A frequency response for the open loop system of a crane system is shown in Figure Q2. a) Analyse the transient response, stability and steady state error of the system, then complete Table Q2. Table Q2 Performance Criteria Value Transient Response Phase margin, ØM = Gain margin, GM = Bandwidth, wgw = Stability The gain crossover frequency, wow = The phase crossover frequency, wc = Stability* : Stable/Unstable/Marginally Stable Steady state Static error constant* : Kp/K„/Ka = Steady state error, ess(∞) = one answer only

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter13: Transmission Lines: Transient Operation
Section: Chapter Questions
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A frequency response for the open loop system of a crane system is shown in Figure Q2.
a) Analyse the transient response, stability and steady state error of the system, then
complete Table Q2.
Table Q2
Performance Criteria
Value
Transient Response
Phase margin, ØM =
Gain margin, Gy =
Bandwidth, waw =
Stability
The gain crossover frequency, wo, =
The phase crossover frequency, @c =
Stability* : Stable/Unstable/Marginally Stable
Static error constant* : Kp/Ky/Kq =
Steady state
Steady state error, e,s(0) =
* one answer only
b) Re-evaluate the system performance if you are asked to adjust the preamplifier gain for
the system to operate at 10% overshoot.
(You should have another table similar to Table Q2 for the gain-adjusted system)
Transcribed Image Text:A frequency response for the open loop system of a crane system is shown in Figure Q2. a) Analyse the transient response, stability and steady state error of the system, then complete Table Q2. Table Q2 Performance Criteria Value Transient Response Phase margin, ØM = Gain margin, Gy = Bandwidth, waw = Stability The gain crossover frequency, wo, = The phase crossover frequency, @c = Stability* : Stable/Unstable/Marginally Stable Static error constant* : Kp/Ky/Kq = Steady state Steady state error, e,s(0) = * one answer only b) Re-evaluate the system performance if you are asked to adjust the preamplifier gain for the system to operate at 10% overshoot. (You should have another table similar to Table Q2 for the gain-adjusted system)
60
40
S1-3
S1-4
20
-20
-40
-60
10-1
10°
10
90
102
10
45
-45
-90
--135
-180
-225
-270
-315
-360
10-1
100
101
Frequency (rad/s)
102
103
Phase (degrees)
Magnitude (dB)
Transcribed Image Text:60 40 S1-3 S1-4 20 -20 -40 -60 10-1 10° 10 90 102 10 45 -45 -90 --135 -180 -225 -270 -315 -360 10-1 100 101 Frequency (rad/s) 102 103 Phase (degrees) Magnitude (dB)
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