Department of Chemical Engineering First Assignment Subject: Advanced Process Control Sub-Code: CHE443 Announcement Date: 22-08-2015 1 Name the basic components of feedback control scheme and with neat sketch explain the functions of each one. 2 Distinguish between bounded and unbounded forcing function? Give their mathematical relationship with figure and its Laplace transform 3 Develop a transfer function model for CSTR, in which second order reaction is undergoing. Write down all the assumption which you make. 4 A thermometer with a time constant of 1 min is placed in a temperature bath at 100 0C. After the thermometer reaches steady state, it is suddenly placed in a bath at 110oC at t = 0 and left there for 1 min, after which it is immediately returned to the bath at 100 oC. Calculate the thermometer reading at t = 0.5 min and at t = 2.0 min. 5 Discuss the dynamic response of second order system for various values of damping coefficient. Define the terms used to describe the underdamped second order system 6 Prove that offset always exists for feedback control system with PD controller 7 A proportional controller is used control two liquid level systems connected in a non-interacting way. The time constant for tanks are 1 and 0.5. The value of the controller gain is 5. Assume that unity feedback control system. A step of magnitude 0.7 in set-point is introduced. Assume that gain of the plant is unity. Determine the offset. 8 Obtain the closed loop transfer function for Figure 8.1 9 Obtain the closed loop transfer function for servo and disturbance rejection regulatory problem 10 A PD controller is used to control two liquid level systems connected in a non-interacting structure with derivative time is 4 min. The time constant for tanks are 1 and 0.5. The gain of the process is 0.5. The transfer function of measuring element is 1/s Assume that the final control element having unity transfer function. Determine the stability of the system for servo problem. Fig: 8.1 MANIPAL INSTITUTE OF TECHNOLOGY (A constituent college of Manipal University, Manipal) Manipal Karnataka 576 104

First Assignment APC 22-08-15

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Department of Chemical Engineering

First Assignment Subject: Advanced Process Control Sub-Code: CHE443 Announcement Date: 22-08-2015

1 Name the basic components of feedback control scheme and with neat sketch explain the functions of each one.

2 Distinguish between bounded and unbounded forcing function? Give their mathematical relationship with figure and its Laplace transform

3 Develop a transfer function model for CSTR, in which second order reaction is undergoing. Write down all the assumption which you make.

4 A thermometer with a time constant of 1 min is placed in a temperature bath at 100 0C. After the thermometer reaches steady state, it is suddenly placed in a bath at 110oC at t = 0 and left there for 1 min, after which it is immediately returned to the bath at 100 oC. Calculate the thermometer reading at t = 0.5 min and at t = 2.0 min.

5 Discuss the dynamic response of second order system for various values of damping coefficient. Define the terms used to describe the underdamped second order system

6 Prove that offset always exists for feedback control system with PD controller

7 A proportional controller is used control two liquid level systems connected in a non-interacting way. The time constant for tanks are 1 and 0.5. The value of the controller gain is 5. Assume that unity feedback control system. A step of magnitude 0.7 in set-point is introduced. Assume that gain of the plant is unity. Determine the offset.

8 Obtain the closed loop transfer function for Figure 8.1

9 Obtain the closed loop transfer function for servo and disturbance rejection regulatory problem

10 A PD controller is used to control two liquid level systems connected in a non-interacting structure with derivative time is 4 min. The time constant for tanks are 1 and 0.5. The gain of the process is 0.5. The transfer function of measuring element is 1/s Assume that the final control element having unity transfer function. Determine the stability of the system for servo problem.

Fig: 8.1

MANIPAL INSTITUTE OF TECHNOLOGY (A constituent college of Manipal University, Manipal)

Manipal Karnataka 576 104