I
nte
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t
io
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l J
o
urna
l o
f
P
o
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E
lect
ro
nics
a
nd
Driv
e
Sy
s
t
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m
(
I
J
P
E
DS
)
Vo
l.
8
,
No
.
4
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Dec
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er
2
0
1
7
,
p
p
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4
~
1
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6
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8
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8
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1
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5
9
1
/
i
j
p
ed
s
.
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i
4
.
p
p
1
9
5
4
-
1962
1954
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
jo
u
r
n
a
l.c
o
m/o
n
lin
e/in
d
ex
.
p
h
p
/I
JP
E
DS
A Co
m
plet
e Mo
d
eling
and Co
ntrol
f
o
r Win
d Turbi
n
e Ba
sed o
f
a
Do
ubly
F
ed I
ndu
ction
G
enerato
r
u
sing
Direc
t
P
o
w
er Control
F
a
w
zi
Sena
ni,
Abederr
ez
a
k
Ra
ha
b,
H
o
cine
B
ena
lla
L
a
b
o
ra
to
ire d
e
l’E
lec
tro
tec
h
n
i
q
u
e
d
e
Co
n
sta
n
ti
n
e
(L
EC),
F
a
c
u
lt
é
d
e
s S
c
ien
c
e
s d
e
la T
e
c
h
n
o
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g
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Un
iv
e
rsité d
e
s f
rè
re
s M
e
n
to
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ri
d
e
Co
n
sta
n
ti
n
e
1
,
A
in
e
l
-
b
e
y
2
5
0
0
0
Co
n
sta
n
ti
n
e
,
A
lg
e
rie
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
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to
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y:
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J
u
n
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0
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ev
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1
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0
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cc
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v
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1
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T
h
e
p
a
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e
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o
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m
o
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e
li
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g
a
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d
c
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tr
o
l
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y
o
f
v
a
riab
le
sp
e
e
d
w
in
d
tu
rb
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e
sy
ste
m
(
W
TS
)
d
riv
e
n
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
rs
(DFIG
).
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b
a
c
k
-
to
-
b
a
c
k
c
o
n
v
e
rter
is
e
m
p
lo
y
e
d
f
o
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th
e
p
o
w
e
r
c
o
n
v
e
rsio
n
e
x
c
h
a
n
g
e
d
b
e
twe
e
n
DFIG
a
n
d
g
rid
.
T
h
e
w
in
d
tu
rb
in
e
is
o
p
e
ra
ted
a
t
th
e
m
a
x
i
m
u
m
p
o
w
e
r
p
o
in
t
trac
k
in
g
(M
P
P
T
)
m
o
d
e
it
s
m
a
x
i
m
u
m
e
ff
ici
e
n
c
y
.
Dire
c
t
p
o
w
e
r
c
o
n
tro
l
(DP
C)
b
a
se
d
o
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se
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ti
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g
o
f
th
e
a
p
p
ro
p
riate
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to
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v
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lt
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g
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e
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to
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a
n
d
th
e
e
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o
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th
e
a
c
ti
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n
d
re
a
c
ti
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e
p
o
w
e
r,
th
e
c
o
n
tro
l
stra
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o
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ro
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sid
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o
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o
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in
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q
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f
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P
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T
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d
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r
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o
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I
n
th
e
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l
sy
ste
m
o
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rid
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o
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s
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d
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tain
a
c
o
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t
DC
-
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in
k
v
o
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g
e
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a
n
d
th
e
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a
c
ti
v
e
p
o
w
e
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is
s
e
t
to
0
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S
im
u
l
a
ti
o
n
s
re
su
lt
s
u
sin
g
M
AT
LAB/S
IM
UL
INK
a
re
p
re
se
n
ted
a
n
d
d
isc
u
ss
e
d
o
n
a
1
.
5
M
W
DFIG
w
in
d
g
e
n
e
ra
ti
o
n
sy
ste
m
d
e
m
o
n
stra
te t
h
e
e
ff
e
c
ti
v
e
n
e
ss
o
f
t
h
e
p
ro
p
o
se
d
c
o
n
tro
l
.
K
ey
w
o
r
d
:
B
ac
k
-
to
-
b
ac
k
co
n
v
er
ter
DFI
G
DP
C
MP
PT
W
T
S
Co
p
y
rig
h
t
©
201
7
In
s
t
it
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Sen
a
n
i Fa
w
zi,
L
ab
o
r
ato
ir
e
d
e
l’
E
lectr
o
tech
n
i
q
u
e
d
e
C
o
n
s
ta
n
ti
n
e
(
L
E
C
)
,
Facu
lté
d
es Sc
ien
ce
s
d
e
la
T
ec
h
n
o
lo
g
ie,
Un
i
v
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ité
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èr
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en
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ta
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1
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A
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2
5
0
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C
o
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t
in
e,
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l
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E
m
ail: se
n
a
n
i.
f
o
u
zi
@
g
m
ai
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o
m
1.
I
NT
RO
D
UCT
I
O
N
A
ct
u
all
y
,
t
h
er
e
ar
e
s
ev
er
al
s
o
u
r
ce
s
o
f
r
en
e
w
ab
le
e
n
er
g
y
,
w
i
n
d
en
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g
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,
h
y
d
r
o
p
o
w
er
,
g
eo
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m
al
en
er
g
y
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b
io
m
a
s
s
,
b
io
f
u
el
an
d
s
o
lar
en
er
g
y
[
1
]
.
W
in
d
a
n
d
s
o
lar
elec
tr
ic
p
o
w
er
g
e
n
er
atio
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y
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te
m
s
ar
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p
o
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u
lar
r
en
e
w
ab
le
en
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g
y
r
eso
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r
ce
s
[
2
]
.
T
h
e
w
i
n
d
en
er
g
y
co
n
v
er
s
i
o
n
s
y
s
te
m
(
W
E
C
S)
h
a
s
b
ee
n
co
n
s
id
er
ed
to
b
e
o
n
e
o
f
th
e
m
ai
n
en
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g
y
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ce
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ar
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g
r
o
w
in
g
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ap
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m
o
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g
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e
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th
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en
e
w
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le
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atio
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p
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tech
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o
lo
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d
u
e
to
it
s
f
r
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y
av
a
ilab
le,
clea
n
a
n
d
r
en
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w
ab
le
ch
ar
ac
t
er
[
3
-
5
]
.
W
in
d
en
er
g
y
co
n
v
er
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io
n
s
y
s
te
m
s
ar
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asicall
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i
v
id
ed
in
to
t
w
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x
e
d
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d
v
ar
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s
p
ee
d
.
Var
iab
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s
p
ee
d
W
E
C
S
h
av
e
b
ee
n
m
a
n
y
ad
v
a
n
ta
g
es:
o
p
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ati
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n
at
m
a
x
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m
ized
p
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w
er
ca
p
tu
r
e
o
v
er
a
w
id
e
r
a
n
g
e
o
f
w
i
n
d
s
p
ee
d
s
,
r
ed
u
ce
d
m
ec
h
an
ical
s
tr
ess
e
s
i
m
p
o
s
ed
o
n
th
e
tu
r
b
in
e,
an
d
i
m
p
r
o
v
ed
p
o
w
er
q
u
alit
y
co
m
p
ar
ed
w
i
th
f
ix
ed
s
p
ee
d
W
E
C
S[
5
]
,
[
6
]
.
T
h
e
v
ar
iab
le
s
p
ee
d
W
E
C
S
u
s
i
n
g
t
h
e
DFI
Gs
ar
e
s
u
itab
le
a
n
d
p
r
o
m
i
s
in
g
f
o
r
ap
p
licatio
n
i
n
w
i
n
d
e
n
er
g
y
.
T
h
e
DFI
G
i
s
p
a
r
tic
u
lar
l
y
e
m
p
lo
y
ed
f
o
r
h
ig
h
-
p
o
w
er
ap
p
licatio
n
s
,
d
u
e
to
th
e
lo
w
er
co
n
v
er
ter
s
co
s
t a
n
d
lo
w
er
p
o
w
er
lo
s
s
es [
7
].
T
h
e
W
E
C
S
b
ased
DFI
Gs
co
n
tr
o
l
co
m
p
r
is
es
b
o
th
th
e
r
o
to
r
s
id
e
co
n
v
er
ter
(
R
SC
)
co
m
b
in
e
s
th
e
tech
n
iq
u
e
o
f
MP
P
T
an
d
g
r
id
s
id
e
co
n
v
er
ter
(
GSC
)
co
n
tr
o
ller
s
s
o
th
at
t
h
e
R
SC
co
n
tr
o
ls
s
tato
r
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
an
d
t
h
e
GS
C
r
eg
u
late
s
d
c
-
lin
k
v
o
ltag
e
a
s
w
ell
as
g
en
er
ate
s
an
in
d
ep
en
d
en
t
r
ea
ctiv
e
p
o
w
er
th
at
i
s
in
j
ec
ted
in
to
t
h
e
g
r
id
[
7
]
,
[
8
]
,
f
o
r
R
SC
tr
ad
itio
n
all
y
th
e
v
ec
to
r
co
n
tr
o
l
(
VC
)
b
ased
o
n
a
s
tato
r
f
l
u
x
o
r
ien
tatio
n
[
7
]
,
[
9
]
u
s
in
g
p
r
o
p
o
r
tio
n
al
–
in
te
g
r
al
(
P
I
)
co
n
tr
o
ller
s
[
10
]
,
Ho
w
e
v
er
,
it h
as
s
o
m
e
d
is
ad
v
a
n
tag
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s
,
s
u
ch
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its
d
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d
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ce
o
n
t
h
e
m
ac
h
in
e
p
ar
a
m
eter
s
v
ar
iatio
n
,
th
at
its
p
er
f
o
r
m
a
n
ce
lar
g
el
y
d
ep
en
d
s
o
n
th
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t
u
n
i
n
g
o
f
th
e
P
I
p
ar
a
m
eter
s
,
m
u
s
t
b
e
o
p
ti
m
al
l
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t
u
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to
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s
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r
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t
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s
y
s
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m
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tab
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t
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w
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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I
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N:
2
0
8
8
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8
694
A
C
o
mp
lete
Mo
d
elin
g
a
n
d
C
o
n
tr
o
l fo
r
Win
d
Tu
r
b
in
e
B
a
s
ed
o
f a
Do
u
b
ly
F
ed
…
(
F
a
w
z
i
S
en
a
n
i
)
1955
an
d
attain
s
u
f
f
icie
n
t
d
y
n
a
m
i
c
r
esp
o
n
s
e
d
u
r
in
g
t
h
e
tr
an
s
i
en
t
co
n
d
itio
n
s
[
7
]
.
I
n
o
r
d
e
r
to
o
v
er
co
m
e
th
e
af
o
r
e
m
e
n
tio
n
ed
p
r
o
b
le
m
s
,
d
if
f
er
en
t
n
o
n
l
in
ea
r
co
n
tr
o
l
m
eth
o
d
s
s
u
ch
a
s
d
ir
ec
t
to
r
q
u
e
co
n
tr
o
l/d
ir
ec
t
p
o
w
er
co
n
tr
o
l
(
DT
C
/DP
C
)
h
av
e
b
ee
n
p
r
o
p
o
s
ed
o
f
DFI
G
b
ased
w
in
d
tu
r
b
i
n
e
s
y
s
te
m
s
h
as
p
r
o
p
o
s
ed
r
ec
en
tl
y
[
1
1
]
,
[1
2
]
.
T
h
ese
co
n
tr
o
l
m
et
h
o
d
s
d
ir
ec
tl
y
d
etec
t
th
e
er
r
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r
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f
lu
x
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d
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p
o
w
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d
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en
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h
o
o
s
e
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e
d
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d
r
o
t
o
r
v
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ltag
e
to
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GB
T
s
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a
lo
o
k
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p
tab
le.
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h
e
m
ai
n
ad
v
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et
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s
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,
g
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ates
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en
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Fo
r
GSC
v
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s
tr
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ee
n
p
r
o
p
o
s
ed
.
I
t
ca
n
b
e
clas
s
if
ied
f
o
r
its
u
s
e
o
f
cu
r
r
en
t
lo
o
p
co
n
tr
o
ller
s
o
r
ac
t
iv
e/r
ea
cti
v
e
p
o
w
er
co
n
tr
o
ller
s
.
T
h
e
w
ell
-
k
n
o
w
n
m
e
th
o
d
o
f
in
d
ir
ec
t
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
w
er
co
n
tr
o
l
is
b
as
ed
o
n
cu
r
r
en
t
v
ec
to
r
o
r
ien
tati
o
n
w
it
h
r
esp
ec
t
to
t
h
e
li
n
e
v
o
ltag
e
v
ec
to
r
.
I
t
is
ca
lled
v
o
ltag
e
-
or
ien
ted
co
n
tr
o
l
(
VOC)
[
1
3
]
.
Ho
w
e
v
er
,
th
e
f
in
al
co
n
f
ig
u
r
atio
n
an
d
p
er
f
o
r
m
an
ce
o
f
t
h
e
VOC
s
y
s
te
m
lar
g
e
l
y
d
ep
en
d
o
n
t
h
e
q
u
alit
y
o
f
t
h
e
ap
p
lied
cu
r
r
en
t
co
n
tr
o
l
s
tr
ate
g
y
.
Ov
er
th
e
last
f
e
w
y
ea
r
s
,
a
n
in
ter
esti
n
g
e
m
er
g
i
n
g
co
n
tr
o
l
t
ec
h
n
iq
u
e
h
a
s
b
ee
n
d
ir
ec
t
p
o
w
er
co
n
tr
o
l
(
D
P
C
)
[
1
4
-
1
6
]
.
D
PC
b
ec
o
m
e
s
a
s
tu
d
y
h
o
ts
p
o
t
f
o
r
its
s
i
m
p
le
co
n
tr
o
l
m
o
d
el,
t
h
er
e
ar
e
n
o
i
n
ter
n
al
c
u
r
r
en
t
lo
o
p
s
an
d
n
o
P
W
M
m
o
d
u
lato
r
b
lo
ck
,
f
ast
d
y
n
a
m
ic
r
esp
o
n
s
e
[
1
3
]
,
[
1
5
]
,
[
1
6
]
,
an
d
th
e
co
n
v
er
ter
s
w
itc
h
i
n
g
s
tates
ar
e
ap
p
r
o
p
r
i
atel
y
s
elec
ted
b
y
a
s
w
itc
h
in
g
tab
le
b
ased
o
n
th
e
in
s
tan
tan
eo
u
s
er
r
o
r
s
,
b
et
wee
n
t
h
e
,
co
m
m
a
n
d
ed
an
d
e
s
ti
m
ated
v
al
u
es
o
f
in
s
ta
n
ta
n
eo
u
s
ac
ti
v
e
a
n
d
r
ea
c
tiv
e
p
o
w
er
,
an
d
t
h
e
p
o
w
er
s
o
u
r
ce
v
o
lta
g
e
v
ec
to
r
p
o
s
itio
n
[
1
4
]
o
r
v
ir
tu
al
-
f
l
u
x
v
ec
to
r
p
o
s
itio
n
[
1
5
]
,
[
1
6
].
I
n
t
h
is
s
t
u
d
y
,
D
FIG
s
ar
e
o
p
e
r
ated
in
MP
P
T
m
o
d
e
an
d
,
t
h
er
ef
o
r
e,
s
p
ee
d
co
n
tr
o
l
is
n
ec
ess
ar
y
an
d
en
s
u
r
ed
b
y
(
I
P
)
r
eg
u
lato
r
f
o
r
t
h
e
co
n
tr
o
l
s
tr
ateg
y
o
n
t
h
e
R
S
C
.
T
h
is
las
t
is
co
n
tr
o
lled
b
y
d
ir
ec
t
p
o
w
er
co
n
tr
o
l
(
DP
C
)
an
d
GSC
is
co
n
tr
o
lled
b
y
D
ir
ec
t P
o
w
er
C
o
n
tr
o
l (
DP
C
)
.
2.
M
O
DE
L
I
N
G
O
F
W
E
CS C
O
M
P
O
NE
NT
S
A
t
y
p
ical
W
E
C
S
co
n
f
i
g
u
r
atio
n
h
a
s
b
ee
n
p
r
ese
n
ted
i
n
Fi
g
u
r
e
1
.
T
h
e
co
n
s
id
er
ed
to
p
o
l
o
g
y
co
n
s
is
ts
o
f
:
T
u
r
b
in
e
v
ia
a
g
ea
r
b
o
x
co
n
n
ec
ted
to
DFI
Gs,
w
h
ic
h
th
e
s
tato
r
o
f
DFI
G
s
co
n
n
ec
ted
d
ir
ec
tl
y
to
th
e
g
r
id
a
n
d
t
h
e
r
o
to
r
is
co
n
n
ec
ted
to
b
ac
k
-
to
-
b
ac
k
co
n
v
er
ter
,
w
h
ich
i
n
cl
u
d
es
R
S
C
an
d
GS
C
[
4
]
,
[
17
]
.
Fig
u
r
e
1
.
T
h
e
s
ch
e
m
e
o
f
v
ar
ia
b
le
s
p
ee
d
w
in
d
t
u
r
b
in
e
s
y
s
te
m
w
it
h
DFI
G
s
an
d
b
ac
k
-
to
-
b
ac
k
co
n
v
er
ter
s
y
s
te
m
2
.
1
.
M
o
del o
f
W
ind
T
urbi
ne
A
er
o
dy
na
m
ic
T
h
e
ae
r
o
d
y
n
a
m
ic
p
o
w
er
P
tur
ca
p
tu
r
ed
b
y
t
h
e
w
i
n
d
tu
r
b
in
e
i
s
g
iv
e
n
b
y
[
17
]
:
=
1
2
.
(
,
)
.
.
.
3
(
1
)
W
h
er
e:
ρ
is
t
h
e
air
d
en
s
i
t
y
(
1
.
2
5
k
g
/
m
3
)
;
S
i
s
w
i
n
d
t
u
r
b
in
e
b
lad
es
s
w
ep
t
ar
ea
i
n
t
h
e
w
i
n
d
(
m
2
)
;
R
is
th
e
tu
r
b
in
e
r
ad
iu
s
(
m
)
;
v
i
s
w
in
d
s
p
ee
d
(
m
/
s
)
;
β b
lad
e
p
i
tch
an
g
le
(
°
)
an
d
λ
is
th
e
tip
-
s
p
ee
d
r
atio
d
ef
in
ed
b
y
:
=
Ω
.
(
2
)
C
p
is
t
h
e
p
o
w
er
co
ef
f
icie
n
t o
f
w
i
n
d
is
tr
ea
ted
in
b
ib
lio
g
r
ap
h
ies f
o
r
a
w
in
d
o
f
1
.
5
MW
[
17
]
,
[
18
]
;
b
y
:
(
,
)
=
(
0
.
5
−
0
.
0167
.
(
−
2
)
)
.
[
.
(
+
0
.
1
)
10
−
0
.
3
.
]
−
0
.
00184
.
(
−
3
)
.
(
−
2
)
(
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
4
,
Dec
em
b
er
2
0
1
7
:
1
9
5
4
–
1
9
6
2
1956
E
x
p
r
ess
io
n
o
f
th
e
ae
r
o
d
y
n
a
m
i
c
to
r
q
u
e
is
g
iv
e
n
b
y
[
17
]
:
=
Ω
=
2
.
.
3
.
(
,
)
(
4
)
T
h
e
g
ea
r
b
o
x
is
th
e
co
n
n
ec
tio
n
b
et
w
ee
n
t
h
e
t
u
r
b
in
e
a
n
d
th
e
g
en
er
ato
r
m
o
d
eled
b
y
[
17
]
:
=
(
5
)
Ω
=
.
Ω
(
6
)
W
h
er
e:
T
m
ec
is
m
ec
h
a
n
ical
to
r
q
u
e,
Ω
tur
,
Ω
m
ec
ar
e
th
e
t
u
r
b
in
e
an
d
g
en
er
ato
r
s
p
ee
d
,
an
d
G
is
th
e
g
ea
r
b
o
x
r
atio
.
T
h
e
eq
u
atio
n
o
f
s
y
s
te
m
d
y
n
a
m
ics,
ca
n
b
e
w
r
itte
n
as [
17
]
Ω
+
.
Ω
=
−
(
7
)
W
h
er
e:
f
is
th
e
v
is
co
u
s
f
r
ictio
n
co
ef
f
icie
n
t,
T
em
is
t
h
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
o
f
t
h
e
g
e
n
er
ato
r
.
2
.
2
.
M
o
del o
f
Do
ub
ly
F
ed
I
nd
uct
io
n G
ener
a
t
o
r
T
h
e
elec
tr
ical
eq
u
atio
n
s
o
f
t
h
e
s
tato
r
an
d
r
o
to
r
v
o
ltag
es o
f
th
e
DFI
G
ar
e
w
r
itte
n
[
17
]
,
[
18
]:
{
=
+
−
=
+
+
=
+
−
=
+
+
(
8
)
T
h
e
s
tato
r
an
d
r
o
to
r
f
lu
x
ar
e
ex
p
r
ess
ed
b
y
[
1
7
]
,
[
18
]:
{
=
+
=
+
=
+
=
+
(
9
)
W
h
er
e:
R
s
,
R
r
,
L
s
a
n
d
L
r
ar
e
r
esp
ec
tiv
el
y
th
e
r
es
is
ta
n
ce
a
n
d
in
d
u
cta
n
ce
o
f
t
h
e
s
tato
r
an
d
th
e
r
o
to
r
;
M
is
t
h
e
m
u
tu
al
i
n
d
u
cta
n
ce
,
I
sd
,
I
sq
,
I
rd
,
I
rq
r
ep
r
esen
t
th
e
d
an
d
q
co
m
p
o
n
en
t
s
o
f
th
e
s
tato
r
an
d
r
o
to
r
cu
r
r
en
ts
;
ω
s
is
th
e
s
tat
a
r
an
g
u
lar
f
r
eq
u
e
n
c
y
(
=
−
.
Ω
)
; ω
r
is
r
oto
r
a
n
gul
a
r
fr
e
q
u
e
n
c
y
.
an
d
P
n
u
m
b
er
o
f
p
o
le
p
air
s
.
E
q
u
atio
n
(
1
0
)
r
ep
r
esen
ts
th
e
e
x
p
r
ess
io
n
o
f
elec
tr
o
m
a
g
n
e
tic
t
o
r
q
u
e
[
17
]
:
=
(
−
)
(
1
0
)
2.
3.
M
o
delin
g
o
f
t
he
C
o
nn
ec
t
io
n
o
f
G
rid
S
ide
C
o
nv
er
t
er
T
h
e
ca
p
ac
ito
r
cu
r
r
en
t
an
d
T
h
e
v
o
ltag
e
ac
r
o
s
s
t
h
e
ca
p
ac
ito
r
o
f
DC
-
L
i
n
k
v
o
ltag
e
ar
e
o
b
tain
ed
[
19
]
:
{
=
_
−
_
=
1
.
(
1
1
)
E
ls
e
w
h
er
e,
t
h
e
g
r
id
p
h
ase
v
o
lt
ag
es c
a
n
b
e
ex
p
r
ess
ed
[
19
]
:
{
=
+
+
=
+
+
=
+
+
(
1
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
A
C
o
mp
lete
Mo
d
elin
g
a
n
d
C
o
n
tr
o
l fo
r
Win
d
Tu
r
b
in
e
B
a
s
ed
o
f a
Do
u
b
ly
F
ed
…
(
F
a
w
z
i
S
en
a
n
i
)
1957
W
h
er
e:
I
m_ma
c
,
I
m_g
r
id
ar
e
th
e
c
u
r
r
en
ts
m
o
d
u
lated
b
y
th
e
R
SC
an
d
t
h
e
G
SC
;
R
f
,
L
f
: r
esi
s
tan
c
e
an
d
i
n
d
u
cta
n
ce
o
f
th
e
g
r
id
f
ilter
;
V
fa
,
V
fb
,
V
fc
: in
p
u
ts
v
o
ltag
e
s
o
f
t
h
e
GS
C
;
I
fa
,
I
fb
,
I
fc
: T
h
e
cu
r
r
en
t
s
f
lo
w
in
g
t
h
r
o
u
g
h
t
h
e
f
i
lter
.
3.
CO
NT
RO
L
ST
R
AT
E
G
I
E
S
O
F
WE
CS
T
h
e
co
n
tr
o
l
s
tr
ateg
y
u
s
ed
in
t
h
is
p
ap
er
in
clu
d
es
t
h
e
MP
PT
alg
o
r
ith
m
b
y
co
n
tr
o
lli
n
g
s
p
ee
d
o
f
DFI
G
,
th
e
DP
C
f
o
r
R
SC
b
y
co
n
tr
o
lli
n
g
t
h
e
s
ta
to
r
ac
tiv
e
an
d
r
ea
cti
v
e
p
o
w
er
s
a
n
d
th
e
DP
C
f
o
r
GSC
b
y
co
n
tr
o
llin
g
th
e
DC
-
L
i
n
k
v
o
lta
g
e
an
d
ac
ti
v
e
an
d
r
ea
ctiv
e
p
o
w
er
s
e
x
ch
a
n
g
ed
w
it
h
g
r
id
.
3
.
1
.
M
a
x
i
m
u
m
P
o
w
er
P
o
int
T
ra
cking
w
it
h
S
peed
C
o
ntr
o
l
Fo
r
th
is
s
tu
d
y
,
it
w
i
ll
b
e
as
s
u
m
ed
,
w
h
ate
v
er
t
h
e
p
o
w
er
g
en
er
ated
,
t
h
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
d
ev
elo
p
ed
is
at
all
ti
m
es e
q
u
al
to
its
r
ef
er
en
ce
v
a
lu
e
T
em
=T
emref
[
17
]
,
[
18
]
.
T
h
is
tech
n
iq
u
e
co
n
s
i
s
t
o
f
d
eter
m
in
in
g
th
e
s
p
ee
d
o
f
th
e
tu
r
b
i
n
e
Ω
tur
w
h
ic
h
m
a
k
es
it
p
o
s
s
ib
l
e
to
o
b
tain
th
e
m
a
x
i
m
u
m
p
o
w
er
g
e
n
er
ate
d
.
T
h
u
s
,
th
e
elec
tr
o
m
a
g
n
et
ic
to
r
q
u
e
m
u
s
t
b
e
ad
j
u
s
ted
o
n
th
e
DFI
G
s
h
a
f
t
s
o
as
to
f
i
x
th
e
r
o
tatio
n
al
s
p
ee
d
o
f
at
a
r
ef
er
en
ce
s
p
ee
d
at
th
e
o
u
tp
u
t o
f
th
e
s
p
ee
d
co
n
tr
o
ller
(
I
-
P
)
[
17
]
(
Fig
u
r
e
2
)
.
Fig
u
r
e
2.
Mo
d
el
o
f
T
u
r
b
in
e
w
ith
s
p
ee
d
co
n
tr
o
l o
f
th
e
g
e
n
er
ato
r
T
h
e
Ω
turref
co
r
r
esp
o
n
d
s
to
th
at
o
f
th
e
o
p
ti
m
u
m
v
al
u
e
o
f
t
h
e
λ
opt
allo
w
in
g
it
p
o
s
s
ib
le
to
o
b
tain
th
e
m
ax
i
m
u
m
v
a
lu
e
o
f
th
e
C
p
m
a
x
w
e
ca
n
w
r
i
te:
=
.
(
1
3
)
T
h
is
r
ef
er
en
ce
s
p
ee
d
d
ep
en
d
s
o
n
th
e
Ω
turref
to
b
e
f
i
x
ed
to
m
a
x
i
m
ize
th
e
e
x
tr
ac
ted
p
o
w
er
,
we
h
av
e:
Ω
=
.
Ω
(
1
4
)
3
.
2
.
Dire
ct
P
o
w
er
C
o
ntr
o
l o
f
DF
I
G
w
it
h
R
o
t
o
r
S
ide
C
o
nv
er
t
e
r
DP
C
w
as
o
r
ig
in
al
l
y
d
ev
elo
p
e
d
f
o
r
th
e
P
W
M
c
o
n
tr
o
l
o
f
p
o
w
er
i
n
v
er
ter
s
[
1
5
]
,
[
1
6
]
.
E
v
en
tu
all
y
,
g
i
v
e
n
its
f
a
s
t,
y
et
r
o
b
u
s
t
a
n
d
p
r
ec
is
e
p
o
w
er
tr
ac
k
i
n
g
ca
p
ab
ilit
i
es,
DP
C
h
as
b
ec
o
m
e
o
n
e
o
f
th
e
m
ai
n
co
n
tr
o
l
s
tr
ateg
ie
s
f
o
r
DFI
G
-
b
ased
W
E
C
S
[
11
]
.
I
t
is
b
ased
i
n
w
h
ic
h
t
h
e
co
n
tr
o
ls
o
f
ac
ti
v
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
ar
e
d
ir
ec
tl
y
co
n
tr
o
lled
,
w
it
h
o
u
t
t
h
e
in
ter
m
ed
iate
s
tep
o
f
u
s
in
g
c
u
r
r
en
t
r
eg
u
lato
r
s
a
s
i
n
f
ield
o
r
ien
ted
co
n
tr
o
l.
I
n
f
ac
t,
it
is
b
ased
o
n
th
e
d
eter
m
i
n
atio
n
o
f
i
n
s
tan
ta
n
eo
u
s
r
o
to
r
v
ec
to
r
s
i
n
ea
ch
s
a
m
p
li
n
g
p
er
i
o
d
r
eg
ar
d
in
g
d
esire
d
s
tato
r
ac
tiv
e
an
d
r
ea
cti
v
e
p
o
w
er
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
4
,
Dec
em
b
er
2
0
1
7
:
1
9
5
4
–
1
9
6
2
1958
Fig
u
r
e
3
.
B
asic D
P
C
b
lo
c
d
iag
r
a
m
T
h
e
b
lo
ck
d
iag
r
am
o
f
th
e
co
n
v
en
t
io
n
al
DP
C
is
d
ep
icted
in
Fig
u
r
e
3
.
A
s
it
is
s
h
o
w
n
,
th
e
co
m
p
u
ted
v
alu
e
s
o
f
s
tato
r
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
ar
e
co
m
p
ar
ed
to
th
e
co
r
r
esp
o
n
d
in
g
r
ef
er
en
ce
s
,
an
d
th
e
er
r
o
r
s
ar
e
s
en
t
to
3
-
le
v
el
an
d
2
-
le
v
el
h
y
s
ter
es
is
r
eg
u
lato
r
p
r
o
p
o
s
ed
f
o
r
ac
tiv
e
p
o
w
er
co
n
tr
o
ller
an
d
r
ea
ctiv
e
p
o
w
er
co
n
tr
o
ller
r
esp
ec
tiv
el
y
[
1
1
]
.
Usi
n
g
t
h
e
o
u
tp
u
ts
o
f
h
y
s
ter
es
is
co
m
p
ar
ato
r
s
an
d
also
t
h
e
s
ec
to
r
n
u
m
b
er
w
h
ic
h
s
tato
r
f
l
u
x
i
n
r
o
to
r
f
r
a
m
e
lies
i
n
,
a
p
r
o
p
er
v
o
lta
g
e
v
ec
to
r
is
s
e
lecte
d
f
r
o
m
th
e
s
w
itc
h
i
n
g
tab
l
e
[
1
1
].
I
f
s
tato
r
a
n
d
r
o
to
r
r
esis
tan
ce
s
ar
e
n
e
g
lecte
d
i
n
d
icate
t
h
at,
h
av
i
n
g
a
co
n
s
ta
n
t
s
tato
r
f
lu
x
φ
s
an
d
t
h
e
r
o
to
r
f
lu
x
is
o
b
tain
ed
f
r
o
m
eq
u
atio
n
(
15
)
,
it
is
in
d
icate
t
h
at
v
ar
iatio
n
o
f
r
o
to
r
f
lu
x
is
d
ep
en
d
en
t
to
ap
p
lied
r
o
to
r
v
o
ltag
e
[
5
]
,
[
20
].
=
−
≈
(
1
5
)
W
h
er
e:
φ
r
r
,
V
r
r
a
n
d
I
r
r
ar
e
th
e
r
o
to
r
f
lu
x
,
v
o
lta
g
e
an
d
c
u
r
r
en
t
,
ex
p
r
ess
ed
in
t
h
e
f
r
a
m
e
li
n
k
ed
to
th
e
r
o
to
r
.
T
h
er
ef
o
r
e,
b
y
s
elec
ti
n
g
an
ap
p
r
o
p
r
iate
v
o
ltag
e
v
ec
to
r
,
φ
r
r
ca
n
b
e
co
n
tr
o
lled
.
T
h
u
s
,
if
th
e
p
o
s
itio
n
o
f
s
tato
r
f
l
u
x
i
n
r
o
to
r
f
r
a
m
e
is
k
n
o
w
n
,
th
e
c
h
an
g
e
o
f
φ
r
r
s
in
δ a
n
d
φ
r
r
co
s
δ is ac
h
ie
v
ed
.
W
he
r
e
: δ
th
e
a
n
gl
e
b
e
tw
e
e
n
s
ta
tor
a
n
d
r
o
tor
fl
ux v
e
c
to
r
s
.
T
h
e
eig
h
t
v
o
ltag
e
v
ec
to
r
s
o
f
a
t
w
o
-
le
v
el
R
S
C
w
h
ic
h
th
e
v
ec
t
o
r
p
lan
e
is
d
iv
id
ed
to
s
ix
s
ec
to
r
s
I
n
s
ta
n
tan
eo
u
s
ac
ti
v
e
a
n
d
r
ea
ctiv
e
p
o
w
er
s
ca
n
b
e
esti
m
ated
f
r
o
m
r
elat
io
n
s
h
ip
s
[
1
2
]:
{
=
3
2
(
+
)
=
3
2
(
−
)
(
1
6
)
T
h
e
d
ig
itized
er
r
o
r
s
ig
n
al
Sp
an
d
Sq
a
n
d
th
e
r
o
to
r
f
lu
x
s
e
cto
r
ar
e
in
p
u
t
to
t
h
e
s
w
itc
h
i
n
g
tab
le
i
n
w
h
ic
h
ev
er
y
s
w
itc
h
i
n
g
s
tate
S
a
, S
b
an
d
S
c
o
f
th
e
co
n
v
er
ter
as
s
h
o
w
n
in
T
ab
le
1
[
20
].
T
ab
le
1
Op
tim
al
s
w
itc
h
in
g
tab
le
f
o
r
R
S
C
3
.
3
.
Dire
ct
P
o
w
er
C
o
ntr
o
l o
f
G
rid
S
ide
C
o
nv
er
t
er
T
h
e
m
ai
n
id
ea
o
f
DP
C
i
s
s
i
m
ilar
to
th
e
w
ell
-
k
n
o
w
n
d
ir
ec
t
to
r
q
u
e
co
n
tr
o
l
(
DT
C
)
f
o
r
in
d
u
ctio
n
m
o
to
r
s
.
I
n
s
tead
o
f
co
n
tr
o
llin
g
to
r
q
u
e
a
n
d
f
lu
x
,
t
h
e
in
s
tan
tan
eo
u
s
ac
ti
v
e
P
g
a
n
d
r
ea
cti
v
e
Q
g
p
o
w
er
s
ar
e
co
n
tr
o
lled
[
1
4
-
1
6
]
.
T
h
e
b
lo
ck
s
ch
e
m
e
o
f
DP
C
f
o
r
GSC
i
s
s
h
o
w
n
in
F
ig
u
r
e
4
.
S
q
S
p
δ
1
δ
2
δ
3
δ
4
δ
5
δ
6
0
1
V
2
V
3
V
4
V
5
V
6
V
1
0
V
0
V
7
V
0
V
7
V
0
V
7
1
-
V
6
V
1
V
2
V
3
V
4
V
5
1
1
V
3
V
4
V
5
V
6
V
1
V
2
0
V
7
V
0
V
7
V
0
V
7
V
0
1
-
V
5
V
6
V
1
V
2
V
3
V
4
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
A
C
o
mp
lete
Mo
d
elin
g
a
n
d
C
o
n
tr
o
l fo
r
Win
d
Tu
r
b
in
e
B
a
s
ed
o
f a
Do
u
b
ly
F
ed
…
(
F
a
w
z
i
S
en
a
n
i
)
1959
Fig
u
r
e
4
.
Dir
ec
t p
o
w
er
co
n
tr
o
l
f
o
r
GSC
T
h
e
m
ai
n
id
ea
o
f
v
o
ltag
e
b
ase
d
p
o
w
er
esti
m
atio
n
f
o
r
DP
C
w
a
s
p
r
o
p
o
s
ed
in
[
1
4
]
.
T
h
e
in
s
tan
ta
n
eo
u
s
v
alu
e
s
o
f
ac
ti
v
e
an
d
r
ea
cti
v
e
p
o
w
er
s
i
n
g
r
id
v
o
lta
g
e
s
e
n
s
o
r
le
s
s
s
y
s
te
m
ar
e
esti
m
ated
b
y
:
{
=
(
+
+
)
+
(
+
+
)
=
1
√
3
[
3
(
+
)
−
{
(
−
)
+
(
−
)
+
(
−
)
}
]
(
17
)
T
h
e
g
r
id
-
li
n
e
v
o
lta
g
e
s
ec
to
r
is
n
ec
ess
ar
y
to
r
ea
d
th
e
s
w
i
tch
i
n
g
tab
le;
th
er
e
f
o
r
e
k
n
o
w
led
g
e
o
f
th
e
li
n
e
v
o
ltag
e
i
s
ess
e
n
tia
l.
Ho
w
e
v
er
,
o
n
ce
th
e
esti
m
ated
v
a
lu
e
s
o
f
ac
tiv
e
an
d
r
ea
cti
v
e
p
o
w
er
ar
e
ca
lcu
lated
an
d
t
h
e
g
r
id
-
li
n
e
cu
r
r
e
n
ts
ar
e
k
n
o
w
n
,
t
h
e
lin
e
v
o
lta
g
e
ca
n
ea
s
i
l
y
b
e
c
alcu
lated
as [
1
3
]
,
[
1
4
].
[
]
=
1
2
+
2
[
−
]
[
]
(
1
8
)
T
h
e
co
m
m
a
n
d
s
o
f
r
ea
ctiv
e
p
o
w
er
Q
g
r
ef
s
e
t
to
ze
r
o
f
o
r
u
n
i
t
y
p
o
w
er
f
ac
to
r
a
n
d
ac
tiv
e
p
o
w
er
P
g
ref
i
s
o
b
tain
ed
af
ter
b
ei
n
g
ad
d
ed
to
th
e
P
cref
d
eliv
er
ed
f
r
o
m
t
h
e
o
u
ter
P
I
-
DC
-
L
i
n
k
v
o
lta
g
e
c
o
n
tr
o
ller
th
e
p
o
w
er
g
en
er
ated
b
y
t
h
e
DFI
G
P
m
_
mac
= I
m
_
m
ac
.V
dc
ar
e
co
m
p
ar
ed
w
i
th
th
e
e
s
ti
m
ated
Q
g
an
d
P
g
v
al
u
es,
i
n
r
ea
ctiv
e
a
n
d
ac
tiv
e
p
o
w
er
t
w
o
-
lev
e
l h
y
s
ter
esis
co
n
tr
o
ller
s
,
r
esp
ec
ti
v
el
y
[
4
]
.
T
h
e
d
ig
itized
v
ar
iab
les
d
p
,d
q
an
d
th
e
li
n
e
v
o
ltag
e
v
ec
to
r
p
o
s
itio
n
θ=
ta
n
-
1
(V
gα
/V
gβ
)
f
o
r
m
a
d
ig
i
ta
l
w
o
r
d
,
w
h
ic
h
b
y
ac
ce
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w
itc
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le[
1
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,
[
21
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.
Fo
r
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ates a
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[
21
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4.
SI
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u
r
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5
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h
o
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m
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u
r
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6
s
h
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m
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at
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Fig
u
r
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7
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d
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g
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8
s
h
o
w
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D
FIG
s
ta
to
r
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s
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th
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.
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e
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n
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T
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o
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Sp
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ith
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ased
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ith
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ased
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o
n
tr
o
l
lo
o
p
s
an
d
n
o
P
W
M
m
o
d
u
lato
r
b
lo
ck
.
B
y
an
al
y
z
in
g
it i
s
d
eter
m
i
n
ed
th
at
th
e
DP
C
p
r
o
v
id
es a
g
o
o
d
d
y
n
a
m
ic
o
f
t
h
e
s
y
s
te
m
a
n
d
k
ee
p
s
i
ts
r
o
b
u
s
tn
e
s
s
.
T
h
e
s
i
m
u
latio
n
r
es
u
lt
s
o
f
W
E
C
S
o
b
tain
e
d
ar
e
s
atis
f
ac
to
r
y
,
h
a
v
e
a
g
o
o
d
p
er
f
o
r
m
a
n
ce
an
d
g
o
o
d
co
n
tr
o
l
p
r
o
p
r
ieties
b
et
w
ee
n
m
ea
s
u
r
ed
an
d
r
e
f
er
en
ce
q
u
an
titi
es
(
s
p
ee
d
g
en
er
ato
r
,
s
ta
to
r
an
d
g
r
id
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
w
er
,
DC
-
L
i
n
k
v
o
lta
g
e)
.
T
h
e
co
m
b
in
ed
VC
an
d
D
P
C
(
VC
DP
C
)
in
W
E
C
S a
r
e
v
e
r
y
p
r
o
m
i
s
i
n
g
.
ANNEX
E
S
P
ar
am
eter
s
o
f
T
u
r
b
in
e
[
18
]
R
ated
P
o
w
er
o
f
T
u
r
b
in
e=
1
.
5
MW
; R=3
5
.
2
5
m
; G
=9
0
.
P
ar
am
eter
s
o
f
DFI
G
[
1
8
]
R
ated
P
o
w
er
o
f
DFI
G=
1
.
5
MW
;
V
s
=6
9
0
V;
R
s
=0
.
0
1
2
Ω
;
R
r
=0
.
0
2
1
Ω
;
L
s
=0
.
0
1
3
7
H;
L
r
=0
.
0
1
3
6
H;
M=
0
.
0
1
3
5
H;
J
=1
0
0
0
k
g
.
m
2
;
f
=0
.
0
0
2
4
k
g
.
m
2
/
s
; P
=2
.
P
ar
am
eter
s
o
f
Fil
ter
R
f
L
f
a
n
d
C
ap
ac
ito
r
o
f
DC
-
L
in
k
v
o
lta
g
e
[
1
8
]
R
f
=2
.
1
0
-
3
Ω
; L
f
=2
.
1
0
-
3
H;
C
=
4
4
0
0
µF
.
RE
F
E
R
E
NC
E
S
[1
]
Da
h
e
c
h
K
.
,
A
ll
o
u
c
h
e
M
,
Da
m
a
k
T
,
T
a
d
e
o
F
,
“
Ba
c
k
ste
p
p
in
g
sl
id
in
g
m
o
d
e
c
o
n
tro
l
f
o
r
m
a
x
i
m
u
m
p
o
w
e
r
p
o
in
t
tr
a
c
k
in
g
o
f
a
p
h
o
to
v
o
lt
a
ic sy
ste
m
,
”
El
e
c
tric P
o
we
r S
y
ste
ms
Res
e
a
rc
h
.
2
0
1
7
;
1
4
3
:
1
8
2
–
1
8
8
.
[2
]
A
n
a
n
th
D.V
.
N,
Ku
m
a
r
G
.
V
.
N.,
“
F
lu
x
Ba
se
d
S
e
n
so
rles
s
S
p
e
e
d
S
e
n
sin
g
a
n
d
Re
a
l
a
n
d
Re
a
c
ti
v
e
P
o
w
e
r
F
lo
w
Co
n
tr
o
l
w
it
h
L
o
o
k
-
u
p
T
a
b
le
b
a
se
d
M
a
x
im
u
m
P
o
w
e
r
P
o
in
t
T
ra
c
k
in
g
T
e
c
h
n
iq
u
e
f
o
r
G
rid
Co
n
n
e
c
t
e
d
Do
u
b
ly
F
e
d
In
d
u
c
ti
o
n
G
e
n
e
ra
to
r,
”
In
d
o
n
e
sia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
E
n
g
i
n
e
e
rin
g
a
n
d
I
n
fo
rm
a
ti
c
s (
IJ
EE
I).
De
c
e
m
b
e
r
2
0
1
5
;
3
(4
):
239
-
2
6
0
.
[3
]
Ra
h
a
b
A
,
S
e
n
a
n
i
F
,
Be
n
a
ll
a
H.
,
“
Dire
c
t
P
o
w
e
r
Co
n
tro
l
o
f
Bru
s
h
les
s
Do
u
b
ly
-
F
e
d
In
d
u
c
ti
o
n
G
e
n
e
ra
to
r
Us
e
d
i
n
W
in
d
En
e
rg
y
Co
n
v
e
rsio
n
S
y
st
e
m
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
(
IJ
PE
DS
)
.
M
a
rc
h
2
0
1
7
;
8
(1
)
:
4
1
7
-
4
3
3
.
[4
]
G
h
e
n
n
a
m
T
,
A
li
o
u
a
n
e
K,
Ak
e
l
F
,
F
ra
n
c
o
is
B,
Be
rk
o
u
k
E.
M
.
,
“
A
d
v
a
n
c
e
d
c
o
n
tro
l
sy
ste
m
o
f
DF
IG
b
a
se
d
w
in
d
g
e
n
e
ra
to
rs
f
o
r
re
a
c
ti
v
e
p
o
w
e
r
p
ro
d
u
c
t
io
n
a
n
d
in
teg
ra
ti
o
n
in
a
w
i
n
d
f
a
rm
d
isp
a
tc
h
in
g
,
”
En
e
rg
y
C
o
n
v
e
rs
io
n
a
n
d
M
a
n
a
g
e
me
n
t
.
2
0
1
5
;
1
0
5
:
2
4
0
–
2
5
0
.
[5
]
Yo
u
se
f
i
-
Talo
u
k
i
A
,
P
o
u
re
sm
a
e
il
E,
J
o
rg
e
n
se
n
B.
N.
,
“
A
c
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
w
e
r
rip
p
le
m
in
im
iza
ti
o
n
i
n
d
irec
t
p
o
w
e
r
c
o
n
tro
l
o
f
m
a
tri
x
c
o
n
v
e
rter
-
f
e
d
DFI
G
,
"
El
e
c
trica
l
Po
we
r a
n
d
En
e
rg
y
S
y
ste
ms
.
2
0
1
4
;
6
3
:
6
0
0
–
6
0
8
.
[6
]
M
o
h
a
m
m
a
d
i
J,
V
a
e
z
-
Zad
e
h
S
,
A
fsh
a
rn
ia
S
,
Da
ry
a
b
e
ig
i
E.
,
“
A
c
o
m
b
in
e
d
v
e
c
to
r
a
n
d
d
irec
t
p
o
w
e
r
c
o
n
tr
o
l
f
o
r
DFIG
-
b
a
se
d
w
in
d
tu
r
b
i
n
e
s,”
In
:
IEE
E
T
ra
n
s S
u
sta
i
n
E
n
e
rg
y
.
2
0
1
4
;
2
9
(3
)
:
7
6
7
–
7
5
.
[7
]
M
o
h
se
n
i
M
,
Isla
m
S
,
M
a
so
u
m
M
.
A
.
S
.
,
“
En
h
a
n
c
e
d
h
y
ste
re
sis
-
b
a
s
e
d
c
u
rre
n
t
re
g
u
lato
rs
in
v
e
c
to
r
c
o
n
tro
l
o
f
DFIG
w
in
d
tu
rb
in
e
s,”
IEE
E
T
ra
n
s.
P
o
w
e
r E
lec
tro
n
.
Ja
n
.
2
0
1
1
;
2
6
(1
)
:
2
2
3
–
2
3
4
.
0
2
4
6
8
10
-
2
0
0
0
-
1
5
0
0
-
1
0
0
0
-
5
0
0
0
500
1000
1500
T
i
m
e(s
)
V
g
a(V
)
Ifa(A
)
4
.
9
5
5
5
.
0
5
5
.
1
5
.
1
5
-
5
0
0
-
4
0
0
-
3
0
0
-
2
0
0
-
1
0
0
0
100
200
300
400
500
T
i
m
es
(s
)
V
g
a(V
)
Ifa(A
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
4
,
Dec
em
b
er
2
0
1
7
:
1
9
5
4
–
1
9
6
2
1962
[8
]
Zerz
o
u
ri
N,
L
a
b
a
r
H.
,
“
A
c
ti
v
e
a
n
d
Re
a
c
ti
v
e
P
o
w
e
r
Co
n
tro
l
o
f
a
Do
u
b
ly
F
e
d
In
d
u
c
ti
o
n
G
e
n
e
ra
to
r,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r E
lec
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m (
I
J
PE
DS
)
.
Oc
to
b
e
r
2
0
1
4
;
5
(
2
):
2
4
4
-
2
5
1
.
[9
]
Bo
u
lah
ia
A
,
M
A
d
e
l,
Be
n
a
ll
a
H.
,
“
P
re
d
ictiv
e
P
o
w
e
r
Co
n
tro
l
o
f
G
rid
a
n
d
Ro
to
r
S
id
e
Co
n
v
e
rters
in
Do
u
b
ly
F
e
d
In
d
u
c
ti
o
n
G
e
n
e
ra
to
rs
Ba
se
d
W
in
d
T
u
rb
in
e
,
"
Bu
l
letin
o
f
El
e
c
trica
l
En
g
i
n
e
e
rin
g
a
n
d
In
f
o
rm
a
ti
c
s
.
D
e
c
e
m
b
e
r
2
0
1
3
;
2
(4
):
2
5
8
-
2
6
4
.
[1
0
]
M
u
ll
e
r
S
,
De
ick
e
M
,
De
Do
n
c
k
e
r
R.
W
.
,
“
Do
u
b
ly
f
e
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
sy
ste
m
s
f
o
r
w
in
d
tu
rb
i
n
e
s,”
IEE
E
In
d
.
Ap
p
l
.
M
a
g
.
2
0
0
2
;
8
(3
):
26
–
33.
[1
1
]
X
u
L
,
a
n
d
Ca
rtw
rig
h
t
P
.
,
“
Dire
c
t
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
DFI
G
f
o
r
w
in
d
e
n
e
rg
y
g
e
n
e
ra
ti
o
n
,
”
IEE
E
T
ra
n
s.
En
e
rg
y
C
o
n
v
e
rs
.
S
e
p
.
2
0
0
6
;
2
1
(3
)
:7
5
0
–
7
5
8
.
[1
2
]
Hu
J,
Nia
n
H,
Hu
B,
He
Y.
,
“
Dire
c
t
a
c
ti
v
e
a
n
d
re
a
c
ti
v
e
p
o
w
e
r
re
g
u
latio
n
o
f
DFIG
u
sin
g
slid
in
g
-
m
o
d
e
c
o
n
tro
l
a
p
p
ro
a
c
h
,
”
I
EE
E
T
r
a
n
s.
En
e
rg
y
Co
n
v
e
rs
.
De
c
.
2
0
1
0
;
2
5
(4
):
1
0
2
8
–
1
0
3
9
.
[1
3
]
M
a
li
n
o
w
sk
i
M
,
Ka
z
m
ierk
o
w
s
k
i
M
.
P
,
T
rz
y
n
a
d
lo
w
sk
i
A
.
,
“
Re
v
ie
w
a
n
d
c
o
m
p
a
ra
ti
v
e
stu
d
y
o
f
c
o
n
tro
l
tec
h
n
iq
u
e
s
f
o
r
th
re
e
-
p
h
a
se
P
W
M
re
c
ti
f
iers
,
”
M
a
th
e
ma
ti
c
s a
n
d
C
o
mp
u
ter
s in
S
imu
l
a
ti
o
n
.
2
0
0
3
;
6
3
:
3
4
9
–
3
6
1
.
[1
4
]
No
g
u
c
h
i
T
,
T
o
m
i
k
i
H,
Ko
n
d
o
S
,
T
a
k
a
h
a
sh
i
I.
,
“
Dire
c
t
p
o
w
e
r
c
o
n
tro
l
o
f
P
W
M
c
o
n
v
e
rter
w
it
h
o
u
t
p
o
w
e
r
-
so
u
rc
e
v
o
lt
a
g
e
se
n
so
rs,”
IEE
E
T
ra
n
s In
d
Ap
p
l.
1
9
9
8
;
3
4
:
9
4
1
–
9
4
6
.
[1
5
]
M
a
li
n
o
w
sk
i
M
,
Ka
z
m
i
e
rk
o
w
sk
i
M
.
P
,
Ha
n
se
n
S
,
Blaa
b
jerg
F
,
M
a
e
q
u
e
s
G
.
D.
,
“
V
irt
u
a
l
f
lu
x
b
a
se
d
d
irec
t
p
o
w
e
r
c
o
n
tro
l
o
f
th
re
e
p
h
a
se
P
W
M
re
c
ti
f
iers
,
”
IEE
E
T
ra
n
s In
d
A
p
p
l
.
2
0
0
1
;
3
7
(4
)
:
1
0
1
9
–
1
0
2
7
.
[1
6
]
M
a
li
n
o
w
sk
i
M
,
Ja
sin
sk
i
M
,
Ka
z
m
ier
k
o
w
sk
i
M
.
P
.
,
“
S
im
p
le
d
irec
t
p
o
w
e
r
c
o
n
tro
l
o
f
th
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re
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ier
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sin
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v
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c
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m
o
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u
latio
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(D
P
C
–
S
V
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),
”
I
EE
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r
a
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s I
n
d
El
e
c
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n
.
2
0
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4
;
5
1
(
2
):
4
4
7
–
4
5
4
,
.
[1
7
]
G
a
il
lard
A
.
,
“
W
in
d
s
y
s
te
m
b
a
se
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o
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DFIG
:
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b
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stu
d
y
o
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th
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o
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rg
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th
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c
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ti
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it
y
o
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se
rv
ic
e
,
”
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d
T
h
e
sis,
He
n
ri P
o
in
c
a
re
Un
ive
rs
it
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,
Na
n
c
y
-
I,
Fra
n
c
e
;
A
p
ril
2
0
1
0
.
[1
8
]
El
A
i
m
a
n
i
S
.
,
“
M
o
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li
n
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o
f
V
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rio
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s
In
teg
ra
ted
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d
T
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rb
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s
in
a
M
e
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iu
m
V
o
lt
a
g
e
G
rid
,
”
Ph
D
T
h
e
sis,
Eco
le Ce
n
tra
le
d
e
L
il
le,
2
0
0
4
.
[1
9
]
X
u
L
.
,
“
Co
o
r
d
in
a
te
d
c
o
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tr
o
l
o
f
DFI
G
’s
ro
to
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g
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sid
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v
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rters
d
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g
n
e
tw
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rk
u
n
b
a
lan
c
e
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r E
lec
tro
n
i
c
s
.
2
0
0
8
;
2
3
:
1
0
4
1
-
1
0
4
9
.
[2
0
]
T
re
m
b
la
y
E,
A
ta
y
d
e
S
,
Ch
a
n
d
ra
A
.
,
“
Dire
c
t
p
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we
r
c
o
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l
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f
a
D
FIG
-
b
a
se
d
W
ECS
wit
h
a
c
ti
v
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fi
lt
e
r
c
a
p
a
b
il
it
ies
,”
in
El
e
c
tri
c
a
l
P
o
w
e
r
&
En
e
rg
y
Co
n
f
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re
n
c
e
,
EP
EC
2
0
0
9
.
IEE
E
,
2
0
0
9
:
1
-
6.
[2
1
]
Ch
a
o
u
i
A
,
Krim
F
,
Ga
u
b
e
rt
J,
Ra
m
b
a
u
lt
L
.
,
“
DP
C
c
o
n
tro
l
led
th
re
e
-
p
h
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se
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c
ti
v
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f
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ter
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p
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w
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r
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a
li
ty
im
p
ro
v
e
m
e
n
t,
"
El
e
c
tr
Po
we
r E
n
e
rg
y
S
y
st.
2
0
0
8
;
3
0
:
4
7
6
–
4
8
5
.
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