The speed of a separately excited dc motor is controlled by a single-phase full-wave converter in figure below. The field circuit is also controlled by a full converter and the field current is set to the maximum possible value. The ac supply voltage to the armature and field converters is one phase, 430 V, 60 Hz. The armature resistance is R, = 0.215 N, the field circuit resistance is Rf = 125 N, and the motor voltage constant is K, = 0.825 V/A rad/s. The armature current corresponding to the load demand is la = 45 A. The viscous friction and no-load losses are negligible. The inductances of the armature and field circuits are sufficient to make the armature and field currents continuous and ripple free. If the delay angle of the armature converter is a, = 40 ° and the armature current is I, = 32 А.

The speed of a separately excited dc motor is controlled by a single-phase full-wave converter in figure below. The field circuit is also controlled by a full converter and the field current is set to the maximum possible value. The ac supply voltage to the armature and field converters is one phase, 430 V, 60 Hz. The armature resistance is R, = 0.215 N, the field circuit resistance is Rf = 125 N, and the motor voltage constant is K, = 0.825 V/A rad/s. The armature current corresponding to the load demand is la = 45 A. The viscous friction and no-load losses are negligible. The inductances of the armature and field circuits are sufficient to make the armature and field currents continuous and ripple free. If the delay angle of the armature converter is a, = 40 ° and the armature current is I, = 32 А.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

The speed of a separately excited dc motor is controlled by a single-phase full-wave converter in figure below. The field circuit is also
controlled by a full converter and the field current is set to the maximum possible value. The ac supply voltage to the armature and
field converters is one phase, 430 V, 60 Hz. The armature resistance is Ra = 0.215 SN, the field circuit resistance is Rf = 125 N, and the
motor voltage constant is K,
0.825 V/A rad/s. The armature current corresponding to the load demand is la = 45 A. The viscous
friction and no-load losses are negligible. The inductances of the armature and field circuits are sufficient to make the armature and
field currents continuous and ripple free. If the delay angle of the armature converter is aa = 40 ° and the armature current is I.
= 32
А.
• Determine the torque developed by the motor Ta.
i. A1
F1
for 0 s a, ST
2Vm
Ta
La
Ra
N.m
cos aa
TT
Va
• Determine the motor speed.
Rf
for 0 s afS T
M
2Vm
N
rpm
F2
V; =
Cos af
TT
A2
(a) Circuit
• Determine the input PF of the drive.
(2V2
PF =
cos aa
TT
PF
|Lagging
Va
• If the polarity of the motor back emf is reversed by reversing the polarity of
the field current, determine the delay angle of the armature circuit converter,
aa, to maintain the armature current constant at the same value of 32 A.
(b) Quadrant
da
• If the polarity of the motor back emf is reversed by reversing the polarity of the field current, determine, The power fed back to the
supply due to regenerative braking of the motor.
P =
W

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