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d
r
o
p
o
w
er
s
y
s
te
m
s
c
h
ed
u
li
n
g
p
r
o
b
le
m
,
t
h
e
m
o
s
t
d
if
f
ic
u
lt
y
i
s
s
u
e
i
s
to
s
o
lv
e
t
h
e
h
y
d
r
a
u
lic
co
n
s
tr
ain
ts
s
u
cc
es
s
f
u
l
l
y
w
h
ile
th
e
m
ai
n
tar
g
et
i
s
to
r
ed
u
ce
co
s
t
o
f
g
en
er
ati
n
g
elec
tr
icit
y
in
th
er
m
al
p
o
w
er
p
lan
ts
[
3
]
.
B
asicall
y
,
h
y
d
r
o
th
er
m
al
s
y
s
t
e
m
s
c
h
ed
u
lin
g
p
r
o
b
le
m
ca
n
b
e
d
iv
id
ed
i
n
to
s
h
o
r
t
-
ter
m
[
1
-
1
0
]
,
m
ed
iu
m
-
ter
m
[
1
1
-
1
5
]
an
d
lo
n
g
-
ter
m
m
o
d
els
[
1
6
-
2
0
]
b
ased
o
n
th
e
ti
m
e
p
er
io
d
o
f
s
ch
e
d
u
led
o
p
tim
iza
tio
n
.
Sh
o
r
t
-
ter
m
HT
SS
p
r
o
b
lem
is
class
i
f
ied
i
n
to
f
ix
ed
-
h
ea
d
m
o
d
el
[
1
-
7
]
an
d
v
ar
iab
le
h
ea
d
m
o
d
el
[
8
-
1
0
]
,
an
d
th
is
p
r
o
b
lem
w
as
al
s
o
th
e
m
o
s
t
att
r
ac
ted
p
r
o
b
lem
a
m
o
n
g
t
h
r
ee
d
if
f
er
en
t
ti
m
e
p
er
io
d
t
y
p
es.
T
h
e
m
ai
n
d
if
f
er
en
ce
o
f
th
e
p
r
o
b
lem
s
is
s
c
h
ed
u
led
ti
m
e
p
er
io
d
.
Sh
o
r
t
-
ter
m
HT
SS
p
r
o
b
lem
co
n
s
id
er
s
o
n
e
d
a
y
to
o
n
e
w
ee
k
w
h
ile
lo
n
g
-
ter
m
HT
SS
co
n
s
id
er
s
o
v
er
o
n
e
y
ea
r
w
i
th
t
w
el
v
e
m
o
n
t
h
s
o
r
f
o
u
r
s
ea
s
o
n
s
.
T
h
e
ti
m
e
f
r
o
m
o
n
e
w
ee
k
to
o
n
e
m
o
n
t
h
o
r
f
r
o
m
o
n
e
m
o
n
t
h
to
o
n
e
s
ea
s
o
n
i
s
ta
k
en
i
n
to
ac
c
o
u
n
t
in
m
ed
iu
m
-
ter
m
HT
SS
p
r
o
b
lem
.
T
h
e
t
h
r
ee
p
r
o
b
lem
s
h
av
e
t
h
e
s
a
m
e
ch
ar
a
cter
is
tic
th
at
i
s
to
co
n
s
id
er
co
s
t
o
f
p
r
o
d
u
cin
g
elec
tr
icit
y
in
t
h
er
m
al
p
o
w
er
p
lan
t
s
as
an
o
b
j
ec
tiv
e
an
d
n
eg
lect
co
s
t
in
h
y
d
r
o
p
o
w
er
p
lan
t
s
.
I
n
ad
d
itio
n
,
r
en
e
w
ab
le
en
er
g
ies
li
k
e
s
o
lar
en
er
g
y
an
d
w
i
n
d
en
er
g
y
ar
e
n
o
t c
o
n
s
id
er
ed
in
th
e
p
r
o
b
le
m
.
I
n
r
ec
en
t
y
ea
r
s
,
w
i
n
d
t
u
r
b
i
n
es
h
a
v
e
b
ee
n
co
n
s
id
er
ed
in
co
n
v
e
n
tio
n
al
p
o
w
er
s
y
s
t
e
m
s
w
it
h
h
y
d
r
o
th
er
m
al
p
la
n
ts
.
T
h
e
o
p
ti
m
al
g
e
n
er
a
tio
n
b
et
w
ee
n
th
e
s
e
t
h
er
m
al
p
lan
t
s
a
n
d
t
h
ese
w
i
n
d
t
u
r
b
in
e
s
w
a
s
s
u
cc
e
s
s
f
u
ll
y
s
o
l
v
ed
b
y
u
s
i
n
g
m
eta
h
eu
r
i
s
tic
al
g
o
r
ith
m
s
li
k
e
b
ee
co
lo
n
y
al
g
o
r
ith
m
(
B
C
A
)
[
2
1
]
an
d
W
ait
-
See
alg
o
r
ith
m
(
W
S
A
)
[
2
2
]
.
T
h
en
,
th
e
i
n
te
g
r
ated
s
y
s
te
m
w
a
s
ex
p
an
d
ed
b
y
ad
d
in
g
h
y
d
r
o
p
o
w
er
p
lan
ts
a
n
d
th
e
o
p
ti
m
a
l
g
e
n
er
atio
n
o
f
t
h
e
w
i
n
d
-
h
y
d
r
o
-
th
er
m
al
s
y
s
te
m
wer
e
s
o
lv
ed
b
y
u
s
i
n
g
n
o
n
d
o
m
i
n
ated
s
o
r
tin
g
g
e
n
etic
alg
o
r
ith
m
-
I
I
I
(
NSG
A
-
I
I
I
)
[
2
3
]
,
m
u
lti
-
o
b
j
ec
tiv
e
b
ee
co
lo
n
y
o
p
ti
m
i
za
tio
n
a
lg
o
r
it
h
m
(
MO
B
C
O
A
)
[
2
4
]
,
t
w
o
-
s
ta
g
e
s
to
c
h
ast
ic
m
et
h
o
d
(
T
SS
M
)
[
2
5
]
an
d
s
in
e
-
co
s
i
n
e
alg
o
r
ith
m
(
SC
A
)
[
2
6
]
.
I
n
[
2
3
]
,
m
u
lti
o
b
j
ec
tiv
e
f
u
n
ctio
n
s
i
n
cl
u
d
in
g
f
u
el
co
s
t
an
d
p
o
w
er
lo
s
s
ar
e
co
n
s
id
er
ed
in
w
h
ic
h
p
o
w
er
g
en
er
atio
n
o
f
w
i
n
d
f
ar
m
s
i
s
co
n
s
id
er
ed
as
a
co
n
tr
o
l
v
ar
iab
le
o
f
t
h
e
co
m
b
i
n
ed
s
y
s
te
m
.
I
n
[
2
4
]
,
u
n
ce
r
tain
t
y
o
f
w
in
d
s
p
ee
d
w
as
co
n
s
id
er
ed
b
y
co
n
s
id
er
in
g
W
eib
u
ll
d
is
tr
i
b
u
tio
n
f
u
n
ctio
n
.
I
n
t
h
e
s
t
u
d
y
,
w
i
n
d
tu
r
b
in
e
s
ar
e
ca
lcu
lated
th
r
ee
co
s
t,
d
ir
ec
tio
n
co
s
t,
r
eser
v
e
co
s
t
an
d
p
en
alty
co
s
t.
I
n
[
2
5
-
2
6
]
,
ca
s
ca
d
ed
h
y
d
r
o
p
o
w
er
p
lan
ts
ar
e
co
n
s
i
d
er
ed
to
g
eth
er
w
it
h
th
e
p
o
w
er
g
en
er
atio
n
o
f
t
h
er
m
a
l
p
o
w
er
p
lan
ts
a
n
d
w
i
n
d
tu
r
b
in
es.
Si
m
ilar
to
[
2
4
]
,
th
e
t
w
o
s
t
u
d
ies
also
co
n
s
id
er
ed
th
e
W
eib
u
ll
f
u
n
ct
io
n
an
d
t
h
r
ee
co
s
ts
o
f
w
i
n
d
tu
r
b
in
es.
I
n
g
en
er
al,
al
m
o
s
t
all
s
t
u
d
ies
ap
p
lied
m
eta
h
eu
r
i
s
tics
a
n
d
m
ain
l
y
f
o
cu
s
ed
o
n
th
e
h
i
g
h
l
y
s
u
cc
e
s
s
f
u
l
co
n
s
tr
ain
t
h
a
n
d
lin
g
ab
ilit
y
o
f
r
ath
er
th
a
n
r
ea
ch
in
g
th
e
b
est
s
o
l
u
tio
n
s
f
o
r
th
e
p
r
o
b
le
m
.
I
n
ad
d
itio
n
,
p
o
w
er
lo
s
s
o
f
th
e
s
y
s
te
m
d
u
e
to
th
e
i
m
p
ac
t
o
f
r
esis
ta
n
ce
an
d
r
ea
ctan
ce
o
f
co
n
d
u
cto
r
s
w
a
s
n
o
t
co
n
s
id
er
ed
in
t
h
ese
s
tu
d
ie
s
.
T
h
is
is
a
ls
o
u
n
d
er
s
to
o
d
b
ec
au
s
e
t
h
ese
s
t
u
d
ies
w
er
e
f
i
r
s
t a
p
p
licatio
n
o
f
m
et
h
o
d
s
f
o
r
s
o
lv
in
g
t
h
e
n
e
w
p
r
o
b
lem
.
I
n
th
i
s
p
ap
er
,
s
h
o
r
t
-
ter
m
HT
SS
p
r
o
b
lem
w
it
h
f
i
x
ed
-
h
ea
d
m
o
d
el
is
ex
p
an
d
ed
b
y
ad
d
in
g
w
i
n
d
tu
r
b
in
es
an
d
co
n
s
id
er
in
g
o
p
er
atio
n
r
a
n
g
e
o
f
t
h
e
m
.
O
n
t
h
e
co
n
tr
ar
y
to
o
th
er
s
t
u
d
ies,
all
co
n
s
tr
ain
ts
o
f
h
y
d
r
o
p
o
w
er
p
lan
ts
ar
e
tak
en
i
n
to
ac
co
u
n
t
i
n
clu
d
i
n
g
d
is
ch
ar
g
e
li
m
it,
av
a
i
lab
le
w
ater
an
d
g
en
er
ato
r
li
m
i
ts
.
T
h
er
m
al
p
o
w
er
p
lan
ts
ar
e
n
o
t
co
n
s
tr
ai
n
ed
b
y
av
ailab
le
f
o
s
s
il
f
u
el
q
u
a
n
tit
y
b
u
t
g
en
er
ato
r
s
.
W
in
d
t
u
r
b
in
es
ar
e
co
n
s
tr
ain
ed
b
y
ca
p
ac
it
y
an
d
o
p
er
atio
n
win
d
s
p
e
ed
s
.
T
h
e
m
ai
n
p
u
r
p
o
s
e
is
to
ca
lc
u
late
co
s
t
o
f
t
h
e
r
m
al
p
o
w
er
p
lan
t
s
an
d
d
eter
m
i
n
e
t
h
e
m
o
s
t
o
p
tim
al
g
e
n
er
atio
n
f
o
r
r
ed
u
ci
n
g
th
is
co
s
t.
Fo
r
r
ea
c
h
in
g
t
h
e
o
p
ti
m
al
s
o
lu
tio
n
s
o
f
th
e
p
r
o
b
lem
,
w
e
ap
p
l
y
P
SO (
P
SO)
[
2
7
]
,
C
FIWP
SO [
2
8
]
,
SS
D
[
2
9
]
an
d
C
SA
[
3
0
]
.
I
n
s
u
m
m
ar
y
,
t
h
e
co
n
tr
ib
u
tio
n
s
o
f
th
e
p
ap
er
ar
e
f
o
llo
w
s
:
-
Dev
elo
p
w
in
d
-
h
y
d
r
o
th
er
m
a
l s
y
s
te
m
s
c
h
ed
u
l
in
g
p
r
o
b
le
m
w
it
h
s
h
o
r
t
-
ter
m
m
o
d
el
-
P
r
o
p
o
s
e
th
e
b
est d
ec
is
io
n
v
ar
i
ab
le
s
elec
tio
n
m
e
th
o
d
-
I
n
v
e
s
tig
a
te
p
er
f
o
r
m
a
n
ce
o
f
P
SO,
FC
I
W
-
P
SO
,
SS
D
a
n
d
C
S
A
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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s
h
o
w
s
a
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s
te
m
w
it
h
o
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e
t
h
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m
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p
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t,
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t
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m
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ca
ted
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T
h
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tiv
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co
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ai
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a
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Fig
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e
1
.
A
t
y
p
ica
l
w
in
d
-
h
y
d
r
o
-
th
er
m
al
s
y
s
te
m
2
.
1
.
O
bje
ct
iv
e
f
un
ct
io
n
T
o
tal
f
u
el
co
s
t
(
T
FC
)
f
o
r
g
e
n
er
atin
g
elec
tr
icit
y
f
r
o
m
all
th
er
m
a
l
p
o
w
er
p
lan
t
s
i
s
co
n
s
id
er
ed
as
a
m
aj
o
r
p
a
r
t th
at
n
ee
d
s
to
b
e
m
i
n
i
m
ized
as
m
u
c
h
as p
o
s
s
ib
l
e.
T
h
e
o
b
j
ec
tiv
e
is
s
h
o
w
n
a
s
f
o
llo
w
s
:
=
∑
∑
(
+
,
+
(
,
)
2
)
=
1
=
1
(
1
)
I
n
(
1
)
,
w
e
o
n
l
y
f
o
c
u
s
o
n
t
h
e
r
ed
u
ctio
n
o
f
f
u
e
l
co
s
t
f
r
o
m
t
h
er
m
al
p
o
w
er
p
lan
t
s
m
e
an
w
h
ile
t
h
e
elec
tr
ic
g
en
er
atio
n
co
s
t
f
r
o
m
h
y
d
r
o
p
o
w
er
p
la
n
ts
an
d
w
i
n
d
p
o
w
er
p
lan
ts
is
n
e
g
lecte
d
.
T
h
e
as
s
u
m
p
tio
n
o
f
n
e
g
lecti
n
g
th
e
elec
tr
ic
co
s
t
f
r
o
m
h
y
d
r
o
elec
tr
ic
p
lan
t
is
tak
en
f
r
o
m
th
e
id
ea
th
at
w
ater
is
a
n
at
u
r
e
s
o
u
r
ce
w
it
h
v
er
y
lo
w
p
r
ice
w
h
er
ea
s
all
p
o
w
er
e
n
er
g
y
f
r
o
m
w
i
n
d
p
o
w
er
p
lan
t
s
is
a
b
s
o
lu
tel
y
u
s
ed
w
it
h
t
h
e
s
a
m
e
p
r
ice
an
d
th
e
s
a
m
e
co
s
t o
v
er
o
n
e
s
ch
ed
u
led
d
a
y
.
2
.
2
.
T
he
s
et
o
f
co
ns
t
ra
ints
a.
C
o
n
s
tr
ain
t
s
f
r
o
m
p
o
w
er
s
y
s
te
m
I
n
p
o
w
e
r
s
y
s
te
m
s
,
th
e
b
alan
c
e
b
et
w
ee
n
th
e
g
e
n
er
ated
a
n
d
co
n
s
u
m
ed
p
o
w
er
m
u
s
t
b
e
g
u
a
r
an
teed
as
th
e
f
o
llo
w
i
n
g
m
o
d
el:
∑
,
=
1
∑
,
+
∑
,
=
1
−
,
−
,
=
0
ℎ
=
1
(
2
)
b.
C
o
n
s
tr
ain
t
f
r
o
m
t
h
er
m
al
p
la
n
t
s
P
o
w
er
g
e
n
er
atio
n
o
f
th
er
m
al
p
o
w
er
p
lan
t
s
is
li
m
ited
as
f
o
llo
w
s
:
,
≤
,
≤
,
(
3
)
c.
C
o
n
s
tr
ain
t
f
r
o
m
w
i
n
d
tu
r
b
in
e
s
B
asicall
y
,
p
o
w
er
g
e
n
er
atio
n
o
f
a
w
i
n
d
tu
r
b
in
e
is
m
u
c
h
d
ep
en
d
en
t
o
n
w
in
d
s
p
ee
d
.
T
h
e
r
an
g
e
o
f
g
en
er
atio
n
ca
n
b
e
s
ee
n
b
y
th
e
f
o
llo
w
in
g
eq
u
at
io
n
[
2
5
]
:
=
{
0
,
(
<
−
>
−
)
,
×
(
−
−
)
(
−
−
)
,
(
−
≤
≤
)
,
(
≤
≤
−
)
(
4
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
5
,
Octo
b
e
r
2
0
2
0
:
5
1
2
3
-
5130
5126
So
,
w
i
n
d
tu
r
b
in
e
s
ar
e
also
co
n
s
tr
ain
ed
b
y
p
o
w
er
g
en
er
atio
n
as f
o
llo
w
s
:
,
≤
,
≤
,
(
5
)
d.
C
o
n
s
tr
ain
t
s
f
r
o
m
h
y
d
r
o
p
o
w
er
p
lan
ts
:
Limit
s
o
f
w
a
ter
Di
s
ch
a
r
g
e:
W
ater
th
at
is
d
is
c
h
ar
g
ed
t
h
r
o
u
g
h
a
t
u
r
b
in
e
m
u
s
t
b
e
i
n
a
p
r
ed
eter
m
in
e
d
r
an
g
e
as
f
o
llo
w
s
:
,
≤
,
≤
,
(
6
)
w
h
er
e
Q
k,
j
is
d
eter
m
i
n
ed
as f
o
l
lo
w
s
:
,
=
+
,
+
(
,
)
2
(
7
)
I
n
ad
d
itio
n
,
th
e
to
tal
w
ater
d
is
ch
ar
g
e
o
v
er
N
in
in
ter
v
als
m
u
s
t
b
e
eq
u
al
to
av
ailab
le
as th
e
co
n
s
tr
ai
n
t b
elo
w
:
∑
,
=
1
=
,
(
8
)
e.
C
o
n
s
tr
ain
t
o
f g
en
era
to
r
s
:
H
y
d
r
o
g
en
er
atio
n
is
co
n
s
tr
ai
n
ed
b
y
.
,
≤
,
≤
,
(
9
)
3.
CUCK
O
O
SE
ARCH
A
L
G
O
RIT
H
M
3
.
1
.
New
s
o
lutio
n g
ener
a
t
io
n m
e
cha
nis
m
On
t
h
e
co
n
tr
ar
y
to
P
SO
an
d
SS
D,
C
S
A
p
er
f
o
r
m
s
t
w
o
m
ec
h
a
n
i
s
m
s
to
p
r
o
d
u
ce
n
e
w
s
o
lu
tio
n
s
.
Fo
r
ea
ch
m
ec
h
a
n
is
m
,
t
h
e
w
h
o
le
p
o
p
u
latio
n
is
n
e
w
l
y
u
p
d
ated
.
So
,
to
tal
n
e
w
s
o
l
u
tio
n
s
g
e
n
er
ated
b
y
C
S
A
i
s
t
w
o
ti
m
es
t
h
at
o
f
P
SO
an
d
SS
D.
L
é
v
y
f
li
g
h
t
s
is
ap
p
lied
in
th
e
f
ir
s
t
m
ec
h
a
n
i
s
m
w
h
ile
m
u
tatio
n
o
p
er
atio
n
is
e
m
p
lo
y
ed
in
t
h
e
s
ec
o
n
d
o
n
e.
T
h
e
t
w
o
m
ec
h
an
is
m
s
ar
e
m
ath
e
m
atica
ll
y
f
o
r
m
u
lated
as f
o
llo
w
s
:
0
n
e
w
x
x
x
B
e
s
t
S
o
l
S
o
l
S
o
l
S
o
l
L
(
1
0
)
1
1
2
2
x
n
e
w
x
x
S
o
l
r
d
S
o
l
S
o
l
if
r
d
P
r
o
Sol
S
o
l
o
th
e
r
w
is
e
(
1
1
)
w
h
er
e
α
0
is
a
p
o
s
itiv
e
s
ca
li
n
g
f
ac
to
r
;
L
(
β
)
is
L
v
y
d
i
s
tr
ib
u
tio
n
f
u
n
ctio
n
[
1
0
]
;
an
d
Sol
Best
is
th
e
s
o
-
f
ar
b
est
s
o
lu
tio
n
a
m
o
n
g
th
e
cu
r
r
e
n
t
p
o
p
u
latio
n
;
rd
1
a
n
d
rd
2
ar
e
r
a
n
d
o
m
n
u
m
b
er
s
in
t
h
e
r
a
n
g
e
b
etw
ee
n
0
a
n
d
1
;
P
r
o
i
s
o
ld
s
o
lu
tio
n
r
ep
lace
m
en
t
p
r
o
b
ab
ilit
y
,
w
h
ich
is
s
elec
ted
with
i
n
0
an
d
1
.
Sol
1
an
d
Sol
2
ar
e
t
w
o
r
a
n
d
o
m
l
y
s
elec
ted
s
o
lu
tio
n
s
.
3
.
2
.
P
ro
m
i
s
ing
s
o
lutio
n se
lect
io
n m
ec
ha
nis
m
T
h
is
m
ec
h
an
i
s
m
is
ap
p
lied
to
p
er
f
o
r
m
a
n
ce
co
m
p
ar
is
o
n
o
f
q
u
alit
y
b
et
w
ee
n
t
h
e
n
e
w
xth
s
o
lu
tio
n
a
n
d
th
e
o
ld
x
t
h
s
o
lu
tio
n
to
r
etai
n
a
b
etter
s
o
l
u
tio
n
a
n
d
ab
an
d
o
n
a
w
o
r
s
e
o
n
e.
So
,
f
itn
e
s
s
f
u
n
ctio
n
m
u
s
t
b
e
ca
lcu
lated
f
o
r
ea
ch
o
ld
an
d
n
e
w
s
o
l
u
tio
n
.
T
h
en
,
th
e
f
o
llo
w
in
g
m
o
d
el
is
ap
p
lied
.
n
e
w
x
x
x
x
n
e
w
x
So
l
if
F
it
F
it
Sol
So
l
O
the
r
wis
e
(
1
2
)
4.
RE
SU
L
T
S NU
M
E
RICA
L
R
E
SU
L
T
S
I
n
th
is
s
ec
t
io
n
,
th
e
ef
f
ec
ti
v
e
n
es
s
o
f
C
S
A
is
co
m
p
ar
ed
to
th
at
o
f
P
SO,
C
FIW
-
P
SO
an
d
SS
D
o
n
th
e
s
y
s
te
m
w
i
th
o
n
e
th
er
m
al
p
o
w
er
p
lan
t,
o
n
e
h
y
d
r
o
p
o
w
er
p
lan
t
an
d
o
n
e
w
i
n
d
p
o
w
er
p
lan
t.
T
h
e
s
y
s
te
m
i
s
s
ch
ed
u
led
o
v
er
t
w
e
n
t
y
-
f
o
u
r
o
n
e
-
h
o
u
r
i
n
ter
v
al
s
.
T
h
e
h
y
d
r
o
th
er
m
al
s
y
s
te
m
s
an
d
lo
s
s
co
ef
f
icien
ts
ar
e
tak
e
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Op
tima
l p
o
w
er g
en
era
tio
n
fo
r
w
in
d
-
h
yd
r
o
-
th
erma
l sys
tem
u
s
in
g
…
(
Th
u
a
n
Th
a
n
h
N
g
u
ye
n
)
5127
f
r
o
m
T
ab
le
A
1
i
n
p
ag
e
2
8
4
[
1
0
]
w
h
i
le
t
h
e
w
i
n
d
f
ar
m
d
ata
is
tak
e
n
f
r
o
m
w
i
n
d
f
ar
m
1
i
n
T
ab
le
6
in
p
a
g
e
7
6
0
[
3
1
]
.
T
h
e
w
h
o
le
d
ata
an
d
lo
s
s
co
ef
f
icie
n
ts
ar
e
s
h
o
w
n
i
n
T
ab
le
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T
ab
le
A
2
an
d
T
ab
l
e
A
3
in
A
p
p
en
d
i
x
.
T
h
e
f
o
u
r
m
et
h
o
d
s
ar
e
co
d
ed
o
n
Ma
tlab
p
r
o
g
r
a
m
la
n
g
u
ag
e
a
n
d
a
co
m
p
u
ter
w
i
th
C
P
U
o
f
I
n
tel
C
o
r
e
i7
-
2
.
4
G
Hz
-
R
AM
4
GB
f
o
r
o
b
t
ain
i
n
g
5
0
s
u
cc
e
s
s
f
u
l r
u
n
s
.
I
n
o
r
d
er
to
r
u
n
th
e
s
e
m
e
th
o
d
s
,
p
o
p
u
latio
n
s
ize
(
PS
)
an
d
th
e
m
ax
i
m
u
m
iter
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(
MI
)
ar
e
s
et
to
2
0
an
d
2
0
0
0
f
o
r
C
S
A
,
4
0
an
d
2
0
0
0
f
o
r
P
SO,
C
FIW
-
P
SO
an
d
SS
D.
T
h
e
r
esu
lts
f
r
o
m
5
0
s
u
cc
e
s
s
f
u
l
r
u
n
s
ar
e
s
u
m
m
ar
ized
in
T
a
b
le
1
in
ad
d
itio
n
to
s
av
i
n
g
co
s
t
an
d
i
m
p
r
o
v
e
m
e
n
t
s
h
o
w
n
i
n
Fi
g
u
r
es
2
an
d
3
.
I
n
th
e
t
w
o
f
i
g
u
r
es,
s
av
in
g
co
s
t
a
n
d
th
e
c
o
r
r
esp
o
n
d
in
g
i
m
p
r
o
v
e
m
e
n
t
le
v
el
o
f
C
S
A
a
s
co
m
p
ar
ed
to
P
SO,
C
FIW
-
P
SO
a
n
d
SS
D
ar
e
s
h
o
w
n
.
So
,
t
h
er
e
is
n
o
b
ar
to
s
h
o
w
th
e
r
es
u
lt
o
f
C
S
A
in
t
h
e
t
w
o
f
ig
u
r
es.
Fro
m
t
h
e
f
i
g
u
r
es,
i
t
ca
n
in
d
icate
t
h
at
a
s
co
m
p
ar
ed
to
o
th
er
m
eth
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r
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96
RE
F
E
R
E
NC
E
S
[1
]
A
.
J.
W
o
o
d
,
B.
F
.
W
o
ll
e
n
b
e
rg
,
G
.
B.
S
h
e
b
l,
“
P
o
w
e
r
g
e
n
e
ra
ti
o
n
,
o
p
e
ra
ti
o
n
,
a
n
d
c
o
n
tr
o
l,
”
J
o
h
n
W
il
e
y
&
S
o
n
s
,
2
0
1
3
.
[2
]
I.
A
.
F
a
rh
a
t,
M
.
E.
El
-
Ha
w
a
r
y
,
“
F
ix
e
d
-
h
e
a
d
h
y
d
ro
-
t
h
e
rm
a
l
sc
h
e
d
u
l
in
g
u
si
n
g
a
m
o
d
if
ied
b
a
c
teria
l
f
o
ra
g
in
g
a
lg
o
rit
h
m
,
”
In
2
0
1
0
IEE
E
El
e
c
trica
l
Po
we
r &
En
e
rg
y
Co
n
fer
e
n
c
e
IEE
E
,
p
p
.
1
-
6
,
A
u
g
.
2
0
1
0
.
[3
]
J.
S
a
sik
a
la
,
a
n
d
M
.
Ra
m
a
s
wa
m
y
,
“
Op
ti
m
a
l
g
a
m
m
a
b
a
se
d
f
ix
e
d
h
e
a
d
h
y
d
ro
th
e
rm
a
l
sc
h
e
d
u
li
n
g
u
sin
g
g
e
n
e
ti
c
a
lg
o
rit
h
m
,
”
Exp
e
rt S
y
ste
ms
wit
h
Ap
p
li
c
a
ti
o
n
s,
v
o
l
.
3
7
,
n
o
.
4
,
p
p
.
3
3
5
2
-
3
3
5
7
,
2
0
1
0
.
[4
]
M
.
Y.
Ch
a
n
g
a
n
d
W
.
J.
A
.
Hu
a
n
g
,
“
A
P
ra
c
ti
c
a
l
Ca
se
Re
p
o
rt
o
n
th
e
No
d
e
P
o
i
n
t
o
f
a
Bu
tt
e
rf
l
y
M
o
d
e
l
Circ
u
lar
Eco
n
o
m
y
:
S
y
n
th
e
sis
o
f
a
Ne
w
H
y
b
rid
M
in
e
ra
l
–
Hy
d
ro
th
e
rm
a
l
F
e
rti
li
z
e
r
f
o
r
Rice
Cro
p
p
in
g
,
”
S
u
st
a
in
a
b
il
i
ty,
v
o
l.
1
2
,
n
o
.
3
,
p
p
.
1
-
8
,
2
0
2
0
.
[5
]
N.
Ha
m
z
a
h
,
K.
T
o
k
i
m
a
tsu
,
a
n
d
K.
Yo
sh
ik
a
w
a
,
“
S
o
li
d
f
u
e
l
f
ro
m
o
il
p
a
lm
b
io
m
a
ss
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sid
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d
m
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icip
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l
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w
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ste
b
y
h
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d
ro
th
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l
trea
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f
o
r
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le
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tri
c
a
l
p
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r
g
e
n
e
ra
ti
o
n
in
M
a
la
y
sia
:
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re
v
ie
w
,
”
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u
sta
in
a
b
il
i
ty
,
v
o
l
.
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,
n
o
.
4
,
p
p
.
1
-
23
,
2
0
1
9
.
[6
]
S
.
G
h
o
sh
,
M
.
Ka
u
r,
S
.
Bh
u
ll
a
r,
a
n
d
V
.
Ka
ra
r,
“
Hy
b
rid
a
b
c
-
b
a
t
fo
r
so
lv
in
g
sh
o
rt
-
term
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y
d
ro
th
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r
m
a
l
sc
h
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d
u
li
n
g
p
ro
b
lem
s,”
En
e
rg
ies
,
v
o
l
.
12
,
n
o
.
3
,
p
p
.
1
-
15
,
2
0
1
9
.
[7
]
T
.
T
.
N
g
u
y
e
n
,
N.
V
u
Qu
y
n
h
,
M
.
Q.
Du
o
n
g
,
L
.
V
a
n
Da
i,
“
M
o
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if
ied
d
if
f
e
r
e
n
ti
a
l
e
v
o
lu
ti
o
n
a
lg
o
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h
m
:
A
n
o
v
e
l
a
p
p
ro
a
c
h
t
o
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p
ti
m
ize
th
e
o
p
e
ra
ti
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n
o
f
h
y
d
ro
th
e
rm
a
l
p
o
w
e
r
s
y
ste
m
s
w
h
il
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c
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n
sid
e
rin
g
th
e
d
if
fe
re
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t
c
o
n
stra
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n
ts
a
n
d
v
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lv
e
p
o
in
t
l
o
a
d
in
g
e
f
f
e
c
ts,”
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e
rg
ies
,
v
o
l
.
11
,
n
o
.
3
,
p
p
.
1
-
30
,
2
0
1
8
.
[8
]
S
.
K.
Da
m
o
d
a
ra
n
,
T
.
K.
S
u
n
i
l
Ku
m
a
r,
“
H
y
d
ro
-
th
e
rm
a
l
-
w
in
d
g
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ra
ti
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n
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m
ic
a
n
d
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v
iro
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m
e
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tal
f
a
c
to
rs u
sin
g
h
e
u
ri
stic a
lg
o
rit
h
m
s,”
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e
rg
ies
,
v
o
l
1
1
,
n
o
.
2
,
p
p
.
1
-
19
,
2
0
1
8
.
[9
]
T
.
T
.
N
g
u
y
e
n
,
B.
H.
Din
h
,
N.
V
.
Qu
y
n
h
,
M
.
Q.
Du
o
n
g
,
M
.
Q,
L
.
V
.
Da
i,
“
A
n
o
v
e
l
a
lg
o
rit
h
m
f
o
r
o
p
ti
m
a
l
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p
e
ra
ti
o
n
o
f
h
y
d
ro
th
e
rm
a
l
p
o
w
e
r
s
y
ste
m
s
u
n
d
e
r
c
o
n
si
d
e
rin
g
t
h
e
c
o
n
stra
in
t
s
in
tran
sm
issio
n
n
e
tw
o
rk
s,”
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e
rg
ies
,
v
o
l
.
11
,
n
o
.
1
,
p
p
.
1
-
21
,
2
0
1
8
.
[1
0
]
T
.
T
.
Ng
u
y
e
n
,
D.
N.
V
o
,
a
n
d
A
.
V
.
T
ru
o
n
g
,
“
Cu
c
k
o
o
se
a
rc
h
a
lg
o
rit
h
m
f
o
r
sh
o
rt
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term
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ro
th
e
rm
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l
sc
h
e
d
u
li
n
g
,
”
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p
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e
d
E
n
e
rg
y
,
v
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l.
1
3
2
,
n
o
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1
,
p
p
.
2
7
6
-
2
8
7
,
2
0
1
4
.
[1
1
]
R.
F
u
e
n
tes
-
L
o
y
o
la,
V
.
H.
Qu
i
n
t
a
n
a
,
“
M
e
d
iu
m
-
term
h
y
d
ro
th
e
rm
a
l
c
o
o
rd
in
a
ti
o
n
b
y
se
m
id
e
f
in
it
e
p
ro
g
ra
m
m
in
g
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r S
y
st
e
ms
,
v
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l
.
18
,
n
o
.
4
,
p
p
.
1
5
1
5
-
1
5
2
2
,
2
0
1
3
.
[1
2
]
V
.
H.
F
e
rre
ira,
a
n
d
G
.
H.
C.
S
il
v
a
,
“
N
a
tu
ra
l
o
p
ti
m
iza
ti
o
n
a
p
p
li
e
d
to
m
e
d
iu
m
-
ter
m
h
y
d
ro
th
e
rm
a
l
c
o
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rd
in
a
ti
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In
2
0
1
1
1
6
t
h
In
ter
n
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ti
o
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l
C
o
n
fe
re
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c
e
o
n
In
telli
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t
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s to
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ms
,
p
p
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1
-
6
,
S
e
p
.
2
0
1
1
.
[1
3
]
K.
I.
Ou
ra
n
i,
C.
G
.
Ba
slis,
a
n
d
A
.
G
.
Ba
k
irt
z
is,
“
A
S
to
c
h
a
stic
Du
a
l
D
y
n
a
m
ic
P
ro
g
ra
m
m
in
g
m
o
d
e
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f
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m
e
d
iu
m
-
ter
m
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y
d
ro
th
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rm
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l
sc
h
e
d
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li
n
g
in
G
re
e
c
e
,
”
In
2
0
1
2
4
7
th
I
n
ter
n
a
ti
o
n
a
l
Un
ive
rs
it
ies
Po
we
r
En
g
in
e
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n
g
C
o
n
fer
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e
(
UPEC)
,
p
p
.
1
-
6
,
S
e
p
.
2
0
1
2
.
[1
4
]
F
.
Be
lt
rá
n
,
W
.
d
e
Oliv
e
ira,
E.
C.
F
in
a
rd
i
,
“
A
p
p
li
c
a
ti
o
n
o
f
sc
e
n
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rio
tree
re
d
u
c
ti
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n
v
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q
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a
d
ra
ti
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p
ro
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e
ss
to
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e
d
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m
-
term
h
y
d
ro
th
e
rm
a
l
s
c
h
e
d
u
li
n
g
p
ro
b
lem
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r S
y
ste
ms
,
p
p
.
1
-
10
,
2
0
1
7
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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Octo
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5130
5130
[1
5
]
M
.
I.
E
n
n
e
s,
A
.
L
.
Din
iz,
“
A
n
e
ff
i
c
ien
t
e
q
u
iv
a
len
t
t
h
e
rm
a
l
c
o
st
f
u
n
c
ti
o
n
m
o
d
e
l
f
o
r
n
o
n
l
in
e
a
r
m
id
-
term
h
y
d
ro
th
e
rm
a
l
g
e
n
e
ra
ti
o
n
p
la
n
n
i
n
g
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
P
o
we
r
&
En
e
rg
y
S
y
ste
ms
,
v
o
l
.
63
,
p
p
.
7
0
5
-
7
1
2
,
2
0
1
4
.
[1
6
]
R.
W
.
F
e
rre
ro
,
J.
F
.
Riv
e
ra
,
a
n
d
S
.
M
.
S
h
a
h
i
d
e
h
p
o
u
r
,
“
A
d
y
n
a
m
i
c
p
ro
g
ra
m
m
in
g
t
w
o
-
sta
g
e
a
lg
o
rit
h
m
f
o
r
lo
n
g
-
term
h
y
d
ro
th
e
rm
a
l
sc
h
e
d
u
li
n
g
o
f
m
u
lt
ires
e
rv
o
ir
s
y
ste
m
s,”
IEE
E
T
r
a
n
sa
c
ti
o
n
s
o
n
P
o
we
r
S
y
ste
ms
,
v
o
l
.
13
,
n
o
.
4
,
p
p
.
1
5
3
4
-
1
5
4
0
,
1
9
9
8
.
[1
7
]
L
.
M
a
rti
n
e
z
,
S
.
S
o
a
re
s,
“
Co
m
p
a
r
iso
n
b
e
tw
e
e
n
c
lo
se
d
-
lo
o
p
a
n
d
p
a
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l
o
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e
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l
o
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p
f
e
e
d
b
a
c
k
c
o
n
tro
l
p
o
li
c
ies
in
l
o
n
g
term
h
y
d
ro
th
e
rm
a
l
s
c
h
e
d
u
li
n
g
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r S
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st
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ms
,
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l
1
7
,
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o
.
2
,
p
p
.
3
3
0
-
3
3
6
,
2
0
0
2
.
[1
8
]
T
.
Ho
m
e
m
-
de
-
M
e
ll
o
,
V
.
L
.
De
M
a
to
s,
a
n
d
E.
C.
F
in
a
rd
i,
“
S
a
m
p
li
n
g
stra
te
g
ies
a
n
d
sto
p
p
i
n
g
c
rit
e
ria
f
o
r
sto
c
h
a
st
ic d
u
a
l
d
y
n
a
m
i
c
p
ro
g
ra
m
m
in
g
:
a
c
a
s
e
stu
d
y
in
lo
n
g
-
term
h
y
d
ro
th
e
rm
a
l
sc
h
e
d
u
li
n
g
,
”
En
e
rg
y
S
y
ste
ms
,
v
o
l
.
2
,
p
p
.
1
-
3
1
,
2
0
1
1
.
[1
9
]
G
.
Da
Cru
z
,
a
n
d
S
.
S
o
a
re
s,
“
No
n
-
u
n
if
o
rm
c
o
m
p
o
site
re
p
re
s
e
n
tatio
n
h
y
d
ro
e
lec
tri
c
s
y
ste
m
s
f
o
r
lo
n
g
-
ter
m
h
y
d
ro
th
e
rm
a
l
sc
h
e
d
u
li
n
g
,
”
IEE
E
T
r
a
n
sa
c
ti
o
n
s
o
n
Po
we
r
S
y
ste
ms
,
v
o
l
.
11
,
n
o
.
2
,
p
p
.
7
0
2
-
7
0
7
,
1
9
9
6
.
[2
0
]
M
.
Zam
b
e
ll
i,
T
.
G
.
S
iq
u
e
ira,
M
.
Cico
g
n
a
,
a
n
d
S
.
S
o
a
re
s,
“
De
term
in
isti
c
v
e
rsu
s
sto
c
h
a
stic
m
o
d
e
ls
f
o
r
lo
n
g
term
h
y
d
ro
th
e
rm
a
l
sc
h
e
d
u
li
n
g
,
”
In
2
0
0
6
IEE
E
Po
we
r E
n
g
i
n
e
e
rin
g
S
o
c
ie
ty Ge
n
e
ra
l
M
e
e
ti
n
g
,
p
p
.
7
,
Ju
n
.
2
0
0
6
.
[2
1
]
H.
T
.
Ja
d
h
a
v
,
a
n
d
R.
Ro
y
,
“
G
b
e
st
g
u
id
e
d
a
rti
f
icia
l
b
e
e
c
o
lo
n
y
a
lg
o
rit
h
m
f
o
r
e
n
v
iro
n
m
e
n
tal/ec
o
n
o
m
ic
d
isp
a
tch
c
o
n
sid
e
ri
n
g
w
in
d
p
o
w
e
r,
”
Exp
e
rt S
y
ste
ms
wit
h
Ap
p
li
c
a
ti
o
n
s
,
v
o
l
.
40
,
n
o
.
1
6
,
p
p
.
6
3
8
5
-
6
3
9
9
,
2
0
1
3
.
[2
2
]
X
.
L
iu
,
“
Eco
n
o
m
ic
lo
a
d
d
isp
a
t
c
h
c
o
n
stra
i
n
e
d
b
y
w
in
d
p
o
w
e
r
a
v
a
il
a
b
il
it
y
:
A
w
a
it
-
a
n
d
-
se
e
a
p
p
r
o
a
c
h
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
S
m
a
rt Grid
,
v
o
l
.
1
,
n
o
.
3
,
p
p
.
3
4
7
-
3
5
5
,
2
0
1
0
.
[2
3
]
X
.
Yu
a
n
,
H.
T
ian
,
Y.
Y
u
a
n
,
Y.
Hu
a
n
g
,
R.
M
.
Ik
ra
m
,
“
A
n
e
x
ten
d
e
d
NSGA
-
III
f
o
r
so
lu
ti
o
n
m
u
lt
i
-
o
b
jec
ti
v
e
h
y
d
ro
-
th
e
rm
a
l
-
w
in
d
sc
h
e
d
u
li
n
g
c
o
n
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.
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o
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sa
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[2
6
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K.
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.
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[2
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.
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[2
9
]
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a
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[3
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X
.
M
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.
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[3
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H.
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.
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term
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1
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.
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.
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