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2003 Course Process Dynamics & Control

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Total No. of Questions : 12] P1011 [Total No. of Pages : 3 [3664]-272 B.E. (Chemical) PROCESS DYNAMICS AND CONTROL (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer 3 questions from Section-I and 3 questions from Section-II. 2) Answers to the two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Use of electronic pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) Derive the Input-Output model for a Stirred Tank Heater. [8] b) What are various forcing functions to study the dynamic response of a system? Explain with neat sketches. [10] OR Q2) a) Compare simple feedback and feedforward control configurations based upon performance alongwith proper justifications. [8] b) What are SISO and MIMO systems? Give examples of chemical processes for both the systems. [10] Q3) a) Study the response of a first order lag to a unit impulse input. [8] b) Show that a tank with variable cross sectional area along its height also has variable time constant and static gain. [8] OR Q4) a) A first order process is described by a transfer function: G ( s) = 1 1 + p .s Establish the time response for unit step change in input. [6] P.T.O. b) Consider a second order system with following transfer function: [10] G (s) = Y ( s) 1 =2 . X ( s) s + s + 1 Introduce a step change of magnitude 1 into the system and find i) % overshoot ii) iii) Ultimate value of Y(t) Decay ratio iv) Rise time Q5) a) Explain the Routh Criteria for stability. [6] b) Discuss the effects of KC, TI and TD on the closed loop response of a process controlled with PID. [10] OR Q6) A first order process having transfer function G p ( s) = [16] Kp 1 + p .s is controlled by integral controller with KC = 1. Assuming Gm = Gf = 1 find: a) Closed loop transfer function b) Order of response c) Closed loop time constant d) Offset. Assume Servo problem. SECTION - II Q7) a) Sketch the root locus for the following transfer function: G (s) = K s ( s 2 + 2 s + 2) [10] b) Using Routh-Hurwitz criteria, check the stability of a system described by the equation. [8] s3 + 6s2 + 11s + 6 = 0 [3664]-272 -2- OR Q8) a) Draw the root locus of a closed system with G p ( s) = 2 , s 4 1 GC ( s ) = K C 1 + s Gm(s) = Gf(s) = 1 [10] b) If a closed loop response in stable with respect to changes in set point, is it stable to changes in the load? Justify your answer. [8] Q9) a) Explain override control for steam distribution system. [6] b) Explain cascade control system to control CSTR. Draw neat block diagram and sketch the system. [10] OR Q10) a) Explain the Ratio Control System. [8] b) With block diagrams, state the advantages and disadvantages of [8] Feedback and Feedforward control systems. Q11) Explain in details all the elements and their working in Distillation column [16] control with neat instrumentation diagram. OR Q12) Draw the process instrumentation diagram of Heat Exchanger Control. Discuss in detail all the elements of the system. [16] [3664]-272 -3-

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