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Evaluation Warning : The document was created with Spire.PDF for Python.
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I
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Vo
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16
,
No
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4
,
Dec
em
b
er
20
25
:
2711
-
2
7
2
0
2712
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n
d
c
o
n
tr
o
l
o
f
th
e
DFI
G
s
y
s
tem
,
in
clu
d
in
g
th
e
co
n
v
er
ter
an
d
tu
r
b
in
e,
u
s
in
g
a
c
o
m
b
in
ati
o
n
o
f
SVM
a
n
d
SMC
with
in
a
D
PC
f
r
am
ewo
r
k
.
Ou
r
ap
p
r
o
ac
h
in
tr
o
d
u
ce
s
a
n
o
v
el
h
y
b
r
id
s
tr
ateg
y
(
SMC
-
DPC
_
SVM)
th
at
aim
s
to
en
h
an
ce
th
e
p
er
f
o
r
m
an
ce
o
f
co
n
v
e
n
t
io
n
al
d
ir
ec
t
p
o
wer
co
n
tr
o
l
(C
-
DPC
)
b
y
r
ed
u
cin
g
r
ip
p
les
in
ac
tiv
e/r
ea
ctiv
e
p
o
wer
an
d
m
in
im
izin
g
th
e
T
HD
in
s
tato
r
an
d
r
o
to
r
cu
r
r
en
ts
.
Simu
latio
n
r
esu
lts
d
em
o
n
s
tr
ate
th
at
th
e
SMC
-
DPC
_
SVM
s
tr
ateg
y
s
ig
n
if
ican
t
ly
o
u
tp
e
r
f
o
r
m
s
th
e
co
n
v
en
tio
n
al
C
-
DPC
.
T
h
e
T
H
D
in
b
o
th
s
tato
r
an
d
r
o
to
r
cu
r
r
en
ts
r
em
ain
s
b
elo
w
th
e
5
%
t
h
r
esh
o
ld
s
et
b
y
th
e
I
E
E
E
Stan
d
a
r
d
s
Ass
o
ciatio
n
,
co
n
f
i
r
m
in
g
th
e
ef
f
ec
tiv
en
es
s
an
d
e
f
f
icien
cy
o
f
th
e
p
r
o
p
o
s
ed
m
eth
o
d
[
6
]
.
C
o
m
p
ar
ativ
e
s
im
u
latio
n
s
o
f
C
-
DPC
an
d
SMC
-
D
PC
_
SVM
u
n
d
er
v
ar
i
o
u
s
s
tep
ch
an
g
es
in
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
we
r
f
u
r
th
er
v
alid
ate
th
ese
f
i
n
d
in
g
s
.
2.
DE
SCR
I
P
T
I
O
N
O
F
A
WI
N
D
E
NE
RG
Y
CO
NVE
RSI
O
N
SYST
E
M
T
h
e
win
d
en
er
g
y
co
n
v
er
s
io
n
s
y
s
tem
d
ep
icted
in
Fig
u
r
e
1
c
o
n
s
is
ts
o
f
s
ev
er
al
k
ey
co
m
p
o
n
e
n
ts
: a
win
d
tu
r
b
in
e
t
h
at
ca
p
tu
r
es
k
in
etic
en
er
g
y
f
r
o
m
th
e
win
d
,
a
g
ea
r
b
o
x
(
o
r
s
p
ee
d
m
u
ltip
lier
)
th
at
in
cr
ea
s
es
th
e
r
o
tatio
n
al
s
p
ee
d
to
m
atch
th
e
o
p
e
r
atio
n
al
r
eq
u
ir
e
m
en
ts
o
f
th
e
g
en
e
r
ato
r
,
a
d
o
u
b
ly
-
f
ed
in
d
u
ctio
n
g
e
n
er
ato
r
(
DFI
G)
th
at
f
ac
ilit
ates
v
ar
iab
le
-
s
p
ee
d
o
p
er
atio
n
an
d
ef
f
icien
t
en
er
g
y
c
o
n
v
e
r
s
io
n
,
an
d
a
p
o
wer
elec
tr
o
n
ic
co
n
v
er
ter
t
h
at
r
eg
u
lates
th
e
p
o
wer
f
lo
w
b
etwe
en
th
e
g
e
n
er
ato
r
an
d
th
e
elec
tr
ical
g
r
i
d
,
e
n
s
u
r
in
g
s
tab
le
an
d
co
n
tr
o
lled
e
n
er
g
y
o
u
t
p
u
t.
T
h
e
tu
r
b
in
e
co
n
v
er
ts
th
e
k
in
et
ic
en
er
g
y
o
f
t
h
e
win
d
in
to
m
e
ch
an
ical
en
e
r
g
y
.
T
h
e
to
tal
k
in
etic
p
o
wer
av
ailab
le
to
th
e
win
d
tu
r
b
i
n
e
c
an
b
e
m
ath
e
m
atica
lly
r
ep
r
esen
ted
as
(
1
)
:
P
=
1
2
ρ
S
v
3
(
1
)
I
n
win
d
t
u
r
b
in
es,
th
e
p
o
wer
ex
tr
ac
tio
n
c
o
ef
f
icien
t
C
p
,
wh
i
ch
is
a
f
u
n
ctio
n
o
f
b
o
t
h
win
d
s
p
ee
d
a
n
d
th
e
tu
r
b
in
e’
s
r
o
tatio
n
al
s
p
ee
d
,
ty
p
ically
v
ar
ies
b
etwe
en
0
.
3
5
an
d
0
.
5
9
[
7
]
.
T
h
e
DFI
G
s
u
b
s
eq
u
en
tly
co
n
v
er
ts
th
e
m
ec
h
an
ical
en
er
g
y
in
to
elec
tr
ical
en
er
g
y
.
Po
wer
co
n
v
er
te
r
s
ar
e
u
tili
ze
d
to
o
p
tim
ize
t
h
e
tr
an
s
f
er
o
f
th
e
g
en
er
ated
e
n
er
g
y
to
th
e
elec
tr
i
ca
l g
r
id
,
en
s
u
r
in
g
m
a
x
im
u
m
e
f
f
icien
cy
u
n
d
er
v
ar
y
i
n
g
win
d
co
n
d
itio
n
s
[
8
]
,
[
9
]
.
C
p
(
β
,
λ
)
=
(
0
.
5
−
0
.
0167
(
β
−
2
)
)
s
in
[
π
(
λ
+
0
.
1
)
18
.
5
−
0
.
3
(
β
+
2
)
−
0
.
00184
(
λ
−
3
)
(
β
−
2
)
(
2
)
Fig
u
r
e
1
.
Sch
em
atic
r
ep
r
esen
t
atio
n
o
f
a
win
d
en
e
r
g
y
c
o
n
v
e
r
s
io
n
s
y
s
tem
3.
M
O
DE
L
I
NG
AN
D
VE
C
T
O
R
CO
NT
RO
L
O
F
T
H
E
DF
I
G
T
h
e
m
o
d
elin
g
o
f
th
e
DFI
G
is
co
n
d
u
cted
with
in
th
e
p
ar
k
r
ef
er
en
ce
f
r
am
e.
T
h
e
f
o
llo
wi
n
g
s
et
o
f
eq
u
atio
n
s
r
ep
r
esen
ts
th
e
co
m
p
r
eh
en
s
iv
e
m
ath
em
atica
l m
o
d
el
o
f
th
e
g
en
er
ato
r.
{
V
ds
=
R
s
I
ds
+
d
φ
ds
dt
−
ω
s
φ
qs
V
qs
=
R
s
I
qs
+
d
φ
qs
dt
−
ω
s
φ
ds
V
dr
=
R
r
I
dr
+
d
φ
dr
dt
−
(
ω
s
−
ω
r
)
φ
qr
V
qr
=
R
r
I
qr
+
d
φ
qr
dt
−
(
ω
s
−
ω
r
)
φ
dr
,
(
3
)
{
φ
ds
=
L
s
I
ds
+
M
I
dr
φ
qs
=
L
s
I
qs
+
M
I
qr
φ
dr
=
L
r
I
dr
+
M
I
ds
φ
qr
=
L
r
I
qr
+
M
I
qs
(
4
)
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:
2088
-
8
6
9
4
R
o
b
u
s
t sli
d
in
g
mo
d
e
co
n
tr
o
l o
f a
DF
I
G
b
a
s
ed
o
n
th
e
S
V
M st
r
a
teg
y
(
I
b
r
a
h
im
Ya
ich
i
)
2713
J
Ω
=
C
em
−
C
r
−
f
Ω
(
5
)
V
dr
=
R
r
I
dr
+
(
L
r
−
M
2
L
s
)
dI
dr
dt
−
g
(
L
r
−
M
2
L
s
)
ω
s
I
qr
(
6
)
V
qr
=
R
r
I
qr
+
(
L
r
−
M
2
L
s
)
dI
qr
dt
+
g
(
L
r
−
M
2
L
s
)
ω
s
I
dr
+
g
M
V
s
L
s
(
7
)
4.
SL
I
DING
M
O
DE
CO
N
T
RO
L
SMC
b
elo
n
g
s
to
th
e
class
o
f
v
ar
iab
le
s
tr
u
ctu
r
e
co
n
tr
o
l
s
y
s
te
m
s
,
wh
ich
o
p
er
ate
b
y
s
witch
in
g
b
etwe
en
m
u
ltip
le
co
n
tr
o
l la
ws.
SMC
is
v
alu
ed
f
o
r
its
k
ey
ad
v
an
tag
es:
h
ig
h
p
r
ec
is
io
n
,
r
ap
i
d
d
y
n
am
ic
r
esp
o
n
s
e,
in
h
er
e
n
t
s
tab
ilit
y
,
ea
s
e
o
f
d
esig
n
an
d
im
p
lem
en
tatio
n
,
a
n
d
s
tr
o
n
g
r
o
b
u
s
tn
es
s
ag
ain
s
t
b
o
th
in
t
er
n
al
an
d
e
x
ter
n
al
p
ar
am
eter
v
a
r
iatio
n
s
[
1
0
]
,
[
1
1
]
.
a)
C
h
o
ice
o
f
th
e
s
witch
in
g
s
u
r
f
ac
e
C
o
n
s
id
er
a
n
o
n
lin
ea
r
s
y
s
tem
r
ep
r
esen
ted
in
th
e
f
o
llo
win
g
f
o
r
m
:
{
X
=
f
(
X
,
t
)
+
g
(
X
,
t
)
u
(
X
,
t
)
̇
X
∈
ℜ
n
,
u
∈
ℜ
(
8
)
W
h
er
e
f
(
X
,
t
)
,
g
(
X
,
t
)
ar
e
two
c
o
n
tin
u
o
u
s
a
n
d
u
n
ce
r
tain
n
o
n
lin
ea
r
f
u
n
ctio
n
s
ar
e
s
u
p
p
o
s
ed
to
b
e
b
o
u
n
d
e
d
.
W
e
tak
e
th
e
g
en
e
r
al
eq
u
atio
n
f
o
r
m
p
r
o
p
o
s
ed
in
[
1
2
]
t
o
d
eter
m
i
n
e
th
e
s
lid
in
g
s
u
r
f
ac
e:
S
(
X
)
=
(
d
dt
+
λ
)
n
−
1
e
(9
)
e
=
X
d
−
X
(
1
0
)
X
=
[
x
,
x
,
̇
…
.
.
x
n
−
1
]
T
,
X
d
=
[
x
d
,
x
̇
d
,
x
⃛
d
…
…
.
]
T
(
11
)
:
Ad
ju
s
tm
en
t
er
r
o
r
in
t
h
e
co
n
t
r
o
lled
v
ar
iab
le,
:
p
o
s
itiv
e
co
ef
f
icien
t,
:
s
y
s
tem
o
r
d
er
,
:
d
esire
d
s
ize,
:
T
h
e
s
tate
v
ar
iab
le
r
ep
r
esen
tin
g
th
e
q
u
an
tity
o
r
d
er
ed
.
b)
C
o
n
d
itio
n
en
s
u
r
in
g
co
n
v
er
g
en
ce
T
h
e
co
n
d
itio
n
o
f
co
n
v
e
r
g
en
c
e
is
d
ef
in
ed
b
y
th
e
L
y
ap
u
n
o
v
eq
u
atio
n
[
1
1
]
,
it
m
ak
es
th
e
s
u
r
f
ac
e
attr
ac
tiv
e
an
d
in
v
ar
ian
t a
cc
o
r
d
in
g
to
:
S
(
X
)
S
̇
(
X
)
≤
0
̇
(
1
2
)
c)
C
o
n
tr
o
l
c
alcu
latio
n
T
h
e
co
n
tr
o
l a
lg
o
r
ith
m
is
ch
ar
a
cter
ized
b
y
th
e
f
o
llo
win
g
r
elat
io
n
s
h
ip
:
=
+
(
1
3
)
: o
r
d
er
s
ize,
=
eq
u
iv
alen
t c
o
n
t
r
o
l q
u
a
n
tity
,
=
co
n
tr
o
l switch
in
g
ter
m
:
u
n
=
u
m
ax
s
a
t
(
S
(
X
)
/
∅
)
(
14)
s
a
t
(
S
(
X
)
/
∅
)
=
{
s
in
(
s
)
if
|
s
|
>
∅
s
/
∅
if
|
s
|
<
∅
(
15
)
s
a
t
(
S
(
X
)
/
∅
)
:
s
atu
r
atio
n
f
u
n
ctio
n
,
∅
:
th
r
esh
o
ld
wid
th
o
f
th
e
s
atu
r
atio
n
f
u
n
ctio
n
.
T
h
e
eq
u
iv
alen
t
co
n
tr
o
l
is
a
co
n
tin
u
o
u
s
f
u
n
ctio
n
d
esig
n
ed
to
k
ee
p
th
e
s
y
s
tem
'
s
s
tate
co
n
s
tr
ain
ed
to
t
h
e
s
lid
in
g
s
u
r
f
ac
e
S
=
0
.
I
t
is
d
er
iv
ed
b
ased
o
n
th
e
s
u
r
f
ac
e
in
v
ar
ia
n
ce
co
n
d
itio
n
s
:
S
=
0
an
d
S
̇
=
0
.
Fro
m
a
p
h
y
s
ical
p
er
s
p
ec
tiv
e,
th
e
eq
u
iv
alen
t
co
n
tr
o
l
r
e
p
r
esen
t
s
th
e
a
v
er
ag
e
v
alu
e
o
f
th
e
c
o
n
tr
o
l
in
p
u
t
u
.
Ho
wev
er
,
th
is
co
n
tr
o
l
alo
n
e
d
o
es
n
o
t
g
u
ar
an
te
e
th
at
th
e
s
y
s
tem
tr
ajec
to
r
ies
w
i
ll
r
ea
ch
th
e
s
lid
in
g
s
u
r
f
ac
e.
T
h
er
ef
o
r
e
,
th
e
co
n
tr
o
l
in
p
u
t
u
i
s
co
m
p
o
s
ed
o
f
two
p
ar
ts
:
th
e
eq
u
i
v
alen
t
co
n
tr
o
l
an
d
a
d
is
co
n
tin
u
o
u
s
co
m
p
o
n
e
n
t
(
3
)
,
wh
ich
en
s
u
r
es
co
n
v
er
g
en
ce
to
th
e
s
lid
in
g
s
u
r
f
ac
e
an
d
m
ain
tain
s
th
e
s
y
s
tem
in
th
e
s
lid
in
g
m
o
d
e.
=
+
with
=
−
(
)
(
1
6
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2711
-
2
7
2
0
2714
5.
DIRE
CT
P
O
W
E
R
CO
NT
R
O
L
ST
R
AT
E
G
Y
5
.
1
.
Co
nv
ent
i
o
na
l D
P
C
o
f
t
h
e
DF
I
G
T
h
e
co
r
e
p
r
in
cip
le
o
f
DPC
in
v
o
lv
es
ch
o
o
s
in
g
a
s
eq
u
e
n
ce
o
f
s
witch
in
g
co
m
m
a
n
d
s
(
Sa,
S
b
,
Sc)
f
o
r
th
e
s
em
ico
n
d
u
cto
r
s
f
r
o
m
a
p
r
ed
ef
in
ed
s
witch
in
g
tab
le.
T
h
is
s
elec
t
io
n
is
b
ased
o
n
th
e
er
r
o
r
s
b
etwe
en
th
e
r
ef
er
en
ce
an
d
ac
tu
al
v
alu
es
o
f
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
we
r
,
wh
ich
ar
e
p
r
o
ce
s
s
ed
th
r
o
u
g
h
two
h
y
s
ter
esis
co
m
p
ar
ato
r
s
g
en
er
atin
g
d
ig
ita
l
o
u
tp
u
ts
Hp
a
n
d
Hq
,
r
esp
ec
t
iv
ely
.
Ad
d
itio
n
ally
,
th
e
c
h
o
ic
e
d
ep
en
d
s
o
n
th
e
s
ec
to
r
(
zo
n
e)
wh
er
e
th
e
r
o
to
r
f
lu
x
v
ec
to
r
is
lo
ca
ted
[
1
3
]
,
[
1
4
]
.
5
.
2
.
E
s
t
im
a
t
io
n o
f
a
ct
iv
e
a
nd
re
a
ct
iv
e
po
wer
s
R
ath
er
th
an
d
ir
e
ctly
m
ea
s
u
r
i
n
g
th
e
p
o
wer
tr
a
n
s
m
itted
th
r
o
u
g
h
th
e
lin
e,
t
h
is
m
eth
o
d
in
v
o
lv
es
m
o
n
ito
r
in
g
th
e
r
o
to
r
c
u
r
r
en
t
s
to
in
d
ir
ec
tly
esti
m
ate
th
e
s
tato
r
's
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
co
m
p
o
n
en
ts
,
d
en
o
ted
as
Ps
an
d
Qs
,
r
esp
ec
tiv
ely
.
B
y
an
al
y
zin
g
th
e
r
o
to
r
cu
r
r
e
n
t
s
ig
n
als
,
it
b
ec
o
m
es
p
o
s
s
ib
le
to
in
f
er
th
e
elec
tr
o
m
ag
n
etic
b
e
h
av
io
r
with
in
th
e
s
tato
r
win
d
in
g
s
,
th
er
e
b
y
en
ab
lin
g
m
o
r
e
r
esp
o
n
s
iv
e
a
n
d
ea
r
lier
co
n
tr
o
l
o
f
p
o
wer
e
x
ch
an
g
e
at
th
e
s
tato
r
s
id
e.
T
h
is
ap
p
r
o
ac
h
e
n
h
an
ce
s
d
y
n
am
ic
p
er
f
o
r
m
an
ce
an
d
h
a
s
b
ee
n
v
alid
ated
in
p
r
io
r
s
t
u
d
ies [
1
5
]
,
[
1
6
]
.
{
P
s
=
−
3
2
L
m
σ
L
s
L
r
V
s
φ
r
β
Q
s
=
3
2
(
V
s
σ
L
s
φ
s
−
V
s
L
m
σ
L
s
L
r
φ
r
α
)
(
1
7
)
W
h
er
e:
{
φ
r
α
=
σ
L
r
i
r
α
+
L
m
L
s
φ
s
φ
r
β
=
σ
L
r
i
r
β
|
φ
s
⃗
⃗
⃗
⃗
|
=
|
V
s
⃗
⃗
⃗
⃗
⃗
|
ω
s
σ
=
1
−
L
m
2
L
s
L
r
(
1
8
)
B
y
d
ef
in
in
g
th
e
an
g
le
δ
b
et
wee
n
th
e
s
tato
r
an
d
r
o
to
r
f
l
u
x
v
ec
to
r
s
,
th
e
ex
p
r
ess
io
n
s
f
o
r
Ps
an
d
Qs
ca
n
b
e
wr
itten
as:
{
P
s
=
−
3
2
L
m
σ
L
s
L
r
ω
s
|
φ
s
|
|
φ
r
|
sin
δ
Q
s
=
3
2
ω
s
σ
L
s
|
φ
s
|
(
L
m
L
r
|
φ
r
|
c
os
δ
−
|
φ
s
|
)
(
1
9
)
{
d
P
s
dt
=
−
3
2
L
m
σ
L
s
L
r
ω
s
|
φ
s
|
d
|
φ
r
|
s
i
n
δ
dt
d
Q
s
dt
=
3
2
L
m
ω
s
σ
L
s
L
r
|
φ
s
|
d
(
|
φ
r
|
co
s
δ
)
dt
(
2
0
)
6.
SM
C
-
DP
C_
SV
M
o
f
t
he
DF
I
G
6
.
1
.
SM
C
o
f
t
he
DF
I
G
T
o
r
eg
u
late
th
e
p
o
wer
,
a
r
elat
iv
e
d
eg
r
ee
o
f
n
=1
is
co
n
s
id
er
ed
.
T
h
e
c
o
n
tr
o
l
s
u
r
f
ac
e
e
x
p
r
e
s
s
io
n
s
f
o
r
th
e
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
ar
e
g
iv
en
b
y
(
2
1
)
an
d
(
2
2
)
[
1
7
]
,
[
1
8
]
:
S
(
P
)
=
P
s
−
r
ef
−
P
s
(
2
1
)
S
(
Q
)
=
Q
s
−
r
ef
−
Q
s
(
2
2
)
Du
r
in
g
th
e
c
o
n
v
e
r
g
en
ce
p
h
ase
,
in
o
r
d
er
to
s
atis
f
y
th
e
c
o
n
d
iti
o
n
S
(
P
)
S
̇
(
P
)
≤
0
,
we
im
p
o
s
e:
S
̇
(
P
)
=
−
V
s
M
σ
L
s
L
r
V
qr
n
(
2
3
)
Hen
ce
,
th
e
s
witch
in
g
ter
m
is
d
ef
in
ed
as:
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:
2088
-
8
6
9
4
R
o
b
u
s
t sli
d
in
g
mo
d
e
co
n
tr
o
l o
f a
DF
I
G
b
a
s
ed
o
n
th
e
S
V
M st
r
a
teg
y
(
I
b
r
a
h
im
Ya
ich
i
)
2715
V
qr
n
=
K
V
qr
s
a
t
(
S
(
P
)
)
(
2
4
)
T
o
v
er
if
y
th
e
s
y
s
tem
s
tab
ilit
y
co
n
d
itio
n
,
th
e
p
a
r
am
eter
K
V
qr
m
u
s
t
b
e
s
tr
ictly
p
o
s
it
iv
e.
T
o
p
r
ev
en
t
th
e
r
ef
er
en
ce
v
o
ltag
e
V
qr
f
r
o
m
ex
ce
ed
in
g
its
lim
its
,
it
i
s
o
f
ten
b
en
ef
icial
to
in
clu
d
e
a
v
o
ltag
e
l
im
iter
,
wh
ich
is
d
ef
in
ed
as
(
2
5
)
[
1
9
]
:
V
qr
l
i
m
=
V
qr
m
ax
s
a
t
(
P
)
(
2
5
)
Du
r
in
g
th
e
c
o
n
v
e
r
g
en
ce
p
h
ase
,
to
en
s
u
r
e
t
h
e
co
n
d
itio
n
S
(
Q
)
S
̇
(
Q
)
≤
0
is
m
et,
we
s
et:
S
̇
(
Q
)
=
−
V
s
M
σ
L
s
L
r
V
dr
n
(
2
6
)
C
o
n
s
eq
u
en
tly
,
th
e
s
witch
in
g
t
er
m
is
ex
p
r
ess
ed
as:
V
dr
n
=
K
V
dr
s
a
t
(
S
(
Q
)
)
(
2
7
)
T
o
en
s
u
r
e
s
y
s
tem
s
tab
ilit
y
,
t
h
e
p
ar
am
ete
r
K
V
dr
m
u
s
t
b
e
p
o
s
itiv
e
.
T
o
p
r
e
v
en
t
th
e
r
ef
er
en
ce
v
o
l
tag
e
V
dr
f
r
o
m
ex
ce
ed
in
g
its
lim
its
,
it is
o
f
ten
h
elp
f
u
l to
in
clu
d
e
a
v
o
ltag
e
lim
iter
d
ef
in
ed
as
(
2
8
)
:
V
dr
l
i
m
=
V
dr
m
ax
s
a
t
(
Q
)
(
2
8
)
6
.
2
.
SM
C
-
DP
C
ba
s
ed
o
n t
he
SVM
I
n
th
is
ap
p
r
o
ac
h
,
th
e
ac
tiv
e
a
n
d
r
ea
ctiv
e
p
o
wer
s
ar
e
r
eg
u
la
ted
u
s
in
g
two
s
lid
in
g
m
o
d
e
c
o
n
tr
o
ller
s
(
SMC
s
)
in
teg
r
ated
with
th
e
S
VM
alg
o
r
ith
m
,
th
er
eb
y
o
b
v
iat
in
g
th
e
n
ee
d
f
o
r
s
witch
in
g
ta
b
les
an
d
h
y
s
ter
esis
co
n
tr
o
ller
s
.
T
h
e
SVM
tech
n
iq
u
e
u
tili
ze
s
a
d
ig
ital
a
lg
o
r
ith
m
to
g
en
er
ate
a
s
witch
in
g
s
eq
u
en
ce
f
o
r
th
e
in
v
er
ter
s
witch
es,
r
esu
ltin
g
in
an
o
u
t
p
u
t
v
o
ltag
e
v
ec
to
r
th
at
cl
o
s
ely
ap
p
r
o
x
im
ates
th
e
r
ef
e
r
en
ce
v
o
ltag
e
v
ec
to
r
[
2
0
]
,
[
2
1
]
.
A
r
ep
r
esen
tatio
n
o
f
th
e
v
o
ltag
e
v
ec
to
r
is
p
r
esen
ted
in
Fig
u
r
e
2
.
T
h
e
s
ec
to
r
is
i
d
en
t
if
ied
b
ased
o
n
th
e
p
o
s
itio
n
o
f
th
e
v
ec
to
r
V
r
_
r
ef
with
in
th
e
co
m
p
lex
p
lan
e
(
α
r
-
β
r
)
,
wh
e
r
e
th
e
p
h
ase
an
g
le
θ
o
f
t
h
e
v
ec
to
r
is
d
ef
in
e
d
as f
o
llo
ws [
2
3
]
:
θ
=
a
r
c
ta
n
(
V
r
ef
(
β
)
V
r
ef
(
α
)
)
(
3
4
)
T
ab
le
1
d
eter
m
in
es th
e
s
ec
to
r
Z
(
i)
with
(
i =
1
,
.
.
.
,
6
)
f
o
r
t
h
e
d
if
f
er
en
t a
n
g
les θ
.
Fig
u
r
e
3
p
r
esen
ts
th
e
s
ch
em
at
ic
d
ia
g
r
am
o
f
th
e
p
r
o
p
o
s
ed
c
o
n
tr
o
l
ar
ch
itectu
r
e,
r
ef
er
r
ed
t
o
as
SMC
-
DPC
_
SVM,
d
e
s
ig
n
ed
f
o
r
ap
p
l
icatio
n
in
DFI
Gs.
T
h
e
co
n
tr
o
l
s
y
s
tem
in
teg
r
ates
two
in
d
ep
en
d
en
t
s
lid
in
g
m
o
d
e
co
n
tr
o
ller
s
:
o
n
e
r
esp
o
n
s
ib
le
f
o
r
r
e
g
u
latin
g
th
e
s
tato
r
ac
tiv
e
p
o
wer
an
d
th
e
o
th
er
f
o
r
m
an
ag
in
g
th
e
s
tato
r
r
ea
ctiv
e
p
o
wer
.
T
h
ese
co
n
tr
o
ller
s
o
p
er
ate
in
c
o
o
r
d
i
n
atio
n
wi
th
a
s
p
ac
e
v
ec
to
r
m
o
d
u
latio
n
(
SVM)
u
n
it,
wh
ich
en
s
u
r
es th
e
g
en
er
atio
n
o
f
o
p
ti
m
al
s
witch
in
g
s
ig
n
als f
o
r
th
e
p
o
wer
co
n
v
er
ter
.
T
h
is
ar
ch
itec
tu
r
e
aim
s
to
ac
h
iev
e
r
o
b
u
s
t
an
d
p
r
ec
is
e
p
o
we
r
co
n
tr
o
l
u
n
d
er
v
ar
y
in
g
o
p
er
atin
g
co
n
d
itio
n
s
wh
ile
r
e
d
u
cin
g
s
witch
in
g
lo
s
s
es
an
d
en
h
an
cin
g
th
e
d
y
n
am
ic
r
esp
o
n
s
e
o
f
th
e
s
y
s
tem
.
Fig
u
r
e
2
.
R
ep
r
esen
tatio
n
o
f
v
o
ltag
e
v
ec
to
r
s
in
th
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ce
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co
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d
in
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f
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[
2
2
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2
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8
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8
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4
I
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t J Po
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16
,
No
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Dec
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20
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3
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iag
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o
f
DFI
G
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b
ased
SMC
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DPC
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S
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7.
SI
M
UL
A
T
I
O
N
R
E
S
UL
T
S
B
o
th
co
n
tr
o
l
s
tr
ateg
ies
,
C
-
DPC
an
d
th
e
p
r
o
p
o
s
ed
SMC
-
DP
C
-
SVM
,
ar
e
s
im
u
lated
an
d
e
v
alu
ated
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ter
m
s
o
f
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eir
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ce
tr
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r
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ar
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s
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ac
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.
1
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ra
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2
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f
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r
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4
a
n
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5.
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if
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d
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o
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h
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at
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ateg
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n
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h
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esu
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o
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e
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icien
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ip
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tiv
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r
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p
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m
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to
th
e
c
o
n
v
e
n
tio
n
al
C
-
DPC
co
n
tr
o
l.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
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I
SS
N
:
2
0
8
8
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8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2711
-
2
7
2
0
2718
Fig
u
r
e
8
.
Sp
ec
tr
u
m
h
a
r
m
o
n
ic
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-
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u
r
e
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.
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ec
tr
u
m
h
a
r
m
o
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ic
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SMC
-
DP
C
_
SVM)
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u
r
e
1
0
.
Activ
e
an
d
r
ea
ctiv
e
p
o
wer
[
C
-
DPC
,
SMC
-
DP
C
_
S
VM
]
(
r
o
b
u
s
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[
1
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.
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.
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[
4
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Y
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[
5
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T.
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[
6
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M
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[
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B
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O
G
RAP
H
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E
S O
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AUTH
O
RS
Ibra
h
im
Ya
ich
i
wa
s
b
o
r
n
in
1
9
8
7
in
Ad
ra
r,
Alg
e
ria.
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re
c
e
iv
e
d
th
e
En
g
in
e
e
r
d
e
g
re
e
in
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e
c
tri
c
a
l
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g
i
n
e
e
rin
g
fro
m
th
e
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e
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y
o
f
S
i
d
i
-
Be
l
-
Ab
b
e
s,
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e
ria,
in
2
0
1
1
,
a
n
d
th
e
m
a
g
ister
d
e
g
re
e
fro
m
M
u
sta
fa
S
tam
b
o
u
li
,
M
a
sc
a
ra
,
Alg
e
ria
,
in
2
0
1
5
.
He
re
c
e
iv
e
d
th
e
Do
c
to
ra
te
d
e
g
re
e
in
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e
c
tri
c
a
l
E
n
g
in
e
e
rin
g
fr
o
m
t
h
e
Un
iv
e
rsity
o
f
S
id
i
Be
l
Ab
b
e
ss
e
(Alg
e
ria)
in
2
0
2
1
.
He
is
a
p
e
rm
a
n
e
n
t
re
se
a
rc
h
e
r
o
f
re
n
e
wa
b
le
e
n
e
rg
y
i
n
t
h
e
Re
n
e
wa
b
le
En
e
rg
y
Re
se
a
rc
h
Un
it
i
n
th
e
S
a
h
a
ra
n
e
n
v
ir
o
n
m
e
n
t,
Ad
ra
r
(Alg
e
ria).
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
ib
r
a
h
imy
a
ich
i@
g
m
a
il
.
c
o
m
.
K
o
u
d
d
a
d
El
h
a
c
h
e
m
i
is
a
d
o
c
to
r
a
t
t
h
e
Tele
c
o
m
m
u
n
ica
ti
o
n
a
n
d
Di
g
it
a
l
S
ig
n
a
l
P
ro
c
e
ss
in
g
Lab
o
ra
t
o
ry
,
Un
iv
e
rsit
y
o
f
S
i
d
i
Be
l
Ab
b
e
s
,
Al
g
e
ria,
b
y
n
a
ti
o
n
a
li
ty
,
b
o
rn
i
n
1
9
9
0
in
Ad
ra
r.
He
o
b
tain
e
d
a
Ba
c
h
e
lo
r'
s
d
e
g
re
e
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
in
2
0
1
4
fro
m
t
h
e
Un
iv
e
rsit
y
o
f
S
i
d
i
Be
l
Ab
b
e
s
.
He
th
e
n
c
o
m
p
lete
d
a
M
a
ste
r'
s
d
e
g
re
e
in
Tele
c
o
m
m
u
n
ica
ti
o
n
S
y
ste
m
s
fro
m
th
e
sa
m
e
u
n
iv
e
rsity
in
2
0
1
6
.
He
re
c
e
iv
e
d
a
d
o
c
to
ra
te
in
tele
c
o
m
m
u
n
ica
ti
o
n
sy
ste
m
s
fro
m
th
e
Un
iv
e
rsity
o
f
S
i
d
i
Be
l
Ab
b
e
ss
e
(Alg
e
ria)
in
2
0
2
2
.
He
is
a
p
e
rm
a
n
e
n
t
re
se
a
rc
h
e
r
in
o
p
ti
c
a
l
tele
c
o
m
m
u
n
ica
ti
o
n
s
a
t
t
h
e
Djil
la
li
Li
a
b
e
s
Un
i
v
e
rsity
,
S
i
d
i
Be
l
A
b
b
e
s
(Al
g
e
ria).
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
k
o
u
d
d
a
d
2
0
@h
o
tma
il
.
fr
.
Ao
u
m
r
i
Mo
h
a
m
me
d
is
a
P
h
.
D
.
st
u
d
e
n
t
a
t
Lab
o
ra
t
o
ire
d
e
Dé
v
e
lo
p
p
e
m
e
n
t
Du
ra
b
le
e
t
In
fo
rm
a
ti
q
u
e
(LDDI),
Un
iv
e
rsity
o
f
Ad
ra
r,
Al
g
e
ria.
Alg
e
rian
b
y
n
a
ti
o
n
a
li
t
y
,
b
o
rn
i
n
1
9
9
6
i
n
Ad
ra
r.
He
o
b
tai
n
e
d
a
Ba
c
h
e
lo
r'
s
d
e
g
re
e
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
in
2
0
1
8
fr
o
m
th
e
Un
iv
e
rsity
o
f
AD
RAR.
He
th
e
n
c
o
m
p
lete
d
a
m
a
ste
r'
s
d
e
g
re
e
i
n
El
e
c
tri
c
a
l
Co
n
tr
o
l
fro
m
th
e
sa
m
e
u
n
iv
e
rsity
i
n
2
0
2
2
.
He
sta
rted
h
is
P
h
.
D
.
st
u
d
ies
i
n
e
lec
tri
c
a
l
m
a
c
h
in
e
s
sp
e
c
ializa
ti
o
n
in
2
0
2
2
a
t
th
e
sa
m
e
u
n
iv
e
rsity
.
His
c
u
rre
n
t
re
se
a
rc
h
in
tere
sts
f
o
c
u
s
o
n
re
n
e
wa
b
le
e
n
e
rg
y
,
e
lec
tri
c
a
l
p
o
we
r
sy
ste
m
s,
a
d
a
p
t
iv
e
c
o
n
tro
l
s
y
ste
m
s
,
a
n
d
c
o
n
tr
o
l
s
y
ste
m
s
u
sin
g
a
rti
ficia
l
in
telli
g
e
n
c
e
tec
h
n
i
q
u
e
s
(n
e
u
ra
l
n
e
two
rk
s
a
n
d
f
u
z
z
y
lo
g
ic).
He
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
a
o
u
m
ri.
m
o
h
a
@
u
n
i
v
-
a
d
ra
r.
e
d
u
.
d
z
.
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