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I
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1032
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e
p
o
w
er
cir
cu
i
t
i
s
co
m
p
lica
ted
b
y
t
h
e
i
n
cr
ea
s
e
in
t
h
e
v
o
ltag
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lev
el
s
t
h
at
i
s
n
ec
es
s
ar
y
f
o
r
a
m
u
l
tile
v
el
in
v
er
ter
.
Fo
r
a
s
in
g
le
-
p
h
ase
s
ev
e
n
-
lev
el
i
n
v
er
ter
,
1
2
p
o
w
er
ele
ctr
o
n
ic
s
w
itc
h
es
ar
e
r
eq
u
ir
ed
in
b
o
th
th
e
d
io
d
e
-
cla
m
p
ed
an
d
th
e
f
l
y
i
n
g
-
ca
p
ac
it
o
r
to
p
o
lo
g
i
es.
As
y
m
m
etr
ic
v
o
ltag
e
tech
n
o
lo
g
y
i
s
u
s
ed
i
n
t
h
e
ca
s
ca
d
e
H
-
b
r
id
g
e
m
u
ltil
e
v
el
i
n
v
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ter
to
allo
w
m
o
r
e
lev
els
o
f
o
u
tp
u
t
v
o
lta
g
e
[
1
7
]
,
s
o
th
e
ca
s
ca
d
e
H
-
b
r
id
g
e
m
u
lti
lev
el
i
n
v
er
ter
is
s
u
itab
le
f
o
r
ap
p
licatio
n
s
w
it
h
in
cr
ea
s
ed
v
o
lta
g
e
lev
el
s
.
T
w
o
H
-
b
r
id
g
e
in
v
er
ter
s
w
it
h
a
DC
b
u
s
v
o
ltag
e
o
f
m
u
l
t
ip
le
r
elatio
n
s
h
ip
s
ca
n
b
e
co
n
n
ec
ted
in
ca
s
ca
d
e
to
p
r
o
d
u
ce
a
s
in
g
le
-
p
h
a
s
e
s
ev
e
n
-
lev
el
in
v
er
ter
a
n
d
ei
g
h
t
p
o
w
er
elec
tr
o
n
ic
s
w
itc
h
es
ar
e
u
s
ed
.
Mo
r
e
r
ec
en
tl
y
,
v
ar
io
u
s
n
o
v
el
to
p
o
lo
g
ies
f
o
r
s
ev
e
n
-
le
v
el
i
n
v
er
ter
s
h
a
v
e
b
e
en
p
r
o
p
o
s
ed
.
Fo
r
ex
a
m
p
le,
a
s
in
g
le
-
p
h
a
s
e
s
e
v
e
n
-
le
v
el
g
r
id
-
co
n
n
ec
ted
i
n
v
er
ter
h
as
b
ee
n
d
e
v
elo
p
ed
f
o
r
a
p
h
o
to
v
o
ltaic
s
y
s
te
m
[
1
8
]
.
T
h
is
s
ev
e
n
-
lev
el
g
r
id
-
co
n
n
ec
ted
i
n
v
er
ter
co
n
tai
n
s
s
i
x
p
o
w
er
elec
tr
o
n
ic
s
w
i
tch
e
s
.
Ho
w
e
v
er
,
th
r
ee
D
C
ca
p
ac
ito
r
s
ar
e
u
s
ed
to
co
n
s
tr
u
ct
th
e
th
r
ee
v
o
ltag
e
lev
el
s
,
w
h
ich
r
esu
lt
s
in
t
h
at
b
alan
ci
n
g
t
h
e
v
o
ltag
e
s
o
f
th
e
ca
p
ac
ito
r
s
is
m
o
r
e
co
m
p
le
x
.
I
n
[
1
9
]
,
a
s
ev
en
-
le
v
el
i
n
v
er
ter
to
p
o
lo
g
y
,
co
n
f
i
g
u
r
ed
b
y
a
le
v
e
l g
en
er
atio
n
p
ar
t a
n
d
a
p
o
lar
it
y
g
e
n
er
atio
n
p
ar
t,
is
p
r
o
p
o
s
ed
.
Fig
u
r
e
1
.
C
o
n
f
ig
u
r
atio
n
o
f
T
h
e
E
x
is
ti
n
g
So
lar
P
o
w
er
Ge
n
er
atio
n
S
y
s
te
m
T
h
er
e,
o
n
l
y
p
o
w
er
elec
tr
o
n
ic
s
w
itc
h
es
o
f
t
h
e
lev
e
l
g
en
er
ati
o
n
p
ar
t
s
w
i
tch
i
n
h
i
g
h
f
r
eq
u
e
n
c
y
,
b
u
t
ten
p
o
w
er
elec
tr
o
n
ic
s
w
itc
h
e
s
an
d
th
r
ee
DC
ca
p
ac
ito
r
s
ar
e
u
s
ed
.
I
n
[
2
0
]
,
a
m
o
d
u
lar
m
u
ltil
e
v
el
in
v
er
ter
w
it
h
a
n
e
w
m
o
d
u
latio
n
m
et
h
o
d
is
ap
p
lied
to
th
e
p
h
o
to
v
o
lt
aic
g
r
id
-
co
n
n
ec
ted
g
en
er
ato
r
.
T
h
e
m
o
d
u
lar
m
u
ltil
e
v
el
i
n
v
er
ter
is
s
i
m
ilar
to
th
e
ca
s
ca
d
e
H
-
b
r
id
g
e
t
y
p
e.
Fo
r
th
is
,
a
n
e
w
m
o
d
u
latio
n
m
e
th
o
d
is
p
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o
p
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ed
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ac
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d
y
n
a
m
ic
ca
p
ac
ito
r
v
o
ltag
e
b
alan
ce
.
I
n
[
2
1
]
,
a
m
u
ltil
e
v
el
D
C
-
li
n
k
i
n
v
er
ter
i
s
p
r
esen
ted
to
o
v
er
c
o
m
e
th
e
p
r
o
b
lem
o
f
p
ar
tial
s
h
ad
i
n
g
o
f
i
n
d
iv
id
u
al
p
h
o
to
v
o
ltaic
s
o
u
r
ce
s
t
h
at
ar
e
co
n
n
ec
ted
i
n
s
er
ie
s
.
T
h
e
DC
b
u
s
o
f
a
f
u
ll
-
b
r
id
g
e
in
v
er
ter
i
s
co
n
f
i
g
u
r
ed
b
y
s
e
v
er
al
in
d
iv
id
u
al
D
C
b
lo
ck
s
,
wh
er
e
ea
ch
D
C
b
lo
ck
is
co
m
p
o
s
ed
o
f
a
s
o
lar
ce
ll,
a
p
o
w
er
elec
tr
o
n
ic
s
w
i
t
ch
,
a
n
d
a
d
io
d
e.
C
o
n
tr
o
llin
g
t
h
e
p
o
w
er
elec
tr
o
n
ic
s
o
f
t
h
e
D
C
b
l
o
ck
s
w
ill
r
e
s
u
l
t
in
a
m
u
ltil
e
v
el
DC
-
l
in
k
v
o
lta
g
e
t
o
s
u
p
p
l
y
a
f
u
ll
-
b
r
id
g
e
i
n
v
er
ter
an
d
to
s
i
m
u
lta
n
eo
u
s
l
y
o
v
er
co
m
e
t
h
e
p
r
o
b
lem
s
o
f
p
ar
tial
s
h
ad
in
g
o
f
in
d
i
v
id
u
al
p
h
o
to
v
o
ltaic
s
o
u
r
ce
s
.
T
h
e
ab
o
v
e
l
iter
at
u
r
e
d
o
es
n
o
t
d
ea
l
w
i
th
b
o
o
s
t
SEP
I
C
f
ed
n
in
e
le
v
el
i
n
v
er
ter
.
T
h
is
w
o
r
k
p
r
o
p
o
s
es b
o
o
s
t SE
P
I
C
co
n
v
er
ter
b
et
w
ee
n
P
V
an
d
in
v
er
ter
.
T
h
is
p
ap
er
p
r
o
p
o
s
es
a
n
e
w
s
o
lar
p
o
w
er
g
e
n
er
atio
n
s
y
s
te
m
.
T
h
e
p
r
o
p
o
s
ed
s
o
lar
p
o
w
er
g
en
er
atio
n
s
y
s
te
m
is
co
m
p
o
s
ed
o
f
a
D
C
/D
C
p
o
w
er
co
n
v
er
ter
a
n
d
a
n
i
n
e
-
lev
el
i
n
v
er
ter
.
T
h
e
n
i
n
e
-
lev
el
in
v
er
ter
i
s
co
n
f
i
g
u
r
ed
u
s
i
n
g
a
ca
p
ac
ito
r
s
elec
tio
n
cir
cu
i
t
an
d
a
f
u
ll
-
b
r
id
g
e
p
o
w
er
co
n
v
er
ter
,
co
n
n
ec
ted
in
ca
s
ca
d
e.
T
h
e
n
in
e
-
lev
e
l
in
v
er
ter
co
n
tain
s
o
n
l
y
ei
g
h
t
p
o
w
er
ele
ctr
o
n
ic
s
w
itc
h
es,
w
h
ic
h
s
i
m
p
l
i
f
ies
t
h
e
cir
cu
it
co
n
f
i
g
u
r
atio
n
.
2.
CIRCU
I
T
CO
NF
I
G
URA
T
I
O
N
Fig
u
r
e
1
s
h
o
w
s
t
h
e
co
n
f
i
g
u
r
at
io
n
o
f
t
h
e
e
x
is
tin
g
s
o
lar
p
o
w
er
g
en
er
at
io
n
s
y
s
te
m
.
T
h
e
p
r
o
p
o
s
ed
s
o
lar
p
o
w
er
g
en
er
atio
n
s
y
s
te
m
is
co
m
p
o
s
ed
o
f
a
s
o
lar
ce
ll
ar
r
ay
,
a
DC
–
DC
p
o
w
er
co
n
v
er
ter
,
an
d
a
n
e
w
n
i
n
e
-
le
v
el
in
v
er
ter
.
T
h
e
s
o
lar
ce
ll
ar
r
ay
is
co
n
n
ec
ted
to
th
e
DC
–
DC
p
o
w
er
co
n
v
er
ter
,
an
d
th
e
D
C
–
DC
p
o
w
er
co
n
v
er
ter
is
a
b
o
o
s
t
co
n
v
er
ter
ca
s
ca
d
ed
w
i
th
SEP
I
C
.
T
h
e
DC
–
DC
p
o
w
er
co
n
v
er
ter
co
n
v
er
ts
t
h
e
o
u
tp
u
t
p
o
w
er
o
f
th
e
s
o
lar
ce
ll
ar
r
ay
in
to
t
w
o
in
d
e
p
en
d
en
t
v
o
lta
g
e
s
o
u
r
ce
s
w
it
h
m
u
ltip
le
r
elatio
n
s
h
ip
s
,
w
h
ich
ar
e
s
u
p
p
lied
to
th
e
n
in
e
lev
el
i
n
v
er
ter
.
T
h
is
n
e
w
n
in
e
-
le
v
el
i
n
v
er
ter
is
b
r
id
g
e
p
o
w
er
co
n
v
er
ter
,
co
n
n
ec
ted
in
a
ca
s
ca
d
e.
T
h
e
p
o
w
er
elec
tr
o
n
ic
s
w
itc
h
es
o
f
ca
p
ac
ito
r
s
elec
tio
n
cir
c
u
it
d
et
er
m
in
e
th
e
d
is
c
h
ar
g
e
o
f
t
h
e
t
w
o
ca
p
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ito
r
s
w
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e
t
w
o
ca
p
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b
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ch
ar
g
ed
in
d
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v
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ll
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r
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s
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s
.
B
ec
au
s
e
o
f
th
e
m
u
l
tip
le
r
elatio
n
s
h
ip
s
Evaluation Warning : The document was created with Spire.PDF for Python.
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et
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v
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r
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tp
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t
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l
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v
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f
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I
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th
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w
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th
e
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r
o
p
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o
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en
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g
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ate
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a
s
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t
cu
r
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th
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t
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h
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o
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Fig
u
r
e
2
.
B
lo
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Diag
r
a
m
o
f
P
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p
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s
ed
Sy
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te
m
3.
SI
M
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AT
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u
la
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an
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esen
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T
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B
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FML
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m
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it
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R
lo
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o
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Fi
g
u
r
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3
.
1
.
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h
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tp
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f
t
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s
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lar
s
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m
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1
5
v
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S
[1
]
R.
A
.
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a
stro
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.
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a
n
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o
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J.S
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L
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M
.
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M.
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.
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u
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[6
]
K.
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g
a
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Ak
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tes
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.
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a
v
e
s,
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M
a
rg
a
to
,
J.
F
.
S
il
v
a
,
a
n
d
S
.
F
.
P
in
t
o
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Ne
w
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ro
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lt
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e
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lan
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g
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,
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tro
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4
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8
9
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0
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0
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0
]
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Ba
rro
s,
J.F
.
A
.
S
il
v
a
,
a
n
d
E.
G
.
A
J
e
su
s,
“
F
a
st
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p
re
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o
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v
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l
c
o
n
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ters
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,
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T
ra
n
s.
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n
d
.
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tro
n
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l.
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7
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.
2
0
1
3
.
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1
]
A
.
K.
S
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ig
h
,
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.
H.
Ho
ss
e
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i,
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.
S
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b
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h
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n
d
G
.
B.
G
h
a
re
h
p
e
ti
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n
,
“
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u
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l
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latio
n
”
,
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T
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n
s.
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we
r
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tro
n
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l
.
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5
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o
.
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n
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2
0
1
0
.
[1
2
]
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.
T
h
iele
m
a
n
s,
A
.
Ru
d
e
rm
a
n
,
B.
Re
z
n
ik
o
v
,
a
n
d
J.
M
e
lk
e
b
e
e
k
,
“
Im
p
ro
v
e
d
n
a
tu
ra
l
b
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lan
c
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w
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h
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h
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sh
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ted
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f
o
r
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f
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p
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it
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v
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”
,
IEE
E
T
ra
n
s.
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n
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l.
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4
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.
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3
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S
.
Ch
o
i
a
n
d
M
.
S
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e
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d
if
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rd
,
“
Ca
p
a
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it
o
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v
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lt
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to
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W
M
”
,
IEE
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T
ra
n
s.
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ry
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.
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1
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l.
2
0
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[1
4
]
L
.
M
a
h
a
rjan
,
T
.
Ya
m
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g
ish
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n
d
H.
A
k
a
g
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ti
v
e
-
p
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,
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EE
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.
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.
3
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0
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5
]
X
.
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.
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Hu
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.
Zh
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o
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ters
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,
IEE
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ra
n
s.
P
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1037
[1
6
]
J.
Ch
a
v
a
rria,
D.
Biel,
F
.
G
u
in
jo
a
n
,
C.
M
e
z
a
,
a
n
d
J.J.
Ne
g
ro
n
i,
“
En
e
rg
y
-
b
a
lan
c
e
c
o
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tro
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o
f
P
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sh
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ted
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W
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s”
,
IEE
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T
r
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n
s.
I
n
d
.
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e
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tro
n
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o
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p
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8
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n
.
2
0
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.
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7
]
J.
P
e
re
d
a
a
n
d
J.
Dix
o
n
,
“
Hig
h
-
f
r
e
q
u
e
n
c
y
li
n
k
:
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ly
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sy
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m
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c
c
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s
c
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d
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d
m
u
lt
il
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v
e
l
in
v
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rters
”
,
IEE
E
T
ra
n
s
.
In
d
.
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tro
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,
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l
.
5
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.
9
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.
2
0
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1
.
[1
8
]
N.A
.
R
a
h
im
,
K.
Ch
a
n
iag
o
,
a
n
d
J.
S
e
lv
a
r
a
j,
“
S
in
g
le
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p
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se
v
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in
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fo
r
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h
o
to
v
o
l
taic
s
y
ste
m
”
,
IEE
E
T
ra
n
s.
I
n
d
.
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c
tr.
,
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o
l.
5
8
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o
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p
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4
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5
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n
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0
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1
.
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9
]
Y.
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n
e
jj
a
r,
K.
A
l
-
Ha
d
d
e
d
,
a
n
d
L
.
A
.
De
ss
a
in
t,
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A
n
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tal
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n
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,
IEE
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ra
n
s.
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d
.
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n
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6
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0
]
J.
M
e
i,
B.
X
iao
,
K.
S
h
e
n
,
a
n
d
L
.
M
.
Jia
n
Yo
n
g
Zh
e
n
g
,
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M
o
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lar
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l
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h
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ra
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r”
,
IE
EE
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ra
n
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r
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.
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1
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I.
A
b
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ll
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,
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Co
rd
a
,
a
n
d
L
.
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n
g
,
“
M
u
lt
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e
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o
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e
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V
p
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sh
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g
”
,
IEE
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T
ra
n
s.
P
o
we
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tro
n
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p
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n
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.
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2
]
J.M
.
S
h
e
n
,
H.L
.
Jo
u
,
a
n
d
J.C.
W
u
,
“
No
v
e
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o
r
m
e
r
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les
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c
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m
”
,
IEE
E
T
ra
n
s.
Po
w
e
r
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tro
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9
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2
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.
[2
3
]
R.
G
o
n
z
a
lez
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J.
L
o
p
e
z
,
P
.
S
a
n
c
h
is,
a
n
d
L
.
M
a
rro
y
o
,
“
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ra
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o
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rles
s
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g
le
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m
s”
,
IEE
E
T
ra
n
s.
P
o
we
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l
.
2
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,
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6
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a
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0
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.
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4
]
N.
F
e
m
ia,
G
.
P
e
tro
n
e
,
G
.
S
p
a
g
n
u
o
lo
,
a
n
d
M
.
V
it
e
ll
i,
“
Op
ti
m
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n
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e
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m
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o
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e
r
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t
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g
m
e
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o
d
”
,
IEE
E
T
ra
n
s.
P
o
we
r
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tro
n
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v
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l.
2
0
,
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o
.
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,
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p
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l
.
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.
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G
RAP
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AUTH
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RS
D.
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s
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in
A
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ly
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t
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t.
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ters
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rsity
,
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e
n
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re
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c
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tere
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tro
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IEE
E,
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G
,
a
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CS
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.
He
h
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s rec
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r
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lso
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l
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h
e
y
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a
rs 2
0
1
3
&
2
0
1
4
re
sp
e
c
ti
v
e
ly
.
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