I
nte
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t
io
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l J
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l o
f
P
o
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E
lect
ro
nics
a
nd
Driv
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S
y
s
t
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s
(
I
J
P
E
DS
)
Vo
l.
1
2
,
No
.
4
,
Dec
em
b
er
202
1
,
p
p
.
24
43
~
24
50
I
SS
N:
2088
-
8
6
9
4
,
DOI
: 1
0
.
1
1
5
9
1
/
ijp
ed
s
.
v
1
2
.i
4
.
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24
43
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24
50
2443
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Lab
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Tec
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In
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Du
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a
c
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ler
li
k
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p
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o
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o
n
a
l
-
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teg
ra
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(P
I),
m
a
n
y
stu
d
ies
h
a
v
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b
e
e
n
u
se
d
n
o
n
-
li
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e
a
r
c
o
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r
s
p
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c
ially
w
h
e
n
i
t
c
o
m
e
s
to
ro
b
u
stn
e
ss
,
b
u
t
t
h
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les
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e
fficie
n
t
in
sli
d
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n
g
m
o
d
e
c
o
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l
ler
(S
M
)
d
u
e
to
th
e
sig
n
fu
n
c
ti
o
n
,
t
h
is
fu
n
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ti
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n
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a
s
a
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h
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o
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o
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a
in
d
isa
d
v
a
n
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it
c
a
n
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o
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p
e
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ted
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p
u
n
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v
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a
c
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p
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n
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o
n
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it
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n
,
T
h
is
p
a
p
e
r
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re
se
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ts
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li
n
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r
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r
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o
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o
l
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y
o
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h
e
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u
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ly
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fe
d
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in
d
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c
ti
o
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g
e
n
e
ra
to
r
(DFIG
)
fo
r
win
d
a
p
p
li
c
a
ti
o
n
s
y
ste
m
(W
AS)
u
si
n
g
slid
i
n
g
m
o
d
e
c
o
m
b
i
n
in
g
wit
h
b
a
c
k
ste
p
p
i
n
g
c
o
n
tr
o
ll
e
r
(S
M
-
BS
)
to
c
o
n
tr
o
l
p
r
o
d
u
c
e
d
sta
to
r
ic
p
o
we
rs
to
m
it
ig
a
te
u
n
n
e
c
e
ss
a
ry
c
h
a
tt
e
r
in
g
e
ffe
c
ts
in
h
e
re
n
t
i
n
trad
it
io
n
a
l
S
M
C
,
to
c
h
e
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k
th
e
e
ffe
c
ti
v
e
n
e
ss
o
f
t
h
e
c
o
n
tro
ll
e
r,
we
c
o
m
p
a
re
p
e
rfo
rm
a
n
c
e
o
f
slid
in
g
m
o
d
e
c
o
n
tr
o
ll
e
r
a
n
d
sli
d
in
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m
o
d
e
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tro
ll
e
r
c
o
m
b
in
i
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th
b
a
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k
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(
S
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i
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ter
m
s
o
f
re
q
u
ired
re
fe
re
n
c
e
trac
k
in
g
,
ro
b
u
st
n
e
ss
u
n
d
e
r
p
a
ra
m
e
tri
c
v
a
riatio
n
s
o
f
t
h
e
g
e
n
e
ra
to
r,
se
n
siti
v
it
y
to
p
e
rt
u
rb
a
ti
o
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s
a
n
d
re
a
c
ti
o
n
t
o
sp
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d
v
a
riatio
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s
u
n
d
e
r
in
v
e
stig
a
t
in
g
f
u
rt
h
e
r
o
f
th
e
c
h
a
tt
e
rin
g
p
h
e
n
o
m
e
n
o
n
.
K
ey
w
o
r
d
s
:
C
h
atter
in
g
p
h
en
o
m
en
o
n
Do
u
b
ly
-
f
e
d
-
in
d
u
ctio
n
g
en
er
at
o
r
R
o
b
u
s
tn
ess
Sli
d
in
g
m
o
d
e
c
o
m
b
in
i
n
g
with
b
ac
k
s
tep
p
in
g
Sli
d
in
g
m
o
d
e
c
o
n
tr
o
ller
W
in
d
ap
p
licatio
n
s
y
s
tem
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
:
B
o
u
ir
i A
b
d
ess
elam
L
ab
o
r
ato
r
y
o
f
Sm
ar
t G
r
id
s
an
d
R
en
ewa
b
le
E
n
er
g
ies (
S.G.
R
.
E
)
B
ec
h
ar
Un
iv
er
s
ity
B
.
P.
4
1
7
B
E
C
HAR,
0
8
0
0
0
,
Al
g
er
ia
E
m
ail:
ab
d
o
u
.
d
wid
i@
g
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
T
h
e
u
s
e
o
f
r
en
ewa
b
le
en
er
g
y
h
as
b
ec
o
m
e
im
p
er
ativ
e
in
o
u
r
tim
e,
n
o
t
o
n
ly
u
s
e
its
b
u
t
also
d
e
v
elo
p
an
d
m
ak
e
o
p
tim
al
u
s
e
o
f
its
,
Am
o
n
g
th
ese
en
er
g
ies
ar
e
win
d
p
o
wer
,
wh
ich
is
b
ased
o
n
s
ev
er
al
ty
p
es
o
f
g
en
er
ato
r
s
,
T
h
ese
g
en
er
ato
r
s
in
clu
d
e
th
e
d
o
u
b
ly
-
f
e
d
in
d
u
ctio
n
g
en
e
r
ato
r
(
DFI
G)
w
h
ich
is
th
e
o
p
tim
al
s
o
lu
tio
n
u
s
ed
in
win
d
ap
p
licatio
n
s
y
s
tem
f
o
r
th
e
v
a
r
iab
le
s
p
ee
d
[
1
]
t
h
e
W
E
C
S
–
b
ased
DFI
G
h
as
m
an
y
ad
v
an
tag
es
h
ig
h
r
esp
o
n
d
ef
f
icien
cy
u
n
d
er
win
d
s
p
ee
d
v
ar
iati
o
n
t
h
e
g
e
n
er
ato
r
ca
n
wo
r
k
f
o
r
3
0
%
o
f
s
y
n
ch
r
o
n
o
u
s
s
p
ee
d
,
L
ess
m
ec
h
an
ical
in
tr
icac
y
,
d
ec
o
u
p
led
co
n
tr
o
llab
le
p
o
wer
,
a
n
d
a
lo
w
co
s
t
r
o
to
r
co
n
v
er
ter
[
2
]
.
Ho
wev
er
,
it
is
a
ch
allen
g
e
to
co
n
tr
o
l
th
e
DFI
G
s
in
ce
it
p
r
esen
ts
a
m
u
ltiv
ar
iab
le
n
o
n
lin
ea
r
an
d
c
o
u
p
led
s
y
s
tem
with
m
an
y
p
ar
am
eter
u
n
ce
r
tain
ties
(
r
esis
tan
ce
,
in
d
u
cta
n
ce
,
in
er
tia,
f
r
ic
tio
n
co
ef
f
icien
t)
.
An
d
i
n
th
is
ca
s
e
th
e
u
s
e
o
f
PI
co
n
tr
o
ller
is
n
o
t
v
er
y
ef
f
ec
tiv
e
b
ec
au
s
e
o
f
th
e
lim
ited
r
o
b
u
s
tn
ess
wh
ich
is
d
u
e
to
lin
ea
r
i
za
tio
n
f
u
n
ctio
n
o
f
DFI
G
b
y
t
h
e
a
d
d
itio
n
o
f
th
e
t
er
m
o
f
c
o
m
p
en
s
atio
n
with
o
u
t
ad
ju
s
tm
en
t,
o
n
th
e
o
th
e
r
,
th
e
n
o
n
-
lin
ea
r
co
n
t
r
o
l
wh
ich
tak
es a
ll th
e
f
u
n
ctio
n
o
f
th
e
DFI
G
o
n
co
n
s
id
er
atio
n
.
Ma
n
y
ap
p
r
o
ac
h
es
an
d
tech
n
iq
u
es,
s
u
ch
as,
th
e
b
ac
k
s
tep
p
in
g
c
o
n
tr
o
ller
(
B
C
)
[
3
]
an
d
t
h
e
s
lid
in
g
m
o
d
e
co
n
t
r
o
ller
(
SM)
[
4
]
,
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
to
d
ea
l
p
r
o
v
id
e
f
ast
tr
an
s
ien
t
r
esp
o
n
s
e
an
d
h
an
d
le
p
ar
am
ete
r
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
.
4
,
Dec
em
b
er
2
0
2
1
:
24
43
–
24
50
2444
v
ar
iatio
n
s
[
5
]
,
s
h
o
w
th
at
th
e
b
ac
k
s
tep
p
in
g
co
n
tr
o
ller
an
d
h
av
e
a
g
o
o
d
tr
ac
k
in
g
an
d
r
o
b
u
s
tn
ess
p
er
f
o
r
m
an
ce
.
Mo
r
eo
v
er
,
d
esp
ite
th
e
well
ad
m
itted
ef
f
ec
tiv
en
ess
an
d
r
o
b
u
s
tn
ess
o
f
SMC
s
tr
ateg
ies
[
6
]
,
s
ev
er
al
s
o
lu
tio
n
s
to
th
e
ch
atter
in
g
p
r
o
b
lem
h
av
e
b
ee
n
p
r
o
p
o
s
ed
f
o
r
in
s
tan
ce
[
7
]
p
r
o
p
o
s
es
a
n
ew
s
lid
in
g
s
u
r
f
ac
e
g
iv
in
g
r
is
e
to
an
in
teg
r
al
s
lid
in
g
m
o
d
e
o
r
s
lid
in
g
m
o
d
e
with
d
o
u
b
le
in
teg
r
al
o
f
.
T
h
e
o
b
tain
ed
co
n
tr
o
ller
r
ed
u
ce
s
th
e
ch
atter
in
g
p
h
en
o
m
en
o
n
b
u
t
f
ails
to
s
u
p
p
r
ess
it.
An
d
also
,
th
e
s
ec
o
n
d
o
r
d
er
s
lid
in
g
m
o
d
e
(
2
-
SMC
)
was
f
o
u
n
d
to
b
e
a
g
o
o
d
s
o
lu
tio
n
f
o
r
th
e
c
h
atter
in
g
p
r
o
b
le
m
.
I
n
d
ee
d
,
f
o
r
d
if
f
e
r
e
n
t
v
ar
ian
t
o
f
th
e
2
-
SMC
,
th
at
is
,
with
th
e
twis
tin
g
alg
o
r
ith
m
,
with
th
e
ter
m
i
n
al
a
lg
o
r
ith
m
o
r
with
t
h
e
q
u
asi
-
co
n
tin
u
o
u
s
alg
o
r
ith
m
,
t
h
e
c
h
atter
in
g
is
elim
i
n
ated
,
[
8
]
,
t
h
ese
s
o
lu
tio
n
s
p
r
o
v
e
e
f
f
e
ctiv
e
in
r
e
d
u
cin
g
th
e
c
h
atter
in
g
an
d
g
u
a
r
an
ty
in
g
th
e
s
y
s
tem
r
o
b
u
s
tn
ess
,
b
u
t
ten
d
to
s
lo
w
th
e
s
y
s
tem
r
esp
o
n
s
es.
I
n
[
9
]
,
a
n
ew
m
eth
o
d
ca
lled
m
u
lti
-
lev
el
s
witch
in
g
tech
n
iq
u
e
h
as b
ee
n
p
r
o
p
o
s
ed
.
T
h
is
ap
p
r
o
ac
h
u
s
e
v
a
r
iab
le
s
witch
in
g
g
ain
s
to
elim
in
ate
th
e
ch
atter
in
g
ef
f
ec
t.
T
h
e
co
m
b
i
n
atio
n
o
f
f
u
zz
y
lo
g
ic
an
d
SMC
h
as b
ee
n
s
tu
d
ied
in
[
1
]
,
an
d
s
lid
in
g
m
o
d
e
b
ac
k
s
tep
p
in
g
co
n
tr
o
l [
1
0
]
P
r
e
v
io
u
s
wo
r
k
b
y
th
e
au
th
o
r
s
.
T
h
is
ar
ticle
p
r
esen
ts
a
n
ew
s
lid
in
g
m
o
d
e
c
o
n
tr
o
ller
(
SMC
)
co
m
b
in
i
n
g
with
b
ac
k
s
tep
p
in
g
(
SM
-
B
S)
u
s
in
g
L
y
a
p
u
n
o
v
c
o
n
d
itio
n
s
.
F
o
r
ef
f
ec
tiv
e
in
r
ed
u
cin
g
th
e
ch
atter
in
g
esp
ec
ially
in
t
h
e
p
r
esen
ce
o
f
PW
M
r
o
to
r
co
n
v
er
ter
(
R
SC
)
u
n
d
er
win
d
v
ar
iatio
n
s
p
ee
d
wh
er
e
wer
e
w
e
ab
le
to
en
s
u
r
e
s
y
s
tem
r
o
b
u
s
tn
ess
,
we
ch
ec
k
its
ef
f
ec
tiv
en
ess
th
r
o
u
g
h
a
co
m
p
ar
ativ
e
s
tu
d
y
b
etwe
en
to
w
co
n
tr
o
ller
class
ical
s
lid
in
g
m
o
d
e
(
SM)
,
an
d
wh
ich
co
m
p
en
s
ated
b
y
b
ac
k
s
tep
p
in
g
(
SM
-
B
S)
in
ter
m
s
o
f
r
ef
er
en
ce
p
o
we
r
r
e
q
u
ir
ed
,
s
en
s
itiv
ity
to
p
e
r
tu
r
b
atio
n
s
u
n
d
er
win
d
s
p
ee
d
v
a
r
iatio
n
s
,
an
d
r
o
b
u
s
tn
ess
ag
ain
s
t
p
ar
am
eter
s
v
ar
iatio
n
s
th
e
r
esu
lts
an
aly
ze
d
in
MA
T
L
AB
/S
im
u
lin
k
s
o
f
twar
e
.
T
h
is
p
a
p
er
p
r
esen
t
f
ir
s
tly
t
h
e
m
o
d
elin
g
o
f
DFI
G,
th
en
we
d
ev
elo
p
e
d
th
e
co
n
tr
o
l
s
y
n
th
esis
o
f
o
u
tp
u
t
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
s
u
s
in
g
class
ical
SM
co
n
tr
o
ller
an
d
t
h
en
we
im
p
r
o
v
e
its
p
er
f
o
r
m
an
ce
b
y
ad
d
itio
n
o
f
L
y
ap
u
n
o
v
b
ac
k
s
tep
p
in
g
co
n
d
iti
o
n
(
SM
-
B
S).
Fin
ally
,
b
y
th
e
r
esu
lts
o
b
tain
ed
we
ca
n
co
n
f
i
r
m
th
e
ef
f
icien
cy
o
f
t
h
is
h
y
b
r
id
c
o
n
tr
o
l.
2.
M
AT
H
E
M
AT
I
CL
A
M
O
D
E
L
O
F
DF
I
G
T
h
e
Par
k
f
r
am
e
m
o
d
el
o
f
DFI
G
ca
n
b
e
r
e
p
r
esen
ted
b
y
s
tato
r
,
r
o
to
r
v
o
ltag
e
a
n
d
f
l
u
x
ex
p
r
es
s
io
n
s
as
f
o
llo
ws [
1
1
]
-
[
1
3
]
.
{
=
+
−
=
+
+
=
+
−
=
+
+
(
1
)
wh
e
r
e
:
=
−
(
2
)
{
=
+
=
+
=
+
=
+
(
3
)
th
e
s
tato
r
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
s
ar
e
wr
itten
:
{
=
+
=
−
(
4
)
3.
T
H
E
NO
N
-
L
I
N
E
AR
S
T
RA
T
E
G
Y
O
F
CO
NT
RO
L
DF
I
G
T
o
r
eg
u
late
th
e
DFI
G,
we
u
s
e
s
tr
ateg
y
th
at
p
r
o
v
id
es
a
d
ec
o
u
p
led
b
etwe
en
d
-
q
r
ef
er
e
n
ce
f
r
am
e
b
y
o
r
ien
ted
s
tato
r
ic
f
lu
x
alo
n
g
t
h
e
d
ir
ec
t
ax
is
we
h
av
e:
=
an
d
=
0
.
[
1
3
]
,
an
d
also
b
y
n
e
g
le
ctin
g
th
e
s
tato
r
ic
r
esis
tan
ce
=
0
u
n
d
er
t
h
e
p
r
em
is
e
o
f
h
ig
h
g
en
er
ato
r
s
with
h
ig
h
p
o
wer
,
u
n
d
er
also
th
e
h
y
p
o
th
esis
o
f
g
r
id
s
tab
ilit
y
s
im
p
le
v
o
ltag
e
,
it
'
s
lead
in
g
to
a
co
n
s
tan
t
s
tato
r
f
lu
x
.
W
e
o
b
tain
ed
:
=
0
=
an
d
we
ca
n
co
n
tr
o
l
th
e
o
u
tp
u
t
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
s
o
f
DFI
G
th
r
o
u
g
h
t
h
e
co
n
tr
o
l
o
f
r
o
to
r
cu
r
r
en
t
(
5
)
ca
n
b
e
wr
itten
:
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
694
I
mp
r
o
ve
d
s
lid
in
g
mo
d
e
p
o
w
er
co
n
tr
o
l o
f d
o
u
b
ly
-
fed
-
in
d
u
ctio
n
g
en
era
to
r
… (
B
o
u
ir
i A
b
d
ess
ela
m
)
2445
{
=
−
=
−
+
2
(
5
)
T
h
e
in
p
u
t
r
ef
er
e
n
ce
v
o
ltag
es o
f
DFI
G
ex
p
r
ess
ed
as f
o
llo
ws:
{
=
+
+
.
+
=
+
−
.
(
6
)
W
h
er
e
=
−
2
is
th
e
co
u
p
lin
g
ter
m
,
a
n
d
th
e
s
lip
is
,
=
(
−
)
/
4.
SL
I
DING
M
O
DE
CO
N
T
RO
L
L
E
R
SY
NT
H
E
SI
S
T
h
e
b
asic
co
n
ce
p
t
o
f
s
lid
in
g
m
o
d
e
is
to
b
r
in
g
in
g
h
e
s
tate
tr
ajec
to
r
y
b
ac
k
clo
s
er
to
th
e
s
lid
in
g
s
u
r
f
ac
e
an
d
s
tep
f
o
r
war
d
with
a
ce
r
t
ain
d
y
n
am
ic
e
q
u
ilib
r
iu
m
p
o
i
n
t
[
1
4
]
-
[
1
6
]
.
W
e
tak
e
th
e
f
o
r
m
o
f
th
e
g
en
er
al
eq
u
atio
n
p
r
o
p
o
s
ed
b
y
Slo
tin
e
an
d
L
i to
f
i
n
d
th
e
s
lid
in
g
m
o
d
e
s
u
r
f
ac
e
[
1
7
]
:
{
(
)
−
(
+
)
−
1
(
)
(
)
−
−
(
7
)
w
h
er
e
e
is
th
e
s
lid
in
g
m
o
d
e
s
u
r
f
ac
e
t
o
b
e
ad
j
u
s
ted
,
is
th
e
p
o
s
itiv
e
co
ef
f
icien
t,
n
is
th
e
s
y
s
tem
o
r
d
e
r
,
=
[
,
•
.
.
.
.
,
−
1
]
v
ar
iab
le
o
f
th
e
r
ef
er
e
n
ce
s
ig
n
al,
an
=
[
,
•
.
.
.
.
,
(
−
1
)
]
,
I
t'
s
th
e
co
n
tr
o
ller
s
ig
n
al
.
T
h
e
s
tr
u
ctu
r
e
o
f
a
co
n
tr
o
ller
h
as
two
m
ai
n
f
u
n
cti
o
n
s
;
f
o
r
th
e
lin
ea
r
izatio
n
a
n
d
s
tab
ilizin
g
[
1
8
]
th
is
last
is
v
er
y
n
ec
ess
ar
y
in
ter
m
s
o
f
co
n
tr
o
l
b
y
m
ea
n
s
o
f
s
lid
in
g
tech
n
iq
u
e
,
b
ec
au
s
e
it
is
u
s
ed
to
r
ejec
t
ex
ter
n
al
d
is
tu
r
b
an
ce
s
;
T
h
e
co
n
tr
o
l
alg
o
r
ith
m
d
ete
r
m
in
es th
r
o
u
g
h
th
e
r
elatio
n
s
h
ip
:
(
)
=
(
)
+
(
)
(
8
)
(
)
T
h
e
Fil
ip
o
v
an
d
Utk
in
p
r
o
p
o
s
al
f
o
r
th
e
eq
u
iv
alen
t
f
u
n
ctio
n
[
1
9
]
.
T
h
is
is
u
s
ed
to
p
r
eser
v
e
th
e
s
lid
i
n
g
s
u
r
f
ac
e
co
n
d
itio
n
(
(
)
=
0
)
ca
lcu
lated
b
y
ac
k
n
o
wled
g
in
g
th
at
b
e
h
a
v
io
r
o
f
t
h
e
s
y
s
tem
d
u
r
in
g
th
e
s
lid
in
g
m
o
d
e
ca
n
g
iv
e
b
y
:
(
)
•
=
0
(
9
)
C
o
n
v
er
g
en
ce
c
o
n
d
itio
n
(
)
T
h
e
d
y
n
a
m
ic
b
eh
av
i
o
r
o
f
th
e
s
y
s
tem
d
u
r
in
g
th
e
co
n
v
er
g
en
c
e
co
n
d
itio
n
is
ca
lcu
lated
in
o
r
d
er
to
s
atis
f
y
th
e
co
n
d
itio
n
s
o
f
co
n
v
er
g
en
ce
,
to
en
s
u
r
e
th
e
attr
ac
tiv
en
ess
o
f
th
e
v
ar
iab
le
to
co
n
tr
o
l th
e
s
lid
in
g
s
u
r
f
ac
e:
(
)
•
=
(
)
(
1
0
)
w
e
s
elec
t
th
e
er
r
o
r
b
etwe
en
m
ea
s
u
r
ed
an
d
r
ef
e
r
en
ce
d
s
tato
r
f
o
r
ce
s
in
o
u
r
s
tu
d
y
as
s
lid
in
g
m
o
d
e
s
u
r
f
ac
es
with
an
n
=
1
.
{
(
)
=
_
−
(
)
=
_
−
(
1
1
)
B
y
d
er
iv
in
g
s
lid
in
g
s
u
r
f
ac
es
an
d
u
s
in
g
p
o
wer
s
(
5
)
th
e
n
w
e
s
h
o
o
t
t
h
e
cu
r
r
en
t
ex
p
r
ess
io
n
•
an
d
•
f
r
o
m
v
o
ltag
e
(
6
)
is
o
b
tain
ed
:
{
(
)
•
=
_
•
+
[
−
−
.
−
]
(
)
•
=
_
•
+
[
−
+
.
]
(
1
2
)
b
y
r
ep
lacin
g
th
e
e
x
p
r
ess
io
n
o
f
an
d
by
(
+
)
an
d
(
+
)
r
esp
ec
tiv
ely
,
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
.
4
,
Dec
em
b
er
2
0
2
1
:
24
43
–
24
50
2446
{
(
)
•
=
_
•
+
[
(
+
)
−
−
.
−
]
(
)
•
=
_
•
+
[
(
+
)
−
+
.
]
(
1
3
)
I
n
s
lid
in
g
m
o
d
e
s
tead
y
s
tate
co
n
d
itio
n
,
=
0
th
e
co
n
tr
o
ls
=
an
d
(
)
•
=
0
,
(
)
•
=
0
eq
u
i
v
alen
t
is
f
o
u
n
d
f
r
o
m
(
1
3
)
wr
itten
as f
o
llo
ws:
{
=
−
_
•
+
+
.
+
=
−
_
•
+
−
.
(
1
4
)
Su
b
s
titu
tin
g
th
e
ex
p
r
ess
io
n
(
1
4
)
in
(
1
3
)
,
An
d
th
e
f
o
llo
win
g
ex
p
r
ess
io
n
ca
n
b
e
wr
itten
:
{
(
)
•
=
(
)
•
=
(
1
5
)
T
o
en
s
u
r
e
th
e
co
n
v
er
g
e
n
ce
o
f
f
u
n
ctio
n
0
)
(
.
)
(
x
S
x
S
•
ac
co
r
d
in
g
ly
,
th
e
s
witch
in
g
ter
m
s
ar
e
as f
o
llo
ws:
{
=
.
(
(
)
)
=
.
(
(
)
)
(
1
6
)
,
Po
s
itiv
e
p
ar
am
eter
s
m
u
s
t b
e
u
s
ed
to
ch
ec
k
s
y
s
tem
s
tab
ilit
y
.
T
h
e
class
ical
s
lid
in
g
m
o
d
e
(
SM)
b
lo
ck
d
iag
r
a
m
co
n
tr
o
l
f
o
r
DFI
G
is
s
h
o
wn
in
Fig
u
r
e
1
.
No
te
th
at
th
e
er
r
o
r
f
u
n
ctio
n
,
s
lid
in
g
s
u
r
f
ac
e
in
Fig
u
r
e
1
,
is
o
n
ly
i
n
clu
d
ed
in
t
h
e
ch
atter
f
u
n
ctio
n
(
)
f
o
r
p
r
o
ce
s
s
in
g
an
d
d
o
es
n
o
t in
p
u
t in
eq
u
iv
alen
t f
u
n
ctio
n
.
Fig
u
r
e
1
.
C
lass
ical
s
lid
in
g
m
o
d
e
(
SM)
b
lo
c
k
d
iag
r
a
m
f
o
r
DFI
G
5.
SL
I
DING
M
O
DE
CO
M
B
I
N
I
NG
WI
T
H
B
ACK
S
T
E
P
P
I
NG
DE
SI
NG
Au
th
o
r
s
in
[
2
0
]
-
[
2
2
]
im
p
lem
e
n
ted
th
e
b
ac
k
s
tep
p
in
g
m
eth
o
d
i
n
1
9
9
0
to
m
ain
tain
g
e
n
er
al
co
n
s
is
ten
cy
,
u
s
u
ally
m
u
ltiv
ar
iate
to
h
ig
h
er
o
r
d
er
,
c
o
n
tr
o
l
s
y
s
tem
s
.
I
t
is
a
m
eth
o
d
f
o
r
s
y
n
th
esizin
g
r
ec
u
r
s
iv
e
class
es
o
f
n
o
n
lin
ea
r
tr
ian
g
u
lar
s
tr
u
ctu
r
es
,
wh
atev
er
th
eir
o
r
d
er
[
2
3
]
.
B
ac
k
s
tep
p
in
g
tech
n
i
q
u
e
is
a
n
o
n
lin
ea
r
m
eth
o
d
f
o
r
co
n
tr
o
l
m
u
ltiv
ar
iab
le
s
y
s
tem
o
n
th
e
b
asis
o
f
th
e
L
y
ap
u
n
o
v
th
e
o
r
em
[
2
4
]
.
C
o
m
p
ar
ed
with
o
th
er
co
n
tr
o
l
m
eth
o
d
s
,
[
2
5
]
b
ac
k
s
tep
p
in
g
ad
v
an
tag
e
is
its
v
er
s
atili
ty
th
at
is
ap
p
r
o
p
r
iate
f
o
r
an
y
v
ar
iatio
n
to
k
ee
p
co
n
d
itio
n
s
tab
ilit
y
o
f
th
e
s
y
s
tem
.
W
e
ch
o
o
s
e
th
e
L
y
ap
u
n
o
v
V1
f
u
n
ctio
n
f
i
r
s
t in
a
q
u
a
d
r
atic
f
o
r
m
f
o
r
o
u
r
s
y
s
tem
1
=
1
2
1
2
(
1
7
)
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:
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8
694
I
mp
r
o
ve
d
s
lid
in
g
mo
d
e
p
o
w
er
co
n
tr
o
l o
f d
o
u
b
ly
-
fed
-
in
d
u
ctio
n
g
en
era
to
r
… (
B
o
u
ir
i A
b
d
ess
ela
m
)
2447
T
h
e
d
er
iv
ativ
e
is
as f
o
llo
ws:
1
•
=
1
.
1
•
(
1
8
)
L
y
ap
u
n
o
v
c
o
n
d
itio
n
to
g
u
ar
an
tee
th
e
s
tab
ilit
y
o
f
th
e
s
u
b
s
y
s
t
em
1
•
,
m
u
s
t b
e
n
eg
ativ
e
s
o
we
h
av
e
to
ch
o
o
s
e:
1
•
=
−
.
1
2
<
0
(
1
9
)
w
e
b
ase
o
n
(
1
9
)
to
ch
ec
k
th
e
s
tab
ilit
y
co
n
d
itio
n
with
th
e
s
i
g
n
f
u
n
ctio
n
o
f
th
e
class
ical
SM
co
n
tr
o
ller
f
o
r
th
e
co
n
d
itio
n
.
T
h
e
co
n
d
itio
n
o
f
co
n
v
er
g
en
ce
(
)
•
.
(
)
≺
0
ca
n
b
e
v
er
if
ied
b
y
th
e
u
s
e
o
f
th
e
eq
u
atio
n
o
f
ly
ap
o
n
o
v
b
ac
k
s
tep
p
in
g
c
o
n
d
iti
o
n
(
1
9
)
d
i
r
ec
tly
in
th
e
(
1
3
)
:
{
(
)
•
=
_
•
+
[
(
+
)
−
−
.
−
]
=
−
1
(
)
(
)
•
=
_
•
+
[
(
+
)
−
+
.
]
=
−
2
(
)
(
2
0
)
1
,
2
>
0
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
s
Gain
o
f
r
esp
ec
tiv
e.
Du
r
in
g
s
lid
in
g
s
tead
y
s
tate
co
n
d
itio
n
,
(
)
•
=
0
,
(
)
•
=
0
an
d
=
=
0
eq
u
iv
alen
t
f
u
n
ctio
n
ar
e
f
o
u
n
d
f
r
o
m
(
2
0
)
w
r
itten
as f
o
llo
ws:
{
=
−
_
•
+
+
.
+
+
−
1
(
)
=
−
_
•
+
−
.
+
−
2
(
)
(
2
1
)
Su
b
s
titu
tin
g
th
e
e
x
p
r
ess
io
n
(
2
1
)
in
(
2
0
)
,
s
am
e
way
i
n
(
1
5
)
a
n
d
(
1
6
)
f
o
r
f
i
n
d
th
e
ex
p
r
ess
io
n
o
f
,
with
th
e
s
am
e
v
alu
es
o
f
SM
(
,
)
f
o
r
en
s
u
r
e
th
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
n
ew
co
n
tr
o
ller
(
SM
-
B
S)
T
h
u
s
,
th
e
d
iag
r
am
b
l
o
ck
o
f
S
lid
in
g
m
o
d
e
co
m
b
in
in
g
with
b
ac
k
s
tep
p
in
g
co
n
tr
o
l o
f
t
h
e
DFI
G
is
s
h
o
wn
in
th
e
Fig
u
r
e
2
.
Fig
u
r
e
2
.
DFI
G
d
iag
r
am
b
l
o
ck
o
f
Sli
d
in
g
m
o
d
e
c
o
m
b
in
in
g
w
ith
b
ac
k
s
tep
p
in
g
6.
SI
M
UL
A
T
I
O
N
R
E
S
UL
T
S
6
.
1
.
T
ra
c
k
ing
t
est
T
h
e
ac
tiv
e
an
d
r
ea
ctiv
e
r
esp
o
n
s
e
o
f
th
e
DFI
G
(
5
KW
)
b
y
to
w
r
eg
u
lato
r
s
(
SM,
SM
-
B
S
)
with
o
u
t
PW
M
co
n
v
er
ter
(
lev
el
two
)
an
d
with
o
u
t
p
er
tu
r
b
atio
n
s
(
A
t
th
e
n
o
m
in
al
s
p
ee
d
o
f
th
e
g
en
er
ato
r
.
)
an
d
n
o
p
ar
am
eter
s
v
ar
iatio
n
s
f
o
r
th
e
tr
ac
k
test
.
W
h
er
e
we
n
o
tice
d
th
e
clo
s
e
p
er
f
o
r
m
an
ce
o
f
th
e
r
eg
u
lato
r
s
with
im
p
r
o
v
em
e
n
t o
f
th
e
SM
-
B
S c
o
n
tr
o
ller
s
h
o
w
n
in
Fi
g
u
r
e
3
.
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
.
4
,
Dec
em
b
er
2
0
2
1
:
24
43
–
24
50
2448
Fig
u
r
e
3
.
Po
wer
/
cu
r
r
en
t
c
o
n
tr
o
ller
r
esp
o
n
s
e
o
f
DFI
G
(
r
ef
er
e
n
ce
test
)
6
.
2
.
Ro
bu
s
t
nes
s
t
ests
T
h
e
r
o
b
u
s
tn
ess
test
ag
ain
s
t
p
ar
am
eter
s
v
ar
iatio
n
s
o
f
DFI
G.
Fig
u
r
e
4
th
e
v
alu
e
o
f
th
e
r
o
to
r
ic
an
d
s
tato
r
ic
in
d
u
ctan
ce
an
d
th
e
m
ag
n
etizin
g
in
d
u
ctan
ce
M
a
r
e
i
n
cr
ea
s
ed
b
y
5
0
%
an
d
1
0
%
s
u
cc
ess
iv
ely
o
f
th
e
n
o
m
in
al
v
al
u
es,
th
e
r
o
t
o
r
ic
r
es
is
tan
ce
is
in
cr
ea
s
ed
b
y
1
0
0
%
o
f
n
o
m
in
al
v
alu
e
.
Fig
u
r
e
4
.
C
o
n
tr
o
ller
re
s
p
o
n
s
e
o
f
DFI
G
(
,
+
50%
,
+
10%
,
+
100%
)
6
.
3
.
Sens
it
iv
it
y
t
o
P
er
t
urba
t
i
o
ns
t
est:
(
cha
t
t
er
ing
ph
eno
meno
n)
I
t
is
clea
r
ly
s
h
o
wn
Fig
u
r
e
5
with
PW
M,
th
e
d
r
am
atic
am
p
litu
d
e
r
ed
u
ctio
n
o
f
t
h
e
o
x
illatio
n
s
co
n
ce
r
n
in
g
ch
atter
in
g
p
h
e
n
o
m
en
o
n
a
n
d
alm
o
s
t
ze
r
o
er
r
o
r
r
ef
er
en
ce
tr
ac
k
in
g
in
th
e
ca
s
e
s
lid
in
g
m
o
d
–
b
ac
k
s
tep
p
in
g
(
SM
-
B
S)
c
o
n
tr
o
l
.
Un
d
er
s
p
ee
d
v
ar
iatio
n
at
t=2
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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n
t
J
Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
694
I
mp
r
o
ve
d
s
lid
in
g
mo
d
e
p
o
w
er
co
n
tr
o
l o
f d
o
u
b
ly
-
fed
-
in
d
u
ctio
n
g
en
era
to
r
… (
B
o
u
ir
i A
b
d
ess
ela
m
)
2449
Fig
u
r
e
5
.
C
o
n
tr
o
ller
re
s
p
o
n
s
e
o
f
DFI
G
u
n
d
e
r
win
d
s
p
ee
d
v
ar
iatio
n
(
C
h
atter
in
g
p
h
en
o
m
en
o
n
)
7.
CO
NCLU
SI
O
N
I
n
th
is
p
a
p
er
we
h
av
e
b
ee
n
a
b
le
to
m
a
k
e
th
e
s
lid
in
g
s
u
r
f
ac
e
(
er
r
o
r
)
as
i
n
p
u
t
f
u
n
ctio
n
f
o
r
b
o
th
m
ain
f
u
n
ctio
n
s
(
Veq
an
d
Vn
)
o
f
S
M
-
B
S
with
f
o
u
r
s
ettin
g
g
ain
(
Kv
d
r
;
Kv
q
r
;
K1
,
K
2
)
,
r
ev
e
r
s
e
co
n
v
en
tio
n
al
SM
co
n
tr
o
l
h
as
o
n
e
in
p
u
t
o
f
s
lid
in
g
s
u
r
f
ac
e
o
n
ly
a
b
o
u
t
s
ig
n
f
u
n
ctio
n
a
n
d
th
is
is
th
e
m
a
in
d
r
awb
ac
k
.
T
h
is
co
m
b
in
ed
co
n
t
r
o
l
b
etwe
en
s
lid
in
g
m
o
d
e
a
n
d
b
ac
k
s
tep
p
in
g
tech
n
iq
u
e
,
cr
ea
ted
a
n
ew
co
n
tr
o
l
ad
d
ed
t
o
th
e
class
ical
s
lid
in
g
m
o
d
e
,
it
g
a
v
e
g
o
o
d
r
esu
lts
af
ter
th
e
co
m
p
ar
ativ
e
s
tu
d
y
b
etwe
en
SMC
an
d
SM
-
B
S:
af
ter
th
e
r
esu
lts
o
b
tain
ed
b
y
MA
T
L
A
B
/
Simu
lin
k
,
f
o
r
t
h
is
n
ew
co
n
tr
o
ller
we
ca
n
o
b
s
er
v
e
Hig
h
o
u
tp
u
t
r
esp
o
n
s
e
tim
e
f
o
r
t
r
ac
k
in
g
o
f
r
ef
er
en
ce
s
a
n
d
it’s
m
o
r
e
r
o
b
u
s
t
a
g
ain
s
t
p
ar
am
ete
r
s
v
ar
ia
tio
n
o
f
t
h
e
DFI
G
v
er
s
u
s
th
e
co
n
v
en
tio
n
al
SM
c
o
n
tr
o
ller
.
An
d
r
e
g
ar
d
in
g
c
h
atter
in
g
p
h
e
n
o
m
en
o
n
a
n
d
s
en
s
itiv
ity
to
p
er
tu
r
b
atio
n
,
we
also
o
b
s
er
v
e
elim
in
atio
n
o
f
th
e
ch
a
tter
in
g
p
h
en
o
m
en
o
n
th
e
ef
f
ec
t
o
f
th
e
PW
M
clea
r
ly
d
ec
r
ea
s
es
an
d
with
its
h
ig
h
ef
f
icien
cy
to
m
a
in
tain
its
p
er
f
o
r
m
an
ce
in
th
e
p
r
esen
ce
o
f
p
e
r
tu
r
b
atio
n
(
s
p
ee
d
v
ar
iatio
n
t=
2
s
)
co
m
p
ar
e
d
to
t
h
e
class
ical
S
M
co
n
tr
o
ller
.
RE
F
E
R
E
NC
E
S
[1
]
S.
L
a
b
d
a
i
,
N.
B
o
u
n
a
r
,
A.
B
o
u
l
k
ro
u
n
e
,
a
n
d
B.
H
e
m
ici
, “
S
li
d
in
g
m
o
d
e
c
o
n
tro
l
v
ia f
u
z
z
y
m
u
lt
i
-
le
v
e
l
sw
it
c
h
in
g
c
o
n
tro
l
sc
h
e
m
e
fo
r
DFIG
b
a
se
d
WE
CS
,
”
in
R
o
ma
n
ia
n
J
o
u
rn
a
l
o
f
In
fo
rm
a
ti
o
n
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
lo
g
y
,
v
o
l
.
2
1
,
n
o
.
4
,
pp
.
429
–
4
4
5
2
1
,
2
0
1
8
.
[2
]
S.
El
Aim
a
n
i,
“
M
o
d
e
li
n
g
o
f
v
a
rio
u
s
win
d
t
u
rb
i
n
e
tec
h
n
o
lo
g
ies
i
n
te
g
ra
ted
i
n
m
e
d
iu
m
v
o
lt
a
g
e
n
e
tw
o
r
k
s
(in
F
re
n
c
h
)
,
”
T
h
e
sis,
l'
u
n
i
v
e
rsité l
il
le
1
-
sc
ien
c
e
s e
t
tec
h
n
o
l
o
g
ies
.
2
0
0
4
.
[3
]
H.
El
F
a
d
il
,
a
n
d
F
.
G
iri
,
“
Ba
c
k
ste
p
p
in
g
b
a
se
d
c
o
n
tr
o
l
o
f
p
wm
DC
-
DC
b
o
o
st
p
o
we
r
c
o
n
v
e
rter
s
,”
2
0
0
7
IEE
E
In
ter
n
a
t
io
n
a
l
S
y
mp
o
si
u
m o
n
I
n
d
u
stria
l
El
e
c
tro
n
ics
,
2
0
0
7
,
p
p
.
3
9
5
-
400
,
d
o
i:
1
0
.
1
1
0
9
/IS
IE
.
2
0
0
7
.
4
3
7
4
6
3
0
.
[4
]
Y.
M
a
ss
a
o
u
d
i,
D.
El
leu
c
h
,
D.
M
e
h
d
i,
T.
Da
m
a
k
a
n
d
G
.
Ha
sh
im,
“
Co
m
p
a
riso
n
b
e
twe
e
n
n
o
n
li
n
e
a
r
c
o
n
tro
l
lers
a
p
p
li
e
d
t
o
a
DC
-
DC
b
o
o
st co
n
v
e
r
ter
,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
I
n
n
o
v
a
ti
v
e
Co
mp
u
ti
n
g
,
I
n
f
o
rm
a
ti
o
n
a
n
d
Co
n
tro
l
v
o
l
.
1
1
,
n
o
.
3
,
p
p
.
9
3
5
–
9
4
7
,
2
0
1
5
.
[5
]
Y.
M
a
ss
a
o
u
d
i,
D.
El
leu
c
h
,
J.
G
a
u
b
e
rt,
a
n
d
T
.
Da
m
a
k
,
“
A
n
e
w
b
a
c
k
ste
p
p
i
n
g
slid
i
n
g
m
o
d
e
c
o
n
tr
o
ll
e
r
a
p
p
li
e
d
t
o
a
DC
-
DC
b
o
o
st
c
o
n
v
e
rter,”
In
t
e
rn
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
st
e
ms
(IJ
PE
DS
)
,
v
o
l.
7
,
n
o
.
3
,
p
p
.
7
5
9
–
7
6
8
,
2
0
1
6
,
d
o
i:
1
0
.
1
1
5
9
1
/
ij
p
e
d
s
.
v
7
.
i3
.
p
p
7
5
9
-
768
.
[6
]
S
.
Ve
rm
a
,
S
.
K
S
in
g
h
,
a
n
d
A.
G
.
Ra
o
,
“
Ov
e
rv
iew
o
f
c
o
n
tr
o
l
tec
h
n
i
q
u
e
s
fo
r
DC
-
DC
c
o
n
v
e
rters
,”
Res
e
a
rc
h
J
o
u
rn
a
l
o
f
E
n
g
i
n
e
e
rin
g
S
c
ien
c
e
s
,
v
o
l.
2
,
n
o
.
8
,
p
p
.
18
–
21
,
2
0
1
3
.
[7
]
F
.
Ha
rir
c
h
i,
A.
Ra
h
m
a
ti
,
a
n
d
A.
Ab
rish
a
m
ifar,
“
Bo
o
st
P
F
C
c
o
n
v
e
rters
with
i
n
teg
ra
l
a
n
d
d
o
u
b
le
in
teg
ra
l
sli
d
i
n
g
m
o
d
e
c
o
n
tr
o
l
,”
1
9
th
Ir
a
n
i
a
n
C
o
n
f
e
re
n
c
e
o
n
El
e
c
trica
l
E
n
g
i
n
e
e
rin
g
(ICEE
)
,
2
0
1
1
,
p
p
.
1
–
6
.
[8
]
D.
El
leu
c
h
,
a
n
d
T.
Da
m
a
k
,
“
Ba
c
k
ste
p
p
i
n
g
slid
i
n
g
m
o
d
e
c
o
n
tr
o
ll
e
r
c
o
u
p
led
t
o
a
d
a
p
ti
v
e
sl
id
i
n
g
m
o
d
e
o
b
se
rv
e
r
fo
r
in
terc
o
n
n
e
c
ted
fra
c
ti
o
n
a
l
n
o
n
li
n
e
a
r
sy
ste
m
,”
In
ter
n
a
t
io
n
a
l
J
o
u
r
n
a
l
o
f
M
e
c
h
a
n
ica
l
a
n
d
M
e
c
h
a
tro
n
i
c
s
En
g
i
n
e
e
rin
g
,
v
o
l.
7
,
n
o
.
3
,
p
p
.
3
7
2
-
3
7
8
,
2
0
1
3
,
d
o
i:
1
0
.
5
2
8
1
/ze
n
o
d
o
.
1
0
5
7
0
6
5
.
[9
]
S
.
S
u
t
h
a
,
P
.
Lak
sh
m
i,
S
.
S
a
n
k
a
ra
n
a
ra
y
a
n
a
n
,
a
n
d
H
.
A.
S
h
a
b
e
e
r,
“
I
m
p
ro
v
e
d
ro
b
u
st
n
e
ss
a
n
d
f
in
it
e
ti
m
e
c
o
n
v
e
rg
e
n
c
e
fo
r
a
m
u
lt
iv
a
riab
le
p
ro
c
e
ss
u
sin
g
in
teg
ra
l
term
in
a
l
slid
in
g
m
o
d
e
c
o
n
tr
o
ll
e
r
v
ia
m
u
lt
i
-
lev
e
l
sw
it
c
h
i
n
g
,
”
J
o
u
rn
a
l
o
f
S
c
ien
ti
fi
c
a
n
d
In
d
u
stri
a
l
Res
e
a
rc
h
,
v
o
l.
7
4
,
n
o
.
8
,
p
p
.
4
4
4
–
4
4
9
,
2
0
1
5
.
[1
0
]
O.
Bo
u
g
h
a
z
i,
A.
Bo
u
m
e
d
ien
n
e
,
a
n
d
H.
G
lao
u
i
,
“
S
li
d
in
g
m
o
d
e
b
a
c
k
ste
p
p
i
n
g
c
o
n
tr
o
l
o
f
i
n
d
u
c
t
io
n
m
o
t
o
r,
”
i
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
m
(IJ
PE
DS
)
,
v
o
l.
4
,
n
o
.
4
,
p
p
.
4
8
1
-
4
8
8
,
2
0
1
4
,
d
o
i:
1
0
.
1
1
5
9
1
/i
jp
e
d
s.
v
4
.
i4
.
p
p
4
8
1
-
4
8
8
.
[1
1
]
G
.
Ab
a
d
,
J.
L
ó
p
e
z
,
M
.
R
o
d
r
íg
u
e
z
,
L.
M
a
rr
o
y
o
,
a
n
d
G
.
Iwa
n
sk
i
,
Do
u
b
ly
Fed
In
d
u
c
ti
o
n
M
a
c
h
i
n
e
M
o
d
e
li
n
g
a
n
d
Co
n
tro
l
f
o
r
W
in
d
En
e
rg
y
Ge
n
e
ra
t
io
n
,
Wi
ley
-
I
EE
E
P
re
ss
,
2
0
1
1
.
[1
2
]
M
.
L
o
u
c
if
,
A.
B
o
u
m
e
d
ien
e
,
a
n
d
A.
M
e
c
h
e
rn
e
n
e
,
“
Ba
c
k
ste
p
p
in
g
c
o
n
tr
o
l
o
f
d
o
u
b
le
fe
d
i
n
d
u
c
ti
o
n
g
e
n
e
ra
to
r
d
ri
v
e
n
b
y
win
d
t
u
rb
i
n
e
,
”
3
rd
In
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
o
n
S
y
ste
ms
a
n
d
Co
n
tro
l
,
2
0
1
3
,
p
p
.
1
5
3
-
1
5
8
,
d
o
i
:
1
0
.
1
1
0
9
/IC
o
S
C.
2
0
1
3
.
6
7
5
0
8
5
1
.
[1
3
]
B.
Ou
a
m
ri
,
a
n
d
Z.
F.
Ah
m
e
d
,
“C
o
m
p
a
ra
ti
v
e
a
n
a
ly
sis
o
f
ro
b
u
st
c
o
n
tro
ll
e
r
b
a
se
d
o
n
c
las
sic
a
l
p
ro
p
o
r
ti
o
n
a
l
-
a
p
p
ro
a
c
h
fo
r
p
o
we
r
c
o
n
tro
l
o
f
win
d
e
n
e
rg
y
sy
ste
m
,
”
in
Rev
.
Ro
u
m.
S
c
i.
T
e
c
h
n
.
–
Él
e
c
tro
tec
h
n
.
e
t
É
n
e
rg
.
,
v
o
l.
6
3
,
n
o
.
2
,
p
p
.
210
–
2
1
6
,
Bu
c
a
re
st,
2
0
1
8
.
[1
4
]
J.J.E
.
S
l
o
ti
n
e
,
a
n
d
W.
Li,
A
p
p
li
e
d
n
o
n
li
n
e
a
r c
o
n
tr
o
l
,
P
re
n
ti
c
e
-
Ha
ll
,
In
c
.
,
USA,
1
9
9
8
.
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
.
4
,
Dec
em
b
er
2
0
2
1
:
24
43
–
24
50
2450
[1
5
]
S
.
M
u
l
ler,
M
.
De
ick
e
,
a
n
d
R.
W.
De
Do
n
c
k
e
r,
“
Do
u
b
ly
fe
d
i
n
d
u
c
t
io
n
g
e
n
e
ra
to
r
sy
ste
m
s
fo
r
win
d
t
u
rb
i
n
e
s
,
”
IEE
E
In
d
u
stry
Ap
p
li
c
a
ti
o
n
s
M
a
g
a
zi
n
e
,
v
o
l.
8
,
n
o
.
3
,
p
p
.
2
6
–
3
3
,
2
0
0
2
,
d
o
i
:
1
0
.
1
1
0
9
/2
9
4
3
.
9
9
9
6
1
0
.
[1
6
]
V.
I.
Utk
i
n
,
“
S
l
id
i
n
g
m
o
d
e
c
o
n
tro
l
d
e
sig
n
p
r
in
c
ip
les
a
n
d
a
p
p
li
c
a
ti
o
n
s
t
o
e
lec
tri
c
d
ri
v
e
s
,”
IEE
E
T
ra
n
s.
In
d
.
El
e
c
tro
n
ics
,
v
o
l.
4
0
,
n
o
.
1
,
p
p
.
2
3
–
3
6
,
1
9
9
3
,
d
o
i:
1
0
.
1
1
0
9
/
4
1
.
1
8
4
8
1
8
.
[1
7
]
J
.
Hu
,
H
.
Nia
n
,
B
.
H
u
,
Y
.
He
,
a
n
d
Z.
Q.
Zh
u
,
“
Dire
c
t
a
c
ti
v
e
a
n
d
r
e
a
c
ti
v
e
p
o
we
r
re
g
u
latio
n
o
f
D
F
I
G
u
sin
g
slid
i
n
g
-
m
o
d
e
c
o
n
tro
l
a
p
p
ro
a
c
h
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
En
e
rg
y
C
o
n
v
e
rs
io
n
,
v
o
l.
2
5
,
n
o
.
4
,
p
p
.
1
0
2
8
-
1
0
3
9
,
2
0
1
0
,
d
o
i:
1
0
.
1
1
0
9
/
TE
C.
2
0
1
0
.
2
0
4
8
7
5
4
.
[1
8
]
M
.
Itsa
so
M
a
rti
n
e
z
,
A.
S
u
sp
e
rre
g
u
i,
G
.
Tap
ia,
a
n
d
H.
Ca
m
b
lo
n
g
,
“
S
li
d
in
g
-
m
o
d
e
c
o
n
tr
o
l
f
o
r
a
D
F
IG
-
b
a
se
d
win
d
tu
rb
i
n
e
u
n
d
e
r
u
n
b
a
lan
c
e
d
v
o
lt
a
g
e
,
”
Pro
c
e
e
d
in
g
s
o
f
t
h
e
1
8
th
W
o
rld
C
o
n
g
re
ss
th
e
In
ter
n
a
ti
o
n
a
l
Fed
e
ra
ti
o
n
o
f
Au
to
m
a
ti
c
Co
n
tro
l
M
i
la
n
o
(I
ta
ly)
Au
g
u
st 2
8
-
S
e
p
tem
b
e
r
2
,
2
0
1
1
,
d
o
i:
1
0
.
3
1
8
2
/
2
0
1
1
0
8
2
8
-
6
-
IT
-
1
0
0
2
.
0
0
8
5
4
.
[1
9
]
A.
M
.
Ka
ss
e
m
,
K.
M
.
Ha
sa
n
e
e
n
,
a
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.
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f,
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e
n
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ter
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k
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5
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[2
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]
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a
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Co
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.
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]
M.
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a
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.
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sri,
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d
A.
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a
sh
id
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sa
in
,
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o
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o
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o
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s
q
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ro
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h
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o
p
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r
,”
in
I
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ter
n
a
t
io
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a
l
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o
u
rn
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e
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h
a
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&
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e
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s
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g
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M
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,
v
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iri
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h
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a
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d
M
.
F
.
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imo
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n
i,
“
An
a
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o
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li
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e
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ste
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p
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o
n
tr
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l
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f
DFIG
d
riv
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b
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wi
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tu
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,”
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ra
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ti
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vo
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8,
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o
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.
[2
4
]
M
.
Do
u
m
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A.G
.
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o
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A.
T
a
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.
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ir
,
“
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ter
n
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Co
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fer
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5
]
M.
Do
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m
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Aiss
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i
,
A.
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o
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r,
M
.
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id
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Tah
ir,
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win
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m
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b
le
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d
i
n
d
u
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ti
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g
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ra
to
r,
”
Prze
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d
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.
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3
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,
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0
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5
1
9
9
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8
.
2
0
1
6
.
0
3
.
3
2
.
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