QUESTION 3 DIAGRAM SHEET 1 (attached), illustrates a point-by point bode diagram of the gain and phase values of a system as the frequency varies from 1 to 1 000 radians per second. Determine the following from the graph: 3.1 The peak gain value 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 The phase value at a frequency of 250 rad/s The frequency at the peak gain value The gain cut-off between 10 rad/s and 100 rad/s The gain crossover frequency The phase crossover frequency The gain margin The phase margin The stability of the system in terms of the gain and phase response ||

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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H+
DIAGRAM SHEET 1
QUESTION 3
Gain (dB)
30
20
10
0
-10
-20
-30
Phase (Degrees)
-90°
-120°
-150°
-180°
-210°
-240°
-270°
1
10
Please turn over
FORMULA SHEET
10
Copyright reserved
CONTROL SYSTEMS N6
-πN
Overshoot e√1-3²
50
50
A
Frequency (rad/s)
100 250
Frequency (rad/s)
100 250
Wd = wn√1-3² = 2nf
Number of oscillations
Damping coefficient (a)
Y = tan-¹
Amplitude =
t
or / of
2√1-3²
TT.}
1
3.Wn = = T
IT
+ π rad
− ζπΝ
1 + e√¹-
-52
Q86¹ 09:23
500
750 1000
500 750 1000
Transcribed Image Text:» H+ DIAGRAM SHEET 1 QUESTION 3 Gain (dB) 30 20 10 0 -10 -20 -30 Phase (Degrees) -90° -120° -150° -180° -210° -240° -270° 1 10 Please turn over FORMULA SHEET 10 Copyright reserved CONTROL SYSTEMS N6 -πN Overshoot e√1-3² 50 50 A Frequency (rad/s) 100 250 Frequency (rad/s) 100 250 Wd = wn√1-3² = 2nf Number of oscillations Damping coefficient (a) Y = tan-¹ Amplitude = t or / of 2√1-3² TT.} 1 3.Wn = = T IT + π rad − ζπΝ 1 + e√¹- -52 Q86¹ 09:23 500 750 1000 500 750 1000
QUESTION 3
DIAGRAM SHEET 1 (attached), illustrates a point-by point bode diagram of the gain and
phase values of a system as the frequency varies from 1 to 1 000 radians per second.
Determine the following from the graph:
3.1 The peak gain value
The phase value at a frequency of 250 rad/s
The frequency at the peak gain value
The gain cut-off between 10 rad/s and 100 rad/s
The gain crossover frequency
The phase crossover frequency
The gain margin
The phase margin
3.9 The stability of the system in terms of the gain and phase response
3.2
3.3
3.4
3.5
3.6
3.7
3.8
||
Transcribed Image Text:QUESTION 3 DIAGRAM SHEET 1 (attached), illustrates a point-by point bode diagram of the gain and phase values of a system as the frequency varies from 1 to 1 000 radians per second. Determine the following from the graph: 3.1 The peak gain value The phase value at a frequency of 250 rad/s The frequency at the peak gain value The gain cut-off between 10 rad/s and 100 rad/s The gain crossover frequency The phase crossover frequency The gain margin The phase margin 3.9 The stability of the system in terms of the gain and phase response 3.2 3.3 3.4 3.5 3.6 3.7 3.8 ||
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