(A): Convert the Block Diagram showing in figure (2) to a Signal-Flow Graph (SFG). (B): Reduce the block diagram shown in figure (2) to a single transfer function Y(s)/R(s). (C): For the close loop system, find the values of damping ratio (9), natural frequency (wn), percent overshoot (%OS), Peak time (Tp), Rise time (Tr), and settling time (Ts) Y(s) 2500 R(s) s2 + 50 s + 2500

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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(A): Convert the Block Diagram showing in figure (2) to a Signal-Flow Graph (SFG).
(B): Reduce the block diagram shown in figure (2) to a single transfer function Y(s)/R(s).
(C): For the close loop system, find the values of damping ratio (), natural frequency (wn),
percent overshoot (%OS), Peak time (Tp), Rise time (Tr), and settling time (Ts)
Y(s)
2500
%3D
R(s)
s2 + 50 s + 2500
R(s)
Y(s)
1
1
K
s+0.4
2+1.7s+0.25
G1(s)
G2(s)
G3(s)
Figure (1)
0.1
s+0.1
H(s)
R(s)
V1(s)
V2(s)
G1(s)
V4(s)
V5(s)
Y(s)
G3(s)
G4(s)
V3(s)
Figure (2)
G2(s)
V6(s)
H(s)
Transcribed Image Text:(A): Convert the Block Diagram showing in figure (2) to a Signal-Flow Graph (SFG). (B): Reduce the block diagram shown in figure (2) to a single transfer function Y(s)/R(s). (C): For the close loop system, find the values of damping ratio (), natural frequency (wn), percent overshoot (%OS), Peak time (Tp), Rise time (Tr), and settling time (Ts) Y(s) 2500 %3D R(s) s2 + 50 s + 2500 R(s) Y(s) 1 1 K s+0.4 2+1.7s+0.25 G1(s) G2(s) G3(s) Figure (1) 0.1 s+0.1 H(s) R(s) V1(s) V2(s) G1(s) V4(s) V5(s) Y(s) G3(s) G4(s) V3(s) Figure (2) G2(s) V6(s) H(s)
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