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diff --git a/3472/CH10/EX10.2/Example10_2.sce b/3472/CH10/EX10.2/Example10_2.sce new file mode 100644 index 000000000..c8ae3e8f3 --- /dev/null +++ b/3472/CH10/EX10.2/Example10_2.sce @@ -0,0 +1,57 @@ +// 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 3: STEADY STATE CHARACTERISTICS AND PERFORMANCE OF TRANSMISSION LINES
+
+// EXAMPLE : 3.2 :
+// Page number 128-129
+clear ; clc ; close ; // Clear the work space and console
+
+// Given data
+l = 10.0 // Length(km)
+V_s = 11.0*10**3 // Sending end voltage(V)
+P = 1000.0*10**3 // Load delivered at receiving end(W)
+PF_r = 0.8 // Receiving end lagging power factor
+r = 0.5 // Resistance of each conductor(ohm/km)
+x = 0.56 // Reactance of each conductor(ohm/km)
+
+// Calculations
+// Case(a)
+R = r*l // Resistance per phase(ohm)
+X = x*l // Reactance per phase(ohm)
+E_s = V_s/3**0.5 // Phase voltage(V)
+I = P/(3**0.5*V_s*PF_r) // Line current(A)
+// Case(b)
+sin_phi_r = (1-PF_r**2)**0.5 // SinĪ_R
+E_r = E_s-I*R*PF_r-I*X*sin_phi_r // Receiving end voltage(V)
+E_r_ll = 3**0.5*E_r/1000 // Receiving end line to line voltage(kV)
+// Case(c)
+loss = 3*I**2*R // Loss in the transmission line(W)
+P_s = P+loss // Sending end power(W)
+n = P/P_s*100 // Transmission efficiency(%)
+// Alternate method
+Z = R**2+X**2
+P_A = 1.0/3*P // Load delivered(W/phase)
+Q = 1.0*P*sin_phi_r/(3*PF_r) // Reactive load delivered(VAR/phase)
+A = (V_s**2/3.0)-2*(P_A*R+Q*X) // Constant
+B = (1/9.0)*P**2*Z/PF_r**2 // Constant
+const = (A**2-4*B)**0.5 // sqrt(A^2-4B)
+E_r_A = ((A+const)/2)**0.5/1000.0 // Receiving end voltage(kV/phase)
+E_r_A_ll = 3**0.5*E_r_A // Receiving end line-line voltage(kV)
+I_A = P/(3**0.5*E_r_A_ll*1000*PF_r) // Line current(A)
+loss_A = 3*I_A**2*R // Loss in the transmission line(W)
+P_s_A = P+loss_A // Sending end power(W)
+n_A = P/P_s_A*100 // Transmission efficiency(%)
+
+// Results
+disp("PART II - EXAMPLE : 3.2 : SOLUTION :-")
+printf("\nCase(a): Line current, |I| = %.1f A", I)
+printf("\nCase(b): Receiving end voltage, E_r = %.f V (line-to-neutral) = %.2f kV (line-to-line)", E_r,E_r_ll)
+printf("\nCase(c): Efficiency of transmission = %.2f percent \n", n)
+printf("\nAlternative solution by mixed condition:")
+printf("\nCase(a): Line current, |I| = %.1f A", I_A)
+printf("\nCase(b): Receiving end voltage, E_r = %.3f kV/phase = %.2f kV (line-line)", E_r_A,E_r_A_ll)
+printf("\nCase(c): Efficiency of transmission = %.2f percent", n_A)
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