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[
1]
B
.
L
a
g
s
s
i
y
e
r
,
e
t
a
l
.
,
“
P
e
r
f
or
m
a
n
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e
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s
s
e
s
s
m
e
nt
,
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s
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of
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ona
l
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nd
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r
l
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ve
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D
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C
w
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t
h
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nd
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a
n
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our
nal
o
f
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l
e
c
t
r
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c
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l
E
ngi
ne
e
r
i
ng
and
C
om
p
ut
e
r
Sc
i
e
nc
e
,
vo
l
.
14,
pp.
978
-
989,
M
a
y
2019.
[
2]
B
e
l
ha
dj
M
o
ha
m
m
e
d,
e
t
a
l
.
,
“
D
e
s
i
g
n
nd
m
ode
l
i
ng
of
opt
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c
a
l
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e
f
l
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or
s
f
or
a
P
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ne
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d
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P
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ol
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an
J
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n
al
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E
l
e
c
t
r
i
c
al
E
n
gi
ne
e
r
i
n
g
and
C
om
pu
t
e
r
Sc
i
e
nc
e
,
vo
l
.
16,
pp.
653
-
660,
N
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20
19.
[
3]
H
a
s
s
a
n
F
a
t
ha
ba
di
,
e
t
a
l
.
,
“
N
ove
l
f
a
s
t
dy
na
m
i
c
M
P
P
T
(
m
a
xi
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um
p
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w
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poi
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t
t
r
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c
ki
ng
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t
e
c
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que
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y
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y
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g
h
a
c
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t
e
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t
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c
ki
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g
,
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E
l
s
e
v
i
e
r
j
our
na
l
E
ne
r
gy
.
V
o
l
.
94,
pp.
466
-
475,
J
a
n.
2016.
[
4]
H
a
dj
e
r
B
oune
c
hba
,
e
t
a
l
.
,
“
R
e
a
l
t
i
m
e
s
i
m
ul
a
t
i
on
of
M
P
P
T
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l
g
or
i
t
hm
s
f
or
P
V
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ne
r
g
y
s
y
s
t
e
m
,
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l
e
c
t
r
i
c
al
P
ow
e
r
and
E
ne
r
gy
Sy
s
t
e
m
s
.
,
V
ol
.
83,
pp.
67
-
78,
M
a
r
.
2016.
[
5]
D
a
hl
i
a
C
a
nny
,
F
e
r
i
Y
us
i
va
r
,
“
M
ax
i
m
um
P
ow
e
r
P
oi
nt
T
r
ac
k
i
ng
(
M
P
P
T
)
A
l
gor
i
t
hm
Si
m
u
l
a
t
i
on
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as
e
d
o
n
F
uz
z
y
L
og
i
c
C
ont
r
ol
l
e
r
on
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l
ar
C
e
l
l
w
i
t
h
B
o
os
t
C
on
v
e
r
t
e
r
,
”
2n
d
I
nt
e
r
na
t
i
on
a
l
C
onf
e
r
e
nc
e
on
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m
a
r
t
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i
d
a
nd
S
m
a
r
t
C
i
t
i
e
s
(
I
C
S
G
S
C
)
.
,
pp.
117
-
121,
A
ug
.
2018.
[
6]
A
r
a
s
h
K
a
l
a
nt
a
r
i
,
A
.
R
a
hm
a
t
i
a
nd
A
.
A
br
i
s
ha
m
i
f
a
r
,
“
A
F
a
s
t
e
r
M
a
xi
m
um
P
ow
e
r
P
oi
nt
T
r
a
c
ke
r
U
s
i
ng
P
e
a
k
C
ur
r
e
nt
C
ont
r
ol
,
”
I
E
E
E
Sy
m
p
os
i
um
on
I
nd
us
t
r
i
a
l
E
l
e
c
t
r
on
i
c
s
a
nd
A
pp
l
i
c
at
i
ons
,
pp.
117
–
12
2,
O
c
t
obe
r
4
-
6,
2009.
[
7]
A
s
hw
i
n
C
ha
ndw
a
ni
,
A
bha
y
K
ot
ha
r
i
,
“
D
e
s
i
gn
,
S
i
m
u
l
at
i
o
n
a
nd
I
m
p
l
e
m
e
nt
at
i
on
of
M
ax
i
m
um
P
ow
e
r
P
oi
nt
T
r
ac
k
i
n
g
(
M
P
P
T
)
f
or
So
l
a
r
b
as
e
d
R
e
ne
w
abl
e
Sy
s
t
e
m
s
,
”
I
nt
e
r
na
t
i
o
na
l
C
onf
e
r
e
nc
e
on
E
l
e
c
t
r
i
c
a
l
P
ow
e
r
a
nd
E
ne
r
g
y
S
y
s
t
e
m
s
(
I
C
E
P
E
S
)
.
pp.
539
-
544,
D
e
c
.
2016.
[
8]
H
i
r
e
n
P
a
t
e
l
,
V
i
v
e
k
A
g
a
r
w
a
l
,
“
M
A
T
L
A
B
-
B
a
s
e
d
M
od
e
l
i
ng
t
o
S
t
u
dy
t
he
E
f
f
e
c
t
s
of
P
a
r
t
i
a
l
S
ha
di
ng
on
P
V
A
r
r
a
y
C
ha
r
a
c
t
e
r
i
s
t
i
c
s
,
”
I
E
E
E
T
r
an
s
ac
t
i
ons
o
n
E
ne
r
gy
C
onv
e
r
s
i
o
n
,
V
o
l
.
23,
pp.
302
-
310,
M
a
r
.
2008.
[
9]
R
a
s
e
s
w
a
r
i
P
r
a
dha
n,
B
i
d
y
a
dha
r
S
ubudhi
“
D
e
s
i
g
n
a
nd
r
e
a
l
-
t
i
m
e
i
m
p
l
e
m
e
n
t
a
t
i
on
of
a
ne
w
a
ut
o
-
t
un
e
d
a
da
pt
i
v
e
M
P
P
T
c
ont
r
ol
f
or
a
phot
ovo
l
t
a
i
c
s
y
s
t
e
m
,
”
E
l
e
c
t
r
i
c
al
P
ow
e
r
and
E
ne
r
g
y
S
y
s
t
e
m
s
.
,
V
ol
.
64,
pp.
792
-
803,
J
u
l
.
2014.
[
10]
N
e
i
l
S
.
D
'
S
ouz
a
,
e
t
a
l
.
,
“
P
e
ak
C
ur
r
e
nt
C
o
nt
r
ol
B
as
e
d
M
a
x
i
m
u
m
P
o
w
e
r
P
oi
nt
T
r
ac
k
e
r
s
f
or
F
as
t
e
r
T
r
ans
i
e
nt
R
e
s
pons
e
s
,
”
C
a
na
di
a
n
C
onf
e
r
e
nc
e
on
E
l
e
c
t
r
i
c
a
l
a
nd
C
om
put
e
r
E
ng
i
ne
e
r
i
ng
.
,
pp.
659
-
663,
M
a
y
2006.
[
11]
B
oua
z
z
a
F
e
kka
k,
e
t
a
l
.
,
“
C
ont
r
o
l
of
t
r
a
ns
f
or
m
e
r
l
e
s
s
g
r
i
d
-
c
onne
c
t
e
d
P
V
s
y
s
t
e
m
us
i
ng
a
ve
r
a
g
e
m
ode
l
s
of
p
ow
e
r
e
l
e
c
t
r
on
i
c
s
c
onve
r
t
e
r
s
w
i
t
h
M
A
T
L
A
B
/
S
i
m
ul
i
nk,
”
S
ol
a
r
E
ne
r
gy
.
,
V
ol
.
174,
pp.
804
-
813,
A
ug
.
2018.
[
12]
S
a
nj
e
e
v
S
i
ng
h,
B
hi
m
S
i
ng
h,
“
P
o
w
e
r
Q
ual
i
t
y
I
m
pr
ov
e
m
e
nt
o
f
P
M
B
L
D
C
M
D
r
i
v
e
n
A
i
r
-
c
ond
i
t
i
o
ne
r
us
i
n
g
a
Si
ngl
e
-
St
age
P
F
C
B
oos
t
B
r
i
dge
C
on
v
e
r
t
e
r
,
”
2009
A
nn
ua
l
I
E
E
E
I
n
di
a
C
on
f
e
r
e
nc
e
.,
pp.
466
-
475,
D
e
c
.
2009.
[
13]
R
.
G
a
y
a
t
hr
i
,
G
.
A
.
E
z
h
i
l
a
r
a
s
i
,
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G
ol
de
n
s
e
c
t
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on
s
e
a
r
c
h
ba
s
e
d
m
a
xi
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um
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po
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nt
t
r
a
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ki
ng
s
t
r
a
t
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g
y
f
o
r
a
dua
l
out
pu
t
DC
-
D
C
c
on
ve
r
t
e
r
,
”
A
i
n
Sham
s
E
ngi
ne
e
r
i
ng
J
ou
r
na
l
.
,
V
o
l
.
99,
pp.
2617
-
2630,
D
e
c
.
2018.
[
14]
M
.
K
.
S
hi
r
a
z
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r
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ng
.
,
vol
.
5,
pp.
74
–
79,
2015.
[
15]
S
.
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ul
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,
pp.
167
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2008.
[
16]
G
.
G
.
R
a
j
a
S
e
kha
r
1,
e
t
a
l
.
,
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n
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na
l
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nt
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e
.
,
vol
.
8,
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o.
2
,
pp.
1262
-
1272,
A
pr
2018.
[
17]
L
i
j
un
Z
H
A
N
G
,
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l
.
,
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n
onl
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s
,
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ou
r
na
l
of
M
ode
r
n
P
ow
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Sy
s
t
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m
s
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l
e
an
E
ne
r
gy
.
,
vol
.
7,
N
o.
2,
pp.
357
-
368,
2019.
[
18]
A
bde
l
ha
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i
d
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oukr
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t
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l
.
,
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our
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hno
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y
.
,
vol
.
101,
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o.
5,
pp.
16
71
-
1680,
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pr
2019.
[
19]
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s
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l
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m
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,
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ol
ar
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ne
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,
vo
l
.
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o.
3,
pp.
149
-
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2018.
[
20]
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pa
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om
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ul
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l
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.
,
vo
l
.
100,
N
o.
4,
pp.
2473
-
24
83,
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e
c
2018.
[
21]
B
ha
vne
s
h
K
um
a
r
,
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t
a
l
.
,
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vi
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h
nol
ogy
.
vol
.
N
o.
4,
pp.
439
-
452,
O
c
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2018.
[
22]
R
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o
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.
9,
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o.
4,
pp.
230
-
240,
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c
t
2018.
[
23]
T
ha
'
e
r
O
.
S
w
e
i
da
n,
e
t
a
l
.
,
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ona
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s
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on
.
,
vol
.
1
0,
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o.
2,
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225
-
240,
J
a
n
2019.
[
24]
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a
ur
a
bh
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hukl
a
,
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t
a
l
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P
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25]
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at
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on
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,
vol
.
1
3,
N
o.
10,
pp.
1615
-
163
2,
J
ul
2019.
B
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