136
I
I
I
R I
V
n
n
n
n
n
sc
ph
s sc
T
,
,
,
,
,
exp
=
−
−
0
1
(7.7)
0
1
0
=
−
−
I
I
V
V
n
n
n
n
ph
oc
T
,
,
,
,
exp
(7.8)
I
I
I
V
RI
V
n
n
n
n
n
n
mpp
p h
mpp
s mpp
T
,
,
,
,
,
,
exp
=
−
+
−
0
1
(7.9)
The diode saturation current can thus be shown by its dependence on the
temperature of the bioreactor [30]:
I I
T
T
qE
ak T T
n
n
n
0
0
3
1 1
=
−
,
exp
G
(7.10)
Here E G represents the bandgap energy of the electricity energy. Equation (7.8)
shows that the diode saturation current at the STC and the photocurrent at STC
are linked:
I
I
V
V
n
n
n
n
0
1
,
,
,
,
exp
=
−
ph
oc
T
(7.11)
The electricity generation model can be further enhanced if Eq. (7.8) is substituted by
I
I
T
V
V
n
n
T
0
1
=
+
−
+
sc
I
oc
T
v
,
,
exp
α
α
∆
∆
(7.12)
By assuming V oc,n /V T,n ≫ 1, I 0,n can be shown as
I
I
V
V
n
n
n
n
0,
,
,
,
exp
=
−
ph
oc
T
(7.13)
Using Eqs. (7.13) and (7.6), it can be shown that
V V
V
I
I
R I
n
n
n
I
n
=
+
+
−
−
oc
T
ph
s
,
,
,
,
ln 1
0
(7.14)
7 Advanced Green Building Technology
I
I
I
R I
V
n
n
n
n
n
sc
ph
s sc
T
,
,
,
,
,
exp
=
−
−
0
1
(7.7)
0
1
0
=
−
−
I
I
V
V
n
n
n
n
ph
oc
T
,
,
,
,
exp
(7.8)
I
I
I
V
RI
V
n
n
n
n
n
n
mpp
p h
mpp
s mpp
T
,
,
,
,
,
,
exp
=
−
+
−
0
1
(7.9)
The diode saturation current can thus be shown by its dependence on the
temperature of the bioreactor [30]:
I I
T
T
qE
ak T T
n
n
n
0
0
3
1 1
=
−
,
exp
G
(7.10)
Here E G represents the bandgap energy of the electricity energy. Equation (7.8)
shows that the diode saturation current at the STC and the photocurrent at STC
are linked:
I
I
V
V
n
n
n
n
0
1
,
,
,
,
exp
=
−
ph
oc
T
(7.11)
The electricity generation model can be further enhanced if Eq. (7.8) is substituted by
I
I
T
V
V
n
n
T
0
1
=
+
−
+
sc
I
oc
T
v
,
,
exp
α
α
∆
∆
(7.12)
By assuming V oc,n /V T,n ≫ 1, I 0,n can be shown as
I
I
V
V
n
n
n
n
0,
,
,
,
exp
=
−
ph
oc
T
(7.13)
Using Eqs. (7.13) and (7.6), it can be shown that
V V
V
I
I
R I
n
n
n
I
n
=
+
+
−
−
oc
T
ph
s
,
,
,
,
ln 1
0
(7.14)
7 Advanced Green Building Technology