I
nte
rna
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l J
o
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Appl
ied P
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ng
ineering
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I
J
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Vo
l.
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,
No
.
1
,
A
p
r
il
2
0
2
0
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p
p
.
1
2
~2
1
I
SS
N:
2252
-
8792
,
DOI
: 1
0
.
1
1
5
9
1
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j
ap
e.
v
9
.
i1
.
p
p
1
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21
12
J
o
ur
na
l ho
m
ep
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e
:
h
ttp
:
//ij
a
p
e.
ia
esco
r
e.
co
m
Co
m
pa
riso
n
stud
y
bet
w
een sev
en
-
lev
el SVP
WM
a
nd t
w
o
-
lev
el SVP
WM
stra
tegy
in
direct
v
e
ctor con
t
ro
l
o
f
a
DF
I
G
-
ba
sed
w
ind energy
conv
ersio
n sy
ste
m
s
H
a
bib
B
enbo
uh
en
ni
De
p
a
rtme
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t
o
f
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Na
ti
o
n
a
l
P
o
ly
tec
h
n
iq
u
e
S
c
h
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o
f
Ora
n
M
a
u
rice
A
u
d
in
,
A
lg
e
ria
Art
icle
I
nfo
AB
ST
RAC
T
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r
ticle
his
to
r
y:
R
ec
eiv
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Ma
r
2
2
,
2
0
1
9
R
ev
i
s
ed
Oct
1
4
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0
1
9
A
cc
ep
ted
Feb
1
9
,
2
0
2
0
In
th
is
p
a
p
e
r,
w
e
p
re
se
n
t
a
c
o
m
p
a
ra
ti
v
e
stu
d
y
b
e
t
w
e
e
n
t
w
o
-
lev
e
l
sp
a
c
e
v
e
c
to
r
p
u
lse
w
id
th
m
o
d
u
lati
o
n
(S
V
PW
M
)
a
n
d
se
v
e
n
-
lev
e
l
S
V
PW
M
s
trate
g
y
in
d
irec
t
v
e
c
to
r
c
o
n
tro
l
(D
V
C)
o
f
a
d
o
u
b
ly
f
e
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
(DFIG
)
b
a
se
d
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
s
y
ste
m
s
(W
EC
S
s).
T
h
e
f
e
a
si
b
il
it
y
a
n
d
e
ffe
c
ti
v
e
n
e
ss
o
f
th
e
t
w
o
stra
te
g
i
e
s
a
re
d
e
m
o
n
stra
ted
b
y
si
m
u
latio
n
re
su
lt
s.
T
h
e
o
b
tain
e
d
re
su
lt
s
s
h
o
w
e
d
th
a
t,
th
e
p
ro
p
o
se
d
DV
C
stra
teg
y
with
S
e
v
e
n
-
lev
e
l
S
V
PW
M
tec
h
n
iq
u
e
h
a
v
e
s
tato
r
a
n
d
r
o
to
r
c
u
rre
n
t
w
it
h
l
o
w
h
a
rm
o
n
ic
d
isto
rti
o
n
a
n
d
l
o
w
a
c
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
w
e
rs ri
p
p
les
th
a
n
tw
o
-
lev
e
l
S
V
PW
M
stra
teg
y
.
K
ey
w
o
r
d
s
:
DFI
G
DVC
Sev
e
n
-
lev
el
SVP
W
M
T
o
w
-
lev
el
SVP
W
M
W
E
C
Ss
T
h
is i
s
a
n
o
p
e
n
a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Hab
ib
B
en
b
o
u
h
en
n
i
,
Dep
ar
t
m
en
t o
f
E
lectr
ical
E
n
g
i
n
ee
r
in
g
,
Natio
n
al
P
o
l
y
tech
n
iq
u
e
Sch
o
o
l o
f
Or
an
Ma
u
r
ice
Au
d
i
n
,
Or
an
,
Alg
er
ia.
E
m
ail:
h
ab
ib
0
2
6
4
@
g
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
T
r
a
d
itio
n
all
y
,
d
irec
t
v
e
c
to
r
c
o
n
tr
o
l
(
DVC
)
s
tr
ateg
y
w
it
h
p
r
o
p
o
r
tio
n
al
-
i
n
teg
r
al
(
P
I
)
r
e
g
u
la
to
r
s
is
th
e
u
s
u
al
s
tr
ateg
y
e
m
p
lo
y
ed
cu
r
r
en
tl
y
f
o
r
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
sy
st
e
m
s
(
W
E
C
Ss
)
b
ased
o
n
d
o
u
b
ly
f
e
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
(DFIG
)
[
1
]
.
T
h
is
s
tr
ateg
y
p
r
ese
n
ts
a
g
o
o
d
d
ec
o
u
p
lin
g
b
et
w
ee
n
t
h
e
t
w
o
c
u
r
r
en
ts
a
x
e
s
(
d
an
d
q
)
,
th
er
ef
o
r
e
th
e
m
o
d
el
o
f
th
e
DFI
G
b
ec
o
m
es
s
i
m
p
le
a
n
d
P
I
r
eg
u
lato
r
s
ca
n
b
e
e
m
p
lo
y
ed
.
Ho
w
e
v
er
,
t
h
i
s
s
tr
ateg
y
o
f
co
n
tr
o
l
is
h
i
g
h
l
y
d
ep
en
d
in
g
o
n
t
h
e
ac
cu
r
ac
y
o
f
t
h
e
m
ac
h
i
n
e
p
ar
a
m
eter
s
,
e
m
p
l
o
y
s
d
iv
er
s
lo
o
p
s
an
d
n
ee
d
s
a
b
ig
r
eg
u
latio
n
s
tr
en
g
t
h
in
o
r
d
er
to
en
s
u
r
es st
ab
ilit
y
d
u
r
in
g
t
h
e
w
h
o
le
s
p
ee
d
d
o
m
ain
[
2
]
.
I
n
m
u
l
tile
v
el
i
n
v
er
ter
,
m
a
n
y
s
tr
ateg
ies
s
u
c
h
a
s
s
elec
ti
v
e
h
ar
m
o
n
ic
eli
m
i
n
atio
n
(
SHE)
[
3
]
,
p
u
ls
e
w
id
t
h
m
o
d
u
latio
n
(
P
W
M)
[
4
]
,
s
p
ac
e
v
ec
to
r
p
u
ls
e
w
id
th
m
o
d
u
latio
n
(
SVP
W
M)
s
tr
ateg
y
[
5
]
,
an
d
ac
tiv
e
h
ar
m
o
n
ic
eli
m
in
at
io
n
(
AHE
)
[
6
]
h
av
e
b
ee
n
u
s
ed
f
o
r
m
o
d
u
latio
n
co
n
tr
o
l.
Sin
ce
SVM
s
tr
ateg
y
h
a
v
e
b
ee
n
w
id
el
y
u
s
ed
f
o
r
co
n
tr
o
l
AC
m
ac
h
in
e
th
is
tec
h
n
iq
u
e
b
a
s
ed
o
n
t
h
e
p
r
in
cip
le
s
o
f
s
p
ac
e
v
ec
to
r
s
an
d
n
ee
d
to
ca
lcu
lated
o
f
s
ec
to
r
an
d
an
g
le
[
7
]
.
On
th
e
o
th
er
h
an
d
,
th
is
s
tr
ateg
y
g
iv
e
s
1
5
%
m
o
r
e
v
o
ltag
e
o
u
tp
u
t
co
m
p
ar
e
to
th
e
cla
s
s
ical
P
W
M
s
tr
ateg
y
[
8
]
.
Fu
r
th
er
m
o
r
e,
i
t
m
i
n
i
m
izes
th
e
h
ar
m
o
n
ic
d
i
s
to
r
tio
n
a
s
w
ell
as
lo
s
s
d
u
e
to
m
i
n
i
m
ize
n
u
m
b
er
o
f
co
m
m
u
ta
tio
n
s
i
n
th
e
i
n
v
er
ter
.
Nev
er
th
e
l
ess
,
th
is
s
tr
ate
g
y
is
d
if
f
ic
u
lt to
i
m
p
le
m
en
t.
I
n
[
9
]
,
th
e
a
u
t
h
o
r
p
r
o
p
o
s
e
a
n
e
w
S
VP
W
M
s
tr
ateg
y
b
ased
o
n
ca
lc
u
lated
t
h
e
m
i
n
i
m
u
m
(
Min
)
an
d
m
ax
i
m
u
m
(
Ma
x
)
o
f
th
r
ee
-
p
h
a
s
e
v
o
lta
g
es.
T
h
e
p
r
o
p
o
s
ed
SVP
W
M
s
tr
ateg
y
is
s
i
m
p
le
an
d
ea
s
y
to
i
m
p
le
m
e
n
t
co
m
p
ar
ed
t
o
th
e
class
ical
SV
M
tech
n
iq
u
e.
I
n
[
1
0
]
,
a
th
r
ee
-
le
v
el
SVP
W
M
s
tr
ateg
y
w
a
s
p
r
o
p
o
s
ed
b
ased
o
n
n
eu
r
al
n
et
w
o
r
k
s
co
n
tr
o
ller
.
T
h
r
ee
-
le
v
el
SVP
W
M
an
d
f
u
zz
y
lo
g
ic
w
a
s
co
m
b
in
ed
to
co
n
tr
o
l
th
e
DFI
G
-
b
ased
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
A
p
p
l P
o
w
er
E
n
g
I
SS
N:
2252
-
8792
C
o
mp
a
r
is
o
n
s
tu
d
y
b
etw
ee
n
s
ev
en
-
leve
l S
V
P
W
M a
n
d
tw
o
-
leve
l S
V
P
W
M
s
tr
a
teg
y
in
… (
Ha
b
ib
B
en
b
o
u
h
e
n
n
i
)
13
W
E
C
Ss
[
1
1
]
.
A
SVP
W
M
s
tr
ateg
y
w
as
d
esi
g
n
ed
to
co
n
tr
o
l
th
e
f
o
u
r
-
lev
el
i
n
v
er
ter
[
1
2
]
.
I
n
[
1
3
]
,
an
in
d
ir
ec
t
v
ec
to
r
co
n
t
r
o
l
(
I
VC
)
an
d
f
u
z
z
y
SVP
W
M
tech
n
iq
u
e
w
er
e
co
m
b
i
n
ed
to
r
ed
u
ce
s
th
e
h
ar
m
o
n
ic
d
is
to
r
tio
n
o
f
cu
r
r
en
t.
I
n
[
1
4
]
,
DVC
s
tr
ateg
y
b
a
s
ed
o
n
t
w
o
-
le
v
el
f
u
zz
y
S
VP
W
M
tech
n
iq
u
e
to
r
eg
u
late
s
tato
r
r
ea
ctiv
e
an
d
ac
tiv
e
p
o
w
er
o
f
th
e
DFI
G.
I
n
t
h
is
p
ap
er
,
a
SVP
W
M
s
t
r
ateg
y
o
f
t
h
e
s
ev
en
-
le
v
el
i
n
v
er
ter
is
p
r
ese
n
ted
.
T
h
e
r
o
to
r
s
id
e
co
n
v
er
ter
is
co
n
tr
o
lled
b
ased
o
n
DVC co
n
tr
o
l to
r
eg
u
late
r
ea
ctiv
e
a
n
d
ac
ti
v
e
p
o
w
er
s
.
T
h
e
DV
C
co
n
tr
o
l
w
i
th
s
ev
e
n
-
le
v
el
SV
M
s
tr
ateg
y
p
r
eser
v
e
s
t
h
e
ad
v
an
ta
g
e
s
o
f
t
h
e
co
n
v
e
n
tio
n
al
DVC
s
u
c
h
as
f
a
s
t
r
esp
o
n
s
e,
le
s
s
p
ar
a
m
eter
s
d
ep
en
d
en
ce
a
n
d
r
ed
u
ce
s
t
h
e
r
e
ac
tiv
e
a
n
d
ac
ti
v
e
p
o
w
er
s
r
ip
p
les.
I
n
t
h
is
w
o
r
k
,
w
e
ap
p
l
y
th
e
DVC
co
n
tr
o
l
o
n
th
e
DFI
G
u
s
in
g
s
ev
e
n
-
le
v
e
l
SVP
W
M
s
tr
ateg
y
co
m
p
ar
e
d
to
th
e
t
w
o
-
lev
el
SVP
W
M
s
tr
ateg
y
.
2.
M
UL
T
I
L
E
VE
L
SPAC
E
V
E
CT
O
R
M
O
DULAT
I
O
N
T
h
e
f
l
y
i
n
g
ca
p
ac
ito
r
(
FC
)
,
ca
s
ca
d
ed
H
-
b
r
id
g
e
(
C
H)
,
n
eu
tr
al
-
p
o
i
n
t
-
cla
m
p
ed
(
NP
C
)
in
v
er
ter
ar
e
th
e
th
r
ee
m
ai
n
d
if
f
er
en
t
m
u
ltil
ev
el
in
v
er
ter
s
tr
u
ct
u
r
es
w
h
ich
ar
e
u
s
ed
in
in
d
u
s
tr
ial
ap
p
licatio
n
s
w
it
h
s
ep
ar
ate
d
c
s
o
u
r
ce
s
[
1
5
]
.
T
h
e
m
u
ltil
e
v
e
l
in
v
er
ter
h
a
s
d
r
a
w
n
lar
g
e
i
n
te
r
est
in
h
i
g
h
p
o
w
er
i
n
d
u
s
tr
y
.
T
h
e
y
p
r
ese
n
t
a
la
test
s
et
o
f
asp
ec
ts
to
f
ac
il
itate
an
d
u
tili
ze
d
in
r
ea
cti
v
e
p
o
w
er
co
m
p
e
n
s
atio
n
.
T
r
ad
itio
n
al
t
w
o
-
l
ev
el
in
v
er
ter
r
eq
u
ir
e
s
ix
s
w
i
tch
e
s
an
d
t
w
o
d
c
s
o
u
r
ce
s
s
ep
ar
atel
y
[
1
6
]
.
T
h
e
m
ai
n
d
r
a
w
b
ac
k
i
n
tr
ad
itio
n
al
t
w
o
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lev
el
i
s
th
at
th
e
h
ar
m
o
n
ic
d
is
to
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tio
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o
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cu
r
r
en
t
an
d
v
o
ltag
e.
I
n
o
r
d
er
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r
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u
ce
h
ar
m
o
n
ic
d
is
to
r
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n
o
f
v
o
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e
an
d
cu
r
r
en
t,
th
e
s
ev
e
n
-
le
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el
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v
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ter
is
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r
o
p
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s
ed
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th
is
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A
f
iv
e
-
lev
e
l
in
v
er
ter
to
p
o
lo
g
y
is
p
r
esen
ted
in
[
1
7
]
.
Mu
lticar
r
ier
s
in
u
s
o
id
al
p
u
ls
e
w
id
t
h
m
o
d
u
la
tio
n
b
ased
m
u
ltil
ev
el
in
v
er
ter
is
p
r
esen
ted
in
[
1
8
]
.
T
h
e
m
o
d
u
latio
n
s
tr
ateg
y
u
s
ed
in
th
i
s
p
ap
er
i
s
SVP
W
M
s
tr
ateg
y
.
T
h
e
m
a
j
o
r
d
r
a
w
b
ac
k
o
f
th
is
m
o
d
u
la
tio
n
s
tr
ateg
y
i
s
its
co
m
p
le
x
co
n
tr
o
l
m
e
th
o
d
to
c
o
n
tr
o
l
th
e
m
u
lti
lev
el
in
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ter
.
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n
e
w
SVM
s
c
h
e
m
e
f
o
r
m
u
ltil
e
v
el
i
n
v
er
eter
p
r
esen
ted
[
9
]
,
th
e
p
r
o
p
o
s
ed
S
VP
W
M
s
ch
e
m
e
i
s
s
i
m
p
le
m
o
d
u
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n
s
ch
e
m
e
a
n
d
ea
s
y
to
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p
le
m
e
n
t
co
m
p
ar
ed
to
co
n
v
e
n
tio
n
al
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tech
n
iq
u
e.
T
h
is
p
r
o
p
o
s
ed
tech
n
iq
u
e
b
ased
o
n
ca
lcu
la
tin
g
t
h
e
m
i
n
i
m
u
m
an
d
m
a
x
i
m
u
m
o
f
th
r
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p
h
a
s
e
v
o
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g
e
s
.
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h
e
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M
s
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ateg
y
o
f
t
h
e
t
w
o
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lev
el
i
n
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ter
is
s
h
o
w
n
i
n
Fi
g
u
r
e
1
.
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h
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p
ap
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ts
a
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e
w
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m
o
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u
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n
s
c
h
e
m
e
o
f
s
ev
e
n
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lev
el
NP
C
in
v
er
ter
.
Fig
u
r
e
2
s
h
o
w
s
t
h
e
SVP
W
M
tech
n
iq
u
e
o
f
s
e
v
e
n
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lev
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l
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in
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ter
.
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t
is
o
b
s
er
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th
at
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h
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p
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p
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ed
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tr
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m
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tr
o
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u
r
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1
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a
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t
w
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l SV
PW
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s
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3.
DVC
CO
NT
RO
L
SCH
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h
e
DVC
co
n
tr
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l
is
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e
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im
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d
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t
s
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m
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DC
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lu
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th
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n
w
e
h
a
v
e
[
1
9
]
:
0
a
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qs
s
ds
(1
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I
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N
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8792
I
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I
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4
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4.
SI
M
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h
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p
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l
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h
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le
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s
t
r
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DV
C
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S
VP
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f
o
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ap
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d
s
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tlab
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u
s
ed
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h
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k
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1
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MW
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w
h
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o
m
i
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m
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ar
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in
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g
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.
5
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3
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9
6
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5
0
Hz.
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ar
a
m
eter
s
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p
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,
R
s
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r
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0
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3
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r
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ag
n
etic
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r
q
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
I
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A
p
p
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P
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r
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2
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16
4
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1
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Ref
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est
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u
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es
5
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9
s
h
o
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d
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m
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7
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,
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o
r
th
e
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s
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T
HD
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m
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u
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5
.
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f
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r
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r
DVC
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e
6
.
T
HD
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en
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r
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RE
F
E
R
E
NC
E
S
[
1
]
H.
Be
n
b
o
u
h
e
n
n
i,
“
Co
m
p
a
ra
ti
v
e
s
tu
d
y
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e
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e
n
d
if
fe
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t
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o
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tro
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e
th
o
d
s
a
p
p
li
e
d
to
D
F
IG
w
in
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tu
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n
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s,”
M
a
jl
e
si Jo
u
rn
a
l
o
f
M
e
c
h
a
tro
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y
ste
ms
,
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6
,
n
o
.
4
,
p
p
.
1
5
-
2
3
,
2
0
1
8
.
[
2
]
Z.
Bo
u
d
jem
a
,
A
.
M
e
ro
u
f
e
l,
A
.
Am
a
ri,
“
Ro
b
u
st
c
o
n
tro
l
o
f
a
d
o
u
b
l
y
fe
d
in
d
u
c
ti
o
n
g
e
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e
ra
to
r
(DFIG
)
f
e
d
b
y
a
d
irec
t
AC
-
A
C
c
o
n
v
e
rter,”
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e
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lą
d
El
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k
tro
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y
,
v
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o
.
1
2
,
p
p
.
2
1
3
-
2
2
1
,
2
0
1
2
.
[
3
]
P
.
L
.
Ka
m
a
n
i
a
n
d
M
.
A
.
M
u
ll
a
,
“
M
id
d
le
-
L
e
v
e
l
S
HE
P
u
lse
-
Am
p
li
tu
d
e
M
o
d
u
latio
n
f
o
r
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
In
v
e
rters
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s o
n
In
d
u
stria
l
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e
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tro
n
ics
,
v
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6
5
,
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o
.
3
,
p
p
.
2
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2
8
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8
3
3
,
2
0
1
8
.
[
4
]
S
.
K.
S
a
h
o
o
a
n
d
T
.
Bh
a
tt
a
c
h
a
ry
a
,
“
P
h
a
se
-
S
h
if
ted
Ca
rrier
-
Ba
se
d
S
y
n
c
h
ro
n
ize
d
S
i
n
u
s
o
id
a
l
P
W
M
T
e
c
h
n
iq
u
e
s
f
o
r
a
Ca
sc
a
d
e
d
H
-
Brid
g
e
M
u
lt
il
e
v
e
l
In
v
e
rter
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
P
o
we
r
El
e
c
tro
n
ics
,
v
o
l
.
3
3
,
n
o
.
1
,
p
p
.
5
1
3
-
5
2
4
,
2
0
1
8
.
[
5
]
B.
Kira
n
k
u
m
a
r,
Y.
V
.
S
iv
a
Re
d
d
y
a
n
d
M
.
V
ij
a
y
a
k
u
m
a
r,
“
M
u
lt
il
e
v
e
l
in
v
e
rter
w
it
h
sp
a
c
e
v
e
c
t
o
r
m
o
d
u
lati
o
n
:
in
telli
g
e
n
c
e
d
irec
t
t
o
rq
u
e
c
o
n
tr
o
l
o
f
in
d
u
c
ti
o
n
m
o
to
r,
”
IET
Po
we
r
El
e
c
tro
n
ics
,
v
o
l.
1
0
,
n
o
.
1
0
,
p
p
.
1
1
2
9
-
1
1
3
7
,
2
0
1
7
.
[
6
]
Z.
Du
,
L
.
M
.
T
o
lb
e
rt
a
n
d
J.
N.
Ch
ias
so
n
,
“
A
c
ti
v
e
h
a
r
m
o
n
ic
e
li
m
in
a
ti
o
n
f
o
r
m
u
lt
il
e
v
e
l
c
o
n
v
e
rters
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r E
lec
tro
n
i
c
s
, v
o
l.
2
1
,
n
o
.
2
,
p
p
.
4
5
9
-
4
6
9
,
2
0
0
6
.
[
7
]
H.
Ob
d
a
n
,
M
.
C.
Oz
k
il
i
c
,
“
P
e
rf
o
rm
a
n
c
e
Co
m
p
a
riso
n
o
f
2
-
lev
e
l
a
n
d
3
-
lev
e
l
c
o
n
v
e
rters
i
n
a
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
s
y
ste
m
,
”
Re
v
.
Ro
u
m.
S
c
i.
T
e
c
h
n
.
-
El
e
c
tro
tec
h
n
.
E
t
E
n
e
rg
,
v
o
l.
6
1
,
n
o
.
4
,
p
p
.
3
8
8
-
3
9
3
,
2
0
1
6
.
[
8
]
Y.
Be
k
a
k
ra
,
D.
Be
n
A
tt
o
u
s,
“
Co
m
p
a
riso
n
stu
d
y
b
e
tw
e
e
n
S
V
M
a
n
d
P
W
M
i
n
v
e
rter
i
n
sli
d
in
g
m
o
d
e
c
o
n
tro
l
o
f
a
c
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
w
e
r
c
o
n
tr
o
l
o
f
a
DFIG
f
o
r
v
a
riab
le
sp
e
e
d
w
in
d
e
n
e
rg
y
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Re
n
e
wa
b
le
E
n
e
rg
y
Res
e
a
rc
h
, v
o
l.
2
,
n
o
.
3
,
p
p
.
4
7
1
-
4
7
6
,
2
0
1
2
.
[
9
]
H.
Be
n
b
o
u
h
e
n
n
i
,
“
Co
m
p
a
ra
ti
v
e
stu
d
y
b
e
tw
e
e
n
NSV
M
a
n
d
F
S
V
M
stra
teg
y
f
o
r
a
DFIG
-
b
a
se
d
w
in
d
tu
rb
i
n
e
sy
ste
m
c
o
n
tro
ll
e
d
b
y
n
e
u
ro
-
se
c
o
n
d
o
rd
e
r
slid
in
g
m
o
d
e
,
”
M
a
jl
e
si
J
o
u
rn
a
l
o
f
M
e
c
h
a
tro
n
ic
S
y
ste
ms
,
v
o
l.
7
,
n
o
.
1
,
p
p
.
3
3
-
4
3
,
2
0
1
8
.
[
1
0
]
H.
Be
n
b
o
u
h
e
n
n
i,
Z.
Bo
u
d
jem
a
,
A.
Be
laid
i,
“
DFIG
-
b
a
se
d
w
in
d
tu
r
b
in
e
sy
st
e
m
u
sin
g
th
re
e
-
lev
e
l
n
e
u
ra
l
sp
a
c
e
v
e
c
to
r
m
o
d
u
latio
n
tec
h
n
i
q
u
e
,
”
M
a
j
les
i
J
o
u
rn
a
l
o
f
M
e
c
h
a
tr
o
n
ic
S
y
ste
ms
,
v
o
l.
7
,
n
o
.
2
,
p
p
.
37
-
48
,
2
0
1
8
.
[
1
1
]
H.
Be
n
b
o
u
h
e
n
n
i
,
Z.
B
o
u
d
jem
a
,
A
.
Be
laid
i,
“
Us
in
g
th
re
e
-
lev
e
l
F
u
z
z
y
sp
a
c
e
v
e
c
to
r
m
o
d
u
latio
n
m
e
th
o
d
to
im
p
ro
v
e
in
d
irec
t
v
e
c
to
r
c
o
n
tr
o
l
stra
teg
y
o
f
a
DFIG
b
a
se
d
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
sy
ste
m
s,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
of
S
ma
r
t
Gr
id
,
v
o
l.
2
,
n
o.
3,
p
p
.
1
5
5
-
1
7
1
,
2
0
1
8
.
[
1
2
]
H.
Be
n
b
o
u
h
e
n
n
i,
Z.
B
o
u
d
jem
a
,
A
.
Be
l
a
id
i,
“
DFI
G
-
b
a
se
d
w
in
d
tu
rb
i
n
e
sy
ste
m
u
sin
g
f
o
u
r
-
lev
e
l
F
S
V
M
stra
teg
y
,
”
M
a
jl
e
si Jo
u
rn
a
l
o
f
E
n
e
rg
y
M
a
n
a
g
e
me
n
t
,
v
o
l.
6
,
n
o
.
3
,
p
p
.
7
-
1
9
,
2
0
1
7
.
[
1
3
]
H.
Be
n
b
o
u
h
e
n
n
i,
Z
.
Bo
u
d
jem
a
,
A
.
Be
laid
i,
“
In
d
irec
t
v
e
c
to
r
c
o
n
t
ro
l
o
f
a
DFIG
su
p
p
li
e
d
b
y
a
two
-
lev
e
l
F
S
VM
in
v
e
rter f
o
r
w
in
d
tu
r
b
i
n
e
sy
ste
m
,
”
M
a
jl
e
si Jo
u
r
n
a
l
o
f
El
e
c
trica
l
E
n
g
in
e
e
rin
g
, v
o
l.
1
3
,
n
o
.
1
,
p
p
.
4
5
-
5
4
,
2
0
1
9
.
[
1
4
]
H.
Be
n
b
o
u
h
e
n
n
i,
Z.
Bo
u
d
jem
a
,
A
.
Be
laid
i,
“
Dire
c
t
v
e
c
to
r
c
o
n
tr
o
l
o
f
a
DFIG
su
p
p
li
e
d
b
y
a
n
i
n
telli
g
e
n
t
S
V
M
in
v
e
rter
f
o
r
w
in
d
tu
rb
in
e
sy
ste
m
,
”
Ira
n
ia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
El
e
c
tro
n
ic
En
g
i
n
e
e
rin
g
,
v
o
l.
1
5
,
n
o
.
1
,
p
p
-
45
-
5
5
,
2
0
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9
.
0
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8
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0
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9
0
.
9
5
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21
[
1
5
]
T
.
V
e
n
k
a
tram
a
n
,
S
.
P
e
rias
a
n
y
,
“
M
u
lt
il
e
v
e
l
in
v
e
rter
t
o
p
o
lo
g
y
w
it
h
m
o
d
if
ied
p
u
lse
w
id
th
m
o
d
u
lati
o
n
a
n
d
re
d
u
c
e
d
sw
it
c
h
c
o
u
n
t,
”
Act
a
Po
lyte
c
h
n
ica
Hu
n
g
a
ric
a
,
v
o
l.
1
5
,
n
o
.
2
,
p
p
.
1
4
1
-
1
6
7
,
2
0
1
8.
[
1
6
]
A
.
T
h
iru
v
e
n
g
a
d
a
m
,
K.
V
d
h
a
y
a
k
u
m
a
r,
“
A
n
e
n
h
a
n
c
e
d
H
-
b
rid
g
e
m
u
lt
il
e
v
e
l
in
v
e
rter
w
it
h
re
d
u
c
e
d
T
H
D,
c
o
n
d
u
c
ti
o
n
,
a
n
d
sw
it
c
h
in
g
lo
ss
e
s u
si
n
g
sin
u
s
o
id
a
l
trac
k
in
g
a
lg
o
rit
h
m
,
”
En
e
rg
ies
,
v
o
l.
1
2
,
n
o
.
8
1
,
p
p
.
2
-
2
2
,
2
0
1
9
.
[
1
7
]
C.
I.
Od
e
h
a
n
d
D.
B.
N.
Nn
a
d
i,
“
S
i
n
g
le
-
p
h
a
se
9
-
lev
e
l
h
y
b
rid
ise
d
c
a
sc
a
d
e
d
m
u
lt
il
e
v
e
l
in
v
e
rte
r,
”
IET
Po
we
r
El
e
c
tro
n
ics
, v
o
l.
6
,
n
o
.
3
,
p
p
.
4
6
8
-
4
7
7
,
2
0
1
3
.
[
1
8
]
K.
K.
G
u
p
ta,
S
.
Ja
in
,
“
T
o
p
o
l
o
g
y
f
o
r
m
u
lt
il
e
v
e
l
in
v
e
rt
e
rs
to
a
tt
a
in
m
a
x
i
m
u
m
n
u
m
b
e
r
o
f
l
e
v
e
ls
fro
m
g
i
v
e
n
DC
so
u
rc
e
s,”
IET
P
o
we
r E
lec
tro
n
ics
,
v
o
l.
5
,
n
o
.
4
,
p
p
.
4
3
5
-
4
4
6
,
2
0
1
2
.
[
1
9
]
M
.
A
d
jo
u
d
j,
M
.
A
b
id
,
A
.
A
iss
a
o
u
i,
Y.
Ra
m
d
a
n
i,
H.
B
o
u
n
o
u
a
,
“
S
li
d
i
n
g
m
o
d
e
c
o
n
tr
o
l
o
f
a
d
o
u
b
l
y
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
f
o
r
w
in
d
tu
rb
i
n
e
s,”
Rev
.
Ro
u
m
.
S
c
i.
T
e
c
h
n
.
-
El
e
c
tro
tec
h
n
.
Et
E
n
e
rg
,
v
o
l.
5
6
,
n
o
.
1
,
p
p
.
1
5
-
2
4
,
2
0
1
1
.
[
2
0
]
A
.
M
e
d
jb
e
r,
A
.
M
o
u
a
ld
ia,
A
.
M
e
ll
it
,
M
.
A
.
G
u
e
ss
o
u
m
,
“
Co
m
p
a
r
a
ti
v
e
S
tu
d
y
Be
twe
e
n
Dire
c
t
a
n
d
In
d
irec
t
V
e
c
to
r
Co
n
tr
o
l
A
p
p
li
e
d
to
A
W
in
d
T
u
r
b
in
e
E
q
u
ip
p
e
d
w
it
h
a
D
o
u
b
le
-
F
e
d
A
s
y
n
c
h
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