Q.5- Consider the liquid-level control system shown in Figure below. assume that the velocity of the power piston (valve) is proportional to pilot-valve displacement x, or dy/dt = K₁ x where K₁ is a positive constant. We also assume that the change in the inflow rate q, is negatively proportional to the change in the valve opening y, q₁ = -Kvy or Assuming the following numerical values for the system, C=2 m², R= 0.5 sec/m², K-1 m²/ sec. K₁=4 sec1 a=0.25 m, b= 0.75 m, Obtain the transfer function H(s)/Qo(s). Tay 11. CeCach J₁0

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Q.5- Consider the liquid-level control system shown in Figure below. assume that the
velocity of the power piston (valve) is proportional to pilot-valve displacement x,
dy/dt = K₁ x
or
where K, is a positive constant. We also assume
that the change in the inflow rate q, is negatively
proportional to the change in the valve opening y,
q₁ = -Kvy
or
Assuming the following numerical values for the system,
C=2 m²,
R= 0.5 sec/m²,
K, 1 m²/ sec.
K₁=4 sec¹
a=0.25 m,
b= 0.75 m,
Obtain the transfer function H(s)/Qg(s).
3
0..
1.
t
CC
Re
Transcribed Image Text:Q.5- Consider the liquid-level control system shown in Figure below. assume that the velocity of the power piston (valve) is proportional to pilot-valve displacement x, dy/dt = K₁ x or where K, is a positive constant. We also assume that the change in the inflow rate q, is negatively proportional to the change in the valve opening y, q₁ = -Kvy or Assuming the following numerical values for the system, C=2 m², R= 0.5 sec/m², K, 1 m²/ sec. K₁=4 sec¹ a=0.25 m, b= 0.75 m, Obtain the transfer function H(s)/Qg(s). 3 0.. 1. t CC Re
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