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diff --git a/1820/CH9/EX9.10/Example9_10.sce b/1820/CH9/EX9.10/Example9_10.sce new file mode 100755 index 000000000..5782c9c3e --- /dev/null +++ b/1820/CH9/EX9.10/Example9_10.sce @@ -0,0 +1,84 @@ +// ELECTRIC POWER TRANSMISSION SYSTEM ENGINEERING ANALYSIS AND DESIGN
+// TURAN GONEN
+// CRC PRESS
+// SECOND EDITION
+
+// CHAPTER : 9 : SYMMETRICAL COMPONENTS AND FAULT ANALYSIS
+
+// EXAMPLE : 9.10 :
+clear ; clc ; close ; // Clear the work space and console
+
+// GIVEN DATA
+Z_0 = 0.2619 * %i ;
+Z_1 = 0.25 * %i ;
+Z_2 = 0.25 * %i ;
+v = 1 * exp(%i*0*%pi/180) ;
+a = 1 * exp(%i*120*%pi/180) ; // By symmetrical components theory to 3-Φ system
+A = [1 1 1; 1 a^2 a ;1 a a^2] ;
+
+// CALCULATIONS
+// For case (b)
+I_a0 = v/(Z_0 + Z_1 + Z_2) ; // Sequence currents at fault point F in pu A
+I_a1 = I_a0 ;
+I_a2 = I_a0 ;
+
+// For case (c)
+I_a1g1 = (1/2) * I_a1 ; // Sequence current at terminals of generator G1 in pu A
+I_a2g1 = (1/2) * I_a2 ;
+I_a0g1 = 0.5/(0.55 + 0.5)*I_a0 ; // By current division in pu A
+
+// For case (d)
+I_f = [A] * [I_a0g1 ; I_a1g1 ; I_a2g1] ; // Phase current at terminal of generator G1 in pu A
+
+// For case (e)
+V_a = [0 ; v ; 0] - [Z_0 0 0 ; 0 Z_1 0 ; 0 0 Z_2]*[I_a0g1 ; I_a1g1 ; I_a2g1] ; // Sequence voltage in pu V
+
+// For case (f)
+V_f = [A]*[V_a] ; // Phase voltage at terminal of generator G1 in pu V
+
+// For case (g)
+I_a1g2 = (1/2) * I_a1 ; // By symmetry for Generator G2
+I_a2g2 = (1/2) * I_a2 ;
+I_a0g2 = 0 ; // By inspection
+// V_a1(HV) leads V_a1(LV) by 30 degree & V_a2(HV) lags V_a2(LV) by 30 degree
+I_a0G2 = I_a0g2 ;
+I_a1G2 = abs(I_a1g2)*exp(%i * (atand( imag(I_a1g2),real(I_a1g2) ) - 30) * %pi/180) ; // (-90-30) = (-120)
+I_a2G2 = abs(I_a2g2)*exp(%i *(atand( imag(I_a2g2),real(I_a2g2) ) + 30) * %pi/180) ; // (-90+30) = (-60)
+
+I_f2 = [A] * [I_a0G2 ; I_a1G2 ; I_a2G2] ; // Phase current at terminal of generator G2 in pu A
+
+ // Sequence voltage at terminal of generator G2 in pu V
+V_a0G2 = 0 ;
+V_a1G2 = abs(V_a(2,1))*exp(%i * (atand( imag(V_a(2,1)),real(V_a(2,1)) ) - 30) * %pi/180) ; // (0-30) = (-30)
+V_a2G2 = abs(V_a(3,1))*exp(%i * (atand( imag(V_a(3,1)),real(V_a(3,1)) ) + 30) * %pi/180) ; // (180+30)=(210)=(-150)
+
+V_f2 = A * [V_a0G2 ; V_a1G2 ; V_a2G2] ; // Phase voltage at terminal of generator G2 in pu V
+
+// DISPLAY RESULTS
+disp("EXAMPLE : 9.10 : SOLUTION :-") ;
+printf("\n (b) The sequence current at fault point F , I_a0 = I_a1 = I_a2 = %.4f<%.f pu A \n",abs(I_a0),atand(imag(I_a0),real(I_a0) )) ;
+printf("\n (c) Sequence currents at the terminals of generator G1 , \n") ;
+printf("\n I_a0,G_1 = %.4f<%.f pu A ",abs(I_a0g1),atand( imag(I_a0g1),real(I_a0g1) )) ;
+printf("\n I_a1,G_1 = %.4f<%.f pu A ",abs(I_a1g1),atand( imag(I_a1g1),real(I_a1g1) )) ;
+printf("\n I_a2,G_1 = %.4f<%.f pu A ",abs(I_a2g1),atand( imag(I_a2g1),real(I_a2g1) )) ;
+printf("\n \n (d) Phase currents at terminal of generator G1 are , [I_af ; I_bf ; I_cf] = pu A \n") ;
+printf("\n %.4f<%.f ",abs(I_f),atand(imag(I_f),real(I_f) )) ;
+printf("\n \n (e) Sequence voltages at the terminals of generator G1 , [V_a0 ; V_a1 ; V_a2 ] = pu V \n") ;
+printf("\n %.4f<%.1f ",abs(V_a),atand(imag(V_a),real(V_a) )) ;
+printf("\n \n (f) Phase voltages at terminal of generator G1 are , [V_af ; V_bf ; V_cf] = pu V \n") ;
+printf("\n %.4f<%.1f ",abs(V_f),atand(imag(V_f),real(V_f) )) ;
+printf("\n \n (g) Sequence currents at the terminals of generator G2 , \n") ;
+printf("\n I_a0,G_2 = %.f<%.f pu A ",abs(I_a0G2),atand( imag(I_a0G2),real(I_a0G2) )) ;
+printf("\n I_a1,G_2 = %.4f<%.f pu A",abs(I_a1G2),atand( imag(I_a1G2),real(I_a1G2) )) ;
+printf("\n I_a2,G_2 = %.4f<%.f pu A",abs(I_a2G2),atand( imag(I_a2G2),real(I_a2G2) )) ;
+printf("\n \n Phase currents at terminal of generator G2 are , [I_af ; I_bf ; I_cf] = pu A \n") ;
+printf("\n %.4f<%.f ",abs(I_f2),atand(imag(I_f2),real(I_f2) )) ;
+printf("\n \n Sequence voltages at the terminals of generator G2 , [V_a0 ; V_a1 ; V_a2 ] = pu V\n") ;
+printf("\n %.f<%.f ",abs(V_a0G2),atand( imag(V_a0G2),real(V_a0G2) )) ;
+printf("\n %.4f<%.f ",abs(V_a1G2),atand( imag(V_a1G2),real(V_a1G2) )) ;
+printf("\n %.4f<%.f ",abs(V_a2G2),atand( imag(V_a2G2),real(V_a2G2) )) ;
+printf("\n \n Phase voltages at terminal of generator G2 are , [V_af ; V_bf ; V_cf] = pu V \n") ;
+printf("\n %.4f<%.1f ",abs(V_f2),atand(imag(V_f2),real(V_f2) )) ;
+
+printf("\n \n NOTE : ERROR : Calclation mistake in textbook case(f) ") ;
+printf("\n In case (g) V_a2 = 0.1641<-150 is same as textbook answer V_a2 = 0.1641<210 , i.e (360-150)=210 \n") ;
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