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2003 Course Process Dynamics Simulation & Control

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Total No. of Questions : 10] P1325 [Total No. of Pages : 4 [3664]-324 B.E. (Petrochemical) PROCESS DYNAMICS SIMULATION AND CONTROL (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Answers 3 questions from each section. 2) Answers to the two sections should be written on separate answer 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. Q1) a) b) Q2) a) b) SECTION - I Discuss the various objectives and benefits of process control. [6] Dynamics of a system can be represented by following set of equations: dx1 = 2 x1 + 3 x 2 + 1 with x1(0) = 0 dt dx 2 = 2 x1 + x 2 + e t with x2(0) = 0 dt i) Use Laplace transforms to obtain corresponding algebraic equations. ii) Solve obtained algebraic equations using Cramer's rule. iii) Use Heaviside expansions for the roots and subsequently report the solutions in time domain. [10] What is damping factor? With help of neat diagram explain its effect on dynamic response of second order system. [4] Determine the transfer function H ( s ) for the liquid level system shown Q( s ) in the figure. Resistances R1 and R2 can be considered to be linear. Flow from tank 3 is maintained constant at a pre-set value M by means of a pump. All 3 tanks are non-interacting with each other. [8] P.T.O.

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