A 575 V, 50 kW, 60 Hz three phase synchronous motor has a synchronous reactance of Xx = 4.65 N, and an armature to field mutual inductance Laf = 105 mH. The motor is operating at rated speed, terminal voltage, and an output power of 40 kWw. Ignoring losses in the motor, calculate the magnitude and phase angle of the L-N generated voltage Ēaf and the field current I, if the motor is operating at a. 0.9 pf lagging b. Unity pf c. 0.9 pf leading d. Repeat the problem if operating as a generator with power output of 40 kW.

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A 575 V, 50 kW, 60 Hz three phase synchronous motor has a synchronous reactance of
Xx = 4.65 N, and an armature to field mutual inductance Laf = 105 mH. The motor is
operating at rated speed, terminal voltage, and an output power of 40 kW. Ignoring
losses in the motor, calculate the magnitude and phase angle of the L-N generated
voltage Ēaf and the field current I; if the motor is operating at
a. 0.9 pf lagging
b. Unity pf
c. 0.9 pf leading
d. Repeat the problem if operating as a generator with power output of 40 kW.
Transcribed Image Text:A 575 V, 50 kW, 60 Hz three phase synchronous motor has a synchronous reactance of Xx = 4.65 N, and an armature to field mutual inductance Laf = 105 mH. The motor is operating at rated speed, terminal voltage, and an output power of 40 kW. Ignoring losses in the motor, calculate the magnitude and phase angle of the L-N generated voltage Ēaf and the field current I; if the motor is operating at a. 0.9 pf lagging b. Unity pf c. 0.9 pf leading d. Repeat the problem if operating as a generator with power output of 40 kW.
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