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diff --git a/3472/CH10/EX10.11/Example10_11.sce b/3472/CH10/EX10.11/Example10_11.sce new file mode 100644 index 000000000..42df73c7a --- /dev/null +++ b/3472/CH10/EX10.11/Example10_11.sce @@ -0,0 +1,73 @@ +// 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 : 3.11 :
+// Page number 135-137
+clear ; clc ; close ; // Clear the work space and console
+
+// Given data
+f = 50.0 // Frequency(Hz)
+R = 28.0 // Resistance(ohm/phasemag)
+X = 63.0 // Inductive reactance(ohm/phasemag)
+Y = 4.0*10**-4 // Capacitive susceptance(mho)
+P_r = 75.0*10**6 // Load at receiving end(VA)
+PF_r = 0.8 // Lagging load power factor
+V_r = 132.0*10**3 // Line voltage at receiving end(V)
+
+// Calculations
+// Case(i) Nominal T method
+Z = complex(R,X) // Total impedance(ohm/phasemag)
+E_r = V_r/3**0.5 // Receiving end phasemag voltage(V)
+I_r = P_r/(3**0.5*V_r)*exp(%i*-acos(PF_r)) // Line current at receiving end(A)
+E = E_r+I_r*(Z/2)
+I_c = %i*Y*E // Capacitive current(A)
+I_s = I_r+I_c // Sending end current(A)
+v_drop = I_s*(Z/2) // Voltage drop(V)
+E_s = E+I_s*(Z/2) // Sending end voltage(V)
+E_s_kV = E_s/1000.0 // Sending end voltage(kV)
+E_s_ll= 3**0.5*abs(E_s) // Sending end line voltage(V)
+E_s_llkV = E_s_ll/1000.0 // Sending end line voltage(kV)
+angle_Er_Es = phasemag(E_s) // Angle between E_r and E_s(°)
+angle_Er_Is = phasemag(I_s) // Angle between E_r and I_s(°)
+angle_Es_Is = angle_Er_Es-angle_Er_Is // Angle between E_s and I_s(°)
+PF_s = cosd(angle_Es_Is) // Sending end power factor
+P_s = 3**0.5*E_s_ll*abs(I_s)*PF_s // Power at sending end(W)
+reg = (abs(E_s_ll)-V_r)/V_r*100 // Regulation(%)
+n = (P_r*PF_r)/P_s*100 // Transmission efficiency(%)
+// Case(ii) Nominal π method
+I_c2 = E_r*(%i*Y/2) // Current through shunt admittance at receiving end(A)
+I = I_r+I_c2 // Line current(A)
+E_s_p = E_r+I*Z // Sending end voltage(V)
+E_s_pkV = E_s_p/1000.0 // Sending end voltage(kV)
+E_s_pll = 3**0.5*abs(E_s_p) // Sending end line voltage(V)
+E_s_pllkV = E_s_pll/1000.0 // Sending end line voltage(kV)
+I_c1 = E_s_p*(%i*Y/2) // Current through shunt admittance at sending end(A)
+I_s_p = I+I_c1 // Sending end current(A)
+angle_Er_Esp = phasemag(E_s) // Angle between E_r and E_s(°)
+angle_Er_Isp = phasemag(I_s) // Angle between E_r and I_s(°)
+angle_Es_Isp = angle_Er_Esp-angle_Er_Isp // Angle between E_s and I_s(°)
+PF_s_p = cosd(angle_Es_Isp) // Sending end power factor
+P_s_p = 3**0.5*E_s_pll*abs(I_s_p)*PF_s_p // Power at sending end(W)
+reg_p = (abs(E_s_pll)-V_r)/V_r*100 // Regulation(%)
+n_p = (P_r*PF_r)/P_s_p*100 // Transmission efficiency(%)
+
+// Results
+disp("PART II - EXAMPLE : 3.11 : SOLUTION :-")
+printf("\n(i) Nominal T method")
+printf("\nCase(a): Voltage at sending end, E_s = %.2f∠%.2f° kV = %.1f kV (line-to-line)", abs(E_s_kV),phasemag(E_s_kV),E_s_llkV)
+printf("\nCase(b): Sending end current, I_s = %.1f∠%.2f° A", abs(I_s),phasemag(I_s))
+printf("\nCase(c): Power factor at sending end = %.4f (lagging)", PF_s)
+printf("\nCase(d): Regulation = %.2f percent", reg)
+printf("\nCase(e): Efficiency of transmission = %.2f percent \n", n)
+printf("\n(ii) Nominal π method")
+printf("\nCase(a): Voltage at sending end, E_s = %.2f∠%.2f° kV = %.1f kV (line-to-line)", abs(E_s_pkV),phasemag(E_s_pkV),E_s_pllkV)
+printf("\nCase(b): Sending end current, I_s = %.1f∠%.2f° A", abs(I_s_p),phasemag(I_s_p))
+printf("\nCase(c): Power factor at sending end = %.4f (lagging)", PF_s_p)
+printf("\nCase(d): Regulation = %.2f percent", reg_p)
+printf("\nCase(e): Efficiency of transmission = %.2f percent \n", n_p)
+printf("\nNOTE: Changes in the obtained answer from that of textbook is due to more precision here and more approximation in textbook")
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