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e
p
r
esen
ted
,
i
n
ad
d
itio
n
to
a
s
t
u
d
y
o
f
th
e
DFI
G
m
o
d
el
i
n
t
h
e
P
ar
k
r
ef
er
en
ti
al.
Af
ter
t
h
at,
w
e
w
ill
d
is
c
u
s
s
th
e
t
h
eo
r
etica
l
p
ar
t
o
f
s
lid
i
n
g
m
o
d
e
co
n
tr
o
l,
f
o
ll
o
w
ed
b
y
it
s
ap
p
licatio
n
to
t
h
e
R
S
C
to
in
d
ep
en
d
e
n
tl
y
co
n
t
r
o
l
th
e
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
g
en
er
ated
b
y
th
e
DFI
G,
an
d
to
th
e
G
S
C
to
en
s
u
r
e
a
DC
-
B
US
v
o
lta
g
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an
d
en
s
u
r
e
s
i
n
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s
o
id
al
cu
r
r
en
ts
i
n
t
h
e
s
id
e
o
f
t
h
e
g
r
id
.
Fin
all
y
,
w
e
w
ill
p
r
ese
n
t
an
d
ex
a
m
in
e
t
h
e
s
i
m
u
latio
n
r
es
u
lts
u
s
i
n
g
M
A
T
L
A
B
/
SIM
UL
I
NK
s
o
as
to
m
a
k
e
a
c
o
m
p
ar
is
o
n
w
it
h
t
h
e
li
n
ea
r
co
n
tr
o
l
b
y
Flu
x
Or
ie
n
ted
C
o
n
tr
o
l
w
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th
t
h
e
o
b
j
ec
tiv
e
o
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i
m
p
r
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v
i
n
g
t
h
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d
s
y
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te
m
p
er
f
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a
n
ce
.
2.
T
H
E
M
E
CH
ANICA
L
P
AR
T
O
F
T
H
E
SY
ST
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M
2
.
1
.
M
a
t
he
m
a
t
ica
l
M
o
del O
f
T
he
T
urbin
e
T
h
e
k
in
et
ic
p
o
w
er
o
f
t
h
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w
i
n
d
ac
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r
d
in
g
to
B
er
n
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lli
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t
h
e
o
r
em
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i
v
en
a
s
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f
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n
ct
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t
h
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ep
t b
y
th
e
t
u
r
b
in
e
b
lad
es(S)
,
th
e
air
d
en
s
it
y
(
ρ
)
an
d
t
h
e
w
i
n
d
s
p
ee
d
(
V)
b
y
th
e
f
o
llo
w
i
n
g
E
q
u
atio
n
[
6
-
9
]
:
3
v
ρ
.
S
.
V
P
2
(
1
)
T
h
e
w
i
n
d
t
u
r
b
in
e
ca
n
co
n
v
er
t
a
p
er
ce
n
tag
e
o
f
t
h
e
k
i
n
etic
w
i
n
d
p
o
w
er
i
n
to
a
m
ec
h
a
n
ical
p
o
w
er
.
T
h
e
ae
r
o
d
y
n
a
m
ic
p
o
w
er
ap
p
ea
r
in
g
at
th
e
r
o
to
r
o
f
th
e
tu
r
b
in
e
i
s
wr
itten
as
f
o
llo
w
s
[
9
-
1
1
]
:
2
3
a
e
r
o
p
ρ
.
π
.
R
.
V
PC
λ
,
β
.
2
(
2
)
C
p
p
r
es
en
ts
t
h
e
p
o
w
er
co
ef
f
ic
ien
t
as
s
h
o
w
n
i
n
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g
u
r
e
2
,
w
h
ich
d
ep
en
d
s
o
n
t
h
e
c
h
ar
ac
ter
is
tic
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f
t
h
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w
i
n
d
tu
r
b
i
n
e
(
λ
an
d
β )
.
T
h
is
later
is
ap
p
r
o
x
i
m
ated
b
y
th
e
f
o
l
lo
w
i
n
g
E
q
u
atio
n
[
10
]
,
[
8
]
:
2
p
1
3
5
6
3
C
1
0
.
0
3
5
C(
λ
,
β
C
C
.
β
C
4
*
e
x
p
C
*
C
.
λ
A
λ
0
.
0
8
.
β
β1
(
3
)
Fro
m
Fig
u
r
e
2
,
w
e
ca
n
n
o
te
th
at
th
e
p
o
w
er
co
ef
f
icie
n
t
C
p
r
ea
ch
es
its
m
a
x
i
m
u
m
0
.
5
5
0
6
f
o
r
a
s
p
ee
d
r
atio
λ
o
p
t=8
an
d
β=0
°.
T
h
e
s
p
ee
d
r
atio
λ
p
r
esen
ts
th
e
r
elat
io
n
s
h
ip
b
et
w
ee
n
th
e
w
i
n
d
s
p
e
ed
an
d
th
at
o
f
th
e
tu
r
b
in
e
t.I
ts
e
x
p
r
ess
io
n
is
g
i
v
en
a
s
f
o
llo
w
s
[
8
-
9
]
:
t
Ω
λ
R
.
v
(
4
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2
0
8
8
-
8
694
I
mp
r
o
ve
d
P
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ma
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f D
F
I
G
-
Gen
era
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r
s
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r
W
in
d
Tu
r
b
i
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a
r
ia
b
le
-
s
p
ee
d
(
I
h
ed
r
a
n
e
Ya
s
min
e
)
1877
Fig
u
r
e
2
.
P
o
w
er
co
ef
f
ic
ie
n
t in
f
u
n
ctio
n
o
f
λ
f
o
r
d
iv
er
s
e
v
al
u
e
s
o
f
β
2
.
2
.
G
er
bo
x
T
h
e
g
ea
r
b
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ad
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t
t
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r
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in
e
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p
ee
d
to
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r
eq
u
ir
ed
b
y
th
e
g
e
n
er
ato
r
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I
t
i
s
m
o
d
eled
b
y
t
h
e
f
o
llo
w
in
g
eq
u
atio
n
s
y
s
t
e
m
[
5
-
6
]
:
Ω
Ω
C
C
m
e
c
t
a
e
r
o
g
G
G
(
5
)
2
.
3
.
Dy
na
m
ic
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qu
a
t
io
n O
f
T
he
Sh
a
f
t
T
h
e
f
u
n
d
a
m
en
tal
eq
u
atio
n
o
f
t
h
e
d
y
n
a
m
ic
s
m
a
k
es
it
p
o
s
s
ib
le
to
d
e
f
in
e
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h
e
p
r
o
g
r
ess
o
f
t
h
e
m
ec
h
a
n
ical
s
p
ee
d
Ω
m
ec
[
8
]
[
1
0
]
:
d
Ω
C
J
C
C
.
Ω
dt
m
e
c
m
e
c
g
e
m
m
e
c
f
(
6
)
W
ith
:
:
Me
ch
an
ical
to
r
q
u
e
ex
er
ted
o
n
th
e
r
o
to
r
s
h
af
t
o
f
t
h
e
w
i
n
d
tu
r
b
i
n
e.
C
e
m
:
E
lectr
o
m
a
g
n
et
ic
to
r
q
u
e,
.
Ω
m
e
c
f
:
T
h
e
to
r
q
u
e
o
f
v
is
co
u
s
f
r
ictio
n
.
J
:
T
h
e
to
tal
in
er
tia
co
n
s
is
ts
o
f
th
e
t
u
r
b
in
e
in
er
tia
J
t
an
d
th
e
g
en
er
ato
r
in
er
tia
J
g
g
i
v
en
b
y
:
t
g
J
JJ
G
(
7
)
2
.
4
.
M
a
x
i
m
u
m
P
o
w
er
P
o
int
T
ra
c
k
ing
Str
a
t
eg
y
I
n
o
r
d
er
to
ex
tr
ac
t
th
e
m
a
x
i
m
u
m
p
o
w
er
f
r
o
m
t
h
e
w
i
n
d
,
w
e
n
ee
d
an
al
g
o
r
ith
m
ac
t
in
g
o
n
t
h
e
s
et
p
o
i
n
t
v
ar
iab
les,
to
h
a
v
e
a
g
o
o
d
ef
f
icien
c
y
o
f
t
h
e
d
ev
ice.
Fo
r
t
h
is
r
ea
s
o
n
,
w
e
ap
p
lied
a
tech
n
iq
u
e
o
f
Ma
x
i
m
u
m
P
o
w
er
P
o
in
t
T
r
ac
k
in
g
Stra
te
g
y
.
T
h
is
te
c
h
n
iq
u
e
co
n
s
i
s
ts
in
i
m
p
o
s
in
g
a
to
r
q
u
e
o
f
r
ef
er
e
n
ce
s
o
as
to
p
er
m
it
th
e
DFI
G
to
t
u
r
n
a
t
a
r
eg
u
lat
in
g
s
p
ee
d
to
en
s
u
r
e
a
n
o
p
ti
m
al
o
p
e
r
atin
g
p
o
in
t
o
f
p
o
w
er
ex
tr
ac
ti
o
n
[
3
]
.
T
h
at
is
w
h
y
th
e
s
p
ee
d
r
atio
λ
m
u
s
t
b
e
k
ep
t
its
o
p
ti
m
u
m
v
al
u
e
(
o
p
t)
o
v
er
a
ce
r
tain
r
a
n
g
e
o
f
w
i
n
d
s
p
ee
d
,
f
u
r
th
er
m
o
r
e
,
th
e
p
o
w
er
co
e
f
f
ic
ien
t
w
o
u
ld
b
e
m
ai
n
tain
ed
at
its
m
a
x
i
m
u
m
v
al
u
e
(
C
p
m
a
x
=
C
p
)
[
3
,
1
2
]
.
I
n
th
i
s
ca
s
e,
t
h
e
ae
r
o
d
y
n
a
m
ic
co
u
p
le
w
ill h
a
v
e
as a
n
ex
p
r
es
s
io
n
:
2
3
a
e
r
o
p
_
m
a
x
t
ρ
.
π
.
R
.
V
CC
λ
,
β
.
2
.
Ω
(
8
)
T
h
e
r
ef
er
en
ce
to
r
q
u
e
at
th
e
o
u
tp
u
t o
f
t
h
e
m
u
ltip
lier
b
ec
o
m
es
:
1
C
.
C
r
e
f
g
a
e
r
o
G
(
9
)
W
e
k
n
o
w
th
at
t
h
e
f
u
n
d
a
m
en
ta
l e
q
u
atio
n
o
f
d
y
n
a
m
ics i
s
g
iv
e
n
b
y
:
0
2
4
6
8
10
12
14
16
18
20
-
1
.
4
-
1
.
2
-1
-
0
.
8
-
0
.
6
-
0
.
4
-
0
.
2
0
0
.
2
0
.
4
0
.
6
C
p
(
l
a
m
b
d
a
,
b
e
t
a
)
L
a
m
b
d
a
Cp
b
e
t
a
=
0
°
b
e
t
a
=
2
°
b
e
t
a
=
4
°
b
e
t
a
=
6
°
b
e
t
a
=
8
°
b
e
t
a
=
1
0
°
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
4
,
Dec
em
b
er
2
0
1
8
:
1875
–
1
8
9
0
1878
d
Ω
C
J
C
C
C
dt
m
e
c
m
e
c
g
e
m
f
(
1
0
)
W
e
ass
u
m
ed
th
at
t
h
e
g
e
n
er
ato
r
r
o
tatio
n
al
s
p
ee
d
is
f
ix
ed
d
u
r
in
g
t
h
e
s
t
u
d
y
p
er
io
d
,
an
d
w
e
n
eg
lecte
d
th
e
e
f
f
ec
t
o
f
th
e
v
is
co
u
s
to
r
q
u
e.
T
h
e
r
ef
er
en
ce
elec
tr
o
m
ag
n
etic
to
r
q
u
e
ca
n
b
e
ex
p
r
es
s
ed
b
y
:
CC
e
m
r
e
f
g
(
1
1
)
T
h
e
esti
m
ated
w
i
n
d
s
p
ee
d
ca
n
b
e
w
r
itten
a
s
s
u
g
g
es
ted
:
_
.
t
e
s
t
e
s
t
e
s
t
VR
(
1
2
)
T
h
e
ex
p
r
ess
io
n
o
f
t
h
e
r
ef
er
en
c
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
ca
n
b
e
w
r
itte
n
as i
n
d
icate
d
:
2
5
p
_
m
a
x
m
e
c
e
m
r
e
f
33
opt
C
ρ
.
π
.
R
C
.
.
2
λG
Ω
(
1
3
)
B
ased
o
n
th
e
s
e
eq
u
a
tio
n
s
,
w
e
ca
n
cr
ea
te
t
h
e
f
o
llo
w
i
n
g
d
ia
g
r
a
m
o
f
t
h
e
m
ec
h
a
n
ical
p
ar
t o
f
t
h
e
w
i
n
d
s
y
s
te
m
an
d
th
e
MP
PT
s
tr
ateg
y
w
it
h
o
u
t sp
ee
d
m
ea
s
u
r
e
m
e
n
t s
h
o
w
n
i
n
Fi
g
u
r
e
3
[
5
]
:
Fig
u
r
e
3
.
T
h
e
MPPT
s
tr
ateg
y
w
it
h
o
u
t sp
ee
d
m
ea
s
u
r
e
m
en
t
3.
T
H
E
E
L
E
CT
RICA
L
P
AR
T
O
F
T
H
E
SYS
T
E
M
3
.
1
.
T
he
DF
I
G
M
o
del
T
h
e
Do
u
b
l
y
Fed
I
n
d
u
ctio
n
G
en
er
ato
r
DFI
G
m
o
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.
Stato
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f
th
e
D
C
m
ac
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atel
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cited
[
5
]
[
6
]
.
I
n
th
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s
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w
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4
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atio
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:
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sd
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(
1
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
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8
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4
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2
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lter
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r
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(
2
2
)
5.
SL
I
DIN
G
M
O
DE
CO
NT
RO
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SM
C
5
.
1
.
Sli
din
g
M
o
de
Co
ntr
o
l P
rinciple
T
h
e
v
ar
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le
s
tr
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ct
u
r
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s
y
s
te
m
(
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is
a
s
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s
te
m
w
h
o
s
e
s
tr
u
ctu
r
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ch
a
n
g
es
d
u
r
i
n
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it
s
o
p
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atio
n
.
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t
is
ch
ar
ac
ter
ized
b
y
th
e
ch
o
ice
o
f
a
s
tr
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ct
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r
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d
a
s
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n
g
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h
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t
h
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y
s
t
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to
s
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e
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ates
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Fig
u
r
e
5
,
an
d
a
n
ap
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r
o
p
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s
w
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tch
i
n
g
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h
e
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d
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m
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a
s
p
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e
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y
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e
co
m
p
letel
y
r
ej
ec
ted
b
y
t
h
e
co
n
tr
o
l [
1
5
]
.
Fig
u
r
e
5
.
Sli
d
in
g
m
o
d
e
tech
n
i
q
u
e
p
r
in
cip
le
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2
0
8
8
-
8
694
I
mp
r
o
ve
d
P
erfo
r
ma
n
ce
o
f D
F
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era
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r
s
fo
r
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d
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r
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n
es V
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r
ia
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le
-
s
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ee
d
(
I
h
ed
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a
n
e
Ya
s
min
e
)
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o
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ith
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ee
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i
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ed
b
y
[
5
]
:
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ng
s
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ce
T
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e
s
lid
in
g
s
u
r
f
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p
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ed
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y
SLOT
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is
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iv
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n
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y
[
1
6
,
1
7
]
:
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x
,
t
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e
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2
3
)
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ith
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I
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o
w
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Dr
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N:
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e:
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