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2003 Course Process Dynamics & Control

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Total No. of Questions : 8] P1497 [Total No. of Pages : 2 [3764] - 394 B.E. (Petrochemical) PROCESS DYNAMICS & CONTROL (2003 Course) Time : 3 Hours] [Max. Marks :100 Instructions to the candidates: 1) Answers three questions from each section. 2) Answers to the two sections should be written in separate books. 3) Figures to the right indicate full marks. 4) Use of logarithmic tables, slide rule, Mollier Charts, electronic pocket calculator and steam table is allowed. 5) Assume suitable data, if necessary. SECTION - I Q1) a) b) Q2) a) b) c) Q3) a) b) c) Q4) a) Define following with help of neat diagrams: Decay Ratio, Damping Factor, Rise Time, Response Time. [8] Develop the mathematical expressions of two non-interacting tanks placed in series. Discuss the dynamics of the system. [8] What is linearization ? Why liberalized approximate models are useful for process control purposes? [6] Discuss the merits and usefulness of Feed-forward and Feed-back Control loops. [6] With help of neat sketch explain the proportional, derivative and integral modes of a PID controller. [6] What are Servo and Regulatory control problems - Discuss with help of neat diagram. [4] Derive the expression for overall transfer function of a simple thermometer. [6] Discuss the objectives and benefits of process control. [6] Solve the differential equation with help of Laplace Transform : [8] d2y dy + 3 y = 3t where y (0) = 0 and y (0) = 2 2 dt dt P.T.O. b) Find the overall transfer function of the following system : [8] SECTION - II Q5) a) b) c) Q6) a) b) Q7) a) b) Define Poles and Zeros of transfer function - Explain their significances. [4] nd Draw a representative Bode Plot for 2 order System. [8] Write a short note on Controller Tuning. [4] Describe with proper sketch the feed-back control scheme for a binary distillation column. [8] Oil and water are to be separated based on their differences in density. Develop a programmable logic control (PLC) algorithm for this industrially important process. [8] c) Explain Cascade Control Scheme with help of a suitable example. [6] With help of sketch explain transformations of Discrete Signals to Continuous and vice-versa. [6] With help of diagram explain Gain Margin and Phase Margin. [6] Q8) a) Calculate Amplitude Ratio and Phase Angle for overdamped 2nd order system with transfer function: G ( S ) = b) 12 . (4 s + 1) (6s + 1) [8] Comment on the stability of the system represented by the closed loop transfer function as given below. [8] TTT [3764]-394 2

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