Checked class until line 552
Added plot functions
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@ -53,7 +53,7 @@ HH_Coil_54.cooling(5)
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#Compensation Coil
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HH_Coil_78 = BC.BCoil(1,54,37,4, 4, 1,1)
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#HH_Coil_44.Bz_plot_HH(I,x,z)
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#HH_Coil_44.B_quick_plot(I,x,z)
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#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
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@ -32,8 +32,8 @@ B_z,B_x = HH_Coil_78.B_field(1, x, z)
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#x = np.concatenate((-np.flip(r),r))
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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#plt.rcParams.update({'font.size': 15})
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plt.suptitle("Anti Helmholtz coil field, I = 1 A, d = 54 mm, R = 37 mm ", fontsize = 30)
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@ -57,7 +57,7 @@ HH_Coil_comp = BC.BCoil(HH = 1, distance = 54 ,radius = 37, layers = 4, windings
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#HH_Coil_44.Bz_plot_HH(I,x,z)
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#HH_Coil_44.B_quick_plot(I,x,z)
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#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
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@ -30,8 +30,8 @@ AHH_Coil.set_R_outer(49.3)
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#B_z,B_x = AHH_Coil.B_field(1,x,z)
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#B_z_grad = BC.BCoil.Bgrad(B_z, z)
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#B_x_grad = BC.BCoil.Bgrad(B_x,x)
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#B_z_grad = BC.BCoil.grad(B_z, z)
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#B_x_grad = BC.BCoil.grad(B_x,x)
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plt.figure(1,figsize=(10,13))
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#plt.rcParams.update({'font.size': 15})
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@ -53,8 +53,8 @@ B_z,B_x = AHH_Coil.B_field(10, x, z)
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#B_z = B[:,150,1]
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#B_x = B[150,:,0]
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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plt.subplot(2,1,1)
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@ -45,7 +45,7 @@
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"\n",
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"\n",
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"\n",
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"#HH_Coil_44.Bz_plot_HH(I,x,z)\n"
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"#HH_Coil_44.B_quick_plot(I,x,z)\n"
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]
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},
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{
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@ -41,8 +41,8 @@ B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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lim = 7000
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B_0 = B_z_grad[5000]
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@ -44,8 +44,8 @@ B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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# lim = 7000
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# B_0 = B_z_grad[5000]
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@ -58,14 +58,14 @@ for d in distance:
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print(d)
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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)
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B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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B_z_curv = BC.BCoil.Bgrad(B_z_grad, z)
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B_x_curv = BC.BCoil.Bgrad(B_z_grad, z)
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B_z_curv = BC.BCoil.grad(B_z_grad, z)
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B_x_curv = BC.BCoil.grad(B_z_grad, z)
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B_z_3rd = BC.BCoil.Bgrad(B_z_curv, z)
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B_x_3rd = BC.BCoil.Bgrad(B_z_curv, z)
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B_z_3rd = BC.BCoil.grad(B_z_curv, z)
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B_x_3rd = BC.BCoil.grad(B_z_curv, z)
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plt.subplot(2,2,1)
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@ -89,7 +89,7 @@ for d in distance:
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plt.subplot(2,2,3)
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plt.title("Curvature")
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plt.plot(z,B_z_curv,linestyle = "solid", label = f"$ d = {d} mm")
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#plt.plot(x,B_x_curv, label = f"Curv. $B_x$, d = {d} mm")
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#plt.plot(x,B_x_curv, label = f"curv. $B_x$, d = {d} mm")
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plt.title("B-field" )
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plt.ylabel(r"$B$ [G/cm^2]")
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@ -38,14 +38,14 @@ print(f"R (30 degree C)= {AHH_Coil.resistance(30)}")
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B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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B_z_curv = BC.BCoil.Bgrad(B_z_grad, z)
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B_x_curv = BC.BCoil.Bgrad(B_z_grad, z)
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B_z_curv = BC.BCoil.grad(B_z_grad, z)
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B_x_curv = BC.BCoil.grad(B_z_grad, z)
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B_z_3rd = BC.BCoil.Bgrad(B_z_curv, z)
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B_x_3rd = BC.BCoil.Bgrad(B_z_curv, z)
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B_z_3rd = BC.BCoil.grad(B_z_curv, z)
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B_x_3rd = BC.BCoil.grad(B_z_curv, z)
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@ -54,8 +54,8 @@ B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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lim = 7000
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B_0 = B_z_grad[5000]
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@ -53,11 +53,11 @@ Bz_comp, Bx_comp = AHH_comp.B_field(I, x, z)
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#B_x = B[150,:,0]
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#B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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Bz_grad_opt = BC.BCoil.Bgrad(Bz_opt, z)
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Bx_grad_opt = BC.BCoil.Bgrad(Bx_opt,x)
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Bz_grad_opt = BC.BCoil.grad(Bz_opt, z)
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Bx_grad_opt = BC.BCoil.grad(Bx_opt, x)
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Bz_grad_comp = BC.BCoil.Bgrad(Bz_comp, z)
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Bx_grad_comp = BC.BCoil.Bgrad(Bx_comp,x)
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Bz_grad_comp = BC.BCoil.grad(Bz_comp, z)
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Bx_grad_comp = BC.BCoil.grad(Bx_comp, x)
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Bz_rel_opt = (Bz_grad_opt[zr]- Bz_grad_opt)/Bz_grad_opt[zr]*100
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Bx_rel_opt = (Bx_grad_opt[zr]- Bx_grad_opt)/Bx_grad_opt[zr]*100
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@ -103,7 +103,7 @@ plt.plot(z,Bz_rel_comp,linestyle = "solid",color = "blue", label = f"$B_z$, d =
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plt.plot(x,Bx_rel_opt,linestyle = "dashed",color = "orange", label = f"$B_x$, d = {d_opt} mm")
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plt.plot(x,Bx_rel_comp, linestyle = "dashed",color = "blue", label = f"$B_x$, d = {d_comp} mm")
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plt.ylabel(r"rel. Deviation from Grad to center [%]$")
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plt.ylabel(r"rel. Deviation from grad to center [%]$")
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plt.xlabel("z-axis /x-axis [mm]")#plt.xlim(-10,10)
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#plt.title(r"$\nabla_i B_i")
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#plt.ylim(-0.05,0.05)
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@ -54,8 +54,8 @@ B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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lim = 7000
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B_0 = B_z_grad[5000]
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@ -54,8 +54,8 @@ B_z,B_x = AHH_Coil.B_field(I, x, z)
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B_tot_z, B_tot_x = AHH_Coil.B_tot_along_axis(I, x, z)
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B_z_grad = BC.BCoil.Bgrad(B_z, z)
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B_x_grad = BC.BCoil.Bgrad(B_x,x)
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B_z_grad = BC.BCoil.grad(B_z, z)
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B_x_grad = BC.BCoil.grad(B_x, x)
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lim = 7000
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B_0 = B_z_grad[5000]
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@ -33,7 +33,7 @@ Bz, Bx = HH_Coil.B_field(I_current, x, z, raster = 10)
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B_tot_z, B_tot_x = HH_Coil.B_field(I_current, x, z, raster = 10)
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Bz = BC.BCoil.Bgrad(Bz, z)
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Bz = BC.BCoil.grad(Bz, z)
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HH_Coil.cooling(I_current,28)
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print(f"B_z(0) = {Bz[15000]} G")
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@ -45,7 +45,7 @@
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"\n",
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"\n",
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"\n",
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"#HH_Coil_44.Bz_plot_HH(I,x,z)\n"
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"#HH_Coil_44.B_quick_plot(I,x,z)\n"
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]
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},
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{
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@ -48,7 +48,7 @@ HH_Coil1 = BC.BCoil(HH, d_coils ,R_mid, layers, windings, wire_width, wire_heigh
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#B_x = np.concatenate((-np.flip(B_r),B_r[1:len(B_r)]))
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HH_Coil1.Bz_plot_HH(I,x,z)
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HH_Coil1.B_quick_plot(I, x, z)
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@ -38,7 +38,7 @@ HH_Coil_44 = BC.BCoil(HH, d_coils ,R_mid, layers, windings, wire_width, wire_hei
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d_coils_2 = 55.2
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HH_Coil_54 = BC.BCoil(HH, d_coils_2 ,R_mid, layers, windings, wire_width, wire_height)
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#HH_Coil_44.Bz_plot_HH(I,x,z)
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#HH_Coil_44.B_quick_plot(I,x,z)
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#HH_Coil_44.Bz_plot_HH_comp(HH_Coil_54,I,x,z)
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@ -461,43 +461,59 @@ class BCoil:
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plt.ylabel("z-axis [mm]")
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plt.show()
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def curv(B_field, z):
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return np.gradient(np.gradient(B_field, z), z) * 1e2
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def curv(B_f, z):
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return np.gradient(np.gradient(B_f, z), z) * 1e2
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def Bgrad(B_field, z):
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return np.gradient(B_field, z) * 1e1
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def grad(B_f, z):
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return np.gradient(B_f, z) * 1e1
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def Bz_plot_HH(self, I_current, x, z):
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B_z, B_x = self.B_field(I_current, x, z)
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def B_quick_plot(self, I_current, abs = True, x_lim = 50, z_lim = 50, nr_points = 500):
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x = np.linspace(-x_lim, x_lim, nr_points)
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z = np.linspace(-z_lim, z_lim, nr_points)
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if abs:
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B_z, B_x = self.B_tot_along_axis(I_current, x, z)
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else:
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B_z, B_x = self.B_field(I_current, x, z)
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B_z_curvature = np.gradient(np.gradient(B_z, z), z)
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plt.figure(100, figsize=(13, 10))
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# plt.rcParams.update({'font.size': 15})
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plt.suptitle("Helmholtz coil field B_z along z-axis")
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# Field plot
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##########################
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plt.subplot(2, 1, 1)
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plt.plot(z, B_z, linestyle="solid", label=r"$B_z$: Result via elliptic integrals")
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# plt.xlim(-0.01,0.01)
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plt.plot(z, B_z, linestyle="solid", label=r"$B_{tot}$ along z-axis")
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plt.plot(x, B_x, label = r"$B_{tot}$ along x-axis")
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plt.title("B-field")
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plt.ylabel(r"$B_z$ [G]")
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plt.xlabel("z-axis [mm]")
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plt.ylabel(r"B-field [G]")
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plt.xlabel("x-axis / z-axis [mm]")
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plt.legend()
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plt.show()
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plt.subplot(2, 1, 2)
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plt.plot(z, B_z_curvature, linestyle="solid", label=r"$\nabla_z^2 B_z$: Result via elliptic integrals")
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def B_grad_quick_plot(self, I_current, x_lim = 50, z_lim = 50, nr_points = 500):
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x = np.linspace(-x_lim, x_lim, nr_points)
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z = np.linspace(-z_lim, z_lim, nr_points)
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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.xlim(-10, 10)
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plt.title("Curvature of B-field")
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plt.legend(loc='lower right')
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B_z, B_x = self.B_field(I_current, x, z)
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# TODO: Think about Gradient calculation of tot B_field
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B_z = BCoil.grad(B_z, z)
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B_x = BCoil.grad(B_x, x)
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plt.plot(z, B_z, linestyle="solid", label=r"$B_{tot}$ along z-axis")
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plt.plot(x, B_x, label=r"$B_{tot}$ along x-axis")
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plt.title("Gradient of B-field")
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plt.ylabel(r"B-field [G]")
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plt.xlabel("x-axis / z-axis [mm]")
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plt.legend()
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plt.show()
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def B_curv_quick_plot(self, I_current, x_lim=50, z_lim=50, nr_points=500):
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x = np.linspace(-x_lim, x_lim, nr_points)
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z = np.linspace(-z_lim, z_lim, nr_points)
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B_z, B_x = self.B_field(I_current, x, z)
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B_z = BCoil.curv(B_z, z)
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B_x = BCoil.curv(B_x, x)
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plt.plot(z, B_z, linestyle="solid", label=r"$B_{tot}$ along z-axis")
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plt.plot(x, B_x, label=r"$B_{tot}$ along x-axis")
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plt.title("B-field")
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plt.ylabel(r"B-field [G]")
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plt.xlabel("x-axis / z-axis [mm]")
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plt.legend()
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plt.show()
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def Bz_plot_HH_comp(self, Coil2, I_current, x, z):
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@ -601,11 +617,15 @@ class BCoil:
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def main():
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HH_Coil = BCoil(HH=1, distance=50, radius=40, layers=8, windings=3, wire_height=0.4, wire_width=0.4,
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HH_Coil = BCoil(HH=-1, distance=50, radius=40, layers=8, windings=8, wire_height=0.4, wire_width=0.4,
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insulation_thickness=0.2, is_round = True, winding_offset=True)
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#ras = HH_Coil.full_raster(raster_value = 3)
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# print(HH_Coil.is_round)
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HH_Coil.plot_raster(4)
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#HH_Coil.plot_raster(4)
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HH_Coil.B_quick_plot(1.25, abs = True)
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HH_Coil.B_grad_quick_plot(1.25)
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#HH_Coil.B_curv_quick_plot(1.25)
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# if True & 1 == 1:
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# print("test")
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#print(ras)
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@ -622,7 +642,7 @@ def main():
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#
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# HH_Coil.plot_raster(3)
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# ras = HH_Coil.full_raster(10)
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HH_Coil.plot_3d(1.25,50,50)
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#HH_Coil.plot_3d(1.25,50,50)
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main()
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# if __name__ == "__main__":
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