Feedback Control System To Control The Composition Of The Output Stream In A Stirred Tank Blending Process Is Shown In F 1 (33.33 KiB) Viewed 53 times
Feedback Control System To Control The Composition Of The Output Stream In A Stirred Tank Blending Process Is Shown In F 2 (42.97 KiB) Viewed 53 times
Feedback control system to control the composition of the output stream in a stirred tank blending process is shown in Figure 11.1, page 176 of Textbook as shown belowi 00 V Figure 11.1 Composition control system for a stirred-tank blending process Muss fraction of the output stream is the controlled variable, flow rate w 2 of the input strear is the manipulated variable and mass traction x 1 of the other input stream is the disturbance variable. The following data are available Volume and density are constant. V. 3.2 m - 900 kg/m3 The process is operating at steady state with w 1-500 kg/min, w 2- 300 kg/min, X 10.4 x 20.8 GmKm- 16 mma fraction). GKv 20 kg min ma The process transfer function GpX'WW 2's) 1/31) where TVp/w and K 11-xVw The transfer function relative to the disturbance variable Go - X(X1"(s) - K2/18+1) where K2 w/ A PI controller is used with K-3 and =1 min The set point for the mass fraction x is set at the initial steady state value. if the disturbance variable x1 in suddenly decreased to 0 2 from the initial steady state value of 0.4, derive an expression for the response of outlet composition to this step chang Expression by Calculate the composition of the exit stream 1 minutes after the change. Ix-1min (c) Calculate the composition of the exit stream 2 minutes after the change. [X-2min Id What is the composition x when a new steady state is reached? (New-SS] loj What is the offset? OFFSET
х Mass fraction x of the output stream is the controlled variable, flow rate w 2 of the input stream is the manipulated variable and mass fraction x 1 of the other input stream is the disturbance variable. The following data are available: Volume and density are constant. V=3.2 m3 p=900 kg/m 3 The process is operating at steady state with w 1-500 kg/min, w 2= 300 kg/min, X 10.4, 20.8 Gm=km = 16 mA/(mass fraction), Gv=Kv = 20 kg/min MA The process transfer function G p=X'(s)/W 2'(s) = K 1/(ts+1) where T = Vp/w and K 1 =(1-x)/W The transfer function relative to the disturbance variable Gd=X'(s)/X 1'(s) - K 2/(18+1) where K 2 =W1/W A PI controller is used with K-3 and T1 = 1 min The set point for the exit mass fraction x is set at the initial steady state value. (a) If the disturbance variable x1 is suddenly decreased to 0.2 from the initial steady state value of 0.4, derive an expressio [Expression) (b) Calculate the composition of the exit stream (x) 1 minutes after the change. Ix-1min) (c) Calculate the composition of the exit stream (X) 2 minutes after the change. [X-2min) (d) What is the composition x when a new steady state is reached? [New-SS] (e) What is the offset? (OFFSET Anal
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