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6
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Dec
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u
tp
u
t
p
o
w
er
an
d
b
etter
m
ax
i
m
u
m
p
o
w
er
p
o
in
t
tr
ac
k
in
g
(
MP
P
T
)
c
o
u
ld
b
e
ac
h
iev
ed
u
s
i
n
g
a
n
e
w
tec
h
n
iq
u
e.
T
h
e
tech
n
iq
u
e
w
a
s
co
m
p
ar
ed
w
it
h
co
n
v
e
n
tio
n
al
m
et
h
o
d
s
an
d
v
er
i
f
ied
m
at
h
e
m
atica
ll
y
.
T
h
e
r
ea
ctiv
e
p
o
w
er
co
n
tr
o
l
o
f
w
i
n
d
f
ar
m
s
w
er
e
d
is
c
u
s
s
ed
in
[
7
]
,
tak
in
g
i
n
to
co
n
s
id
er
atio
n
th
e
ca
lcu
la
tio
n
s
o
f
t
h
e
r
ea
ctiv
e
p
o
w
er
li
m
it.
A
n
u
m
er
ical
te
s
t
s
y
s
te
m
f
o
r
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
w
a
s
est
ab
lis
h
ed
an
d
s
h
o
w
ed
t
h
e
e
f
f
ec
tiv
e
n
es
s
o
f
th
at
m
et
h
o
d
.
A
n
o
n
-
l
in
ea
r
a
lg
o
r
ith
m
w
a
s
p
r
o
p
o
s
ed
to
co
n
tr
o
l
th
e
s
y
s
te
m
a
n
d
in
cr
ea
s
e
th
e
ef
f
icie
n
c
y
[
8
]
.
T
h
e
co
n
n
ec
tio
n
b
et
w
ee
n
t
h
e
m
ac
h
in
e
an
d
th
e
g
r
id
w
as
th
r
o
u
g
h
a
m
u
lti
-
le
v
e
l
co
n
v
er
ter
.
T
h
e
test
o
f
th
e
p
r
o
p
o
s
ed
c
o
n
tr
o
ller
w
a
s
ca
r
r
ie
d
o
u
t
u
s
in
g
M
A
T
L
A
B
/S
i
m
u
l
in
k
,
a
n
d
t
h
e
r
es
u
lts
an
al
y
s
is
s
h
o
w
ed
t
h
e
v
alid
atio
n
o
f
th
e
p
r
o
p
o
s
ed
m
et
h
o
d
.
T
h
e
b
ac
k
s
tep
p
in
g
ap
p
r
o
ac
h
i
n
v
o
l
v
i
n
g
w
i
n
d
s
p
ee
d
e
s
ti
m
at
io
n
w
a
s
u
s
ed
to
d
ev
elo
p
a
n
o
n
-
li
n
ea
r
co
n
tr
o
l
la
w
f
o
r
a
v
ar
iab
le
s
p
ee
d
w
i
n
d
t
u
r
b
in
e
,
w
h
ich
w
as
eq
u
ip
p
ed
w
it
h
D
FIG
[
9
]
.
T
h
e
co
n
tr
o
l
o
b
j
ec
tiv
e
in
v
o
l
v
ed
tr
ac
k
in
g
f
o
r
t
h
e
m
a
x
i
m
u
m
w
in
d
p
o
w
er
,
r
o
to
r
f
l
u
x
r
eg
u
latio
n
w
i
th
co
n
tr
o
lli
n
g
th
e
s
tato
r
r
ea
ctiv
e
p
o
w
er
,
an
d
k
ee
p
in
g
D
C
lin
k
v
o
ltag
e
co
n
s
tan
t.
T
h
e
w
i
n
d
esti
m
ato
r
an
d
th
e
co
n
tr
o
l
la
w
w
er
e
v
er
i
f
ied
u
s
i
n
g
MA
T
L
A
B
/S
i
m
u
li
n
k
a
s
w
el
l.
A
l
s
o
,
a
b
ac
k
s
tep
p
in
g
r
o
b
u
s
t
c
o
n
tr
o
ller
f
o
r
a
2
.
4
MW
DFI
G
w
in
d
tu
r
b
i
n
e
w
a
s
o
b
tain
ed
in
ca
s
e
o
f
tech
n
ical
d
is
tu
r
b
an
ce
s
i
n
t
h
e
g
en
er
ato
r
,
alo
n
g
w
it
h
t
h
e
ap
p
licatio
n
o
f
P
SO
to
d
eter
m
i
n
e
th
e
o
p
ti
m
u
m
p
ar
a
m
eter
s
[
1
0
]
.
An
o
th
er
m
e
th
o
d
w
a
s
in
tr
o
d
u
c
ed
to
c
o
n
tr
o
l
th
e
s
a
m
e
tu
r
b
in
e
t
y
p
e,
p
er
f
o
r
m
i
n
g
co
n
tr
o
l
v
ec
to
r
-
o
r
ien
ted
s
tato
r
f
l
u
x
[
1
1
]
.
T
h
e
p
r
o
p
o
s
ed
co
n
tr
o
ller
w
as
a
p
r
o
p
o
r
ti
o
n
al
-
in
teg
r
al
(
P
I
)
co
n
tr
o
ller
w
it
h
co
r
r
ec
tio
n
.
T
h
e
r
esu
lts
d
eter
m
i
n
ed
u
s
i
n
g
MA
T
L
A
B
/Si
m
u
li
n
k
o
f
tes
ti
n
g
t
h
e
c
o
n
tr
o
ller
s
h
o
w
ed
th
at
th
e
s
y
s
te
m
w
a
s
f
ea
s
ib
le.
T
h
e
a
u
t
h
o
r
in
[
1
2
]
p
r
o
p
o
s
ed
a
d
esig
n
f
o
r
a
co
n
tr
o
ll
er
u
s
i
n
g
t
h
e
tec
h
n
iq
u
e
o
f
s
tati
c
o
u
tp
u
t
f
ee
d
b
ac
k
.
T
h
e
r
esu
lts
w
er
e
co
m
p
ar
ed
to
an
ex
i
s
ti
n
g
m
et
h
o
d
to
h
elp
to
im
p
r
o
v
e
th
e
s
y
s
te
m
p
er
f
o
r
m
an
ce
.
C
o
n
tr
o
l
s
tr
ateg
ie
s
w
er
e
ap
p
lied
to
th
e
co
n
v
er
ter
at
th
e
r
o
to
r
s
id
e
[
1
3
]
.
T
h
e
y
i
n
v
o
lv
ed
Flu
x
o
r
ien
ted
co
n
tr
o
l,
v
o
lta
g
e
o
r
ien
ted
co
n
tr
o
l,
d
ir
ec
t
to
r
q
u
e
co
n
tr
o
l,
an
d
d
ir
ec
t
p
o
w
er
co
n
tr
o
l
i
n
o
r
d
er
t
o
ac
h
iev
e
MP
P
T
t
o
g
et
m
a
x
i
m
u
m
e
f
f
icie
n
c
y
.
Fo
r
th
at
s
t
u
d
y
,
P
SC
A
D/E
MT
DC
s
o
f
t
w
ar
e
w
a
s
u
s
ed
to
im
p
le
m
en
t
th
e
s
i
m
u
latio
n
r
esu
lt
s
.
A
d
v
a
n
ce
d
d
if
f
er
e
n
tial
ev
o
lu
tio
n
w
as
ap
p
lied
to
th
e
o
p
tim
a
l
co
n
tr
o
l
p
r
o
b
lem
i
n
a
m
u
l
ti
-
m
ac
h
i
n
e
p
o
w
er
s
y
s
te
m
[
1
4
]
.
As
f
au
lts
o
n
tr
an
s
m
is
s
io
n
li
n
es
af
f
ec
t
t
h
e
s
y
s
te
m
s
tab
ilit
y
,
o
p
ti
m
izin
g
t
h
e
o
b
j
ec
tiv
e
w
as
i
m
p
le
m
en
ted
u
s
i
n
g
a
P
I
co
n
tr
o
ller
.
T
h
e
p
ar
am
eter
s
w
er
e
tu
n
ed
u
s
i
n
g
t
h
e
ab
o
v
e
m
e
n
tio
n
ed
al
g
o
r
ith
m
.
T
h
e
r
esu
lts
s
h
o
w
ed
an
e
n
h
an
ce
m
en
t
to
th
e
o
v
er
all
s
y
s
te
m
s
tab
ilit
y
a
n
d
p
er
f
o
r
m
a
n
ce
.
B
ased
o
n
g
r
av
itatio
n
la
w
s
,
a
n
e
w
o
p
ti
m
izatio
n
m
et
h
o
d
w
a
s
u
s
ed
to
tu
n
e
t
h
e
p
ar
am
e
ter
s
o
f
th
r
ee
P
I
co
n
tr
o
ller
s
,
w
h
ic
h
w
er
e
u
s
ed
t
o
d
esig
n
a
m
o
r
e
s
tab
le
s
y
s
te
m
,
i
f
s
u
b
j
ec
ted
to
lar
g
e
d
i
s
tu
r
b
an
ce
s
,
in
co
m
p
ar
is
o
n
w
i
th
co
m
m
o
n
g
e
n
etic
alg
o
r
ith
m
(
G
A
)
an
d
P
SO o
p
tim
izatio
n
m
et
h
o
d
s
[
1
5
]
.
I
n
th
i
s
p
ap
er
,
a
co
n
tr
o
l
m
o
d
el
u
s
i
n
g
th
e
r
ec
e
n
t
M
A
T
L
A
B
/Si
m
u
lin
k
h
as
b
ee
n
d
ev
elo
p
ed
.
B
o
th
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
w
er
e
u
s
e
d
an
d
th
eir
g
ai
n
s
w
er
e
o
p
ti
m
ized
u
s
i
n
g
C
S
A
f
o
r
th
r
ee
co
n
tr
o
l
lo
o
p
s
:
p
itch
,
r
o
to
r
-
s
id
e
co
n
v
er
ter
,
an
d
g
r
i
d
-
s
id
e
co
n
v
er
ter
.
T
h
e
s
y
s
te
m
b
eh
av
io
r
h
a
s
b
ee
n
o
b
s
er
v
ed
u
n
d
er
s
tead
y
-
s
tate
co
n
d
itio
n
a
n
d
th
e
r
es
u
lts
w
e
r
e
an
al
y
ze
d
a
n
d
co
m
p
ar
ed
t
o
d
eter
m
i
n
e
th
e
b
e
s
t
o
n
e,
wh
ich
w
o
u
ld
ac
h
ie
v
e
th
e
b
es
t
p
itc
h
co
n
tr
o
l
an
d
m
ax
i
m
u
m
p
o
w
er
.
T
h
e
er
r
o
r
f
u
n
ctio
n
o
f
ea
ch
co
n
tr
o
ller
w
a
s
o
p
ti
m
ized
u
s
i
n
g
th
e
i
n
teg
r
al
o
f
ab
s
o
lu
te
er
r
o
r
(
I
A
E
)
,
i
n
te
g
r
al
o
f
s
q
u
ar
ed
er
r
o
r
(
I
SE)
,
i
I
n
teg
r
al
o
f
ti
m
e
m
u
ltip
lied
b
y
ab
s
o
l
u
te
er
r
o
r
(
I
T
A
E
)
,
an
d
i
n
te
g
r
al
o
f
t
i
m
e
m
u
ltip
lied
b
y
s
q
u
ar
ed
er
r
o
r
(
I
T
SE)
.
T
h
e
v
alu
es
o
f
th
e
e
r
r
o
r
s
w
er
e
less
f
o
r
th
e
f
ir
s
t
a
n
d
s
ec
o
n
d
co
n
tr
o
l
lo
o
p
s
w
h
e
n
t
h
e
P
I
co
n
tr
o
ller
w
a
s
i
m
p
le
m
en
ted
w
h
i
le
t
h
e
y
w
er
e
less
f
o
r
th
e
t
h
ir
d
lo
o
p
w
ith
u
s
in
g
t
h
e
FOP
I
D
co
n
tr
o
ller
.
T
h
e
co
m
p
ar
is
o
n
b
etw
ee
n
t
h
e
er
r
o
r
’
s
v
al
u
es
led
t
o
th
e
co
n
cl
u
s
io
n
o
f
th
a
t
u
s
i
n
g
a
co
m
p
in
a
tio
n
o
f
b
o
th
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
in
s
tead
o
f
u
s
i
n
g
o
n
l
y
o
n
e
o
f
th
e
m
m
i
g
h
t
b
e
co
n
s
id
er
ed
.
Deta
iled
d
escr
ip
tio
n
o
f
th
e
p
r
o
p
o
s
ed
s
y
s
te
m
m
at
h
e
m
a
tical
m
o
d
el,
co
n
tr
o
l
lo
o
p
s
,
o
p
tim
izatio
n
tech
n
iq
u
e
w
o
u
ld
b
e
in
tr
o
d
u
ce
d
in
th
is
p
ap
er
alo
n
g
w
it
h
t
h
e
r
esu
lts
a
n
d
th
eir
an
al
y
s
is
.
T
h
is
m
o
d
el
co
u
ld
b
e
u
s
ed
in
r
ea
l p
o
w
er
ap
p
licatio
n
s
.
T
h
e
s
tr
u
ctu
r
e
o
f
t
h
is
p
ap
er
is
as
f
o
llo
w
s
:
Sectio
n
2
in
tr
o
d
u
ce
s
th
e
m
at
h
e
m
atica
l
m
o
d
ellin
g
f
o
r
th
e
p
r
o
b
le
m
.
Sectio
n
3
d
escr
i
b
es
th
e
p
r
o
p
o
s
ed
co
n
tr
o
ller
s
.
T
h
e
u
s
ed
o
p
ti
m
i
za
tio
n
tec
h
n
i
q
u
e
is
i
n
tr
o
d
u
ce
d
i
n
s
ec
tio
n
4
.
T
h
e
s
i
m
u
latio
n
r
esu
lts
,
t
h
eir
an
al
y
s
is
,
an
d
th
e
co
m
p
ar
i
s
o
n
b
et
w
ee
n
t
h
e
m
ar
e
in
s
ec
tio
n
5
.
Fin
all
y
,
in
s
ec
tio
n
6
,
a
s
u
m
m
ar
y
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2.
M
AT
H
E
M
AT
I
CAL M
O
DE
L
L
I
N
G
I
n
th
i
s
s
ec
tio
n
,
th
e
m
at
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m
at
ic
al
m
o
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elin
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o
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t
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DFI
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an
d
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h
e
w
i
n
d
tu
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b
in
e
w
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ld
b
e
p
r
es
en
ted
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
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ith
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r
[
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.
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elatio
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s
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ip
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r
r
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ts
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p
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ess
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,
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w
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s
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ices f
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[
1
6
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Si
m
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lar
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o
r
s
tato
r
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e
s
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Fo
r
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)
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)
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Fo
r
th
e
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l
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d
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1
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ap
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λ
sd
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sd
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(
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λ
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sq
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as f
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s
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[
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]
=
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0
0
0
0
0
]
[
,
,
]
(
11
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
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lec
&
C
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p
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g
,
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10
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em
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er
2
0
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0
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6322
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m
ea
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h
at
th
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e
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ar
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les ar
e
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v
ec
to
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f
o
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m
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tato
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l a
n
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en
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tes t
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ct
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ve
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:
+
j
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13
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e
n
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at,
=
0
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≈
−
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=
+
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,
=
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−
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14
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=
−
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(
+
)
(
15
)
=
2
(
−
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(
16
)
2
.
2
.
M
a
t
he
m
a
t
ica
l
m
o
del o
f
w
ind
t
u
r
b
i
n
e
T
h
e
w
in
d
t
u
r
b
in
e
m
ath
e
m
at
ica
ll
y
is
r
ep
r
esen
ted
s
i
m
ilar
to
th
e
in
d
u
ctio
n
m
ac
h
i
n
e:
ℎ
=
−
,
(
17
)
w
h
er
e
ω
mech
h
er
e
is
t
h
e
m
ec
h
an
icall
y
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tatio
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p
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f
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b
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th
e
o
u
tp
u
t
to
r
q
u
e
o
f
th
e
w
in
d
tu
r
b
in
e,
,
is
th
e
elec
tr
o
m
a
g
n
etic
to
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q
u
e
o
f
th
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g
en
er
ato
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m
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in
ed
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it
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th
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w
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tu
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b
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e
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d
is
th
e
m
o
m
e
n
t
o
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t p
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ciate
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o
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:
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(
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e
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tr
ac
te
d
b
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m
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f
r
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m
t
h
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w
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ai
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p
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,
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n
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n
as p
o
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ef
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ic
ien
t a
n
d
q
u
an
ti
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ies t
h
e
p
o
w
er
r
ate
th
a
t th
e
r
o
to
r
ex
tr
ac
ts
,
(
W
)
:
=
=
1
2
3
(
19
)
is
th
e
ae
r
o
d
y
n
a
m
ic
e
f
f
icie
n
c
y
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r
w
i
n
d
p
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er
co
ef
f
icie
n
t.
T
h
e
w
in
d
t
u
r
b
in
e
o
u
tp
u
t
p
o
w
er
in
(
19
)
is
r
e
p
r
esen
ted
in
Fi
g
u
r
e
1
,
w
h
er
e
T
h
e
b
lu
e
b
u
b
b
les
s
h
o
w
s
th
at
t
h
is
p
o
w
er
i
s
p
r
o
b
ab
ly
d
eter
m
in
ed
b
ased
o
n
r
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d
o
m
w
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n
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s
ee
d
v
al
u
es.
I
t
is
f
o
u
n
d
th
e
ae
r
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d
y
n
a
m
i
c
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c
y
d
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en
d
s
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t
h
e
tip
s
p
ee
d
r
atio
n
an
d
th
e
b
lad
es
p
itch
an
g
le
,
s
o
th
e
o
u
tp
u
t
p
o
w
e
r
is
r
e
w
r
itte
n
as
in
(
20
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
C
u
ck
o
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ch
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lg
o
r
ith
m
b
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tu
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g
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P
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n
d
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OP
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D…
(
Mo
s
ta
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.
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l
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a
la
w
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6323
=
0
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5
2
(
,
)
3
(
20
)
Fig
u
r
e
1
.
B
lack
cu
r
v
e,
P
o
w
er
cu
r
v
e
,
R
ed
cu
r
v
e,
p
o
w
er
esti
m
ated
f
r
o
m
th
e
d
ata
I
n
(
21
)
d
ef
in
es th
e
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elatio
n
b
etw
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n
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ae
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itch
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4
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5
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e
xp
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12
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5
/
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(
21
)
T
h
is
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atio
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is
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r
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ted
i
n
Fi
g
u
r
e
2
,
w
h
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e
p
o
w
er
co
ef
f
icien
t
c
u
r
v
es
i
n
f
u
n
ctio
n
o
f
th
e
tip
s
p
ee
d
r
atio
an
d
p
ar
am
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ized
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d
if
f
er
en
t p
itch
an
g
le
v
a
lu
e
s
is
s
h
o
w
n
.
Fig
u
r
e
2
.
P
o
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er
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icie
n
t c
h
ar
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ter
is
tic
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n
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o
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th
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s
p
ee
d
r
atio
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la
m
b
d
a)
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d
p
ar
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eter
ized
w
it
h
t
h
e
p
itch
a
n
g
le
(
b
eta)
3.
CO
NT
RO
L
L
E
R
DE
SI
G
N
F
O
R
DF
I
G
-
W
I
ND
T
URB
I
N
E
As
m
en
tio
n
ed
i
n
t
h
e
p
r
ev
io
u
s
s
ec
tio
n
,
th
e
DFI
G
m
o
d
el
m
ai
n
l
y
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n
tain
s
t
h
r
ee
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n
t
r
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l
lo
o
p
s
,
f
r
o
m
t
h
e
v
ie
w
p
o
i
n
t
o
f
co
n
tr
o
l,
w
h
ic
h
ar
e
s
h
o
w
n
in
F
ig
u
r
e
3
.
I
n
th
e
w
i
n
d
tu
r
b
i
n
e
co
n
tr
o
l
lo
o
p
,
o
r
in
o
th
er
w
o
r
d
s
it
is
ter
m
ed
as
a
p
itch
co
n
tr
o
l
lo
o
p
,
th
e
elec
tr
o
m
ec
h
an
ica
l
to
r
q
u
e
is
co
n
tr
o
lled
i
n
o
r
d
er
t
o
s
u
p
p
l
y
th
e
m
a
x
i
m
u
m
a
llo
w
ab
le
p
o
w
e
r
to
th
e
g
r
id
an
d
to
av
o
id
an
y
p
r
o
b
a
b
le
f
ailu
r
e
f
o
r
t
h
e
w
in
d
t
u
r
b
in
e.
T
h
is
lo
o
p
is
d
escr
ib
ed
in
Fig
u
r
e
4
.
T
h
e
co
n
tr
o
l
f
o
r
th
e
m
ec
h
a
n
ica
l
s
y
s
te
m
o
f
b
lad
es
o
f
t
h
e
w
i
n
d
tu
r
b
in
e
h
a
s
b
ee
n
ex
ec
u
ted
ac
co
r
d
in
g
to
Fig
u
r
e
5
.
T
h
e
est
i
m
a
ted
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r
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it
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l f
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h
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ical
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te
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o
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th
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w
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n
d
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an
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th
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ig
h
h
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tin
g
o
f
t
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o
u
tp
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t
p
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w
er
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h
e
r
o
to
r
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s
id
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co
n
tr
o
l
lo
o
p
(
R
SC
L
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i
s
th
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ec
o
n
d
lo
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p
in
th
e
DFI
G
s
y
s
te
m
,
a
s
i
n
Fi
g
u
r
e
6
.
A
s
s
h
o
w
n
i
n
t
h
is
lo
o
p
,
th
e
r
o
to
r
s
p
ee
d
an
d
th
e
r
o
to
r
ex
citatio
n
s
h
o
u
ld
b
e
co
n
tr
o
lled
to
b
e
ab
le
to
ap
p
ly
elec
tr
o
m
ag
n
etic
to
r
q
u
e
an
d
th
e
r
o
to
r
ex
citatio
n
cu
r
r
e
n
t
d
ec
o
u
p
lin
g
.
Fo
r
ex
a
m
p
le,
th
e
r
o
to
r
s
p
ee
d
is
in
cr
ea
s
ed
i
f
th
e
g
r
id
h
a
s
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v
o
ltag
e
d
ip
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T
h
er
ef
o
r
e,
th
er
e
is
in
te
g
r
atio
n
b
et
w
ee
n
p
itch
an
d
th
e
r
o
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r
co
n
tr
o
ller
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
3
1
9
-
6
3
2
9
6324
Fig
u
r
e
3
.
Sch
e
m
atic
d
iag
r
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m
o
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th
e
DFI
G
w
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n
d
t
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r
b
in
e
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y
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e
m
Fig
u
r
e
4
.
Sch
e
m
atic
d
iag
r
a
m
o
f
th
e
p
itc
h
co
n
tr
o
l
Fig
u
r
e
5
.
DFI
G
W
T
d
esig
n
s
ta
tic
cu
r
v
e
s
,
(
a)
m
ec
h
a
n
ical
p
o
w
er
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w
in
d
s
p
ee
d
,
(
b
)
elec
tr
ical
p
o
w
er
-
g
en
er
ato
r
s
p
ee
d
Fig
u
er
6
.
R
o
to
r
-
s
id
e
co
n
v
er
ter
co
n
tr
o
l sch
e
m
e
d
u
r
in
g
n
o
r
m
al
o
p
er
atio
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
C
u
ck
o
o
s
ea
r
ch
a
lg
o
r
ith
m
b
a
s
ed
fo
r
tu
n
n
in
g
b
o
th
P
I
a
n
d
F
OP
I
D…
(
Mo
s
ta
fa
A
.
A
l
-
Ga
b
a
la
w
y)
6325
T
h
e
last
co
n
tr
o
l lo
o
p
i
n
t
h
e
D
FIG
is
g
r
id
-
s
id
e
co
n
tr
o
l lo
o
p
(
GSC
L
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.
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r
t
h
is
co
n
tr
o
l
s
ch
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e,
i
n
o
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er
to
s
m
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lu
c
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f
t
h
e
r
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co
n
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ter
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Fig
u
r
e
7
s
h
o
w
s
GS
C
L
co
n
tr
o
l
s
c
h
e
m
e
d
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o
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Ud
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d
iq
lr
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ar
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e
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o
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ec
to
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n
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ter
a
n
d
th
e
cu
r
r
en
t
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to
r
o
f
th
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in
d
u
cto
r
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r
esp
ec
tiv
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y
.
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h
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in
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d
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tr
o
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o
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e
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e
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lo
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et
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n
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e
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C
L
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ld
b
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ed
b
y
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atin
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t
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n
tr
o
l
in
t
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g
r
id
-
v
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lta
g
e
o
r
ien
ted
r
ef
er
en
ce
f
r
a
m
e,
w
h
ich
i
s
a
s
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n
c
h
r
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s
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o
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ted
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h
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to
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o
s
itio
n
[
1
1
]
.
Sim
ilar
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la
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n
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e
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o
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an
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e
g
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s
id
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d
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c
to
r
cu
r
r
en
t (
in
n
er
)
co
n
tr
o
l lo
o
p
s
ar
e
d
o
n
e
u
s
in
g
t
y
p
ica
l
P
I
co
n
tr
o
ller
s
.
Fig
u
r
e
7
.
G
r
id
-
s
id
e
co
n
v
er
ter
co
n
tr
o
l sch
e
m
e
d
u
r
i
n
g
n
o
r
m
al
o
p
er
atio
n
T
h
e
er
r
o
r
f
u
n
ct
io
n
o
f
ea
c
h
P
I
co
n
tr
o
ller
is
o
p
ti
m
ized
u
s
in
g
t
h
e
I
A
E
,
I
SE
,
I
T
A
E
,
an
d
I
T
SE.
=
∫
|
(
)
|
∞
0
(
22
)
=
∫
(
(
)
)
2
∞
0
(
23
)
=
∫
.
∞
0
|
(
)
|
(
24
)
=
∫
.
∞
0
(
(
)
)
2
(
25
)
Fin
all
y
,
t
h
e
o
b
j
ec
tiv
e
f
u
n
ctio
n
(
.
)
o
f
ea
ch
co
n
tr
o
ller
is
co
m
b
in
ed
as in
(
26
)
.
.
=
(
(
)
)
(
26
)
.
=
1
.
+
2
.
+
3
.
+
4
.
(
27
)
W
h
er
e
is
th
e
w
ei
g
h
t f
ac
to
r
,
an
d
th
e
f
o
llo
w
in
g
co
n
d
itio
n
s
s
h
o
u
ld
b
e
s
atis
f
ied
:
ℎ
<
ℎ
<
ℎ
ℎ
<
ℎ
<
ℎ
1
+
2
+
3
+
4
=
1
(
28
)
Her
e,
th
e
s
y
m
b
o
l
is
f
o
r
th
e
p
r
o
p
o
r
tio
n
al
co
n
tr
o
ller
,
is
f
o
r
th
e
in
teg
r
al
co
n
tr
o
ller
,
an
d
ℎ
d
en
o
tes
th
e
co
n
tr
o
l
lo
o
p
n
a
m
e.
T
h
e
f
o
llo
w
i
n
g
s
ec
t
io
n
g
i
v
e
s
a
b
r
ief
o
f
t
h
e
ap
p
lied
o
p
ti
m
izatio
n
alg
o
r
it
h
m
(
C
S
A
)
in
o
r
d
er
to
o
b
tain
th
e
co
n
tr
o
ller
s
g
ain
s
an
d
m
in
i
m
ize
t
h
e
er
r
o
r
s
v
alu
e
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
3
1
9
-
6
3
2
9
6326
4.
O
P
T
I
M
I
Z
AT
I
O
N
T
E
CH
NI
Q
U
E
T
h
e
id
ea
o
f
C
S
A
r
es
u
lted
f
r
o
m
t
h
e
id
ea
o
f
h
o
w
c
u
c
k
o
o
b
ir
d
s
in
tr
u
d
in
g
w
h
ile
s
ea
r
ch
i
n
g
f
o
r
a
n
est
f
o
r
th
eir
n
e
w
b
ab
ies.
I
t
w
a
s
d
ev
el
o
p
ed
b
y
Xin
-
s
h
e
Yan
g
an
d
Su
ash
Deb
[
1
7
]
.
T
h
ese
b
ir
d
s
p
u
t
th
eir
e
g
g
s
i
n
h
o
s
t
n
est
s
,
w
h
ic
h
m
i
g
h
t
b
e
d
is
co
v
er
ed
b
y
th
e
h
o
s
ti
n
g
b
ir
d
s
o
r
n
o
t.
C
u
c
k
o
o
b
ir
d
s
also
d
e
v
el
o
p
ed
th
eir
w
a
y
s
i
n
b
r
o
o
d
-
p
ar
asit
ic,
as
t
h
e
f
e
m
ale
s
h
a
v
e
ab
ilit
ie
s
i
n
t
h
e
m
i
m
icr
y
o
f
th
e
co
lo
r
s
o
f
a
ch
o
s
en
s
p
ec
ies
to
b
e
th
e
h
o
s
t.
T
h
eir
eg
g
s
w
o
u
ld
b
e
i
n
s
i
m
i
la
r
co
lo
r
s
,
w
h
ich
w
o
u
ld
h
elp
in
n
o
t
b
ein
g
d
is
co
v
er
ed
.
A
s
u
r
v
e
y
o
n
t
h
i
s
tec
h
n
iq
u
e
an
d
its
ap
p
licatio
n
s
w
a
s
p
r
esen
ted
in
[
1
8
]
.
I
t
w
as
v
er
y
u
s
ef
u
l
in
s
o
l
v
i
n
g
o
p
ti
m
izatio
n
p
r
o
b
lem
s
i
n
p
o
w
er
s
y
s
te
m
s
,
f
o
r
ex
a
m
p
le,
o
p
ti
m
al
d
esig
n
o
f
a
h
y
b
r
id
p
o
w
er
g
en
er
atio
n
s
y
s
te
m
[
1
9
]
,
p
o
w
er
s
ta
b
ilizer
s
[
20
]
,
p
o
w
er
f
lo
w
o
p
ti
m
izat
io
n
p
r
o
b
lem
s
[
2
1
-
2
3
]
,
an
d
ec
o
n
o
m
ic
p
o
w
er
d
is
p
atch
[
2
4
-
2
6
].
C
S
A
o
p
ti
m
izatio
n
tec
h
n
iq
u
e
co
u
ld
b
e
ap
p
lied
to
m
a
n
y
co
n
tr
o
ller
s
to
f
i
n
d
th
e
b
es
t
g
a
in
v
al
u
es
to
m
i
n
i
m
ize
t
h
e
er
r
o
r
,
h
av
e
o
p
ti
m
u
m
s
y
s
te
m
r
esp
o
n
s
e,
an
d
m
ax
i
m
ize
th
e
o
u
tp
u
t
p
o
w
er
.
T
u
n
n
i
n
g
o
f
t
h
e
P
I
co
n
tr
o
ller
[
2
7
]
,
PID
co
n
tr
o
ller
[
2
8
,
2
9
]
,
an
d
FOP
I
D
co
n
tr
o
ll
er
[
3
0
]
h
as
b
ee
n
i
n
tr
o
d
u
ce
d
i
n
m
a
n
y
ap
p
licatio
n
s
.
I
n
th
i
s
w
o
r
k
,
C
S
A
w
o
u
ld
b
e
ap
p
lied
to
tu
n
e
th
e
g
ain
s
o
f
t
h
e
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
f
o
r
t
h
e
p
r
o
p
o
s
ed
DFI
G
w
i
n
d
en
er
g
y
co
n
v
er
s
io
n
s
y
s
te
m
.
T
h
e
alg
o
r
ith
m
s
etti
n
g
s
as
t
h
e
n
o
.
o
f
iter
atio
n
s
,
a
n
d
th
e
n
o
.
o
f
p
o
p
u
latio
n
,
an
d
co
n
tr
o
l
p
ar
a
m
eter
s
w
o
u
ld
b
e
ass
i
g
n
ed
.
E
ac
h
co
n
tr
o
ller
is
i
m
p
le
m
e
n
ted
f
o
r
t
h
e
t
h
r
ee
co
n
t
r
o
l
lo
o
p
s
:
r
o
to
r
-
s
id
e
co
n
v
er
ter
,
g
r
id
-
s
id
e
co
n
v
er
ter
,
an
d
th
e
p
itch
co
n
tr
o
l
lo
o
p
.
E
ac
h
lo
o
p
r
ep
r
esen
ts
a
v
ar
iab
le,
w
h
ich
s
h
o
u
ld
b
e
co
n
tr
o
lled
.
B
o
th
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
,
s
ep
ar
atel
y
,
w
o
u
ld
b
e
i
m
p
le
m
en
ted
in
ea
c
h
l
o
o
p
.
T
h
e
v
alu
es
o
f
th
e
I
A
E
,
I
SE,
I
T
A
E
,
a
n
d
I
T
SE
w
o
u
ld
b
e
co
m
p
u
ted
f
o
r
ea
ch
ca
s
e.
T
h
o
s
e
v
al
u
es
w
o
u
l
d
b
e
co
m
p
ar
ed
an
d
an
al
y
s
ed
to
id
en
ti
f
y
t
h
e
b
etter
co
n
tr
o
ller
in
ea
ch
lo
o
p
o
f
th
e
i
n
tr
o
d
u
ce
d
s
y
s
te
m
.
5.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
NS
C
S
A
w
as
ap
p
lied
f
o
r
th
e
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
.
T
h
e
s
etti
n
g
s
o
f
t
h
e
al
g
o
r
ith
m
ar
e
s
h
o
w
n
i
n
th
e
f
o
llo
w
i
n
g
T
ab
le
1
.
T
h
e
w
eig
h
ts
o
f
t
h
e
er
r
o
r
O.
F
w
er
e
s
et
to
b
e
w
1
=
w
2
=
w
3
=
w
4
=
0
.
2
5
.
T
h
e
er
r
o
r
f
u
n
ctio
n
w
a
s
m
i
n
i
m
ized
i
n
e
ac
h
o
f
t
h
e
t
h
r
ee
co
n
tr
o
l
lo
o
p
s
a
n
d
th
e
ir
v
alu
e
s
w
er
e
d
eter
m
i
n
ed
as
s
h
o
w
n
i
n
T
ab
le
2
.
B
ea
s
ed
o
n
th
e
r
esu
lt
s
in
b
o
th
ca
s
es,
t
h
e
I
A
E
,
I
SE,
I
T
A
E
,
an
d
I
T
SE
o
f
b
o
th
p
itch
co
n
tr
o
l
lo
o
p
an
d
th
e
r
o
to
r
-
s
id
e
co
n
tr
o
l
lo
o
p
w
a
s
s
ig
n
i
f
ica
n
tl
y
le
s
s
i
n
ca
s
e
o
f
u
s
in
g
th
e
P
I
co
n
tr
o
ller
,
ex
ce
p
t
f
o
r
th
e
I
SE
v
alu
e
o
f
th
e
s
ec
o
n
d
co
n
tr
o
l
lo
o
p
.
T
h
e
P
I
co
n
tr
o
ller
f
ir
s
t
co
n
tr
o
l
lo
o
p
v
alu
e
s
w
er
e
0
.
3
1
4
,
0
.
4
9
3
,
2
.
1
9
8
,
an
d
3
.
4
5
1
,
r
esp
ec
tiv
el
y
,
w
h
ile
t
h
e
s
ec
o
n
d
co
n
tr
o
l
lo
o
p
v
alu
es
w
er
e
3
5
.
6
6
,
4
4
5
2
0
,
2
4
9
.
6
,
an
d
4
4
5
2
0
,
r
esp
ec
tiv
el
y
.
I
t
co
u
ld
b
e
n
o
ticed
th
at
th
e
I
SE
v
al
u
e
o
f
t
h
e
P
I
co
n
tr
o
ller
eq
u
led
4
4
5
2
0
,
w
h
ic
h
w
as
g
r
ea
ter
th
an
t
h
e
s
a
m
e
er
r
o
r
v
alu
e
o
f
th
e
FOP
I
D
co
n
tr
o
ller
(
2
7
1
8
0
)
,
b
u
t
th
e
P
I
co
n
tr
o
ller
v
alu
es
m
ig
h
t
-
g
en
er
all
y
-
b
e
co
n
s
id
er
ed
w
i
th
less
er
r
o
r
’
s
v
al
u
es.
Ho
w
ev
er
,
th
e
FOP
I
D
co
n
tr
o
ller
g
a
v
e
l
ess
er
r
o
r
s
v
al
u
e
s
f
o
r
th
e
g
r
id
-
s
id
e
co
n
tr
o
l
lo
o
p
,
w
h
ic
h
eq
u
a
led
3
9
.
8
9
,
7
9
5
6
,
2
7
9
,
an
d
5
5
6
9
0
,
r
esp
ec
tiv
el
y
.
T
h
e
v
alu
e
s
i
n
bo
ld
in
d
icate
s
th
e
b
etter
v
al
u
es
-
i
n
g
en
er
al
-
f
o
r
ea
ch
co
n
tr
o
l lo
o
p
.
T
ab
le
1
.
C
SA
s
et
tin
g
s
V
a
r
i
a
b
l
e
S
e
t
t
i
n
g
v
a
l
u
e
N
o
.
o
f
i
t
e
r
a
t
i
o
n
s
1
0
0
0
N
o
.
o
f
p
o
p
u
l
a
t
i
o
n
50
C
o
n
t
r
o
l
p
a
r
a
me
t
e
r
s
∝
=
0
.
7
=
0
.
4
T
ab
le
2
.
C
o
m
p
ar
is
o
n
o
f
ap
p
l
y
i
n
g
t
h
e
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
C
o
n
t
r
o
l
l
o
o
p
P
I
C
o
n
t
r
o
l
l
e
r
F
O
P
I
D
C
o
n
t
r
o
l
l
e
r
I
A
E
I
S
E
I
TA
E
I
TSE
I
A
E
I
S
E
I
TA
E
I
TSE
P
i
t
c
h
c
o
n
t
r
o
l
l
o
o
p
0
.
3
1
4
0
.
4
9
3
2
.
1
9
8
3
.
4
5
1
3
.
1
5
6
4
9
.
8
1
2
2
.
0
9
3
4
8
.
7
R
o
t
o
r
-
si
d
e
c
o
n
t
r
o
l
l
o
o
p
3
5
.
6
6
4
4
5
2
0
2
4
9
.
6
4
4
5
2
0
7
3
.
7
3
2
7
1
8
0
5
1
6
.
1
1
.
9
0
2
x
1
0
6
G
r
i
d
e
-
si
d
e
c
o
n
t
r
o
l
l
o
o
p
1
8
2
.
8
1
.
6
7
1
x
1
0
5
1
2
8
0
1
.
1
6
9
x
1
0
6
3
9
.
8
9
7
9
5
6
2
7
9
.
2
5
5
6
9
0
T
h
e
elec
tr
o
m
ec
h
a
n
ical
to
r
q
u
e
o
f
th
e
DFI
G
af
ter
ap
p
l
y
i
n
g
th
e
co
n
tr
o
ller
w
a
s
d
eter
m
i
n
ed
.
Fig
u
r
e
8
r
ep
r
esen
t
s
t
h
e
to
u
r
q
u
e
af
ter
t
h
e
ap
p
licatio
n
o
f
t
h
e
P
I
co
n
tr
o
ller
,
w
h
i
le
Fi
g
u
r
e
9
s
h
o
w
s
t
h
e
i
n
f
l
u
en
c
e
o
f
i
m
p
le
m
en
t
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g
th
e
F
OP
I
D
co
n
tr
o
ller
.
T
h
e
r
o
t
o
r
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r
r
en
t
w
as
c
o
n
tr
o
lled
in
t
h
e
s
ec
o
n
d
lo
o
p
.
Fig
u
r
e
1
0
g
iv
e
s
th
e
r
es
u
lt
s
o
f
ap
p
l
y
in
g
th
e
P
I
co
n
tr
o
ller
,
w
h
ile
F
ig
u
r
e
1
1
illu
s
tr
ates
t
h
e
r
esu
l
t
o
f
i
m
p
le
m
en
t
in
g
th
e
FOP
I
D
co
n
tr
o
ller
.
T
h
er
e
w
a
s
n
o
d
if
f
er
e
n
ce
b
et
w
ee
n
u
s
i
n
g
t
h
e
P
I
o
r
FOP
I
D
co
n
tr
o
ller
s
w
h
i
le
m
i
n
i
m
izi
n
g
th
e
e
r
r
o
r
f
u
n
ctio
n
o
f
th
e
co
n
tr
o
l
lo
o
p
th
at
w
as
r
esp
o
n
s
ib
le
f
o
r
th
e
g
r
id
s
id
e
in
v
er
ter
.
Kee
p
in
g
t
h
e
DFI
G
ter
m
i
n
al
v
o
lta
g
e
w
ith
in
t
h
e
allo
w
ab
le
li
m
its
w
a
s
th
e
m
a
in
d
u
t
y
o
f
th
at
i
n
v
er
ter
.
T
h
er
ef
o
r
e
,
Fig
u
r
e
1
2
in
tr
o
d
u
ce
s
t
h
e
o
u
tp
u
t v
o
lta
g
e
o
f
th
e
DFI
G
u
n
it f
o
r
b
o
t
h
co
n
t
r
o
ller
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
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8708
C
u
ck
o
o
s
ea
r
ch
a
lg
o
r
ith
m
b
a
s
ed
fo
r
tu
n
n
in
g
b
o
th
P
I
a
n
d
F
OP
I
D…
(
Mo
s
ta
fa
A
.
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l
-
Ga
b
a
la
w
y)
6327
Fro
m
t
h
e
co
m
p
ar
at
iv
e
an
al
y
s
i
s
o
f
t
h
e
r
es
u
lt
s
,
it
co
u
ld
b
e
n
o
ted
th
at
th
e
P
I
co
n
tr
o
ller
h
a
d
a
g
e
n
er
al
b
etter
p
er
f
o
r
m
a
n
ce
t
h
an
FO
P
I
D
co
n
tr
o
ller
f
o
r
th
e
p
itch
an
d
r
o
to
r
-
s
id
e
co
n
tr
o
l
lo
o
p
,
in
ad
d
itio
n
al
to
it
s
s
i
m
p
lic
it
y
.
I
n
co
n
tr
a
s
t,
FOP
I
D
co
n
tr
o
ller
w
as
th
e
b
est
f
o
r
th
e
g
r
id
-
s
id
e
co
n
tr
o
l
lo
o
p
.
T
h
ese
r
esu
lt
s
ar
e
m
ig
h
t
b
e
ab
le
to
in
tr
o
d
u
ce
t
h
at
t
h
e
P
I
co
n
tr
o
ller
co
u
ld
p
r
o
v
id
e
b
etter
r
esu
lt
s
t
h
an
th
e
FOP
I
D
co
n
tr
o
ller
,
w
h
ich
w
as
v
er
if
ied
i
n
a
p
r
ev
io
u
s
co
n
tr
o
l
m
o
d
el
[
3
1
]
.
B
ased
o
n
th
at
an
al
y
s
i
s
,
a
m
o
d
el
in
co
r
p
o
r
atin
g
a
co
m
b
i
n
ed
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
m
i
g
h
t b
e
s
u
g
g
es
ted
to
b
e
im
p
le
m
e
n
ted
in
ap
p
licatio
n
s
.
Fig
u
r
e
8
.
T
h
e
elec
tr
o
m
ec
h
a
n
ic
al
to
r
q
u
e
o
f
DFI
G
af
ter
ap
p
l
y
i
n
g
t
h
e
P
I
co
n
tr
o
ller
Fig
u
r
e
9
.
T
h
e
elec
tr
o
m
ec
h
a
n
ic
al
to
r
q
u
e
o
f
DFI
G
af
ter
ap
p
l
y
i
n
g
t
h
e
FOP
I
D
co
n
tr
o
ller
Fig
u
r
e
10
.
T
h
e
r
o
to
r
cu
r
r
en
t o
f
DFI
G
af
ter
ap
p
l
y
i
n
g
t
h
e
P
I
co
n
tr
o
ller
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
10
,
No
.
6
,
Dec
em
b
er
2
0
2
0
:
6
3
1
9
-
6
3
2
9
6328
Fig
u
r
e
11
.
T
h
e
r
o
to
r
cu
r
r
en
t o
f
DFI
G
af
ter
ap
p
l
y
i
n
g
t
h
e
FOP
I
D
co
n
tr
o
ller
Fig
u
r
e
12
.
DFI
G
ter
m
in
al
v
o
lt
ag
e
ap
p
l
y
in
g
b
o
th
P
I
an
d
FOP
I
D
co
n
tr
o
ller
s
6.
CO
NCLU
SI
O
N
A
d
etailed
m
o
d
el
f
o
r
t
h
e
DFI
G
h
a
s
b
ee
n
p
r
esen
ted
,
w
i
th
t
h
r
ee
m
ain
co
n
tr
o
l
lo
o
p
s
o
f
t
h
is
s
y
s
te
m
:
p
itch
co
n
tr
o
l
lo
o
p
,
r
o
to
r
-
s
id
e
co
n
tr
o
l
lo
o
p
,
an
d
g
r
id
-
s
id
e
co
n
tr
o
l
lo
o
p
.
T
h
e
C
SA
w
a
s
ap
p
lied
to
tu
n
e
th
e
g
ain
s
o
f
ea
ch
p
r
o
p
o
s
ed
co
n
tr
o
ller
.
T
h
e
er
r
o
r
f
u
n
ctio
n
w
a
s
m
i
n
i
n
ze
d
co
n
s
id
er
in
g
I
A
E
,
I
SE,
I
T
A
E
,
an
d
I
T
SE.
I
t
w
as
f
o
u
n
d
th
at
th
e
P
I
co
n
tr
o
ller
g
av
e
th
e
s
i
m
p
lest
a
n
d
th
e
m
o
s
t
ef
f
ec
tiv
e
r
e
s
p
o
n
s
e
f
o
r
th
e
p
it
ch
co
n
tr
o
l
lo
o
p
an
d
th
e
r
o
to
r
-
s
id
e
co
n
tr
o
l lo
o
p
w
h
i
le
th
e
FOP
I
D
co
n
tr
o
ller
g
a
v
e
t
h
e
les
s
er
r
o
r
s
f
o
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id
-
s
id
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co
n
tr
o
l lo
o
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.
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o
th
co
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tr
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s
h
ad
th
e
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a
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f
f
ec
t
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ter
m
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v
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lta
g
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as
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id
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co
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tr
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lo
o
p
.
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t
m
i
g
h
t
b
e
co
n
cl
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d
ed
th
at
a
m
o
d
el
co
n
s
id
er
in
g
a
co
m
b
in
at
io
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o
f
b
o
th
co
n
tr
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ller
s
co
u
ld
b
e
im
p
le
m
e
n
ted
in
f
u
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e
ap
p
licatio
n
s
.
ACK
NO
WL
E
D
G
E
M
E
NT
S
T
h
is
r
esear
ch
w
as
f
u
n
d
ed
b
y
th
e
Dea
n
s
h
ip
o
f
Scie
n
ti
f
ic
R
esear
ch
a
t
P
r
in
ce
s
s
N
o
u
r
ah
b
in
t
A
b
d
u
lr
a
h
m
an
U
n
i
v
er
s
it
y
t
h
r
o
u
g
h
t
h
e
Fas
t
-
tr
ac
k
R
e
s
ea
r
ch
F
u
n
d
i
n
g
P
r
o
g
r
am
.
RE
F
E
R
E
NC
E
S
[1
]
Ja
so
n
H.
L
a
k
s,
L
u
c
y
Y.
P
a
o
,
a
n
d
A
lan
D.
W
rig
h
t,
“
Co
n
tr
o
l
o
f
W
in
d
T
u
rb
in
e
s:
P
a
st,
P
re
se
n
t,
a
n
d
F
u
tu
re
,
”
Ame
ric
a
n
Co
n
tro
l
C
o
n
fer
e
n
c
e
,
p
p
.
2
0
9
6
-
2
1
0
3
,
2
0
0
9
.
[2
]
F
.
W
u
,
X
.
-
P
.
Zh
a
n
g
,
K.
G
o
d
f
re
y
a
n
d
P
.
Ju
,
“
S
m
a
ll
sig
n
a
l
sta
b
il
it
y
a
n
a
l
y
sis
a
n
d
o
p
ti
m
a
l
c
o
n
tro
l
o
f
a
w
in
d
tu
rb
in
e
w
it
h
d
o
u
b
ly
f
e
d
in
d
u
c
ti
o
n
g
e
n
e
ra
t
o
r,
”
IET
Ge
n
e
r.
T
ra
n
sm
.
Distrib
.
,
v
o
l.
1
,
n
o
.
5
,
p
p
.
7
5
1
-
7
6
0
,
2
0
0
7
.
[3
]
Ju
n
y
e
n
t
-
F
e
rré
,
A
.
,
e
t
al
.
,
“
M
o
d
e
li
n
g
a
n
d
c
o
n
tr
o
l
o
f
th
e
d
o
u
b
ly
fe
d
in
d
u
c
ti
o
n
g
e
n
e
ra
to
r
w
in
d
t
u
rb
i
n
e
,”
S
imu
la
ti
o
n
M
o
d
e
ll
in
g
Pra
c
ti
c
e
a
n
d
T
h
e
o
ry
,
v
o
l.
1
8
,
n
o
.
9
,
p
p
.
1
3
6
5
-
1
3
8
1
,
2
0
1
0
.
[4
]
O.
Ba
ra
m
b
o
n
e
s,
J.
G
o
n
z
a
lez
d
e
D
u
ra
n
a
,
M.
De
la S
e
n
,
“
Ro
b
u
st S
p
e
e
d
Co
n
tr
o
l
f
o
r
a
V
a
riab
le
S
p
e
e
d
W
in
d
T
u
rb
in
e
,
”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
I
n
n
o
v
a
ti
v
e
c
o
mp
u
ti
n
g
,
In
f
o
rm
a
ti
o
n
a
n
d
C
o
n
tro
l,
v
o
l
.
8
,
n
o
.
1
1
,
p
p
.
7
6
2
7
-
7
6
4
0
,
2
0
1
2
.
[5
]
M
a
n
a
le
Bo
u
d
e
rb
a
la,
e
t
a
l.
,
“
Dire
c
t
a
n
d
in
d
irec
t
v
e
c
to
r
c
o
n
tr
o
l
o
f
a
d
o
u
b
ly
fe
d
in
d
u
c
t
io
n
g
e
n
e
ra
to
r
b
a
se
d
in
a
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
s
y
ste
m
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
Co
mp
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
)
,
v
o
l.
9
,
n
o
.
3
,
p
p
.
1
5
3
1
-
1
5
4
0
,
2
0
1
8
.
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