The rated power of an asynchronous motor with a squirrel-cage rotor is PN = 7.5 kW, with a supply voltage of U1N = 220 V connected in delta, I1N = 27.54 A, power factor Cosφ1N = 0.85, frequency f = 50 Hz, pole pair number 2p = 4, nominal rotor speed at full load nr = 1440 rpm, and the induced voltage on the rotor at standstill U20 = 260 V. The nominal rotor current in star connection is I2N = 24 A. The winding temperature of the motor was measured as 75°C and the resistance between two phases was found as Ru,v1 = 0.24 ohm.
a-) Find the rotor impedance Z2, R2, X2σo, power factor Cosφ2N, phase voltage U2, and frequency f2 at nominal conditions.
b-) When the motor is overloaded, it draws a current of I1N = 30 A from the grid. Calculate the apparent, active, and reactive powers drawn from the grid and determine the loading ratio of the motor.