Problem #4 !Consider the gas pressure control system shown below. The relationship between tank pressure and theflow rate of the two feed streams is given by the following Laplace domain model:0.40.4P'(s) =- Q; (s) +Q¿(s)(0.15s + 1)(0.8s + 1)(0.15s + 1)(0.8s +1)The tank pressure is in psig, the flow rates are in ft/min (cfm), the time constants are in minutes, and thegains have units of psi/cfm. The pressure is controlled by adjusting the flow rate of stream-2, q2. The airoperated control valve has the following transfer function in which the time constant is in minutes and thegain has units of cfm/psi:Q;(s)P(s)0.10s +1The output from the pressure transmitter (PT) varies linearly from 4 to 20 mA as the pressure in the tankvaries from 0 to 32 psig. The sensor/ transmitter time constant is negligible. The proportional controller(PC) output signal range is 4-20 mA, and it is transmitted to a current-to-pressure transducer (KIP).(a) Draw a block diagram for the control system, and place the actual transfer function of each elementin the appropriate block of the diagram. Note: using the generic notation Ge, Gv, Gp, Gm, etc is notассеptable.(b) Develop an approximate FOPDT for the open-loop model of the using Skogestad methodology.(d) Design a pressure controller for the system that will provide good disturbance rejection and preventoffset. Clearly identify the method you used to design your controller and the reasoning for yourchoice. Determine the numerical values for your controller tuning parameters.93(PT(PCI/Pよ。91

Value of kip is not given, so iam using it as a variable

Problem #4 ' Consider the gas pressure control system shown below. The relationship betv flow rate of the two feed streams is given by the following Laplace domain m 0.4 0.4 P'(s) = Q{(s) + (0.15s + 1)(0.8s + 1) (0.15s + 1)(0.8s +1 The tank pressure is in psig, the flow rates are in ft/min (cfm), the time const gains have units of psi/cfm. The pressure is controlled by adjusting the flow : operated control valve has the following transfer function in which the time c gain has units of cfm/psi:

Problem #4 ' Consider the gas pressure control system shown below. The relationship betv flow rate of the two feed streams is given by the following Laplace domain m 0.4 0.4 P'(s) = Q{(s) + (0.15s + 1)(0.8s + 1) (0.15s + 1)(0.8s +1 The tank pressure is in psig, the flow rates are in ft/min (cfm), the time const gains have units of psi/cfm. The pressure is controlled by adjusting the flow : operated control valve has the following transfer function in which the time c gain has units of cfm/psi:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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