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// A Texbook on POWER SYSTEM ENGINEERING
// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar
// DHANPAT RAI & Co.
// SECOND EDITION
// PART II : TRANSMISSION AND DISTRIBUTION
// CHAPTER 2: CONSTANTS OF OVERHEAD TRANSMISSION LINES
// EXAMPLE : 2.22 :
// Page number 119
clear ; clc ; close ; // Clear the work space and console
// Given data
d = 2.5/100 // Diameter of conductor(m)
V = 132.0*10**3 // Line voltage(V)
f = 50.0 // Frequency(Hz)
h = 4.0 // Height(m)
H = 8.0 // Height of separation(m)
D_1_33 = 7.0 // Distance between conductors 1 & 3'(m)
D_1_22 = 9.0 // Distance between conductors 1 & 2'(m)
D_1_11 = 8.0 // Distance between conductors 1 & 1'(m)
D_1 = 1.0 // Distance(m)
// Calculations
r = d/2 // Radius of conductor(m)
e = 1.0/(36*%pi)*10**-9 // Constant ε_0
D_12 = (h**2+D_1**2)**(1.0/2) // Distance between conductors 1 & 2(m)
D_122 = (h**2+D_1_11**2)**(1.0/2) // Distance between conductors 1 & 2'(m)
D_111 = (D_1_11**2+D_1_33**2)**(1.0/2) // Distance between conductors 1 & 1'(m)
D_1_2 = (D_12*D_122)**(1.0/2) // Mutual GMD(m)
D_2_3 = (D_12*D_122)**(1.0/2) // Mutual GMD(m)
D_3_1 = (D_1_33*D_1_11)**(1.0/2) // Mutual GMD(m)
D_eq = (D_1_2*D_2_3*D_3_1)**(1.0/3) // Equivalent GMD(m)
D_s1 = (r*D_111)**(1.0/2) // Self GMD in position 1(m)
D_s2 = (r*D_1_22)**(1.0/2) // Self GMD in position 2(m)
D_s3 = (r*D_111)**(1.0/2) // Self GMD in position 3(m)
D_s = (D_s1*D_s2*D_s3)**(1.0/3) // Self GMD(m)
C_n = 2*%pi*e/log(D_eq/D_s) // Capacitance per phase to neutral(F/m)
X_cn = 1/(2.0*%pi*f*C_n) // Capacitive reactance to neutral(ohms/m)
V_ph = V/(3**0.5) // Phase voltage(V)
I_charg = V_ph/X_cn*1000.0 // Charging current per phase(A/km)
// Results
disp("PART II - EXAMPLE : 2.22 : SOLUTION :-")
printf("\nCapacitive reactance to neutral, X_cn = %.2e ohms/m", X_cn)
printf("\nCharging current per phase, I_charg = %.3f A/km", I_charg)
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