ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
9th Edition
ISBN: 9781260540666
Author: Hayt
Publisher: MCG CUSTOM
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Chapter 12, Problem 9E
(a)
To determine
The voltages which may still be measured using double subscript notation.
(b)
To determine
The currents which may still be measured using double subscript notation.
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2. A system with unity feedback is shown below. The feed-forward transfer function is G(s), where
5
.
G(S) = (+1) Sketch the root locus for the variations in the values of pi.
(s+P1)s
R(s)
C(s)
G(s)
3. The following closed-loop systems in Fig. 1 and Fig. 2 operate with a damping ratio of 0.707
(=0.707). The system in Fig. 1 does not have a PI controller, while the one in Fig. 2 does.
R(s):
S
Gain
Plant
R(s) +
E(s)
1
C(s)
K
(s+1)(s+2)(s+10)
Fig. 1: Closed-loop system without PI controller
Compensator
Plant
R(s) +
E(s)
K(s+0.1)
S
1
(s+1)(s+2)(s+10)
C(s)
Fig. 2: Closed-loop system with a practical PI controller
a. Please use Matlab to find the intersection point between line and the root locus of the
system in Fig. 1. Then find the K value and one complex closed-loop pole corresponding
to the intersection point. Calculate the steady-state error. Show the Matlab code in your
answer sheet.
b. Please use Matlab to find the intersection point between § line and the root locus of the
system in Fig. 2. Then find the K value and one complex closed-loop pole associated with
the intersection point. Compare the complex closed-loop pole with the one you just found
in task a. Are they very…
1. Please draw the root locus by hand for the following closed-loop system, where G(s) =
s+6
=
S-2
s+8
s-2'
and H(s) = Find the range of K for stability using Method II in Examples 2 and 3 in
Lecture 15.
Input
R(s)
Output
C(s)
KG(s)
H(s)
Chapter 12 Solutions
ENGINEERING CIRCUIT...(LL)>CUSTOM PKG.<
Ch. 12.1 - Let and . Find (a) Vad; (b) Vbc; (c) Vcd.Ch. 12.2 - Prob. 2PCh. 12.2 - Modify Fig. 12.9 by adding a 1.5 resistance to...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - Three balanced Y-connected loads are installed on...Ch. 12.4 - Each phase of a balanced three-phase -connected...Ch. 12.4 - Prob. 8PCh. 12.5 - Determine the wattmeter reading in Fig. 12.24,...Ch. 12.5 - Prob. 10P
Ch. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Describe what is meant by a polyphase source,...Ch. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - The single-phase three-wire system of Fig. 12.31...Ch. 12 - Prob. 12ECh. 12 - Referring to the balanced load represented in Fig....Ch. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Consider a simple positive phase sequence,...Ch. 12 - Assume the system shown in Fig. 12.34 is balanced,...Ch. 12 - Repeat Exercise 17 with Rw = 10 , and verify your...Ch. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - A three-phase system is constructed from a...Ch. 12 - Prob. 24ECh. 12 - Each load in the circuit of Fig. 12.34 is composed...Ch. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - A three-phase load is to be powered by a...Ch. 12 - For the two situations described in Exercise 28,...Ch. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Repeat Exercise 32 if Rw = 1 . Verify your...Ch. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - A wattmeter is connected into the circuit of Fig....Ch. 12 - Find the reading of the wattmeter connected in the...Ch. 12 - (a) Find both wattmeter readings in Fig. 12.39 if...Ch. 12 - Circuit values for Fig. 12.40 are , , , , . Find...Ch. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - (a) Is the load represented in Fig. 12.41...Ch. 12 - Prob. 44E
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