Question #150578

Q.3 (a) Measurements conducted on a servomechanism show the system

response to be:

C (t) = 0.3 e60t + 1.5 e10t

, when subjected to a unit step input.

[1].Obtain the expression for the closed-loop transfer function.

[2].Determine the undamped natural frequency and damping ratio of the

system.

Q.3 (b) A Tank system having a time constant of 0.5 min and a resistance of

0.25 min /m2

is operating at steady state with an inlet flow of 2m3/min. The

flow is suddenly increased to 3m3/min. Plot the response of the tank level

(Assume area of cross section A = 2 m2).

Q.3 (c) Describe the Hardware elements of a process control system.

Differentiate the process lag and control lag with suitable example.

response to be:

C (t) = 0.3 e60t + 1.5 e10t

, when subjected to a unit step input.

[1].Obtain the expression for the closed-loop transfer function.

[2].Determine the undamped natural frequency and damping ratio of the

system.

Q.3 (b) A Tank system having a time constant of 0.5 min and a resistance of

0.25 min /m2

is operating at steady state with an inlet flow of 2m3/min. The

flow is suddenly increased to 3m3/min. Plot the response of the tank level

(Assume area of cross section A = 2 m2).

Q.3 (c) Describe the Hardware elements of a process control system.

Differentiate the process lag and control lag with suitable example.

Expert's answer

3 a) "T(s) = \\frac{(1.8s - 93) s}{s^2 -70 +600}"

b)"Wn = 10\\sqrt{\\smash[b]{6}}" rad/sec

c) **process time lag**

** **is the general term that describes these process delays and retardations. process time legs are caused by the properties of the process. they are capacitance resistance, and transportation time capacitance is the ability of a process to store energy resistance is that part of the process that opposes the transfer of energy between capacities transportation time. the time required to carry a change in a process variable from one point to another in the process this time ing is not just a slowing down or retardation of a change it is an actual time delay during which no change occurs dead time the amount of time it takes for the process variable to start changing after changing output as a control valve variable frequency drive etc lati lag time s the amount of time after the dead time that the process variable takes to move of its final value alter a step change in valve positioner

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