Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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please solve question 6
Transcribed Image Text:3-phase A-connected induction motor has a direct starting current of 800 % of
rated current and a full-load slip of 4 %. Answer the following questions:
(a) Under direct starting conditions, calculate the percentage of the starting torque
compared to rated torque.
(b) If an autotransformer is used to reduce the starting current of the motor to 250
% of rated value, calculate the transformation ratio of the transformer, and the
corresponding percentage value of the new starting torque.
(c) If the motor is to be started using Y-A starting method, calculate the new
percentage of the starting current and the corresponding starting torque.
laging
(6) A 4 MW, 0.707 industrial plant is supplied from a 6 MVA three-phase power
transformer. A 1.0 MW, 11 kV, 0.8 leading power factor, 88 % efficient, 3-phase
synchronous motor is to be installed in the plant. Answer the following questions:
Case
(a) What is the new overall power factor of the plant.
(b) Is the 6 MVA transformer over-loaded after connecting the synchronous motor.
(c) If yes find the over-loading percentage.
(7) A 500 V, A-connected, three-phase synchronous motor has an EMF of 600 V. The
motor synchronous impedance is (0.4+j5) 02/ph, and the rotational losses are
neglected.
Calculate the maximum power output that can be delivered, the corresponding line
current, the input power factor and efficiency of the motor.
(8) A 3300 V, A-connected synchronous motor has a synchronous reactance of 18 0/ph.
It operates at a 0.707 leading power factor when drawing 800 kW from the mains.
Answer the following questions:
(a) Calculate the motor EMF and torque angle.
(b) If the field current in increased by 20 % while the load power is unchanged
calculate the new value of the line current and the corresponding input power
factor.
Expert Solution
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Step 1
Given data,
The rating for the industrial load,
The rating for the transformer,
The rating for the synchronous motor,
To find:
(a) What is the new overall power factor of the plant?
(b) Is the 6 MVA transformer overloaded after connecting the synchronous motor?
(c) If yes find the overloading percentage.
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