-fixed inductance calculation

-added measured value of wire resistance
-checking simulation vs BoDy's coils
-final coil configuration

coil_design/src/coil_helpers.py

@@ -25,21 +25,35 @@ def circular_HH(HH, radius, distance, layers, windings,
         HH_Coil.print_info()
         print(f"N = {HH_Coil.get_N()}")
         print(f"wire length = {HH_Coil.get_wire_length()} m")
-        print(f"R = {HH_Coil.resistance(25)} Ohm")
-        print(f"L = {HH_Coil.induct_perry()*1e3} mH")
-        print(f"tau = {HH_Coil.tau() *1e3} ms")
 
         HH_Coil.plot_raster()
 
+        #### total inductance from Lenny's code ####
+        def Self_Inductance_Abbot(alpha, beta, gamma, N):
+            """
+            Formula for self inductance of circular coil by J.J.Abbott
+            """
+            L = (7.9e-6 * alpha**2 * N**2) / (3*alpha + 9*beta + 10*gamma)
+            return L
+
+        alpha = 2*radius
+        beta = HH_Coil.get_coil_width()
+        gamma = HH_Coil.get_coil_height()
+        N = HH_Coil.get_N()
+        dist = distance
+
+        L_pair = Self_Inductance_Abbot(alpha, dist + beta, gamma, N) +Self_Inductance_Abbot(alpha, dist - beta, gamma, N) - 2 * Self_Inductance_Abbot(alpha, dist, gamma, N) + 2 * Self_Inductance_Abbot(alpha, beta, gamma, N)
+        R_pair = 2*HH_Coil.get_wire_length() * 0.08708
+
         print("Pair in series:")
         print(f"wire length = {2*HH_Coil.get_wire_length()} m")
         print(f"R = {2*HH_Coil.resistance(25)} Ohm")
-        print(f"L = {2*HH_Coil.induct_perry()*1e3} mH")
+        print(f"L = {L_pair*1e3} mH")
-        print(f"tau = {HH_Coil.tau() *1e3} ms")
+        print(f"tau = {L_pair/R_pair*1e3} ms")
 
         print(f"\nat {I} A:")
-        print(f"V = {2*HH_Coil.resistance(25)*I} V")
+        print(f"V = {R_pair*I} V")
-        print(f"P = {2*HH_Coil.resistance(25)*I**2} W")
+        print(f"P = {R_pair*I**2} W")
 
     #### calculate field properties ####
 
@@ -138,32 +152,45 @@ def rectangular_HH(HH, a, b, distance, corner_radius, layers, windings,
 
         wire_length = N*(2*a - 4*corner_radius + 2*b - 4*corner_radius + 2*np.pi*corner_radius)
         print(f"wire length = {wire_length} m")
-        R = HH_Coil.resistivity_copper(25) * wire_length / HH_Coil.get_wire_area()
-        print(f"R = {R} Ohm")
-
-        #use abbotts formula to get upper bound on inductivity
-        L = 1e-5*max(a,b)**2 * N**2 /(3*max(a,b) +
-                                      9*HH_Coil.get_coil_height() +
-                                      10*HH_Coil.get_coil_width())
-        print(f"L = {L*1e3} mH")
-
-        tau = L/R
-        print(f"tau = {tau *1e3} ms")
 
         HH_Coil.plot_raster()
 
 
+        #### total inductance from Lenny's code ####
+        #convert to centimeters
+        a *= 100
+        b *= 100
+        distance *= 100
+        p1 = (a + np.sqrt(a ** 2 + distance ** 2)) * np.sqrt(b ** 2 + distance ** 2) / ((a + np.sqrt(a ** 2 + b ** 2 + distance ** 2)) * distance)
+        p2 = (b + np.sqrt(b ** 2 + distance ** 2)) * np.sqrt(a ** 2 + distance ** 2) / ((b + np.sqrt(a ** 2 + b ** 2 + distance ** 2)) * distance)
+        p3 = np.sqrt(a ** 2 + b ** 2 + distance ** 2) - np.sqrt(a ** 2 + distance ** 2) - np.sqrt(b ** 2 + distance ** 2) + distance
+        M = 4 * (a * np.log(p1) + b * np.log(p2)) + 8 * p3
+        M *= N**2 * 1e-9 #Conversion to SI and accounting for N wires
+
+        r = (wire_width/2 + insulation_thickness) * 100
+        diag = np.sqrt(a**2 + b**2)
+        L_self = 4 * ( (a+b) * np.log(2*a*b / r) - a * np.log(a+diag) - b * np.log(b+diag) - 7/4 * (a+b) + 2 * (diag + r) )
+        L_self *= N**2 * 1e-9 #Conversion to SI and accounting for N wires
+
+        L_pair = 2 * (L_self+M)
+
+        R_pair = 2*wire_length * 0.08708
+
         print("Pair in series:")
         print(f"wire length = {2*wire_length} m")
-        print(f"R = {2*R} Ohm")
+        print(f"R = {R_pair} Ohm")
-        print(f"L = {2*L*1e3} mH")
+        print(f"L = {L_pair*1e3} mH")
-        print(f"tau = {tau *1e3} ms")
+        print(f"tau = {L_pair/R_pair *1e3} ms")
 
         print(f"\nat {I} A:")
-        print(f"V = {2*R*I} V")
+        print(f"V = {R_pair*I} V")
-        print(f"P = {2*R*I**2} W")
+        print(f"P = {R_pair*I**2} W")
 
     #### calculate field properties ####
+        #convert back to meters
+        a /= 100
+        b /= 100
+        distance /= 100
 
     #define coils
     winding_offsets = HH_Coil.full_raster(raster_value=1)[:,0]