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diff --git a/1092/CH12/EX12.18/Example12_18.sce b/1092/CH12/EX12.18/Example12_18.sce new file mode 100755 index 000000000..0e0b3e7ad --- /dev/null +++ b/1092/CH12/EX12.18/Example12_18.sce @@ -0,0 +1,60 @@ +// Electric Machinery and Transformers
+// Irving L kosow
+// Prentice Hall of India
+// 2nd editiom
+
+// Chapter 12: POWER,ENERGY,AND EFFICIENCY RELATIONS OF DC AND AC DYNAMOS
+// Example 12-18
+
+clear; clc; close; // Clear the work space and console.
+
+// Given data (Ex.12-16)
+// code letter = J
+P = 6 ; // Number of poles
+S_r = 1176 ; // rotor speed in rpm
+V = 220 ; // Rated voltage of SCIM in volt
+f = 60 ; // Frequency in Hz
+hp_SCIM = 7.5 ; // Power rating of SCIM in hp
+
+R_ap = 0.3 ; // armature resistance in ohm/phase
+R_r = 0.144 ; // rotor resistance in ohm/phase
+jX_m = 13.5 ; // reactance in ohm/phase
+jX_s = 0.5 ; // synchronous reactance in ohm/phase
+jX_lr = 0.2 ; // Locked rotor reactance in ohm/phase
+P_r = 300 ; // Rotational losses in W
+s = 1 ; // unity slip
+
+disp("Example 12-18 Solution : ");
+
+printf(" \n The ratio R_r/s = %.3f ohm, in fig.12-11 , using the format method ",R_r/s);
+printf(" \n of mesh analysis,we may write the array by inspection :\n ");
+printf(" \n_______________________________________________");
+printf(" \n \t I_1 \t I_2 \t\t V ");
+printf(" \n_______________________________________________");
+printf(" \n\t (0.3+j14) -(0+j13.5) \t(127+j0)");
+printf(" \n\t-(0+j13.5) (0.144+j13.7) \t 0");
+printf(" \n_______________________________________________\n");
+
+// Calculations
+
+A = [ (0.3 + %i*14) -%i*13.5 ; (-%i*13.5) (0.144 + %i*13.7) ]; // Matrix containing above mesh eqns array
+delta = det(A); // Determinant of A
+
+// case a : Starting stator current I_s per phase in A
+I_s = det( [ (127+%i*0) (-%i*13.5) ; 0 (0.144 + %i*13.7) ] ) / delta ;
+I_s_m = abs(I_s);//I_s_m=magnitude of I_s in A
+I_s_a = atan(imag(I_s) /real(I_s))*180/%pi;//I_s_a=phase angle of I_s in degrees
+
+// case b : power factor of the motor at starting
+theta = I_s_a ; // Motor PF angle in degrees
+cos_theta = cosd(theta); // Motor PF
+
+// Display the results
+disp("Solution : ");
+printf(" \n a: Starting stator current of SCIM :\n I_s = I_1 = ");disp(I_s);
+printf(" \n I_s = I_1 = %.2f <%.2f A \n ",I_s_m , I_s_a );
+
+printf(" \n b: Power factor of the motor at starting :\n cosӨ = %.4f ≃ %.3f\n",cos_theta,cos_theta);
+
+printf(" \n Note : I_s = %.2f A calculated in Ex.12-18 falls between the limits",I_s_m);
+printf(" \n found in Ex.12-17. This verifies the mesh analysis technique.");
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