GPS-X Technical Reference

A-8 Appendix A –Petersen Matrices
Component i 1
j
Process
SI
2
SS
3
XI
4
XS
5
XB,H
6
XB,A
7
XSTO
8
SO
ASM3 IN CNLIB
1 Hydrolysis fsi 1-fsi -1 y1 z1
2 Aerobic storage
of ss to xsto
3 Anoxic storage of
ss to xsto
4 Aerobic growth
on xsto
-1 YSTO-O2 x2 y2 z2
-1 YSTO-NO x3 y3 -x3 z3
1
1
Y
H O
2
9
SNO
10
SNH
11
SNN
12
SALK
x4 y4 z4
Process rate, j
X X
S
O
S
S
X
KO
S
O
KS
S
S
K
O
SNO
ηNO
KO
S
O
KNO
S
S B , H
k
H
X
B,
H
KX
X
S
X
B , H
k
STO
B,
H
S
k
STO
X
B,
H
NO
KS
S
S
S
S
S
S
K
O
NH
ALK
STO B,
H
μ
H
X
B,
H
KO
S
O
KNH
S
NH
KHCO
SALK
STO
X
STO
X
B,
H
X
X
5 Anoxic growth on
xsto
(denitrification)
1
1
x5 y5 -x5 z5
Y
H NO
K
S
S
O
NO
NH
ALK
STO B,
H
μ
HηNO
X
B,
H
KO
S
O
K
NO
S
NO
K
NH
S
NH
KHCO
S
ALK
KSTO
X
STO
X
B,
H
S
X
X
6 Aerobic
endogenous
respiration
7 Anoxic
endogenous
respiration
8 Aerobic
respiration of xsto
9 Anoxic
respiration of xsto
10 Nitrification
(aerobic)
11 Aerobic
endogenous
respiration
fi -1 x6 y6 z6
fi -1 x7 y7 -x7 z7
-1 -(1-fi) y8
-1 x9 y9 -y9 z9
1 -1
1
y10 z10
Y
A
fi -1 -(1-fi) y11 z11
SO
b
H , O 2
X
B,
H
K
O
S
O
K
O
SNO
NO
X
, B
KO
SO
KNO
S
NO
S
O
bSTO
O
X
STO
KO
S
, 2
O
K
O
S
NO
bSTO
NO
X
KO
S
O
KNO
S
,
NO
S
O
S
NH
A
K
A,
O
S
O
K
A,
NH
S
NH
K
b
H
, H
ALK
μ X
B,
A
A,
HCO
S
ALK
S
,
O
b
A O 2
X
B , A
K
O
SO
STO
S
GPS-X Technical Reference