Rule 10/20 Rule 1 Original Diagram Equivalent Diagram Combining blocks in series R(s) G₁(s) G₂(s) C(s) R(s) G₁(s)G₂(s) C(s) Combining blocks in parallel Rule 2 R(s) Eliminating a feedback loop Rule G₁(s) C(s) R(s) G₁(s)+G2(s) C(s) G₂(s) Rule 3 R(s) G(s) C(s) G(s) R(s) C(s) 1+G(s)H(s) R(s) H(s) Original Diagram Equivalent Diagram R(s)- G(s) G(s) C(s) C(s) G(s) X(s) Moving a summing element [R(s) + X(s)] × G(s) R(s)G(s) + X(s)G(s) Tx(s) R(s)→ G(s) C(s) R(s) G(s) C(s) G(s) X(s). R(s)G(s) + X(s) X(s) Tx(s) [R(s) + x G(s) R(s) G(s) C(s) R(s)- G(s) C(s) G(s) X(s) R(s) = X(s) R(s) xG(s) x = X(s) G(s) X(s) Moving a pickoff point R(s) G(s) ►C(s) R(s)- G(s) C(s) G(s) X(s) ▼X(s) d) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). R(s) G2 G₁ H₂ H₁ Figure Q1.2. Block diagram. H3 Y(s)

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
Chapter3: Power Transformers
Section: Chapter Questions
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Rule
10/20
Rule 1
Original Diagram
Equivalent Diagram
Combining
blocks in
series
R(s)
G₁(s)
G₂(s)
C(s)
R(s) G₁(s)G₂(s)
C(s)
Combining
blocks in
parallel
Rule 2
R(s)
Eliminating a
feedback loop
Rule
G₁(s)
C(s)
R(s)
G₁(s)+G2(s)
C(s)
G₂(s)
Rule 3
R(s)
G(s)
C(s)
G(s)
R(s)
C(s)
1+G(s)H(s)
R(s)
H(s)
Original Diagram
Equivalent Diagram
R(s)-
G(s)
G(s)
C(s)
C(s)
G(s)
X(s)
Moving a summing
element
[R(s) + X(s)] × G(s)
R(s)G(s) + X(s)G(s)
Tx(s)
R(s)→
G(s)
C(s)
R(s) G(s)
C(s)
G(s)
X(s).
R(s)G(s) + X(s)
X(s)
Tx(s)
[R(s) +
x G(s)
R(s)
G(s)
C(s)
R(s)-
G(s)
C(s)
G(s)
X(s) R(s) = X(s)
R(s) xG(s) x
= X(s)
G(s)
X(s)
Moving a pickoff point
R(s)
G(s)
►C(s)
R(s)-
G(s)
C(s)
G(s)
X(s)
▼X(s)
Transcribed Image Text:Rule 10/20 Rule 1 Original Diagram Equivalent Diagram Combining blocks in series R(s) G₁(s) G₂(s) C(s) R(s) G₁(s)G₂(s) C(s) Combining blocks in parallel Rule 2 R(s) Eliminating a feedback loop Rule G₁(s) C(s) R(s) G₁(s)+G2(s) C(s) G₂(s) Rule 3 R(s) G(s) C(s) G(s) R(s) C(s) 1+G(s)H(s) R(s) H(s) Original Diagram Equivalent Diagram R(s)- G(s) G(s) C(s) C(s) G(s) X(s) Moving a summing element [R(s) + X(s)] × G(s) R(s)G(s) + X(s)G(s) Tx(s) R(s)→ G(s) C(s) R(s) G(s) C(s) G(s) X(s). R(s)G(s) + X(s) X(s) Tx(s) [R(s) + x G(s) R(s) G(s) C(s) R(s)- G(s) C(s) G(s) X(s) R(s) = X(s) R(s) xG(s) x = X(s) G(s) X(s) Moving a pickoff point R(s) G(s) ►C(s) R(s)- G(s) C(s) G(s) X(s) ▼X(s)
d) Simplify the block diagram shown in Figure Q1.2 and find out the system
transfer function Y(s)/R(s).
R(s)
G2
G₁
H₂
H₁
Figure Q1.2. Block diagram.
H3
Y(s)
Transcribed Image Text:d) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). R(s) G2 G₁ H₂ H₁ Figure Q1.2. Block diagram. H3 Y(s)
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