Electric Motor Control
10th Edition
ISBN: 9781305177611
Author: Herman
Publisher: Cengage
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Chapter 42, Problem 11SQ
To determine
Explain how DC is obtained from a brushless rotor.
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Derive, for both star- and delta-connected systems, an
expression for the total power input for a balanced
three-phase load in terms of line voltage, line current
and power factor.
The star-connected secondary of a transformer
supplies a delta-connected motor taking a power of
90 kW at a lagging power factor of 0.9. If the volt
age between lines is 600 V, calculate the current in
the transformer winding and in the motor winding.
Draw circuit and phasor diagrams, properly labelled,
showing all voltages and currents in the transformer
secondary and the motor. ANS:
. 96.2 A, 55.6 A
Deduce the relationship between the phase and the
line voltages of a three-phase star-connected generator.
If the phase voltage of a three-phase star-connected
generator is 200 V, what will be the line voltages: (a)
when the phases are correctly connected; (b) when the
connections to one of the phases are reversed? ans:
346 V; 346 V, 200 V, 200 V
Q2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k):
i. Show that:
X(k) =G(k)+WH(k)
k=0,1,2,3,4,5,6,7
where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components
of x(n) respectively.
ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences.
(15 marks)
Chapter 42 Solutions
Electric Motor Control
Ch. 42 - What are the two basic methods of automatically...Ch. 42 - What is an out-of-step relay?Ch. 42 - Why is an out-of-step relay used on automatic...Ch. 42 - Under what conditions will the out-of-step relay...Ch. 42 - What is the last control contact that closes on a...Ch. 42 - What influence do both of the polarized field...Ch. 42 - Prob. 7SQCh. 42 - Approximately how much time (in terms of...Ch. 42 - How does the AC coil of the PFR receive the...Ch. 42 - Why is a control relay (CR1) used in Figure 426?...
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- Q2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) = G(k)+WH(k) k = 0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences.arrow_forwardQ1 .For the unity feedback control system shown below, discuss the stability using Bode Plotarrow_forwardQ4: Given a discrete data array x(n₁, n2) defined as: 31 x(n₁, n₂) = 1 1 2 2 11 2. (a) Compute the two-dimensional (2-D) DFT X(k₁, k₂), using row-column (RC) algorithm. (b) Repeat part (a) using vector-radix (VR) FFT algorithm.arrow_forward
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