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u
r
e
3
)
.
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h
e
d
y
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a
m
ic
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a
v
io
r
o
f
th
e
g
en
er
ato
r
ca
n
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e
r
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esen
ted
b
y
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e
f
o
llo
w
in
g
eq
u
at
io
n
:
w
f
T
T
dt
dw
J
m
em
e
(
6
)
W
h
er
e
Jt
is
th
e
r
o
tatio
n
al
m
o
m
en
t
o
f
in
er
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o
f
t
h
e
r
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e
g
e
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er
ato
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k
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m
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e
an
g
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lar
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ed
/
s
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e
is
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h
e
m
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h
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ica
l
to
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q
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e
ap
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to
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s
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in
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m
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o
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ato
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in
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Fig
u
r
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3
.
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ch
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n
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2
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2
.
DF
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G
M
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g
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DFI
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m
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R
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f
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tr
o
m
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g
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ield
is
o
b
tain
ed
[
9
]
:
T
h
e
s
tato
r
:
(
7
)
T
h
e
r
o
to
r
:
(
8
)
T
h
e
eq
u
atio
n
s
o
f
f
lo
w
a
n
d
af
te
r
th
e
s
i
m
p
l
if
icatio
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ar
e:
(
9
)
A
l
s
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r
th
e
r
o
to
r
an
d
in
th
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s
a
m
e
w
a
y
ar
e:
(
10
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
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8
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8
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I
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&
Dr
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,
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9
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2
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J
u
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2
0
1
8
:
527
–
535
530
Do
u
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l
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Fed
I
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d
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c
tio
n
Ge
n
er
ato
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m
o
d
el
o
f
t
h
e
lan
d
m
ar
k
P
ar
k
in
t
h
e
f
o
r
m
o
f
s
ta
te:
W
h
er
e:
is
th
e
d
is
p
er
s
io
n
co
e
f
f
icien
t.
T
h
e
ex
p
r
ess
io
n
o
f
th
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e
o
f
t
h
e
DFI
G
in
r
ef
er
en
ce
P
ar
k
[
1
0
]
.
T
h
e
g
en
er
al
f
o
r
m
o
f
elec
tr
o
m
ag
n
etic
to
r
q
u
e
i
s
:
(
1
1
)
2
.
3
.
P
o
w
er
M
o
delin
g
DF
I
G
2
.
3
.
1
.
M
o
delin
g
o
f
ph
a
s
e
re
ct
if
ier
dio
des
I
f
w
e
n
e
g
lect
t
h
e
ef
f
ec
t o
f
e
n
cr
o
ac
h
m
e
n
t,
th
e
r
ec
ti
f
ier
o
u
tp
u
t
v
o
ltag
e
w
i
ll b
e
d
ef
in
ed
as
f
o
ll
o
w
i
n
g
:
(
12
)
2
.
3
.
2
.
M
o
delin
g
o
f
DC
bu
s
T
o
r
ed
u
ce
th
e
r
ip
p
le
o
f
th
e
v
o
ltag
e
s
o
u
r
ce
ad
d
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g
a
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a
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s
f
ilter
L
C
T
h
eir
o
p
er
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n
is
g
o
v
er
n
ed
b
y
t
h
e
f
o
llo
w
in
g
eq
u
atio
n
s
:
(1
3
)
2
.
3
.
3
.
VDC
Ass
o
cia
t
io
n t
o
D
F
I
G
W
e
w
ill
h
av
e
t
h
e
f
o
llo
w
in
g
s
y
s
te
m
:
(
1
4
)
I
n
o
u
r
ca
s
e,
th
e
co
n
tr
o
l
o
f
t
h
e
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w
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h
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o
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ter
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er
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ed
b
y
u
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o
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th
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m
m
a
n
d
m
o
d
u
latio
n
o
r
P
W
M
p
u
ls
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w
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th
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3.
M
AXI
M
U
M
P
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WE
R
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XT
RACT
I
O
N
T
E
CH
NI
Q
U
E
T
h
e
g
o
al
o
f
th
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(
MP
PT
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s
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eg
y
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s
to
p
ick
u
p
t
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m
a
x
i
m
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m
p
o
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er
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r
o
m
th
e
w
i
n
d
;
it
i
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v
o
lv
e
s
th
e
f
o
llo
w
in
g
o
f
t
h
e
p
o
w
er
c
u
r
v
e
s
h
o
w
n
in
F
ig
u
r
e
4
,
g
iv
e
n
b
y
i
n
eq
u
atio
n
(
1
5
)
:
3
1
1
()
2
opt
o
p
t
p
o
p
t
P
C
A
V
(
15
)
Evaluation Warning : The document was created with Spire.PDF for Python.
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P
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w
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&
Dr
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8
694
Ma
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C
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h
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in
V
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(
H.
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eri
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531
Fig
u
r
e
4
.
MP
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an
d
p
o
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i
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f
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n
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n
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n
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h
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tr
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p
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y
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ittl
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y
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tate.
4.
AP
P
L
I
CA
T
I
O
N
V
E
C
T
O
R
CO
NT
RO
L
WI
T
H
T
H
E
O
R
I
E
N
T
A
T
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F
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ST
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T
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W
e
co
n
s
id
er
th
e
DFI
G
w
o
r
k
s
in
h
y
p
er
s
y
n
ch
r
o
n
o
u
s
m
o
d
e,
th
e
p
r
in
cip
le
is
to
d
ir
ec
t
t
h
e
s
tato
r
f
lu
x
alo
n
g
t
h
e
ax
i
s
o
f
t
h
e
r
o
tatin
g
f
r
a
m
e
[
9
]
.
So
w
e
h
av
e:
an
d
w
e
h
a
v
e:
R
e
latio
n
s
b
et
w
ee
n
cu
r
r
en
t stato
r
an
d
r
o
to
r
cu
r
r
en
ts
:
T
h
e
tech
n
ical
g
u
id
a
n
ce
o
f
s
ta
t
o
r
f
lu
x
is
ap
p
l
y
i
n
g
o
n
th
e
co
u
p
le
b
ec
o
m
e:
(1
6
)
I
f
n
e
g
lecti
n
g
t
h
e
r
esi
s
ta
n
ce
o
f
th
e
s
tato
r
w
i
n
d
in
g
R
_
S,
v
o
ltag
e
ex
p
r
ess
io
n
s
b
ec
o
m
e:
(1
7
)
I
f
n
e
g
lecti
n
g
t
h
e
r
esi
s
ta
n
ce
o
f
th
e
s
tato
r
w
i
n
d
in
g
R
_
S,
v
o
ltag
e
ex
p
r
ess
io
n
s
b
ec
o
m
e:
(1
8
)
(
19
)
Fro
m
th
i
s
eq
u
atio
n
,
w
e
ca
n
w
r
ite
th
e
eq
u
atio
n
s
li
n
k
in
g
t
h
e
s
t
ato
r
cu
r
r
en
ts
to
th
e
r
o
to
r
cu
r
r
en
ts
:
(2
0
)
R
elatio
n
s
b
et
w
ee
n
t
h
e
s
ta
to
r
an
d
r
o
to
r
cu
r
r
en
ts
p
o
w
er
s
:
(2
1
)
T
h
e
ad
ap
tatio
n
o
f
th
ese
eq
u
ati
o
n
s
ax
i
s
s
y
s
te
m
c
h
o
s
en
a
n
d
th
e
s
i
m
p
li
f
y
in
g
as
s
u
m
p
tio
n
s
m
a
d
e
in
th
i
s
ca
s
e
g
i
v
en
:
(
2
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
2
,
J
u
n
e
2
0
1
8
:
527
–
535
532
B
y
r
ep
lacin
g
t
h
e
s
tato
r
cu
r
r
en
t
s
b
y
th
eir
v
alu
e
s
w
e
g
e
t th
e
e
x
p
r
ess
io
n
s
:
(2
3
)
R
elatio
n
s
b
et
w
ee
n
r
o
to
r
an
d
r
o
to
r
cu
r
r
en
ts
ten
s
io
n
s
:
On
e
co
u
ld
ex
p
r
es
s
th
e
r
o
to
r
v
o
ltag
es d
ep
en
d
in
g
o
n
r
o
to
r
cu
r
r
en
ts
,
w
e
ca
n
w
r
ite
:
(2
4
)
I
n
s
tead
y
s
tate,
th
e
ter
m
s
i
n
v
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lv
in
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er
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at
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e
s
d
is
ap
p
ea
r
,
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e
ca
n
w
r
i
te:
(2
5
)
Vec
to
r
co
n
tr
o
l in
s
tato
r
w
i
n
d
p
o
w
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s
y
s
te
m
b
a
s
ed
o
n
a
P
I
c
o
n
tr
o
ller
[
13
,1
4
]:
4
.
1
.
Dire
ct
Vec
t
o
r
Co
ntr
o
l
T
h
is
co
n
tr
o
l
m
o
d
e
en
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u
r
e
s
p
r
o
p
er
d
ec
o
u
p
lin
g
b
et
w
ee
n
f
l
u
x
an
d
to
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q
u
e
b
u
t
th
e
p
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le
m
t
h
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d
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ad
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an
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y
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s
e
n
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o
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.
W
e
n
eg
lect
t
h
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ter
m
s
o
f
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et
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n
t
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s
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o
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lip
.
W
e
ar
e
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ettin
g
as s
h
o
w
n
in
F
ig
u
r
e
5
.
Fig
u
r
e
5
.
B
lo
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r
a
m
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f
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e
d
ir
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t c
o
n
tr
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l
4
.
2
.
Vec
t
o
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co
ntr
o
l indi
re
ct
ly
T
h
e
f
lo
w
is
co
n
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lled
in
o
p
en
lo
o
p
.
I
t
is
n
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t
m
ea
s
u
r
ed
o
r
esti
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ted
.
T
h
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q
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an
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v
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r
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en
t)
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s
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f
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t
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eq
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o
f
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e
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e
tr
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h
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late:
(2
6
)
T
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e
Fig
u
r
e
6
s
h
o
w
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is
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y
s
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m
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
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lec
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t
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SS
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8
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8
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in
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ir
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n
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h
o
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t p
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r
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in
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ir
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o
l
w
it
h
p
o
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T
h
e
F
ig
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r
e
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s
h
o
w
n
t
h
e
m
et
h
o
d
o
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n
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o
l
w
it
h
p
o
w
er
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I
n
t
h
is
m
et
h
o
d
,
th
e
is
o
latio
n
is
ca
r
r
ied
o
u
t
at
th
e
o
u
tp
u
ts
o
f
t
h
e
cu
r
r
e
n
t r
eg
u
lato
r
s
r
o
to
r
w
it
h
a
r
etu
r
n
o
f
t
h
e
s
y
s
te
m
.
5.
RE
SU
L
T
S
T
o
ev
alu
ate
a
n
d
tes
t
t
h
e
i
n
d
ir
ec
t
co
n
tr
o
l
tec
h
n
iq
u
e
w
it
h
p
o
w
er
lo
o
p
o
f
ac
ti
v
e
a
n
d
r
ea
cti
v
e
p
o
w
er
b
y
th
e
P
I
co
n
tr
o
ller
s
,
a
s
i
m
u
latio
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w
as
p
er
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o
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m
ed
u
n
d
er
th
e
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A
T
L
A
B
/
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m
u
li
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k
.
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n
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h
i
s
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s
e,
th
e
g
a
in
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o
f
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h
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P
I
co
n
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o
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s
ar
e
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ased
to
m
e
th
o
d
o
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w
h
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ase
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o
n
th
e
co
m
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t o
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d
w
er
e
r
ef
i
n
ed
af
ter
s
i
m
u
latio
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:
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r
th
e
p
o
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er
lo
o
p
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7
5
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7
5
; K
i =
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3
5
4
.
5
5
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r
th
e
cu
r
r
en
t lo
o
p
: k
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p
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5
.
7
5
; K
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3
5
4
.
5
5
.
Fig
u
r
e
8
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Stato
r
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r
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en
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Fig
u
r
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o
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w
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n
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r
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1
1
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o
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SS
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ar
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W
r
an
d
W
r
w
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th
MP
P
T
6.
DIS
CU
SS
I
O
N
W
e
o
b
tain
ed
g
o
o
d
r
esu
lts
in
d
y
n
a
m
ic
h
an
d
li
n
g
a
n
d
r
esp
o
n
s
e
to
r
eg
u
latio
n
s
i
m
p
o
s
ed
an
d
r
ea
ctiv
e
p
o
w
er
.
T
h
e
f
l
u
ct
u
atio
n
s
in
t
h
e
p
o
w
er
d
u
e
to
t
h
e
P
W
M
i
n
v
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ter
an
d
t
h
e
d
ep
en
d
e
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ce
o
f
t
h
e
s
e
p
o
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er
s
s
lip
.
T
h
e
f
i
g
u
r
e
7
an
d
8
s
h
o
w
n
th
e
r
es
u
l
ts
o
f
t
h
e
s
tato
r
cu
r
r
e
n
t a
n
d
r
o
to
r
cu
r
r
en
t t
h
at
h
a
v
e
th
e
s
a
m
e
p
ac
es
w
it
h
t
h
e
tr
e
n
d
o
f
th
e
w
i
n
d
an
d
th
e
p
o
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.
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e
s
in
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s
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m
p
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n
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a
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n
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t
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g
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ter
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s
p
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s
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ee
d
.
7.
CO
NCLU
SI
O
N
T
h
is
p
ap
er
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r
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t
th
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m
o
d
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h
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m
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te
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f
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tr
ib
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ted
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tr
icit
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d
if
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er
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s
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p
r
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d
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th
is
e
n
er
g
y
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n
t
h
e
s
ec
o
n
d
p
ar
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w
e
h
a
v
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u
n
th
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m
ax
i
m
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m
p
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tr
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h
n
iq
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e
in
th
e
o
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e
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in
d
;
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s
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et
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d
p
r
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d
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th
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ax
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ated
p
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p
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er
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t
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th
e
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r
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s
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f
f
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ti
v
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n
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s
o
f
th
e
ap
p
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co
n
tr
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NUM
E
N
CL
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URE
DFI
G
Do
u
b
l
y
Fed
I
n
d
u
c
tio
n
Ge
n
er
at
o
r
ρ
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ir
d
en
s
it
y
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
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8
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r
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d
,
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k
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n
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(
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σ
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=
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/ L
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θr
(
θs)
P
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s
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(
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tato
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)
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r
(
ω
s)
elec
tr
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s
p
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d
r
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(
s
tato
r
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Ω
Me
ch
an
ical
s
p
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d
g
Slip
f
Fric
tio
n
J
I
n
er
tia
P
Nu
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s
P
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ra
m
et
er
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o
f
s
y
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t
e
m
:
R
=3
5
.
2
5
m
;
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9
0
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;
J
=0
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1
Kg
.
m
2
.
Vs=
2
2
0
/3
8
1
;
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/3
1
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f=
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0
Hz;
f
r
=
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Hz.
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3
;
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0
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=
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-
3
F;
=
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0
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=
85
;
E=
2
2
0
V.
RE
F
E
R
E
NC
E
S
[1
]
A
.
H
a
rro
u
z
,
A
.
Be
n
a
ti
a
ll
a
h
,
O.
Ha
rro
u
z
,
"
M
o
d
e
li
n
g
o
f
s
m
a
ll
w
i
n
d
e
n
e
rg
y
b
a
se
d
o
f
P
M
S
G
in
so
u
th
o
f
A
lg
e
ria"
,
IEE
E
Ex
p
l
o
re
,
S
e
c
o
n
d
I
n
tern
a
ti
o
n
a
l
S
y
m
p
o
siu
m
o
n
En
v
ir
o
n
m
e
n
t
-
F
rien
d
ly
En
e
rg
ies
a
n
d
A
p
p
li
c
a
ti
o
n
s
(EF
EA
2
0
1
2
)
,
No
rth
u
m
b
rie Un
iv
e
rsit
y
,
UK
.
p
p
.
1
9
1
–
1
9
5
,
2
0
1
2
.
[2
]
A
.
H
a
rro
u
z
,
A
.
B
e
n
a
ti
a
ll
a
h
,
O.
Ha
rro
u
z
.
“
El
e
c
tri
c
Co
n
tro
l
a
n
d
M
e
teo
ro
l
o
g
ica
l
V
a
li
d
a
ti
o
n
o
f
S
e
n
so
rs
in
Dy
n
a
m
ic
M
e
terin
g
S
y
ste
m
o
f
F
lu
id
s”
,
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
P
o
w
e
r
El
e
c
tr
o
n
ics
a
n
d
Driv
e
S
y
ste
m
(IJP
EDS
),
IS
S
N:
2
0
8
8
-
8
6
9
4
,
Vo
l.
(
3
)
N
o
.
4
,
De
c
2
0
1
3
,
p
p
.
4
5
0
-
4
5
8
.
[3
]
Ha
c
h
e
m
i
G
lao
u
i,
Ha
rro
u
z
A
b
d
e
lk
a
d
e
r,
Is
m
a
il
M
e
s
sa
o
u
d
i,
Ha
m
id
S
a
a
b
,
“
M
o
d
e
li
n
g
o
f
W
in
d
En
e
rg
y
o
n
Iso
late
d
A
re
a
”
,
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Driv
e
S
y
st
e
m
(IJP
EDS
)
,
1
0
.
1
1
5
9
1
/i
j
p
e
d
s.v
4
i2
.
4
8
5
9
,
IS
S
N:
2
0
8
8
-
8
6
9
4
,
Vo
l.
(4
)
N
o
.
2
,
JU
IN 2
0
1
4
,
p
p
.
2
7
4
-
2
8
0
.
[4
]
A
.
M
irec
k
i
"
Co
m
p
a
ra
ti
v
e
c
h
a
in
s
o
f
e
n
e
rg
y
d
e
d
ica
ted
to
a
sm
a
ll
w
i
n
d
tu
r
b
in
e
c
o
n
v
e
rsio
n
stu
d
y
"
T
h
e
sis
in
E
lec
tri
c
a
l
En
g
in
e
e
rin
g
L
a
b
o
ra
to
ry
a
n
d
In
d
u
strial
El
e
c
tro
n
ics
T
h
e
ENS
EE
IHT
,
Un
iv
e
rsity
o
f
T
o
u
lo
u
se
A
p
ril
5
,
2
0
0
5
.
[5
]
L.
Ha
m
z
a
o
u
i
,
"
M
o
d
e
li
n
g
th
e
d
u
a
l
a
s
y
n
c
h
ro
n
o
u
s
m
a
c
h
in
e
su
p
p
ly
f
o
r
u
se
a
s
w
in
d
tu
rb
in
e
,
"
M
a
g
ister
T
h
e
sis
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Na
ti
o
n
a
l
T
e
c
h
n
ica
l
Un
iv
e
rsit
y
,
2
0
/0
1
/2
0
0
8
.
[6
]
S.
El
A
i
m
a
n
i
,
B.
F
ra
n
c
is
F
.
M
in
n
e
,
B.
Ro
b
y
n
s,
"
Co
m
p
a
riso
n
a
n
a
ly
sis
o
fc
o
n
tro
l
str
u
c
tu
re
s
f
o
r
v
a
ria
b
le
sp
e
e
d
w
in
d
tu
rb
i
n
e
"
,
P
ro
c
e
e
d
i
n
g
s o
f
CES
A
,
2
0
0
3
,
L
il
le,
F
ra
n
c
e
,
i
n
J
u
ly
2
0
0
3
.
[7
]
F.
Z.
A
ra
m
a
,
"
S
tu
d
y
a
n
d
Co
n
tro
l
o
f
a
s
y
n
c
h
ro
n
o
u
s
g
e
n
e
ra
to
r
f
o
r
t
h
e
p
ro
d
u
c
ti
o
n
o
f
w
in
d
e
n
e
rg
y
"
M
a
g
ister
th
e
sis
in
e
lec
tri
c
a
l
G
e
n
ie,
Na
ti
o
n
a
l
T
e
c
h
n
i
c
a
l
Un
iv
e
rsit
y
o
f
Ora
n
,
A
l
g
e
ria,
in
2
0
1
3
[8
]
S
lam
a
El
M
a
g
n
e
t
,
"
M
o
d
e
li
n
g
Diff
e
r
e
n
t
Ae
o
li
a
n
T
e
c
h
n
o
l
o
g
ies
In
teg
ra
ted
in
to
a
n
e
t
w
o
rk
Av
e
ra
g
e
T
e
n
sio
n
,
"
T
h
e
S
c
h
o
o
l
o
f
Do
c
to
ra
l
T
h
e
sis
[9
]
R.
A
b
d
e
ss
m
e
d
M
r.
Ka
d
jo
u
j
;
"
El
e
c
tri
c
a
l
M
a
c
h
in
e
s M
o
d
e
ll
i
n
g
"
,
Un
iv
e
rsit
y
P
re
ss
o
f
Ba
tn
a
,
A
lg
e
ri
a
1
9
9
7
.
[1
0
]
V
.
P
a
u
l
-
Et
ien
n
e
,
"
Ord
e
r
N
o
n
-
L
in
e
a
r
o
f
A
s
y
n
c
h
ro
n
o
u
s
M
a
c
h
i
n
e
Du
a
l
P
o
w
e
r"
,
P
h
D
i
n
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Na
ti
o
n
a
l
P
o
ly
tec
h
n
ic In
sti
tu
te o
f
T
o
u
lo
u
se
,
F
ra
n
c
e
,
2
0
0
4
.
[1
1
]
A.
Ch
a
ib
a
,
"
Ord
e
r
o
f
th
e
a
s
y
n
c
h
ro
n
o
u
s
m
a
c
h
in
e
h
a
s
d
u
a
l
p
o
w
e
r
b
y
te
c
h
n
iq
u
e
s
o
f
a
rti
f
icia
l
in
telli
g
e
n
c
e
,
"
T
h
e
sis
in
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Un
iv
e
rsit
y
o
f
Ba
tn
a
,
A
lg
e
ria,
in
2
0
1
0
.
[1
2
]
A
.
L
.
Ne
m
m
o
u
r
;
"
Co
n
tri
b
u
ti
o
n
t
o
th
e
V
e
c
to
r
Co
n
tr
o
l
o
f
As
y
n
c
h
ro
n
o
u
s
M
a
c
h
in
e
Du
a
l
P
o
w
e
r"
;
M
a
g
ister
th
e
sis
in
e
lec
tri
c
a
l
e
n
g
in
e
e
rin
g
,
Un
iv
e
rsit
y
o
f
Ba
tn
a
,
A
lg
e
ri
a
,
2
0
0
2
[1
3
]
A.
M
e
h
d
a
r
y
"
E
m
d
e
c
h
ian
e
a
w
in
d
e
n
e
rg
y
c
o
n
v
e
rsio
n
b
a
se
d
o
n
a
A
ER
OT
U
RBINE"
.
6
th
Da
y
s
o
f
P
h
D
stu
d
e
n
ts.
In
f
o
rm
a
ti
o
n
sc
ien
c
e
lab
o
ra
t
o
ry
a
n
d
L
S
IS
sy
ste
m
s.
Un
iv
e
rsit
y
o
f
S
t.
Je
ro
m
e
.
M
a
rse
il
le.
2
0
0
9
.
[1
4
]
H.
Be
c
h
e
ri
"
Co
n
tri
b
u
ti
o
n
t
o
t
h
e
se
n
so
rles
s
c
o
n
tro
l
a
n
d
m
a
x
i
m
u
m
p
o
we
r
se
a
r
c
h
o
f
a
w
in
d
c
o
n
v
e
rsio
n
c
h
a
in
"
M
a
g
ister
A
u
to
m
a
ti
c
M
e
m
o
r
y
,
U
n
iv
e
rsity
o
f
Be
c
h
a
r,
A
l
g
e
ria,
in
2
0
1
4
.
H.BE
CHERI
«
Co
n
tri
b
u
t
io
n
à
la
c
o
m
m
a
n
d
e
sa
n
s ca
p
teu
r
e
t
re
c
h
e
rc
h
e
d
e
m
a
x
i
m
u
m
d
e
p
u
issa
n
c
e
d
’u
n
e
c
h
a
in
e
d
e
c
o
n
v
e
rsio
n
é
o
li
e
n
n
e
»
M
é
m
o
ire
d
e
M
a
g
ister
e
n
A
u
to
m
a
ti
q
u
e
,
Un
iv
e
rsité d
e
Be
c
h
a
r,
A
lg
é
rie,
2
0
1
4
.
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