(a) Consider following differential equation. d³y d²y +3. dt3 dy d³x d²x dx +5 +y= + 4 + 6. + 8x dt² dt dt3 dt2 dt Y(s) Find the transfer function of X(s)' i) ii) Consider that the system in i) has a unity feedback. For this system identify parameters below. 1) Open loop transfer function

(a) Consider following differential equation. d³y d²y +3. dt3 dy d³x d²x dx +5 +y= + 4 + 6. + 8x dt² dt dt3 dt2 dt Y(s) Find the transfer function of X(s)' i) ii) Consider that the system in i) has a unity feedback. For this system identify parameters below. 1) Open loop transfer function

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

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

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Question

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(a) Consider following differential equation.
d³y
d²y
+3.
dt3
dy
d³x
d²x
dx
+6
+ 8x
dt
+5 +y =
+4
dt²
dt
dt3
dt2
Y(s)
i)
Find the transfer function of
X(s)'
ii)
Consider that the system in i) has a unity feedback. For this system identify parameters
below.
1) Open loop transfer function
2) Open loop poles
3) Open loop zeros
4) Real axis segment
5) Break away or break in point
6) Sketch of the root locus

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