5. A posí tional servomechanism is e haracdarized by open-loop or drans fer funchın: k(s+2) s(5-1) GIS) Hls)= Deteimine the value of the goin k when: the damping ratio is 0,5 and elosed-loop system has Lwo roots on the jw axis,

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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Positional servomechanism

5.
A posí tional servomechanism
is e haracdarized by
open-loop
or
drans fer funchın:
k(s+2)
s(5-1)
GIS) Hls)=
Deteimine the value of the goin k
when:
the damping ratio is
0,5 and
elosed-loop system has Lwo roots on the jw axis,
Transcribed Image Text:5. A posí tional servomechanism is e haracdarized by open-loop or drans fer funchın: k(s+2) s(5-1) GIS) Hls)= Deteimine the value of the goin k when: the damping ratio is 0,5 and elosed-loop system has Lwo roots on the jw axis,
Expert Solution
Step 1

Given that -

Electrical Engineering homework question answer, step 1, image 1

Step 2

(a)

Given damping ratio is 0.5

Electrical Engineering homework question answer, step 2, image 1

Characteristics equation is written as -

Electrical Engineering homework question answer, step 2, image 2

Standard characteristics equation is -

Electrical Engineering homework question answer, step 2, image 3

Comparing equation (1) and (2) -

Electrical Engineering homework question answer, step 2, image 4

Electrical Engineering homework question answer, step 2, image 5

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