24-1
±²³´µ¶·¸¹º¸
24.1
a)
i.
First model (full compositions model):
Number of variables:
N
V
= 22
w
1
x
R,A
x
2
B
w
2
x
R,B
x
2
D
w
3
x
R,C
x
4
C
w
4
x
R,D
x
5
D
w
5
x
T,D
x
6
D
w
6
V
T
x
7
D
w
7
H
T
x
8
D
w
8
Number of Equations:
N
E
= 17
Eqs. 2-8, 9, 10, 12, 13, 15, 16, 18, 20(3X), 21, 22, 27, 28, 29, 31
Number of Parameters:
N
P
= 4
V
R
, k,
α
,
ρ
Degrees of freedom:
N
F
= 22
– 17 = 5
Number of manipulated variables:
N
MV
= 4
w
1
,
w
2
,
w
6
,
w
8
Number of disturbance variables:
N
DV
= 1
x
2
D
Number of controlled variables:
N
CV
= 4
x
4
A
,
w
4
,
H
T
,
x
8
D
Solution Manual for Process Dynamics and Control, 2
nd
edition,
Copyright © 2004
by Dale E. Seborg, Thomas F. Edgar and Duncan A. Mellichamp