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1.
I
NT
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D
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I
O
N
R
ea
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p
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b
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m
eth
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s
[
1
-
6
]
.
Nev
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tech
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[
7
-
1
6
]
ar
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2.
P
RO
B
L
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M
F
O
R
M
U
L
AT
I
O
N
Ob
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:
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I
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2252
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8
7
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2
I
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Ap
p
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E
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,
Vo
l.
9
,
No
.
3
,
Dec
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b
e
r
2
0
2
0
:
245
–
249
246
Vo
l
ta
g
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d
e
v
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ti
o
n
g
i
v
e
n
as
f
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ll
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Vo
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ta
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ti
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v
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n
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:
C
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s
tr
ai
n
t
(
E
q
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ality
)
;
C
o
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s
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ain
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(
I
n
eq
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ality
)
;
3.
E
NH
ANC
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D
B
ACT
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R
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RAG
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w
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f
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ased
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th
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a
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lu
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p
ac
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[
1
7
]
.
‒
Qu
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r
o
m
o
s
o
m
e
wh
ich
s
y
m
b
o
lize
th
e
lin
ea
r
s
u
p
er
p
o
s
itio
n
with
t
h
e
s
im
ilar
p
o
s
s
ib
ilit
y
in
all
p
r
o
b
ab
le
s
tates.
F
=
P
L
=
∑
g
k
k
∈
Nbr
(
V
i
2
+
V
j
2
−
2
V
i
V
j
c
os
θ
ij
)
(
1
)
F
=
P
L
+
ω
v
×
Vol
ta
ge
De
via
tion
(
2
)
Vol
ta
ge
De
via
tion
=
∑
|
V
i
−
1
|
N
p
q
i
=
1
(
3
)
P
G
=
P
D
+
P
L
(
4
)
P
g
s
l
ac
k
m
i
n
≤
P
g
s
l
ack
≤
P
g
s
l
a
ck
m
ax
(
5
)
Q
gi
m
i
n
≤
Q
gi
≤
Q
gi
m
ax
,
i
∈
N
g
(
6
)
V
i
m
i
n
≤
V
i
≤
V
i
m
ax
,
i
∈
N
(
7
)
T
i
m
i
n
≤
T
i
≤
T
i
m
ax
,
i
∈
N
T
(
8
)
Q
c
m
i
n
≤
Q
c
≤
Q
C
m
ax
,
i
∈
N
C
(
9
)
|
φ
〉
=
α
|
0
〉
+
β
|
1
〉
(
1
0
)
|
|
2
+
|
|
2
=
1
(
1
1
)
(
)
=
(
−
)
(
1
2
)
=
(
1
1
|
2
2
…
.
.
)
(
1
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
Ap
p
l Po
wer
E
n
g
I
SS
N:
2252
-
8
7
9
2
Dimin
u
tio
n
o
f fa
ctu
a
l p
o
w
er lo
s
s
b
y
en
h
a
n
ce
d
b
a
cteria
l
fo
r
a
g
in
g
o
p
timiz
a
tio
n
…
(
K
a
n
a
g
a
s
a
b
a
i Len
in
)
247
w
h
er
e
S
k
is
th
e
n
u
m
b
er
o
f
k
s
tate
o
f
ch
r
o
m
o
s
o
m
e
&
it
s
y
m
b
o
lized
b
y
th
e
b
in
ar
y
s
tr
in
g
(
1
,
2
,
.
.
,
)
,
(
1
,
2
,
.
.
,
)
will
b
e
0
o
r
1
.
W
h
en
(
t
)
=
{
P
1
t
,
P
2
t
,
…
.
P
n
t
}
,
a
g
r
o
u
p
o
f
b
in
ar
y
p
o
p
u
la
tio
n
attain
ed
.
P
i
t
(
1
,
2
,
.
.
,
n
)
is
a
b
in
ar
y
s
tr
in
g
o
f
th
e
len
g
th
m
an
d
is
cr
ea
ted
b
y
p
o
s
s
ib
ilit
y
o
f
q
u
a
n
tu
m
,
with
p
ick
i
n
g
ev
e
r
y
b
it
u
s
in
g
|
α
i
t
|
2
or
|
β
i
t
|
2
of
q
j
t
.
P
i
t
(
1
,
2
,
.
.
,
n
)
is
ev
alu
ate
th
e
f
itn
ess
v
alu
e.
B
ac
ter
ial
f
o
r
ag
in
g
o
p
tim
izatio
n
is
b
ased
o
n
f
o
r
ag
i
n
g
b
e
h
av
io
u
r
o
f
E
s
ch
erich
ia
co
li
ba
cte
r
ia
wh
ich
p
r
esen
t
in
th
e
h
u
m
an
i
n
test
in
e.
B
ac
ter
ia
h
av
e
in
clin
atio
n
t
o
co
n
g
r
eg
ate
th
e
n
u
tr
ien
t
-
r
ic
h
ar
ea
s
b
y
an
ac
tio
n
ca
lled
as
c
h
em
o
tax
is
.
T
h
e
b
a
cter
ial
f
o
r
ag
in
g
p
r
o
ce
s
s
co
n
s
is
ts
o
f
f
o
u
r
c
h
r
o
n
o
lo
g
ical
m
eth
o
d
s
i.e
.
ch
em
o
tax
is
,
s
war
m
in
g
an
d
r
e
p
r
o
d
u
cti
o
n
an
d
elim
in
atio
n
-
d
is
p
er
s
al.
C
h
em
o
tax
is
:
-
I
n
t
h
e
c
o
m
p
u
tati
o
n
al
ch
e
m
o
ta
x
is
,
th
e
p
r
o
g
r
ess
io
n
o
f
i
th
b
ac
ter
iu
m
s
u
b
s
eq
u
en
t to
o
n
e
s
tep
ca
n
b
e
s
y
m
b
o
lized
as
:
Swar
m
in
g
:
-
C
ell
to
C
ell
in
d
icatio
n
in
E.
c
o
li
s
war
m
is
s
cien
ti
f
ically
s
y
m
b
o
lized
as
:
(
,
(
,
,
)
)
=
∑
(
,
(
,
,
)
)
=
1
=
∑
[
−
(
−
∑
(
−
=
1
=
1
)
2
)
]
+
∑
[
ℎ
(
−
∑
(
−
)
2
=
1
)
]
=
1
(
1
6
)
R
ep
r
o
d
u
ctio
n
:
s
u
b
s
eq
u
en
t
to
th
e
co
n
clu
s
io
n
o
f
all
N
c
ch
e
m
o
tactic
s
tag
e,
r
ep
r
o
d
u
ctio
n
ac
tio
n
will
b
eg
in
.
I
n
ascen
d
in
g
o
r
d
e
r
f
itn
ess
v
alu
e
o
f
th
e
b
ac
ter
ia
will
b
e
s
to
r
ed
.
E
lim
in
atio
n
an
d
d
is
p
er
s
al
:
it
is
n
ec
ess
ar
y
to
s
p
r
ea
d
th
e
b
ac
ter
ia
m
ay
b
e
s
tead
ily
o
r
ab
r
u
p
tly
h
en
ce
o
p
p
o
r
tu
n
ity
o
f
b
ein
g
e
n
s
n
ar
ed
in
to
lo
c
al
m
in
im
a
will
b
e
elim
in
ated
.
Dis
p
er
s
io
n
o
p
er
atio
n
ta
k
es
p
lace
af
ter
a
d
ef
i
n
ite
n
u
m
b
er
o
f
r
e
p
r
o
d
u
ctio
n
p
r
o
ce
d
u
r
es.
I
n
t
h
e
p
er
i
o
d
o
f
th
e
ch
em
o
tax
is
lo
o
p
to
p
p
le
d
ir
e
ctio
n
is
m
o
d
er
n
ized
b
y
:
T
h
e
cu
s
to
m
ized
o
p
er
ato
r
o
f
p
r
o
b
ab
ilit
y
am
p
litu
d
e
is
d
ef
in
ed
as:
E
n
h
an
ce
d
q
u
a
n
tu
m
r
o
tatio
n
an
g
le
is
d
o
n
e
b
y
:
Dir
ec
tio
n
o
f
th
e
r
o
tatio
n
a
n
g
le
is
co
n
tr
o
lled
b
y
M
1
an
d
M
2
an
d
s
ize
o
f
th
e
r
o
tatio
n
a
n
g
le
is
co
n
tr
o
lled
by
η
,
θ
0
.
Pre
s
en
t
f
itn
ess
v
a
lu
e
o
f
ch
em
o
tactic
s
tep
s
i
ze
v
ar
y
i
n
g
is
lik
ely
to
en
d
o
w
with
im
p
r
o
v
ed
co
n
v
er
g
en
ce
p
e
r
f
o
r
m
an
ce
.
A
d
ap
tio
n
s
ch
em
e
f
o
r
th
e
s
tep
s
iz
e
f
o
r
i
th
b
ac
ter
i
u
m
is
g
iv
en
b
y
:
W
h
er
e
is
p
o
s
itiv
e
co
n
s
tan
t.
=
C
os
t f
u
n
ctio
n
o
f
th
e
i
th
b
ac
te
r
iu
m
C
(
i)
= V
ar
iab
le
r
u
n
(
s
tep
)
len
g
t
h
o
f
i
th
b
ac
ter
iu
m
Step
a
:
I
n
itialize
th
e
p
ar
am
eter
s
Step
b
:
Pro
ce
d
u
r
e
o
f
e
lim
in
atio
n
an
d
d
is
p
er
s
al
lo
o
p
Step
c
:
B
eg
in
o
f
r
ep
r
o
d
u
ctio
n
lo
o
p
Step
d
:
B
eg
in
o
f
c
h
em
o
tax
is
lo
o
p
|
∅
〉
=
∑
1
√
2
|
〉
2
=
1
(
1
4
)
(
+
1
,
,
)
=
(
,
,
)
+
(
)
(
)
(
1
5
)
(
+
1
)
=
∗
(
)
+
1
∗
∗
(
−
)
+
2
∗
∗
(
−
)
(
1
7
)
[
∗
∗
]
=
{
(
√
,
√
1
−
)
,
|
∗
|
2
≤
(
√
1
−
,
√
)
,
|
∗
|
2
≥
(
∗
,
∗
)
(
1
8
)
1
=
(
(
−
0
.
5
)
)
(
1
9
)
2
=
(
−
)
(
2
0
)
=
1
2
0
(
−
ƞ
)
(
2
1
)
(
)
=
|
(
)
|
|
(
)
+
|
=
1
1
+
(
)
(
2
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8
7
9
2
I
n
t J
Ap
p
l Po
wer
E
n
g
,
Vo
l.
9
,
No
.
3
,
Dec
em
b
e
r
2
0
2
0
:
245
–
249
248
Step
e
: Wh
en
j
<
Nc,
th
en
g
o
to
Step
d
ch
em
o
tax
is
will b
e
co
n
tin
u
e
d
b
ec
au
s
e
b
ac
ter
ia
life
is
n
o
t o
v
er
.
Step
f
:
R
ep
r
o
d
u
ctio
n
p
r
o
ce
d
u
r
e
ap
p
l
ied
Step
g
:
W
h
en
k
<N
re
,
th
en
g
o
to
Step
c;
wh
en
s
p
ec
if
ic
n
u
m
b
er
o
f
r
ep
r
o
d
u
ctio
n
s
tep
s
ar
e
n
o
t
r
ea
ch
ed
,
th
en
co
m
m
en
ce
th
e
s
u
b
s
eq
u
en
t
g
en
er
atio
n
o
f
th
e
ch
em
o
tactic
lo
o
p
.
Step
h
:
E
lim
in
atio
n
-
d
is
p
er
s
al:
Fo
r
i
=
1
,
2
,
.
.
,
S
with
th
e
p
r
o
b
ab
ilit
y
p
ed
,
ea
ch
b
ac
ter
i
u
m
ar
e
elim
i
n
ated
an
d
d
is
p
er
s
e,
th
en
n
u
m
b
er
o
f
b
a
c
ter
ia
in
th
e
p
o
p
u
latio
n
will
b
e
co
n
s
tan
t.
Fo
r
ab
o
v
e
ac
t
io
n
,
wh
en
a
b
ac
ter
iu
m
is
er
ad
icate
d
,
m
e
r
ely
d
is
p
er
s
e
o
n
e
to
an
ar
b
itr
ar
y
lo
ca
tio
n
in
th
e
d
o
m
ain
.
W
h
en
l
<N
ed
th
en
g
o
to
Step
b
,
o
r
else e
n
d
;
Step
i
:
W
h
en
th
e
en
d
co
n
d
itio
n
o
f
t
h
e
p
r
o
jecte
d
al
g
o
r
ith
m
is
f
u
lf
illed
,
th
en
th
e
o
p
tim
al
f
itn
ess
v
alu
e
an
d
th
e
co
n
s
eq
u
e
n
t in
d
iv
id
u
al
p
o
s
i
tio
n
r
an
k
ar
e
th
e
o
u
tp
u
t,
o
r
els
e
r
etu
r
n
t
o
S
tep
c.
4.
SI
M
UL
A
T
I
O
N
R
E
S
UL
T
S
At
f
ir
s
t
in
s
tan
d
ar
d
I
E
E
E
1
4
b
u
s
s
y
s
tem
th
e
v
alid
ity
o
f
t
h
e
p
r
o
p
o
s
ed
E
B
FO
alg
o
r
ith
m
h
as
b
ee
n
test
ed
an
d
co
m
p
a
r
is
o
n
r
esu
lts
ar
e
p
r
esen
ted
in
T
ab
le
1
.
T
h
en
I
E
E
E
3
0
0
b
u
s
s
y
s
tem
[
1
8
]
is
u
s
ed
as
test
s
y
s
tem
to
v
alid
ate
th
e
p
er
f
o
r
m
an
ce
o
f
th
e
E
B
FO
a
l
g
o
r
it
h
m
.
T
a
b
l
e
2
s
h
o
w
s
t
h
e
c
o
m
p
a
r
is
o
n
o
f
r
e
a
l
p
o
w
e
r
l
o
s
s
o
b
t
a
i
n
ed
a
f
t
e
r
o
p
t
i
m
i
z
at
i
o
n
.
T
ab
le
1
.
C
o
m
p
a
r
is
o
n
o
f
r
esu
lts
C
o
n
t
r
o
l
v
a
r
i
a
b
l
e
s
A
B
C
O
[
1
9
]
I
A
B
C
O
[
1
9
]
EB
F
O
V1
1
.
0
6
1
.
0
5
1
.
0
3
V2
1
.
0
3
1
.
0
5
1
.
0
0
V3
0
.
9
8
1
.
0
3
1
.
0
0
V6
1
.
0
5
1
.
0
5
1
.
0
0
V8
1
.
0
0
1
.
0
4
0
.
9
0
Q9
0
.
1
3
9
0
.
1
3
2
0
.
1
0
0
T5
6
0
.
9
7
9
0
.
9
6
0
0
.
9
0
0
T4
7
0
.
9
5
0
0
.
9
5
0
0
.
9
0
0
T4
9
1
.
0
1
4
1
.
0
0
7
1
.
0
0
0
P
l
o
ss
(
M
W
)
5
.
9
2
8
9
2
5
.
5
0
0
3
1
4
.
1
6
4
8
T
ab
le
2
.
C
o
m
p
a
r
is
o
n
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CO
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p
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th
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wer
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s
s
ex
ten
s
iv
ely
.
RE
F
E
R
E
NC
E
S
[1
]
K.
Y.
Lee
,
Y.
M
.
P
a
r
k
,
a
n
d
J.
L.
Ortiz,
"
F
u
e
l
-
c
o
st
m
in
imis
a
ti
o
n
fo
r
b
o
t
h
re
a
l
-
a
n
d
re
a
c
ti
v
e
-
p
o
we
r
d
is
p
a
tch
e
s,"
in
IE
E
Pro
c
e
e
d
in
g
s C
-
Ge
n
e
ra
ti
o
n
,
T
r
a
n
s
miss
io
n
a
n
d
Distrib
u
ti
o
n
,
v
o
l.
1
3
1
,
n
o
.
3
,
p
p
.
8
5
-
9
3
,
M
a
y
1
9
8
4
.
[2
]
N.
I.
De
e
b
a
n
d
S
.
M
.
S
h
a
h
id
e
h
p
o
u
r
,
"
An
e
fficie
n
t
tec
h
n
i
q
u
e
fo
r
re
a
c
ti
v
e
p
o
we
r
d
isp
a
tch
u
sin
g
a
re
v
ise
d
li
n
e
a
r
p
ro
g
ra
m
m
in
g
a
p
p
ro
ach
,
”
E
lec
tric P
o
we
r S
y
ste
m R
e
se
a
rc
h
,
v
o
l.
1
5
,
n
o
.
2
,
p
p
.
1
2
1
-
1
3
4
,
Oc
t
o
b
e
r
1
9
8
8
.
[3
]
M.
Bjelo
g
rli
c
,
M
.
S
.
Ca
lo
v
ic,
P
.
Ristan
o
v
ic
,
a
n
d
B.
S
.
Ba
b
ic,
"
Ap
p
li
c
a
ti
o
n
o
f
Ne
wto
n
'
s
o
p
ti
m
a
l
p
o
we
r
flo
w
i
n
v
o
lt
a
g
e
/rea
c
ti
v
e
p
o
we
r
c
o
n
tr
o
l,
"
i
n
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
P
o
we
r S
y
ste
ms
,
v
o
l.
5
,
n
o
.
4
,
p
p
.
1
4
4
7
-
1
4
5
4
,
N
o
v
.
1
9
9
0
.
[4
]
S
.
G
ra
n
v
il
le,
"
Op
ti
m
a
l
re
a
c
ti
v
e
d
i
sp
a
tch
th
r
o
u
g
h
i
n
terio
r
p
o
in
t
m
e
t
h
o
d
s
,
"
i
n
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r
S
y
ste
ms
,
v
o
l.
9
,
n
o
.
1
,
p
p
.
1
3
6
-
1
4
6
,
F
e
b
.
1
9
9
4
.
[5
]
N.
G
ru
d
in
i
n
,
"
Re
a
c
ti
v
e
p
o
we
r
o
p
ti
m
iza
ti
o
n
u
si
n
g
s
u
c
c
e
ss
iv
e
q
u
a
d
ra
ti
c
p
r
o
g
ra
m
m
in
g
m
e
th
o
d
,
"
i
n
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r
S
y
ste
ms
,
v
o
l.
1
3
,
n
o
.
4
,
p
p
.
1
2
1
9
-
1
2
2
5
,
No
v
.
1
9
9
8
.
[6
]
Wei
Ya
n
,
Ju
a
n
Y
u
,
D.
C.
Y
u
,
a
n
d
K.
B
h
a
tt
a
ra
i,
"
A
n
e
w
o
p
t
ima
l
re
a
c
ti
v
e
p
o
we
r
flo
w
m
o
d
e
l
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n
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e
c
tan
g
u
lar
fo
rm
a
n
d
it
s
so
lu
ti
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y
p
re
d
icto
r
c
o
rr
e
c
to
r
p
rima
l
d
u
a
l
in
teri
o
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p
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n
t
m
e
th
o
d
,
"
i
n
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r
S
y
ste
ms
,
v
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l.
2
1
,
n
o
.
1
,
p
p
.
6
1
-
6
7
,
F
e
b
.
2
0
0
6
.
[7
]
A.
M
u
k
h
e
rjee
a
n
d
V.
M
u
k
h
e
rjee
,
"
S
o
lu
ti
o
n
o
f
o
p
ti
m
a
l
re
a
c
ti
v
e
p
o
we
r
d
isp
a
tch
b
y
c
h
a
o
ti
c
k
ril
l
h
e
rd
a
lg
o
rit
h
m
,
"
in
IET
Ge
n
e
ra
ti
o
n
,
T
ra
n
sm
issio
n
&
Distrib
u
ti
o
n
,
v
o
l.
9
,
n
o
.
1
5
,
p
p
.
2
3
5
1
-
2
3
6
2
,
1
9
1
1
2
0
1
5
.
[8
]
Zec
h
u
n
Hu
,
Xifa
n
Wa
n
g
,
a
n
d
G
a
re
th
Tay
lo
r
, "
S
to
c
h
a
stic o
p
ti
m
a
l
re
a
c
ti
v
e
p
o
we
r
d
is
p
a
tch
:
F
o
rm
u
lati
o
n
a
n
d
so
l
u
ti
o
n
m
e
th
o
d
,
"
I
n
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
Po
we
r &
E
n
e
rg
y
S
y
ste
ms
,
v
o
l
.
3
2
,
n
o
.
6
,
p
p
.
6
1
5
-
6
2
1
,
Ju
ly
2
0
1
0
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J
Ap
p
l Po
wer
E
n
g
I
SS
N:
2252
-
8
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…
(
K
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in
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249
[9
]
M
a
h
a
letc
h
u
m
i
A/P
M
o
rg
a
n
,
No
r
Ru
l
Ha
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d
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h
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n
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h
fu
z
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h
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tafa
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d
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sd
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m
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,
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M
u
lt
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jec
ti
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l
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ry
p
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ra
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(M
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f
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re
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c
ti
v
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p
o
we
r
d
isp
a
tch
,
"
A
RP
N
J
o
u
rn
a
l
o
f
E
n
g
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n
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rin
g
a
n
d
A
p
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s
,
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l
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1
1
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1
4
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p
p
.
8
8
8
4
-
8
8
8
8
,
2
0
1
6
.
[1
0
]
K.
P
a
n
d
iara
jan
a
n
d
C.
K.
Ba
b
u
la
l
,
"
F
u
z
z
y
h
a
rm
o
n
y
se
a
rc
h
a
lg
o
ri
t
h
m
b
a
se
d
o
p
ti
m
a
l
p
o
we
r
fl
o
w
fo
r
p
o
we
r
sy
ste
m
se
c
u
rit
y
e
n
h
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n
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e
m
e
n
t
,
"
I
n
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
Po
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r
&
En
e
rg
y
S
y
ste
ms
,
v
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l.
7
8
,
p
p
.
7
2
-
79
,
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e
2
0
1
6
.
[1
1
]
M
o
rg
a
n
M
a
h
a
letc
h
u
m
i,
Ab
d
u
ll
a
h
No
r
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u
l
Ha
sm
a
,
H.
S
u
laim
a
n
M
.
,
M
u
sta
fa
M
a
h
f
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z
a
h
,
a
n
d
S
a
m
a
d
Ro
sd
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y
a
n
a
,
"
Be
n
c
h
m
a
rk
stu
d
ies
o
n
o
p
ti
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e
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ra
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tatio
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p
ter
(A
M
O)
a
n
d
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o
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ial
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u
tati
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o
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to
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(
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M
O)
,
"
J
o
u
rn
a
l
o
f
El
e
c
trica
l
S
y
ste
ms
,
v
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l
.
1
2
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n
o
.
1
,
1
2
1
-
1
3
2
,
2
0
1
6
.
[1
2
]
Re
b
e
c
c
a
Ng
S
h
in
M
e
i,
M
o
h
d
H
e
rwa
n
S
u
laim
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n
,
a
n
d
Zu
r
ian
i
M
u
sta
ffa
,
"
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t
li
o
n
o
p
ti
m
ize
r
fo
r
o
p
ti
m
a
l
re
a
c
ti
v
e
p
o
we
r
d
is
p
a
tch
so
lu
ti
o
n
,
"
J
.
El
e
c
trica
l
S
y
ste
ms
S
p
e
c
ia
l
Iss
u
e
A
M
P
E2
0
1
5
,
p
p
.
6
8
-
74
,
2
0
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6
.
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3
]
An
to
n
io
G
a
g
li
a
n
o
a
n
d
F
ra
n
c
e
sc
o
No
c
e
ra
,
"
An
a
l
y
sis
o
f
th
e
p
e
rfo
r
m
a
n
c
e
s
o
f
e
lec
tri
c
e
n
e
rg
y
sto
ra
g
e
in
re
sid
e
n
ti
a
l
a
p
p
li
c
a
ti
o
n
s
,
"
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
He
a
t
a
n
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T
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h
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y
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v
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l.
3
5
,
S
p
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c
ial
Iss
u
e
1
,
p
p
.
S
4
1
-
S
4
8
,
S
e
p
tem
b
e
r
2
0
1
7
.
[1
4
]
M
.
Ca
ld
e
ra
,
P
.
Un
g
a
ro
,
G
.
Ca
m
m
a
ra
ta,
a
n
d
G
.
P
u
g
li
si,
"
S
u
r
v
e
y
-
b
a
se
d
a
n
a
ly
sis
o
f
th
e
e
lec
tri
c
a
l
e
n
e
rg
y
d
e
m
a
n
d
in
Italian
h
o
u
se
h
o
ld
s
,
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M
a
t
h
e
ma
ti
c
a
l
M
o
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e
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li
n
g
o
f
E
n
g
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g
Pro
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l
e
ms
,
v
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l.
5
,
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p
.
2
1
7
-
2
2
4
,
S
e
p
tem
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r
2
0
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8
.
[1
5
]
Am
il
k
a
r
P
u
ris,
Ra
fa
e
l
Be
ll
o
,
Da
n
iel
M
o
li
n
a
,
a
n
d
F
ra
n
c
isc
o
He
rre
ra
,
"
Va
riab
le
m
e
sh
o
p
ti
m
iza
ti
o
n
fo
r
c
o
n
ti
n
u
o
u
s
o
p
ti
m
iza
ti
o
n
p
ro
b
lem
s
,
"
S
o
ft
C
o
m
p
u
ti
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