Question

The three-phase wye-connected induction motor nameplate gives the following information: 400 V, 1755 rpm, 60 Hz....

The three-phase wye-connected induction motor nameplate gives the following information:
400 V, 1755 rpm, 60 Hz.
Rotor speed at no-load is 1799 rpm.
At rated voltage and frequency motor core losses are 400 W. At rated rotor speed, mechanical
losses are 400 W.
The available parameters of the motor conventional equivalent circuit (6-parameters
IEEE model) are:
R1 = 0.2 Ω, R’2 = 0.2 Ω, X1 = 0.5 Ω, X’2 = 0.2 Ω and Xφ = 20.0 Ω.
In all calculations, use the standard equivalent circuit (IEEE model 6 para-meters) of
the motor and consider that the motor operates at nominal voltage.

a) Determine the missing parameter of the motor conventional equivalent circuit (6-
parameter IEEE model). (4 points)
b) Calculate the motor no-load current. (4 points)
c) Find the no-load real power at the motor input. (2 points)
d) Determine the no-load reactive power at the motor input. (2 points)
e) Determine the current of the motor operating at rated speed. (4 points)
f) Calculate the real power at the input of the motor operating at rated speed. (2
points)
g) Determine the reactive power at the input of the motor operating at rated speed.
(2 points)
h) Find the useful mechanical power provided by the motor operating at rated
speed. (4 points)
i) Calculate the useful mechanical torque developed by the motor operating at
nominal speed. (4 points)
j) Determine the efficiency of the motor operating at rated speed. (2 points)

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