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At
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[
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s
.
Q.
Al
s
af
asfe
h
et
a
l
.
[
9
]
p
r
o
p
o
s
es
a
m
ax
im
u
m
in
teg
r
atio
n
ca
p
ac
ity
o
p
tim
izatio
n
m
o
d
el
o
f
s
o
lar
PV
p
o
wer
ac
co
r
d
in
g
to
d
if
f
er
en
t
p
o
wer
f
ac
to
r
s
f
o
r
t
h
e
PV
p
o
wer
.
A
h
y
b
r
id
p
o
wer
s
y
s
tem
with
win
d
-
s
o
lar
PV
g
en
er
atio
n
s
alo
n
g
with
an
en
h
a
n
ce
d
c
o
n
t
r
o
l
ap
p
r
o
ac
h
f
o
r
t
h
e
g
r
i
d
co
n
n
ec
ted
win
d
e
n
er
g
y
co
n
v
er
s
io
n
s
y
s
tem
(
W
E
C
S)
co
n
s
id
er
in
g
u
n
ce
r
tain
t
ies h
as
b
ee
n
p
r
o
p
o
s
ed
i
n
[
1
0
]
.
P.
M.
Ar
iy
ar
atn
a
et
a
l.
[
1
1
]
d
escr
ib
es
th
e
p
o
s
s
ib
ilit
y
o
f
en
h
an
cin
g
th
e
p
o
wer
n
etwo
r
k’
s
PQ
with
th
e
h
elp
o
f
win
d
a
n
d
s
o
lar
PV
b
ased
DGs
in
wea
k
p
o
wer
g
r
id
s
.
A
n
ew
an
aly
tical
m
eth
o
d
o
l
o
g
y
to
m
itig
ate
th
e
s
lo
w
an
d
f
ast
v
o
ltag
e
f
lu
ctu
atio
n
s
i
n
L
V
d
is
tr
ib
u
tio
n
f
ee
d
e
r
h
as
b
ee
n
p
r
esen
ted
in
[
1
2
]
.
O.
B
.
Ad
ewu
y
i
et
a
l
[
1
3
]
d
escr
ib
es
th
e
d
esig
n
g
u
id
elin
e
s
o
f
k
ey
p
ar
am
eter
s
f
o
r
PVT
b
ased
s
o
lar
s
y
s
tem
s
an
d
a
s
u
it
ab
le
en
er
g
y
s
to
r
ag
e
ap
p
r
o
ac
h
.
M.
Mo
h
an
a
n
et
a
l
.
[
1
4
]
p
r
o
p
o
s
es
a
v
o
ltag
e
s
tab
ilit
y
-
b
ased
m
eth
o
d
o
lo
g
y
f
o
r
lar
g
e
s
ca
le
PV
p
o
wer
p
en
etr
atio
n
in
to
th
e
s
u
s
ce
p
tib
le
p
o
wer
g
r
id
.
T
h
e
q
u
ality
o
f
p
o
wer
in
I
n
d
ia
is
wid
ely
cr
itic
ized
f
o
r
its
lar
g
e
to
ler
an
ce
in
v
o
ltag
e
an
d
f
r
e
q
u
en
cy
r
an
g
es
o
f
o
p
er
atio
n
.
T
h
e
lack
o
f
g
o
o
d
q
u
ality
a
n
d
c
o
n
d
itio
n
e
d
p
o
wer
is
v
is
ib
le
ev
en
in
th
e
m
etr
o
citie
s
o
f
th
is
n
atio
n
.
T
h
er
e
is
a
g
r
e
at
ch
an
ce
o
f
f
u
r
th
e
r
d
eter
i
o
r
atio
n
o
f
p
o
wer
q
u
ality
with
h
ig
h
le
v
els
o
f
g
r
id
p
en
etr
atio
n
th
at
will
co
m
e
with
th
e
i
m
p
lem
en
tatio
n
o
f
n
et
m
eter
in
g
s
y
s
tem
.
Hen
ce
,
it
is
r
elev
an
t to
s
tu
d
y
th
e
im
p
ac
t
s
PV p
en
etr
atio
n
ca
n
h
a
v
e
o
n
t
h
e
g
r
id
s
,
ex
ce
p
tio
n
ally
th
e
wea
k
g
r
id
s
.
T
h
e
m
aj
o
r
o
b
jectiv
es
o
f
th
is
p
ap
e
r
ar
e
t
o
m
o
d
el
a
PV
in
teg
r
ated
wea
k
d
is
tr
ib
u
tio
n
g
r
id
,
an
d
to
s
tu
d
y
t
h
e
v
o
ltag
e
p
r
o
f
ile
o
f
th
e
g
r
id
in
p
er
tin
e
n
ce
to
g
r
id
d
u
e
to
p
o
wer
in
jectio
n
f
r
o
m
d
is
tr
ib
u
ted
PV a
r
r
ay
s
.
2.
M
O
DE
L
I
NG
O
F
T
H
E
SYS
T
E
M
T
h
e
m
ajo
r
o
b
jectiv
e
o
f
th
is
s
ec
tio
n
is
t
o
m
o
d
el
a
s
o
lar
PV
in
te
g
r
ated
wea
k
d
is
tr
ib
u
tio
n
g
r
i
d
.
T
h
is
wo
r
k
also
p
r
esen
ts
th
e
v
o
ltag
e
p
r
o
f
i
le
o
f
t
h
e
g
r
id
i
n
p
e
r
tin
en
ce
to
g
r
id
d
u
e
t
o
p
o
wer
i
n
jectio
n
f
r
o
m
d
is
tr
ib
u
te
d
PV
ar
r
ay
s
.
T
h
e
b
lo
c
k
d
iag
r
am
o
f
o
v
er
all
s
y
s
tem
h
as b
ee
n
d
ep
icted
in
Fig
u
r
e
1
.
Mo
d
elin
g
o
f
d
i
f
f
er
en
t c
o
m
p
o
n
e
n
ts
o
f
th
is
s
y
s
tem
is
ex
p
lain
ed
n
e
x
t
[
1
5
]
.
P
C
C
P
V
A
r
r
a
y
B
o
o
s
t
C
o
n
v
e
r
t
e
r
4
L
e
g
I
n
v
e
r
t
e
r
L
o
c
a
l
l
o
a
d
G
r
i
d
Fig
u
r
e
1
.
B
lo
ck
d
iag
r
am
o
f
o
v
er
all
s
y
s
tem
2
.
1
.
M
o
delin
g
o
f
P
V
a
rr
a
y
I
t
was
n
ec
ess
ar
y
to
m
o
d
el
a
PV
d
ev
ice
in
s
tead
o
f
ju
s
t
u
s
in
g
a
DC
s
o
u
r
ce
,
as
th
e
v
ar
iatio
n
o
f
th
e
PV
u
n
it’s
o
u
t
p
u
t
ac
c
o
r
d
in
g
to
ir
r
a
d
iatio
n
an
d
tem
p
er
atu
r
e
is
r
el
ev
an
t
to
th
e
s
tu
d
y
.
T
h
e
m
o
d
el
in
g
was
d
o
n
e
u
s
in
g
th
e
m
ath
em
atica
l
m
o
d
els
p
r
esen
ted
in
[
3
]
.
An
id
ea
l
PV
ce
ll
is
m
o
d
eled
as
a
cu
r
r
en
t
s
o
u
r
ce
th
at
is
in
p
ar
allel
with
a
d
io
d
e.
Her
e
Sh
o
ck
ley
d
io
d
e
eq
u
atio
n
is
u
s
ed
to
m
o
d
el
th
e
d
io
d
e.
T
h
e
id
ea
l
PV
ce
ll
o
u
tp
u
t
cu
r
r
e
n
t
is
g
iv
en
b
y
[
1
6
]
,
=
−
(
(
)
−
1
)
(
1
)
I
n
th
e
p
r
ac
tical
m
o
d
el
o
f
P
V
ce
ll,
th
e
s
er
ies an
d
p
ar
allel
r
esi
s
tan
ce
s
ar
e
also
co
n
s
id
er
ed
.
T
h
e
v
alu
e
o
f
th
e
s
er
ies
r
esis
tan
ce
(
)
d
ep
en
d
s
o
n
co
n
tact
r
esis
tan
ce
o
f
p
-
n
ju
n
ctio
n
s
an
d
c
o
n
tact
r
esis
tan
ce
with
m
etal
p
late.
I
ts
ef
f
ec
t
is
d
o
m
in
an
t
wh
e
n
t
h
e
PV
ar
r
ay
is
o
p
e
r
ated
in
t
h
e
v
o
ltag
e
s
o
u
r
ce
d
o
m
ain
.
T
h
e
v
alu
e
o
f
p
ar
allel
r
esis
tan
ce
(
)
d
e
p
en
d
s
o
n
th
e
leak
ag
e
cu
r
r
en
t
wh
ich
is
p
r
i
m
ar
ily
d
e
p
en
d
e
n
t
o
n
th
e
f
ab
r
icatio
n
tech
n
iq
u
e
u
s
ed
[
1
7
]
.
Acc
o
m
m
o
d
atin
g
th
e
ad
d
itio
n
al
cu
r
r
en
t
lo
s
s
d
u
e
t
o
th
e
s
er
ies
an
d
p
ar
allel
elem
en
ts
to
th
e
id
ea
l
PV
ce
ll e
q
u
atio
n
,
we
g
et
(
2
)
an
d
t
h
e
m
o
d
el
is
as sh
o
wn
in
th
e
Fig
u
r
e
2.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6
9
3
0
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
,
Vo
l.
19
,
No
.
3
,
J
u
n
e
2
0
2
1
:
9
6
8
-
9
7
6
970
=
−
[
(
(
+
)
−
1
)
]
−
(
+
)
(
2
)
wh
er
e
I
is
P
V
ce
ll
cu
r
r
en
t
o
u
tp
u
t
,
is
l
ig
h
t
g
en
er
ated
cu
r
r
e
n
t
,
is
r
ev
er
s
e
s
atu
r
atio
n
c
u
r
r
en
t
o
r
leak
a
g
e
cu
r
r
en
t
o
f
d
io
d
e
,
V
is
v
o
ltag
e
at
P
V
ce
l
l
ter
m
in
als
,
is
r
e
s
is
t
an
ce
in
s
er
ies
w
ith
PV
ce
ll
,
is
r
esi
s
tan
ce
in
p
ar
allel
with
P
V
ce
ll
,
is
d
io
d
e
id
ea
lity
co
n
s
tan
t,
is
n
u
m
b
e
r
o
f
s
o
lar
PV
ce
lls
in
s
er
ies,
is
n
u
m
b
er
o
f
PV
ce
lls
in
p
ar
allel,
K
is
B
o
ltzm
an
n
c
o
n
s
tan
t
,
T
is
t
em
p
er
at
u
r
e
,
is
c
h
ar
g
e
o
f
an
elec
tr
o
n
,
is
t
h
er
m
al
v
o
lta
g
e
o
f
PV a
r
r
ay
with
ce
lls
in
s
er
ies
[
1
8
]
.
Fig
u
r
e
2
.
Pra
ctica
l sin
g
le
d
io
d
e
m
o
d
el
o
f
a
PV c
ell
I
n
(
2
)
,
th
e
th
e
r
m
al
v
o
ltag
e
o
f
PV a
r
r
ay
with
ce
lls
in
s
er
ies i
s
ca
lcu
lated
b
y
u
s
in
g
,
=
(
)
⁄
(
3
)
T
h
e
lig
h
t
g
en
e
r
ated
cu
r
r
en
t
(
)
an
d
d
io
d
e
s
atu
r
atio
n
(
)
cu
r
r
e
n
t
ar
e
d
ep
e
n
d
en
t
o
n
tem
p
e
r
atu
r
e
an
d
s
o
lar
ir
r
ad
ian
ce
,
a
n
d
th
e
y
ar
e
e
x
p
r
es
s
ed
as
[
1
9
]
,
=
(
,
+
)
⁄
(
4
)
=
(
,
+
)
(
(
,
)
⁄
−
1
)
⁄
(
5
)
T
h
e
v
alu
es
o
f
an
d
ar
e
av
ailab
le
in
th
e
d
ata
s
h
ee
t
o
f
PV
m
o
d
u
le
[
2
0
]
.
G
is
th
e
ir
r
ad
iatio
n
c
o
n
s
tan
t
an
d
is
th
e
n
o
m
in
al
ir
r
ad
iatio
n
co
n
s
tan
t
wh
ich
is
1
0
0
0
2
⁄
.
T
h
e
d
ata
s
h
ee
ts
will
also
g
iv
e
th
e
v
al
u
es
o
f
n
o
m
in
al
s
h
o
r
t
cir
cu
it
cu
r
r
en
t
a
n
d
o
p
en
c
ir
cu
it
v
o
ltag
e
v
alu
es.
T
h
e
cu
r
r
e
n
t
g
en
er
ate
d
at
n
o
m
in
al
tem
p
er
atu
r
e
is
co
n
s
id
er
e
d
to
b
e
eq
u
al
to
n
o
m
in
al
s
h
o
r
t
ci
r
cu
it
cu
r
r
en
t,
an
d
it
is
a
f
ea
s
ib
le
ap
p
r
o
x
im
atio
n
.
So
la
r
PV
ar
r
a
y
m
o
d
el
is
d
e
p
icted
in
Fig
u
r
e
3
.
Mo
d
elin
g
an
a
r
r
a
y
o
f
PV
ce
lls
n
ee
d
to
tak
e
in
to
ac
co
u
n
t
th
e
n
u
m
b
e
r
o
f
ce
lls
in
p
ar
allel
an
d
s
er
ies
[
2
1
,
2
2
]
.
an
d
af
f
ec
ts
th
e
o
u
tp
u
t
cu
r
r
en
t
b
y
a
f
ac
to
r
o
f
⁄
.
T
h
e
s
o
lar
ir
r
ad
iatio
n
cu
r
r
en
t
(
)
is
g
en
er
ated
b
y
u
s
in
g
,
=
−
(
+
−
1
)
−
(
+
)
(
6
)
0
e
x
p
1
s
pv
t
VR
II
Va
+
−−
pv
I
0
I
V
V
s
R
p
R
I
I
m
I
+
−
+
−
Fig
u
r
e
3
.
So
lar
PV a
r
r
ay
m
o
d
e
l
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
V
o
lta
g
e
p
r
o
file imp
r
o
ve
men
t o
f wea
k
g
r
id
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la
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V
in
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r
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tio
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a
n
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u
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a
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.
2
.
M
o
delin
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o
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bo
o
s
t
co
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er
t
er
T
h
e
DC
/D
C
co
n
v
er
ter
s
ar
e
u
s
ed
to
co
n
v
er
t a
n
u
n
r
eg
u
lated
DC
v
o
ltag
e,
o
b
tain
ed
f
r
o
m
s
o
l
ar
PV a
r
r
ay
d
u
e
to
th
e
f
lu
ctu
atin
g
c
h
an
g
es
in
tem
p
er
at
u
r
e
a
n
d
s
o
lar
ir
r
ad
i
atio
n
[2
3
]
.
I
n
th
e
b
o
o
s
t
co
n
v
er
ter
,
th
e
av
er
a
g
e
DC
o
u
tp
u
t v
o
ltag
e
is
co
n
tr
o
lled
to
b
e
eq
u
ated
to
th
e
d
esire
d
v
alu
e
th
at
n
ee
d
s
to
b
e
f
ed
in
t
o
th
e
in
v
er
ter
.
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h
e
b
o
o
s
t
h
as
b
ee
n
d
esig
n
ed
f
o
r
a
DC
v
o
ltag
e
o
f
6
0
0
V
[
4
]
.
T
h
e
cir
c
u
it
d
iag
r
am
o
f
th
e
b
o
o
s
t
co
n
v
er
ter
is
d
ep
icted
i
n
Fig
u
r
e
4
.
⁄
=
⁄
=
⁄
=
1
(
⁄
1
−
)
(
7
)
W
h
er
e
=
(
+
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is
tim
e
p
er
io
d
o
f
s
witch
in
g
,
a
n
d
=
⁄
is
d
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ty
cy
cle.
A
PI
c
o
n
tr
o
ller
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s
ed
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co
n
tr
o
l
t
h
e
o
u
tp
u
t
v
o
ltag
e
with
th
e
v
ar
iatio
n
s
in
th
e
b
o
o
s
t
i
n
p
u
t.
T
h
e
o
u
tp
u
t
v
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l
tag
e
o
f
th
e
b
o
o
s
t
is
c
o
m
p
ar
e
d
with
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e
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er
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ce
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d
th
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er
r
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r
is
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e
d
b
ac
k
to
th
e
I
GB
T
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ate
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g
h
a
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n
t
r
o
ller
as
s
h
o
w
n
i
n
Fig
u
r
e
5
[
2
4
,
2
5
]
.
T
h
e
PI
c
o
n
tr
o
ller
was tu
n
ed
b
y
tr
ial
an
d
er
r
o
r
m
eth
o
d
.
Fig
u
r
e
4
.
B
o
o
s
t c
o
n
v
er
ter
S
O
L
A
R
P
V
Fig
u
r
e
5
.
PI
c
o
n
tr
o
l
f
o
r
v
ar
y
in
g
th
e
d
u
ty
cy
cle
in
ac
co
r
d
an
ce
with
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e
v
ar
y
i
n
g
in
p
u
t v
o
ltag
e
2
.
3
.
M
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delin
g
o
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a
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ur
leg
i
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er
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A
3
p
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ase
f
o
u
r
leg
in
v
er
ter
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m
o
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eled
as
it
em
p
lo
y
s
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ad
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n
al
in
v
er
ter
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ich
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e
u
tr
al
p
o
in
t
v
o
ltag
e
a
s
s
h
o
wn
in
Fig
u
r
e
6
[
2
6
]
.
T
h
e
p
r
o
p
o
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ed
co
n
tr
o
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s
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ateg
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ase
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n
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ed
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ce
th
e
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h
ase
v
o
ltag
e
u
n
b
alan
ce
.
T
h
e
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M)
s
ch
em
e
is
u
s
ed
to
r
em
o
v
e
lo
w
o
r
d
er
h
ar
m
o
n
ic
d
is
to
r
tio
n
f
r
o
m
th
e
in
v
er
te
r
v
o
ltag
e
[
2
7
].
2
.
4
.
I
nv
er
t
er
c
o
ntr
o
l:
s
y
nchro
no
us
re
f
er
ence
f
ra
m
e
pi co
ntr
o
ller
(
SRF
-
P
I
C)
T
h
e
co
n
tr
o
l
s
tr
ateg
y
is
b
ased
o
n
-
th
eo
r
y
in
wh
ich
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ad
c
u
r
r
en
t
an
d
in
v
er
ter
cu
r
r
e
n
t
s
en
s
in
g
ar
e
r
eq
u
ir
ed
.
I
n
th
is
wo
r
k
,
t
h
e
ti
m
e
d
o
m
ain
b
ased
s
y
n
c
h
r
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n
o
u
s
r
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er
en
ce
f
r
am
e
th
e
o
r
y
is
u
s
ed
.
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h
e
s
tr
u
ctu
r
e
o
f
s
y
n
ch
r
o
n
o
u
s
r
ef
e
r
en
ce
f
r
a
m
e
(
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ap
p
r
o
ac
h
in
clu
d
es
PI
co
n
tr
o
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f
o
r
d
c
-
lin
k
ca
p
ac
ito
r
v
o
ltag
e
r
eg
u
lato
r
an
d
PLL
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cu
it
f
o
r
v
ec
to
r
o
r
ie
n
tatio
n
[2
8
,
2
9
]
.
T
h
e
3
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ase
lo
a
d
cu
r
r
e
n
ts
,
,
in
s
tatio
n
ar
y
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o
o
r
d
in
ates
ar
e
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n
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er
ted
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to
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p
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ase
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ad
r
a
tic
ax
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an
d
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ec
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r
d
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ates
cu
r
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e
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ts
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d
us
in
g
(
8
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.
T
h
e
-
co
n
tr
o
l
was
im
p
lem
en
ted
as
s
h
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wn
in
Fig
u
r
e
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,
wh
er
e
th
e
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ase
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le
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o
b
tain
ed
f
r
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m
a
p
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ase
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PLL
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e
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m
th
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h
e
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y
s
ter
esis
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r
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en
t
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n
tr
o
l
m
eth
o
d
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s
ed
t
o
c
o
n
tr
o
l
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e
f
ir
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th
e
i
n
v
er
ter
[
30
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3
1
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ase
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r
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.
-
co
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o
l
3.
SI
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AND
DIS
CUSS
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iatio
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iles
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u
m
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th
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ap
er
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o
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u
ctin
g
th
e
s
im
u
latio
n
s
tu
d
ies,
an
d
th
ey
ar
e
d
e
p
icted
in
Fig
u
r
es
8
(
a)
an
d
(
b
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,
r
esp
ec
ti
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ely
.
T
h
e
tim
e
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o
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in
ter
est
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o
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t
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im
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m
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d
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ax
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e
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ies o
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d
th
e
y
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e
d
is
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s
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ed
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ex
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(
a)
(
b
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Fig
u
r
e
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.
(
a
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Daily
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o
lar
ir
r
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atio
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ile
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d
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Daily
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d
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r
o
f
ile
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r
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er
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y
3
.
1
.
Ca
s
e
1
:
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P
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g
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d r
equire
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ent
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n
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e,
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o
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en
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n
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id
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th
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em
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3
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Fig
u
r
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9
,
1
0
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d
1
1
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e
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icts
th
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v
o
ltag
e
a
n
d
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r
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r
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iles
o
f
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Fro
m
Fig
u
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9
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d
1
1
,
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e
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r
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ase,
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tially
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ets th
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em
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d
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Fig
u
r
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9
.
Vo
ltag
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d
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u
r
r
e
n
t
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r
o
f
iles
o
f
PV sid
e
f
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r
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s
e
1
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T
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L
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12
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13
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e
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iles
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ad
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1
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ase,
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1
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iles
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3
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n
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n
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ig
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5
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16
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17
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e
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icts
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r
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iles
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h
ase
o
n
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e
g
r
id
s
id
e
p
r
o
f
ile.
I
n
th
is
ca
s
e,
t
h
e
s
o
lar
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jectin
g
th
e
e
x
ce
s
s
p
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id
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ter
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et
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d
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em
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d
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T
h
e
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n
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h
ip
b
etwe
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o
lar
PV
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jectio
n
an
d
g
r
id
v
o
ltag
e
is
d
ep
icted
in
Fig
u
r
e
18
.
Fro
m
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is
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ig
u
r
e,
it
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e
o
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ed
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at
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r
i
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ly
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e
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n
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cr
o
s
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ed
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e
2
0
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s
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o
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it
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s
e
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0
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k
W
o
f
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o
lar
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n
.
Her
e,
th
e
l
o
ad
d
em
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d
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3
0
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W
a
n
d
i
t
cr
o
s
s
ed
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e
s
tead
y
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tate
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o
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e
lim
it wh
en
s
o
lar
PV g
en
er
ati
o
n
was c
lo
s
e
to
3
tim
es th
e
lo
a
d
r
eq
u
i
r
em
en
t.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6
9
3
0
T
E
L
KOM
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KA
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o
m
m
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n
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o
m
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l Co
n
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o
l
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Vo
l.
19
,
No
.
3
,
J
u
n
e
2
0
2
1
:
9
6
8
-
9
7
6
974
Fig
u
r
e
1
3
.
V
o
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an
d
cu
r
r
en
t p
r
o
f
iles
o
f
l
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ad
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o
r
ca
s
e
2
Fig
u
r
e
1
4
.
V
o
ltag
e
an
d
cu
r
r
en
t p
r
o
f
iles
o
f
g
r
id
s
id
e
f
o
r
ca
s
e
2
Fig
u
r
e
1
5
.
V
o
ltag
e
an
d
cu
r
r
en
t p
r
o
f
iles
o
f
PV sid
e
f
o
r
ca
s
e
3
Fig
u
r
e
1
6
.
Vo
ltag
e
an
d
cu
r
r
en
t p
r
o
f
iles
o
f
l
o
ad
s
id
e
f
o
r
ca
s
e
3
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
V
o
lta
g
e
p
r
o
file imp
r
o
ve
men
t o
f wea
k
g
r
id
w
ith
s
o
la
r
P
V
in
teg
r
a
tio
n
(
S
a
n
d
ee
p
V
u
d
d
a
n
ti
)
975
Fig
u
r
e
1
7
.
Vo
ltag
e
an
d
cu
r
r
en
t p
r
o
f
iles
o
f
g
r
id
s
id
e
f
o
r
ca
s
e
3
Fig
u
r
e
1
8
.
Plo
t o
f
s
o
lar
PV in
j
ec
tio
n
an
d
g
r
id
v
o
ltag
e
4.
CO
NCLU
SI
O
N
I
n
th
is
p
ap
er
,
th
e
r
elatio
n
b
et
wee
n
s
o
lar
PV
p
o
wer
in
jectio
n
an
d
g
r
i
d
v
o
ltag
e
f
o
r
a
lo
ad
o
f
3
0
k
W
is
s
tu
d
ied
.
Var
io
u
s
s
ce
n
a
r
io
s
ar
e
co
n
s
id
er
ed
in
t
h
is
wo
r
k
,
s
u
ch
as
all
th
e
lo
a
d
s
ar
e
r
esid
en
tial,
ea
ch
o
n
e
o
f
t
h
em
h
av
e
an
in
s
talled
ca
p
ac
ity
th
at
’
s
d
o
u
b
le
th
at
o
f
t
h
eir
p
ea
k
r
e
q
u
ir
em
en
t
an
d
th
e
m
in
im
u
m
lo
ad
d
u
r
in
g
th
e
d
ay
is
o
n
e
th
ir
d
o
f
th
e
p
ea
k
lo
ad
an
d
co
in
cid
e
with
m
ax
im
u
m
PV
p
o
wer
in
jectio
n
.
I
t
ca
n
b
e
c
o
n
clu
d
ed
th
at
th
e
g
r
id
will
r
em
ain
with
in
th
e
v
o
ltag
e
lim
its
p
r
escr
ib
ed
b
y
I
E
E
E
s
tan
d
ar
d
s
if
p
o
wer
in
jectio
n
in
to
th
e
g
r
id
is
o
n
ly
f
r
o
m
r
esid
en
tial
s
o
u
r
ce
s
.
E
v
en
s
o
,
if
th
er
e
is
an
y
lar
g
e
-
s
ca
le
PV
in
jectio
n
wh
ich
is
ab
o
v
e
t
h
at
o
f
th
e
s
ce
n
ar
i
o
p
r
o
p
o
s
ed
,
th
er
e
ar
e
ch
a
n
ce
s
o
f
th
e
v
o
ltag
e
s
well
in
th
e
g
r
id
b
ey
o
n
d
p
er
m
is
s
ib
le
lev
els.
Hen
ce
,
PV
in
s
talla
tio
n
s
s
h
o
u
ld
b
e
m
o
n
ito
r
ed
a
n
d
r
est
r
icted
to
n
o
t
cr
o
s
s
th
e
m
ax
im
u
m
lim
it
o
f
PV
in
jectio
n
.
I
f
t
h
er
e
is
ex
ce
s
s
PV
in
jectio
n
th
er
e
h
as
to
b
e
ad
d
itio
n
al
f
ac
ilit
ies
l
ik
e
en
er
g
y
s
to
r
ag
e
s
y
s
tem
s
to
ab
s
o
r
b
th
e
ex
ce
s
s
r
ea
l
p
o
wer
,
in
o
r
d
er
t
o
m
ain
tain
th
e
g
r
id
v
o
lt
ag
e
with
in
p
er
m
is
s
ib
le
lev
els.
ACK
NO
WL
E
DG
E
M
E
NT
S
T
h
is
r
esear
ch
wo
r
k
h
as
b
ee
n
ca
r
r
ied
o
u
t
b
ased
o
n
th
e
s
u
p
p
o
r
t
of
“
W
o
o
s
o
n
g
Un
iv
er
s
ity
’
s
Aca
d
em
ic
R
esear
ch
Fu
n
d
in
g
-
(
2
0
2
0
-
2
0
2
1
)
”
.
RE
F
E
R
E
NC
E
S
[1
]
K.
Ko
k
e
t
a
l
.
,
“
A
S
o
c
iety
o
f
De
v
i
c
e
s:
In
teg
ra
ti
n
g
In
tell
ig
e
n
t
Distrib
u
ted
Re
so
u
rc
e
s
with
Tran
sa
c
ti
v
e
En
e
rg
y
,
”
IEE
E
Po
we
r a
n
d
E
n
e
rg
y
M
a
g
a
zin
e
,
v
o
l
.
1
4
,
n
o
.
3
,
p
p
.
3
4
-
4
5
,
2
0
1
6
.
[2
]
S
.
G
ru
n
a
u
e
t
a
l
.,
“
Eff
e
c
t
o
f
wi
n
d
-
e
n
e
rg
y
p
o
we
r
i
n
jec
ti
o
n
i
n
t
o
we
a
k
g
r
id
s”
.
A
v
a
il
a
b
le.
[O
n
li
n
e
]:
h
t
t
p
s://www.
tf
.
u
n
i
-
k
iel.
d
e
/etit
/L
EA
/en
/re
se
a
rc
h
/P
u
b
l
ica
ti
o
n
s/p
u
b
li
c
a
ti
o
n
s2
0
1
2
/g
r
u
n
a
u
_
e
we
a
_
2
0
1
2
.
p
d
f
[3
]
M.
G
.
Vill
a
lv
a
e
t
a
l
.,
“
Co
m
p
re
h
e
n
siv
e
Ap
p
ro
a
c
h
to
M
o
d
e
li
n
g
a
n
d
S
im
u
latio
n
o
f
P
h
o
t
o
v
o
lt
a
ic
Arra
y
s,”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r E
lec
tro
n
i
c
s
,
v
o
l.
2
4
,
n
o
.
5
,
p
p
.
1
1
9
8
-
1
2
0
8
,
2
0
0
9
.
[4
]
C.
S
.
S
a
c
h
i
n
e
t
a
l
.,
“
De
sig
n
a
n
d
sim
u
latio
n
f
o
r
sli
d
in
g
m
o
d
e
c
o
n
tr
o
l
in
DC
-
DC
b
o
o
st
c
o
n
v
e
rter,”
2
n
d
I
n
ter
n
a
t
io
n
a
l
Co
n
fer
e
n
c
e
o
n
Co
mm
u
n
ica
t
io
n
a
n
d
E
lec
tro
n
ics
S
y
ste
ms
,
Co
imb
a
t
o
re
,
2
0
1
7
,
p
p
.
4
4
0
-
4
4
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6
9
3
0
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
,
Vo
l.
19
,
No
.
3
,
J
u
n
e
2
0
2
1
:
9
6
8
-
9
7
6
976
[5
]
T.
S
h
a
n
t
h
i
e
t
a
l
.
,
“
P
o
we
r
e
lec
tro
n
i
c
in
terfa
c
e
fo
r
g
ri
d
-
c
o
n
n
e
c
ted
P
V
a
rra
y
u
si
n
g
b
o
o
st
c
o
n
v
e
rter
a
n
d
li
n
e
-
c
o
m
m
u
tate
d
in
v
e
rter
wi
th
M
P
P
T,
”
I
n
ter
n
a
ti
o
n
a
l
C
o
n
fer
e
n
c
e
o
n
In
telli
g
e
n
t
a
n
d
A
d
v
a
n
c
e
d
S
y
ste
ms
,
Ku
a
la
Lu
m
p
u
r
,
2
0
0
7
,
p
p
.
8
8
2
-
8
8
6
.
[6
]
J.
S
u
sa
n
to
e
t
a
l
.
,
“
A fram
e
wo
rk
t
o
tec
h
n
ica
ll
y
e
v
a
l
u
a
te i
n
teg
ra
ti
o
n
o
f
u
ti
li
ty
-
sc
a
le p
h
o
to
v
o
lt
a
ic
p
lan
ts
to
we
a
k
p
o
we
r
d
istri
b
u
ti
o
n
s
y
ste
m
s,”
Ap
p
l
ied
E
n
e
rg
y
,
v
o
l
.
2
3
1
,
p
p
.
2
0
7
-
2
2
1
,
De
c
.
2
0
1
8
.
[7
]
O.
B.
Ad
e
wu
y
i
e
t
a
l
.,
“
S
e
c
u
rit
y
-
c
o
n
stra
in
e
d
o
p
ti
m
a
l
u
ti
li
ty
-
sc
a
le
so
lar
P
V
in
v
e
stm
e
n
t
p
lan
n
in
g
fo
r
we
a
k
g
rid
s:
S
h
o
r
t
re
v
iew
s a
n
d
tec
h
n
o
-
e
c
o
n
o
m
ic an
a
ly
sis
,
”
Ap
p
li
e
d
En
e
rg
y
,
v
o
l.
2
4
5
,
p
p
.
1
6
-
3
0
,
Ju
l
.
2
0
1
9
.
[8
]
E.
Ra
k
h
s
h
a
n
i
e
t
a
l
.,
“
In
teg
ra
ti
o
n
o
f
Larg
e
-
S
c
a
le
PV
-
Ba
se
d
G
e
n
e
ra
ti
o
n
in
t
o
P
o
we
r
S
y
ste
m
s:
A
S
u
r
v
e
y
,
”
En
e
rg
ies
,
v
o
l.
1
2
,
p
p
.
1
-
1
9
,
2
0
1
9
.
[9
]
Q.
Alsa
fa
sfe
h
e
t
a
l
.,
“
S
o
lar P
V G
rid
P
o
we
r
F
lo
w
An
a
ly
sis,”
S
u
st
a
in
a
b
il
i
ty
,
v
o
l.
1
1
,
n
o
.
6
,
p
p
.
1
-
2
5
,
2
0
1
9
.
[1
0
]
A.
P
a
rid
a
e
t
a
l
.
,
“
An
imp
r
o
v
e
d
c
o
n
tro
l
sc
h
e
m
e
fo
r
g
ri
d
c
o
n
n
e
c
ted
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
c
o
n
sid
e
ri
n
g
win
d
-
so
lar
h
y
b
rid
sy
ste
m
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
Po
w
e
r
&
En
e
rg
y
S
y
ste
ms
,
v
o
l.
7
7
,
p
p
.
1
1
2
-
1
2
2
,
2
0
1
6
.
[1
1
]
P.
M
.
Ari
y
a
ra
tn
a
e
t
a
l
.,
“
Th
e
sim
u
lt
a
n
e
o
u
s
m
it
ig
a
ti
o
n
o
f
slo
w
a
n
d
fa
st
v
o
lt
a
g
e
fl
u
c
tu
a
ti
o
n
s
c
a
u
se
d
b
y
ro
o
fto
p
so
lar
P
V
b
y
c
o
n
tro
l
li
n
g
t
h
e
c
h
a
rg
i
n
g
/
d
isc
h
a
rg
i
n
g
o
f
a
n
i
n
teg
ra
ted
b
a
tt
e
ry
e
n
e
rg
y
sto
ra
g
e
sy
ste
m
,
”
J
o
u
rn
a
l
o
f
En
e
rg
y
S
to
ra
g
e
,
v
o
l
.
2
6
,
De
c
.
2
0
1
9
.
[1
2
]
H.
Ch
e
n
e
t
a
l
.,
“
As
se
ss
m
e
n
t
a
n
d
p
a
ra
m
e
tri
c
a
n
a
ly
sis
o
f
s
o
lar
tri
g
e
n
e
ra
ti
o
n
sy
ste
m
in
teg
ra
ti
n
g
p
h
o
to
v
o
lt
a
ic
t
h
e
rm
a
l
c
o
ll
e
c
to
rs
with
t
h
e
rm
a
l
e
n
e
rg
y
st
o
ra
g
e
u
n
d
e
r
ti
m
e
-
of
-
u
se
e
lec
tri
c
it
y
p
ricin
g
,
”
S
o
l
a
r
En
e
rg
y
,
v
o
l.
2
0
6
,
p
p
.
8
7
5
-
8
9
9
,
Au
g
.
2
0
2
0
.
[1
3
]
O.
B.
Ad
e
wu
y
i
e
t
a
l
.,
“
M
u
lt
i
o
b
jec
ti
v
e
m
ix
g
e
n
e
ra
ti
o
n
p
lan
n
i
n
g
c
o
n
s
id
e
rin
g
u
ti
li
t
y
-
sc
a
le
so
lar
P
V
s
y
st
e
m
a
n
d
v
o
lt
a
g
e
sta
b
il
it
y
:
Nig
e
rian
c
a
se
stu
d
y
,
”
El
e
c
tric P
o
we
r S
y
ste
ms
Res
e
a
rc
h
,
v
o
l.
1
6
8
,
p
p
.
2
6
9
-
2
8
2
,
M
a
r.
2
0
1
9
.
[1
4
]
M
.
M
o
h
a
n
a
n
e
t
a
l
.
,
“
Op
ti
m
ize
d
P
o
we
r
S
y
ste
m
M
a
n
a
g
e
m
e
n
t
S
c
h
e
m
e
fo
r
LS
S
P
V
G
rid
I
n
te
g
ra
ti
o
n
in
M
a
lay
sia
Us
in
g
Re
a
c
ti
v
e
P
o
we
r
Co
m
p
e
n
sa
ti
o
n
Tec
h
n
iq
u
e
,
”
Glo
b
a
l
Ch
a
ll
e
n
g
e
s
,
v
o
l
.
4
,
n
o
.
4
,
p
p
.
1
-
1
2
,
A
p
r.
2
0
2
0
.
[1
5
]
H.
Ra
u
f
e
t
a
l
.,
“
Co
m
p
lem
e
n
ti
n
g
h
y
d
ro
e
lec
tri
c
p
o
we
r
with
fl
o
a
ti
n
g
so
lar
P
V
fo
r
d
a
y
ti
m
e
p
e
a
k
e
lec
tri
c
it
y
d
e
m
a
n
d
,
”
Ren
e
wa
b
le E
n
e
rg
y
,
v
o
l.
1
6
2
,
p
p
.
1
2
2
7
-
1
2
4
2
,
A
u
g
.
2
0
2
0
.
[1
6
]
S.
R.
S
a
lk
u
ti
,
“
Co
m
p
a
ra
ti
v
e
a
n
a
ly
sis
o
f
e
lec
tro
c
h
e
m
ica
l
e
n
e
rg
y
st
o
r
a
g
e
tec
h
n
o
l
o
g
ies
fo
r
sm
a
rt
g
ri
d
,
”
T
EL
KOM
NIK
A
T
e
lec
o
mm
u
n
ica
ti
o
n
,
Co
m
p
u
t
in
g
,
El
e
c
tro
n
ics
a
n
d
C
o
n
tro
l
,
v
o
l.
1
8
,
n
o
.
4
,
p
p
.
2
1
1
8
-
2
1
2
4
,
A
u
g
.
2
0
2
0
.
[1
7
]
O
.
G
a
rfi
e
t
a
l
.
,
“
Im
p
a
c
ts
o
f
p
h
o
to
v
o
lt
a
ic
p
o
we
r
so
u
rc
e
in
term
it
ten
c
e
o
n
a
d
istri
b
u
ti
o
n
n
e
two
r
k
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
ri
ng
, v
o
l.
9
,
n
o.
6
,
p
p
.
5
1
3
4
-
5
1
4
2
,
De
c
.
2
0
1
9
.
[1
8
]
R.
O.
Ba
wa
z
ir
e
t
a
l
.,
“
Co
m
p
re
h
e
n
siv
e
o
v
e
rv
iew
o
f
o
p
t
imiz
in
g
P
V
-
DG
a
ll
o
c
a
ti
o
n
i
n
p
o
we
r
sy
ste
m
a
n
d
so
lar
e
n
e
rg
y
re
so
u
rc
e
p
o
te
n
ti
a
l
a
ss
e
ss
m
e
n
ts,”
En
e
rg
y
Rep
o
rts
,
v
o
l.
6
,
p
p
.
1
7
3
-
2
0
8
,
N
o
v
.
2
0
2
0
.
[1
9
]
T.
S
a
rk
a
r
e
t
a
l
.
,
“
Op
ti
m
a
l
d
e
si
g
n
a
n
d
im
p
lem
e
n
tatio
n
o
f
so
lar
P
V
-
wi
n
d
-
b
io
g
a
s
-
VRFB
sto
ra
g
e
i
n
teg
ra
t
e
d
sm
a
rt
h
y
b
rid
m
icro
g
rid
f
o
r
e
n
su
ri
n
g
z
e
ro
l
o
ss
o
f
p
o
we
r
su
p
p
l
y
p
r
o
b
a
b
il
it
y
,
”
En
e
rg
y
Co
n
v
e
rs
io
n
a
n
d
M
a
n
a
g
e
me
n
t
,
v
o
l.
1
9
1
,
p
p
.
1
0
2
-
1
1
8
,
Ju
l
.
2
0
1
9
.
[2
0
]
E.
L.
d
e
Ag
u
iar
e
t
a
l
.
,
“
Distrib
u
te
d
Re
n
e
wa
b
le
P
o
we
r
S
o
u
rc
e
s
in
Wea
k
G
rid
s
-
An
a
l
y
sis
a
n
d
C
o
n
tr
o
l,
”
I
n
tec
h
Op
e
n
,
M
a
y
2
0
1
6
.
[2
1
]
M
.
I.
Ab
u
a
sh
o
u
r
e
t
a
l
.
,
“
Op
e
ra
ti
o
n
a
l
p
e
rfo
rm
a
n
c
e
o
f
a
P
V
g
e
n
e
ra
to
r
fe
e
d
in
g
DC
sh
u
n
t
a
n
d
i
n
d
u
c
ti
o
n
m
o
t
o
rs
with
MPPT
,
”
I
n
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
,
v
o
l.
9
,
n
o.
2
,
p
p
.
7
7
1
-
7
8
2
,
Ap
r
.
2
0
1
9
.
[2
2
]
H.
Hä
b
e
rli
n
,
“
P
h
o
to
v
o
lt
a
ics
sy
ste
m
d
e
sig
n
a
n
d
p
ra
c
ti
c
e
,
”
J
o
h
n
W
il
e
y
&
S
o
n
s
,
2
0
1
2
.
[2
3
]
H.
Li
e
t
a
l
.,
“
Th
re
e
-
lay
e
r
v
o
lt
a
g
e
/v
a
r
c
o
n
tro
l
stra
teg
y
fo
r
P
V
c
l
u
ste
r
c
o
n
sid
e
ri
n
g
ste
a
d
y
-
sta
te
v
o
lt
a
g
e
sta
b
il
it
y
,
”
J
o
u
rn
a
l
o
f
Clea
n
e
r P
ro
d
u
c
ti
o
n
,
v
o
l.
2
1
7
,
p
p
.
5
6
-
6
8
,
Ap
r
.
2
0
1
9
.
[2
4
]
A
.
Be
n
a
li
e
t
a
l
.
,
“
Vo
lt
a
g
e
p
r
o
fil
e
a
n
d
p
o
we
r
q
u
a
li
ty
imp
r
o
v
e
m
e
n
t
i
n
p
h
o
to
v
o
l
taic
fa
rm
s
in
te
g
ra
ted
m
e
d
iu
m
v
o
lt
a
g
e
g
rid
u
sin
g
d
y
n
a
m
ic
v
o
l
tag
e
re
sto
r
e
r,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
w
e
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
,
v
o
l.
1
1
,
n
o
.
3
,
p
p
.
1
4
8
1
-
1
4
9
0
,
S
e
p
t
.
2
0
2
0
.
[2
5
]
K.
P
a
d
m
a
n
a
t
h
a
n
e
t
a
l
.
,
“
In
te
g
ra
ti
n
g
so
lar
p
h
o
t
o
v
o
lt
a
ic
e
n
e
rg
y
c
o
n
v
e
rsio
n
sy
ste
m
s
i
n
to
i
n
d
u
strial
a
n
d
c
o
m
m
e
rc
ial
e
lec
tri
c
a
l
e
n
e
rg
y
u
ti
li
z
a
ti
o
n
-
A su
r
v
e
y
,
”
J
o
u
rn
a
l
o
f
In
d
u
stri
a
l
I
n
fo
r
ma
ti
o
n
In
teg
ra
ti
o
n
,
v
o
l.
1
0
,
p
p
.
3
9
-
5
4
,
Ju
n
.
2
0
1
8
.
[2
6
]
R.
M
e
e
n
a
l
e
t
a
l.
,
“
Re
v
iew
o
n
m
a
th
e
m
a
ti
c
a
l
m
o
d
e
ls
fo
r
th
e
p
re
d
i
c
ti
o
n
o
f
S
o
lar
ra
d
iati
o
n
,
”
In
d
o
n
e
sia
n
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
En
g
in
e
e
rin
g
a
n
d
Co
m
p
u
ter
S
c
ien
c
e
,
v
o
l.
1
5
,
n
o
.
1
,
p
p
.
5
4
-
5
9
,
Ju
l
.
2
0
1
9
.
[2
7
]
S.
A.
Ale
e
m
e
t
a
l
.,
“
A
Re
v
iew
o
f
S
trate
g
ies
to
In
c
re
a
se
P
V
P
e
n
e
tratio
n
Lev
e
l
i
n
S
m
a
rt
G
rid
s,”
En
e
rg
ies
,
v
o
l.
1
3
,
n
o
.
3
,
2
0
2
0
.
[2
8
]
S
.
Ha
sh
e
m
i
e
t
a
l
.
,
“
M
e
th
o
d
s a
n
d
s
trate
g
ies
fo
r
o
v
e
rv
o
lt
a
g
e
p
re
v
e
n
ti
o
n
i
n
l
o
w v
o
lt
a
g
e
d
istri
b
u
ti
o
n
s
y
st
e
m
s with
P
V,”
IET
Ren
e
wa
b
le P
o
we
r Ge
n
e
ra
ti
o
n
, v
o
l.
1
1
,
n
o
.
2
,
p
p
.
2
0
5
-
2
1
4
,
2
0
1
7
.
[2
9
]
D.
Alm
e
id
a
e
t
a
l
.
,
“
M
it
i
g
a
ti
o
n
o
f
o
v
e
r
v
o
lt
a
g
e
d
u
e
to
h
i
g
h
p
e
n
e
trat
io
n
o
f
s
o
lar
p
h
o
t
o
v
o
lt
a
ics
u
si
n
g
sm
a
rt
in
v
e
rters
v
o
lt
/
v
a
r
c
o
n
tro
l
,
”
In
d
o
n
e
si
a
n
J
o
u
r
n
a
l
o
f
El
e
c
trica
l
E
n
g
in
e
e
rin
g
a
n
d
Co
mp
u
ter
S
c
ien
c
e
,
v
o
l.
1
9
,
n
o
.
3
,
p
p
.
1
2
5
9
-
1
2
6
6
,
S
e
p
t
.
2
0
2
0
.
[3
0
]
S
.
Na
ra
sim
h
a
e
t
a
l.
,
“
An
imp
ro
v
e
d
c
lo
se
d
l
o
o
p
h
y
b
ri
d
p
h
a
se
sh
ift
c
o
n
tr
o
ll
e
r
f
o
r
d
u
a
l
a
c
ti
v
e
b
ri
d
g
e
c
o
n
v
e
rter
,
”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
,
v
o
l.
1
0
,
n
o
.
2
,
p
p
.
1
1
6
9
-
1
1
7
8
,
A
p
r.
2
0
2
0
.
[3
1
]
R.
M
a
h
a
t
e
t
a
l
.,
“
Tec
h
n
o
-
Ec
o
n
o
m
ic
An
a
ly
sis
o
f
P
V
In
v
e
rter
Co
n
tro
ll
e
rs
fo
r
P
re
v
e
n
ti
n
g
Ov
e
r
v
o
lt
a
g
e
in
LV
G
rid
s,”
In
ter
n
a
t
io
n
a
l
S
y
mp
o
si
u
m
o
n
P
o
w
e
r
El
e
c
tro
n
ics
,
El
e
c
trica
l
Dr
ive
s,
Au
to
m
a
ti
o
n
a
n
d
M
o
ti
o
n
,
S
o
rre
n
t
o
,
Italy
,
2
0
2
0
,
p
p
.
5
0
2
-
5
0
7
.
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