Govt. Exams
Entrance Exams
At no-load, the transformer draws mainly reactive (magnetizing) current, which lags the applied voltage by approximately 90°, giving a power factor of about 0.1-0.2.
Synchronous speed Ns = 120f/P = (120 × 50)/4 = 1500 rpm for a 4-pole motor at 50 Hz.
In an autotransformer, the turns ratio is N2/N1 = 400/100 = 4/1, so voltage transformation ratio is Vs/Vp = 1:4 for a step-up autotransformer.
The rotating magnetic field produced by the 3-phase stator winding rotates at synchronous speed (Ns = 120f/P), independent of load or rotor speed.
Using transformer equation: Np/Ns = Is/Ip; 1000/100 = Is/2; Is = 20 A
Full load slip for squirrel-cage motors typically ranges from 3-5% for good efficiency
Ns = 120f/P = 120×50/4 = 1500 rpm
Hysteresis loss = η × B^1.6 × f × V, where η is Steinmetz constant, material property is crucial
Ns = 120f/P = (120 × 50)/8 = 750 RPM. For Nr = 720 RPM, s = (750 - 720)/750 = 30/750 = 0.04 or 4%.
No-load losses consist of hysteresis loss (due to core magnetization reversal) and eddy current loss (due to induced currents in core material). Copper loss occurs only under load.