A 4.16 kV, 3-ph industrial plant bus is supplied from the utility mains. Connected to the 4.16 kV plant bus are the following three-phase loads: 1. A 1750 hp induction motor bank operating at 80% full-load, 0.86 pf lagging and 94% efficiency. 2. A 1000 hp synchronous motor operating at 65% full-load and 93% efficiency. The synchronous motor has negligible armature resistance and synchronous reactance of 3002/phase. (a) Draw a single-line schematic diagram to illustrate the scenario described above. Show all P and Q flows. (b) Determine the real and reactive power of the induction motor.

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Question 2
A 4.16 kV, 3-ph industrial plant bus is supplied from the utility mains. Connected to the
4.16 kV plant bus are the following three-phase loads:
1. A 1750 hp induction motor bank operating at 80% full-load, 0.86 pf lagging and 94%
efficiency.
2. A 1000 hp synchronous motor operating at 65% full-load and 93% efficiency. The
synchronous motor has negligible armature resistance and synchronous reactance of
300/phase.
(a) Draw a single-line schematic diagram to illustrate the scenario described above. Show
all P and Q flows.
(b) Determine the real and reactive power of the induction motor.
PIM(3ph)
QIM (3ph)
(c) Determine the apparent power and power factor of the synchronous motor if it is
overexcited to correct the overall plant power factor to 0.97 lagging. Show all work.
SSM (3ph)
pfsm
(d) Determine the synchronous motor line current and excitation voltage (LN). Include
angles with your answers.
ILZ
Eo(LN)
Transcribed Image Text:Question 2 A 4.16 kV, 3-ph industrial plant bus is supplied from the utility mains. Connected to the 4.16 kV plant bus are the following three-phase loads: 1. A 1750 hp induction motor bank operating at 80% full-load, 0.86 pf lagging and 94% efficiency. 2. A 1000 hp synchronous motor operating at 65% full-load and 93% efficiency. The synchronous motor has negligible armature resistance and synchronous reactance of 300/phase. (a) Draw a single-line schematic diagram to illustrate the scenario described above. Show all P and Q flows. (b) Determine the real and reactive power of the induction motor. PIM(3ph) QIM (3ph) (c) Determine the apparent power and power factor of the synchronous motor if it is overexcited to correct the overall plant power factor to 0.97 lagging. Show all work. SSM (3ph) pfsm (d) Determine the synchronous motor line current and excitation voltage (LN). Include angles with your answers. ILZ Eo(LN)
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