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8
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[
9
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1
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3
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m
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1
4
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4
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5
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I
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tu
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14
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k
s
tep
p
in
g
co
n
tr
o
l
a
n
d
s
lid
in
g
m
o
d
e
co
n
tr
o
l
h
a
v
e
g
iv
en
in
ter
esti
n
g
r
esu
lts
in
ter
m
s
o
f
r
o
b
u
s
tn
ess
an
d
th
e
q
u
ality
o
f
th
e
p
r
o
d
u
ce
d
p
o
wer
.
I
n
th
e
p
r
esen
t
wo
r
k
,
th
e
au
th
o
r
s
in
ten
d
to
im
p
r
o
v
e
th
e
p
er
f
o
r
m
an
ce
o
f
DFI
G
in
win
d
p
o
wer
g
e
n
er
atio
n
b
y
d
esig
n
in
g
a
r
ea
l
-
tim
e
n
o
n
-
lin
ea
r
h
y
b
r
id
a
p
p
r
o
ac
h
c
o
m
b
in
i
n
g
b
ac
k
s
tep
p
in
g
co
n
tr
o
l
(
B
C
)
an
d
s
lid
in
g
m
o
d
e
co
n
tr
o
l
(
SMC
)
s
tr
ateg
ies
m
ai
n
ly
f
o
r
r
o
b
u
s
tn
ess
to
W
E
C
S
p
ar
am
eter
v
ar
iatio
n
s
,
tak
in
g
i
n
to
ac
co
u
n
t
th
e
n
o
n
-
lin
ea
r
ity
o
f
th
e
s
y
s
tem
m
o
d
el.
Har
d
war
e
-
in
-
th
e
-
lo
o
p
(
HI
L
)
s
im
u
latio
n
is
a
tech
n
o
lo
g
y
th
at
h
as
b
ee
n
em
er
g
in
g
in
r
ec
en
t
y
ea
r
s
.
I
t
c
o
n
s
is
ts
o
f
v
alid
atin
g
th
e
d
e
v
elo
p
e
d
co
n
tr
o
l
laws
with
o
u
t
th
e
n
ee
d
t
o
u
s
e
th
e
p
h
y
s
ical
s
y
s
tem
,
it
is
en
o
u
g
h
to
h
av
e
a
s
im
u
lated
m
o
d
el
o
f
th
e
s
y
s
tem
in
q
u
esti
o
n
.
HI
L
s
im
u
latio
n
is
th
er
ef
o
r
e
wid
ely
u
s
ed
in
th
e
d
esig
n
o
f
c
o
n
tr
o
ll
er
s
.
HI
L
test
in
g
is
p
r
o
v
in
g
to
b
e
an
im
p
o
r
tan
t
an
d
u
n
iv
er
s
ally
ac
ce
p
ted
to
o
l
f
o
r
th
e
co
n
tr
o
l a
n
d
d
esig
n
o
f
s
y
s
tem
eq
u
ip
m
e
n
t a
n
d
p
o
wer
elec
tr
o
n
ics [
1
4
]
-
[
2
7
]
.
T
h
e
p
a
p
er
is
s
tr
u
ct
u
r
ed
in
th
e
f
o
llo
win
g
way
:
t
h
e
Sectio
n
2
is
d
ev
o
ted
t
o
th
e
Me
th
o
d
s
an
d
Ma
ter
ials
.
T
h
is
s
ec
tio
n
is
d
i
v
id
ed
to
3
p
ar
ts
.
I
n
p
ar
t
1
,
th
e
W
E
C
S
co
n
f
ig
u
r
atio
n
will
b
e
p
r
esen
ted
b
y
estab
lis
h
in
g
th
e
m
o
d
els
o
f
th
e
d
if
f
er
en
t
elem
e
n
ts
co
n
s
titu
tin
g
th
e
W
E
C
S.
T
h
e
co
n
tr
o
l
s
tr
ateg
ies
ar
e
ca
r
e
f
u
lly
elab
o
r
ate
d
in
p
ar
t
2
.
T
h
e
DSP
im
p
lem
en
tatio
n
in
th
e
lo
o
p
is
p
r
esen
ted
in
p
ar
t
3
.
Sectio
n
3
is
d
ev
o
ted
to
th
e
r
esu
lts
o
f
th
e
v
alid
atio
n
o
f
th
e
im
p
lem
e
n
ted
co
n
tr
o
ls
.
2.
M
E
T
H
O
DS A
ND
M
A
T
E
R
I
AL
S
2
.
1
.
M
o
dellin
g
o
f
t
he
w
i
nd
t
urb
i
ne conve
rs
i
on cha
i
n b
as
ed
o
n a
DF
I
G
A
d
escr
ip
tio
n
o
f
t
h
e
d
if
f
e
r
en
t
co
m
p
o
n
e
n
ts
o
f
th
e
DFI
G
-
b
ased
W
E
C
S
i
s
s
h
o
wn
in
Fig
u
r
e
1
.
T
h
e
s
tr
u
ctu
r
e
o
f
th
e
s
y
s
tem
ca
n
b
e
d
iv
id
ed
in
to
two
m
ai
n
p
ar
ts
.
T
h
e
m
ec
h
a
n
ical
p
a
r
t
wh
ic
h
co
n
s
is
t
s
o
f
th
e
tu
r
b
in
e,
th
e
g
ea
r
b
o
x
a
n
d
t
h
e
d
r
iv
e
s
h
af
t.
T
h
en
,
th
e
elec
tr
ical
p
ar
t
wh
ich
is
co
m
p
o
s
ed
o
f
th
e
D
FIG
wh
o
s
e
s
tato
r
is
co
n
n
ec
ted
d
ir
ec
tly
to
th
e
el
ec
tr
ical
g
r
id
,
as
lo
n
g
as
th
e
r
o
to
r
is
co
n
n
ec
ted
to
th
e
g
r
id
b
y
two
s
tatic
b
id
ir
ec
tio
n
al
p
o
wer
co
n
v
er
ter
s
an
d
a
DC
b
u
s
in
a
c
o
n
f
i
g
u
r
ati
o
n
ca
lled
B
ac
k
to
B
ac
k
.
2
.
1
.
1
.
Wind
t
urbin
e
T
h
e
ae
r
o
d
y
n
a
m
ic
to
r
q
u
e,
wh
i
ch
is
co
n
v
er
ted
b
y
a
win
d
tu
r
b
in
e,
d
e
p
en
d
s
o
n
th
e
p
o
wer
c
o
ef
f
icien
t
C
p
.
I
t is g
iv
en
b
y
:
=
=
1
2
⋅
(
,
)
⋅
⋅
⋅
3
(1
)
T
h
e
r
atio
λ
is
ex
p
r
ess
ed
b
y
th
e
(
2
)
r
elatio
n
:
=
⋅
(2
)
B
y
ap
p
ly
in
g
th
e
f
u
n
d
am
e
n
tal
o
f
d
y
n
am
ics,
we
g
et
th
e
ev
o
l
u
tio
n
o
f
m
ec
h
an
ical
s
p
ee
d
(
th
e
r
ig
id
ity
is
v
er
y
lo
w
it c
an
b
e
n
e
g
lecte
d
)
[
1
4
]
-
[
2
0
]
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
147
2
–
1
4
8
1
1474
⋅
̇
=
−
⋅
−
(
3
)
2
.
1
.
2
.
DF
I
G
m
o
del
T
h
e
elec
tr
ical
eq
u
atio
n
s
o
f
th
e
DFI
G
in
th
e
Par
k
f
r
a
m
e
ar
e
w
r
itten
as [
1
7
]
-
[
2
1
]
:
{
=
+
−
=
+
+
=
+
−
=
+
+
an
d
{
=
+
=
+
=
+
=
+
(
4
)
{
=
⋅
+
⋅
=
⋅
−
⋅
an
d
{
=
⋅
+
⋅
=
⋅
−
⋅
(
5
)
=
(
−
)
(
6
)
T
o
b
e
a
b
le
to
ea
s
ily
c
o
n
tr
o
l
th
e
win
d
tu
r
b
in
e'
s
o
u
tp
u
t,
th
e
co
o
r
d
in
ate
s
y
s
tem
(
d
-
q
)
is
o
r
i
en
ted
to
alig
n
th
e
d
-
ax
is
with
th
e
s
tato
r
f
lu
x
ϕ
s
:
{
=
−
=
−
(
7)
Fig
u
r
e
1
.
T
h
e
DFI
G
-
b
ased
wi
n
d
co
n
v
er
s
io
n
c
h
ain
2
.
2
.
A
hy
brid ba
ck
s
t
eppin
g
-
s
l
idi
ng
m
o
de
co
ntr
o
l
o
f
t
he
DF
I
G
po
wer
s
us
ed
i
n WE
CS
I
n
th
is
p
ar
t,
we
f
o
cu
s
o
n
t
h
e
ap
p
licatio
n
o
f
th
e
b
ac
k
s
tep
p
in
g
m
eth
o
d
ass
o
ciate
d
with
th
e
s
lid
in
g
m
o
d
e
co
n
tr
o
l
o
f
th
e
d
o
u
b
le
-
f
e
ed
in
d
u
ctio
n
g
en
e
r
ato
r
.
W
e'
'
ll
estab
lis
h
th
e
co
m
m
an
d
v
alu
e
ex
p
r
ess
io
n
s
b
ased
o
n
th
e
estab
lis
h
ed
m
o
d
el
in
th
e
p
r
ev
io
u
s
s
ec
tio
n
.
2
.
2
.
1
.
Ro
t
o
r
-
s
ide c
o
nv
er
t
er
(
RSC)
T
h
e
b
ac
k
s
tep
p
i
n
g
'
s
co
m
m
an
d
law
ex
p
r
ess
io
n
s
ar
e
as [
2
5
]
:
{
=
[
2
2
+
+
1
(
+
+
)
]
=
[
1
1
+
+
1
(
−
)
]
(8
)
W
ith
G
A
D
A
é
P
u
i
ss
a
n
c
e
st
a
t
o
r
i
q
u
e
C
onv
e
r
t
i
s
s
e
u
r
P
W
M
I
G
é
n
é
r
a
tr
i
c
e
C
onv
e
r
t
i
s
s
e
u
r
P
W
M
I
I
R
é
s
e
a
u
DF
I
G
T
ur
b
ine
R
S
C
G
ea
rbo
x
GSC
G
ri
d
Stat
o
r
P
o
w
er
Ro
t
o
r
P
o
w
er
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2
0
8
8
-
8
694
Hyb
r
id
n
o
n
lin
ea
r
co
n
tr
o
l str
a
teg
ies fo
r
p
erfo
r
ma
n
ce
en
h
a
n
c
eme
n
t o
f
… (
B
o
u
ch
a
ib
R
a
ch
e
d
)
1475
{
=
−
⋅
=
−
⋅
+
an
d
{
1
=
−
2
=
−
(
9
)
T
h
e
ex
p
r
ess
io
n
o
f
th
e
b
ac
k
s
te
p
p
in
g
s
tab
ilizin
g
co
m
m
an
d
ass
o
ciate
d
with
th
e
s
lid
in
g
m
o
d
e
s
ettin
g
is
d
er
iv
e
d
as
:
{
=
[
+
1
(
+
+
)
]
+
(
5
1
+
71
(
1
)
)
=
[
+
1
(
−
)
]
+
(
6
2
+
61
(
2
)
)
(
1
0
)
W
h
er
e
5
k
,
51
k
,
6
k
,
an
d
61
k
ar
e
p
o
s
itiv
es c
o
n
s
tan
ts
.
T
o
en
s
u
r
e
th
e
co
n
v
er
g
e
n
ce
o
f
L
y
ap
u
n
o
v
'
s
ca
n
d
id
ate
f
u
n
ctio
n
,
we
m
u
s
t h
av
e
v
er
if
ied
th
at:
5
1
5
5
6
1
6
6
22
5
5
6
6
(
)
(
)
0
sign
sign
k
e
k
k
e
e
k
e
e
e
−
−
−
−
(
1
1
)
2
.
2
.
2
.
G
rid
-
s
ide c
o
nv
er
t
er
(
G
SC)
T
h
e
b
ac
k
s
tep
p
i
n
g
'
s
co
m
m
an
d
law
ex
p
r
ess
io
n
s
ar
e
as [
2
5
]
:
{
=
−
[
3
3
+
+
−
]
=
−
[
4
4
+
+
+
−
]
with
{
3
=
−
4
=
−
(
1
2
)
5
k
an
d
6
k
ar
e
ch
o
s
en
to
b
e
p
o
s
itiv
es p
ar
am
eter
s
.
{
=
−
[
+
−
]
+
(
7
3
+
71
(
3
)
)
=
−
[
6
6
+
+
+
−
]
+
(
8
4
+
81
(
4
)
)
(
1
3
)
I
n
o
r
d
er
to
en
s
u
r
e
a
f
aster
d
y
n
am
ic
o
f
th
e
g
r
id
cu
r
r
en
t
co
m
p
o
n
e
n
ts
,
7
k
,
71
k
,
8
k
,
an
d
81
k
ar
e
ch
o
s
e
n
to
b
e
p
o
s
itiv
es p
ar
am
eter
s
.
T
h
er
e
f
o
r
e
:
−
7
7
2
−
71
7
(
7
)
−
8
8
2
−
81
8
(
8
)
<
0
(
1
4
)
2
.
2
.
3
.
T
ra
ck
ing
o
f
t
he
ma
x
i
m
um
po
wer
po
int
o
f
t
he
pro
po
s
ed
win
d sy
s
t
em
I
n
o
r
d
e
r
to
e
x
t
r
a
ct
th
e
m
a
x
i
m
u
m
p
o
w
e
r
,
th
e
s
p
e
ci
f
ic
s
p
ee
d
m
u
s
t
b
e
s
et
t
o
its
o
p
tim
al
v
al
u
e
in
o
r
d
er
to
o
b
t
ai
n
t
h
e
m
ax
im
u
m
p
o
we
r
co
ef
f
i
ci
en
t
.
T
h
e
p
o
w
er
co
e
f
f
i
ci
en
t
p
c
m
u
s
t
b
e
m
ai
n
t
a
in
e
d
at
its
m
a
x
i
m
u
m
v
al
u
e
i
n
o
r
d
e
r
t
o
r
ea
ch
t
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ch
as [
2
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
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2
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.
Fig
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r
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2
.
eZ
DSP T
MS3
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F2
8
3
3
5
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2
0
8
8
-
8
694
Hyb
r
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5
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3.
VALI
DAT
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N
RE
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T
S
T
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0
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3
5
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m
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icatin
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ate
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ateg
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,
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e
d
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itio
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s
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r
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o
f
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ii)
v
ar
iatio
n
o
f
th
e
s
p
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d
:
at
t
=
8
[
s
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,
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5
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[
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p
ar
a
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eter
: t
=
1
2
[
s
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,
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o
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ith
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is
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h
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s
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to
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u
a
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it p
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,
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n
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y
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a
ze
r
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ef
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e
n
ce
f
o
r
th
e
r
ea
ctiv
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
147
2
–
1
4
8
1
1478
p
o
wer
.
Fig
u
r
e
7
a
n
d
Fig
u
r
e
8
s
h
o
w
r
esp
ec
tiv
ely
th
e
r
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n
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e
o
f
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p
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(
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r
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f
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th
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cc
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f
u
lly
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d
w
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a
f
ast
r
esp
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n
s
e
tim
e.
Fig
u
r
e
9
an
d
Fig
u
r
e
10
s
h
o
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th
e
wav
ef
o
r
m
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o
f
th
e
c
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r
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.
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h
e
s
tato
r
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d
r
o
to
r
c
u
r
r
en
ts
b
o
th
h
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e
a
s
in
u
s
o
id
al
wav
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o
r
m
.
Mo
r
eo
v
er
,
th
e
f
r
e
q
u
en
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y
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n
d
a
m
p
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d
e
o
f
th
e
r
o
t
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r
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u
r
r
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n
t
v
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r
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a
s
a
f
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n
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o
f
th
e
g
en
er
ato
r
s
p
ee
d
.
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ca
n
b
e
s
ee
n
in
Fig
u
r
e
1
1
,
t
h
e
DC
lin
k
v
o
lta
g
e
ev
o
lu
tio
n
i
s
ex
tr
em
ely
s
atis
f
ac
to
r
y
.
T
h
e
r
esu
lts
o
f
th
e
v
ar
iatio
n
o
f
th
e
m
ac
h
i
n
e
p
ar
a
m
eter
s
ar
e
s
h
o
wn
in
Fig
u
r
e
1
2
.
T
h
e
DFI
G
p
ar
a
m
eter
v
ar
ia
tio
n
s
s
h
o
w
a
v
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s
m
all
in
cr
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s
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in
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e
tim
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n
s
e
o
f
t
h
e
p
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p
o
s
ed
c
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n
tr
o
l
s
tr
ateg
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.
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th
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m
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th
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r
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s
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lt
s
h
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ws
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r
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r
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r
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tr
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o
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p
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o
s
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o
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tai
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ed
w
ith
a
b
ac
k
s
tep
p
in
g
co
n
tr
o
l
s
tr
ateg
y
[
2
5
]
.
I
t
ca
n
b
e
co
n
clu
d
ed
th
at
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l
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m
o
r
e
r
o
b
u
s
t
th
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th
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C
.
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th
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o
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er
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d
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h
e
d
is
ad
v
an
ta
g
e
o
f
th
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s
lid
in
g
m
o
d
e
[
1
4
]
ca
lled
c
h
atter
in
g
p
h
en
o
m
e
n
o
n
is
o
v
e
r
co
m
e
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s
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t
h
e
h
y
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r
id
b
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-
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n
tr
o
l.
I
n
ac
co
r
d
a
n
ce
with
th
e
r
esu
lt:
i)
t
h
e
r
esu
lts
o
f
th
e
im
p
lem
en
tatio
n
o
f
th
e
DSP
as
a
HI
L
p
r
esen
t
th
e
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er
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o
r
m
a
n
ce
s
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ter
m
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et
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ito
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tatic
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r
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r
s
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o
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u
s
tn
ess
,
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d
ii)
t
h
e
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lts
o
f
th
e
im
p
lem
en
tatio
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o
f
th
e
co
n
tr
o
l
p
r
o
p
o
s
ed
o
n
DSP
as
h
ar
d
war
e
in
th
e
lo
o
p
co
n
v
er
g
e
to
th
o
s
e
o
b
tain
ed
with
c
o
n
v
e
n
tio
n
al
s
im
u
latio
n
s
o
n
S
im
u
lin
k
.
T
o
v
alid
ate
th
e
p
er
f
o
r
m
an
ce
s
o
f
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l,
a
lite
r
atu
r
e
r
ev
iew
i
n
r
ec
en
t
w
o
r
k
s
b
ased
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n
PI
r
eg
u
latio
n
o
f
win
d
en
e
r
g
y
s
y
s
tem
s
u
s
in
g
DFI
G
[
6
]
-
[
1
7
]
h
as
b
ee
n
d
o
n
e.
As
a
r
esu
lt,
f
o
r
th
e
PI
co
n
tr
o
ller
s
,
th
e
ef
f
ec
t
o
f
th
e
co
u
p
lin
g
b
etwe
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n
th
e
two
p
o
wer
s
is
o
b
s
er
v
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b
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au
s
e
a
s
tep
im
p
o
s
ed
o
n
o
n
e
o
f
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two
p
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wer
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(
ac
tiv
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r
r
ea
ctiv
e)
in
d
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ce
s
an
im
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r
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I
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N
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W
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o
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ith
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e
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5
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o
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.
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I
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t J
Po
w
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lec
&
Dr
i
Sy
s
t,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
147
2
–
1
4
8
1
1480
n
o
n
li
n
e
a
r
h
y
b
rid
a
p
p
ro
a
c
h
p
r
o
v
i
d
es
g
o
o
d
s
tatic
an
d
d
y
n
am
ic
p
er
f
o
r
m
an
ce
s
o
f
th
e
s
y
s
tem
;
Setp
o
in
t
f
o
llo
w
-
u
p
,
r
o
b
u
s
tn
ess
an
d
r
esp
o
n
s
e
r
ap
id
i
ty
ar
e
ac
h
ie
v
ed
;
T
h
e
r
esu
lts
o
f
th
e
im
p
lem
e
n
tatio
n
o
f
th
e
s
u
g
g
ested
co
n
tr
o
ls
o
n
DSP
as
HI
L
co
n
f
ir
m
th
e
r
esu
lts
o
b
tain
ed
in
Simu
lin
k
.
Acc
o
r
d
in
g
ly
,
th
e
e
f
f
ec
tiv
en
ess
o
f
th
is
co
n
tr
o
l
h
as
b
ee
n
v
er
if
ied
.
RE
F
E
R
E
NC
E
S
[1
]
G
.
Ab
a
d
,
D
o
u
b
ly
fe
d
i
n
d
u
c
ti
o
n
m
a
c
h
in
e
:
M
o
d
e
ll
in
g
a
n
d
c
o
n
tr
o
l
fo
r
win
d
e
n
e
rg
y
g
e
n
e
ra
ti
o
n
a
p
p
l
ic
a
ti
o
n
s
,
Wi
ley
-
Blac
k
we
ll
P
u
b
,
2
0
1
1
.
[2
]
A.
Tam
a
a
ra
t
,
a
n
d
A.
Be
n
a
k
c
h
a
,
“
P
e
rfo
rm
a
n
c
e
o
f
P
I
c
o
n
tro
ll
e
r
fo
r
c
o
n
tro
l
o
f
a
c
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
we
r
in
DFI
G
o
p
e
ra
ti
n
g
in
a
g
rid
-
c
o
n
n
e
c
ted
v
a
r
iab
le
sp
e
e
d
win
d
e
n
e
rg
y
c
o
n
v
e
rs
io
n
sy
ste
m
,
”
Fr
o
n
t.
E
n
e
rg
y
,
v
o
l.
8
,
n
o
.
3
,
p
p
.
371
-
3
7
8
,
S
e
p
.
2
0
1
4
,
d
o
i:
1
0
.
1
0
0
7
/s1
1
7
0
8
-
0
1
4
-
0
3
1
8
-
6
.
[3
]
H
.
Q
.
M
i
n
h
,
N
.
F
ré
d
é
ric
,
E
.
Na
ji
b
,
a
n
d
H
.
Ab
d
e
laz
iz
,
“
P
o
we
r
m
a
n
a
g
e
m
e
n
t
o
f
a
v
a
riab
le
sp
e
e
d
wi
n
d
tu
r
b
i
n
e
f
o
r
sta
n
d
-
a
lo
n
e
sy
ste
m
u
sin
g
fu
z
z
y
l
o
g
ic,
”
i
n
Fu
zz
y
S
y
ste
ms
(FUZ
Z
),
2
0
1
1
IE
EE
In
ter
n
a
ti
o
n
a
l
Co
n
fe
re
n
c
e
,
2
0
1
1
,
pp
.
1
4
0
4
-
1
4
1
0
,
d
o
i:
1
0
.
1
1
0
9
/F
UZ
ZY.
2
0
1
1
.
6
0
0
7
7
1
8
.
[4
]
H
.
K
.
Ja
fa
ri
,
a
n
d
A
.
Ra
d
a
n
,
“
Co
m
p
a
riso
n
b
e
twe
e
n
se
lf
tu
n
i
n
g
P
I
v
o
lt
a
g
e
c
o
n
tro
l
o
f
DFIG
a
n
d
a
c
o
m
b
in
a
ti
o
n
a
l
c
o
n
tro
l
fo
r
imp
ro
v
e
d
wi
n
d
tu
r
b
in
es
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
n
E
n
e
rg
y
Co
n
v
e
rs
io
n
(IR
ECON)
,
v
o
l.
2
,
n
o
.
5
,
2
0
1
4
.
[5
]
H.
Lh
a
c
h
imi,
Y.
S
a
y
o
u
ti
,
Y.
E
lk
o
u
a
ri,
H.
L
h
a
c
h
imi,
Y.
S
a
y
o
u
ti
,
a
n
d
Y.
El
k
o
u
a
ri,
“
Th
e
c
o
m
p
a
riso
n
a
n
d
a
n
a
ly
sis
o
f
t
h
e
DFIG
b
e
h
a
v
io
r
u
n
d
e
r
P
I,
f
u
z
z
y
a
n
d
sli
d
in
g
m
o
d
e
c
o
n
tro
l
lers
fo
r
win
d
e
n
e
r
g
y
c
o
n
v
e
rsio
n
sy
s
te
m
in
th
e
g
ri
d
c
o
n
n
e
c
ted
m
o
d
e
,
”
In
t
.
Rev
.
A
u
to
m.
Co
n
tr
o
l
,
v
o
l.
1
1
,
n
o
.
3
,
M
a
y
2
0
1
8
,
p
.
1
1
3
,
d
o
i:
1
0
.
1
5
8
6
6
/
irea
c
o
.
v
1
1
i3
.
1
4
3
2
2
.
[6
]
C
.
Ah
lem
,
Be
n
re
tem
A,
D
o
b
re
v
I,
a
n
d
B
.
Ba
rk
a
ti
,
“
C
o
m
p
a
ra
ti
v
e
stu
d
y
o
f
two
c
o
n
tro
l
stra
teg
ies
p
ro
p
o
r
ti
o
n
a
l
in
teg
ra
l
a
n
d
fu
z
z
y
l
o
g
ic
fo
r
th
e
c
o
n
tro
l
o
f
a
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
d
e
d
ica
ted
to
a
wi
n
d
a
p
p
l
ica
ti
o
n
,
”
In
ter
n
a
t
io
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
(
IJ
PE
DS
)
,
v
o
l.
1
1
,
n
o
.
1
,
p
p
.
2
6
3
-
2
7
4
,
M
a
rc
h
2
0
2
0
,
d
o
i:
1
0
.
1
1
5
9
1
/i
j
p
e
d
s.
v
1
1
.
i1
.
p
p
2
6
3
-
2
7
4
.
[7
]
A.
M
se
d
d
i,
S
.
Le
Ba
ll
o
is
,
H
.
Al
o
u
i
,
a
n
d
L
.
Vi
d
o
,
“
Ro
b
u
st
c
o
n
tro
l
o
f
a
win
d
c
o
n
v
e
rsio
n
sy
ste
m
b
a
se
d
o
n
a
h
y
b
ri
d
e
x
c
it
a
ti
o
n
s
y
n
c
h
r
o
n
o
u
s
g
e
n
e
ra
to
r:
A
c
o
m
p
a
riso
n
b
e
twe
e
n
H∞
a
n
d
CRON
E
c
o
n
tro
ll
e
rs
,
”
M
a
t
h
e
ma
ti
c
s
a
n
d
Co
mp
u
ter
s i
n
S
imu
l
a
ti
o
n
,
v
o
l.
6
,
n
o
.
1
,
F
e
b
.
2
0
1
9
,
p
p
.
4
5
3
-
4
76
,
d
o
i
:
1
0
.
1
0
1
6
/j
.
m
a
tco
m
.
2
0
1
8
.
1
1
.
0
0
4
.
[8
]
Y
.
-
M
.
Kim
,
“
Ro
b
u
st
d
a
ta
d
ri
v
e
n
H
-
in
fin
i
ty
c
o
n
tro
l
fo
r
wi
n
d
tu
r
b
i
n
e
,
”
J
o
u
rn
a
l
o
f
t
h
e
Fr
a
n
k
li
n
I
n
stit
u
te
,
v
o
l
.
3
5
3
,
n
o
.
1
3
,
p
p
.
3
1
0
4
-
3
1
1
7
,
2
0
1
6
.
d
o
i:
1
0
.
1
0
1
6
/
j.
jfran
k
li
n
.
2
0
1
6
.
0
6
.
0
0
9
.
[9
]
M
.
Be
n
b
o
u
z
i
d
,
e
t
al
.
,
“
AC
g
rid
c
o
n
n
e
c
ted
DFIG
-
b
a
se
d
win
d
t
u
rb
in
e
with
s
h
u
n
t
a
c
ti
v
e
p
o
we
r
fil
ter
b
a
se
d
o
n
n
o
n
li
n
e
a
r
p
re
d
ictiv
e
c
o
n
tr
ol
,
”
I
n
t.
Rev
.
M
o
d
e
l.
S
imu
l
a
ti
o
n
s
,
v
o
l.
8
,
n
o
.
3
,
2
0
1
5
,
d
o
i
:
1
0
.
1
5
8
6
6
/
irem
o
s.v
8
i
3
.
6
0
7
0
.
[1
0
]
B.
Ra
c
h
e
d
,
M
.
E
lh
a
ro
u
ss
i,
a
n
d
E.
Ab
d
e
lmo
u
n
im,
“
De
sig
n
a
n
d
i
n
v
e
stig
a
ti
o
n
s
o
f
M
P
P
T
stra
teg
ie
s
fo
r
a
wi
n
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
s
y
ste
m
b
a
se
d
o
n
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
,
”
I
n
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
Co
mp
u
ter
E
n
g
in
e
e
rin
g
(IJ
ECE
)
,
v
o
l.
1
0
,
n
o
.
5
,
p
p
.
4
7
7
0
-
4
7
8
1
,
2
0
2
0
,
d
o
i:
1
0
.
1
1
5
9
1
/
ij
e
c
e
.
v
1
0
i5
.
p
p
4
7
7
0
-
4
7
8
1
.
[1
1
]
Z.
Lah
lo
u
,
Y.
Be
rra
d
a
,
a
n
d
I.
B
o
u
m
h
i
d
i,
“
No
n
li
n
e
a
r
fe
e
d
b
a
c
k
c
o
n
tr
o
l
fo
r
a
c
o
m
p
lete
win
d
e
n
e
r
g
y
c
o
n
v
e
rsio
n
sy
ste
m
,
”
In
t.
Rev
.
A
u
to
m
.
Co
n
tro
l
.
,
v
o
l.
1
2
,
n
o
.
3
,
p
.
1
3
6
,
M
a
y
2
0
1
9
,
d
o
i:
1
0
.
1
5
8
6
6
/i
re
a
c
o
.
v
1
2
i3
.
1
6
6
5
6
.
[1
2
]
O.
Ra
d
o
u
a
n
e
,
a
n
d
M
.
Ra
c
h
i
d
i,
“
Ad
a
p
ti
v
e
in
p
u
t
-
o
u
t
p
u
t
fe
e
d
b
a
c
k
li
n
e
a
riza
ti
o
n
c
o
n
tr
o
l
o
f
d
o
u
b
ly
-
fe
d
i
n
d
u
c
ti
o
n
m
a
c
h
in
e
in
wi
n
d
p
o
we
r
g
e
n
e
r
a
ti
o
n
,”
I
n
t.
Rev
.
A
u
to
m.
Co
n
tr
o
l
.
,
v
o
l.
1
2
,
n
o
.
1
,
p
.
1
1
,
Ja
n
.
2
0
1
9
,
d
o
i:
1
0
.
1
5
8
6
6
/i
re
a
c
o
.
v
1
2
i1
.
1
5
6
1
9
.
[1
3
]
N.
Kh
e
z
a
m
i,
X.
G
u
il
lau
d
,
a
n
d
N.
Be
n
h
a
d
j
Bra
iek
,
“
M
u
l
ti
m
o
d
e
l
LQ
c
o
n
tro
ll
e
r
d
e
si
g
n
fo
r
v
a
riab
le
-
sp
e
e
d
a
n
d
v
a
riab
le
p
it
c
h
win
d
tu
r
b
in
e
s
a
t
h
i
g
h
win
d
s
p
e
e
d
s,
”
i
n
6
th
I
n
ter
n
a
t
i
o
n
a
l
M
u
l
ti
-
Co
n
fer
e
n
c
e
o
n
S
y
ste
ms
,
S
i
g
n
a
ls
a
n
d
De
v
ice
s
,
2
0
0
9
,
p
p
.
1
-
6
,
d
o
i:
1
0
.
1
1
0
9
/S
S
D.2
0
0
9
.
4
9
5
6
7
3
9
.
[1
4
]
B.
Ra
c
h
e
d
,
M
.
El
h
a
ro
u
ss
i
,
a
n
d
E.
Ab
d
e
lmo
u
n
im,
“
DSP
i
n
th
e
l
o
o
p
imp
lem
e
n
tatio
n
o
f
sli
d
in
g
m
o
d
e
a
n
d
su
p
e
r
twisti
n
g
sl
id
i
n
g
m
o
d
e
c
o
n
tro
ll
e
rs
c
o
m
b
in
e
d
wi
th
a
n
e
x
ten
d
e
d
k
a
lma
n
o
b
se
rv
e
r
f
o
r
wi
n
d
e
n
e
r
g
y
s
y
st
e
m
in
v
o
l
v
i
n
g
a
DFIG
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
n
E
n
e
rg
y
C
o
n
v
e
rs
io
n
(IR
EC
ON)
,
v
o
l.
8
,
n
o
.
1
,
p
p
.
2
6
-
37
,
2
0
2
0
,
d
o
i:
1
0
.
1
5
8
6
6
/i
re
c
o
n
.
v
8
i1
.
1
8
4
3
2
.
[1
5
]
M
.
Re
d
d
a
k
,
A
.
Be
r
d
a
i,
A
.
G
o
u
rm
a
,
J
.
B
o
u
k
h
e
ro
u
a
a
,
a
n
d
A
.
Be
lfi
q
i
h
,
“
E
n
h
a
n
c
e
d
slid
in
g
m
o
d
e
M
P
P
T
a
n
d
p
o
we
r
c
o
n
tro
l
f
o
r
wi
n
d
tu
r
b
i
n
e
sy
ste
m
s
d
riv
e
n
DFIG
(
d
o
u
b
ly
-
fe
d
i
n
d
u
c
ti
o
n
g
e
n
e
ra
to
r)
,
”
In
t.
Rev
.
Au
to
m.
Co
n
tro
l
.
,
v
o
l.
9
,
n
o
.
4
,
p
.
2
0
7
,
J
u
l.
2
0
1
6
,
d
o
i:
1
0
.
1
5
8
6
6
/i
re
a
c
o
.
v
9
i
4
.
9
7
3
9
.
[1
6
]
A.
Ka
lan
tar
Zad
e
h
,
L.
I
.
Ka
sh
k
o
o
li
,
a
n
d
S
.
A
.
M
irza
e
e
,
“
De
sig
n
in
g
a
p
o
we
r
in
v
e
rter
a
n
d
c
o
m
p
a
rin
g
b
a
c
k
-
ste
p
p
in
g
,
sli
n
d
in
g
-
m
o
d
e
a
n
d
fu
z
z
y
c
o
n
tro
ll
e
rs f
o
r
a
sin
g
le
-
p
h
a
se
in
v
e
rter i
n
a
n
e
m
e
rg
e
n
c
y
p
o
we
r
su
p
p
ly
,
”
Cie
n
c
ia
e
Na
tu
ra
, v
o
l.
3
7
,
n
o
.
2
,
p
p
.
1
7
5
-
1
8
1
,
2
0
1
5
,
d
o
i:
1
0
.
5
9
0
2
/2
1
7
9
4
6
0
X
2
0
7
6
9
.
[1
7
]
B.
Ra
c
h
e
d
,
M
.
El
h
a
ro
u
ss
i,
a
n
d
E.
Ab
d
e
lmo
u
n
im,
“
F
u
z
z
y
lo
g
ic
c
o
n
tro
l
f
o
r
wi
n
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
s
y
ste
m
b
a
se
d
o
n
DFIG
,
”
in
2
0
1
9
In
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
o
n
W
ire
les
s
T
e
c
h
n
o
lo
g
ies
,
Emb
e
d
d
e
d
a
n
d
In
tell
ig
e
n
t
S
y
ste
ms
(W
IT
S
)
,
2
0
1
9
,
p
p
.
1
-
6
,
d
o
i:
1
0
.
1
1
0
9
/W
I
TS
.
2
0
1
9
.
8
7
2
3
7
2
2
.
[1
8
]
Ed
g
a
r
N.
S
a
n
c
h
e
z
,
a
n
d
Riem
a
n
n
Ru
iz
-
Cru
z
,
Do
u
b
ly
fed
in
d
u
c
ti
o
n
g
e
n
e
ra
t
o
rs
:
c
o
n
tro
l
fo
r
win
d
e
n
e
rg
y
,
Bo
c
a
Ra
to
n
,
F
lo
ri
d
a
,
USA:
CRC P
re
ss
Tay
lo
r
a
n
d
F
ra
n
c
is G
ro
u
p
,
2
0
1
6
.
[1
9
]
O.
P
.
Bh
a
rti
,
R.
K.
S
a
k
e
t
,
a
n
d
S
.
K.
Na
g
a
r,
“
Co
n
tr
o
ll
e
r
d
e
sig
n
fo
r
DFIG
d
riv
e
n
b
y
v
a
riab
le
sp
e
e
d
win
d
t
u
rb
i
n
e
u
sin
g
sta
ti
c
o
u
t
p
u
t
fe
e
d
b
a
c
k
tec
h
n
i
q
u
e
,
”
En
g
i
n
e
e
rin
g
,
T
e
c
h
n
o
lo
g
y
&
Ap
p
li
e
d
S
c
ien
c
e
Res
e
a
rc
h
,
v
o
l.
6
,
n
o
.
4
,
p
p
.
1
0
5
6
-
1
0
6
1
,
2
0
1
6
,
d
o
i:
1
0
.
5
2
8
1
/ze
n
o
d
o
.
6
0
9
8
0
.
[2
0
]
N.
R.
Ba
b
u
,
a
n
d
P
.
Aru
lmo
z
h
iv
a
rm
a
n
,
“
Wi
n
d
e
n
e
rg
y
c
o
n
v
e
r
sio
n
sy
ste
m
s
-
tec
h
n
ica
l
re
v
iew
,
”
J
o
u
r
n
a
l
o
f
En
g
i
n
e
e
rin
g
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
l
o
g
y
,
v
o
l
.
8
,
n
o
.
4
,
p
p
.
4
9
3
-
5
0
7
,
2
0
1
3
.
[2
1
]
G
.
S
.
Ka
lo
i,
J.
Wan
g
,
a
n
d
M
.
H.
Ba
lo
c
h
,
“
Ac
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
w
e
r
c
o
n
tro
l
o
f
t
h
e
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
b
a
se
d
o
n
win
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
sy
ste
m
,
”
En
e
rg
y
Rep
o
rt
s
,
v
o
l.
2
,
No
v
.
2
0
1
6
,
p
p
.
1
9
4
-
2
0
0
,
d
o
i:
1
0
.
1
0
1
6
/
j.
e
g
y
r.
2
0
1
6
.
0
8
.
0
0
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
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&
Dr
i Sy
s
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I
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N:
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1481
[2
2
]
S
.
K
.
El
Kh
il
,
I.
S
lam
a
-
Be
lk
h
o
d
j
a
,
M
.
P
ietrz
a
k
-
Da
v
i
d
,
a
n
d
B.
d
e
F
o
rn
e
l,
“
P
o
we
r
d
istri
b
u
ti
o
n
law
i
n
a
d
o
u
b
l
y
fe
d
in
d
u
c
ti
o
n
m
a
c
h
in
e,
”
M
a
t
h
.
Co
mp
u
t
.
S
im
u
l
.
,
v
o
l.
7
1
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o
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-
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,
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/
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m
a
tco
m
.
2
0
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0
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1
9
.
[2
3
]
B.
Be
lt
ra
n
,
M
.
E.
H
.
Be
n
b
o
u
z
id
,
a
n
d
T.
Ah
m
e
d
-
Ali,
“
A
c
o
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in
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d
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ig
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g
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b
se
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a
n
d
h
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-
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sl
id
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f
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DFIG
-
b
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tu
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in
2
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0
IEE
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In
ter
n
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ti
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a
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.
[2
4
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B.
Be
lt
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M
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H
.
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n
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d
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,
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e
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id
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EE
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.
[2
5
]
B.
Ra
c
h
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d
,
M
.
E
lh
a
ro
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ss
i,
a
n
d
E
.
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d
e
lmo
u
n
im,
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DSP
in
t
h
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lo
o
p
imp
lem
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tatio
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f
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b
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p
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v
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sy
ste
m
b
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se
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d
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l
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ra
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ter
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l
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p
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.
[2
6
]
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.
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u
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.
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A
.
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h
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ji
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a
n
d
M
.
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a
a
b
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n
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,
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m
p
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ra
ti
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stu
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f
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ty
p
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o
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fo
r
DFIG
in
win
d
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rg
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c
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v
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sy
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m
,
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Pro
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Co
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.
[2
7
]
A.
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ra
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.
S
.
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n
g
a
n
d
A.
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a
,
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T
M
S
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0
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2
8
3
3
5
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p
r
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ra
m
m
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sin
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AT
L
AB
S
imu
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m
b
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d
c
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r:
Tec
h
n
iq
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e
s
a
n
d
a
d
v
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n
c
e
m
e
n
ts,
”
in
2
0
1
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IEE
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1
8
th
W
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rk
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p
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r E
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,
2
0
1
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p
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.
2
0
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8
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8
.
B
I
O
G
RAP
H
I
E
S O
F
AUTH
O
RS
Bo
u
c
h
a
i
b
R
a
c
h
e
d
wa
s b
o
rn
i
n
El
jad
id
a
,
M
o
r
o
c
c
o
.
He
is a P
h
D stu
d
e
n
t
in
t
h
e
Lab
o
ra
t
o
ry
o
f
S
ig
n
a
l
An
a
ly
sis
a
n
d
I
n
fo
rm
a
ti
o
n
P
ro
c
e
ss
in
g
,
F
S
T
S
e
tt
a
t,
Ha
ss
a
n
1
st
Un
i
v
e
rsity
,
M
o
r
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c
c
o
.
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re
c
e
iv
e
d
a
n
e
n
g
in
e
e
r’s
d
e
g
re
e
in
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e
c
tri
c
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l
En
g
i
n
e
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rin
g
fr
o
m
M
o
h
a
m
m
a
d
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S
c
h
o
o
l
o
f
En
g
i
n
e
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rin
g
M
o
ro
c
c
o
in
2
0
1
2
.
H
i
s
re
se
a
rc
h
a
c
ti
v
it
ies
in
c
l
u
d
e
t
h
e
d
e
sig
n
a
n
d
th
e
a
p
p
li
c
a
ti
o
n
o
f
r
o
b
u
st
d
ig
it
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l
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o
n
tr
o
l
i
n
th
e
wi
n
d
tu
r
b
in
e
p
o
we
r
sy
ste
m
s
b
a
se
d
o
n
Do
u
b
l
y
F
e
d
I
n
d
u
c
ti
o
n
G
e
n
e
r
a
to
r
c
o
n
n
e
c
ted
t
o
t
h
e
g
r
id
.
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a
lso
h
a
s
re
se
a
rc
h
in
ter
e
st
ra
n
g
in
g
fro
m
sig
n
a
l
p
ro
c
e
ss
in
g
to
in
d
u
stri
a
l
a
p
p
li
c
a
ti
o
n
o
f
Au
t
o
m
a
ti
c
Co
n
tr
o
l.
Mu
sta
p
h
a
Elh
a
r
o
u
ss
i
wa
s
b
o
r
n
in
Az
il
a
l
M
o
r
o
c
c
o
in
1
9
7
4
;
h
e
re
c
e
iv
e
d
h
is
P
h
D
i
n
Err
o
r
Co
rre
c
ti
n
g
C
o
d
e
s
fro
m
M
o
h
a
m
m
e
d
V
Un
iv
e
rsity
M
o
ro
c
c
o
in
2
0
1
3
.
In
2
0
1
4
h
e
j
o
in
e
d
,
a
s
P
ro
fe
ss
o
r,
a
p
p
li
e
d
P
h
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sic
s d
e
p
a
rt
m
e
n
t
o
f
F
S
T,
Ha
ss
a
n
I
U
n
iv
e
rsit
y
,
S
e
tt
a
t,
M
o
r
o
c
c
o
.
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ss
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n
e
Abd
e
l
m
o
u
n
im
,
re
c
e
iv
e
d
h
is
P
h
D
in
a
p
p
li
e
d
S
p
e
c
tra
l
a
n
a
ly
sis
fro
m
Li
m
o
g
e
s
Un
iv
e
rsity
a
t
sc
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c
e
a
n
d
tec
h
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a
l
F
a
c
u
lt
y
,
F
ra
n
c
e
i
n
1
9
9
4
.
In
1
9
9
6
,
h
e
j
o
in
e
d
,
a
s
P
ro
fe
ss
o
r
,
a
p
p
li
e
d
p
h
y
sic
s
d
e
p
a
rtme
n
t
o
f
sc
i
e
n
c
e
a
n
d
tec
h
n
ica
l
fa
c
u
lt
y
,
Ha
ss
a
n
1
st
Un
iv
e
rsit
y
,
S
e
tt
a
t,
M
o
ro
c
c
o
.
His
c
u
rre
n
t
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
d
i
g
it
a
l
sig
n
a
l
p
ro
c
e
ss
in
g
a
n
d
m
a
c
h
in
e
lea
rn
in
g
.
He
is
c
u
rre
n
tl
y
c
o
o
r
d
i
n
a
to
r
o
f
a
Ba
c
h
e
lo
r
o
f
S
c
ien
c
e
in
e
lec
tri
c
a
l
e
n
g
in
e
e
rin
g
a
n
d
re
se
a
rc
h
e
r
in
“
AST
I
”
S
y
ste
m
An
a
ly
sis
a
n
d
I
n
fo
rm
a
ti
o
n
Tec
h
n
o
lo
g
y
Lab
o
ra
to
ry
a
t
sc
ien
c
e
a
n
d
tec
h
n
ica
l
fa
c
u
lt
y
,
Ha
ss
a
n
1
st
Un
iv
e
rsity
,
S
e
tt
a
t,
M
o
r
o
c
c
o
.
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