CHBE470 – Process Dynamics and Control – Fall 2007
Homework Set 6
Assigned: Wednesday, October 22
Due: Wednesday, October 29
Note: Please staple your papers and include your name in the first page
Problem 1: Consider the general closed-loop block diagram
CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 5
Assigned: Wednesday, October 17
Due: Wednesday, October 24
Note: Please staple your papers and include your name in the first page
Problem 1: Consider the general closed-loop block diagram
CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 3
Assigned: Wednesday, September 19
Due: Wednesday, September 26
Note: Please staple your papers and include your name in the first page
Use table 7.1 from textbook wherever you find appropr
CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 2
Assigned: Wednesday, September 12
Due: Wednesday, September 19
Note: Please staple your papers and include your name in the first page
Use table 7.1 (pages 137-138) from textbook wherever
CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 7
Assigned: Friday, November 2
Due: Friday, November 8
Note: Please staple your papers and include your name in the first page
Problem 1: For the transfer function:
G(s) =
3
(8s + 1)(2s + 1)
Problem 1 a) The transfer function of this process can be expressed as the product of three first order lag transfer functions. The AR and phase angles of a general 1st order lag are:
AR =
K +1
2 2
and = tan 1 ()
(S1.1)
Thus, applying the principle of sup
Problem 1
controller valve tank 1
1 0.2s + 0.4s + 1
2
ySP (s)
k C (1 + 3 s)
y(s)
1
Measuring device
2
Figure 1
The characteristic equation for the closed loop in figure 1 can be written as follows:
1 + G OL (s) = 1 +
2k C (1 + 3 s) 0.2s 2 + 0.4s + 1
(S1.1
Problem 1
ySP (s) +
k = 1.6
5 (s + 1)(2s + 1)
y(s)
The closed loop transfer function can be written as follows:
8 y(s) 8 89 (s + 1)(2s + 1) G CL (s) = = =2 = 2 8 ySP (s) 1 + 2s + 3s + 9 2 9s + 1 3s + 1 (s + 1)(2s + 1) Thus, comparing (S1.1) to the standar
Problem 1 a) For noninteracting capacities with linear resistances subject to a unit-step change in the input of the first tank, the material balance can be written as follows:
A1R1
A2R 2
dy1 + y1 = R1u(t) dt
dy 2 R + y 2 = 2 y1 dt R1
(S1.1)
(S1.2)
subjec
Problem 1 From table 7.1 in the textbook, the Laplace transform of y(t)=te-t is: L te t = y(s) = 1 (s + 1) 2 (S1.1)
Moreover, the Laplace transform of the unit-impulse (t) is:
L [ (t) ] = u(s) = 1
(S1.2)
Since u(t)=0 all the time but at t=to, assuming tha
Problem 1 Overall Material Balance:
dn d(V) d(Ah) = = = i Fi F dt dt dt
A
dh d + Ah = i Fi F dt dt
(S1.1)
In absence of chemical reactions and at constant temperature and pressure, the density of the fluid liquid in the tank can be assumed constant. There
Problem 1
Overall Material Balance:
dn d(V) = = i Fi F dt dt
( Fi F ) = 0
dV d +V = i Fi F dt dt
(S1.1)
Assuming constant density and reactor volume, equation (S1.1) yields:
Fi F = 0
(S1.2)
Therefore, the input and output flow rates are equal at each po
CHBE 470 - Control Design Problem Maleic Anhydride Plant Homework #9 - Due November 30, 2007 The feed preparation and reaction section of a Maleic Anhydride plant is shown in the following sketch. In this exercise, you will design controls for this plant.
CHBE 470 Process Dynamics and Control Fall 2007 Homework Set 4 Assigned: Wednesday, September 26 Due: Wednesday, October 3
Note: Please staple your papers and include your name in the first page Use table 7.1 from textbook wherever you find appropriate Pr
Problem 1
Overall Material Balance:
dn d(V) = = i Fi F dt dt
( Fi F ) = 0
dV d +V = i Fi F dt dt
(S1.1)
Assuming constant density and reactor volume, equation (S1.1) yields:
Fi F = 0
(S1.2)
Therefore, the input and output flow rates are equal at each po