
{
|
||||
"cells": [],
|
||||
"metadata": {},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 5
|
||||
}
|
||||
45
Coil_geometry_AHH/00_Simple_testing.py
Normal file
45
Coil_geometry_AHH/00_Simple_testing.py
Normal file
@ -0,0 +1,45 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Aug 31 09:28:25 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
print(10/2.7)
|
||||
|
||||
x = np.linspace(-10, 10, 3001)
|
||||
z = np.linspace(-10, 10, 3001)
|
||||
print(3001//2)
|
||||
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
|
||||
percentage = 0.05
|
||||
absolut = 5
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
Bz1, Bx = HH_Coil.B_multiple(5, x, z)
|
||||
|
||||
|
||||
Bz2, Bx = HH_Coil.B_multiple(5+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print(" ")
|
||||
|
||||
percentage = 0 #.02
|
||||
absolut = 2
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
|
||||
|
||||
Bz2, Bx = HH_Coil.B_multiple(5+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print((Bz2[1500]-Bz1[1500])/Bz2[1500])
|
||||
|
||||
#Power = cs.rho_copper_20 *wire_length* I_current**2 /(self.get_wire_area())
|
||||
92
Coil_geometry_AHH/01_geometry_fixed_AHH.py
Normal file
92
Coil_geometry_AHH/01_geometry_fixed_AHH.py
Normal file
@ -0,0 +1,92 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 10001)
|
||||
z = np.linspace(-50, 50, 10001)
|
||||
|
||||
|
||||
|
||||
d=82
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 47.3 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
AHH_Coil.set_R_inner(44.5)
|
||||
print(f"height = {AHH_Coil.get_coil_height()*1e3}mm")
|
||||
#AHH_Coil.set_R_outer(49.3)
|
||||
I = 10
|
||||
AHH_Coil.print_info()
|
||||
R = AHH_Coil.resistance(30)
|
||||
print(f"R = {R} ")
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(I,30)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
lim = 7000
|
||||
B_0 = B_z_grad[5000]
|
||||
print((B_0- B_z_grad[6700]))
|
||||
print((B_0- B_z_grad[6700])/B_0)
|
||||
|
||||
|
||||
plt.subplot(2,1,1)
|
||||
|
||||
plt.plot(z,B_z,linestyle = "solid", label = f"$B_z$, d = {d} mm")
|
||||
plt.plot(z,B_tot_z, label = "B_tot_z")
|
||||
plt.plot(x,B_x, label = f"$B_x$, d = {d} mm")
|
||||
plt.plot(z,B_tot_x, label = "B_tot_x")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
#plt.ylim(-0.5,0.4)
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_z$")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_x$")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
|
||||
#AHH_Coil.plot_3d(I, 80, 80)
|
||||
#print(B_z_grad[1500])
|
||||
#print(2*B_x_grad[1500])
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
|
||||
|
||||
130
Coil_geometry_AHH/02_geometry_fixed_search_distance_plots.py
Normal file
130
Coil_geometry_AHH/02_geometry_fixed_search_distance_plots.py
Normal file
@ -0,0 +1,130 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 1001)
|
||||
z = np.linspace(-50, 50, 1001)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
|
||||
d=82
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
AHH_Coil.set_R_inner(44.5)
|
||||
|
||||
I = 10
|
||||
AHH_Coil.print_info()
|
||||
R = AHH_Coil.resistance(30)
|
||||
print(f"R = {R} ")
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(I,30)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
# lim = 7000
|
||||
# B_0 = B_z_grad[5000]
|
||||
# print((B_0- B_z_grad[6700]))
|
||||
# print((B_0- B_z_grad[6700])/B_0)
|
||||
|
||||
distance = np.arange(80,95,2)
|
||||
|
||||
for d in distance:
|
||||
print(d)
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
B_z_curv = BC.BCoil.Bgrad(B_z_grad, z)
|
||||
B_x_curv = BC.BCoil.Bgrad(B_z_grad, z)
|
||||
|
||||
B_z_3rd = BC.BCoil.Bgrad(B_z_curv, z)
|
||||
B_x_3rd = BC.BCoil.Bgrad(B_z_curv, z)
|
||||
|
||||
|
||||
plt.subplot(2,2,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = f"d = {d} mm")
|
||||
#plt.plot(x,B_x, label = f"$B_x$, d = {d} mm")
|
||||
|
||||
plt.title("B-field" )
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,2,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = f"$d = {d} mm")
|
||||
#plt.plot(x,B_x_grad,linestyle = "solid", label = f"$Grad_x B_x$, d = {d} mm")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,2,3)
|
||||
plt.title("Curvature")
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = f"$ d = {d} mm")
|
||||
#plt.plot(x,B_x_curv, label = f"Curv. $B_x$, d = {d} mm")
|
||||
|
||||
plt.title("B-field" )
|
||||
plt.ylabel(r"$B$ [G/cm^2]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,2,4)
|
||||
plt.title("3rd derivative")
|
||||
plt.plot(z,B_z_3rd,linestyle = "dashed", label = f"d = {d} mm")
|
||||
plt.plot(x,B_x_3rd, label = f"3rd der. $B_x$, d = {d} mm")
|
||||
|
||||
plt.ylabel(r"$B$ [G/cm^3]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
#plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
|
||||
#AHH_Coil.plot_3d(I, 80, 80)
|
||||
#print(B_z_grad[1500])
|
||||
#print(2*B_x_grad[1500])
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
|
||||
|
||||
@ -0,0 +1,66 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
res = 1001
|
||||
zr = res//2
|
||||
x = np.linspace(-5, 5, res)
|
||||
z = np.linspace(-5, 5, res)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
|
||||
|
||||
I = 10
|
||||
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = 81.8 ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
AHH_Coil.print_info()
|
||||
AHH_Coil.cooling(I, 30)
|
||||
print(f"R (30 degree C)= {AHH_Coil.resistance(30)}")
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
B_z_curv = BC.BCoil.Bgrad(B_z_grad, z)
|
||||
B_x_curv = BC.BCoil.Bgrad(B_z_grad, z)
|
||||
|
||||
B_z_3rd = BC.BCoil.Bgrad(B_z_curv, z)
|
||||
B_x_3rd = BC.BCoil.Bgrad(B_z_curv, z)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
|
||||
|
||||
103
Coil_geometry_AHH/04_final_AHH_coil.py
Normal file
103
Coil_geometry_AHH/04_final_AHH_coil.py
Normal file
@ -0,0 +1,103 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 10001)
|
||||
z = np.linspace(-50, 50, 10001)
|
||||
|
||||
|
||||
|
||||
d=81.8
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
print(AHH_Coil.power(10, 25))
|
||||
|
||||
h =AHH_Coil.get_coil_height()
|
||||
w = AHH_Coil.get_coil_width()
|
||||
|
||||
vert_surf = h * 46.875*1e-3 *2 *np.pi
|
||||
hor_surf = np.pi*(AHH_Coil.get_R_outer()**2-AHH_Coil.get_R_inner()**2)
|
||||
|
||||
tot = 2*vert_surf + 2*hor_surf
|
||||
print(f"Surface area = {tot}")
|
||||
|
||||
print(AHH_Coil.get_coil_height())
|
||||
print(AHH_Coil.get_coil_width())
|
||||
|
||||
I = 10
|
||||
AHH_Coil.print_info()
|
||||
R = AHH_Coil.resistance(30)
|
||||
print(f"R = {R} ")
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(I,30)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
lim = 7000
|
||||
B_0 = B_z_grad[5000]
|
||||
print((B_0- B_z_grad[6700]))
|
||||
print((B_0- B_z_grad[6700])/B_0)
|
||||
|
||||
|
||||
plt.subplot(2,1,1)
|
||||
|
||||
plt.plot(z,B_z,linestyle = "solid", label = f"$B_z$, d = {d} mm")
|
||||
#plt.plot(z,B_tot_z, label = "B_tot_z")
|
||||
plt.plot(x,B_x, label = f"$B_x$, d = {d} mm")
|
||||
#plt.plot(z,B_tot_x, label = "B_tot_x")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
#plt.ylim(-0.5,0.4)
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_z$")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_x$")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
|
||||
#AHH_Coil.plot_3d(I, 80, 80)
|
||||
#print(B_z_grad[1500])
|
||||
#print(2*B_x_grad[1500])
|
||||
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
|
||||
@ -0,0 +1,133 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
#set up axis
|
||||
lim = 10001
|
||||
zr = lim//2
|
||||
x = np.linspace(-50, 50, lim)
|
||||
z = np.linspace(-50, 50, lim)
|
||||
|
||||
|
||||
|
||||
d_opt=81.8
|
||||
d_comp = 69.4
|
||||
|
||||
AHH_opt = BC.BCoil(HH = -1, distance = d_opt ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
AHH_opt = BC.BCoil(HH = -1, distance = d_opt ,radius = 46.875 ,layers = 8, windings = 2 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
AHH_opt.set_R_outer(49.25)
|
||||
|
||||
|
||||
AHH_comp = BC.BCoil(HH = -1, distance = d_comp ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
|
||||
I = 10
|
||||
print("Optimum configuration:")
|
||||
AHH_opt.print_info()
|
||||
|
||||
print("Not cutting optical axis:")
|
||||
AHH_comp.print_info()
|
||||
|
||||
|
||||
Bz_opt, Bx_opt = AHH_opt.B_multiple(I,x,z)
|
||||
Bz_comp, Bx_comp = AHH_comp.B_multiple(I, x, z)
|
||||
|
||||
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
#B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
Bz_grad_opt = BC.BCoil.Bgrad(Bz_opt, z)
|
||||
Bx_grad_opt = BC.BCoil.Bgrad(Bx_opt,x)
|
||||
|
||||
Bz_grad_comp = BC.BCoil.Bgrad(Bz_comp, z)
|
||||
Bx_grad_comp = BC.BCoil.Bgrad(Bx_comp,x)
|
||||
|
||||
Bz_rel_opt = (Bz_grad_opt[zr]- Bz_grad_opt)/Bz_grad_opt[zr]*100
|
||||
Bx_rel_opt = (Bx_grad_opt[zr]- Bx_grad_opt)/Bx_grad_opt[zr]*100
|
||||
|
||||
Bz_rel_comp = (Bz_grad_comp[zr]- Bz_grad_comp)/Bz_grad_comp[zr]*100
|
||||
Bx_rel_comp = (Bx_grad_comp[zr]- Bx_grad_comp)/Bx_grad_comp[zr]*100
|
||||
|
||||
plt.figure(figsize = (10,30))
|
||||
plt.tight_layout()
|
||||
plt.subplot(3,1,1)
|
||||
|
||||
plt.plot(z,Bz_opt,linestyle = "solid", color = "orange", label = f"$B_z$, d = {d_opt} mm")
|
||||
plt.plot(z,Bz_comp,linestyle = "solid",color = "blue", label = f"$B_z$, d = {d_comp} mm")
|
||||
|
||||
plt.plot(x,Bx_opt, linestyle = "dashed", color = "orange", label = f"$B_x$, d = {d_opt} mm")
|
||||
plt.plot(x,Bx_comp,linestyle = "dashed", color = "blue", label = f"$B_x$, d = {d_comp} mm")
|
||||
#plt.plot(z,B_tot_x, label = "B_tot_x")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
|
||||
plt.subplot(3,1,2)
|
||||
plt.plot(z,Bz_grad_opt,linestyle = "solid", color = "orange",label = f"$B_z$, d = {d_opt} mm")
|
||||
plt.plot(z,Bz_grad_comp,linestyle = "solid",color = "blue", label = f"$B_z$, d = {d_comp} mm")
|
||||
|
||||
plt.plot(x,Bx_grad_opt,linestyle = "dashed",color = "orange", label = f"$B_x$, d = {d_opt} mm")
|
||||
plt.plot(x,Bx_grad_comp, linestyle = "dashed",color = "blue", label = f"$B_x$, d = {d_comp} mm")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
#plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(3,1,3)
|
||||
plt.plot(z,Bz_rel_opt,linestyle = "solid", color = "orange",label = f"$B_z$, d = {d_opt} mm")
|
||||
plt.plot(z,Bz_rel_comp,linestyle = "solid",color = "blue", label = f"$B_z$, d = {d_comp} mm")
|
||||
|
||||
plt.plot(x,Bx_rel_opt,linestyle = "dashed",color = "orange", label = f"$B_x$, d = {d_opt} mm")
|
||||
plt.plot(x,Bx_rel_comp, linestyle = "dashed",color = "blue", label = f"$B_x$, d = {d_comp} mm")
|
||||
|
||||
plt.ylabel(r"rel. Deviation from Grad to center [%]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
#plt.title(r"$\nabla_i B_i")
|
||||
#plt.ylim(-0.05,0.05)
|
||||
plt.xlim(-10,10)
|
||||
plt.legend()
|
||||
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
|
||||
plt.show()
|
||||
print("")
|
||||
print(" 10 μm")
|
||||
print(f"Optimum: Dev. of gradient (z) +- 10μm to center: {Bz_rel_opt[zr+1]:.8f} %")
|
||||
print(f"Not cutting opt. axis: Dev. of gradient (z) +- 10μm to center: {Bz_rel_comp[zr+1]:.8f} %")
|
||||
print("")
|
||||
print(" 1mm ")
|
||||
print(f"Optimum: Dev. of gradient (z) +- 1 mm to center: {Bz_rel_opt[zr+100]:.6f} %")
|
||||
print(f"Not cutting opt. axis: Dev. of gradient (z) +- 1 mm to center: {Bz_rel_comp[zr+100]:.3f} %")
|
||||
|
||||
print("")
|
||||
print(" 10mm ")
|
||||
print(f"Optimum: Dev. of gradient (z) +- to center: {Bz_rel_opt[zr+1000]:.2f} %")
|
||||
print(f"Not cutting opt. axis: Dev. of gradient (z) to center: {Bz_rel_comp[zr+1000]:.2f} %")
|
||||
|
||||
print("")
|
||||
print(" 17mm ")
|
||||
print(f"Optimum: Dev. of gradient (z) +- 1 mm to center: {Bz_rel_opt[zr+1700]:.2f} %")
|
||||
print(f"Not cutting opt. axis: Dev. of gradient (z) +- 1 mm to center: {Bz_rel_comp[zr+1700]:.2f} %")
|
||||
103
Coil_geometry_AHH/06_surface_calculation_AHH.py
Normal file
103
Coil_geometry_AHH/06_surface_calculation_AHH.py
Normal file
@ -0,0 +1,103 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 10001)
|
||||
z = np.linspace(-50, 50, 10001)
|
||||
|
||||
|
||||
|
||||
d=81.8
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
|
||||
h =AHH_Coil.get_coil_height()
|
||||
w = AHH_Coil.get_coil_width()
|
||||
|
||||
vert_surf = h * 46.875*1e-3 *2 *np.pi
|
||||
hor_surf = np.pi*(AHH_Coil.get_R_outer()**2-AHH_Coil.get_R_inner()**2)
|
||||
|
||||
tot = 2*vert_surf + 2*hor_surf
|
||||
print(f"Surface area = {tot}")
|
||||
|
||||
print(AHH_Coil.get_coil_height())
|
||||
print(AHH_Coil.get_coil_width())
|
||||
|
||||
I = 10
|
||||
AHH_Coil.print_info()
|
||||
R = AHH_Coil.resistance(30)
|
||||
print(f"R = {R} ")
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(I,30)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
lim = 7000
|
||||
B_0 = B_z_grad[5000]
|
||||
print((B_0- B_z_grad[6700]))
|
||||
print((B_0- B_z_grad[6700])/B_0)
|
||||
|
||||
|
||||
plt.subplot(2,1,1)
|
||||
|
||||
plt.plot(z,B_z,linestyle = "solid", label = f"$B_z$, d = {d} mm")
|
||||
#plt.plot(z,B_tot_z, label = "B_tot_z")
|
||||
plt.plot(x,B_x, label = f"$B_x$, d = {d} mm")
|
||||
#plt.plot(z,B_tot_x, label = "B_tot_x")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
#plt.ylim(-0.5,0.4)
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_z$")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_x$")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
|
||||
#AHH_Coil.plot_3d(I, 80, 80)
|
||||
#print(B_z_grad[1500])
|
||||
#print(2*B_x_grad[1500])
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
107
Coil_geometry_AHH/07_final_AHH_lowered height.py
Normal file
107
Coil_geometry_AHH/07_final_AHH_lowered height.py
Normal file
@ -0,0 +1,107 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-5, 5, 10001)
|
||||
z = np.linspace(-5, 5, 10001)
|
||||
|
||||
|
||||
|
||||
d=69.4
|
||||
|
||||
AHH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
print(AHH_Coil.power(10, 25))
|
||||
|
||||
h =AHH_Coil.get_coil_height()
|
||||
w = AHH_Coil.get_coil_width()
|
||||
|
||||
vert_surf = h * 46.875*1e-3 *2 *np.pi
|
||||
hor_surf = np.pi*(AHH_Coil.get_R_outer()**2-AHH_Coil.get_R_inner()**2)
|
||||
|
||||
tot = 2*vert_surf + 2*hor_surf
|
||||
print(f"Surface area = {tot}")
|
||||
|
||||
print(AHH_Coil.get_coil_height())
|
||||
print(AHH_Coil.get_coil_width())
|
||||
|
||||
I = 10
|
||||
AHH_Coil.print_info()
|
||||
R = AHH_Coil.resistance(30)
|
||||
print(f"R = {R} ")
|
||||
#B = AHH_Coil.B_multiple_3d(10, x,z,raster=2)
|
||||
AHH_Coil.cooling(I,30)
|
||||
|
||||
B_z,B_x = AHH_Coil.B_multiple(I,x,z)
|
||||
#B_z = B[:,150,1]
|
||||
#B_x = B[150,:,0]
|
||||
|
||||
B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
|
||||
|
||||
B_z_grad = BC.BCoil.Bgrad(B_z, z)
|
||||
B_x_grad = BC.BCoil.Bgrad(B_x,x)
|
||||
|
||||
lim = 7000
|
||||
B_0 = B_z_grad[5000]
|
||||
print((B_0- B_z_grad[6700]))
|
||||
print((B_0- B_z_grad[6700])/B_0)
|
||||
|
||||
|
||||
plt.subplot(2,1,1)
|
||||
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{{tot}}$ along z-axis")
|
||||
#plt.plot(z,B_tot_z, label = "B_tot_z")
|
||||
plt.plot(x,B_x, label = r"$B_{{tot}}$ along x-axis")
|
||||
#plt.plot(z,B_tot_x, label = "B_tot_x")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
#plt.ylim(-0.5,0.4)
|
||||
plt.ylabel(r"$B$ [G]")
|
||||
plt.xlabel("z-axis / x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z B_{tot}$ along z-axis")
|
||||
plt.plot(x,B_x_grad,linestyle = "solid", label = r"$\nabla_x B_{tot}$ along x-axis")
|
||||
|
||||
plt.ylabel(r"$\nabla_i B_i [G/cm]$")
|
||||
plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Gradient of B-field")
|
||||
plt.legend()
|
||||
plt.savefig("output/AHH_field.pdf")
|
||||
plt.show()
|
||||
|
||||
|
||||
#AHH_Coil.plot_3d(I, 80, 80)
|
||||
#print(B_z_grad[1500])
|
||||
#print(2*B_x_grad[1500])
|
||||
"""
|
||||
print(" ")
|
||||
print(f"B_grad_z(0) = {B_z_grad[1500]} G/cm")
|
||||
print(f"B_grad_z(10 mm) = {B_z_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad z 10mm - 0 mm, {-(B_z_grad[1800]-B_z_grad[1500])} G/cm, relative: {(B_z_grad[1800]-B_z_grad[1500])/-B_z_grad[1500]}")
|
||||
print(" ")
|
||||
print(f"B_grad_x(0) = {B_x_grad[1500]} G/cm")
|
||||
print(f"B_grad_x(10 mm) = {B_x_grad[1800]} G/cm")
|
||||
print(f"Diff B_grad x 10mm - 0 mm, {B_x_grad[1800]-B_x_grad[1500]} G/cm, relative: {(B_x_grad[1800]-B_x_grad[1500])/-B_x_grad[1500]}")
|
||||
"""
|
||||
|
||||
print(AHH_Coil.resistance(22))
|
||||
print(AHH_Coil.induct_perry())
|
||||
print(AHH_Coil.power(10, 22))
|
||||
103
Coil_geometry_AHH/11_Final_HH.py
Normal file
103
Coil_geometry_AHH/11_Final_HH.py
Normal file
@ -0,0 +1,103 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-20, 20, 40001)
|
||||
z = np.linspace(-20, 20, 40001)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 10
|
||||
d=69.4
|
||||
|
||||
HH_Coil = BC.BCoil(HH = -1, distance = d ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
HH_Coil.print_info()
|
||||
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
|
||||
B_tot_z, B_tot_x = HH_Coil.B_multiple(I_current, x, z,raster = 10)
|
||||
|
||||
Bz = BC.BCoil.Bgrad(Bz, z)
|
||||
HH_Coil.cooling(I_current,28)
|
||||
|
||||
print(f"B_z(0) = {Bz[15000]} G")
|
||||
#print(f"B_z_curvature(0) = {Bz_curv[15000]:.10f} G/cm^2")
|
||||
|
||||
|
||||
print(f"B_z(1 μm) = {Bz[15001]}")
|
||||
print(f"B_z(1 mm) = {Bz[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {Bz[15001] - Bz[15000]}, relative: {(Bz[15001] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {Bz[15500] - Bz[15000]}, relative: {(Bz[15500] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[25000] - Bz[15000]}, relative: {(Bz[25000] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[32000] - Bz[15000]}, relative: {(Bz[32000] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
print(z[32000])
|
||||
print(z[15000])
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
"""
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,Bz,linestyle = "solid", label = r"$B_z along z-axis")
|
||||
plt.plot(z,B_tot_z, linestyle = "dashed", label = "New B_tot along z-axis")
|
||||
#plt.plot(x,B_tot_x, label = "B_tot along x-axis")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,Bz_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
"""
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
147
Coil_geometry_AHH/Untitled.ipynb
Normal file
147
Coil_geometry_AHH/Untitled.ipynb
Normal file
File diff suppressed because one or more lines are too long
BIN
Coil_geometry_AHH/output/AHH_field.pdf
Normal file
BIN
Coil_geometry_AHH/output/AHH_field.pdf
Normal file
Binary file not shown.
BIN
Coil_geometry_AHH/output/first_compensation_idea.png
Normal file
BIN
Coil_geometry_AHH/output/first_compensation_idea.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 132 KiB |
BIN
Coil_geometry_AHH/output/gradient_field_of_compensation_coil.pdf
Normal file
BIN
Coil_geometry_AHH/output/gradient_field_of_compensation_coil.pdf
Normal file
Binary file not shown.
69
Cooling/02_implement_power_equality.py
Normal file
69
Cooling/02_implement_power_equality.py
Normal file
@ -0,0 +1,69 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Sep 20 11:41:53 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
from src import physical_constants as cs
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up constants
|
||||
#h_air =10 #Heat transfer with air W/m^2 K
|
||||
e_cu = 3e-2 #emissivity copper, polished
|
||||
|
||||
rho_cu = 1.7*1e-8
|
||||
|
||||
I = 10 #A
|
||||
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 10001)
|
||||
z = np.linspace(-50, 50, 10001)
|
||||
|
||||
|
||||
|
||||
AHH_opt = BC.BCoil(HH = -1, distance = 81.8 ,radius = 46.875 ,layers = 4, windings = 4 , wire_width= 1, wire_height= 2 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
h = AHH_opt.get_coil_height()
|
||||
|
||||
w = AHH_opt.get_coil_width()
|
||||
print(h)
|
||||
print(w)
|
||||
|
||||
vert_surf = h * AHH_opt.radius * 2 *np.pi
|
||||
hor_surf = np.pi*(AHH_opt.get_R_outer()**2-AHH_opt.get_R_inner()**2)
|
||||
|
||||
S_coil = 2*vert_surf + 2*hor_surf
|
||||
#S_coil = S_coil/2
|
||||
print(f"Surface area = {S_coil}")
|
||||
|
||||
def power_bal(T,h_air):
|
||||
T_0 = 22.5
|
||||
|
||||
f = h_air * S_coil *(T-T_0) - 0.5*AHH_opt.power(I, T)
|
||||
return f
|
||||
print(e_cu * S_coil * cs.sigma_B**4 * (50**4 - 22.5**4))
|
||||
T = np.linspace(20,120,500)
|
||||
T_calc = np.linspace(20,2200,1000)
|
||||
|
||||
for h_air in [2.5,10,25]:
|
||||
pos_min = np.argmin(np.abs(power_bal(T_calc,h_air)))
|
||||
T_SS = T_calc[pos_min]
|
||||
print(f"T_ss = {T_SS} °C")
|
||||
plt.plot(T,power_bal(T,h_air),label = f"$h_{{air}} = {h_air} \; W/m^2 K$ , $T_{{SS}}$ = {T_SS:.2f}°C")
|
||||
plt.ylabel("Power balance [W]")
|
||||
plt.xlabel("temparature [°C]")
|
||||
plt.title(f"Power balance, free convection, AHH coil, I = {I} A, windings: 4 x 4")
|
||||
plt.legend()
|
||||
plt.show()
|
||||
|
||||
print(AHH_opt.power(I, 25)/2)
|
||||
53
Cooling/03_Weidemueller_coil.py
Normal file
53
Cooling/03_Weidemueller_coil.py
Normal file
@ -0,0 +1,53 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Sep 20 18:01:04 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
from src import physical_constants as cs
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
AHH_opt = BC.BCoil(HH = 1, distance = 70, radius = 60, layers = 2, windings = 10, wire_height = 1, wire_width = np.pi/4)
|
||||
I = 5
|
||||
AHH_opt.cooling(I, 36)
|
||||
print(f"res = {AHH_opt.resistance(36)/2:.2f} Ohm")
|
||||
h = AHH_opt.get_coil_height()
|
||||
w = AHH_opt.get_coil_width()
|
||||
|
||||
vert_surf = h * AHH_opt.radius * 2 *np.pi
|
||||
hor_surf = np.pi*(AHH_opt.get_R_outer()**2-AHH_opt.get_R_inner()**2)
|
||||
|
||||
S_coil = 2*vert_surf + 2*hor_surf #+5e-3
|
||||
#S_coil = S_coil/2
|
||||
print(f"Surface area = {S_coil}")
|
||||
|
||||
def power_bal(T,h_air):
|
||||
T_0 = 22.5
|
||||
|
||||
f = h_air * S_coil *(T-T_0) - 0.5*AHH_opt.power(I, T)
|
||||
return f
|
||||
|
||||
#print(e_cu * S_coil * cs.sigma_B**4 * (50**4 - 22.5**4))
|
||||
T = np.linspace(20,120,500)
|
||||
T_calc = np.linspace(20,2200,1000)
|
||||
|
||||
for h_air in [2.5,10,25]:
|
||||
pos_min = np.argmin(np.abs(power_bal(T_calc,h_air)))
|
||||
T_SS = T_calc[pos_min]
|
||||
print(f"T_ss = {T_SS} °C")
|
||||
plt.plot(T,power_bal(T,h_air),label = f"$h_{{air}} = {h_air} \; W/m^2 K$ , $T_{{SS}}$ = {T_SS:.2f}°C")
|
||||
plt.ylabel("Power balance [W]")
|
||||
plt.xlabel("temparature [°C]")
|
||||
plt.title(f"Power balance, free convection, Weidemüller Coil, I = {I} A, windings: 2 x 10")
|
||||
plt.legend()
|
||||
plt.show()
|
||||
|
||||
print(AHH_opt.power(I, 940)/2)
|
||||
55
Cooling/First_power_current_dens_estimations.py
Normal file
55
Cooling/First_power_current_dens_estimations.py
Normal file
@ -0,0 +1,55 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 16 11:49:41 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
from src import physical_constants as cs
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x_m = np.linspace(-0.05, 0.05, 51)
|
||||
z_m = np.linspace(-0.05, 0.05, 201)
|
||||
|
||||
|
||||
z = z_m*1e3
|
||||
x = x_m*1e3 #for plotting in mm
|
||||
|
||||
|
||||
################# My simulation #########################
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 54
|
||||
R_radius = 48.8
|
||||
R_inner = R_radius-3*1.7
|
||||
|
||||
layers = 4
|
||||
windings = 4
|
||||
wire_width = 1
|
||||
wire_height = 1
|
||||
|
||||
|
||||
B_z, B_x = bf.B_multiple_raster(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m)
|
||||
|
||||
#Calculate gradients/curvature
|
||||
B_z_grad = np.gradient(np.gradient(B_z,z_m),z_m)/1e4
|
||||
B_x_grad = np.gradient(B_x,x_m)/100
|
||||
|
||||
|
||||
wire_area = wire_height * wire_width
|
||||
|
||||
wire_length = layers*windings*2*R_radius*np.pi
|
||||
|
||||
|
||||
j_dens = I/wire_area #[A/mm^2]
|
||||
Power = cs.rho_copper_20 *wire_length*1e-3* I**2 /(wire_area* 1e-6)
|
||||
|
||||
|
||||
print(f"current density = {j_dens} A/mm^2")
|
||||
print(f"Power = {Power} W")
|
||||
File diff suppressed because one or more lines are too long
@ -0,0 +1,34 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Fri Aug 27 15:14:48 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
from src import physical_constants as cs
|
||||
import numpy as np
|
||||
|
||||
m = 2.69e-25
|
||||
k = 2*0.2097*9.9*cs.mu_B
|
||||
|
||||
omega = np.sqrt(k/m)
|
||||
f = omega/(2*np.pi)
|
||||
|
||||
T = 1/f
|
||||
T_exp = T/4
|
||||
#print(T_exp)
|
||||
|
||||
|
||||
start_z = 1e-6
|
||||
d_t = 1e-3
|
||||
def force(z):
|
||||
return 2*0.248*z*9.9*cs.mu_B
|
||||
z = start_z
|
||||
v = 0
|
||||
for t in np.arange(0,T_exp,d_t):
|
||||
v = v + force(z)/m * d_t
|
||||
#print(v)
|
||||
z = z + v * d_t
|
||||
print(z)
|
||||
print(omega)
|
||||
print(omega*1000e-3)
|
||||
print(700*20e-3*2*np.pi)
|
||||
34
Magnetic_magnification/01_Calculate_trap_frequency.py
Normal file
34
Magnetic_magnification/01_Calculate_trap_frequency.py
Normal file
@ -0,0 +1,34 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Fri Aug 27 15:14:48 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
from src import physical_constants as cs
|
||||
import numpy as np
|
||||
|
||||
m = 2.69e-25
|
||||
k = 2*0.2097*9.9*cs.mu_B
|
||||
|
||||
omega = np.sqrt(k/m)
|
||||
f = omega/(2*np.pi)
|
||||
|
||||
T = 1/f
|
||||
T_exp = T/4
|
||||
#print(T_exp)
|
||||
|
||||
|
||||
start_z = 1e-6
|
||||
d_t = 1e-3
|
||||
def force(z):
|
||||
return 2*0.248*z*9.9*cs.mu_B
|
||||
z = start_z
|
||||
v = 0
|
||||
for t in np.arange(0,T_exp,d_t):
|
||||
v = v + force(z)/m * d_t
|
||||
#print(v)
|
||||
z = z + v * d_t
|
||||
print(z)
|
||||
print(omega)
|
||||
print(omega*1000e-3)
|
||||
print(700*20e-3*2*np.pi)
|
||||
380
Magnetic_magnification/Calc_Trap_frequency_displacement.ipynb
Normal file
380
Magnetic_magnification/Calc_Trap_frequency_displacement.ipynb
Normal file
File diff suppressed because one or more lines are too long
47
Noise/00_Simple_testing.py
Normal file
47
Noise/00_Simple_testing.py
Normal file
@ -0,0 +1,47 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Aug 31 09:28:25 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
|
||||
x = np.linspace(-10, 10, 3001)
|
||||
z = np.linspace(-10, 10, 3001)
|
||||
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 6, windings = 4, wire_height = 1, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
I = 5
|
||||
|
||||
"""
|
||||
percentage = 0.05
|
||||
absolut = 5
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
|
||||
|
||||
|
||||
Bz2, Bx = HH_Coil.B_multiple(I+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print(" ")
|
||||
"""
|
||||
percentage = 0 #.02
|
||||
absolut = 0.125
|
||||
diff = percentage*0.01*5+ absolut *1e-3
|
||||
print(diff)
|
||||
|
||||
Bz1, Bx = HH_Coil.B_multiple(I, x, z)
|
||||
Bz2, Bx = HH_Coil.B_multiple(I+ diff, x, z)
|
||||
print(Bz2[1500]-Bz1[1500])
|
||||
print((Bz2[1500]-Bz1[1500])/Bz2[1500])
|
||||
#print(100e-6/10)
|
||||
#Power = cs.rho_copper_20 *wire_length* I_current**2 /(self.get_wire_area())
|
||||
|
||||
99
Noise/01_HH_noise.py
Normal file
99
Noise/01_HH_noise.py
Normal file
@ -0,0 +1,99 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 23 17:40:37 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
#from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-15, 15, 30001)
|
||||
z = np.linspace(-15, 15, 30001)
|
||||
|
||||
|
||||
#New coil
|
||||
I_current = 10
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 2, windings = 6, wire_height = 2, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
|
||||
HH_Coil.print_info()
|
||||
Bz, Bx = HH_Coil.B_multiple(I_current,x,z,raster = 10)
|
||||
Bz_curv = BC.BCoil.curv(Bz, z)
|
||||
HH_Coil.cooling(I_current)
|
||||
|
||||
print(f"B_z(0) = {Bz[15000]} G")
|
||||
print(f"B_z_curvature(0) = {Bz_curv[15000]:.4f} G/cm^2")
|
||||
|
||||
|
||||
print(f"B_z(1 μm) = {Bz[15001]}")
|
||||
print(f"B_z(1 mm) = {Bz[16000]}")
|
||||
|
||||
print(f"Diff B 1 μm: {Bz[15001] - Bz[15000]}, relative: {(Bz[15001] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
|
||||
print(f"Diff B 1 mm: {Bz[16000] - Bz[15000]}, relative: {(Bz[16000] - Bz[15000])/Bz[15000]}")
|
||||
|
||||
print(f"Diff B 0.5 mm: {Bz[15500] - Bz[15000]}, relative: {(Bz[15500] - Bz[15000])/Bz[15000]}")
|
||||
I_HH = I_current
|
||||
|
||||
#calculate field
|
||||
B_z, B_x = HH_Coil.B_multiple(I_HH,x,z)
|
||||
|
||||
#Calculate curvature
|
||||
B_z_curv = BC.BCoil.curv(B_z, z)
|
||||
|
||||
|
||||
|
||||
plt.figure(300)
|
||||
|
||||
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_{ref}$, reference, optimal HH-configuration d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp,linestyle = "solid", label = r"$B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A, 4 x 4")
|
||||
|
||||
#plt.plot(z,B_tot,linestyle = "solid", label = r"$B_{z,1} + B_{z,2}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{ref}$, d = 44 mm, R = 44 mm")
|
||||
#plt.plot(z,B_z_comp_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1}$, d = 54 mm, R = 48.8 mm, I = 5 A")
|
||||
|
||||
#plt.plot(z,B_tot_curv,linestyle = "solid", label = r"$\nabla_z^2 B_{z,1} + B_{z,2}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend()#bbox_to_anchor=(1.05, 1), loc='upper left')
|
||||
|
||||
#plt.savefig("output/first_compensation_idea.png")
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
|
||||
|
||||
"""
|
||||
AHH ############################################################################
|
||||
###############################################################################
|
||||
###############################################################################
|
||||
"""
|
||||
File diff suppressed because one or more lines are too long
@ -0,0 +1,34 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Fri Aug 27 15:14:48 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
from src import physical_constants as cs
|
||||
import numpy as np
|
||||
|
||||
m = 2.69e-25
|
||||
k = 2*0.2097*9.9*cs.mu_B
|
||||
|
||||
omega = np.sqrt(k/m)
|
||||
f = omega/(2*np.pi)
|
||||
|
||||
T = 1/f
|
||||
T_exp = T/4
|
||||
#print(T_exp)
|
||||
|
||||
|
||||
start_z = 1e-6
|
||||
d_t = 1e-3
|
||||
def force(z):
|
||||
return 2*0.248*z*9.9*cs.mu_B
|
||||
z = start_z
|
||||
v = 0
|
||||
for t in np.arange(0,T_exp,d_t):
|
||||
v = v + force(z)/m * d_t
|
||||
#print(v)
|
||||
z = z + v * d_t
|
||||
print(z)
|
||||
print(omega)
|
||||
print(omega*1000e-3)
|
||||
print(700*20e-3*2*np.pi)
|
||||
43
Stern_gerlach_separation/01_Calculate_trap_frequency.py
Normal file
43
Stern_gerlach_separation/01_Calculate_trap_frequency.py
Normal file
@ -0,0 +1,43 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Fri Aug 27 15:14:48 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
from src import physical_constants as cs
|
||||
import numpy as np
|
||||
|
||||
|
||||
mu = 9.9* cs.mu_B
|
||||
|
||||
Grad_Bz = cs.m_Dy_164 * 9.81/(8*mu)
|
||||
|
||||
print("For levitation:")
|
||||
print(f"dBz/dz = {Grad_Bz*1e4*1e-2:.4f} G/cm")
|
||||
print("")
|
||||
|
||||
T = 10e-6
|
||||
sigma = np.sqrt(cs.k_B*T/cs.m_Dy_164)
|
||||
dz = 2*sigma * 10e-3
|
||||
print(sigma*10e-3)
|
||||
|
||||
#dz = 250e-6
|
||||
dt = 10e-3
|
||||
|
||||
Grad_Bz = 2 * dz * cs.m_Dy_164/(dt**2 * mu)
|
||||
|
||||
|
||||
print(" ")
|
||||
print("For Stern-Gerlach separation:")
|
||||
print(f"dBz/dz = {Grad_Bz*1e4*1e-2:.4f} G/cm")
|
||||
print(" ")
|
||||
|
||||
|
||||
a = 8*mu*2.67*1e-2/cs.m_Dy_164 + 9.81
|
||||
s = 0.5 * a * dt**2
|
||||
print(s)
|
||||
|
||||
print(0.5*9.81*dt**2)
|
||||
|
||||
print((2.8778-2.8775)/2.8778)
|
||||
print(16*dz)
|
||||
380
Stern_gerlach_separation/Calc_Trap_frequency_displacement.ipynb
Normal file
380
Stern_gerlach_separation/Calc_Trap_frequency_displacement.ipynb
Normal file
File diff suppressed because one or more lines are too long
186
Test_class.py
Normal file
186
Test_class.py
Normal file
@ -0,0 +1,186 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 16 11:49:41 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x_m = np.linspace(-0.05, 0.05, 101)
|
||||
z_m = np.linspace(-0.05, 0.05, 101)
|
||||
|
||||
|
||||
z = z_m*1e3
|
||||
x = x_m*1e3 #for plotting in mm
|
||||
|
||||
#Import Values from simulation
|
||||
|
||||
################# My simulation #########################
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 44
|
||||
R_mid = 44
|
||||
R_inner = 44-3*1.7
|
||||
|
||||
layers = 6
|
||||
windings = 2
|
||||
wire_width = 1.7
|
||||
wire_height = 2.6
|
||||
|
||||
|
||||
HH_Coil1 = BC.BCoil(HH, d_coils ,R_mid, layers, windings, wire_width, wire_height)
|
||||
#HH_Coil1.print_info()
|
||||
#B_z_sim, B_x_sim = HH_Coil1.B_multiple(5, x, z)
|
||||
|
||||
#B_z, B_x = bf.B_multiple_raster(I,HH,R_inner,d_coils,layers,windings,wire_width, wire_height, x_m,z_m)
|
||||
|
||||
#B_test = B_field_ideal_AHH(layers*windings,I,R_inner*1e-3,d_coils*1e-3,z_m)
|
||||
|
||||
#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
|
||||
|
||||
|
||||
HH_Coil1.Bz_plot_HH(I,x,z)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
#Calculate gradients/curvature
|
||||
B_z_sim_grad = np.gradient(np.gradient(B_z_sim,z_m),z_m)/1e4
|
||||
B_x_sim_grad = np.gradient(B_x_sim,x_m)/100
|
||||
#B_z_grad = np.gradient(np.gradient(B_z,z_m),z_m)/1e4
|
||||
B_z_grad = np.gradient(B_z,z_m)/100
|
||||
|
||||
B_z_sim_grad = np.gradient(B_z_grad,z_m)/100
|
||||
|
||||
B_x_grad = np.gradient(B_x,x_m)/100
|
||||
|
||||
|
||||
#Calculate relative differences in permille
|
||||
rel_diff_Bz = (B_z-B_z_sim)/np.mean(B_z)
|
||||
#rel_diff_Bx = (B_x-B_x_sim)/np.mean(B_x)
|
||||
rel_diff_Bz_grad = (B_z_grad-B_z_sim_grad)/np.mean(B_z_grad)
|
||||
|
||||
rel_diff_Bz_grad_mean = (B_z_grad-B_z_sim_grad)/np.mean(B_z_grad)
|
||||
#rel_diff_Bx_grad = (B_x_grad-B_x_sim_grad)/np.mean(B_x_grad)
|
||||
|
||||
#Plotting
|
||||
plt.figure(1,figsize=(20,18))
|
||||
|
||||
plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis, comparison of simulations", fontsize=30)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(3,2,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim,linestyle = "dashdot", label = r"$B_{z, sim}$: Numerical Matlab simulation")
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" ,fontsize = 30)
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,3)
|
||||
plt.plot(z,(B_z-B_z_sim), label = r"$B_z - B_{z, sim}$")
|
||||
plt.ylabel("absolute deviation [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#############################
|
||||
plt.subplot(3,2,5)
|
||||
plt.plot(z,1000*rel_diff_Bz, label = "$(B_z - B_{z, sim}) / B_z$")
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
######################Gradient plot############################
|
||||
|
||||
################
|
||||
plt.subplot(3,2,2)
|
||||
plt.plot(z,B_z_grad,linestyle = "solid", label = r"$\nabla_z^2 B_z$: Result via elliptic integrals")
|
||||
plt.plot(z,B_z_sim_grad,linestyle = "dashdot", label = r"$\nabla_z^2 B_{z, sim}$: Numerical Matlab sim.")
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.title("Curvature of B-field",fontsize = 30)
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
|
||||
#################
|
||||
|
||||
plt.subplot(3,2,4)
|
||||
plt.plot(z,(B_z_grad-B_z_sim_grad), label = r"$\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}$")
|
||||
plt.ylabel(r"absolute deviation $[G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
#####################
|
||||
plt.subplot(3,2,6)
|
||||
plt.plot(z,1000*rel_diff_Bz_grad, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / \nabla_z^2 B_z$")
|
||||
#plt.ylim(-57,10)
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
plt.savefig("output/HH_benchmark_5A_6x2.pdf")
|
||||
plt.show()
|
||||
|
||||
############### relative deviation with averaging by the mean not the individual value ########################################
|
||||
plt.figure(2)
|
||||
|
||||
plt.plot(z,1000*rel_diff_Bz_grad_mean, label = r"$(\nabla_z^2 B_z - \nabla_z^2 B_{z, sim}) / mean(\nabla_z^2 B_z)$")
|
||||
#plt.ylim(-57,10)
|
||||
plt.ylabel("relative deviation [‰]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
plt.savefig("output/HH_benchmark_5A_6x2_rel_deviation_via_mean.pdf")
|
||||
plt.show()
|
||||
|
||||
##################### x-Axis #########################################################
|
||||
|
||||
plt.figure(3)
|
||||
|
||||
plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_x along x-axis, comparison of simulations", fontsize=30)
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
|
||||
plt.plot(x,B_x,linestyle = "solid", label = r"$B_x$: Result via elliptic integrals")
|
||||
plt.plot(x,B_x_sim,linestyle = "dashdot", label = r"$B_{x, sim}$: Numerical Matlab simulation")
|
||||
plt.plot(x,(B_x-B_x_sim), label = r"$B_x - B_{x, sim}$")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" ,fontsize = 30)
|
||||
|
||||
plt.ylabel(r"$B_x$ [G]")
|
||||
plt.xlabel("x-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
|
||||
|
||||
|
||||
#################
|
||||
|
||||
|
||||
plt.savefig("output/HH_benchmark_5A_6x2_x-axis.pdf")
|
||||
plt.show()
|
||||
|
||||
81
Test_class1.py
Normal file
81
Test_class1.py
Normal file
@ -0,0 +1,81 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Mon Aug 16 11:49:41 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
from src import B_field_calculation as bf
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
#get_ipython().run_line_magic('matplotlib', 'inline')
|
||||
|
||||
#set up axis
|
||||
x = np.linspace(-50, 50, 101)
|
||||
z = np.linspace(-50, 50, 101)
|
||||
|
||||
|
||||
|
||||
################# My simulation #########################
|
||||
I = 5
|
||||
HH = 1
|
||||
d_coils = 44
|
||||
R_mid = 44
|
||||
|
||||
|
||||
layers = 6
|
||||
windings = 2
|
||||
wire_width = 1.7
|
||||
wire_height = 2.6
|
||||
|
||||
|
||||
HH_Coil_44 = BC.BCoil(HH, d_coils ,R_mid, layers, windings, wire_width, wire_height)
|
||||
|
||||
d_coils_2 = 55.2
|
||||
HH_Coil_54 = BC.BCoil(HH, d_coils_2 ,R_mid, layers, windings, wire_width, wire_height)
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH(I,x,z)
|
||||
|
||||
|
||||
#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
|
||||
|
||||
B_z, B_x = HH_Coil_44.B_multiple(I,x,z)
|
||||
B_z_2, B_x_2 = HH_Coil_54.B_multiple(I,x,z)
|
||||
|
||||
B_z_curvature = np.gradient(np.gradient(B_z,z),z)*1e2
|
||||
B_z_curvature_2 = np.gradient(np.gradient(B_z_2,z),z)*1e2
|
||||
|
||||
|
||||
plt.figure(100,figsize=(13,10))
|
||||
|
||||
#plt.rcParams.update({'font.size': 15})
|
||||
plt.suptitle("Helmholtz coil field B_z along z-axis")
|
||||
|
||||
|
||||
#Field plot
|
||||
##########################
|
||||
plt.subplot(2,1,1)
|
||||
plt.plot(z,B_z,linestyle = "solid", label = r"$B_z$, d = 44 mm")
|
||||
plt.plot(z,B_z_2,linestyle = "solid", label = r"$B_{z,2}$, d = 55.2 mm")
|
||||
#plt.xlim(-0.01,0.01)
|
||||
plt.title("B-field" )
|
||||
|
||||
plt.ylabel(r"$B_z$ [G]")
|
||||
plt.xlabel("z-axis [mm]")
|
||||
plt.legend()
|
||||
|
||||
plt.subplot(2,1,2)
|
||||
plt.plot(z,B_z_curvature,linestyle = "solid", label = r"$\nabla_z^2 B_z$, d = 44 mm")
|
||||
plt.plot(z,B_z_curvature_2,linestyle = "solid", label = r"$\nabla_z^2 B_{z,2}, d = 55.2 mm$")
|
||||
|
||||
|
||||
plt.ylabel(r"$\nabla_z^2 B_z [G/cm^2]$")
|
||||
plt.xlabel("z-axis [mm]")#plt.xlim(-10,10)
|
||||
plt.title("Curvature of B-field")
|
||||
plt.legend(loc='lower right')
|
||||
|
||||
plt.show()
|
||||
BIN
output/AHH_field.pdf
Normal file
BIN
output/AHH_field.pdf
Normal file
Binary file not shown.
BIN
output/HH_benchmark_5A_6x2.pdf
Normal file
BIN
output/HH_benchmark_5A_6x2.pdf
Normal file
Binary file not shown.
BIN
output/HH_benchmark_5A_6x2_rel_deviation_via_mean.pdf
Normal file
BIN
output/HH_benchmark_5A_6x2_rel_deviation_via_mean.pdf
Normal file
Binary file not shown.
BIN
output/HH_benchmark_5A_6x2_x-axis.pdf
Normal file
BIN
output/HH_benchmark_5A_6x2_x-axis.pdf
Normal file
Binary file not shown.
@ -97,8 +97,8 @@ class BCoil:
|
||||
N_windings = self.layers * self.windings
|
||||
|
||||
B = cs.mu_0 * N_windings * I_current / 2 * self.radius ** 2 * (
|
||||
1 / (self.radius ** 2 + (z_SI - self.distance / 2) ** 2) ** (3 / 2) + self.HH * 1 / (
|
||||
self.radius ** 2 + (z_arg + self.distance / 2) ** 2) ** (3 / 2))
|
||||
1 / (self.radius ** 2 + (z_SI - self.distance / 2) ** 2) ** (3 / 2) + self.HH * 1 / (
|
||||
self.radius ** 2 + (z_arg + self.distance / 2) ** 2) ** (3 / 2))
|
||||
B *= 1e4 # conversion Gauss
|
||||
return B
|
||||
|
||||
@ -109,16 +109,16 @@ class BCoil:
|
||||
def B_z_loop(I_current, R_loop, z_loc, r, z):
|
||||
"""calculate z-component of B-field at position r and z for each individual loop"""
|
||||
B_z = 2e-7 * I_current * 1 / ((R_loop + r) ** 2 + (z - z_loc) ** 2) ** (1 / 2) * (
|
||||
sp.ellipk(BCoil.k_sq(R_loop, z_loc, r, z)) + sp.ellipe(BCoil.k_sq(R_loop, z_loc, r, z)) * (
|
||||
R_loop ** 2 - r ** 2 - (z - z_loc) ** 2) / ((R_loop - r) ** 2 + (z - z_loc) ** 2))
|
||||
sp.ellipk(BCoil.k_sq(R_loop, z_loc, r, z)) + sp.ellipe(BCoil.k_sq(R_loop, z_loc, r, z)) * (
|
||||
R_loop ** 2 - r ** 2 - (z - z_loc) ** 2) / ((R_loop - r) ** 2 + (z - z_loc) ** 2))
|
||||
B_z *= 1e4 # conversion to gauss
|
||||
return B_z
|
||||
|
||||
def B_r_loop(I_current, R_loop, z_loc, r, z):
|
||||
"""calculate r-component of B-field at position r and z for each individual loop"""
|
||||
B_r = 2e-7 * I_current / r * (z - z_loc) / ((R_loop + r) ** 2 + (z - z_loc) ** 2) ** (1 / 2) * (
|
||||
-sp.ellipk(BCoil.k_sq(R_loop, z_loc, r, z)) + sp.ellipe(BCoil.k_sq(R_loop, z_loc, r, z)) * (
|
||||
R_loop ** 2 + r ** 2 + (z - z_loc) ** 2) / ((R_loop - r) ** 2 + (z - z_loc) ** 2))
|
||||
-sp.ellipk(BCoil.k_sq(R_loop, z_loc, r, z)) + sp.ellipe(BCoil.k_sq(R_loop, z_loc, r, z)) * (
|
||||
R_loop ** 2 + r ** 2 + (z - z_loc) ** 2) / ((R_loop - r) ** 2 + (z - z_loc) ** 2))
|
||||
B_r *= 1e4 # conversion to gauss
|
||||
return B_r
|
||||
|
||||
@ -154,11 +154,11 @@ class BCoil:
|
||||
for xx_in in range(0, raster):
|
||||
for zz_in in range(0, raster):
|
||||
z_pos = z_start + zz * (
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
R_pos = R_start + xx * (
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
|
||||
B_z += BCoil.B_z_loop(I_current, R_pos, z_pos, 0, z_SI) + BCoil.B_z_loop(self.HH * I_current,
|
||||
R_pos, -z_pos, 0, z_SI)
|
||||
@ -206,11 +206,11 @@ class BCoil:
|
||||
for xx_in in range(0, raster):
|
||||
for zz_in in range(0, raster):
|
||||
z_pos = z_start + zz * (
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
R_pos = R_start + xx * (
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
|
||||
# z-field along z-axis (x-Field always zero)
|
||||
B_tot_z += BCoil.B_z_loop(I_current, R_pos, z_pos, 0, z_SI) + BCoil.B_z_loop(
|
||||
@ -252,11 +252,11 @@ class BCoil:
|
||||
for xx_in in range(0, raster):
|
||||
for zz_in in range(0, raster):
|
||||
z_pos = z_start + zz * (
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
self.wire_height + self.windings_spacing) - self.wire_height / 2 + zz_in * self.wire_height / (
|
||||
raster - 1)
|
||||
R_pos = R_start + xx * (
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
self.wire_width + self.layers_spacing) - self.wire_width / 2 + xx_in * self.wire_width / (
|
||||
raster - 1)
|
||||
|
||||
# compute z-value of field
|
||||
B[:, el, 1] += BCoil.B_z_loop(I_current, R_pos, z_pos, np.abs(x_SI[el]),
|
||||
@ -278,6 +278,7 @@ class BCoil:
|
||||
|
||||
return B
|
||||
|
||||
@staticmethod
|
||||
def B_tot_3d(B):
|
||||
return np.sqrt(B[:, :, 0] ** 2 + B[:, :, 1] ** 2)
|
||||
|
||||
@ -300,7 +301,7 @@ class BCoil:
|
||||
plt.ylabel("z-axis [mm]")
|
||||
plt.show()
|
||||
|
||||
def Bcurv(B_field, z):
|
||||
def curv(B_field, z):
|
||||
return np.gradient(np.gradient(B_field, z), z) * 1e2
|
||||
|
||||
def Bgrad(B_field, z):
|
||||
@ -410,7 +411,7 @@ class BCoil:
|
||||
|
||||
"""
|
||||
L = 4 * np.pi * (self.windings * self.layers) ** 2 * (1e2 * self.radius) ** 2 / (
|
||||
0.2317 * 100 * self.radius + 0.44 * 100 * self.get_coil_height() + 0.39 * 100 * self.get_coil_width())
|
||||
0.2317 * 100 * self.radius + 0.44 * 100 * self.get_coil_height() + 0.39 * 100 * self.get_coil_width())
|
||||
return L * 1e-9
|
||||
|
||||
def resistance(self, T):
|
||||
|
||||
75
time_response/01_independence_of_N.py
Normal file
75
time_response/01_independence_of_N.py
Normal file
@ -0,0 +1,75 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Sep 7 13:18:18 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
|
||||
I = 10
|
||||
|
||||
HH_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 4, windings = 2, wire_height = 2, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
HH_Coil.print_info()
|
||||
HH_Coil.cooling(I,20)
|
||||
print(f"length = {HH_Coil.get_wire_length()}")
|
||||
|
||||
|
||||
Fast_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 8, windings = 8, wire_height =0.5, wire_width = 0.5,windings_spacing=0, layers_spacing = 0)
|
||||
Fast_Coil.set_R_outer(49.3)
|
||||
Fast_Coil.set_d_min(49.8)
|
||||
|
||||
Ilz_Coil = BC.BCoil(HH = 1, distance = 70 ,radius = 40.5 , layers = 6, windings = 1, wire_height = 2.7, wire_width = 1,windings_spacing=0.25, layers_spacing = 0.25)
|
||||
Ilz_Coil.set_R_inner(40.5)
|
||||
Ilz_Coil.print_info()
|
||||
|
||||
L = HH_Coil.inductivity()
|
||||
|
||||
R = HH_Coil.resistance(20)
|
||||
|
||||
HH_Coil.cooling(I,22)
|
||||
|
||||
#AHH_Coil = BC.BCoil(-1, 82 , 47.3 , 4, 6, wire_width= 1, wire_height= 1.5 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
def I_current(Coil, I_0, t):
|
||||
L = Coil.induct_perry()
|
||||
|
||||
#L = Coil.inductivity()
|
||||
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
|
||||
|
||||
def I_current_exp(I_0,R,L,t):
|
||||
print("")
|
||||
print(L/R)
|
||||
I = I_0* (1-np.exp(-R/L * t))
|
||||
return I
|
||||
|
||||
t = np.linspace(0,0.005,1000)
|
||||
plt.title("time response")
|
||||
plt.plot(t*1e3,I_current(HH_Coil,I,t),label = "I_max = 10 A, 2 x 4")
|
||||
plt.plot(t*1e3,8*I_current(Fast_Coil,10/8,t),label = "I_max = 10/8 A, 8 x 8")
|
||||
#plt.plot(t*1e3,I_current(Ilz_Coil,I,t),label = "Ilz theo")
|
||||
#plt.plot(t*1e3,I_current_exp(I,42e-3,14e-6,t),label = "Ilz exp")
|
||||
#plt.plot(t*1e3,I_current_exp(I,0.85,3.75e-3,t),label = "Paper: Fast switching")
|
||||
|
||||
plt.xlabel("time [ms]")
|
||||
plt.ylabel("current I [A]")
|
||||
plt.legend()
|
||||
plt.show()
|
||||
|
||||
print(Fast_Coil.power(10/8,22))
|
||||
|
||||
print(Fast_Coil.resistance(22))
|
||||
128
time_response/R_test.py
Normal file
128
time_response/R_test.py
Normal file
@ -0,0 +1,128 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Sep 7 13:18:18 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
import numpy as np
|
||||
|
||||
from src import coil_class as BC
|
||||
|
||||
from IPython import get_ipython
|
||||
|
||||
# get_ipython().run_line_magic('matplotlib', 'qt')
|
||||
|
||||
I = 1.25
|
||||
|
||||
HH_Coil = BC.BCoil(HH=1, distance=54, radius=48, layers=8, windings=8, wire_height=0.5, wire_width=0.5,
|
||||
windings_spacing=0.25, layers_spacing=0.25)
|
||||
HH_Coil.set_R_outer(49.3)
|
||||
HH_Coil.set_d_min(49.8)
|
||||
HH_Coil.print_info()
|
||||
# todo: asdkjflö
|
||||
|
||||
# Fast_Coil = BC.BCoil(HH = 1, distance = 54 ,radius = 48 , layers = 8, windings = 8, wire_height =0.5, wire_width = 0.5,windings_spacing=0, layers_spacing = 0)
|
||||
# Fast_Coil.set_R_outer(49.3)
|
||||
# Fast_Coil.set_d_min(49.8)
|
||||
|
||||
|
||||
# AHH_Coil = BC.BCoil(-1, 82 , 47.3 , 4, 6, wire_width= 1, wire_height= 1.5 ,layers_spacing = 0.25, windings_spacing= 0.25)
|
||||
|
||||
def I_t(Coil, I_0, t):
|
||||
L = Coil.induct_perry()
|
||||
|
||||
# L = Coil.inductivity()
|
||||
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
|
||||
|
||||
|
||||
def I_t_2(Coil, I_0, t):
|
||||
L = Coil.induct_perry()
|
||||
|
||||
# L = Coil.inductivity()
|
||||
R = 2 * 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
|
||||
|
||||
|
||||
def U_t(t, U_0, t_f):
|
||||
if t < t_f:
|
||||
U = 2 * U_0 - U_0 / t_f * t
|
||||
else:
|
||||
U = U_0
|
||||
return U
|
||||
|
||||
|
||||
test = np.vectorize(U_t)
|
||||
|
||||
|
||||
def I_t_3(Coil, I_0, t_f, t):
|
||||
L = Coil.induct_perry()
|
||||
|
||||
# L = Coil.inductivity()
|
||||
R = Coil.resistance(22.5)
|
||||
# print(f"L={L}")
|
||||
# print(f" R= {R}")
|
||||
# tau = L/R
|
||||
# print(f" τ = {tau}")
|
||||
# print(R*I_0)
|
||||
I = test(t, R * I_0, t_f * 1e-3) / R * (1 - np.exp(-R / L * t))
|
||||
return I
|
||||
|
||||
|
||||
def I_current_exp(I_0, R, L, t):
|
||||
print("")
|
||||
print(L / R)
|
||||
I = I_0 * (1 - np.exp(-R / L * t))
|
||||
return I
|
||||
|
||||
|
||||
def main():
|
||||
# execute some code here
|
||||
t = np.linspace(0, 0.002, 1000)
|
||||
|
||||
# set up color
|
||||
color = iter(plt.cm.rainbow(np.linspace(0, 1, 5)))
|
||||
|
||||
plt.figure(1)
|
||||
plt.subplot(2, 1, 1)
|
||||
plt.title("time response")
|
||||
plt.plot(t * 1e3, I_t(HH_Coil, I, t), label="R = R_coil, U = const. = 10 V ")
|
||||
plt.plot(t * 1e3, I_t_2(HH_Coil, I, t), label="R = 2 * R_coil, U = const. = 20 V")
|
||||
|
||||
for t_f in np.arange(0.2, 1.2, 0.3):
|
||||
print(t_f)
|
||||
plt.plot(t * 1e3, I_t_3(HH_Coil, I, t_f, t), c=next(color), label=f"U overshoot, t_f = {t_f:.1f} ms")
|
||||
|
||||
plt.xlabel("time [ms]")
|
||||
plt.ylabel("current I [A]")
|
||||
plt.legend()
|
||||
plt.show()
|
||||
|
||||
color = iter(plt.cm.rainbow(np.linspace(0, 1, 5)))
|
||||
|
||||
plt.subplot(2, 1, 2)
|
||||
for t_f in np.arange(0.2, 1.2, 0.3):
|
||||
plt.plot(t * 1e3, test(t, 10, t_f * 1e-3), c=next(color), label=f"U overshoot, t_f = {t_f:.1f} ms")
|
||||
|
||||
plt.xlabel("time [ms]")
|
||||
plt.ylabel("voltage U [V]")
|
||||
plt.legend()
|
||||
|
||||
plt.show()
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
print("g")
|
||||
main()
|
||||
5
time_response/test.py
Normal file
5
time_response/test.py
Normal file
@ -0,0 +1,5 @@
|
||||
import time_response.R_test as R
|
||||
|
||||
print("hi")
|
||||
print(R.I_current_exp(1, 1, 1, 4))
|
||||
print(R.HH_Coil)
|
||||
16
time_response/untitled3.py
Normal file
16
time_response/untitled3.py
Normal file
@ -0,0 +1,16 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Tue Sep 7 13:26:18 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
import numpy as np
|
||||
|
||||
from src import physical_constants as cs
|
||||
|
||||
L = 4*np.pi*1e-7*16**2 *0.046925**2 * np.pi/4.75e-3
|
||||
r = 0.046925
|
||||
R = cs.rho_copper_20 * 16* 2*r * np.pi/1e-6
|
||||
|
||||
print(R)
|
||||
8
untitled0.py
Normal file
8
untitled0.py
Normal file
@ -0,0 +1,8 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
Created on Fri Oct 1 10:42:13 2021
|
||||
|
||||
@author: Joschka
|
||||
"""
|
||||
|
||||
for t
|
||||
Loading…
Reference in New Issue
Block a user