7-19. A460-V, four-pole, 50-hp, 60-Hz, Y-connected, three-phase induction motor devel- ops its full-load induced torque at 3.8 percent slip when operating at 60 Hz and 460 V. The per-phase circuit model impedances of the motor are R = = 0.33 N XM = 30N %3D X = 0.42 N X = = 0.42 N %3D Mechanical, core, and stray losses may be neglected in this problem. (a) Find the value of the rotor resistance R2. (b) Find Tmat. Smar and the rotor speed at maximum torque for this motor. (c) Find the starting torque of this motor.

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7-19. A460-V, four-pole, 50-hp, 60-Hz, Y-connected, three-phase induction motor devel-
ops its full-load induced torque at 3.8 percent slip when operating at 60 Hz and 460
V. The per-phase circuit model impedances of the motor are
R :
X, = 0.42 N
0.33 N
XM = 30 2
%3D
%3D
X2 = 0.42 2
%3D
%3D
Mechanical, core, and stray losses may be neglected in this problem.
(a) Find the value of the rotor resistance R2.
(b) Find Tmax, Smar and the rotor speed at maximum torque for this motor.
(c) Find the starting torque of this motor.
(d) What code letter factor should be assigned to this motor?
7-20. Answer the following questions about the motor in Problem 7-19.
(a) If this motor is started from a 460-V infinite bus, how much current will flow in
the motor at starting?
(b) If transmission line with an impedance of 0.35 + j0.25 per phase is used to
connect the induction motor to the infinite bus, what will the starting current of
the motor be? What will the motor's terminal voltage be on starting?
(c) If an ideal 1.4:1 step-down autotransformer is connected between the transmis-
sion line and the motor, what will the current be in the transmission line during
starting? What will the voltage be at the motor end of the transmission line dur-
ing starting?
Transcribed Image Text:7-19. A460-V, four-pole, 50-hp, 60-Hz, Y-connected, three-phase induction motor devel- ops its full-load induced torque at 3.8 percent slip when operating at 60 Hz and 460 V. The per-phase circuit model impedances of the motor are R : X, = 0.42 N 0.33 N XM = 30 2 %3D %3D X2 = 0.42 2 %3D %3D Mechanical, core, and stray losses may be neglected in this problem. (a) Find the value of the rotor resistance R2. (b) Find Tmax, Smar and the rotor speed at maximum torque for this motor. (c) Find the starting torque of this motor. (d) What code letter factor should be assigned to this motor? 7-20. Answer the following questions about the motor in Problem 7-19. (a) If this motor is started from a 460-V infinite bus, how much current will flow in the motor at starting? (b) If transmission line with an impedance of 0.35 + j0.25 per phase is used to connect the induction motor to the infinite bus, what will the starting current of the motor be? What will the motor's terminal voltage be on starting? (c) If an ideal 1.4:1 step-down autotransformer is connected between the transmis- sion line and the motor, what will the current be in the transmission line during starting? What will the voltage be at the motor end of the transmission line dur- ing starting?
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