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A 480 V, 60 Hz, 4-pole-pair, three-phase, delta-connected induction motor has the following parameters: R1=0.42 Ω,...

A 480 V, 60 Hz, 4-pole-pair, three-phase, delta-connected induction motor has the following parameters: R1=0.42 Ω, R2=0.23 Ω, X1=0.48 Ω, X2=0.29 Ω, Xm=29.71 Ω

where: R1 is the stator resistance

            R2 is the rotor resistance reflected in the stator;

            X1 is the stator leakage inductance;

            X2 is the rotor leakage inductance reflected in the stator;

            Xm is the magnetising inductance;

The rotational losses are 2450 W. The motor drives a mechanical load at a speed of 875 rpm.

a)

Draw the equivalent circuit for this drive.

b)

Calculate the following quantities:

i)

ii)

Synchronous speed in rpm                                                                                 

Slip    

iii)

iv)

Line Current                                                                                                                       

Input Power

v)

vi)

Air-gap Power                                                                                                                                  

Torque developed

vii)

viii)

Output Power                                                                                                     

Efficiency                                                                                                           

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Answer #1

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