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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3472/CH10/EX10.16/Example10_16.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '3472/CH10/EX10.16/Example10_16.sce')
| -rw-r--r-- | 3472/CH10/EX10.16/Example10_16.sce | 51 |
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diff --git a/3472/CH10/EX10.16/Example10_16.sce b/3472/CH10/EX10.16/Example10_16.sce new file mode 100644 index 000000000..d2b1addfd --- /dev/null +++ b/3472/CH10/EX10.16/Example10_16.sce @@ -0,0 +1,51 @@ +// 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 : 3.16 :
+// Page number 145-146
+clear ; clc ; close ; // Clear the work space and console
+funcprot(0)
+
+// Given data
+V_r = 132.0*10**3 // Receiving end voltage(V)
+f = 50.0 // Frequency(Hz)
+L = 200.0 // Line length(km)
+l = 1.3*10**-3 // Inductance(H/km)
+c = 9.0*10**-9 // Capacitance(F/km)
+r = 0.2 // Resistance(ohm/km)
+g = 0.0 // Conductance(mho/km)
+P_r = 50.0*10**6 // Power received(VA)
+PF_r = 0.8 // Lagging power factor at receiving end
+
+// Calculations
+z = r+%i*2*%pi*f*l // Total impedance(ohm/km)
+y = g+%i*2*%pi*f*c // Total susceptance(mho/km)
+Z_c = (z/y)**0.5 // Surge impedance(ohm)
+gamma = (z*y)**0.5 // γ
+gamma_l = gamma*L // γl
+cosh_gl = cosh(gamma_l) // cosh γl
+sinh_gl = sinh(gamma_l) // sinh γl
+V_2 = V_r/(3**0.5) // Receiving end phase voltage(V)
+I_2 = P_r/(3*V_2)*exp(%i*-acos(PF_r)) // Line current(A)
+V_1 = V_2*cosh_gl+I_2*Z_c*sinh_gl // Sending end voltage(V)
+V_1kV = V_1/1000.0 // Sending end voltage(kV)
+I_1 = (V_2/Z_c)*sinh_gl+I_2*cosh_gl // Sending end current(A)
+angle_V2_V1 = phasemag(V_1) // Angle between V_2 and V_1(°)
+angle_V2_I1 = phasemag(I_1) // Angle between V_2 and I_1(°)
+angle_V1_I1 = angle_V2_V1-angle_V2_I1 // Angle between V_1 and I_1(°)
+PF_s = cosd(angle_V1_I1) // Sending end power factor
+P_1 = 3*abs(V_1*I_1)*PF_s // Sending end power(W)
+P_2 = P_r*PF_r // Receiving end power(W)
+n = P_2/P_1*100 // Efficiency
+
+// Results
+disp("PART II - EXAMPLE : 3.16 : SOLUTION :-")
+printf("\nSending end voltage, V_1 = %.3f∠%.4f° kV per phase", abs(V_1kV),phasemag(V_1kV))
+printf("\nSending end current, I_1 = %.3f∠%.2f° A", abs(I_1),phasemag(I_1))
+printf("\nPower factor = %.3f ", PF_s)
+printf("\nEfficiency, η = %.2f percent", n)
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