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1
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[
6]
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F
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2
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7]
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F
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2.
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r
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S
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c
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2
pr
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
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N
:
2088
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8
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I
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t
J
P
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w
E
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c
&
Dr
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y
s
t
,
Vo
l
.
12
,
No.
2
,
J
un
e
202
1
:
103
4
–
104
4
1036
s
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d
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2.
M
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WI
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CONV
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YST
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1.
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[
8]
-
[
10]
.
3
1
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PV
(
1)
wh
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[
1]
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[
8]
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(
0
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2
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(
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3
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M
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[
9
]
.
F
i
gur
e
3
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11]
.
F
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3.
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2.
DF
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ge
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r
a
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s
pe
c
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ll
y
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he
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t
J
P
o
w
E
l
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c
&
Dr
i
S
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s
t
I
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N:
2088
-
8
694
P
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4
[
12]
.
By
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s
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a
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[
3]
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13]
,
[
14]
.
Vo
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r
oto
r
.
.
rd
rd
sd
rq
r
rq
q
r
s
iM
i
Li
Li
M
(
9)
T
h
e
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
t
or
que
e
x
pr
e
s
s
i
o
n
as
a
f
u
n
c
t
i
o
n
of
t
h
e
r
o
tor
f
l
u
x
a
n
d
t
he
r
o
tor
c
ur
r
e
n
t
s
is
g
i
ve
n
by
[
15]
.
p(I
)
3
2
e
m
r
q
r
d
r
d
r
q
CI
(
9)
By
us
i
ng
t
h
e
f
u
n
da
m
e
n
t
a
l
e
qua
t
i
o
n
of
d
y
na
m
i
c
s
,
we
de
duc
e
[
16]
.
mec
m
e
m
m
e
c
v
d
Cf
J
dt
C
(
10)
W
h
e
r
e
C
m
,
f
v
a
n
d
J
a
r
e
r
e
s
pe
c
t
i
v
e
ly
t
h
e
m
e
c
h
a
ni
c
a
l
t
or
que
a
ppl
i
e
d
to
t
h
e
DF
I
G,
t
h
e
vi
s
c
o
us
f
r
i
c
t
i
o
n
a
n
d
t
h
e
w
i
n
d
t
ur
bi
n
e
i
ne
r
t
i
a
.
F
i
gur
e
4
.
d
-
q
e
qui
v
a
l
e
n
t
c
i
r
c
u
i
t
of
t
h
e
DF
I
G
in
s
y
n
c
h
r
o
n
o
us
c
oo
r
di
n
a
t
e
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2088
-
8
694
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
,
Vo
l
.
12
,
No.
2
,
J
un
e
202
1
:
103
4
–
104
4
1038
2.
3.
Vol
t
age
c
on
ve
r
t
e
r
m
od
e
l
in
g
I
n
t
hi
s
s
u
bs
e
c
t
i
o
n
,
t
h
e
I
G
B
T
t
r
a
n
s
i
s
t
o
r
s
a
r
e
c
o
n
s
i
de
r
e
d
a
s
i
d
e
a
l
s
w
i
t
c
h
e
s
.
C
o
n
s
e
que
n
t
l
y
,
o
n
e
c
a
n
de
r
i
v
e
t
h
e
r
e
l
a
t
i
o
n
s
hi
p
b
e
t
we
e
n
c
o
n
t
r
o
l
c
o
nf
i
gur
a
t
i
o
n
s
a
n
d
t
h
e
e
l
e
c
t
r
i
c
a
l
v
o
l
t
a
ge
s
o
f
t
h
e
A
C
a
n
d
DC
s
i
de
s
o
f
t
h
e
i
nv
e
r
t
e
r
.
T
h
e
ge
n
e
r
a
l
t
o
p
o
l
o
g
y
o
f
t
h
e
t
wo
-
l
e
v
e
l
v
o
l
t
a
ge
s
o
ur
c
e
i
nv
e
r
t
e
r
(
VSI
)
i
s
s
h
o
w
n
i
n
F
i
gur
e
5
e
a
c
h
i
nve
r
t
e
r
a
r
m
c
o
n
t
a
i
ns
t
w
o
e
l
e
c
t
r
o
ni
c
s
w
i
t
c
h
e
s
I
GB
T
[
25
]
.
All
t
h
e
i
n
f
o
r
m
a
t
i
o
n
m
e
n
t
i
o
ne
d
a
r
e
s
u
m
m
a
r
i
z
e
d
i
n
t
h
e
m
a
t
h
e
m
a
t
i
c
a
l
m
o
de
l
[
17]
-
[
19
]
.
1
2
3
2
1
1
1
2
1
3
1
1
2
ar
C
br
cr
V
S
U
VS
S
V
W
h
e
r
e
,
V
ar
, V
br
,
a
n
d
V
cr
a
r
e
a
r
e
t
h
e
o
u
t
pu
t
v
o
l
t
a
ge
s
of
t
h
e
i
nv
e
r
t
e
r
.
It
is
u
n
de
r
li
ne
d
h
e
r
e
t
h
a
t
t
h
e
s
w
i
t
c
he
s
s
t
a
t
e
s
can
be
r
e
pr
e
s
e
n
t
e
d
by
t
h
r
e
e
B
o
o
l
e
a
n
va
r
i
a
bl
e
s
s
uc
h
a
s
,
a)
S
i
=
l
if
̄
is
c
l
o
s
e
d
a
n
d
is
o
pe
n
,
a
n
d
b)
S
i
=
0
if
̄
is
o
pe
n
a
n
d
is
c
l
o
s
e
d.
W
i
t
h
(
=
1
,
2
,
3
).
F
i
gur
e
5.
S
i
m
p
l
if
i
e
d
t
o
p
o
l
o
gy
of
t
h
e
t
w
o
-
l
e
ve
l
VSI
3.
DP
C
CONT
ROL
S
T
RA
T
E
GY
3.
1.
DP
C
p
r
in
c
ip
a
l
T
h
e
DPC
s
t
r
a
t
e
gy
a
im
s
to
di
r
e
c
t
l
y
c
o
n
t
r
o
l
t
h
e
s
t
a
tor
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
of
t
h
e
DF
I
G
[
24]
.
It
is
b
a
s
e
d
on
t
h
e
c
ha
n
ge
of
t
h
e
r
o
tor
f
l
u
x
v
e
c
t
o
r
in
t
h
e
d
-
q
c
oo
r
di
n
a
t
e
s
.
T
hi
s
c
a
n
be
do
n
e
by
c
o
n
t
r
oll
i
ng
t
h
e
v
o
l
t
a
ge
v
e
c
t
o
r
at
t
h
e
o
u
tpu
t
of
t
h
e
r
oto
r
s
i
de
c
o
nv
e
r
t
e
r
(
R
S
C
)
.
As
m
e
n
t
i
o
n
e
d
b
e
f
o
r
e
t
h
e
c
o
n
tr
o
l
of
I
GB
T
s
ge
n
e
r
a
t
e
s
t
h
e
de
s
i
r
e
d
v
o
l
t
a
ge
v
e
c
t
or
[
13]
,
[
20
]
.
To
s
e
l
e
c
t
t
h
e
a
ppr
o
p
r
i
a
t
e
s
t
a
t
e
of
t
h
e
c
o
nv
e
r
t
e
r
'
s
s
w
i
t
c
h
e
s
.
T
h
e
i
ns
t
a
n
t
a
ne
o
us
s
e
c
t
o
r
z
o
n
e
of
t
h
e
r
otor
’
s
ve
c
t
or
f
l
u
x
,
t
h
e
e
r
r
o
r
b
e
t
we
e
n
t
h
e
r
e
a
l
a
c
t
i
v
e
po
we
r
a
n
d
t
h
e
r
e
f
e
r
e
n
c
e
o
n
e
a
n
d
t
h
e
e
r
r
o
r
b
e
t
we
e
n
t
h
e
e
s
t
i
m
a
t
e
d
r
e
a
c
t
i
v
e
po
we
r
a
n
d
i
t
s
r
e
f
e
r
e
n
c
e
m
u
s
t
be
c
a
l
c
u
l
a
t
e
d.
T
w
o
hy
s
t
e
r
e
s
i
s
c
o
m
pa
r
a
t
o
r
s
a
r
e
us
e
d
to
gua
r
a
n
t
e
e
t
h
a
t
b
ot
h
p
o
we
r
s
a
r
e
c
o
nf
i
ne
d
b
e
t
we
e
n
t
h
e
pr
e
de
f
i
ne
d
uppe
r
a
n
d
t
h
e
l
o
we
r
b
o
un
d
s
.
T
h
e
s
e
o
pe
r
a
t
i
n
g
s
t
e
ps
a
r
e
i
ll
us
t
r
a
t
e
d
m
o
r
e
c
l
e
a
r
ly
in
F
i
gur
e
6
[
21]
.
F
i
gur
e
6.
De
t
a
i
l
e
d
s
c
h
e
m
e
of
t
h
e
DPC
s
t
r
a
t
e
gy
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
I
S
S
N:
2088
-
8
694
P
e
r
f
or
manc
e
analys
is
and
e
nhanc
e
me
nt
of
dir
e
c
t
p
o
w
e
r
c
ontr
ol
of
DF
I
G
bas
e
d
…
(
M
ohame
d
A
mine
B
e
nis
s
)
1039
3.
2.
Ac
t
ive
an
d
r
e
ac
t
ive
p
owe
r
s
f
o
r
m
u
l
at
ion
T
h
e
e
x
pr
e
s
s
i
o
n
of
t
h
e
r
oto
r
v
e
c
to
r
v
o
l
t
a
ge
can
be
f
o
r
m
u
l
a
t
e
d
as
[
13]
,
[
17]
.
(
j
2
/
3
(
j
2
/
3
))
1
2
3
(
3
/
2
)
)
(
S
S
S
rc
V
e
U
e
(
11)
F
i
gur
e
7
d
i
s
p
l
a
y
s
a
ll
po
s
s
i
b
l
e
o
r
i
e
n
t
a
t
i
o
n
s
o
f
t
h
e
vo
l
t
a
ge
a
pp
li
e
d
t
o
t
h
e
r
o
tor
.
I
t
i
s
n
o
t
i
c
e
d
t
h
a
t
t
h
e
r
e
a
r
e
e
i
g
h
t
d
i
f
f
e
r
e
n
t
v
o
l
t
a
ge
p
o
s
s
i
bil
i
t
i
e
s
t
wo
o
f
t
h
e
m
a
r
e
z
e
r
o
v
e
c
t
o
r
s
(
0
a
n
d
7
).
A
t
t
h
i
s
s
t
a
ge
,
we
e
s
t
a
bl
i
s
h
t
h
e
m
a
t
h
e
m
a
t
i
c
a
l
r
e
l
a
t
i
o
n
s
hi
p
b
e
t
we
e
n
r
oto
r
f
l
u
x
a
n
d
v
o
l
t
a
ge
i
n
t
h
e
d
-
q
r
e
f
e
r
e
n
c
e
f
r
a
m
e
.
rr
r
r
r
r
r
d
i
t
V
d
R
(
12)
F
o
r
t
h
e
s
a
ke
o
f
s
i
m
p
li
c
i
t
y
,
we
n
e
g
l
e
c
t
t
h
e
r
otor
r
e
s
i
s
t
a
n
c
e
f
o
r
t
h
e
hi
g
h
a
n
d
m
e
d
i
u
m
po
we
r
m
a
c
hi
ne
s
(
6)
.
r
r
r
r
d
dt
V
(
13)
Kn
o
w
i
n
g
t
h
a
t
b
o
t
h
s
i
m
u
l
a
t
i
o
n
p
l
a
t
f
o
r
m
s
a
n
d
e
l
e
c
t
r
o
ni
c
c
a
l
c
u
l
a
t
i
o
n
u
ni
t
s
wo
r
k
i
n
d
i
s
c
r
e
t
e
t
i
m
e
.
T
h
e
(
6)
n
e
e
ds
to
b
e
d
i
s
c
r
e
t
i
z
e
d.
T
h
e
r
e
f
o
r
e
,
a
ppl
yi
ng
t
hi
s
pr
o
c
e
s
s
to
(
6)
y
i
e
l
d
s
.
0
0
(
f
in
)
(
in
t)
T
r
r
rr
rr
V
(
14)
W
e
o
b
t
a
i
n
:
0
in
t
rr
rr
r
r
fin
VT
(
15)
T
h
e
(
16)
a
n
d
(
17
)
g
i
ve
t
h
e
e
x
pr
e
s
s
i
o
n
of
s
t
a
tor
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
s
in
t
h
e
d
-
q
r
e
f
e
r
e
n
c
e
f
r
a
m
e
,
r
e
s
pe
c
t
i
ve
ly
.
(V
)
3
2
s
s
d
s
d
s
d
s
q
V
P
I
I
(
16)
(V
)
3
2
s
s
d
s
d
s
d
s
q
V
Q
I
I
(
17)
Af
t
e
r
t
h
e
de
v
e
l
o
p
m
e
n
t
a
n
d
s
i
m
p
li
f
i
c
a
t
i
o
n
o
f
t
h
e
e
qua
t
i
o
n
s
m
e
n
t
i
o
n
e
d
b
e
f
o
r
e
,
we
c
a
n
o
b
t
a
i
n
t
h
e
r
e
s
u
l
t
s
[
13]
.
1
s
i
n
sr
PK
(
18)
23
c
o
s
sr
Q
K
K
(
19)
1
K
,
2
K
a
n
d
3
K
a
r
e
c
o
n
s
t
a
n
t
pa
r
a
m
e
t
e
r
s
of
a
ppr
o
pr
i
a
t
e
di
m
e
n
s
i
o
ns
.
It
is
r
e
m
a
r
ka
bl
e
t
h
a
t
c
h
a
n
g
i
ng
s
i
n
r
a
n
d
c
o
s
r
w
i
ll
i
n
f
l
ue
n
c
e
s
P
a
n
d
s
Q
.
F
i
gur
e
8
gr
a
p
hi
c
a
ll
y
e
x
p
la
i
ns
t
h
e
e
qua
t
i
o
n
s
.
It
c
l
e
a
r
ly
s
h
o
ws
h
o
w
t
h
e
r
oto
r
v
o
l
t
a
ge
v
e
c
t
or
can
m
o
d
i
f
y
t
h
e
d
i
r
e
c
t
i
o
n
a
n
d
m
a
g
ni
t
ude
of
t
h
e
r
otor
f
l
u
x
.
T
h
e
m
o
du
l
e
a
n
d
th
e
p
h
a
s
e
o
f
t
h
e
r
oto
r
f
l
u
x
i
n
t
h
e
d
-
q
r
e
f
e
r
e
n
c
e
f
r
a
m
e
a
r
e
pr
ovi
de
d
by
.
a
r
c
tan
rd
r
rq
(
19)
22
r
r
d
r
q
(
20)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2088
-
8
694
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
,
Vo
l
.
12
,
No.
2
,
J
un
e
202
1
:
103
4
–
104
4
1040
F
i
gur
e
7.
V
o
l
t
a
ge
v
e
c
t
o
r
s
de
l
i
ve
r
e
d
by
t
h
e
i
nve
r
t
e
r
F
i
gur
e
8.
Ve
c
to
r
di
a
gr
a
m
de
s
c
r
i
bi
ng
s
o
m
e
po
s
s
i
bil
i
t
i
e
s
f
o
r
c
h
a
n
g
i
ng
t
h
e
l
o
c
a
t
i
o
n
of
t
h
e
r
oto
r
f
l
u
x
3.
3.
Hys
t
e
r
e
s
is
p
owe
r
r
e
gu
l
at
o
r
s
M
a
ny
s
o
l
ut
i
o
n
s
o
f
f
e
r
t
h
e
po
s
s
i
bil
i
t
y
o
f
m
a
i
n
t
a
i
n
i
n
g
v
e
r
y
e
f
f
i
c
i
e
n
t
o
pe
r
a
t
i
o
n
o
f
t
h
e
D
F
I
G,
b
ut
a
m
o
n
g
t
h
e
m
,
t
h
e
us
e
o
f
t
wo
o
r
t
h
r
e
e
-
l
e
v
e
l
hy
s
t
e
r
e
s
i
s
r
e
g
u
l
a
t
o
r
s
r
e
m
a
i
ns
t
h
e
m
o
s
t
a
ppr
o
pr
i
a
t
e
c
h
o
i
c
e
f
o
r
c
o
n
t
r
o
l
l
i
ng
t
h
e
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
l
e
v
e
l
s
.
B
y
i
ns
e
r
t
i
n
g
t
h
e
s
e
c
o
m
pa
r
a
t
o
r
s
i
n
t
h
e
DPC
d
i
a
gr
a
m
,
w
e
gua
r
a
n
t
e
e
t
h
a
t
t
h
e
e
x
c
ha
n
ge
o
f
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
b
e
t
we
e
n
t
h
e
DF
I
G
a
n
d
t
h
e
gr
i
d
f
o
l
l
o
w
s
t
h
e
r
e
f
e
r
e
n
c
e
v
a
l
ue
s
.
He
n
c
e
,
t
h
e
s
e
l
e
c
t
i
o
n
o
f
a
r
oto
r
v
o
l
t
a
ge
v
e
c
to
r
m
us
t
r
e
duc
e
e
r
r
o
r
s
b
e
t
we
e
n
t
h
e
m
e
a
s
ur
e
d
a
n
d
t
h
e
r
e
f
e
r
e
n
c
e
po
we
r
s
(
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
)
a
n
d
c
o
nf
i
ne
t
h
e
m
b
e
t
we
e
n
t
h
e
hy
s
t
e
r
e
s
i
s
uppe
r
a
n
d
l
o
we
r
b
o
un
d
s
[
22]
[
9]
.
To
m
a
i
n
t
a
i
n
Q
s
b
e
t
we
e
n
t
h
e
de
s
i
r
a
bl
e
b
o
un
ds
,
we
c
h
o
o
s
e
a
t
w
o
-
l
e
v
e
l
hy
s
t
e
r
e
s
i
s
re
gu
l
a
t
or
a
s
de
p
i
c
t
e
d
i
n
F
i
gur
e
9
.
T
h
e
B
o
o
l
e
a
n
f
u
n
c
t
i
o
n
S
Q
i
n
c
r
e
a
s
e
Q
S
w
h
e
n
i
t
s
v
a
l
ue
is
e
qua
l
“
1
”
a
n
d
de
c
r
e
a
s
e
Q
S
o
t
h
e
r
w
i
s
e
.
He
r
e
a
r
e
t
h
e
i
ns
t
r
uc
t
i
o
n
s
t
h
a
t
c
o
n
t
r
o
l
t
h
e
b
e
h
a
vi
o
r
o
f
t
h
e
hy
s
t
e
r
e
s
i
s
r
e
gu
l
a
t
o
r
a
t
t
w
o
l
e
ve
l
s
.
1
00
01
0
QQ
Q
Q
Q
Q
Q
Q
QQ
if
Q
S
Q
if
Q
a
n
d
S
dt
Q
if
Q
a
n
d
S
dt
if
Q
S
(
21)
W
hil
e
t
o
c
o
n
tr
o
l
t
h
e
a
c
t
i
v
e
po
we
r
P
S
we
us
e
T
h
r
e
e
-
l
e
v
e
l
hy
s
t
e
r
e
s
i
s
r
e
gu
l
a
t
or
a
s
d
i
s
p
l
a
y
e
d
by
F
i
gu
r
e
10
.
I
n
t
hi
s
c
a
s
e
,
t
h
e
f
u
nc
t
i
o
n
S
P
c
a
n
t
a
ke
t
h
r
e
e
v
a
l
u
e
s
:
if
“
1”
i
nc
r
e
a
s
e
s
P
,
”
-
1”
de
c
r
e
a
s
e
s
P
,
a
n
d
“
0
”
t
o
h
o
l
d
P
S
.
T
h
e
a
l
go
r
i
t
hm
c
o
n
t
a
i
ns
t
h
e
i
n
s
t
r
uc
t
i
o
n
s
t
h
a
t
g
o
v
e
r
n
t
h
e
f
u
n
c
t
i
o
ni
ng
of
t
h
e
t
h
r
e
e
-
l
e
ve
l
:
1
0
0
0
0
0
1
1
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0
0
0
1
PP
PP
PP
pP
pP
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f
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f
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and
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dt
Q
i
f
P
and
S
dt
i
f
P
S
P
i
f
P
and
S
dt
P
i
f
P
and
S
dt
(
22)
F
i
gur
e
9.
Hy
s
t
e
r
e
s
i
s
r
e
a
c
t
i
v
e
po
we
r
c
o
n
t
r
o
l
l
e
r
.
F
i
gur
e
10.
Hy
s
t
e
r
e
s
i
s
a
c
t
i
v
e
po
we
r
c
o
n
t
r
o
l
l
e
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
I
S
S
N:
2088
-
8
694
P
e
r
f
or
manc
e
analys
is
and
e
nhanc
e
me
nt
of
dir
e
c
t
p
o
w
e
r
c
ontr
ol
of
DF
I
G
bas
e
d
…
(
M
ohame
d
A
mine
B
e
nis
s
)
1041
3.
4.
DP
C
S
wit
c
h
in
g
t
a
b
l
e
B
a
s
e
d
o
n
i
ns
t
a
n
t
a
ne
o
us
i
n
put
v
a
l
ue
s
s
uc
h
a
s
t
he
r
otor
f
l
u
x
v
e
c
t
or
s
e
c
to
r
a
n
d
t
h
e
s
t
a
t
e
o
f
t
h
e
hy
s
t
e
r
e
s
i
s
o
ut
pu
t
s
i
g
na
l
s
t
h
e
s
w
i
t
c
hi
ng
t
a
bl
e
s
e
l
e
c
t
s
t
h
e
n
e
x
t
r
otor
v
o
l
t
a
ge
v
e
c
t
o
r
to
ge
t
t
h
e
e
s
t
i
m
a
t
e
d
r
oto
r
f
l
u
x
(
T
a
bl
e
1
)
.
E
a
c
h
r
otor
v
o
l
t
a
ge
v
e
c
to
r
c
o
r
r
e
s
po
n
ds
to
a
s
pe
c
i
f
i
e
d
s
w
i
t
c
h
e
s
s
t
a
t
e
c
o
m
bi
na
t
i
o
n
o
f
t
h
e
R
S
C
[
23]
.
T
a
bl
e
1.
S
wi
t
c
hi
ng
t
a
bl
e
f
o
r
DPC
m
e
t
h
o
d
of
DF
I
G
S
e
c
t
o
r
N
1
[
330
◦
,30
◦
]
2
[
30
◦
,90
◦
]
3
[
90
◦
,150
◦
]
4
[
150
◦
,210
◦
]
5
[
210
◦
,270
◦
]
6
[
270
◦
,330
◦
]
Qs
Ps
V
o
lt
a
g
e
v
e
c
t
or
1
1
V
5
V
6
V
1
V
2
V
3
V
4
0
V
7
V
7
V
7
V
7
V
7
V
7
-
1
V
3
V
4
V
5
V
6
V
1
V
2
0
1
V
6
V
1
V
2
V
3
V
4
V
5
0
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7
V
7
V
7
V
7
V
7
V
7
-
1
V
2
V
3
V
4
V
5
V
6
V
1
V
0
=
[
0;
0;
0]
;
V
1
=
[
1;
0;
0
]
;
V
2
=
[
1;
1;
0
]
;
V
3
=
[
0;
1;
0
]
;
V
4
=
[
0;
1;
1
]
;
V
5
=
[
0;
0;
1]
;
V
6
=
[
1;
0;
1]
;
V
7
=
[
1;
1;
1]
;
4.
S
I
M
UL
AT
I
ON
T
a
bl
e
2
s
h
o
ws
i
n
de
t
a
i
l
s
t
h
e
D
F
I
G
pa
r
a
m
e
t
e
r
s
us
e
d
i
n
t
hi
s
s
im
u
l
a
t
i
o
n
.
I
n
t
hi
s
s
e
c
t
i
o
n
,
a
7.
5K
W
DF
I
G
h
a
v
e
b
e
e
n
s
i
m
u
l
a
t
e
d
by
M
A
T
L
A
B
/S
im
u
li
n
k.
I
n
o
r
de
r
to
o
b
s
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v
e
t
h
e
r
e
gu
l
a
t
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o
n
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e
h
a
vi
o
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o
f
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ur
s
y
s
t
e
m
F
i
gur
e
1
,
t
w
o
m
a
i
n
t
e
s
t
s
h
a
v
e
b
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n
a
pp
li
e
d,
a
)
f
i
xe
d
w
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n
d
pr
o
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il
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o
pe
r
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t
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n
m
o
de
a
n
d
b
)
a
l
e
a
t
o
r
y
w
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n
d
pr
o
f
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l
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w
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t
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M
P
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T
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n
tr
o
l
o
pe
r
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t
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de
.
T
a
bl
e
2.
S
i
m
u
l
a
t
i
o
n
s
e
t
t
i
n
gs
S
im
ul
a
te
d
D
F
I
G
pa
r
a
m
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t
e
r
s
R
a
te
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po
w
e
r
7.5kw
hub
he
ig
ht
43,5m
M
o
m
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of
in
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ti
a
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kg.m
2
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e
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90
=
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=
0
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081
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=
0
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62
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=
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078
,
=
2
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=
50
4.
1.
F
ixed
win
d
p
r
of
il
e
op
e
r
at
ion
m
od
e
(
t
e
s
t
a)
In
t
hi
s
f
i
r
s
t
t
e
s
t
,
a
f
i
x
w
i
nd
s
pe
e
d
is
a
pp
li
e
d
to
th
e
w
i
nd
t
ur
bi
ne
bl
a
de
s
.
It
ge
n
e
r
a
l
ly
c
o
ns
i
s
t
s
on
a
pp
l
yi
ng
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
s
t
e
ps
t
h
a
t
wi
l
l
he
l
p
us
c
h
e
c
k
i
ng
t
h
e
de
c
o
upl
i
ng
b
e
t
we
e
n
t
h
e
DF
I
G
t
w
o
po
we
r
s
.
F
i
gur
e
11
a
n
d
F
i
gur
e
12
s
h
o
ws
t
h
a
t
a
c
t
i
v
e
a
n
d
r
e
a
c
t
i
v
e
po
we
r
f
o
l
l
o
w
s
pe
r
f
e
c
t
l
y
t
h
e
r
e
f
e
r
e
n
c
e
o
n
e
s
.
F
o
r
F
i
gur
e
13
t
h
e
s
i
nus
o
i
da
l
wa
ve
f
o
r
m
of
t
h
e
s
t
a
tor
c
u
r
r
e
n
t
s
is
pr
e
s
e
n
t
e
d.
In
F
i
gur
e
14
de
p
i
c
t
s
t
h
e
va
r
i
a
t
i
o
n
of
t
h
e
m
e
c
h
a
ni
c
a
l
s
pe
e
d
v
e
r
s
us
t
i
m
e
.
It
t
r
a
c
ks
t
h
e
w
i
n
d
b
ut
w
i
t
h
a
de
l
a
y
w
hi
c
h
is
du
e
t
h
e
v
e
r
y
f
a
s
t
v
a
r
i
a
t
i
o
n
of
t
h
e
w
i
n
d
a
ga
i
ns
t
t
h
e
s
l
o
w
d
y
na
m
i
c
s
of
ge
n
e
r
a
t
or
.
F
i
gu
r
e
15
s
h
o
ws
t
h
e
c
ur
v
e
of
t
h
e
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
t
or
q
ue
of
t
h
e
DF
I
G.
T
h
e
l
a
t
t
e
r
f
o
l
l
o
ws
t
h
e
v
a
r
i
a
t
i
o
n
of
a
c
t
i
v
e
powe
r
.
F
i
gur
e
11.
P
r
o
f
i
l
e
of
t
h
e
s
t
a
tor
a
c
t
i
v
e
po
we
r
F
i
gur
e
12.
P
r
o
f
i
l
e
of
t
h
e
s
t
a
tor
r
e
a
c
t
i
v
e
po
we
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N
:
2088
-
8
694
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
,
Vo
l
.
12
,
No.
2
,
J
un
e
202
1
:
103
4
–
104
4
1042
F
i
gur
e
13.
S
t
a
tor
c
ur
r
e
n
t
v
e
r
s
us
t
i
m
e
F
i
gur
e
14.
Va
r
i
a
t
i
o
n
of
t
h
e
r
otor
s
pe
e
d
F
i
gur
e
15.
T
i
m
e
v
a
r
i
a
t
i
o
n
o
f
t
h
e
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
t
o
r
que
4.
2.
Al
e
at
o
r
y
win
d
p
r
of
i
l
e
wit
h
M
P
P
T
c
on
t
r
o
l
op
e
r
a
t
ion
m
od
e
(
t
e
s
t
b)
I
n
t
h
e
r
e
s
u
l
t
s
o
f
t
h
e
s
e
c
o
n
d
t
e
s
t
,
t
h
e
r
e
f
e
r
e
n
c
e
o
f
th
e
r
e
a
c
t
i
v
e
po
we
r
F
i
gur
e
17
i
s
s
e
t
z
e
r
o
to
e
n
s
ur
e
a
uni
t
po
we
r
f
a
c
t
or
i
n
t
h
e
s
t
a
to
r
s
i
d
e
a
n
d
t
o
o
p
t
i
m
i
z
e
t
h
e
qua
l
i
t
y
o
f
t
h
e
e
n
e
r
g
y
de
li
ve
r
e
d
to
t
h
e
gr
i
d.
W
hil
e
t
he
r
e
f
e
r
e
n
c
e
o
f
t
he
a
c
t
i
v
e
F
i
gur
e
18
po
we
r
m
a
ke
s
i
t
po
s
s
i
bl
e
t
o
ke
e
p
t
h
e
po
we
r
c
o
e
f
f
i
c
i
e
n
t
o
f
t
h
e
w
i
n
d
t
u
r
bi
ne
o
p
t
i
m
a
l
w
h
a
t
e
ve
r
t
h
e
w
i
nd
s
pe
e
d
F
i
gur
e
16,
t
he
s
e
r
e
s
u
l
t
s
a
r
e
o
b
t
a
i
n
e
d
t
h
a
n
ks
t
o
t
h
e
us
e
o
f
t
he
M
P
P
T
t
e
c
h
ni
que
.
I
n
F
i
gur
e
19
d
i
s
p
l
a
y
s
t
h
e
wa
v
e
f
o
r
m
o
f
s
t
a
to
r
c
ur
r
e
n
t
s
,
we
n
ot
i
c
e
t
ha
t
t
h
e
c
ur
r
e
n
t
m
a
g
ni
t
u
de
v
a
r
i
e
s
a
s
pr
e
d
i
c
t
e
d,
a
n
d
t
h
e
c
ur
r
e
n
t
f
r
e
que
n
c
y
i
s
r
e
a
s
o
n
a
bl
e
.
I
n
F
i
gur
e
20
e
xhi
bi
t
s
t
h
a
t
t
h
e
m
e
c
h
a
ni
c
a
l
s
p
e
e
d
f
o
l
l
o
ws
t
h
e
de
s
i
r
e
d
v
a
l
ue
c
o
m
put
e
d
ba
s
e
d
o
n
t
h
e
w
i
nd
s
p
e
e
d.
W
i
t
h
s
i
g
ni
f
i
c
a
n
t
v
a
r
i
a
t
i
o
ns
a
r
o
un
d
t
h
e
r
e
f
e
r
e
n
c
e
.
T
hi
s
i
s
b
e
c
a
us
e
o
f
t
h
e
f
a
s
t
v
a
r
i
a
t
i
o
n
s
o
f
t
h
e
w
i
n
d
w
h
e
n
w
e
c
o
m
pa
r
e
i
t
to
t
h
e
ge
n
e
r
a
t
or
dy
n
a
mi
c
.
F
o
r
t
h
e
(
F
i
gur
e
21)
s
h
o
ws
,
t
h
e
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
t
or
que
o
f
t
h
e
ge
n
e
r
a
t
or
v
a
r
i
e
s
a
c
c
o
r
d
i
n
g
to
t
h
a
t
o
f
t
h
e
t
u
r
bi
ne
t
h
a
t
i
s
a
f
u
nc
t
i
o
n
o
f
t
h
e
w
i
n
d
s
pe
e
d.
F
i
gur
e
16.
W
i
n
d
s
pe
e
d
pr
o
f
il
e
F
i
gur
e
17.
P
r
o
f
i
l
e
of
t
h
e
s
t
a
tor
r
e
a
c
t
i
v
e
po
we
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
P
o
w
E
l
e
c
&
Dr
i
S
y
s
t
I
S
S
N:
2088
-
8
694
P
e
r
f
or
manc
e
analys
is
and
e
nhanc
e
me
nt
of
dir
e
c
t
p
o
w
e
r
c
ontr
ol
of
DF
I
G
bas
e
d
…
(
M
ohame
d
A
mine
B
e
nis
s
)
1043
F
i
gur
e
18.
P
r
o
f
i
l
e
of
t
h
e
s
t
a
tor
a
c
t
i
v
e
po
we
r
F
i
gur
e
19.
S
t
a
tor
c
ur
r
e
n
t
v
e
r
s
us
t
i
m
e
F
i
gur
e
20.
T
i
m
e
v
a
r
i
a
t
i
o
n
of
t
h
e
r
otor
s
pe
e
d
F
i
gur
e
21.
T
i
m
e
v
a
r
i
a
t
i
o
n
of
t
h
e
e
l
e
c
t
r
o
m
a
g
n
e
t
i
c
to
r
que
5.
CONC
L
USI
ON
AN
D
F
UT
UR
E
WORK
I
n
t
hi
s
pa
pe
r
,
we
h
a
ve
pr
e
s
e
n
t
e
d
t
h
e
m
o
de
l
i
ng
o
f
a
w
i
n
d
t
ur
bi
n
e
a
n
d
a
do
ubl
y
f
e
d
i
n
duc
t
i
o
n
ge
n
e
r
a
t
o
r
DF
I
G.
T
h
e
n
,
t
h
e
DPC
c
o
n
t
r
o
l
s
t
r
a
t
e
gy
h
a
s
b
e
e
n
e
x
p
l
a
i
ne
d
i
n
de
t
a
i
l
.
Af
t
e
r
t
h
a
t,
t
h
e
s
i
m
u
l
a
t
i
o
n
r
e
s
u
l
t
s
de
m
o
n
s
t
r
a
t
e
t
h
e
e
f
f
e
c
t
i
v
e
n
e
s
s
o
f
t
h
e
DP
C
t
e
c
hni
que
.
One
c
a
n
n
o
t
i
c
e
t
h
a
t
t
h
e
po
we
r
r
i
pp
l
e
s
a
r
e
b
o
un
de
d
a
n
d
t
h
e
ge
n
e
r
a
t
e
d
po
we
r
t
r
a
c
ks
t
h
e
r
e
f
e
r
e
n
c
e
o
n
e
f
o
r
b
ot
h
t
h
e
s
t
e
p
t
h
e
a
l
e
a
t
or
y
w
i
nd
pr
o
f
il
e
s
.
A
s
a
pe
r
s
pe
c
t
i
ve
o
f
t
hi
s
wo
r
k,
we
w
i
ll
c
o
m
pa
r
e
t
he
pe
r
f
o
r
m
a
n
c
e
s
o
f
DPC
c
l
a
s
s
i
c
w
i
t
h
t
h
o
s
e
o
f
f
r
a
c
t
i
o
na
l
o
r
de
r
s
l
i
d
i
ng
m
o
de
b
a
s
e
d
DPC
c
o
n
t
r
o
l
by
s
im
u
l
a
t
i
o
n
a
n
d
h
a
r
dwa
r
e
i
m
p
l
e
m
e
n
t
a
t
i
o
n
.
RE
F
E
R
E
NC
E
S
[1
]
S.
Ben
e
l
g
h
a
l
i
,
M.
E.
H.
B
en
b
o
u
z
i
d
a
n
d
J.
F.
Ch
arp
en
t
i
e
r,
“
Co
m
p
ari
s
o
n
of
PMSG
an
d
D
F
I
G
fo
r
m
ari
n
e
c
u
rr
en
t
t
u
rb
i
n
e
ap
p
l
i
c
at
i
o
n
s
,
”
Th
e
X
I
X
In
t
er
n
a
t
i
o
n
a
l
Co
n
f
e
r
en
c
e
on
E
l
ect
r
i
c
a
l
M
a
c
h
i
n
es
-
ICE
M
2
0
1
0
,
Ro
me
,
2010,
p
p
.
1
-
6
,
D
O
I
:
1
0
.
1
1
0
9
/
I
CE
L
MA
C
H
.
2
0
1
0
.
5
6
0
8
1
1
8
.
[2
]
D.
Z
h
i
a
n
d
L.
X
u
,
“
D
i
r
ec
t
p
o
w
e
r
c
o
n
t
ro
l
of
D
F
I
G
w
i
t
h
c
o
n
s
t
an
t
s
w
i
t
c
h
i
n
g
fr
e
q
u
e
n
cy
an
d
i
m
p
ro
v
ed
t
ran
s
i
en
t
p
e
rfo
r
m
an
ce,
”
in
I
E
E
E
Tr
a
n
s
a
c
t
i
o
n
s
on
E
n
er
g
y
Co
n
v
er
s
i
o
n
,
vol.
22,
no.
1,
pp.
110
-
1
1
8
,
Marc
h
2007
,
D
O
I
:
1
0
.
1
1
0
9
/
I
CE
L
MA
C
H
.
2
0
1
0
.
5
6
0
8
1
1
8
.
[3
]
E
l
O
u
a
n
j
l
i
,
N
.
,
D
e
r
o
u
i
c
h
,
A
.
,
E
l
G
h
zi
za
l
,
A
.
,
C
h
e
b
ab
h
i
,
A
.
,
T
ao
u
s
s
i
,
M.
,
“
A
c
o
m
p
arat
i
v
e
s
t
u
d
y
b
e
t
w
ee
n
FO
C
an
d
D
T
C
co
n
t
ro
l
of
the
d
o
u
b
l
y
f
ed
i
n
d
u
c
t
i
o
n
m
o
t
o
r
(D
F
IM)
,
”
IE
E
E
In
t
er
n
a
t
i
o
n
a
l
Co
n
f
er
e
n
ce
In
E
l
ect
r
i
c
a
l
and
In
f
o
r
m
a
t
i
o
n
Tech
n
o
l
o
g
i
e
s
,
I
CE
I
T
,
pp.
1
-
6
,
D
O
I:
1
0
.
1
1
0
9
/
E
I
T
ec
h
.
2
0
1
7
.
8
2
5
5
3
0
2
.
[4
]
Mo
h
a
mme
d
T
ao
u
s
s
i
,
Mo
h
a
mmed
K
ar
i
m
,
Bad
r
e
B
o
s
s
o
u
fi
1
,
A
h
med
L
ag
r
i
o
u
i
,
an
d
M
o
h
a
mmed
El
Mah
f
o
u
d
,
“
T
h
e
fu
zz
y
c
o
n
t
ro
l
f
o
r
ro
t
o
r
fl
u
x
o
ri
e
n
t
at
i
o
n
of
the
d
o
u
b
l
e
-
f
ed
as
y
n
c
h
r
o
n
o
u
s
g
en
e
rat
o
r
d
ri
v
e
,
”
In
t
er
n
a
t
i
o
n
a
l
Jo
u
r
n
a
l
of
Co
m
p
u
t
er
s
&
Tech
n
o
l
o
g
y
,
vol
.
13
,
n
o
.
8,
pp.
4707
-
4
7
2
2
,
2
0
1
3
.
[5
]
O
u
an
j
l
i
,
N
.
E
.
,
D
e
ro
u
i
ch
,
A
.
,
G
h
zi
za
l
,
A
.
E
.
,
Mo
t
ah
h
i
r,
S.
,
C
h
e
b
ab
h
i
,
A
.
,
Mo
u
rab
i
t
,
Y
.
E
.
,
et
a
l
.
,
“
Mo
d
e
r
n
i
m
p
ro
v
eme
n
t
t
ec
h
n
i
q
u
e
s
of
d
i
r
ec
t
t
o
rq
u
e
c
o
n
t
ro
l
fo
r
i
n
d
u
c
t
i
o
n
m
o
t
o
r
d
r
i
v
e
s
:
a
r
e
v
i
ew
,
”
P
r
o
t
.
Co
n
t
r
o
l
M
o
d
.
P
o
w
er
S
ys
t
,
v
o
l
.
4,
n
o
.
1
,
136
-
1
4
7
,
D
O
I
:
1
0
.
1
1
8
6
/
s
4
1
6
0
1
-
0
1
9
-
0
1
2
5
-
5
.
[6
]
J
o
aq
u
í
n
G
o
n
zál
e
z
N
o
rn
i
e
l
l
a
,
J
o
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é
M.
Can
o
,
G
o
n
zal
o
A
l
o
n
s
o
O
r
c
aj
o
,
Carl
o
s
H.
Ro
j
as
,
J
o
aq
u
í
n
Fran
c
i
s
c
o
Ped
ra
y
e
s
,
an
d
Man
és
F.
Cab
an
as
,
“
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m
p
ro
v
i
n
g
the
d
y
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am
i
c
s
of
v
i
rt
u
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b
as
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d
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of
t
h
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ee
-
p
h
as
e
ac
t
i
v
e
rec
t
i
fi
e
rs
,
”
in
I
E
E
E
Tr
a
n
s
a
ct
i
o
n
s
on
I
n
d
u
s
t
r
i
a
l
E
l
ect
r
o
n
i
cs
,
vol.
61,
no.
1,
pp.
177
-
1
8
7
,
J
an
.
2
0
1
4
,
D
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6
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[7
]
S.
S.
L
ee
an
d
Y.
E.
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g
,
“
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ab
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b
as
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co
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d
d
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t
o
rt
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ag
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s
:
R
e
v
i
ew
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m
al
me
t
h
o
d
,
”
R
en
e
w
.
S
u
s
t
a
i
n
.
E
n
er
g
y
R
ev
.,
v
o
l
.
76,
pp.
51
-
6
1
,
2
0
1
7
.
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