A 208-V, Y-connected synchronous motor is drawing 40 A at unity power factor from a 208-V power system. The field current flowing under these conditions is 3 A. Its synchronous reactance is 0.7 ohms. Assume a linear open-circuit characteristic. (a) Find the torque angle 8. (b) How much field current would be required to make the motor operate at 0.9 PF leading? (c) What is the new torque angle?

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A 208-V, Y-connected synchronous motor is drawing 40 A at unity power
factor from a 208-V power system. The field current flowing under these
conditions is 3 A. Its synchronous reactance is 0.7 ohms. Assume a linear
open-circuit characteristic. (a) Find the torque angle d. (b) How much field
current would be required to make the motor operate at 0.9 PF leading? (c)
What is the new torque angle?
Reminder: 208 V is terminal voltage.
Hints: (1) Since the power supplied by the motor is constant, the quantity (IA cose). which is directly
proportional to power, must be constant. (2) The internal generated voltage EA is assumed to be directly
proportional to the field current.
Transcribed Image Text:A 208-V, Y-connected synchronous motor is drawing 40 A at unity power factor from a 208-V power system. The field current flowing under these conditions is 3 A. Its synchronous reactance is 0.7 ohms. Assume a linear open-circuit characteristic. (a) Find the torque angle d. (b) How much field current would be required to make the motor operate at 0.9 PF leading? (c) What is the new torque angle? Reminder: 208 V is terminal voltage. Hints: (1) Since the power supplied by the motor is constant, the quantity (IA cose). which is directly proportional to power, must be constant. (2) The internal generated voltage EA is assumed to be directly proportional to the field current.
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