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Please include the block diagram of the process if possible, thank you! Considered the distillation column shown in Figure Q.4. P Feed (1) Accumulator D,
Please include the block diagram of the process if possible, thank you!
Considered the distillation column shown in Figure Q.4. P Feed (1) Accumulator D, Xe % Distillate (2) More VFC XE. Boil up V Steam In B. Xo % Bottoin (3) Condensate Figure Q.4 : Schematic of a distillation column Stream (1), the feed stream has a flowrates F (kg/hr) and the weight fraction of the more volatile component (MVC) is XF. Stream (2), the top product, has a flowrate of D (kg/hr) and the weight fraction of the MVC is Xp, while the bottom stream (3), the bottom product, has a flowrate, B (kg/hr) with a MVC weight fraction of XB. Suppose the following transfer function model has been identified; XD(S) D(S) kpeas 10s +1 -205 X,(s) ke F(s) 50s +1 = Where, the process gain, kp and k vary with process operating point due to the nonlinear nature of the process. The controlled variable is Xp(s), the manipulated variable is D(s) and the F(s) may be considered as a measured disturbance variable. Set the closed loop transfer function equal to a first order plus dead-time transfer function with a pain of 1, a time constant of 10 minutes, and a time delay of 2 minutes hence, analyse the stability of the system using the Routh stability method and determine the minimum and the maximum stable gain for the controller (Kc). Sensor/Transmitter: The sensor/transmitter has unitary gain (crc) Gm(s) = 1.0 Control valve: The control valve (linear characteristics) Gv(s) 1 2s +1 Controller: The controller is proportional only Ge(s) = K. Hints: Use the first order Pad approximation to express the exponential term in a rational form. [10 marks]Step by Step Solution
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