31 A first-order system has a time constant of 30 s. What will be itsdelay time and rise time when subject to a unit step input?32 A first-order system when subject to a unit step input rises to 90% ofits steady-state value in 20 s. Determine its time constant, delay timeand rise time?33 Determine the natural angular frequency, the damping factor, therise time, percentage overshoot and 2% settling time for systemswith the following transfer functions: (a) 100/(s + 4s + 100), (b)49/(s + 4s + 49).34 Determine the natural angular frequency, the damping factor, therise time, percentage overshoot and 2% settling time for a systemwhere the output y is related to the input x by the differentialequation:쫓+5%+16y= 16xs(s +dz2dr35 For the feedback system shown in Figure 10.16, what gain K shouldbe used to give a rise time of 2 s?Figure 10.16 Problem 35

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31 A first-order system has a time constant of 30 s. What will be its delay time and rise time when subject to a unit step input?

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

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.61P

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Question

31 A first-order system has a time constant of 30 s. What will be its
delay time and rise time when subject to a unit step input?
32 A first-order system when subject to a unit step input rises to 90% of
its steady-state value in 20 s. Determine its time constant, delay time
and rise time?
33 Determine the natural angular frequency, the damping factor, the
rise time, percentage overshoot and 2% settling time for systems
with the following transfer functions: (a) 100/(s + 4s + 100), (b)
49/(s + 4s + 49).
34 Determine the natural angular frequency, the damping factor, the
rise time, percentage overshoot and 2% settling time for a system
where the output y is related to the input x by the differential
equation:
쫓+5%+16y= 16x
s(s +
dz2
dr
35 For the feedback system shown in Figure 10.16, what gain K should
be used to give a rise time of 2 s?
Figure 10.16 Problem 35

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