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l J
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lect
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nics
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I
J
P
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Vo
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1
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,
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3
,
Sep
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b
er
202
1
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p
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.
16
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4
~
16
58
I
SS
N:
2088
-
8
6
9
4
,
DOI
: 1
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.
1
1
5
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1
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.
v
1
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3
.
pp
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16
58
1644
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so
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ll
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p
a
p
e
r
in
tro
d
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s
a
n
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lec
tri
c
p
o
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g
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e
ra
ti
o
n
sy
ste
m
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b
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se
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l
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tri
c
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l
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o
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t
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two
rk
.
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is
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e
w
c
o
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fro
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n
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e
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rc
e
c
o
n
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e
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il
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h
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p
re
se
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ted
c
o
n
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e
rt
e
r
h
a
s
m
o
re
d
e
g
re
e
s
o
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e
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st
v
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l
t
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g
e
g
a
in
a
n
d
m
o
d
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latio
n
.
Also
,
b
y
li
m
it
i
n
g
th
e
ra
n
g
e
o
f
sim
u
lt
a
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s
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n
t
ro
l
(sh
o
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g
t
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h
)
wh
il
e
it
m
a
i
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tain
s
t
h
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ig
h
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st
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o
we
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o
f
m
a
x
imiz
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a
n
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e
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te
in
h
ig
h
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m
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a
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se
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c
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it
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e
n
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h
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sim
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late
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in
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ATLA
B/S
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o
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lt
s in
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te fu
n
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K
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w
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s
:
PMSG
Po
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g
en
er
atio
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s
y
s
tem
R
en
ewa
b
le
en
er
g
y
W
in
d
en
er
g
y
W
in
d
tu
r
b
in
e
Y
-
s
o
u
r
ce
in
v
er
te
r
Y
-
s
o
u
r
ce
n
etwo
r
k
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
:
Ma
h
m
o
u
d
Z
ad
eh
b
ag
h
e
r
i
Dep
ar
tm
en
t o
f
E
lectr
ical
E
n
g
i
n
ee
r
in
g
I
s
lam
ic
Aza
d
Un
iv
er
s
ity
,
Yaso
o
j Bra
n
ch
,
Yaso
o
j,
I
r
an
E
m
ail: m
za
d
eh
b
a
g
h
er
i@
g
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
Usi
n
g
clea
n
an
d
r
en
ewa
b
le
en
er
g
y
h
a
d
b
ee
n
m
ajo
r
co
n
ce
r
n
f
o
r
g
l
o
b
al
co
m
m
u
n
ities
an
d
b
ee
n
in
tr
o
d
u
ce
d
as
an
im
p
o
r
ta
n
t
an
d
v
ital
m
atter
.
E
n
v
ir
o
n
m
en
t
al
f
ac
to
r
s
s
u
ch
as
air
p
o
llu
tio
n
an
d
in
cr
ea
s
e
in
g
lo
b
al
war
m
in
g
b
y
u
s
in
g
p
o
ll
u
tin
g
f
u
els
ar
e
th
e
m
o
s
t
im
p
o
r
tan
t
r
ea
s
o
n
s
o
f
u
s
in
g
r
en
ewa
b
l
e
an
d
clea
n
en
er
g
y
.
An
o
th
er
ad
v
an
tag
e
o
f
u
s
in
g
r
en
ewa
b
le
en
er
g
y
s
o
u
r
ce
s
is
m
in
im
izin
g
th
e
s
ize
o
f
p
o
wer
p
r
o
d
u
ctio
n
u
n
its
an
d
in
cr
ea
s
in
g
th
e
d
is
tr
ib
u
ted
g
e
n
er
atio
n
u
n
its
,
th
e
p
r
o
x
im
ity
o
f
t
h
e
u
n
its
o
f
p
r
o
d
u
ctio
n
a
n
d
co
n
s
u
m
p
tio
n
o
f
elec
tr
ic
p
o
wer
an
d
th
u
s
r
ed
u
ce
lo
s
s
es
an
d
in
cr
ea
s
e
ef
f
icien
cy
[
1
]
–
[
2
2
]
.
On
e
o
f
th
e
h
ig
h
ly
u
s
ed
r
en
ewa
b
le
en
er
g
y
th
at
h
ad
b
ee
n
in
co
n
s
id
er
ati
o
n
is
win
d
en
er
g
y
[
1
]
,
[
4
]
,
[
1
4
]
,
[
1
6
]
,
[
1
9
]
,
[
2
0
]
,
[
2
3
]
,
[
2
4
]
.
Usi
n
g
win
d
en
er
g
y
s
p
ec
ially
in
win
d
y
ar
e
as
in
ad
d
itio
n
to
th
e
ec
o
n
o
m
ic
s
av
in
g
,
in
cr
ea
s
ed
q
u
ality
wi
ll
also
b
e
d
eliv
er
ed
.
E
lectr
ic
p
o
wer
g
e
n
er
atio
n
s
y
s
tem
f
r
o
m
win
d
en
e
r
g
y
h
as
b
ee
n
d
iv
id
e
d
in
to
4
p
ar
ts
:
i)
win
d
tu
r
b
in
e,
ii)
elec
tr
ic
g
en
er
ato
r
s
,
iii)
p
o
wer
elec
tr
ic
d
ev
ices,
an
d
iv
)
co
n
t
r
o
llin
g
s
y
s
tem
s
.
W
h
ich
b
y
in
cr
ea
s
e
in
th
is
in
d
u
s
tr
y
an
d
tech
n
o
lo
g
y
th
er
e
h
as
b
ee
n
m
u
ch
p
r
o
g
r
ess
in
th
ese
s
ec
tio
n
s
an
d
p
o
wer
elec
tr
ic
d
ev
ices,
d
if
f
er
en
t
g
e
n
er
ato
r
s
an
d
co
n
tr
o
l
s
y
s
tem
s
h
ad
b
ee
n
p
r
esen
ted
[
2
5
]
.
Fo
r
e
x
am
p
l
e,
with
p
r
o
g
r
ess
in
m
ater
ials
s
cien
ce
an
d
f
u
r
th
e
r
s
h
o
win
g
o
f
f
th
e
p
er
m
an
en
t
m
ag
n
et
m
ac
h
i
n
es,
u
s
in
g
win
d
e
n
er
g
y
in
d
if
f
er
en
t
s
p
ee
d
with
o
u
t
g
ea
r
b
o
x
is
h
i
g
h
ly
r
eg
ar
d
e
d
.
T
h
u
s
,
s
tu
d
y
o
f
th
e
elec
tr
ical
p
o
wer
g
e
n
er
ato
r
s
y
s
tem
s
f
r
o
m
win
d
en
er
g
y
b
a
s
ed
o
n
s
tim
u
latin
g
co
n
v
er
ter
s
with
p
e
r
m
an
e
n
t m
a
g
n
et
is
ess
en
tial f
r
o
m
d
if
f
e
r
en
t
p
o
in
ts
o
f
v
iew.
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
Usi
n
g
Y
-
s
o
u
r
ce
n
etw
o
r
k
a
s
a
co
n
n
ec
to
r
b
etw
ee
n
tu
r
b
in
e
a
n
d
n
etw
o
r
k
in
th
e
…
(
Ma
h
mo
u
d
Za
d
eh
b
a
g
h
eri
)
1645
I
n
th
e
f
ield
o
f
p
o
wer
elec
tr
o
n
ic
d
e
v
ices,
th
er
e
h
a
d
b
ee
n
m
o
r
e
d
if
f
er
e
n
t
s
u
g
g
esti
o
n
s
w
ith
u
n
i
q
u
e
f
ea
tu
r
es
p
r
esen
ted
wh
ich
th
e
m
o
s
t
im
p
o
r
tan
t
o
n
e
is
u
s
in
g
o
n
e
b
o
o
s
t
co
n
v
er
ter
an
d
s
o
u
r
ce
v
o
ltag
e
in
v
er
ter
.
E
lect
r
ic
p
o
wer
g
en
e
r
atio
n
s
y
s
tem
s
f
r
o
m
win
d
e
n
er
g
y
with
d
i
f
f
er
en
t
s
p
ee
d
h
as
m
an
y
p
o
s
itiv
e
f
ea
tu
r
es
s
u
ch
as:
s
m
all
s
ize,
h
ig
h
ef
f
icien
cy
,
l
o
wer
in
s
tallatio
n
co
s
t a
n
d
lo
wer
m
ain
ten
an
ce
co
s
t,
c
o
m
p
ar
e
t
o
s
y
s
tem
s
with
f
ix
ed
s
p
ee
d
.
C
o
n
s
id
er
in
g
p
er
m
a
n
e
n
t
m
ag
n
et
g
en
er
a
to
r
s
(
PMGs)
th
at
ca
n
c
o
n
n
ec
t
t
o
th
e
n
e
two
r
k
d
ir
ec
tly
an
d
with
o
u
t
u
s
in
g
g
ea
r
b
o
x
,
h
as
at
tr
ac
ted
m
o
r
e
atten
tio
n
[
2
6
]
–
[
3
1
]
.
Hen
ce
,
th
e
p
u
r
p
o
s
e
o
f
th
is
p
ap
er
co
n
s
id
er
in
g
th
e
im
p
o
r
tan
ce
o
f
th
e
p
o
wer
e
lectr
ic
d
ev
ices
in
d
eliv
e
r
in
g
el
ec
tr
ic
p
o
wer
to
th
e
n
etwo
r
k
(
co
n
n
ec
to
r
b
etwe
en
win
d
tu
r
b
in
e
an
d
th
e
n
etwo
r
k
)
,
is
to
s
u
g
g
est
u
s
in
g
Y
-
s
o
u
r
c
e
n
etwo
r
k
i
n
v
ar
ia
b
le
s
p
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d
w
in
d
tu
r
b
i
n
e
s
y
s
tem
s
b
ased
o
n
p
er
m
an
en
t
m
a
g
n
et
m
ac
h
in
es
as
elec
tr
o
n
ic
co
n
v
er
te
r
.
Ma
i
n
ly
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
s
o
n
ly
ca
n
s
h
o
w
b
u
ck
p
er
f
o
r
m
an
ce
(
r
ed
u
cin
g
)
as
a
r
esu
lt,
th
e
AC
o
u
tp
u
t
v
o
l
tag
e
will
b
e
lim
ited
b
y
DC
v
o
ltag
e
s
o
u
r
ce
.
Als
o
,
in
r
en
ewa
b
le
en
er
g
y
ap
p
licati
o
n
s
in
p
u
t
DC
v
o
ltag
e
f
lu
ctu
at
es
in
a
wid
e
r
an
g
e
an
d
s
o
th
er
e
is
n
ee
d
f
o
r
b
u
ck
-
b
o
o
s
t
f
u
n
ctio
n
.
T
o
o
v
er
c
o
m
e
th
is
p
r
o
b
lem
,
f
ir
s
tly
we
u
s
e
DC
/
DC
co
n
v
er
ter
wh
ich
it
is
p
lace
d
b
etwe
en
th
e
s
o
u
r
ce
an
d
in
v
e
r
ter
.
B
y
ad
d
in
g
a
DC
/
DC
co
n
v
er
ter
th
e
s
tr
u
ctu
r
e
will
h
av
e
two
s
tag
es.
I
n
two
s
tag
es
s
tr
u
ctu
r
e
d
u
e
to
th
e
lack
o
f
o
p
tim
u
m
c
o
m
b
in
atio
n
,
e
f
f
icien
cy
o
f
th
e
s
y
s
tem
an
d
its
p
er
f
o
r
m
an
ce
wil
l
ex
tr
em
ely
r
ed
u
ce
.
T
o
f
ix
th
ese
p
r
o
b
lem
s
,
im
p
e
d
an
ce
s
o
u
r
ce
in
v
er
ter
h
a
d
b
ee
n
in
tr
o
d
u
ce
d
,
wh
ile
th
ey
a
r
e
s
in
g
le
-
s
tag
e
d
u
e
to
th
e
r
em
o
v
al
d
ea
d
tim
e
s
o
lv
i
n
g
th
e
DC
b
ass
s
h
o
r
t
co
n
n
ec
tio
n
p
r
o
b
lem
,
th
e
y
h
a
v
e
h
ig
h
r
e
liab
il
ity
.
B
y
in
tr
o
d
u
cin
g
th
ese
co
n
v
er
ter
s
s
tu
d
y
f
ield
o
f
m
an
y
s
u
c
h
as
m
o
d
u
latio
n
,
m
o
d
elin
g
,
c
o
n
tr
o
l
is
p
r
o
v
id
e
d
f
o
r
th
e
c
o
n
v
e
r
ter
s
[
3
2
]
.
Alth
o
u
g
h
b
u
ck
-
b
o
o
s
t
co
n
v
er
ter
to
p
o
lo
g
y
wh
ich
is
u
s
ed
to
co
n
v
er
t
DC
/AC
as
th
eo
r
y
ca
n
b
o
o
s
t
th
e
v
o
ltag
e
to
an
y
d
esire
d
v
al
u
e,
b
u
t
th
e
ab
ilit
y
o
f
th
ese
co
n
v
e
r
ter
s
b
o
o
s
tin
g
will
b
e
lim
ited
b
y
p
ass
iv
e
elem
en
ts
an
d
all
th
e
f
ac
to
r
s
[
3
3
]
.
Sp
ec
ially
in
h
ig
h
d
u
ties
o
f
s
elf
-
c
h
ar
g
in
g
cu
r
r
en
t
ca
u
s
e
m
ass
iv
e
lo
s
s
es
in
p
ass
iv
e
elem
en
ts
an
d
th
is
ca
u
s
e
in
s
ta
b
ilit
y
an
d
lim
itin
g
t
h
e
b
o
o
s
t
o
f
v
o
ltag
e.
I
m
p
e
d
an
ce
n
etwo
r
k
s
co
v
e
r
th
e
en
tire
r
an
g
e
o
f
p
o
wer
elec
tr
o
n
ics,
co
n
v
er
tin
g
c
o
m
p
letely
f
r
o
m
co
n
v
er
ter
an
d
r
ec
tifie
r
to
co
n
v
er
tin
g
p
h
ase
an
d
f
r
eq
u
e
n
cy
.
T
h
er
e
h
a
v
e
b
ee
n
m
an
y
d
if
f
er
en
t
s
tr
u
ctu
r
es
to
s
o
lv
e
lim
itatio
n
s
an
d
p
r
o
b
lem
s
o
f
tr
ad
itio
n
al
s
tr
u
ctu
r
es
o
f
v
o
ltag
e
s
o
u
r
ce
a
n
d
c
u
r
r
en
t
s
o
u
r
ce
f
o
r
im
p
ed
an
ce
n
etwo
r
k
co
n
v
er
ter
s
in
[
4
]
[
3
4
]
–
[
3
7
]
.
Placem
en
t
an
d
p
r
o
p
er
im
p
lem
e
n
tatio
n
o
f
th
e
im
p
ed
an
ce
s
u
p
p
ly
n
etw
o
r
k
with
s
witch
in
g
an
d
th
e
a
p
p
r
o
p
r
iate
s
ettin
g
,
r
ed
u
ce
th
e
p
o
wer
co
n
v
er
tin
g
lev
els
in
p
o
wer
s
y
s
tem
ch
ain
s
.
T
h
is
im
p
r
o
v
es
r
eliab
ilit
y
,
s
tab
ilit
y
an
d
im
p
r
o
v
em
e
n
t
an
d
also
ef
f
ici
en
cy
.
T
h
e
g
en
e
r
al
s
ch
em
e
o
f
im
p
ed
a
n
ce
s
o
u
r
c
e
co
n
v
er
ter
s
s
tr
u
ctu
r
e
with
d
if
f
er
en
t switch
f
o
r
d
if
f
er
en
t a
p
p
licatio
n
s
is
s
h
o
wn
in
Fig
u
r
e
1
[
3
2
]
,
[
3
8
]
.
Fig
u
r
e
1
.
Gen
e
r
al
s
ch
em
e
o
f
i
m
p
ed
an
ce
s
o
u
r
ce
co
n
v
er
ter
s
s
t
r
u
ctu
r
e
with
d
if
f
er
en
t switch
f
o
r
d
if
f
e
r
en
t
ap
p
licatio
n
s
[
3
]
So
f
ar
,
th
er
e
h
as
b
ee
n
m
an
y
i
m
p
ed
an
ce
s
o
u
r
ce
n
etwo
r
k
s
with
th
e
ab
ilit
y
o
f
m
ax
im
izin
g
wh
ich
th
e
m
o
s
t
im
p
o
r
tan
t
o
n
e
is
Z
-
s
o
u
r
c
e
[
3
9
]
–
[
4
6
]
.
Featu
r
es
o
f
th
is
co
n
v
er
ter
let
r
esear
ch
er
s
to
th
in
k
ab
o
u
t
s
o
lv
i
n
g
th
e
p
r
o
b
lem
s
o
f
th
is
s
tr
u
ctu
r
es
a
n
d
p
r
esen
t
s
tr
u
ctu
r
es
lik
e
q
u
a
s
i
-
Z
,
em
b
ed
d
ed
-
Z
,
tap
p
ed
-
i
n
d
u
cto
r
,
T
-
s
o
u
r
ce
,
-
s
o
u
r
ce
im
p
ed
a
n
ce
s
o
u
r
ce
.
Y
-
s
o
u
r
ce
co
n
v
er
ter
h
as
b
ee
n
i
n
tr
o
d
u
ce
d
r
ec
en
tly
an
d
is
u
s
ed
as
DC
/
DC
an
d
AC
/
DC
with
th
r
ee
co
ils
wh
i
ch
h
ad
b
ee
n
co
u
p
led
[
3
4
]
.
T
h
is
co
n
v
er
ter
h
as
m
an
y
d
if
f
e
r
en
t
f
ea
tu
r
es.
T
h
e
in
ter
est
o
f
th
is
co
n
v
er
ter
i
n
eq
u
al
d
u
ties
is
d
if
f
er
en
t
to
o
t
h
er
co
n
v
er
ter
s
an
d
h
as
m
o
r
e
f
r
ee
d
o
m
to
(
th
e
n
u
m
b
e
r
o
f
tu
r
n
s
o
f
co
ils
an
d
s
witch
ti
m
in
g
(
)
)
ad
ju
s
t
th
e
in
ter
est
o
f
v
o
ltag
e
co
m
p
ar
e
to
class
ic
i
m
p
ed
an
ce
s
o
u
r
ce
co
n
v
er
ter
s
[
3
4
]
,
[
4
7
]
.
T
h
eo
r
eti
ca
l
p
o
in
t
o
f
v
iew,
b
y
ad
ju
s
tin
g
th
e
n
u
m
b
er
o
f
tu
r
n
s
in
co
ils
t
o
an
y
v
alu
e,
we
ca
n
s
ee
th
e
in
cr
ea
s
e
in
v
o
ltag
e
[
2
3
]
.
I
n
th
e
f
o
llo
win
g
p
r
o
p
o
s
ed
s
y
s
tem
,
v
ar
iab
le
s
p
ee
d
win
d
tu
r
b
i
n
e
b
ased
o
n
Y
-
s
o
u
r
ce
in
v
er
te
r
h
as b
ee
n
in
v
esti
g
ated
a
n
d
th
e
r
esu
lts
h
av
e
b
ee
n
p
r
o
v
id
e
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
16
4
4
–
16
58
1646
2.
T
H
E
P
RO
P
O
SE
D
WI
N
D
T
URBI
NE
S
YST
E
M
Pro
p
o
s
ed
s
y
s
tem
b
ased
o
n
Y
-
s
o
u
r
ce
in
v
er
ter
an
d
p
er
m
a
n
en
t
m
ag
n
et
s
y
n
ch
r
o
n
o
u
s
g
e
n
er
ato
r
(
PMSG)
s
h
o
wn
in
Fig
u
r
e
2
.
I
n
th
e
f
o
llo
win
g
,
we
will d
is
cu
s
s
d
if
f
er
en
t p
ar
ts
o
f
th
e
p
r
o
p
o
s
ed
s
y
s
tem
.
P
MS
G
Gr
i
d
Y
-
S
ou
r
c
e
I
n
ve
r
te
r
R
e
c
ti
fi
e
r
Fig
u
r
e
2
.
p
r
o
p
o
s
ed
s
y
s
tem
s
ch
em
e
2
.
1
.
M
o
dellin
g
o
f
wind
t
ur
bin
e
T
o
o
b
tain
a
p
r
o
p
er
ex
p
r
ess
io
n
o
f
win
d
en
er
g
y
,
th
is
en
e
r
g
y
m
u
s
t
b
e
m
ea
s
u
r
ed
in
s
o
m
e
way
.
C
alcu
latin
g
th
is
en
er
g
y
with
s
im
p
le
r
u
les
o
f
class
ical
p
h
y
s
ics,
t
h
e
k
in
etic
en
er
g
y
o
f
win
d
will
b
e
ca
lcu
lated
as
(
1
)
.
=
1
2
2
(
1
)
I
n
th
is
eq
u
atio
n
m
is
eq
u
iv
ale
n
t
to
m
ass
o
f
a
v
o
lu
m
e
o
f
air
p
ass
in
g
th
r
o
u
g
h
th
e
tu
r
b
in
e.
I
t
is
as
s
u
m
ed
th
at
th
e
to
tal
v
o
lu
m
e
o
f
win
d
m
o
v
i
n
g
at
th
e
s
am
e
s
p
ee
d
o
f
.
W
in
d
s
p
ee
d
u
n
it
is
m
eter
p
er
s
ec
o
n
d
m
/s
ass
u
m
in
g
co
n
s
tan
t
s
p
ee
d
o
f
v
o
l
u
m
e
o
f
win
d
h
itti
n
g
tu
r
b
in
e
b
lad
es,
an
d
a
p
er
io
d
o
f
tim
e
t.
W
e
ca
n
d
ef
in
e
th
e
m
ass
as
(
2
)
.
=
=
2
(
2
)
wh
ich
ρ
is
air
d
en
s
ity
,
A
th
e
ar
ea
s
wep
t
b
y
th
e
tu
r
b
in
e
b
lad
es
a
n
d
R
is
th
e
r
ad
iu
s
o
f
th
e
tu
r
b
in
e
b
lad
e
.
Su
b
s
titu
tin
g
(
2
)
in
r
elatio
n
(
1
)
to
th
e
k
in
etic
en
e
r
g
y
o
f
th
e
win
d
will b
e
ex
p
r
ess
ed
as (
3
)
.
=
1
3
2
3
(
3
)
Usi
n
g
(
3
)
,
th
e
r
ea
l p
o
we
r
in
w
in
d
p
o
wer
in
ev
e
r
y
m
o
m
en
t o
f
tim
e
will b
e
ca
lcu
lated
as (
4
)
.
=
=
1
2
2
3
(
4
)
T
h
is
(
4
)
s
h
o
ws
th
at
win
d
en
e
r
g
y
is
h
ea
v
ily
d
ep
e
n
d
en
t
o
n
t
h
e
win
d
s
p
ee
d
.
T
h
e
af
f
iliatio
n
with
th
e
cu
b
e
o
f
win
d
s
p
ee
d
is
s
p
ec
if
i
ed
.
So
,
a
s
lig
h
t
ch
an
g
e
i
n
wi
n
d
s
p
ee
d
will
cr
ea
te
s
ig
n
if
ica
n
t
ch
a
n
g
e
i
n
win
d
en
er
g
y
.
Als
o
,
it
is
p
o
s
s
ib
le
to
g
et
m
o
r
e
en
e
r
g
y
f
r
o
m
th
e
win
d
b
y
in
cr
ea
s
in
g
th
e
r
ad
i
u
s
o
f
t
h
e
tu
r
b
in
e
b
lad
es.
Ho
wev
er
,
ca
lcu
lated
p
o
wer
in
(
4
)
is
th
e
p
o
ten
tial
o
f
win
d
p
o
wer
wh
ich
is
b
ee
n
ca
lcu
lated
in
win
d
s
p
ee
d
an
d
R
r
ad
i
u
s
o
f
tu
r
b
i
n
e
b
l
ad
e
.
Fro
m
th
is
am
o
u
n
t,
o
n
l
y
a
p
o
r
tio
n
o
f
th
at
is
co
n
v
er
ted
in
to
m
ec
h
an
ical
en
e
r
g
y
.
T
h
is
p
er
ce
n
tag
e
will
b
e
ca
lcu
lated
as
Alb
er
t
B
etz
d
eter
m
in
ed
in
1
9
1
9
b
y
p
r
esen
tin
g
th
is
m
eth
o
d
[
4
8
]
.
B
ased
o
n
th
is
m
et
h
o
d
,
wh
en
th
e
tu
r
b
in
e
b
la
d
es
ar
e
i
n
win
d
d
ir
ec
tio
n
,
th
e
win
d
s
p
ee
d
r
ed
u
ce
,
as
a
r
esu
lt
r
ec
eiv
e
d
en
e
r
g
y
b
y
tu
r
b
in
e
will
b
e
less
th
an
m
ax
im
u
m
en
er
g
y
in
th
e
win
d
s
p
ee
d
.
T
h
e
r
elatio
n
s
h
ip
b
etwe
en
r
ec
eiv
ed
en
er
g
y
b
y
tu
r
b
in
e,
P
turbine
,
an
d
m
ax
im
u
m
e
n
er
g
y
o
f
win
d
,
P
wind
,
an
d
p
o
wer
f
ac
to
r
o
f
win
d
tu
r
b
i
n
e,
C
p
,
is
as
(
5
)
.
=
(
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
694
Usi
n
g
Y
-
s
o
u
r
ce
n
etw
o
r
k
a
s
a
co
n
n
ec
to
r
b
etw
ee
n
tu
r
b
in
e
a
n
d
n
etw
o
r
k
in
th
e
…
(
Ma
h
mo
u
d
Za
d
eh
b
a
g
h
eri
)
1647
T
h
i
s
r
atio
is
ca
lcu
lated
as [
7
]
:
=
1
(
2
1
−
3
−
4
−
5
)
−
6
1
(
6
)
1
=
1
+
0
/
08
−
0
/
035
1
+
3
(
7
)
=
(
8
)
I
n
(
6
)
,
(
7
)
a
n
d
(
8
)
,
is
th
e
an
g
l
e
o
f
r
o
to
r
b
lad
e
wh
ic
h
is
s
h
o
w
n
in
th
e
Fig
u
r
e
3
.
is
th
e
s
ev
er
ity
r
ate
o
f
s
p
ee
d
o
f
win
d
tu
r
b
in
e
an
d
is
an
g
u
lar
v
elo
city
o
f
th
e
g
e
n
er
ato
r
an
d
win
d
tu
r
b
in
e
.
C
o
n
s
tan
t
v
alu
es
(
c
1
an
d
c
6
)
d
ep
en
d
o
n
ty
p
e
o
f
tu
r
b
in
e
[
4
9
]
.
I
n
th
e
an
g
le
=
0
m
ax
im
u
m
p
o
wer
is
av
ailab
le.
At
th
e
en
d
th
e
e
q
u
atio
n
o
f
tu
r
b
in
e
b
lad
e
is
as (
9
)
.
=
1
2
2
(
,
)
3
(
9
)
T
u
r
b
in
e
m
ec
h
an
ical
to
r
q
u
e,
,
is
o
b
tain
ed
f
r
o
m
(
1
0
)
.
=
1
2
2
(
,
)
3
(
1
0
)
T
h
e
f
o
llo
win
g
will
b
e
th
e
s
im
u
latio
n
o
f
win
d
,
th
e
e
f
f
ec
t
o
f
o
n
C
p
h
as
b
ee
n
i
n
v
esti
g
ated
an
d
r
atio
o
f
h
ig
h
ly
o
p
tim
ized
s
p
ee
d
opt
,
wh
ich
is
p
r
o
d
u
ce
d
b
ec
a
u
s
e
o
f
th
at,
h
ad
b
ee
n
ca
lcu
lated
.
T
o
g
ain
t
h
is
g
o
al
C
1
to
C
6
p
ar
am
eter
s
as
T
ab
le
1
.
T
o
s
i
m
u
late
th
e
win
d
,
in
h
e
r
e
we
h
av
e
u
s
ed
lin
ea
r
f
o
r
m
w
h
ich
is
lik
e
in
cr
ea
s
in
g
an
d
d
ec
r
ea
s
in
g
o
f
g
r
ad
ien
t.
Fig
u
r
e
3
.
T
u
r
b
in
e
b
lad
e’
s
an
g
l
e
d
iag
r
am
.
T
ab
le
1
.
C
1
to
C
6
c
o
n
s
tan
ts
C
1
C
2
C
3
C
4
C
5
C
6
0
/
5
1
1
6
0
/
5
0
5
21
2
.
2
.
M
o
dellin
g
o
f
perm
a
nent
m
a
g
net
s
y
nchro
no
us
g
ener
a
t
o
r
(
P
M
SG
)
T
h
e
d
y
n
am
ic
m
o
d
el
o
f
elec
tr
i
c
m
ac
h
in
es
is
n
ec
ess
ar
y
f
o
r
i
n
v
esti
g
atin
g
th
e
d
y
n
am
ic
c
o
n
d
itio
n
s
an
d
p
o
ten
tial
er
r
o
r
s
.
Dy
n
am
ic
m
o
d
ellin
g
b
ased
is
o
n
v
o
ltag
e
eq
u
atio
n
s
,
f
lo
w,
f
lu
x
-
f
lo
w
an
d
p
ar
k
co
n
v
er
s
io
n
.
I
n
el
ec
tr
ic
m
ac
h
in
es
d
ep
en
d
s
o
n
in
p
u
t
an
d
o
u
tp
u
t
v
ar
iab
les,
d
if
f
er
en
t
m
o
d
els
ca
n
b
e
s
im
u
late
d
.
I
n
h
er
e
b
ased
o
n
th
e
f
u
n
ctio
n
ality
o
f
th
is
g
en
e
r
ato
r
in
co
m
b
in
atio
n
with
win
d
tu
r
b
in
e
an
d
s
elec
ted
c
o
n
tr
o
l
s
y
s
tem
,
th
e
s
p
ee
d
o
f
m
ac
h
in
e
as
e
n
ter
in
g
an
d
th
r
ee
-
p
h
ase
cu
r
r
en
t
o
f
m
ac
h
in
es
as
o
u
tp
u
t
is
co
n
s
id
er
e
d
f
o
r
tu
r
b
i
n
e
-
g
en
e
r
ato
r
.
T
h
u
s
,
th
e
eq
u
atio
n
s
will c
h
an
g
e
as (
1
1
)
,
(
1
2
)
an
d
(
1
3
)
[
5
0
]
,
[
5
1
]
.
=
1
(
−
−
+
)
(
1
1
)
=
1
(
−
−
−
+
)
(
1
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
16
4
4
–
16
58
1648
=
√
2
+
2
(
1
3
)
T
h
e
p
o
wer
d
eliv
er
ed
to
th
e
lo
a
d
ca
n
b
e
ca
lcu
lated
b
y
(
1
4
)
an
d
(
1
5
)
.
=
−
=
−
3
2
(
1
4
)
=
−
=
−
3
2
(
1
5
)
2
.
3
.
Co
ntr
o
l sy
s
t
em
T
h
e
in
v
er
te
r
co
n
t
r
o
l
s
y
s
tem
is
u
s
ed
to
co
n
tr
o
l
ac
tiv
e
p
o
wer
an
d
r
ea
cti
v
e
p
o
wer
in
je
cted
to
th
e
n
etwo
r
k
an
d
m
ax
im
u
m
co
n
tr
o
l
is
s
h
o
wn
in
Fig
u
r
e
4
.
T
h
e
co
n
tr
o
l
s
y
s
tem
h
as
two
p
ar
t
s
:
i)
MPPT,
an
d
ii)
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
wer
c
o
n
t
r
o
l o
f
t
h
e
ex
ch
a
n
g
e
with
th
e
n
etwo
r
k
.
2
.
3
.
1
.
M
P
P
T
co
ntr
o
l sy
s
t
em
T
h
er
e
is
n
ee
d
f
o
r
MPPT
co
n
tr
o
l
f
o
r
ad
j
u
s
tin
g
th
e
s
p
ee
d
o
f
r
o
to
r
to
g
et
th
e
h
ig
h
est
p
o
wer
f
r
o
m
win
d
tu
r
b
in
e
[
5
2
]
–
[
6
1
]
.
B
ec
au
s
e
th
e
o
u
tp
u
t
v
o
ltag
e
is
n
o
t
co
n
s
tan
t
an
d
it
b
ec
o
m
e
s
h
o
r
t
-
cir
cu
it
b
ec
au
s
e
o
f
th
e
s
witch
es so
m
etim
es,
f
o
r
co
n
tr
o
llin
g
s
ig
n
al
we
u
s
e
ca
p
ac
ito
r
v
o
ltag
e
wh
ich
is
co
n
s
tan
t.
Fig
u
r
e
4
.
T
h
e
co
n
tr
o
l sy
s
tem
c
o
n
s
id
er
ed
f
o
r
th
e
p
r
o
p
o
s
ed
wi
n
d
tu
r
b
in
e
s
y
s
tem
T
h
e
eq
u
atio
n
(
1
6
)
s
h
o
ws th
e
r
elatio
n
s
h
ip
b
etwe
en
ca
p
ac
ito
r
(
C
2
)
an
d
o
u
t
p
u
t v
o
ltag
e
[
5
1
]
,
[
6
2
]
,
[
6
3
]
.
2
=
(
1
−
)
(
1
6
)
An
d
ac
co
r
d
in
g
to
th
e
e
q
u
atio
n
=
1
1
−
(
1
+
1
+
21
/
1
−
32
)
=
an
d
p
lace
m
en
t
i
n
th
e
ab
o
v
e
eq
u
atio
n
,
th
e
r
elatio
n
b
etwe
en
th
e
ca
p
ac
ito
r
v
o
ltag
e
C
2
an
d
th
e
in
p
u
t v
o
lta
g
e
is
as (
1
7
)
.
2
=
(
1
−
)
1
1
−
(
1
+
1
+
21
/
1
−
32
)
2
=
(
1
−
)
1
1
−
(
1
7
)
T
h
u
s
,
th
e
s
ig
n
al
co
n
tr
o
ller
ac
c
o
r
d
in
g
to
th
e
n
u
m
b
e
r
o
f
co
u
r
s
es in
ten
d
ed
f
o
r
th
e
win
d
in
g
s
is
ca
lcu
lated
as (
1
8
)
.
=
−
2
−
2
(
1
8
)
2
.
3
.
2
.
Co
ntr
o
l o
f
a
ct
iv
e
a
nd
re
a
ct
iv
e
po
wer
deliv
er
ed
t
o
t
he
net
wo
rk
Activ
e
p
o
wer
(
P)
a
n
d
r
ea
ctiv
e
p
o
wer
(
Q)
o
b
tain
ed
f
r
o
m
(
1
9
)
an
d
(
2
0
)
.
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
Usi
n
g
Y
-
s
o
u
r
ce
n
etw
o
r
k
a
s
a
co
n
n
ec
to
r
b
etw
ee
n
tu
r
b
in
e
a
n
d
n
etw
o
r
k
in
th
e
…
(
Ma
h
mo
u
d
Za
d
eh
b
a
g
h
eri
)
1649
=
3
2
(
+
)
(
1
9
)
=
3
2
(
+
)
(
2
0
)
,
is
n
etwo
r
k
v
o
ltag
e,
,
in
jecte
d
cu
r
r
e
n
t
to
th
e
n
etwo
r
k
in
th
e
f
r
am
e
o
f
r
ef
e
r
en
ce
d
-
q
.
I
f
th
e
r
ef
er
en
ce
v
o
lta
g
e
b
ec
o
m
e
as
n
etwo
r
k
v
o
ltag
e,
th
e
n
v
q
=0
.
T
h
u
s
,
th
e
eq
u
atio
n
s
(
1
9
)
an
d
(
2
0
)
will
ch
an
g
e
to
(
2
1
)
a
n
d
(
2
2
)
[
5
1
]
,
[
6
4
]
–
[
6
7
]
.
=
3
2
(
2
1
)
=
3
2
(
2
2
)
Fro
m
th
e
(
2
1
)
an
d
(
2
2
)
,
we
r
ea
lize
th
at
we
ca
n
co
n
tr
o
l
ac
tiv
e
an
d
r
ea
ctiv
e
in
jecte
d
p
o
w
er
s
to
th
e
n
etwo
r
k
b
y
co
n
tr
o
llin
g
id
an
d
iq
.
T
o
d
o
th
at
th
er
e
ar
e
two
d
i
r
ec
tio
n
s
o
f
co
n
tr
o
l
will
b
e
co
n
s
id
er
ed
.
I
n
th
e
f
ir
s
t
d
ir
ec
tio
n
b
y
ad
d
in
g
th
e
am
o
u
n
t
o
f
r
ef
er
e
n
ce
f
o
r
r
ea
ctiv
e
p
o
wer
,
i
d
will
b
e
ad
ju
s
ted
an
d
th
e
a
m
o
u
n
t
o
f
r
ef
er
en
ce
o
f
id
to
r
ea
c
h
p
o
we
r
f
ac
to
r
th
e
u
n
it
will
b
e
co
n
s
id
er
ed
as
ze
r
o
.
I
n
th
e
n
e
x
t
d
ir
ec
tio
n
b
y
ca
p
ac
ito
r
v
o
ltag
e
in
in
v
er
ter
m
o
d
e
o
r
o
u
tp
u
t
v
o
ltag
e
in
c
o
n
v
e
r
ter
m
o
d
e
f
o
r
c
o
n
tr
o
llin
g
th
e
o
u
tp
u
t
a
ctiv
e
p
o
wer
,
iq
will
b
e
ad
ju
s
ted
[
6
2
]
,
[
6
6
]
,
[
6
8
]
.
3.
M
E
T
H
O
D
I
n
th
is
s
ec
tio
n
,
to
in
v
esti
g
ate
win
d
tu
r
b
in
e
s
y
s
tem
s
th
er
e
is
an
o
p
in
io
n
b
ased
o
n
Y
-
s
o
u
r
c
e
in
v
er
ter
,
th
e
s
y
s
tem
s
im
u
lated
is
s
h
o
wn
.
W
e
u
s
ed
MA
T
L
AB
/Si
m
u
lin
k
f
o
r
s
im
u
latio
n
as
Fig
u
r
e
5
.
Simu
latio
n
p
ar
am
eter
s
ar
e
s
h
o
wn
in
T
ab
l
es
2
an
d
3
.
Vo
ltag
e
cu
r
v
e
DC
b
ase
d
o
n
r
o
to
r
s
p
ee
d
is
s
h
o
wn
in
Fig
u
r
e
6
.
W
e
u
s
e
th
is
cu
r
v
e
to
f
in
d
h
ig
h
est
p
o
in
t
o
f
p
o
wer
an
d
co
n
tr
o
l
in
v
er
ter
.
T
o
f
in
d
th
is
cu
r
v
e
f
ir
s
t
ly
in
a
f
ew
d
if
f
er
e
n
t
s
p
ee
d
(
0
.
6
-
1
.
2
6
p
.
u
)
r
o
to
r
an
d
in
h
ig
h
est
p
o
wer
d
eliv
er
e
d
to
th
e
n
etwo
r
k
,
th
e
s
p
ee
d
o
f
r
o
to
r
an
d
DC
lin
k
v
o
ltag
e
h
as
b
ee
n
m
ea
s
u
r
ed
w
h
ich
is
s
h
o
wn
in
r
ed
in
th
e
f
ig
u
r
e.
T
h
en
a
p
o
ly
n
o
m
ial
f
u
n
ctio
n
is
g
u
ess
ed
b
ased
o
n
th
at
wh
ich
s
h
o
ws
DC
lin
k
v
o
ltag
e
b
e
h
av
io
r
ch
an
g
e
wit
h
r
esp
ec
t
to
r
o
to
r
s
p
ee
d
ch
a
n
g
es
in
all
th
e
s
p
ee
d
s
with
a
v
er
y
g
o
o
d
a
p
p
r
o
x
im
atio
n
an
d
l
o
w
er
r
o
r
.
Fo
r
co
m
p
ar
is
o
n
th
e
im
p
r
o
v
ed
Y
-
So
u
r
ce
co
n
v
er
ter
h
as
b
ee
n
s
im
u
lated
.
T
h
e
s
im
u
lated
cir
c
u
it is
s
h
o
wn
in
Fig
u
r
e
7
.
Fig
u
r
e
5
.
Simu
lated
m
o
d
el
in
MA
T
L
AB
/S
im
u
lin
k
T
ab
le
2
.
PM
Gen
er
ato
r
Par
am
eter
s
A
mo
u
n
t
s
P
a
r
a
me
t
e
r
s
0
.
9
5
8
5
(
Ω
)
R
5
.
2
5
(
mH
)
L
d
,
L
q
4
P
6
3
2
9
(
k
g
.
c
m
2
)
J
T
ab
le
3
.
Simu
latio
n
Par
a
m
eter
s
A
mo
u
n
t
s
P
a
r
a
me
t
e
r
s
1
0
(
k
H
z
)
S
w
i
t
c
h
i
n
g
F
r
e
q
u
e
n
c
y
(
F
s
)
7
6
(
v
)
)
N
e
t
w
o
r
k
Ef
f
e
c
t
i
v
e
V
o
l
t
a
g
e
0
.
5
(
mH
)
F
i
l
t
e
r
C
a
p
a
c
i
t
o
r
(
C
)
2
0
:
4
1
:
2
0
C
o
n
v
e
r
si
o
n
R
a
t
i
o
(
N
1
:N
2
:N
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
Po
w
E
lec
&
Dr
i
Sy
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
16
4
4
–
16
58
1650
Fig
u
r
e
6
.
DC
lin
k
v
o
ltag
e
ch
a
n
g
es c
u
r
v
e
b
ased
o
n
ch
an
g
es in
r
o
to
r
s
p
ee
d
Fig
u
r
e
7
.
Simu
lated
c
o
n
v
e
r
ter
in
MA
T
L
AB
/S
im
u
lin
k
s
o
f
twar
e
4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
W
in
d
m
o
d
el
ap
p
lied
to
th
e
s
y
s
tem
b
ased
o
n
Fig
u
r
e
4
wh
ich
th
e
s
p
ee
d
r
ed
u
ce
s
f
r
o
m
1
2
to
1
0
m
/s
.
I
n
Fig
u
r
e
8
,
ch
a
n
g
es
in
th
e
s
p
ee
d
o
f
r
o
t
o
r
b
y
ch
an
g
in
g
win
d
s
p
ee
d
is
s
h
o
wn
in
d
if
f
e
r
en
t
ti
m
e.
C
o
n
s
id
er
in
g
th
e
cu
r
v
e
o
f
th
e
ch
a
n
g
es
in
r
o
to
r
s
p
ee
d
an
d
ch
an
g
es
in
w
in
d
s
p
e
ed
cu
r
v
e
,
it
is
o
b
v
io
u
s
th
at
th
e
s
p
ee
d
o
f
r
o
to
r
h
as
ch
an
g
ed
f
o
r
d
eliv
er
in
g
th
e
h
i
g
h
est
p
o
wer
f
r
o
m
tu
r
b
in
e
with
th
e
ch
an
g
e
o
f
th
e
s
p
ee
d
o
f
win
d
.
T
o
k
n
o
w
th
ese
ch
an
g
es,
we
n
ee
d
to
lo
o
k
at
Fig
u
r
es
9
an
d
1
0
,
wh
ich
in
o
r
d
e
r
th
ey
s
h
o
w
m
ec
h
a
n
ical
an
d
el
ec
t
r
ical
cu
r
v
e
.
I
t
is
s
h
o
wn
th
at
a
f
ter
a
s
h
o
r
t
p
er
io
d
o
f
tim
e
th
e
m
ec
h
a
n
ical
p
o
wer
cu
r
v
e
o
f
tu
r
b
in
e
p
r
o
d
u
cti
o
n
h
as
r
ea
ch
ed
th
e
h
ig
h
est
p
o
wer
a
n
d
f
o
llo
wed
it
(
b
ased
o
n
win
d
s
p
ee
d
)
.
DC
lin
k
v
o
ltag
e
i
n
v
er
ter
an
d
i
ts
b
ig
s
ch
em
e
is
in
Fig
u
r
e
1
1
.
As
it
ca
n
b
e
u
n
d
e
r
s
to
o
d
f
r
o
m
Fig
u
r
e
1
1
,
v
o
ltag
e
lev
el
ch
an
g
es
f
r
o
m
m
ax
im
u
m
to
ze
r
o
an
d
v
ice
v
er
s
a,
th
e
r
ea
s
o
n
o
f
t
h
ese
ch
a
n
g
es
ar
e
s
h
o
r
t
cir
c
u
its
in
th
e
in
v
er
ter
b
ases
in
tr
an
s
itio
n
at
t
h
e
s
am
e
tim
e.
T
h
u
s
,
in
th
is
s
itu
atio
n
,
we
u
s
e
Y
-
s
o
u
r
ce
c
o
n
v
er
te
r
ca
p
ac
ito
r
v
o
ltag
e
to
c
o
n
t
r
o
l
MPPT
an
d
co
n
tr
o
l
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
we
r
wh
ich
in
jecte
d
to
th
e
n
etwo
r
k
.
I
n
v
e
r
ter
ca
p
a
cito
r
(
C
1
,
C
2
)
v
o
ltag
es
is
s
h
o
wn
in
Fig
u
r
e
1
2
a
n
d
Fig
u
r
e
1
3
.
Fig
u
r
e
8
.
R
o
to
r
s
p
ee
d
(
p
.
u
)
ac
co
r
d
in
g
to
v
a
r
iatio
n
s
in
win
d
s
p
ee
d
.
Fig
u
r
e
9
.
C
u
r
v
e
o
f
t
u
r
b
in
e
m
e
ch
an
ical
p
o
wer
Fig
u
r
e
1
0
.
Activ
e
an
d
r
ea
ctiv
e
p
o
wer
wh
ich
is
d
eliv
er
ed
to
th
e
n
etwo
r
k
u
n
d
er
ch
a
n
g
es o
f
win
d
s
p
ee
d
.
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
0
.
5
1
1
.
5
2
2
.
5
3
3
.
5
4
Ti
m
e
(s
eco
nds
)
R
o
to
r
Speed
(P
u)
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
-1
-0
.
5
0
0
.
5
1
1
.
5
Ex
tera
cted
M
echa
ni
ca
l
P
o
w
er
M
a
x
i
m
um
m
echa
ni
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l
P
o
w
er
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
500
1000
1500
Ti
m
e
(s
eco
nd)
A
cti
v
e
a
nd
R
ea
cti
v
e
P
o
w
er
A
ctv
e
P
o
w
er
R
ea
cti
v
e
P
o
w
er
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
694
Usi
n
g
Y
-
s
o
u
r
ce
n
etw
o
r
k
a
s
a
co
n
n
ec
to
r
b
etw
ee
n
tu
r
b
in
e
a
n
d
n
etw
o
r
k
in
th
e
…
(
Ma
h
mo
u
d
Za
d
eh
b
a
g
h
eri
)
1651
(
a)
(
b
)
Fig
u
r
e
1
1
.
DC
lin
k
v
o
ltag
e
i
n
v
er
ter
,
(
a)
I
n
v
e
r
ter
DC
lin
k
v
o
lt
ag
e,
(
b
)
I
n
v
er
ter
DC
lin
k
v
o
ltag
e
in
m
ag
n
if
ied
m
o
d
e
u
n
d
er
c
h
an
g
es
o
f
win
d
s
p
ee
d
Fig
u
r
e
1
2
.
C
ap
ac
ito
r
v
o
ltag
e
(
C
2
)
u
n
d
er
ch
an
g
es o
f
win
d
s
p
ee
d
Fig
u
r
e
1
3
.
C
ap
ac
ito
r
v
o
ltag
e
c
u
r
v
e
(
C
1
)
u
n
d
er
ch
an
g
es o
f
win
d
s
p
ee
d
.
I
n
jectio
n
c
u
r
r
e
n
t
to
th
e
n
etwo
r
k
is
s
h
o
wn
in
Fig
u
r
e
1
4
.
I
n
o
r
d
er
to
o
b
tain
th
e
s
y
s
tem
ef
f
ici
en
cy
(
η
)
at
d
if
f
er
en
t
win
d
s
p
ee
d
s
,
we
will
f
ir
s
t
o
b
tain
th
e
tr
an
s
m
is
s
io
n
p
o
wer
to
th
e
n
etwo
r
k
an
d
th
e
m
ax
im
u
m
m
ec
h
an
ical
p
o
wer
at
d
if
f
er
en
t
s
p
ee
d
s
,
a
n
d
t
h
en
f
r
o
m
th
e
r
el
atio
n
o
f
η
%=
g
r
id
m
a
x
-
m
e
c
×
100
,
we
will
o
b
tain
th
e
s
y
s
tem
ef
f
i
cien
cy
.
T
h
e
p
o
wer
d
eliv
er
ed
to
t
h
e
n
etwo
r
k
at
win
d
d
if
f
er
e
n
t
s
p
ee
d
s
an
d
th
e
ef
f
icien
cy
o
f
th
e
p
r
o
p
o
s
ed
s
y
s
tem
ar
e
s
h
o
wn
in
Fig
u
r
e
1
5
,
a
n
d
Fig
u
r
e
1
6
,
r
esp
ec
tiv
ely
.
I
t is wo
r
th
n
o
tin
g
th
at
th
is
s
y
s
tem
co
u
ld
also
b
e
s
im
u
lated
b
ased
o
n
th
e
Y
-
So
u
r
ce
DC
-
DC
co
n
v
e
r
ter
o
r
th
e
I
m
p
r
o
v
e
d
Y
-
So
u
r
ce
(
DC
/
DC
)
co
n
v
er
ter
,
b
u
t
th
is
h
as
led
to
th
e
u
s
e
o
f
m
o
r
e
s
witch
es
an
d
in
cr
ea
s
e
d
lo
s
s
es,
an
d
T
HD
Als
o
in
cr
ea
s
es
an
d
it
is
n
o
t
ec
o
n
o
m
ically
v
iab
le.
Fig
u
r
e
1
7
an
d
Fig
u
r
e
1
8
s
h
o
w
th
at
th
e
s
y
s
tem
m
et
th
e
r
e
q
u
ir
em
e
n
ts
f
o
r
co
n
n
ec
tin
g
t
o
th
e
n
etwo
r
k
b
ec
au
s
e
th
e
lev
el
o
f
ca
p
ac
ito
r
v
o
ltag
e
is
k
ep
t
in
a
co
n
s
tan
t
lev
el
a
n
d
r
ea
ctiv
e
p
o
wer
ex
c
h
an
g
e
to
th
e
n
etwo
r
k
is
alm
o
s
t z
er
o
(
u
n
ity
p
o
wer
f
ac
t
o
r
)
.
Fig
u
r
e
1
4
.
I
n
jectio
n
cu
r
r
e
n
t to
th
e
n
etwo
r
k
b
y
th
e
p
r
o
p
o
s
ed
s
y
s
tem
Fig
u
r
e
1
5
.
Po
wer
d
eliv
er
e
d
to
th
e
n
etwo
r
k
b
y
th
e
p
r
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3
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4
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5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
50
100
150
200
250
Ti
m
e
(s
eco
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V
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nv
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9
9
8
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9
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9
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4
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9
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9
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9
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9
9
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6
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9
9
9
8
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50
100
150
200
250
Ti
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V
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nv
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)
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.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
50
100
150
200
250
300
Ti
m
e
(s
eco
nds
)
V
c2
(V
)
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
40
50
60
70
80
Ti
m
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(s
eco
nds
)
V
c1
(V
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0
.
2
0
.
3
0
.
4
0
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5
0
.
6
0
.
7
0
.
8
0
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9
1
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0
0
50
Ti
m
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(s
eco
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I
net(A
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P
ha
s
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A
P
ha
s
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B
P
ha
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5
6
7
8
9
10
11
12
13
14
15
0
200
400
600
800
1000
1200
Wi
n
d
S
p
e
e
d
(
m
/
s
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E
l
e
c
t
r
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c
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r
(
w
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
Po
w
E
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&
Dr
i
Sy
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
2
0
2
1
:
16
4
4
–
16
58
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Fig
u
r
e
1
6
.
Per
f
o
r
m
a
n
ce
o
f
p
r
o
p
o
s
ed
s
y
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tem
Fig
u
r
e
1
7
.
C
ap
ac
ito
r
v
o
ltag
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o
f
Y
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So
u
r
ce
c
o
n
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r
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u
r
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.
R
ea
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e
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n
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r
k
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.
1
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ula
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m
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Her
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f
o
r
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m
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a
r
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im
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r
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d
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n
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ter
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as
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lated
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d
th
e
r
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h
e
s
im
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lated
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c
u
it
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h
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Fig
u
r
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h
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o
u
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t
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o
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u
r
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.
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h
e
in
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t
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r
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o
f
th
e
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o
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ter
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Fig
u
r
e
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0
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Fig
u
r
e
1
9
.
Ou
tp
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t
v
o
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o
f
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Fig
u
r
e
2
0
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I
n
p
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r
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en
t o
f
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SI.
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h
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o
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r
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u
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e
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3
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n
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.
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2
3
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1
1
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125
)
1
1
−
4
×
0
.
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2
4
)
5
6
7
8
9
10
11
12
13
14
15
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
W
i
nd
Speed
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s
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rm
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nce
0
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
50
100
150
200
250
300
350
Ti
m
e
(s
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nds
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V
c(V
)
0
1
2
3
4
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0
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1000
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2
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3
0
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4
0
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5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
50
100
150
200
250
300
350
400
Ti
m
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(s
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(V
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0
0
.
1
0
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2
0
.
3
0
.
4
0
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5
0
.
6
0
.
7
0
.
8
0
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9
1
-1
0
0
10
20
30
40
50
60
70
80
Ti
m
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(s
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nds
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I
i
n(A
)
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
Usi
n
g
Y
-
s
o
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n
etw
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tu
r
b
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n
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th
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…
(
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h
mo
u
d
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d
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b
a
g
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u
r
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2
1
.
C
ap
ac
ito
r
s
v
o
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f
I
YSI
(
C
1
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2
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4
.
2
.
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m
pa
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lt
s
o
f
t
he
pro
po
s
ed
s
y
s
t
em
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r
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ap
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e
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h
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ts
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n
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m
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h
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ts
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ted
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T
ab
l
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m
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ar
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o
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u
t c
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r
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ts
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2
2
.
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r
o
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ig
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r
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e
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u
t
s
tr
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o
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s
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n
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its
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ip
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le
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lig
i
b
le,
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ich
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s
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ial
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t
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r
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with
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th
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tu
r
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o
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h
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f
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ily
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jectio
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r
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n
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m
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r
r
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d
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g
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HD
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y
t
h
e
p
r
o
p
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ed
win
d
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r
b
in
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s
y
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tem
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clu
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in
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I
YSI
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d
win
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tu
r
b
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e
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in
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an
d
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d
t
u
r
b
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e
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y
s
tem
b
ased
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n
Z
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u
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in
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ter
a
r
e
s
h
o
wn
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Fig
u
r
es
2
3
,
Fig
u
r
e
2
4
an
d
2
5
,
r
es
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jec
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n
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r
r
en
t
o
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p
r
o
p
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ed
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tem
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ter
m
s
o
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ar
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ic
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h
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th
e
tr
ad
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al
Y
-
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u
r
ce
s
y
s
tem
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d
p
r
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v
id
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u
ality
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o
m
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ar
ed
t
o
th
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r
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en
t
h
ar
m
o
n
ic
s
p
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tr
u
m
o
f
a
s
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s
tem
s
im
ilar
to
th
e
Z
-
So
u
r
ce
elec
tr
o
n
ic
p
o
wer
co
n
v
er
ter
,
s
y
s
tem
s
with
th
e
Y
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u
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ce
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r
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m
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ch
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etter
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d
h
a
v
e
a
lo
wer
T
HD
h
ar
m
o
n
ic
s
p
ec
tr
u
m
.
T
ab
le
4
.
Stru
ctu
r
es c
o
m
p
ar
e
o
f
I
YSI
,
YSI
,
Z
SI.
Tr
a
n
sf
o
r
mer
N
u
mb
e
r
o
f
i
n
d
u
c
t
a
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e
s
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u
mb
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a
p
a
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c
t
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v
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t
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2
1
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mp
r
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d
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r
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i
n
v
e
r
t
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r
1
0
1
1
Y
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r
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e
i
n
v
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r
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2
1
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r
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e
i
n
v
e
r
t
e
r
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S
I
(
z
o
o
m)
(
IY
S
I)
YSI
(
zo
o
m)
(YSI
)
Fig
u
r
e
22.
C
o
m
p
ar
is
o
n
of
th
e
in
p
u
t
cu
r
r
en
t
of
I
YSI
an
d
win
d
tu
r
b
in
e
s
y
s
tem
in
clu
d
in
g
YSI
.
0
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
-1
0
0
-5
0
0
50
100
150
200
250
Ti
m
e
(s
eco
nds
)
V
c1
(V
)
0
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
0
50
100
150
200
250
300
Ti
m
e
(s
eco
nds
)
V
c2
(V
)
0
.
9
9
9
8
0
.
9
9
9
9
1
0
5
10
15
20
Ti
m
e
(s
eco
nds
)
I
i
n(A
)
0
0
.
1
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
-1
0
0
10
20
30
40
50
60
70
80
Ti
m
e
(s
eco
nds
)
I
i
n(A
)
0
.
9
9
9
8
0
.
9
9
9
9
1
-1
0
-5
0
5
10
15
20
Ti
m
e
(s
eco
nds
)
I
i
n-Y
-s
o
urce
(A
)
0
.
2
0
.
3
0
.
4
0
.
5
0
.
6
0
.
7
0
.
8
0
.
9
1
-1
0
0
10
20
30
40
50
60
Ti
m
e
(s
eco
nds
)
I
i
n-Y
-s
o
urce
(A
)
Evaluation Warning : The document was created with Spire.PDF for Python.