3) A liquid mixture is heated in a perfectly mixed tank with a heating coil using a saturated steam at 120°C. Temperature of the mixture is controlled using a proportional integral controller. Temperature of feed stream and flow rate of steam act as disturbance and manipulated variable, respectively. The open loop transfer functions are 0.5 Gp 1 and Ga 1+s %3D 1+s For proportional-integral controller; 1 Gc = 5(1 + 0.5s The measuring device and control valve have the following transfer functions: Gm=1 G=1 a) Draw the block diagram of closed loop system b) Drive the expression for closed loop response. c) Find the offset for a unit step change in the set point (servo problem) Is there a change in the order of the response? Please state what is the reason for the occurrence or absence of the change.

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3) A liquid mixture is heated in a perfectly mixed tank with a heating coil using a
saturated steam at 120°C. Temperature of the mixture is controlled using a
proportional integral controller. Temperature of feed stream and flow rate of steam
act as disturbance and manipulated variable, respectively.
The open loop transfer functions are
0.5
Gp
1
and Gd
1+s
1+s
For proportional-integral controller;
1
Gc = 5(1+
0.5s
The measuring device and control valve have the following transfer functions:
Gm=1 G=1
a) Draw the block diagram of closed loop system
b) Drive the expression for closed loop response.
c) Find the offset for a unit step change in the set point (servo problem) Is there
a change in the order of the response? Please state what is the reason for the
occurrence or absence of the change.
d) How would response will change if Kc=10? Just make a comment, do not make
any calculations.
Transcribed Image Text:3) A liquid mixture is heated in a perfectly mixed tank with a heating coil using a saturated steam at 120°C. Temperature of the mixture is controlled using a proportional integral controller. Temperature of feed stream and flow rate of steam act as disturbance and manipulated variable, respectively. The open loop transfer functions are 0.5 Gp 1 and Gd 1+s 1+s For proportional-integral controller; 1 Gc = 5(1+ 0.5s The measuring device and control valve have the following transfer functions: Gm=1 G=1 a) Draw the block diagram of closed loop system b) Drive the expression for closed loop response. c) Find the offset for a unit step change in the set point (servo problem) Is there a change in the order of the response? Please state what is the reason for the occurrence or absence of the change. d) How would response will change if Kc=10? Just make a comment, do not make any calculations.
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