Problem 3 A 3-phase, 50 HP, 415Vrms (line-to-line), 50HZ, 4-pole Y-connected induction machine has the following equivalent circuit parameters: Rs = 0.15625ohm Rr'= 0.185ohm Xm = 17.75ohm XI1= 0.7825ohm X12'= 0.7825ohm Rc = 148.75ohm If the machine is operating as a generator at the rated conditions (50 HP mechanical power and 415V terminal voltage), find, a) The slip. the slip in % is: b) Input torque. the input torque in N.m c) the stator current amplitude. the current in A is d) The rotor speed in rpm the rotor speed in rpm is

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.24P: For Problem 3.18, the motor operates at full load, at 0.8 power factor leading, and at a terminal...
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Problem 3
A 3-phase, 50 HP, 415Vrms (line-to-line),
50HZ, 4-pole Y-connected induction
machine has the following equivalent
circuit parameters:
Rs = 0.15625ohm
Rr'= 0.185ohm
Xm = 17.75ohm
XI1= 0.7825ohm
X12'= 0.7825ohm
Rc = 148.75ohm
If the machine is operating as a generator at
the rated conditions (50 HP mechanical
power and 415V terminal voltage), find,
a) The slip.
the slip in % is:
b) Input torque.
the input torque in N.m
c) the stator current amplitude.
the current in A is
d) The rotor speed in rpm
the rotor speed in rpm is
Transcribed Image Text:Problem 3 A 3-phase, 50 HP, 415Vrms (line-to-line), 50HZ, 4-pole Y-connected induction machine has the following equivalent circuit parameters: Rs = 0.15625ohm Rr'= 0.185ohm Xm = 17.75ohm XI1= 0.7825ohm X12'= 0.7825ohm Rc = 148.75ohm If the machine is operating as a generator at the rated conditions (50 HP mechanical power and 415V terminal voltage), find, a) The slip. the slip in % is: b) Input torque. the input torque in N.m c) the stator current amplitude. the current in A is d) The rotor speed in rpm the rotor speed in rpm is
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