1H-QUESTION 1 (25 Marks)-2014
A 2 hp, 120 V, 60 Hz, 4-Pole, three-phase, Y-connected synchronous motor has armature resistance and synchronous reactance of 0.2 Ω and 10 Ω, respectively (1 hp = 746 W). The rotational loss, core loss, and field winding loss are 35 W, 20 W, and 30 W, respectively. It is operating at full-load with unity power factor. Determine:
a) Armature current Ia (magnitude and phase angle). (10 Marks)
b) Input power Pin and efficiency n (in percentage). (8 Marks)
c) Excitation voltage Ex (magnitude and phase angle) and power angle θ. (7 Marks)
Solution: Ia = 7.61 A, Z0 = 1611.75 W, n = 92.6%, Ef = 102 V, θ = -48.32.