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authorSiddharth Agarwal2019-09-03 18:27:40 +0530
committerSiddharth Agarwal2019-09-03 18:27:40 +0530
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+
+// ELECTRICAL MACHINES
+// R.K.Srivastava
+// First Impression 2011
+// CENGAGE LEARNING INDIA PVT. LTD
+
+// CHAPTER : 5 : INDUCTION MACHINES
+
+// EXAMPLE : 5.22
+
+clear ; clc ; close ; // Clear the work space and console
+
+
+// GIVEN DATA
+
+Wsc = 1000; // Power at Blocked Rotor test in Watts
+Vsc = 56; // Voltage at Blocked Rotor test in Volts
+Isc = 18; // Current at Blocked Rotor test in Amphere
+Woc = 52; // Power at No-load test in Watts
+Voc = 220; // Voltage at No-load test in Volts
+Ioc = 2.6; // Current at No-load test in Amphere
+m = 3; // Total Number of phase in Induction Motor
+p = 4; // Total number of Poles of Induction Motor
+V = 220; // Operating voltage of the Induction motor in Volts
+f = 50; // Frequency in Hertz
+s = 0.05; // Slip
+R = 0.65; // Per phase stator Resistance in Ohms
+
+
+// CALCULATIONS
+
+Vph = Voc/sqrt(3); // Per phase Voltage in Volts
+Wo = Woc/m; // Per phase No-load loss in Watts
+theta_0 = acosd(Wo/(Voc*Ioc*sqrt(3))); // No-load power factor angle in degree
+VSC = Vsc/sqrt(3); // Per phase locked rotor Voltage in Volts
+WSC = Wsc/m; // Per phase locked rotor loss in Watts
+theta_sc = acosd(WSC/(VSC*Isc)); // No-load power factor angle in degree
+ISC = Isc*(Voc/Vsc); // locked rotor current at full Voltage in Amphere
+Re = WSC/Isc^2; // Resistance in Ohms
+R1 = R*1.1; // Per phase AC stator Resistance in Ohms
+R_2 = Re - R1; // Per phase rotor Resistance in Ohms
+Zsc = VSC/Isc; // Per phase impedance in Ohms
+Xs = sqrt((Zsc^2)-(Re^2)); // Leakage Reactance in Ohms
+I_2 = (Voc/sqrt(3))/sqrt((R1+(R_2/s))^2+(Xs^2)); // Current in Amphere
+pf = cosd(atand(Xs/(R1+(R_2/s)))); // Power Factor
+Ws = 2*%pi*((120*f/p)*(1/60)); // Rotational Speed in Radians per Seconds
+Pg = (3*(abs(I_2)^2*R_2))/s; // 3-phase air gap power or Rotor intake Power in Watts
+T = Pg/Ws; // Torque in Newton-Meter
+// CALCULATIONS OR DATA OBTAINED FROM CIRCLE DIAGRAM FIGURE 5.35 and PAGE NO:-303
+OA = 2.60; // Correspounding Current in Amphere at 87' from Y-axis (from Circle diagram)
+OE = 70.70; // Correspounding Current in Amphere at 55' from Y-axis (from Circle diagram)
+OP = 17.77; // Current in Amphere (from Circle diagram)
+OV = Voc/sqrt(3); // Phase Voltage in No-load test or value obatined from circle diagram in Volts
+PK = 11.6; // Correspounding Value from Circle diagram
+JK = 0.8; // Correspounding Value from Circle diagram
+PJ = 10.8; // Correspounding Value from Circle diagram
+PM = 11.6; // Correspounding Value from Circle diagram
+Pir = 3*OV*PK; // Total Rotor intake in Watts
+Plr = 3*OV*JK; // Total Rotor loss in Watts
+Po = 3*OV*PJ; // Total Mechanical power output in Watts
+T_c = (3*OV*PK)/Ws; // Total Torque in Newton-Meter
+s_c = JK/PK; // Slip obtained from Circle diagram
+s_pc = 100*s_c; // Slip in percentage
+eta = 100*(PJ/PM); // Eifficiency in Percentage
+
+
+// DISPLAY RESULTS
+
+disp("EXAMPLE : 5.22 : SOLUTION :-");
+printf("\n (a) Input line current, I2 = %.2f A \n",I_2)
+printf("\n (b) Power Factor, Pf = %.3f \n",pf)
+printf("\n (c) Torque, T = %.2f Nm \n",T)
+printf(" \n Verification Results from Circle Diagram :-\n");
+printf("\n (a) Efficency, eta = %.2f Percent \n",eta)
+printf("\n (b) slip, s = %.3f = %.f percent \n",s_c,s_pc)
+printf("\n (c) Torque, T = %.2f Nm \n",T_c)