Question 1 A 30 hp, three-phase, wye connected, 60 Hz, 360 Vu, synchronous motor is operating at 50% full load, rated voltage and 0.8 pf leading (over-excited). The motor has negligible armature resistance and a synchronous reactance of 2.5 2 /phase. Stator core loss is 1kW and friction and windage loss is 1.5 kW. (a) (b) (c) Draw a phasor diagram to illustrate the leading power factor operating condition. Show symbols only Calculate the motor line-to-neutral excitation voltage and load angle when it is operating at 50% full load, rated voltage and 0.8 pf leading (over-excited). Eo(LN) 8 Draw a phasor diagram to illustrate the lagging power factor operating condition. Show symbols only.

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Question 1
A 30 hp, three-phase, wye connected, 60 Hz, 360 VL, synchronous motor is operating at 50%
full load, rated voltage and 0.8 pf leading (over-excited). The motor has negligible armature
resistance and a synchronous reactance of 2.5 2 /phase. Stator core loss is 1kW and friction
and windage loss is 1.5 kW.
(a)
(b)
(c)
(d)
(a)
Draw a phasor diagram to illustrate the leading power factor operating condition. Show
symbols only
Calculate the motor line-to-neutral excitation voltage and load angle when it is operating
at 50% full load, rated voltage and 0.8 pf leading (over-excited).
Eo(LN)
8
Draw a phasor diagram to illustrate the lagging power factor operating condition. Show
symbols only.
Calculate the new value of line-to-neutral excitation voltage and load angle when the
field current is adjusted for 0.85 pf lagging with the same 15 hp load.
Eo(LN)
8
Determine the load angle, current (with angle), and the reactive power exported
(positive) or imported (negative), when the motor load is 30 hp and the line-to-
neutral excitation voltage is 255V.
8
ILZ
Q
Transcribed Image Text:Question 1 A 30 hp, three-phase, wye connected, 60 Hz, 360 VL, synchronous motor is operating at 50% full load, rated voltage and 0.8 pf leading (over-excited). The motor has negligible armature resistance and a synchronous reactance of 2.5 2 /phase. Stator core loss is 1kW and friction and windage loss is 1.5 kW. (a) (b) (c) (d) (a) Draw a phasor diagram to illustrate the leading power factor operating condition. Show symbols only Calculate the motor line-to-neutral excitation voltage and load angle when it is operating at 50% full load, rated voltage and 0.8 pf leading (over-excited). Eo(LN) 8 Draw a phasor diagram to illustrate the lagging power factor operating condition. Show symbols only. Calculate the new value of line-to-neutral excitation voltage and load angle when the field current is adjusted for 0.85 pf lagging with the same 15 hp load. Eo(LN) 8 Determine the load angle, current (with angle), and the reactive power exported (positive) or imported (negative), when the motor load is 30 hp and the line-to- neutral excitation voltage is 255V. 8 ILZ Q
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