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A 480-V, 60-Hz, 400-hp, 0.8-PF-leading, eight-pole, A-connected synchronous mo- tor has a synchronous reactance of 0.6 N and negligible armature resistance. Ignore its friction, windage, and core losses for the purposes of this problem. Assume that IE,l is directly proportional to the field current I, (in other words, assume that the motor operates in the linear part of the magnetization curve), and that IE,I = 480 V when Ip = 4 A. (a) What is the speed of this motor? (b) If this motor is initially supplying 400 hp at 0.8 PF lagging, what are the mag- nitudes and angles of E, and L,? (c) How much torque is this motor producing? What is the torque angle 8? How near is this value to the maximum possible induced torque of the motor for this fjeld current setting?

A 480-V, 60-Hz, 400-hp, 0.8-PF-leading, eight-pole, A-connected synchronous mo- tor has a synchronous reactance of 0.6 N and negligible armature resistance. Ignore its friction, windage, and core losses for the purposes of this problem. Assume that IE,l is directly proportional to the field current I, (in other words, assume that the motor operates in the linear part of the magnetization curve), and that IE,I = 480 V when Ip = 4 A. (a) What is the speed of this motor? (b) If this motor is initially supplying 400 hp at 0.8 PF lagging, what are the mag- nitudes and angles of E, and L,? (c) How much torque is this motor producing? What is the torque angle 8? How near is this value to the maximum possible induced torque of the motor for this fjeld current setting?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A 480-V, 60-Hz, 400-hp, 0.8-PF-leading, eight-pole, A-connected synchronous mo- tor has a synchronous reactance of 0.6 N and negligible armature resistance. Ignore its friction, windage, and core losses for the purposes of this problem. Assume that IE,l is directly proportional to the field current I, (in other words, assume that the motor operates in the linear part of the magnetization curve), and that IE,I = 480 V when Ip = 4 A. (a) What is the speed of this motor? (b) If this motor is initially supplying 400 hp at 0.8 PF lagging, what are the mag- nitudes and angles of E, and L,? (c) How much torque is this motor producing? What is the torque angle 8? How near is this value to the maximum possible induced torque of the motor for this fjeld current setting? (d) If IE,I is increased by 30 percent, what is the new magnitude of the armature cunent? What is the motor's new power factor? (e) Calculate and plot the motor's V curve for this load condition.
Transcribed Image Text:A 480-V, 60-Hz, 400-hp, 0.8-PF-leading, eight-pole, A-connected synchronous mo- tor has a synchronous reactance of 0.6 N and negligible armature resistance. Ignore its friction, windage, and core losses for the purposes of this problem. Assume that IE,l is directly proportional to the field current I, (in other words, assume that the motor operates in the linear part of the magnetization curve), and that IE,I = 480 V when Ip = 4 A. (a) What is the speed of this motor? (b) If this motor is initially supplying 400 hp at 0.8 PF lagging, what are the mag- nitudes and angles of E, and L,? (c) How much torque is this motor producing? What is the torque angle 8? How near is this value to the maximum possible induced torque of the motor for this fjeld current setting? (d) If IE,I is increased by 30 percent, what is the new magnitude of the armature cunent? What is the motor's new power factor? (e) Calculate and plot the motor's V curve for this load condition.
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