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[
1
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,
[
2
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t h
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3
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,
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4
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cc
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6
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[
3
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,
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5
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ir
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tr
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o
p
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ates
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[
7
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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[
9
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t
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[
10
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a
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b
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1
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an
d
w
h
ic
h
h
a
s
p
r
o
v
en
its
p
e
r
f
o
r
m
an
c
e
an
d
ef
f
i
c
i
en
cy
,
w
e
u
s
e
d
in
th
is
w
o
r
k
th
e
T
S
c
o
n
t
r
o
ll
e
r
a
n
d
w
e
a
p
p
l
i
e
d
th
e
t
h
e
o
r
y
o
f
L
y
a
p
u
n
o
v
s
t
a
b
il
i
ty
.
T
h
e
ai
m
o
f
t
h
e
co
n
tr
o
l
o
f
g
r
i
d
s
id
e
co
n
v
er
ter
(
GS
C
)
,
m
a
k
e
s
it
p
o
s
s
ib
le
to
co
n
tr
o
l
th
e
p
r
o
d
u
ctio
n
o
f
ac
tiv
e
an
d
r
ea
cti
v
e
p
o
w
er
as
w
ell
a
s
th
e
m
ai
n
te
n
an
ce
o
f
a
co
n
s
ta
n
t
v
o
lta
g
e
at
t
h
e
lev
el
o
f
th
e
D
C
b
u
s
[7
]
.
I
n
th
is
p
ar
t,
w
e
u
s
ed
th
e
clas
s
ic
al
p
r
o
p
o
r
tio
n
al
in
te
g
r
al
(
P
I
)
co
n
tr
o
ller
th
a
n
k
s
to
its
s
i
m
p
lic
it
y
,
s
o
t
w
o
co
n
tr
o
l
lo
o
p
s
h
av
e
b
ee
n
u
s
ed
i
n
th
is
s
ec
tio
n
,
an
e
x
ter
n
al
co
n
tr
o
l
lo
o
p
f
o
r
th
e
v
o
lta
g
e
o
f
t
h
e
D
C
b
u
s
,
a
n
d
an
i
n
ter
n
a
l
co
n
tr
o
l
lo
o
p
f
o
r
t
h
e
p
o
w
er
s
.
T
h
an
k
s
to
t
h
e
p
r
o
p
o
r
tio
n
alit
y
r
elatio
n
s
h
ip
b
et
w
ee
n
p
o
w
er
s
an
d
c
u
r
r
en
t
s
,
t
h
e
p
o
w
er
co
n
tr
o
l
is
b
r
o
u
g
h
t
to
a
cu
r
r
en
t
co
n
tr
o
l.
So
d
ec
o
u
p
lin
g
co
n
tr
o
l
o
f
d
ir
ec
t
an
d
q
u
ad
r
atu
r
e
cu
r
r
en
t
s
is
v
i
tal
in
o
r
d
er
to
co
n
tr
o
l sep
ar
etly
th
e
t
w
o
t
y
p
e
s
o
f
p
o
w
er
s
[7
]
.
T
h
e
m
ai
n
co
n
tr
ib
u
tio
n
i
n
t
h
i
s
p
ap
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n
s
is
ts
i
n
u
s
i
n
g
a
T
S f
u
zz
y
est
i
m
ato
r
a
n
d
a
T
S f
u
zz
y
co
n
tr
o
ller
.
T
h
e
f
u
zz
y
e
s
ti
m
ato
r
m
ak
e
s
it
p
o
s
s
ib
le,
f
r
o
m
an
y
v
al
u
e
o
f
t
h
e
w
i
n
d
s
p
ee
d
,
to
p
r
ed
ict
th
e
an
g
u
lar
s
p
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d
an
d
th
e
p
o
w
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n
v
er
ted
at
t
h
e
le
v
el
o
f
t
h
e
s
y
n
ch
r
o
n
o
u
s
g
e
n
er
ato
r
.
W
h
ile
t
h
e
T
S
f
u
zz
y
co
n
tr
o
ll
er
p
r
o
v
id
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an
g
u
lar
s
p
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d
co
n
tr
o
l,
th
e
elec
tr
ic
p
o
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er
as
w
ell
a
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th
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d
ir
ec
t a
n
d
q
u
ad
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r
e
cu
r
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en
ts
o
f
t
h
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s
y
n
ch
r
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n
o
u
s
g
en
er
ato
r
.
T
h
e
p
ap
e
r
is
s
tr
u
ctu
r
ed
as
s
h
o
w
n
in
:
T
h
e
s
ec
o
n
d
s
ec
tio
n
p
r
esen
ts
a
g
e
n
er
al
o
v
er
v
ie
w
o
f
th
e
W
E
C
C
a
n
d
m
o
d
el
s
ea
ch
co
m
p
o
n
e
n
t.
Sect
io
n
3
d
escr
ib
es
th
e
co
n
tr
o
ller
u
s
ed
f
o
r
ea
ch
p
ar
t
o
f
t
h
e
c
h
ain
.
T
h
e
r
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l
ts
o
f
s
i
m
u
lat
io
n
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e
g
i
v
en
i
n
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t
io
n
4
to
co
n
f
ir
m
ef
f
ec
ti
v
e
n
es
s
o
f
co
n
tr
o
ll
er
s
.
T
h
e
p
ap
er
is
clo
s
ed
b
y
a
co
n
cl
u
s
io
n
.
2.
W
I
ND
E
NE
RG
Y
CO
NVE
R
SI
O
N
CH
AIN B
AS
E
D
O
N
P
M
SG
T
h
e
w
i
n
d
en
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g
y
co
n
v
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c
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ain
(
W
E
C
C)
i
s
m
ad
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u
p
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f
t
w
o
p
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,
t
h
e
f
ir
s
t
is
d
e
f
in
ed
b
y
a
t
u
r
b
in
e,
a
g
en
er
ato
r
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d
a
r
ec
ti
f
ier
,
w
h
ile
t
h
e
s
ec
o
n
d
is
m
ad
e
u
p
o
f
a
DC
b
u
s
,
an
i
n
v
er
ter
an
d
a
f
il
ter
w
h
ic
h
i
s
co
n
n
ec
ted
to
th
e
g
r
id
.
T
h
e
co
n
v
er
s
io
n
p
r
in
c
ip
le
d
escr
ib
ed
ab
o
v
e
is
ill
u
s
tr
ated
b
y
t
h
e
F
i
g
u
r
e
1
.
Fig
u
r
e
1
.
Gen
er
al
s
tr
u
ct
u
r
e
o
f
w
i
n
d
en
er
g
y
co
n
v
er
s
io
n
ch
ai
n
2
.
1
.
Wind
t
urbin
e
m
o
deli
ng
T
h
e
tu
r
b
in
e
is
t
h
e
f
ir
s
t c
o
m
p
o
n
en
t o
f
th
e
W
E
C
C
,
th
e
la
tter
tr
an
f
o
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m
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h
e
co
n
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ae
r
o
d
y
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a
m
ic
p
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w
er
f
r
o
m
w
in
d
i
s
d
ef
in
ed
as [
12]
-
[
1
4
]
:
(
1
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W
h
er
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r
o
,
C
p
,
R
,
V
an
d
r
ep
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r
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it
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p
o
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,
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lad
e
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d
th
e
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i
n
d
s
p
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d
.
T
h
e
p
o
w
er
co
ef
f
icie
n
t i
s
ch
ar
ac
ter
ized
b
y
[
1
5
]
,
[
1
6
]
:
(
)
(
2
)
W
h
er
e
λ
i
is
d
escr
i
b
ed
b
y
as s
h
o
w
n
in
[
1
7
]
,
[
1
8
]
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
202
1
:
183
2
–
184
4
1834
(
3
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T
h
e
ex
p
r
ess
io
n
o
f
tip
s
p
ee
d
r
atio
λ
is
[
1
8
]
:
(
4
)
W
h
er
e,
Ω
r
ep
r
esen
ts
th
e
m
ec
h
an
ica
l
r
o
tatio
n
s
p
ee
d
.
T
h
e
o
v
er
all
m
ec
h
a
n
ical
d
y
n
a
m
ics
o
f
W
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C
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g
iv
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n
b
y
th
e
as s
h
o
w
n
in
[
1
5
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,
[
1
9
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:
(
5)
W
h
er
e
J
r
ep
r
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ts
th
e
g
lo
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al
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er
tia
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o
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e
n
t
w
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ep
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t
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r
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e
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th
e
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e
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r
in
er
tia
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d
t
h
e
g
ea
r
b
o
x
r
ed
u
ctio
n
.
2
.
2
.
P
M
SG
m
o
delin
g
T
h
e
tu
r
b
in
e
is
f
o
llo
w
ed
b
y
a
P
MSG.
Fro
m
t
h
is
m
ac
h
in
e,
w
e
o
b
tain
elec
tr
ical
e
n
er
g
y
.
T
h
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e
o
f
t
h
e
m
ac
h
in
e
i
n
t
h
e
d
-
q
r
o
tatin
g
f
r
a
m
e
is
e
x
p
r
ess
e
d
as [
20
]
:
(
6
)
Fo
r
th
e
P
MSG
w
e
co
n
s
id
er
th
at
[
10
]
:
(
7
)
So
,
(
8
)
T
h
e
d
y
n
a
m
ic
s
b
eh
a
v
io
r
o
f
th
e
P
MSG
ca
n
b
e
m
o
d
eled
b
y
t
h
e
as sh
o
w
n
o
f
s
tate
[
2
1
]
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̇
(
9
)
W
h
er
e
A
r
ep
r
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th
e
s
tate
m
atr
i
x
,
B
t
h
e
co
n
tr
o
l
v
ec
to
r
,
x
d
escr
ib
es
th
e
s
tate
v
ec
to
r
a
n
d
u
i
s
th
e
co
n
tr
o
l
in
p
u
t.
T
h
e
s
tate
v
ec
to
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an
d
th
e
co
n
tr
o
l in
p
u
t a
r
e
r
esp
ec
tiv
el
y
d
ef
in
ed
as:
]
,
]
(
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T
h
e
s
tate
m
atr
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A
i
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d
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t
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w
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e
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A
i
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(
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T
h
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T
S f
u
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o
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t
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y
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te
m
ca
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t
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r
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.
R
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f
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Th
en
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u
t
1
,
2
fo
r
i
(
10
)
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
Gen
era
to
r
a
n
d
g
r
id
s
id
e
c
o
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ter co
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o
l fo
r
w
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d
en
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co
n
ve
r
s
io
n
s
ystem
(
A
s
ma
To
u
n
s
i
)
1835
T
h
e
m
e
m
b
er
s
h
ip
f
u
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g
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f
o
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m
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w
h
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lin
ea
r
i
t
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s
p
r
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te
d
b
y
t
w
o
m
o
d
els:
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1
)
(1
2
)
T
h
e
T
S f
u
zz
y
m
o
d
el
ca
n
b
e
wr
itten
as
[
22]
,
[
2
3
]
:
̇
∑
(
)
(
)
(1
3
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W
h
er
e
,
r
is
th
e
r
u
le’
s
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u
m
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er
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s
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r
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o
r
r
u
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ef
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,
,
i =
1
,
…r
2
.
3
.
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rid sid
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inv
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o
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lin
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t
w
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p
ar
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o
f
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k
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ig
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2
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y
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h
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d
i
f
f
er
en
t e
q
u
at
i
o
n
s
[
2
4
]
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1
4
)
(
1
5
)
(
1
6
)
W
h
er
e
(V
g.
d
,
V
g.
q
)
ar
e
g
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(V
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ig
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ate
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g.
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ep
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3
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I
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P
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Dr
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694
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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
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
12
,
No
.
3
,
Sep
tem
b
er
202
1
:
183
2
–
184
4
1838
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e
t
h
at
as
s
h
o
w
n
i
n
(
39
)
is
t
h
e
s
u
m
o
f
t
w
o
ter
m
s
.
T
o
g
u
ar
an
tee
th
at
t
h
is
latter
is
n
e
g
ati
v
e.
E
ac
h
ter
m
m
u
s
t b
e
n
e
g
ati
v
e.
Ho
w
e
v
er
,
w
e
g
et
t
h
e
f
o
llo
w
i
n
g
eq
u
atio
n
s
w
h
ich
v
er
i
f
y
t
h
e
p
r
o
p
o
s
ed
th
eo
r
em
.
,
i=1
r
(
4
0
)
,
i<j
≤
r
(
4
1
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̇
̇
̇
(
4
2
)
So
,
̇
(4
3
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3
.
2
.
Co
ntr
o
ller
o
f
g
rid sid
e
co
nv
er
t
er
I
n
th
i
s
p
ar
t,
w
e
ar
e
in
ter
e
s
ted
to
co
n
tr
o
l
th
e
DC
v
o
lta
g
e
ac
r
o
s
s
DC
b
u
s
an
d
p
o
w
er
s
,
w
h
i
ch
w
ill
b
e
tr
an
s
m
et
ted
to
p
o
w
er
g
r
id
.
Acc
o
r
d
in
g
to
a
s
s
h
o
w
n
(
1
7
)
a
n
d
(
18
)
,
th
e
t
w
o
p
o
w
er
s
p
r
ev
io
u
s
l
y
d
ef
i
n
ed
ar
e
s
tr
o
n
g
l
y
co
u
p
led
,
w
h
ic
h
m
a
k
es
it
d
if
f
ic
u
lt
to
co
n
tr
o
l
th
e
m
in
d
ep
en
d
en
tl
y
.
Ho
w
e
v
er
,
it
is
n
ec
ess
ar
y
to
d
ec
o
u
p
le
th
e
m
.
Fo
r
th
is
,
w
e
c
h
o
o
s
e
to
alig
n
t
h
e
d
ir
ec
t
ax
is
co
m
p
o
n
e
n
t
o
f
th
e
g
r
id
v
o
lta
g
e
w
it
h
t
h
e
d
ir
ec
t
ax
i
s
o
f
th
e
f
ield
-
o
r
ien
ted
co
n
tr
o
l
f
r
a
m
e
an
d
w
e
k
ee
p
ze
r
o
in
g
th
e
co
m
p
o
n
e
n
o
f
g
r
id
v
o
ltag
e
a
lo
n
g
t
h
e
q
u
ad
r
atu
r
e
ax
is
[
25
].
(4
4
)
(4
5
)
T
h
er
ef
o
r
e,
th
e
p
o
w
er
s
eq
u
atio
n
s
b
ec
o
m
e
as
s
h
o
w
n
in
[
25
]:
(4
6
)
(4
7
)
T
h
er
ef
o
r
e,
th
e
e
x
p
r
ess
io
n
s
o
f
t
h
ese
t
w
o
p
o
w
er
s
ar
e
d
ec
o
u
p
le
d
as
s
h
o
w
n
(
4
6
)
an
d
(
4
7
)
.
T
h
e
cu
r
r
en
t
s
alo
n
g
t
h
e
d
ir
ec
t
an
d
q
u
ad
r
atu
r
e
ax
es
all
o
w
to
co
n
tr
o
lr
esp
ec
tiv
el
y
th
e
ac
tiv
e
an
d
r
ea
ctiv
e
p
o
w
er
s
.
Fi
g
u
r
e
5
d
escr
ib
es
th
e
d
iag
r
a
m
s
tr
u
ct
u
r
e
o
f
th
e
c
u
r
r
en
t c
o
n
tr
o
ller
s
alo
n
g
t
h
e
d
an
d
q
ax
es.
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
Gen
era
to
r
a
n
d
g
r
id
s
id
e
c
o
n
ve
r
ter co
n
tr
o
l fo
r
w
in
d
en
erg
y
co
n
ve
r
s
io
n
s
ystem
(
A
s
ma
To
u
n
s
i
)
1839
(
a)
(
b
)
Fig
u
r
e
5
.
(
a)
c
u
r
r
en
ts
co
n
tr
o
l
alo
n
g
d
-
a
x
i
s
,
an
d
(
b
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cu
r
r
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ts
c
o
n
tr
o
l a
lo
n
g
q
-
a
x
i
s
T
h
e
tr
an
s
f
er
t
f
u
n
ctio
n
o
f
t
h
e
o
p
en
lo
o
p
is
g
iv
e
n
b
y
:
(
48
)
T
o
d
eter
m
i
n
e
th
e
p
ar
a
m
eter
s
o
f
th
e
P
I
co
n
tr
o
ller
,
w
e
u
s
e
t
h
e
p
o
le
co
m
p
en
s
atio
n
m
et
h
o
d
.
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w
e
v
er
,
w
e
c
h
o
o
s
e
An
d
So
,
th
e
tr
an
s
f
er
f
u
n
ctio
n
i
n
clo
s
ed
lo
o
p
b
ec
o
m
es a
s
:
(
49
)
w
h
er
e
,
W
e
p
r
o
p
o
s
e
a
P
I
t
y
p
e
co
n
tr
o
ller
to
k
ee
p
a
co
n
s
ta
n
t
DC
b
u
s
.
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n
t
h
is
ca
s
e,
t
w
o
co
n
tr
o
l
lo
o
p
s
ar
e
o
b
tain
ed
alo
n
g
th
e
d
ir
ec
t
ax
is
.
A
f
ir
s
t
in
ter
n
al
lo
o
p
f
o
r
co
n
tr
o
llin
g
t
h
e
cu
r
r
en
t
a
n
d
a
s
ec
o
n
d
ex
ter
n
al
lo
o
p
f
o
r
th
e
v
o
lta
g
e
o
f
D
C
b
u
s
.
I
n
th
is
ca
s
e,
th
e
r
ef
er
e
n
ce
cu
r
r
en
t
alo
n
g
t
h
e
d
ir
ec
t
ax
i
s
is
p
r
o
v
id
ed
b
y
t
h
e
o
u
tp
u
t
o
f
t
h
e
co
n
tr
o
ller
.
Fig
u
r
e
6
d
escr
ib
es t
h
e
g
e
n
er
al
s
tr
u
ctu
r
e
o
f
t
h
e
D
C
b
u
s
v
o
lta
g
e
co
n
tr
o
ller
.
Fig
u
r
e
6
.
Gen
er
al
s
tr
u
ct
u
r
e
f
o
r
DC
b
u
s
co
n
tr
o
l
T
h
e
cu
r
r
en
t
tr
an
s
f
er
f
u
n
ctio
n
r
ep
r
esen
ts
a
f
ir
s
t
o
r
d
er
f
u
n
ct
io
n
,
w
h
er
e
1
.
Ho
w
e
v
er
,
w
e
ap
p
r
o
x
im
a
te
th
e
f
u
n
c
tio
n
to
a
u
n
i
t
g
ai
n
,
s
o
t
h
e
tr
an
s
f
er
f
u
n
ctio
n
o
f
o
p
en
lo
o
p
o
f
th
e
DC
b
u
s
v
o
lta
g
e
ca
n
b
e
w
r
itte
n
as:
(
5
0
)
T
h
e
tr
an
s
f
er
f
u
n
ctio
n
o
f
clo
s
e
d
lo
o
p
is
p
r
esen
ted
b
y
:
(
5
1
)
T
h
is
f
u
n
ctio
n
is
o
f
t
h
e
f
o
r
m
:
(
5
2
)
W
ith
ξ
d
escr
ib
es
th
e
d
am
p
in
g
f
ac
to
r
an
d
ω
0
r
ep
r
esen
ts
t
h
e
o
w
n
p
u
ls
at
io
n
o
f
th
e
s
y
s
te
m
.
I
n
th
is
w
o
r
k
ξ
=1
an
d
ω
0
=4
0
r
a
d
/s
.
Fin
all
y
,
w
e
o
b
tai
n
th
e
p
ar
a
m
e
ter
s
o
f
t
h
e
DC
b
u
s
co
n
tr
o
ller
:
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.
12
,
No
.
3
,
Sep
tem
b
er
202
1
:
183
2
–
184
4
1840
(5
3
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0
2
p
KC
(5
4
)
Fig
u
r
e
7
s
u
m
m
ar
izes
t
h
e
GS
C
co
n
tr
o
l
p
ar
t,
in
d
ee
d
,
th
e
m
ea
s
u
r
ed
cu
r
r
en
t
s
ar
e
co
m
p
ar
ed
to
th
eir
r
ef
er
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ce
s
.
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h
e
d
ir
ec
t
r
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er
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n
ce
c
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r
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t
is
o
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tai
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ed
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o
m
t
h
e
DC
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u
s
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tr
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ller
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wh
ile
th
e
q
u
ad
r
atu
r
e
r
ef
er
en
ce
cu
r
r
e
n
t
is
ze
r
o
to
o
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tain
ze
r
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r
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ctiv
e
p
o
w
er
.
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w
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P
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co
n
tr
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ller
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ar
e
p
r
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p
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ed
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o
n
e
f
o
r
d
ir
ec
t
cu
r
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en
t
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n
d
t
h
e
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er
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o
r
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u
a
d
r
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r
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h
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e
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to
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t
w
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n
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h
e
tw
o
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i
n
all
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o
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v
o
ltag
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an
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tr
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f
o
r
m
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tain
th
e
m
o
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u
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v
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g
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w
h
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h
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i
ll
b
e
co
m
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w
ith
a
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r
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is
i
s
t
h
e
p
r
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cip
le
o
f
p
u
ls
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w
id
t
h
m
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.
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r
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Gr
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4.
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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
Gen
era
to
r
a
n
d
g
r
id
s
id
e
c
o
n
ve
r
ter co
n
tr
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l fo
r
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A
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2
7
0
.
7
4
2
5
;
1
3
1
.
1
0
6
3
1
.
0
4
9
7
5
.
7
1
6
3
]
K
4
= [
1
.
1
2
9
5
0
.
0
0
8
9
-
0
.
0
1
8
0
;
-
0
.
0
0
8
7
1
.
0
4
9
7
5
.
7
1
6
3
]
T
h
e
p
ar
am
eter
s
o
f
t
h
e
P
I
co
n
tr
o
ller
s
h
av
e
b
ee
n
c
h
o
s
e
n
as:
Fo
r
th
e
cu
r
r
en
t
s
:
K
p
=0
.
0
5
an
d
K
i
=1
0
Fo
r
th
e
DC
b
u
s
v
o
lta
g
e:
K
p
=0
.
8
an
d
K
i
=1
6
T
h
e
r
ea
l
w
in
d
s
p
ee
d
ca
n
tak
e
an
y
v
al
u
e,
f
o
r
th
i
s
w
o
r
k
w
e
ch
o
s
e
a
s
s
h
o
w
n
i
n
c
u
r
v
e
Fi
g
u
r
es
8
to
10.
T
h
e
p
o
w
er
co
ef
f
ic
ien
t
r
ea
ch
e
s
its
m
a
x
i
m
u
m
a
n
d
it
is
m
ai
n
tai
n
ed
at
th
is
v
a
lu
e
d
esp
ite
th
e
ch
a
n
g
e
o
f
w
i
n
d
s
p
ee
d
as
g
iv
e
n
i
n
th
e
F
i
g
u
r
e
9
.
T
h
is
co
ef
f
icie
n
t
g
u
ar
an
tees
t
h
e
ex
tr
ac
tio
n
o
f
th
e
o
p
tu
m
u
m
p
o
w
er
as
d
escr
ib
ed
in
F
ig
u
r
e
10
,
i
n
f
ac
t
t
h
e
p
o
w
e
r
is
m
ai
n
tai
n
ed
at
t
h
e
m
a
x
i
m
u
m
v
al
u
e
f
o
r
th
e
t
w
o
v
al
u
es
o
f
th
e
w
i
n
d
t
h
a
n
k
s
to
th
e
b
est v
a
lu
e
o
f
p
o
w
er
co
ef
f
i
cien
t
.
T
h
e
an
g
u
lar
s
p
ee
d
is
g
i
v
en
b
y
F
i
g
u
r
e
11
.
I
t
is
clea
r
th
at
t
h
e
m
ea
s
u
r
ed
an
g
u
lar
s
p
ee
d
f
o
llo
w
s
t
h
e
r
ef
er
en
ce
a
n
g
u
lar
s
p
ee
d
ev
e
n
w
h
e
n
ch
a
n
g
in
g
t
h
e
w
i
n
d
s
p
ee
d
.
T
h
e
ev
o
lu
t
io
n
i
n
th
e
b
e
h
av
io
r
o
f
th
e
cu
r
r
e
n
ts
alo
n
g
th
e
a
x
es
q
an
d
d
is
p
r
es
en
ted
i
n
F
ig
u
r
es
1
2
an
d
1
3
.
I
t
is
clea
r
th
at
t
h
e
c
u
r
v
e
s
o
b
tai
n
ed
b
y
t
h
e
co
n
tr
o
ller
f
o
llo
w
t
h
e
r
e
f
er
en
ce
c
u
r
v
e
s
.
I
n
f
ac
t,
t
h
e
c
u
r
r
en
t
o
b
tai
n
ed
al
o
n
g
th
e
q
-
a
x
is
is
n
ea
r
to
its
r
ef
er
en
ce
in
th
e
t
w
o
w
i
n
d
in
ter
v
als.
A
l
s
o
,
th
e
c
u
r
r
en
t a
lo
n
g
th
e
d
-
ax
is
is
n
ea
r
to
ze
r
o
in
b
o
th
in
ter
v
al
s
.
Fig
u
r
e
1
4
d
e
m
o
n
s
tr
ate
s
t
h
at
t
h
e
v
o
ltag
e
ac
r
o
s
s
t
h
e
D
C
b
u
s
is
co
n
t
in
u
o
u
s
a
n
d
p
r
ac
ticall
y
co
n
s
ta
n
t
d
esp
ite
th
e
ch
a
n
g
e
o
f
t
h
e
w
i
n
d
s
p
ee
d
.
T
h
e
v
o
ltag
e
v
alu
e
f
o
l
lo
w
s
it
s
r
ef
er
en
ce
.
Fi
g
u
r
es
1
5
an
d
1
6
d
escr
ib
e
th
e
o
b
tain
ed
cu
r
r
en
t
s
alo
n
g
a
x
es
d
-
q
o
f
t
h
e
p
o
w
er
g
r
id
s
id
e,
t
h
ese
cu
r
r
en
ts
ar
e
n
ea
r
to
t
h
e
r
ef
er
en
ce
o
n
es.
T
h
e
d
-
ax
is
c
u
r
r
en
t
f
o
llo
w
s
it
s
r
ef
er
e
n
ce
w
it
h
a
s
m
all
o
v
er
s
h
o
o
t
w
h
en
c
h
an
g
i
n
g
th
e
w
i
n
d
s
p
ee
d
.
A
ls
o
,
t
h
e
cu
r
r
en
t
alo
n
g
q
-
a
x
i
s
co
n
v
er
g
e
to
ze
r
o
.
Fig
u
r
e
1
7
r
ep
r
esen
ts
th
e
c
u
r
r
e
n
ts
o
b
tai
n
ed
at
t
h
e
o
u
tp
u
t
o
f
t
h
e
f
ilter
.
T
h
ese
c
u
r
r
en
ts
ar
e
th
r
ee
-
p
h
ase,
b
alan
ce
d
an
d
o
f
f
s
et
b
y
2
*
π
/3
.
T
h
eir
am
p
lit
u
d
e
is
i
n
f
lu
e
n
ce
d
b
y
t
h
e
ch
a
n
g
e
o
f
th
e
w
i
n
d
s
p
ee
d
,
in
f
ac
t
t
h
e
y
h
av
e
th
e
s
a
m
e
ap
p
ea
r
an
ce
,
an
d
th
is
is
clar
i
f
ied
i
n
F
ig
u
r
e
1
8
w
h
ic
h
w
e
zo
o
m
ed
i
n
f
o
r
t
h
e
t
w
o
w
i
n
d
i
n
ter
v
a
ls
to
s
h
o
w
t
h
e
a
m
p
lit
u
d
e
o
f
t
h
e
cu
r
r
en
t in
t
h
e
s
e
t
w
o
i
n
ter
v
als.
Fig
u
r
e
1
9
r
ep
r
esen
ts
th
e
v
o
lta
g
es o
b
tai
n
ed
at
t
h
e
o
u
tp
u
t o
f
t
h
e
f
ilter
.
T
h
ese
v
o
ltag
e
s
ar
e
t
h
r
ee
p
h
ases
,
b
alan
ce
d
an
d
o
f
f
s
et
b
y
2
*
π
/3
an
d
t
h
eir
a
m
p
l
itu
d
e
i
s
co
n
s
t
an
t
d
esp
ite
t
h
e
c
h
a
n
g
e
o
f
t
h
e
w
in
d
s
p
ee
d
,
th
is
is
clar
if
ied
i
n
F
ig
u
r
e
20
.
Fi
g
u
r
e
19
r
ep
r
esen
ts
t
h
e
v
o
l
tag
e
s
o
b
t
ain
ed
at
th
e
o
u
tp
u
t o
f
t
h
e
f
ilter
.
T
h
ese
v
o
lta
g
es
ar
e
th
r
ee
p
h
ases
,
b
alan
ce
d
an
d
o
f
f
s
et
b
y
2
*π
/3
an
d
th
eir
a
m
p
li
tu
d
e
is
co
n
s
ta
n
t
d
esp
ite
th
e
c
h
an
g
e
o
f
t
h
e
w
in
d
s
p
ee
d
,
th
is
is
clar
i
f
ied
in
F
ig
u
r
e
20
.
Fig
u
r
es
2
1
an
d
2
2
d
e
m
o
n
s
tr
ate
th
at
t
h
e
t
w
o
p
o
w
er
s
p
r
ev
io
u
s
l
y
d
ef
in
ed
f
o
llo
w
th
eir
r
e
f
e
r
en
ce
s
.
I
n
f
ac
t,
t
h
e
ac
ti
v
e
p
o
w
er
i
s
n
ea
r
t
o
its
r
e
f
er
en
ce
w
i
th
a
f
air
l
y
s
m
all
d
ela
y
w
h
ile
t
h
e
r
ea
cti
v
e
p
o
w
er
is
p
r
ac
ticall
y
ze
r
o
.
T
h
e
tr
ac
k
i
n
g
o
f
p
o
w
er
s
t
o
th
eir
r
e
f
er
en
ce
s
is
d
u
e
to
th
e
p
r
o
p
o
r
ti
o
n
alit
y
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
c
u
r
r
en
t
s
an
d
th
e
p
o
w
er
s
an
d
co
n
f
ir
m
s
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
co
n
tr
o
ll
er
ap
p
lied
f
o
r
c
o
n
tr
o
l o
f
th
e
cu
r
r
en
ts
.
Fig
u
r
e
8
.
E
v
o
lu
tio
n
o
f
w
i
n
d
s
p
ee
d
Fig
u
r
e
9
.
P
o
w
er
co
ef
f
icie
n
t r
esp
o
n
s
e
Fig
u
r
e
10
.
E
v
o
lu
tio
n
o
f
p
o
w
er
Fig
u
r
e
1
1
.
A
n
g
u
lar
s
p
ee
d
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