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n
t
elec
tr
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p
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w
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g
en
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.
I
n
[
1
]
p
r
esen
ted
a
m
o
d
el
o
f
t
h
e
u
ti
lizat
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m
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I
n
[
2
]
,
[
3
]
p
r
esen
ted
a
P
V
in
v
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ter
is
g
en
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all
y
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s
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4
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A
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in
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w
h
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in
[
5
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T
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Qu
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8
694
IJ
PEDS
Vo
l.
7
,
No
.
3
,
Sep
tem
b
er
2
0
1
6
:
601
–
6
0
8
602
T
h
e
p
r
o
p
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s
ed
f
r
a
m
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clu
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th
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B
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b
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g
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litar
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tag
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s
cu
s
s
e
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in
[
6
]
,
[
7
]
.
2.
Q
UA
SI
Z
–
SO
UR
CE
I
NVE
RT
E
R
T
h
e
Qu
asi
Z
-
So
u
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ce
in
v
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u
lar
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ta
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p
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In
[
8
]
d
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d
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m
p
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[
9
]
.
I
t
m
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r
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v
er
i
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co
r
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r
ates
b
r
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g
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[
1
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[
1
1
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Fig
u
r
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ates
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ig
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2
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I
t o
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u
r
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1
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Fig
u
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2
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Sh
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t th
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ir
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it
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1
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p
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atter
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lar
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h
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ter
b
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t
h
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C
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ale
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ter
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h
m
ak
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e
Q
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SI
b
eh
a
v
e
s
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m
ilar
to
a
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Ass
u
m
e
th
at,
T
Z
=T
a
+
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b
(
S
w
itc
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g
p
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(
1
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f
r
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th
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ale
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r
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t d
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ail
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le
a
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e
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n
p
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t to
t
h
e
in
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ter
s
h
o
w
n
in
F
ig
u
r
e
3
,
w
h
ich
m
a
k
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th
e
Q
Z
SI
b
eh
a
v
e
s
i
m
ilar
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Fig
u
r
e
3
.
No
n
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S
h
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o
t th
r
o
u
g
h
E
q
u
iv
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n
t C
ir
cu
it
T
h
u
s
Q
Z
SI
ac
q
u
ir
es
all
t
h
e
u
p
s
id
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o
f
t
h
e
Z
SI.
I
t
ca
n
b
u
ck
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r
s
u
p
p
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r
t
a
v
o
lta
g
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h
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g
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el
p
v
ar
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le.
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t
ca
n
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s
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o
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o
lid
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n
t
h
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s
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ar
y
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.
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t
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s
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tles
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d
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SI
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co
n
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ted
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it
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3.
SI
NU
SO
I
DA
L
P
UL
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W
I
D
T
H
M
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DULAT
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O
N
Sin
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t
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ter
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ted
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g
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th
er
lo
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er
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r
u
p
p
er
th
r
ee
s
w
itc
h
es
talk
ed
ab
o
u
t
i
n
[
1
2
]
.
T
h
ese
ag
g
r
e
g
ate
ei
g
h
t
e
x
c
h
an
g
i
n
g
s
tates
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n
d
t
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b
len
d
s
h
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e
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ee
n
m
ad
e
d
if
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er
e
n
t
P
W
M
co
n
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l
o
r
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i
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s
.
Si
n
u
s
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M
is
t
h
e
m
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f
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t
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P
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ap
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a
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ar
t
o
f
th
e
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T
h
en
ag
ai
n
,
QZ
SI
h
as
ex
tr
a
ze
r
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ec
to
r
s
o
r
s
h
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o
t
th
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h
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n
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icate
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at
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n
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m
a
g
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n
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le
in
s
ta
n
d
ar
d
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.
Fo
r
a
y
ield
v
o
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g
e
b
e
g
o
tte
n
,
a
s
h
o
o
t
th
r
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u
g
h
s
ta
te
o
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g
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t
to
d
ep
en
d
ab
ly
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e
tr
ailed
b
y
co
m
p
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n
e
n
t
s
tate.
T
h
r
ee
p
h
ase
i
n
v
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ter
m
u
s
t b
e
co
n
tr
o
lled
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o
th
at
at
n
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ti
m
e
b
o
t
h
th
e
s
w
itc
h
es
in
t
h
e
s
a
m
e
leg
ar
e
tu
r
n
ed
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n
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r
else
t
h
e
D
C
s
u
p
p
l
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ld
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e
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ted
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.
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
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:
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8
694
IJ
PEDS
Vo
l.
7
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3
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Sep
tem
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2
0
1
6
:
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0
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604
r
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elate
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4.
SPAC
E
V
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C
T
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R
M
O
DULAT
I
O
N
Sp
ac
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v
ec
to
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eq
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aliza
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S
VM
)
w
a
s
at
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ir
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ad
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s
v
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to
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ap
p
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io
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f
o
r
th
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ee
p
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s
e
i
n
v
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ter
.
In
[
1
3
]
p
r
esen
ted
a
b
est
tec
h
n
iq
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e
f
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r
cr
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ic.
I
n
[
1
4
]
p
r
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SVM
s
y
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te
m
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m
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p
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Fi
g
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r
e
4.
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ix
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o
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s
w
itc
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t
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d
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.
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ted
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h
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ig
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et
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n
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f
f
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d
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ate
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a
y
.
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h
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m
p
ts
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h
t
co
n
ce
i
v
ab
le
ex
ch
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g
in
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v
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r
s
f
o
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th
e
i
n
v
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ter
,
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th
r
o
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g
h
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w
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h
s
ix
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g
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n
g
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d
t
w
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s
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te
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ag
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ield
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n
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y
1
2
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eg
r
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o
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te
s
p
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ch
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w
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h
a
r
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f
s
(
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1
/f
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)
.
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e
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ig
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m
a
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cr
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f
r
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th
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ep
ar
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tag
e
r
ef
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e
n
ce
s
u
s
in
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t
h
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α
βγ
ch
a
n
g
e.
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h
e
r
ef
er
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ce
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to
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i
s
t
h
e
n
co
n
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o
lid
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a
m
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t
w
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d
y
n
a
m
ic
tr
ad
in
g
v
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to
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s
a
n
d
eith
er
o
f
th
e
ze
r
o
v
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to
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s
.
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tin
cti
v
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p
r
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ce
d
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f
s
elec
tin
g
th
e
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o
lici
tatio
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o
f
th
e
v
ec
to
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d
w
h
ic
h
ze
r
o
v
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(
s
)
to
u
s
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m
in
atio
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Fig
u
r
e
4
.
T
h
r
ee
P
h
ase
I
n
v
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ter
Sp
ac
e
v
ec
to
r
P
W
M
s
tr
ateg
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is
lev
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g
e
as
a
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o
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p
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
S
p
a
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V
ec
to
r
a
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in
u
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605
In
[
1
5
]
Sp
ac
e
Vec
to
r
P
W
M
i
m
p
lie
s
a
n
o
v
el
tr
ad
i
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g
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n
ize
d
in
v
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ter
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v
italit
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s
is
to
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h
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m
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ir
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ig
h
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elp
o
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tate
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Vx
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Sa,
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Sc)
.
T
h
e
Fig
u
r
e
5
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em
o
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tr
ate
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Vec
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ca
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ak
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ield
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e
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is
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e
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u
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5
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u
r
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e
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o
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th
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v
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e
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s
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u
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5.
RE
SU
L
T
S & D
I
SCU
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ex
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atio
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d
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et
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3
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t
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s
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s
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e
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T
h
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m
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at
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l
tip
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r
e
s
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s
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ed
QZ
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n
v
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ter
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it
h
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ateg
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T
h
e
Q
Z
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i
s
p
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f
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t
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h
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s
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t
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n
h
a
n
ce
d
s
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le
s
ta
g
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p
o
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g
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to
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n
d
h
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er
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s
.
QZ
SI
is
m
o
s
t
p
r
o
p
er
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ter
f
ac
e
f
o
r
s
u
n
b
as
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h
o
to
v
o
ltaic
s
tr
u
ctu
r
e
a
n
d
co
u
ld
en
d
u
p
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e
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ce
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ti
o
n
all
y
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le,
w
h
e
n
ex
ec
u
ted
w
it
h
t
h
e
i
m
p
r
o
v
ed
c
o
n
tr
o
l f
r
a
m
e
w
o
r
k
s
p
r
o
p
o
s
ed
.
RE
F
E
R
E
NC
E
S
[1
]
S
o
b
h
a
n
Do
ra
h
a
k
i
.
Ne
w
M
e
th
o
d
s
f
o
r
Re
d
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c
in
g
th
e
P
ro
b
lem
s
of
P
h
o
t
o
v
o
lt
a
ic
S
y
ste
m
s
.
T
EL
KOM
NIKA
In
d
o
n
e
sia
n
J
o
u
rn
a
l
of
El
e
c
trica
l
En
g
in
e
e
rin
g
.
2
0
1
5
;
16
(
1
)
:
13
-
18
[2
]
G
e
Ba
o
m
in
g
,
P
e
n
g
F
a
n
g
Zh
e
n
g
,
A
b
u
-
Ru
b
Ha
it
h
a
m
.
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v
e
l
En
e
rg
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to
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d
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in
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S
tag
e
P
h
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t
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ic
P
o
w
e
r
S
y
ste
m
w
it
h
Co
n
sta
n
t
DC
-
L
in
k
P
e
a
k
Vo
l
tag
e
.
IEE
E
T
ra
n
s
a
c
ti
o
n
s o
n
S
u
st
a
in
a
b
le E
n
e
rg
y
.
2
0
1
4
;
5
(1
):
28
-
3
5
.
[3
]
G
e
Ba
o
m
in
g
,
A
b
u
-
Ru
b
Ha
it
h
a
m
.
A
n
En
e
rg
y
S
to
re
d
Q
u
a
si
-
Z
-
S
o
u
rc
e
In
v
e
rter
f
o
r
A
p
p
li
c
a
ti
o
n
s to
P
h
o
to
v
o
lt
a
ic P
o
w
e
r
S
y
st
e
m
.
IEE
E
T
ra
n
sa
c
ti
o
n
s o
n
I
n
d
u
stria
l
El
e
c
tro
n
ics
.
2
0
1
3
;
6
0
(
1
0
)
:
4
4
6
8
-
8
1
.
[4
]
Ha
m
id
Re
z
a
M
o
h
a
m
m
a
d
i,
A
li
Ak
h
a
v
a
n
.
"
A
Ne
w
Co
n
tro
l
M
e
th
o
d
f
o
r
G
rid
Co
n
n
e
c
ted
P
V
S
y
ste
m
Ba
s
e
d
o
n
Qu
a
siZS
o
u
rc
e
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
In
v
e
rter
Us
in
g
Ev
o
lu
ti
o
n
a
r
y
A
l
g
o
rit
h
m
"
.
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
.
2
0
1
5
;
6
(
1
)
:
1
0
9
-
1
2
0
[5
]
Ca
o
Do
n
g
,
Jia
n
g
S
h
u
a
i
a
n
d
P
e
n
g
F
a
n
g
Zh
e
n
g
.
L
o
w
-
Co
st
S
e
m
i
-
Z
-
so
u
rc
e
In
v
e
rter
f
o
r
S
in
g
le
-
P
h
a
se
P
h
o
to
v
o
lt
a
ic
S
y
st
e
m
s.
IEE
E
T
ra
n
s
a
c
ti
o
n
s o
n
P
o
we
r E
lec
tr
o
n
ics
.
2
0
1
1
;
2
6
(1
2
):
3
4
3
1
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[6
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V
in
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Dm
it
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a
si
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o
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Ba
se
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late
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n
v
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f
o
r
Distrib
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o
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r
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n
e
ra
ti
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n
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n
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d
u
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l
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1
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8
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-
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0
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[7
]
S
h
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[8
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[9
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[1
2
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L
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in
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3
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Eff
a
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ra
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a
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[1
4
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M
a
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ri
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m
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Ba
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Evaluation Warning : The document was created with Spire.PDF for Python.