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J
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25
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No
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2
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Feb
r
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20
22
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ar
d
ize
d
ad
ju
s
ted
r
esid
u
als ar
e
g
iv
e
n
b
y
(
1
0
)
;
=
(
1
0
)
C
is
th
e
tu
n
in
g
co
n
s
tan
t=4
.
6
8
5
S is
th
e
r
o
b
u
s
t stan
d
ar
d
d
ev
iat
io
n
3)
C
o
m
p
u
te
th
e
r
o
b
u
s
t w
eig
h
ts
a
s
a
f
u
n
ctio
n
o
f
u
.
T
h
e
Bi
-
s
q
u
ar
e
weig
h
ts
ar
e
g
iv
en
b
y
(
1
1
)
;
=
{
(
1
−
(
)
2
)
2
|
|
<
1
0
|
|
≥
1
}
(
1
1
)
4)
Per
f
o
r
m
th
e
n
e
x
t iter
atio
n
o
f
t
h
e
f
itti
n
g
p
r
o
ce
d
u
r
e
b
y
r
etu
r
n
i
n
g
to
th
e
f
ir
s
t step
if
th
e
co
m
p
u
tatio
n
f
ails
to
co
n
v
er
g
e
at
f
ir
s
t iter
atio
n
.
3.
DE
V
E
L
O
P
M
E
N
T
O
F
F
UE
L
Q
UANT
I
T
Y
F
UNCT
I
O
N
T
h
e
f
u
el
q
u
a
n
tity
co
n
s
u
m
ed
b
y
th
e
s
tatio
n
s
an
d
th
eir
p
o
w
er
o
u
tp
u
t
ar
e
co
m
p
iled
u
s
in
g
Mic
r
o
s
o
f
t
E
x
ce
l
Pack
ag
e.
T
h
is
d
ata
w
h
ich
co
n
s
titu
tes
th
e
in
p
u
t
-
o
u
t
p
u
t
d
ata
f
o
r
th
e
s
tatio
n
s
is
u
s
ed
to
d
ev
elo
p
th
e
in
p
u
t
-
o
u
tp
u
t
c
h
ar
ac
ter
is
tic
cu
r
v
e
u
s
in
g
c
u
r
v
e
f
itti
n
g
t
o
o
ls
in
MA
T
L
AB
2
0
1
7
m
o
d
el.
T
h
e
co
ef
f
icien
ts
o
f
f
u
el
q
u
an
tity
f
u
n
ctio
n
a
r
e
o
b
tain
ed
f
r
o
m
th
e
cu
r
v
e
alo
n
g
s
id
e
t
h
e
‘
g
o
o
d
n
ess
o
f
f
it’
.
3
.
1
.
E
g
bin
po
wer
s
t
a
t
io
n
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
q
u
an
tity
o
f
f
u
el
u
tili
ze
d
b
y
th
e
s
tatio
n
an
d
t
h
e
p
o
we
r
o
u
t
p
u
t
f
r
o
m
t
h
e
g
en
er
ato
r
(
in
p
u
t
-
o
u
tp
u
t
r
elatio
n
s
h
ip
)
is
d
escr
ib
e
d
b
y
t
h
e
g
r
a
p
h
in
Fig
u
r
e
1
.
T
h
is
r
elatio
n
s
h
ip
cu
r
v
e
is
o
b
tain
ed
u
s
in
g
th
e
o
r
d
i
n
ar
y
least
s
q
u
ar
e
ap
p
r
o
ac
h
(
OL
S).
T
h
e
g
o
o
d
n
ess
o
f
f
it
is
d
escr
ib
ed
th
u
s
:
R
-
s
q
u
ar
e=
0
.
3
6
5
1
;
ad
ju
s
ted
R
-
s
q
u
ar
e=
0
.
3
6
2
6
;
R
MSE
=2
3
6
4
.
T
h
e
r
esid
u
al
p
lo
t
ca
n
b
e
s
ee
n
in
Fig
u
r
e
2
.
T
h
is
p
lo
t
s
h
o
ws
h
o
w
m
u
ch
th
e
o
u
tlier
s
d
if
f
er
f
r
o
m
t
h
e
f
itted
m
o
d
el.
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
f
u
el
in
p
u
t
an
d
p
o
wer
o
u
t
p
u
t f
o
r
th
e
g
en
er
atin
g
s
tatio
n
is
o
b
tai
n
ed
u
s
in
g
a
r
o
b
u
s
t
least
s
q
u
ar
e
ap
p
r
o
a
ch
k
n
o
wn
as
B
i
-
s
q
u
ar
e.
T
h
e
r
elatio
n
s
h
ip
cu
r
v
e
is
s
h
o
wn
in
Fig
u
r
e
3
.
T
h
e
g
o
o
d
n
ess
o
f
f
it
is
d
escr
ib
ed
t
h
u
s
:
R
-
s
q
u
ar
e=
0
.
9
8
4
7
;
a
d
ju
s
ted
R
-
s
q
u
ar
e=
0
.
9
8
4
6
;
R
MSE
=3
6
7
.
1
.
T
h
e
r
esid
u
al
p
lo
t c
an
b
e
s
ee
n
in
Fig
u
r
e
4
.
Af
ter
th
e
test
ca
r
r
ied
o
u
t
o
n
th
e
th
r
ee
ap
p
r
o
ac
h
es
(
OL
S
an
d
B
i
-
s
q
u
ar
e)
,
th
e
B
i
-
s
q
u
ar
e
ap
p
r
o
ac
h
p
r
o
d
u
ce
d
t
h
e
b
est
g
o
o
d
n
ess
o
f
f
it.
I
t
h
ad
a
l
o
wer
R
MSE
,
a
h
ig
h
e
r
R
-
s
q
u
ar
e
an
d
a
h
i
g
h
er
ad
ju
s
ted
R
-
s
q
u
ar
e
th
an
th
e
OL
S
ap
p
r
o
ac
h
.
Hen
c
e,
th
e
co
ef
f
icien
ts
to
g
eth
er
with
th
e
wid
th
in
ter
v
als
o
b
tain
ed
f
r
o
m
th
e
B
i
-
s
q
u
ar
e
ap
p
r
o
ac
h
ar
e
th
u
s
;
a=
4
.
2
8
8
e
-
0
5
(
0
.
0
0
1
0
7
2
8
)
b
=1
2
.
0
9
(
1
.
6
4
)
c=
1
1
.
1
(
6
1
6
.
6
)
d
=6
.
4
4
7
(
1
5
0
.
4
3
)
e=
0
.
1
4
5
3
(
0
.
0
1
5
2
)
T
h
e
q
u
a
d
r
atic
f
u
el
q
u
an
tity
f
u
n
ctio
n
f
o
r
E
g
b
in
p
o
wer
g
e
n
er
a
tin
g
s
tatio
n
is
g
iv
en
th
u
s
:
13
(
13
)
=
0
.
00004288
13
2
+
12
.
09
13
+
11
.
1
+
|
6
.
447
s
in
(
0
.
1453
(
13
−
13
)
)
|
(
1
2
a)
f
r
o
m
th
e
cu
r
v
e
f
itti
n
g
,
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
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SS
N:
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-
4
7
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o
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u
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r
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en
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ca
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e
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o
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u
s
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(
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(
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−
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t
h
ese
co
ef
f
icien
ts
wer
e
co
m
p
u
ted
with
9
5
% c
o
n
f
id
en
ce
b
o
u
n
d
.
Fig
u
r
e
1
.
I
n
p
u
t
-
o
u
tp
u
t c
u
r
v
e
f
o
r
E
g
b
i
n
p
o
we
r
g
en
e
r
atin
g
s
ta
tio
n
(
OL
S)
Fig
u
r
e
2
.
T
h
e
r
esid
u
al
p
lo
t f
r
o
m
th
e
in
p
u
t
-
o
u
tp
u
t c
h
ar
ac
te
r
is
tics
cu
r
v
e
o
f
E
g
b
in
p
o
wer
s
tatio
n
Fig
u
r
e
3
.
I
n
p
u
t
-
o
u
tp
u
t c
u
r
v
e
f
o
r
E
g
b
i
n
p
o
we
r
s
tatio
n
(
B
i
-
s
q
u
ar
e)
100
200
300
400
500
600
700
800
900
1000
1100
0
.
5
1
1
.
5
2
2
.
5
x
1
0
4
P
1
3
(
M
W
)
h
1
3
(
M
M
B
T
U
/
h
r
)
h
1
3
v
s
.
P
1
3
E
g
b
i
n
P
.
S
100
200
300
400
500
600
700
800
900
1000
1100
-
2
0
0
0
0
2000
4000
6000
8000
10000
12000
14000
16000
P
1
3
(
M
W
)
h
3
(
M
M
B
T
U
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h
r
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g
b
i
n
P
.
S
-
r
e
s
i
d
u
a
l
s
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300
400
500
600
700
800
900
1000
1100
0
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r
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.
S
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
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:
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g
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p
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,
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.
2
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Feb
r
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a
r
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Fig
u
r
e
4
.
T
h
e
r
esid
u
al
p
lo
t f
r
o
m
th
e
in
p
u
t
-
o
u
tp
u
t c
h
ar
ac
te
r
is
tics
cu
r
v
e
o
f
E
g
b
in
p
o
wer
g
en
er
atin
g
s
tatio
n
3
.
2
.
Sa
pele
s
t
ea
m
po
wer
g
en
er
a
t
ing
s
t
a
t
io
ns
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
q
u
an
tity
o
f
f
u
el
u
tili
ze
d
b
y
th
e
s
tatio
n
an
d
t
h
e
p
o
we
r
o
u
t
p
u
t
f
r
o
m
t
h
e
g
en
er
ato
r
(
in
p
u
t
-
o
u
tp
u
t
r
elatio
n
s
h
ip
)
is
d
escr
ib
e
d
b
y
t
h
e
g
r
a
p
h
in
Fig
u
r
e
5
.
T
h
is
r
elatio
n
s
h
ip
cu
r
v
e
is
o
b
tain
ed
u
s
in
g
th
e
o
r
d
in
ar
y
least
s
q
u
ar
e
ap
p
r
o
ac
h
(O
L
S).
T
h
e
f
u
el
in
p
u
t
wh
ich
is
m
ea
s
u
r
ed
in
MM
B
T
U/h
r
is
r
ep
r
esen
ted
b
y
th
e
v
er
tical
ax
i
s
(
h
1
4
)
.
T
h
e
p
o
wer
o
u
tp
u
t
f
r
o
m
th
e
s
tatio
n
is
r
ep
r
esen
ted
b
y
th
e
h
o
r
izo
n
tal
ax
is
(
P1
4
)
.
T
h
e
g
o
o
d
n
ess
o
f
f
it is
d
escr
ib
ed
th
u
s
:
R
-
s
q
u
ar
e=
0
.
4
5
3
;
ad
ju
s
ted
R
-
s
q
u
ar
e=
0
.
4
4
9
6
;
R
MS
E
=2
9
6
.
1
.
T
h
e
r
esid
u
al
p
lo
t
ca
n
b
e
s
ee
n
in
Fig
u
r
e
6
.
T
h
is
p
lo
t
s
h
o
ws
h
o
w
m
u
ch
th
e
o
u
tlier
s
d
if
f
er
f
r
o
m
th
e
f
itted
m
o
d
el.
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
th
e
f
u
el
in
p
u
t
an
d
p
o
wer
o
u
tp
u
t
f
o
r
th
e
g
en
er
atin
g
s
tatio
n
is
o
b
tain
ed
u
s
in
g
a
r
o
b
u
s
t
least
s
q
u
ar
e
ap
p
r
o
ac
h
k
n
o
wn
as
B
i
-
s
q
u
ar
e.
T
h
e
r
elatio
n
s
h
ip
cu
r
v
e
is
s
h
o
wn
in
Fig
u
r
e
7
.
T
h
e
g
o
o
d
n
ess
o
f
f
it
is
d
escr
ib
e
d
t
h
u
s
:
R
-
s
q
u
ar
e=
0
.
9
7
8
4
;
ad
ju
s
t
ed
R
-
s
q
u
ar
e=
0
.
9
7
8
3
;
R
MSE
=5
8
.
7
7
;
T
h
e
r
esid
u
al
p
lo
t c
an
b
e
s
ee
n
in
Fig
u
r
e
8
.
Af
ter
th
e
test
ca
r
r
ied
o
u
t
o
n
th
e
two
ap
p
r
o
ac
h
es
(
OL
S
an
d
Bi
-
s
q
u
ar
e)
,
th
e
B
i
-
s
q
u
ar
e
ap
p
r
o
ac
h
p
r
o
d
u
ce
d
t
h
e
b
est
g
o
o
d
n
ess
o
f
f
it.
I
t
h
ad
a
l
o
wer
R
MSE
,
a
h
ig
h
e
r
R
-
s
q
u
ar
e
an
d
a
h
i
g
h
er
ad
ju
s
ted
R
-
s
q
u
ar
e
th
an
th
e
OL
S
ap
p
r
o
ac
h
.
Hen
c
e,
th
e
c
o
ef
f
icien
ts
as
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I
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&
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p
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25
,
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.
2
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Feb
r
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r
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20
22
:
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738
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1
4.
RE
SU
L
T
S
I
t
was
s
ee
n
th
at
th
e
th
e
wid
t
h
in
ter
v
als
f
o
r
th
e
v
ar
i
o
u
s
co
e
f
f
i
cien
ts
wer
e
n
ar
r
o
wer
with
th
e
B
i
-
s
q
u
ar
e
tech
n
iq
u
e
h
en
ce
in
d
icatin
g
th
at
th
e
d
eg
r
ee
o
f
u
n
ce
r
tain
ty
i
n
o
b
tain
in
g
th
e
co
ef
f
icien
ts
was
lo
w
as
co
m
p
ar
ed
with
th
e
OL
S
tech
n
iq
u
e.
I
t
was
also
o
b
s
er
v
ed
th
at
th
e
R
-
s
q
u
ar
e
an
d
ad
j
u
s
ted
R
-
s
q
u
ar
e
v
a
lu
es
(
co
ef
f
icien
t
o
f
d
eter
m
in
atio
n
)
o
b
tain
e
d
b
y
u
s
in
g
th
e
B
i
-
s
q
u
ar
e
tech
n
iq
u
e
wer
e
clo
s
er
to
1
th
a
n
th
at
o
f
th
e
OL
S
tech
n
iq
u
e
.
T
h
e
R
MSE
v
alu
es o
b
tain
ed
f
r
o
m
th
e
B
i
-
s
q
u
ar
e
tech
n
iq
u
e
w
er
e
less
th
an
th
at
o
f
th
e
OL
S tec
h
n
iq
u
e.
5.
CO
NCLU
SI
O
N
T
h
is
wo
r
k
co
m
p
ar
ed
two
cl
ass
es
o
f
tech
n
iq
u
es
u
s
ed
f
o
r
th
e
d
ev
elo
p
m
en
t
o
f
th
e
q
u
a
d
r
atic
f
u
el
q
u
an
tity
f
o
r
th
e
d
if
f
er
e
n
t th
er
m
al
s
tatio
n
s
in
Nig
er
ian
3
3
0
k
V
p
o
wer
s
y
s
tem
n
etwo
r
k
.
T
h
e
B
i
-
s
q
u
ar
e
ap
p
r
o
ac
h
wh
ich
is
a
r
o
b
u
s
t
least
s
q
u
ar
e
tech
n
iq
u
e
o
f
f
er
ed
b
etter
p
e
r
f
o
r
m
a
n
ce
in
ter
m
s
o
f
its
g
o
o
d
n
ess
o
f
f
it
wh
en
co
m
p
ar
ed
with
th
e
o
r
d
i
n
ar
y
l
ea
s
t
s
q
u
ar
e
ap
p
r
o
ac
h
.
T
h
e
B
i
-
s
q
u
ar
e
alg
o
r
ith
m
p
r
o
d
u
ce
d
th
e
b
est
f
itti
n
g
wh
en
co
m
p
ar
ed
with
th
e
o
r
d
in
ar
y
le
ast s
q
u
ar
e
ap
p
r
o
ac
h
.
I
n
th
e
ca
s
e
o
f
E
g
b
in
p
o
wer
s
ta
tio
n
an
d
s
ap
ele
s
team
p
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wer
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t
atio
n
,
th
e
B
i
-
s
q
u
ar
e
tech
n
iq
u
e
p
r
o
d
u
ce
d
a
b
etter
wid
th
in
ter
v
al
f
o
r
c
o
ef
f
icien
ts
a,
b
,
c,
d
,
a
n
d
e.
T
h
e
d
if
f
er
e
n
ce
in
wid
th
in
t
er
v
al
o
b
tain
ed
b
y
co
m
p
ar
in
g
b
o
th
tec
h
n
iq
u
es
f
o
r
E
g
b
i
n
p
o
wer
s
tatio
n
is
as
f
o
llo
ws
:
T
h
e
d
if
f
e
r
en
ce
i
n
wid
t
h
in
ter
v
al
o
b
tain
e
d
b
y
co
m
p
ar
in
g
b
o
th
tech
n
iq
u
e
s
f
o
r
E
g
b
in
p
o
we
r
s
tatio
n
p
r
o
d
u
ce
d
th
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f
o
llo
win
g
v
alu
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0
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5
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,
8
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,
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d
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6
f
o
r
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b
,
c,
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,
an
d
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f
icie
n
ts
r
esp
ec
tiv
ely
.
T
h
e
d
if
f
er
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ce
in
wid
th
in
ter
v
al
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b
tain
ed
b
y
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m
p
ar
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g
b
o
th
tech
n
iq
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es
f
o
r
Sap
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v
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0
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0
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,
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f
o
r
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b
,
c,
d
,
an
d
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co
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f
icien
t
s
r
esp
ec
tiv
ely
.
T
h
ese
v
alu
es
wer
e
o
b
tain
ed
b
ased
o
n
th
e
w
id
th
in
ter
v
al
o
f
f
u
el
q
u
an
tity
co
ef
f
icien
ts
f
o
r
g
e
n
er
a
tin
g
s
tatio
n
s
(
h
y
d
r
o
-
th
e
r
m
al
p
l
an
t)
.
T
h
e
B
i
-
s
q
u
ar
e
o
f
f
e
r
ed
b
etter
R
-
s
q
u
ar
e
f
o
r
E
g
b
in
an
d
Sap
el
e
s
team
p
o
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tatio
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s
with
an
ar
ith
m
etic
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if
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o
f
0
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9
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d
0
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5
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esp
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tiv
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also
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f
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d
b
etter
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ted
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s
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ar
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v
alu
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f
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r
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g
b
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d
s
m
aller
r
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o
t
m
ea
n
s
q
u
ar
e
er
r
o
r
t
h
an
th
e
o
r
d
in
ar
y
least
s
q
u
ar
e
tech
n
iq
u
e
f
o
r
b
o
th
s
tatio
n
s
.
T
h
e
a
r
ith
m
eti
c
d
if
f
er
e
n
ce
s
wer
e
o
b
tain
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u
s
in
g
th
e
g
o
o
d
n
ess
o
f
f
it
f
o
r
th
e
c
u
r
v
e
f
itti
n
g
o
f
th
er
m
al
p
lan
ts
(
s
team
p
o
wer
p
lan
ts
)
.
T
h
e
v
alv
e
p
o
in
t
lo
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in
g
ef
f
ec
t
o
f
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g
b
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d
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atic
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m
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p
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e
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atio
n
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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RE
F
E
R
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NC
E
S
[
1
]
L.
L
i
,
Y
.
Y
a
n
g
,
M
.
L.
Ts
e
n
g
,
C.
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.
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a
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.
K.
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i
m
,
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n
o
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me
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.
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D
a
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v
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.
[
2
]
J.
H
.
W
o
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,
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.
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u
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-
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.
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.
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v
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[
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S
.
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k
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.
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[
4
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T.
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-
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[
5
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M
.
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.
R
.
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o
,
J.
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