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an
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f
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late
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s
[
1
]
.
A
l
s
o
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Sp
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d
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ted
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s
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[
3
].
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th
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x
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m
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w
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[
4
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-
[
5
],
T
h
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n
eu
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al
n
et
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m
et
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th
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p
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in
t
tr
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k
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[
6
]
.
I
n
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d
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f
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[
7
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.
Nev
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8
8
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694
I
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P
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lec
&
Dr
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S
y
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,
Vo
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9
,
No
.
2
,
J
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n
e
2
0
1
8
:
811
–
819
812
is
s
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m
p
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[
8
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-
[
9
].
T
h
u
s
,
th
e
co
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tr
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l b
ased
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n
(
T
-
S)
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s
d
u
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d
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f
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ess
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in
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n
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a
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th
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co
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atica
ll
y
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ted
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m
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e
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tech
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10
].
T
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f
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a
r
esu
lt,
th
e
g
lo
b
al
s
y
s
te
m
m
o
d
el
is
ac
h
ie
v
ed
b
y
a
co
m
b
i
n
atio
n
o
f
th
e
d
i
f
f
er
e
n
t
l
in
ea
r
m
o
d
els.
T
h
en
,
a
lin
ea
r
f
ee
d
b
ac
k
co
n
tr
o
l
h
as
to
b
e
co
n
s
tr
u
cted
f
o
r
ev
er
y
lo
ca
l
lin
ea
r
m
o
d
el.
A
cc
o
r
d
i
n
g
l
y
,
t
h
e
co
n
s
eq
u
e
n
t
o
v
er
al
l
n
o
n
l
in
ea
r
co
n
tr
o
ller
is
o
n
ce
m
o
r
e
a
f
u
zz
y
co
m
b
i
n
atio
n
o
f
ea
ch
d
is
tin
c
t li
n
ea
r
co
n
tr
o
ller
[
1
1
]
.
T
h
e
r
est
o
f
t
h
is
p
ap
er
is
a
r
r
an
g
ed
as
f
o
llo
w
in
g
:
in
t
h
e
s
ec
o
n
d
s
ec
tio
n
,
a
d
y
n
a
m
ic
m
o
d
ell
in
g
o
f
t
h
e
W
E
C
S
is
p
r
esen
ted
.
T
h
e
th
ir
d
s
ec
tio
n
s
tar
ts
w
ith
p
r
ese
n
ti
n
g
th
e
co
n
tr
o
l
s
tr
ateg
y
.
T
h
en
,
f
u
zz
y
m
o
d
ell
in
g
o
f
th
e
s
y
s
te
m
i
s
p
r
esen
ted
.
Fi
n
al
l
y
,
t
h
e
co
n
tr
o
l
d
esig
n
is
e
x
p
la
in
ed
an
d
s
tab
ilit
y
co
n
d
itio
n
s
a
r
e
g
i
v
en
.
Sectio
n
4
is
r
eser
v
ed
to
p
r
esen
t
n
u
m
er
ic
al
s
i
m
u
latio
n
s
t
h
at
ill
u
s
tr
ate
t
h
e
ef
f
ec
ti
v
e
n
es
s
o
f
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l
to
p
o
lo
g
y
.
W
e
f
in
i
s
h
b
y
a
co
n
c
lu
s
io
n
.
2.
M
O
DE
L
L
I
N
G
O
F
T
H
E
W
I
ND
T
URB
I
N
E
G
E
N
E
RA
T
O
R
3
.
1
.
Wind
t
urbin
e
m
o
del
A
s
ch
e
m
atic
o
v
er
v
ie
w
o
f
t
h
e
W
E
C
S
is
s
h
o
w
n
i
n
Fi
g
u
r
e
1
.
T
h
e
s
y
s
te
m
s
u
p
p
lies
a
r
es
is
ti
v
e
lo
ad
an
d
co
n
s
is
ts
o
f
a
w
in
d
t
u
r
b
in
e
r
o
to
r
,
P
MSG,
r
ec
tif
ier
,
an
d
a
b
o
o
s
t
co
n
v
er
ter
.
W
in
d
tu
r
b
i
n
e
co
n
v
er
ts
th
e
w
i
n
d
en
er
g
y
in
to
m
ec
h
an
ical
e
n
er
g
y
,
w
h
ic
h
t
h
en
r
u
n
s
a
g
e
n
er
ato
r
to
cr
ea
te
elec
tr
ical
en
er
g
y
.
Fig
u
r
e
1
.
Stru
ct
u
r
al
d
iag
r
a
m
o
f
W
E
C
S
T
h
e
am
o
u
n
t
of
p
o
w
er
ca
p
tu
r
e
d
by
t
h
e
w
in
d
t
u
r
b
in
e
is
g
i
v
en
as
[
1
2
]
:
23
1
()
2
mP
P
R
V
C
(
1
)
W
h
er
e,
is
t
h
e
air
d
en
s
it
y
(
k
g
/
m
3
),
R
is
t
h
e
b
lad
e
r
ad
iu
s
(
m
)
,
v
is
t
h
e
w
i
n
d
v
e
lo
cit
y
(
i
n
m
/
s
)
,
an
d
()
p
C
is
t
h
e
p
o
w
er
co
e
f
f
ic
ien
t
u
s
u
all
y
g
i
v
en
as
a
f
u
n
ct
io
n
of
t
h
e
ti
p
-
s
p
ee
d
r
atio
.
T
h
e
tip
-
s
p
ee
d
r
atio
is
d
ef
i
n
ed
as
m
R
V
(
2
)
T
h
e
w
in
d
t
u
r
b
in
e
m
ec
h
a
n
ical
t
o
r
q
u
e
o
u
tp
u
t
Tm
g
iv
e
n
as
:
52
3
()
1
2
P
mm
C
TR
(
3
)
Ma
n
y
d
if
f
er
e
n
t
v
er
s
io
n
s
of
f
it
ted
eq
u
atio
n
s
f
o
r
p
C
h
av
e
b
ee
n
u
s
ed
in
p
r
e
v
io
u
s
s
tu
d
ies.
T
h
is
p
ap
er
d
ef
in
ed
p
C
b
ased
on
th
e
f
o
llo
w
i
n
g
[
1
3
]
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2088
-
8
694
MPP
T C
o
n
tr
o
l fo
r
W
in
d
E
n
erg
y
C
o
n
ve
r
s
io
n
S
ystem
B
a
s
ed
o
n
a
T
-
S
F
u
z
z
y
(
A
.
B
en
ka
d
a
)
813
32
0
.
2
1
2
0
.
0
8
5
6
0
.
2
5
3
9
P
C
(
4
)
T
he
m
a
x
i
m
u
m
of
p
C
,
th
at
is
m
a
x
0
.
1
5
P
C
,
is
r
ea
ch
ed
f
o
r
0
.
7
8
opt
.
Hen
ce
,
t
h
er
e
is
o
n
e
p
ar
ticu
lar
opt
,
o
p
tim
al
p
o
w
er
co
ef
f
icie
n
t,
a
n
d
an
o
p
ti
m
a
l
tu
r
b
i
n
e
r
o
tatin
g
v
elo
cit
y
_
m
o
p
t
,
u
n
d
er
w
h
ic
h
p
C
tak
es
a
m
ax
i
m
u
m
v
alu
e
_
m
a
x
p
C
.
opt
is
t
h
e
o
p
ti
m
al
v
alu
e
of
t
h
e
tip
s
p
ee
d
r
atio
,
w
h
ic
h
is
d
ep
en
d
en
t
on
th
e
ch
ar
ac
ter
is
tic
s
of
t
h
e
t
u
r
b
in
e
s
y
s
te
m
.
A
l
s
o
,
th
e
m
ax
i
m
u
m
p
o
w
er
ca
n
be
ca
p
tu
r
ed
f
r
o
m
t
h
e
w
i
n
d
.
A
cc
o
r
d
in
g
l
y
,
th
e
tu
r
b
i
n
e
s
y
s
te
m
w
o
r
k
s
in
m
ax
i
m
u
m
p
o
w
er
p
o
in
t
tr
ac
k
i
n
g
(
MP
PT)
[
1
4
]
,
as
d
ep
icted
in
Fi
g
u
r
e
2.
T
h
e
Fig
u
r
e
3
p
r
esen
t
s
p
C
as
a
f
u
n
ct
io
n
o
f
.
A
cc
o
r
d
in
g
to
t
h
e
f
i
g
u
r
e,
t
h
er
e
i
s
o
n
l
y
o
n
e
o
p
ti
m
al
p
o
in
t,
d
en
o
ted
b
y
opt
,
w
h
er
e
p
C
is
m
a
x
i
m
u
m
.
C
o
n
ti
n
u
o
u
s
o
p
er
atio
n
o
f
t
h
e
w
i
n
d
t
u
r
b
in
e
at
th
i
s
p
o
in
t
g
u
ar
a
n
tees
t
h
at
it
w
ill
o
b
tain
t
h
e
m
a
x
i
m
u
m
a
v
ailab
le
p
o
w
er
f
r
o
m
t
h
e
w
i
n
d
at
a
n
y
s
p
ee
d
,
as
s
h
o
w
n
i
n
Fi
g
u
r
e
4.
Fig
u
r
e
2
.
C
h
ar
ac
ter
is
t
ics o
f
t
u
r
b
in
e
p
o
w
er
as a
f
u
n
ctio
n
o
f
t
h
e
r
o
to
r
s
p
ee
d
Fig
u
r
e
3
.
T
h
e
ch
ar
ac
ter
is
tic
o
f
th
e
p
o
w
er
co
ef
f
icie
n
t
as
a
f
u
n
ctio
n
o
f
tip
s
p
ee
d
r
atio
3
.
2
.
P
M
SG
M
o
del
I
n
o
r
d
er
to
s
i
m
p
lify
t
h
e
d
y
n
a
m
ic
m
o
d
el
o
f
t
h
e
elec
tr
ical
p
ar
t
o
f
P
MSG,
a
p
p
ly
i
n
g
a
ch
an
g
e
o
f
lan
d
m
ar
k
s
w
h
ic
h
r
o
tates
at
t
h
e
s
a
m
e
s
p
ee
d
as
th
e
r
o
to
r
(
T
w
o
b
o
b
b
in
s
d
q
r
o
tate
w
it
h
th
e
r
o
to
r
an
d
g
en
er
ati
n
g
th
e
s
a
m
e
e
f
f
ec
t a
s
t
h
e
t
h
r
ee
f
i
x
ed
co
ils
)
[
1
4
]
.
T
h
en
th
e
elec
tr
i
ca
l
m
o
d
el
o
f
t
h
e
P
MSG
i
s
d
ef
i
n
ed
i
n
t
h
e
r
o
tati
n
g
r
ef
er
en
ce
f
a
m
e
d
-
q
as f
o
llo
w
s
:
sd
s
d
s
s
d
d
e
q
s
q
dI
V
R
I
L
L
I
dt
(
5
)
()
sq
s
q
s
s
q
q
e
d
s
d
m
dI
V
R
I
L
L
I
dt
(
6
)
W
h
er
e
,
s
q
s
d
VV
ar
e
th
e
d
ir
ec
t
an
d
q
u
ad
r
atu
r
e
co
m
p
o
n
e
n
t
s
of
t
h
e
P
MSG
v
o
lta
g
es,
s
R
,
d
L
an
d
q
L
,
r
esp
ec
tiv
el
y
,
ar
e
th
e
r
esis
tan
c
e,
th
e
d
ir
ec
t
a
n
d
th
e
q
u
ad
r
atu
r
e
in
d
u
cta
n
ce
of
th
e
P
MSG
w
in
d
i
n
g
,
()
m
wb
r
ep
r
esen
ts
t
h
e
m
a
g
n
et
f
l
u
x
,
e
(
r
ad
/s
)
is
th
e
elec
tr
ical
r
o
tatio
n
al
s
p
ee
d
of
P
MSG
,
,
s
d
s
q
II
(
A
)
ar
e
th
e
d
ir
ec
t
an
d
q
u
ad
r
atu
r
e
co
m
p
o
n
en
ts
of
th
e
P
MSG
cu
r
r
en
t
s
,
r
esp
ec
tiv
el
y
.
T
h
e
d
y
n
a
m
ic
eq
u
atio
n
of
t
h
e
w
i
n
d
tu
r
b
i
n
e
is
d
escr
ib
ed
b
y
:
11
t
T
e
t
t
T
T
T
d
D
TT
d
t
J
J
J
(
7
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
2
,
J
u
n
e
2
0
1
8
:
811
–
819
814
T
h
e
elec
tr
o
m
a
g
n
et
ic
to
r
q
u
e
of
a
p
-
p
o
le
m
ac
h
i
n
e
is
o
b
tain
ed
as
[
1
6
]
:
3
(
(
)
)
2
e
m
p
m
s
q
d
q
s
d
s
q
T
n
I
L
L
I
I
(
8
)
W
h
er
e
em
T
(
N
m
)
is
t
h
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e,
p
n
is
th
e
n
u
m
b
er
of
p
o
le
p
air
s
,
T
D
is
th
e
d
am
p
i
n
g
co
ef
f
icie
n
t
a
n
d
T
J
is
t
h
e
m
o
m
en
t
of
in
er
tia.
3.
CO
NT
RO
L
ST
R
AT
E
G
Y
3
.
1
T
he
co
ntr
o
l st
ra
t
e
g
y
o
f
t
he
M
P
P
T
Fig
u
r
e
4
.
F
u
zz
y
tr
ac
k
i
n
g
co
n
tr
o
l d
iag
r
a
m
T
h
e
Fig
u
r
e
4
p
r
esen
t
t
h
e
co
n
tr
o
l
s
ch
e
m
e
tr
ea
ted
in
t
h
e
cu
r
r
e
n
t
w
o
r
k
in
th
e
ai
m
to
m
ai
n
tain
g
en
er
ated
p
o
w
er
at
i
ts
m
a
x
i
m
u
m
v
a
lu
e.
MP
PT
is
a
p
r
o
ce
s
s
t
h
at
s
ea
r
ch
es
t
h
e
o
p
er
atin
g
p
o
in
t
w
h
ic
h
a
llo
w
s
e
x
tr
ac
ti
n
g
th
e
m
ax
i
m
u
m
av
ai
lab
le
p
r
o
d
u
ce
d
p
o
w
er
at
an
y
w
i
n
d
s
p
ee
d
lev
el.
T
h
e
co
n
tr
o
l
alg
o
r
ith
m
r
e
q
u
ir
es
to
m
ea
s
u
r
e
r
ef
er
en
ce
s
i
g
n
als
to
be
tr
ac
k
e
d
f
o
r
th
e
r
o
to
r
s
p
ee
d
,
th
e
d
ir
e
ct
an
d
q
u
ad
r
atu
r
e
s
tato
r
cu
r
r
en
t.
T
h
en
,
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I
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I
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:
2
0
8
8
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8
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w
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ess
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3
T
he
P
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o
l
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h
e
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al
is
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d
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iv
e
th
e
ac
t
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al
v
ar
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x
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MSM
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d
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w
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zz
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s
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ch
as
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d
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ap
p
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h
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t
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is
d
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by
[
1
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as:
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(
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2088
-
8
694
MPP
T C
o
n
tr
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l fo
r
W
in
d
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n
erg
y
C
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4.
RE
SU
L
T
S AN
D
D
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SS
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O
N
In
th
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k
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in
Fig
u
r
e
4.
First,
we
h
av
e
s
i
m
u
lated
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h
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y
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w
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as
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s
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m
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v
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t
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V
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r
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2
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u
r
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5
.
W
in
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s
p
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d
v
ar
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n
T
h
e
p
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f
u
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n
tr
o
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er
r
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lts
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t
h
e
MP
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esp
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es
s
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n
in
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ig
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6
,
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th
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aj
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r
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7,
Fig
u
r
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8
.
th
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l
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m
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u
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u
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6
b
.
R
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s
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ee
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r
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6
.
No
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r
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S F
u
zz
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n
tr
o
l
m
et
h
o
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
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
2
,
J
u
n
e
2
0
1
8
:
811
–
819
818
Fig
u
r
e
7
a.
P
o
w
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H.
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n
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n
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D.
S
u
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b
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ra
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m
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w
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.
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c
.
of
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PE
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o
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1
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]
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.
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e
h
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rra
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,
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IJ
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R),
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5
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4
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1
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.
[4
]
D.
P
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f
ti
tsis,
G
.
A
d
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is,
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n
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A.
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[5
]
M
.
A
ll
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u
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h
e
,
M
.
S
o
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issi,
M
.
C
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D.
M
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.
[6
]
B.
Ba
h
ra
m
in
e
jad
,
Ira
n
p
o
u
r
,
M
.
R
.
,
Esf
a
n
d
iari,
E,
“
P
it
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h
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o
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tr
o
l
o
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in
d
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Us
in
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IT
2
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L
Co
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ll
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.
I
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ter
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ti
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rn
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l
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f
Re
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wa
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le E
n
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rg
y
Res
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a
rc
h
(
IJ
RE
R),
v
o
l.
4
,
n
o
4
,
p
p
.
1
0
7
7
,
2
0
1
4
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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.
A
n
ju
a
n
d
R.
Ra
jas
e
k
a
ra
n
,
“
P
o
w
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ter
En
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IJ
ECE
)
,
v
o
1
/i
ss
u
e
:
3
(5
),
2
0
1
3
[8
]
M
.
Na
rim
a
n
i
a
n
d
H.
K.
L
a
m
,
“
Re
lax
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8
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[9
]
Y.E
rra
m
i,
M
.
Hilal,
M
.
Be
n
c
h
a
g
ra
,
M
.
M
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f
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.
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.
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No
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.
In
ter
n
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ti
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u
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5
-
1
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0
,
M
a
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0
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2
.
[1
0
]
D.
H.
Lee
,
J.
B.
P
a
rk
,
a
n
d
Y.
H.
Jo
o
,
“
A
n
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w
f
u
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p
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n
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ms
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1
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Y.
L
ian
,
T
.
S
.
C
h
ian
g
,
C.
S
.
C
h
iu
,
a
n
d
P
.
L
iu
,
“
S
y
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e
sis
o
f
f
u
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b
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n
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m
m
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ica
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f
o
r
c
h
a
o
ti
c
s
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ste
m
s
”
.
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E
T
ra
n
s.
o
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S
y
ste
ms
,
M
a
n
,
Cy
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e
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ti
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s
:
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rt
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o
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,
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p
.
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2
]
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.
L
a
m
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a
d
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e
t
a
l.
,
“
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o
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s
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In
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n
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n
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l
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rn
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r E
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m
,
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l/
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:
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(
3
),
2
0
1
6
.
[1
3
]
HE
M
e
n
a
L
o
p
e
z
“
M
a
x
i
m
u
m
p
o
w
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tr
a
c
k
in
g
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m
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r
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in
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g
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n
e
ra
to
r
s
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ste
m
s
[
M
a
ste
r
T
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e
sis]
’’.
T
e
x
a
s
A&
M
Un
iv
e
rsit
y
;
2
0
0
7
.
[1
4
]
M
Na
ra
y
a
n
a
,
GA
P
u
tru
s,
M
Jo
v
a
n
o
v
ic,
P
S
L
e
u
n
g
,
S
M
c
Do
n
a
ld
,
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n
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ric
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trac
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ll
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sc
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le
w
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tu
rb
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wa
b
le
En
e
rg
y
4
4
:
7
2
–
7
9
.
[1
5
]
D.
Ou
n
n
a
s,
M
.
Ra
m
d
a
n
i,
S
.
Ch
e
n
ik
h
e
r
a
n
d
T
.
Bo
u
k
ti
r,
“
A
f
u
z
z
y
trac
k
in
g
c
o
n
tro
l
d
e
sig
n
stra
teg
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r
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in
d
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e
rg
y
c
o
n
v
e
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n
sy
st
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m
’’
.
Pro
c
.
4
th
In
ter
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t
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Co
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En
e
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Res
e
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a
n
d
a
p
p
li
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a
ti
o
n
s
,
Pa
ler
mo
,
It
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ly,
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2
5
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o
v
2
0
1
5
,
p
p
.
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7
7
-
7
8
2
.
[1
6
]
M
.
M
a
n
s
o
u
r
,
M
.
N.
M
a
n
so
u
r
i
a
n
d
M
.
F
.
M
m
ı
m
o
u
n
i,
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S
t
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