3-29. The coupling between the signals of the turboprop engine shown in Fig. 3P-4(a) is shown in Fig. 3P-29. The signals are defined as R1(s) = fuel rate R2(s) = propeller blade angle Y, (s) = engine speed Y2(s) = turbine inlet temperature 161 (a) Draw an equivalent SFG for the system. (b) Find the A of the system using the SFG gain formula. (c) Find the following transfer functions: Y1 (s) R1(s)\R;=0 Y;(s) Y2(s) Y2(s)| R1(s)R=0 R2(s)lR,=0 R2(s)\R=0 (d) Exprese the tronsfer functins in motrix form Vle)- CicIR(e)

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3-29. The coupling between the signals of the turboprop engine shown in Fig. 3P-4(a) is shown in
Fig. 3P-29. The signals are defined as
R1(s) = fuel rate
R2(s) = propeller blade angle
Y1 (s) = engine speed
Y2(s) = turbine inlet temperature
(a) Draw an equivalent SFG for the system.
161
(b) Find the A of the system using the SFG gain formula.
(c) Find the following transfer functions:
Y1 (s)
Y;(s)|
Y2(s)
R1 (s)lR;=0 R2(s)R,=0 R1(s)R=0 R2(s)lR,=0
(d) Express the transfer functions in matrix form, Y(s) = G(s)R(s).
nante
R(s).
G(s)
(s)
+.
R2(s)
Y2(s)
G(s)
+
Figure 3P-29
Transcribed Image Text:3-29. The coupling between the signals of the turboprop engine shown in Fig. 3P-4(a) is shown in Fig. 3P-29. The signals are defined as R1(s) = fuel rate R2(s) = propeller blade angle Y1 (s) = engine speed Y2(s) = turbine inlet temperature (a) Draw an equivalent SFG for the system. 161 (b) Find the A of the system using the SFG gain formula. (c) Find the following transfer functions: Y1 (s) Y;(s)| Y2(s) R1 (s)lR;=0 R2(s)R,=0 R1(s)R=0 R2(s)lR,=0 (d) Express the transfer functions in matrix form, Y(s) = G(s)R(s). nante R(s). G(s) (s) +. R2(s) Y2(s) G(s) + Figure 3P-29
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