I
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l J
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lect
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nics
a
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Driv
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y
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I
J
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DS)
Vo
l.
16
,
No
.
4
,
Dec
em
b
er
20
25
,
p
p
.
2
2
3
4
~
2
2
4
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I
SS
N:
2
0
8
8
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1
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1
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s
.
v
16
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i
4
.
p
p
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2
3
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2
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2
2234
J
o
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l ho
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e
:
h
ttp
:
//ij
p
e
d
s
.
ia
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co
m
Effec
t
o
f
the
a
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la
r offset
of t
he st
a
tor winding
s o
n
DSIM
performa
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F
a
t
ma
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o
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s
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Sa
la
h H
a
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LA
TA
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D
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p
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me
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t
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ticle
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R
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Ma
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2
6
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2
0
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5
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ev
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g
1
1
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2
,
2
0
2
5
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e
stu
d
y
o
u
tl
in
e
d
i
n
t
h
is
p
a
p
e
r
a
ims
to
a
n
a
l
y
z
e
th
e
e
ffe
c
t
o
f
th
e
d
iffere
n
t
d
isp
lac
e
m
e
n
t
a
n
g
les
b
e
twe
e
n
t
h
e
two
sta
to
r
win
d
in
g
s
o
n
th
e
p
e
rfo
r
m
a
n
c
e
o
f
a
d
u
a
l
sta
to
r
in
d
u
c
ti
o
n
m
o
t
o
r,
wh
ich
is
a
sq
u
irrel
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
r
wit
h
two
id
e
n
ti
c
a
l
win
d
in
g
s
in
i
ts
sta
to
r
.
Th
e
ra
ted
p
o
we
r
o
f
e
a
c
h
win
d
i
n
g
i
s
1
.
1
kW
a
n
d
fe
d
b
y
a
n
in
v
e
rter
o
p
e
ra
ti
n
g
wi
th
th
e
p
u
lse
wid
th
m
o
d
u
lati
o
n
tec
h
n
iq
u
e
.
T
h
e
a
n
a
l
y
ti
c
a
l
m
o
d
e
l
o
f
th
e
m
a
c
h
i
n
e
is
u
se
d
t
o
a
n
a
ly
z
e
its
c
h
a
ra
c
teristics
to
in
v
e
stig
a
te
th
e
i
m
p
a
c
t
o
f
th
e
d
isp
lac
e
m
e
n
t
a
n
g
les
b
e
twe
e
n
th
e
two
sta
to
r
win
d
in
g
s
.
A
sim
u
latio
n
p
ro
g
ra
m
fo
r
th
e
sy
ste
m
h
a
s
b
e
e
n
d
e
v
e
lo
p
e
d
u
si
n
g
M
ATLAB/S
im
u
li
n
k
.
S
imu
latio
n
re
su
lt
s
c
h
a
ra
c
teriz
in
g
t
h
e
c
o
m
p
o
rtme
n
t
o
f
t
h
is
m
a
c
h
in
e
fo
r
d
iffere
n
t
d
isp
lac
e
m
e
n
t
a
n
g
les
o
f
th
e
sta
to
r
win
d
i
n
g
s
s
h
o
w
t
h
a
t
t
h
e
to
r
q
u
e
p
u
lsa
ti
o
n
s
a
re
n
o
t
ice
a
b
ly
l
o
we
r
a
t
3
0
°
s
h
ift
th
a
n
i
n
th
e
o
th
e
r
tw
o
sc
e
n
a
rio
s
o
f
0
°
a
n
d
6
0
°
,
th
e
m
o
d
e
l
e
x
h
ib
i
ts
n
o
tew
o
rth
y
p
e
rfo
rm
a
n
c
e
s
a
t
th
is
sh
ift
.
T
h
e
t
o
rq
u
e
p
u
lsa
ti
o
n
s
a
re
n
o
ti
c
e
a
b
ly
lo
we
r
a
t
3
0
°
sh
ift
t
h
a
n
in
th
e
o
th
e
r
two
sc
e
n
a
rio
s
o
f
0
°
a
n
d
6
0
°,
a
n
d
t
h
e
m
o
d
e
l
e
x
h
i
b
it
s
n
o
tew
o
rt
h
y
p
e
r
fo
rm
a
n
c
e
a
t
th
is
sh
ift
.
In
th
is
c
a
se
,
th
e
re
a
re
a
ls
o
re
d
u
c
e
d
ro
to
r
c
u
rre
n
t
rip
p
les
,
wh
ich
d
e
c
re
a
s
e
ro
to
r
h
e
a
ti
n
g
.
De
sp
it
e
th
is,
th
e
h
a
rm
o
n
ics
in
c
re
a
se
d
t
h
e
p
e
a
k
sta
t
o
r
p
h
a
se
c
u
rre
n
ts f
o
r
a
3
0
°
e
lec
tri
c
a
l
o
ffse
t.
K
ey
w
o
r
d
s
:
An
g
u
lar
o
f
f
s
et
Du
al
s
tato
r
win
d
in
g
m
o
to
r
Mo
d
ellin
g
PW
M
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
s
Simu
latio
n
T
h
is i
s
a
n
o
p
e
n
a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Fatm
a
L
o
u
n
n
as
E
lectr
ical
E
n
g
in
ee
r
in
g
Ad
v
a
n
ce
d
T
ec
h
n
o
lo
g
y
L
ab
o
r
ato
r
y
(
L
AT
AGE
)
Dep
ar
tm
en
t o
f
E
lectr
ical
E
n
g
i
n
ee
r
in
g
,
M
o
u
lo
u
d
Ma
m
m
e
r
i
Un
iv
er
s
ity
T
izi
Ou
zo
u
1
5
0
0
0
,
Alg
er
ia
E
m
ail:
f
atm
a.
lo
u
n
n
as@
u
m
m
to
.
d
z
NO
M
E
N
CL
A
T
UR
E
s1
:
R
esi
s
tan
ce
o
f
s
tato
r
1
win
d
i
n
g
:
Ma
g
n
etiza
tio
n
in
d
u
ctan
ce
s2
:
R
esi
s
tan
ce
o
f
s
tato
r
2
win
d
i
n
g
:
Po
le
p
air
s
n
u
m
b
e
r
:
R
o
to
r
r
esis
tan
ce
:
An
g
u
lar
r
o
tatio
n
s
p
ee
d
s1
:
Stato
r
1
in
d
u
cta
n
ce
(
d
s1
,
q
s1
)
:
Stato
r
1
cu
r
r
e
n
t (
d
,
q
)
c
o
m
p
o
n
en
ts
s2
:
Stato
r
2
in
d
u
cta
n
ce
(
d
s2
,
q
s2
)
:
Stato
r
2
cu
r
r
e
n
t (
d
,
q
)
c
o
m
p
o
n
en
ts
:
R
o
to
r
in
d
u
ctan
ce
(
dr
,
qr
)
:
R
o
to
r
cu
r
r
e
n
t (
d
,
q
)
c
o
m
p
o
n
en
ts
1.
I
NT
RO
D
UCT
I
O
N
C
o
m
p
ar
ed
to
tr
a
d
itio
n
al
th
r
ee
-
p
h
ase
m
ac
h
in
es
f
o
r
in
d
u
s
tr
ial
d
r
iv
es
ap
p
licatio
n
s
,
m
u
ltip
h
ase
in
d
u
ctio
n
m
ac
h
i
n
es
o
f
f
er
s
ev
er
al
b
en
e
f
its
,
f
o
r
ex
a
m
p
le,
m
in
im
ized
to
r
q
u
e
f
lu
ctu
atio
n
s
,
r
ed
u
ce
d
p
er
-
p
h
ase
s
tato
r
cu
r
r
e
n
t
with
o
u
t
a
co
r
r
es
p
o
n
d
in
g
i
n
cr
ea
s
e
in
p
h
ase
v
o
lt
ag
e,
d
ec
r
ea
s
ed
h
ar
m
o
n
ic
co
m
p
o
n
en
ts
o
f
th
e
r
o
to
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
E
ffect
o
f th
e
a
n
g
u
la
r
o
ffs
et
o
f t
h
e
s
ta
to
r
w
in
d
in
g
s
o
n
DS
I
M p
erfo
r
ma
n
ce
(
F
a
tma
Lo
u
n
n
a
s
)
2235
cu
r
r
en
t,
an
d
in
cr
ea
s
ed
f
au
lt
t
o
ler
an
ce
[
1
]
-
[
3
]
.
I
t
is
p
ar
ticu
lar
ly
p
o
s
s
ib
le
to
co
n
tin
u
e
o
p
e
r
atin
g
a
m
u
lti
-
p
h
ase
in
d
u
ctio
n
m
ac
h
in
e
ch
ar
ac
te
r
ized
b
y
an
asy
m
m
etr
ic
win
d
in
g
co
n
f
i
g
u
r
atio
n
with
u
n
b
alan
ce
d
p
h
ase
e
x
citatio
n
,
in
th
is
ca
s
e
,
o
n
e
o
r
m
o
r
e
s
tato
r
win
d
in
g
e
x
citatio
n
s
ets
ar
e
l
o
s
t
[
4
]
.
Mu
ltip
h
ase
d
r
iv
es
o
f
f
er
im
p
r
o
v
ed
p
o
wer
d
is
tr
ib
u
tio
n
,
m
o
r
e
f
r
ee
d
o
m
t
o
in
teg
r
ate
n
ew
o
p
er
ati
n
g
m
o
d
e
s
,
an
d
m
o
r
e
p
o
s
t
-
f
au
lt
to
ler
an
ce
with
o
u
t
th
e
n
ee
d
f
o
r
ad
d
itio
n
al
h
a
r
d
war
e
[
5
]
,
[
6
]
.
Du
al
s
tato
r
m
ac
h
i
n
es
f
ir
s
t
ap
p
ea
r
ed
i
n
th
e
ea
r
ly
1
9
0
0
s
[
7
]
.
Du
e
to
its
b
en
ef
its
o
v
er
tr
a
d
itio
n
al
m
ac
h
in
es,
th
is
ty
p
e
o
f
m
ac
h
in
e
is
b
ec
o
m
in
g
m
o
r
e
a
n
d
m
o
r
e
p
o
p
u
lar
f
o
r
a
p
p
licatio
n
s
b
ased
o
n
g
en
er
ato
r
s
an
d
m
o
to
r
s
[
8
]
.
I
n
g
en
er
ato
r
m
o
d
e,
th
e
u
s
e
o
f
t
h
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
ac
h
in
e
,
wh
ich
is
also
ca
lled
b
r
u
s
h
less
d
o
u
b
l
y
f
e
d
m
ac
h
in
e
(
B
DFM
)
,
in
a
win
d
t
u
r
b
in
e
was
an
attem
p
t
to
ac
q
u
ir
e
th
e
b
en
ef
its
o
f
a
d
o
u
b
ly
f
ed
in
d
u
ctio
n
g
en
er
at
o
r
(
DFI
G
)
in
a
m
o
r
e
r
o
b
u
s
t
s
tr
u
ctu
r
e,
wh
ich
r
em
ain
s
th
e
p
r
i
m
ar
y
m
o
tiv
atio
n
f
o
r
th
e
m
o
s
t
r
ec
en
t
p
u
s
h
i
n
B
DFM
r
esear
ch
[
9
]
.
Mo
d
elin
g
o
f
a
win
d
t
u
r
b
in
e
b
ased
o
n
d
u
al
DFI
G
g
en
er
ato
r
s
is
g
iv
en
b
y
[
1
0
]
.
Pre
v
iew
s
tu
d
y
[
1
1
]
,
th
e
f
ea
s
ib
ilit
y
o
f
B
DFM
u
s
ed
in
a
v
ar
iab
le
s
p
ee
d
win
d
tu
r
b
in
e
was
test
ed
.
I
n
d
u
ctio
n
m
ac
h
i
n
es
with
two
s
tato
r
win
d
in
g
s
in
th
e
m
o
to
r
m
o
d
e
ar
e
th
e
s
u
b
ject
o
f
m
u
lti
p
le
r
esear
ch
s
tu
d
ies.
T
h
e
an
aly
s
is
o
f
m
u
ltip
h
ase
in
d
u
ctio
n
m
ac
h
in
es
in
ter
m
s
o
f
win
d
in
g
f
au
lts
was
an
aly
ze
d
i
n
[
1
2
]
.
Du
al
s
tato
r
in
d
u
ctio
n
m
ac
h
i
n
e
h
as
b
ee
n
th
e
f
o
cu
s
o
f
n
u
m
er
o
u
s
s
tu
d
ies.
T
h
e
co
n
ce
p
t
o
f
a
d
u
al
s
tato
r
win
d
in
g
in
d
u
ctio
n
m
o
to
r
(
DSW
I
M)
with
two
is
o
lated
th
r
ee
-
p
h
ase
win
d
in
g
s
h
a
v
in
g
u
n
e
q
u
al
n
u
m
b
er
s
o
f
p
o
les
was
in
tr
o
d
u
ce
d
i
n
[
1
3
]
,
w
h
er
e
th
e
a
u
th
o
r
s
ex
am
i
n
ed
th
e
ef
f
ec
ts
o
f
th
e
n
u
m
b
er
o
f
s
tato
r
d
is
s
im
ilar
n
u
m
b
e
r
s
o
f
p
o
les.
T
h
e
e
f
f
ec
t
o
f
win
d
in
g
co
n
f
ig
u
r
atio
n
o
n
t
h
e
p
a
r
am
eter
s
an
d
p
er
f
o
r
m
an
c
e
o
f
a
s
ix
-
p
h
ase
i
n
d
u
ctio
n
m
ac
h
in
e
is
p
r
esen
ted
in
[
1
4
]
.
M
o
d
e
l
l
i
n
g
a
n
d
a
n
a
l
y
s
is
o
f
d
u
a
l
s
ta
t
o
r
wi
n
d
i
n
g
i
n
d
u
c
t
i
o
n
m
a
c
h
i
n
e
u
s
i
n
g
c
o
m
p
l
e
x
v
e
c
t
o
r
a
p
p
r
o
a
c
h
i
s
g
i
v
e
n
in
[
1
5
]
.
Mo
d
elin
g
an
d
s
im
u
latio
n
o
f
d
u
al
th
r
ee
-
p
h
ase
in
d
u
cti
o
n
m
ac
h
i
n
e
u
s
in
g
MA
T
L
AB
/Si
m
u
lin
k
in
[
1
6
]
.
I
n
th
e
liter
atu
r
e,
m
a
n
y
wo
r
k
s
h
av
e
b
ee
n
ca
r
r
ied
o
u
t
o
n
th
e
d
u
al
-
s
tato
r
in
d
u
ctio
n
m
ac
h
in
e,
t
ak
in
g
in
to
ac
co
u
n
t
th
e
an
g
u
lar
o
f
f
s
et
b
etwe
en
th
e
two
s
tato
r
win
d
i
n
g
s
.
Pre
v
iew
s
tu
d
y
[
1
7
]
,
a
g
en
er
al
r
e
v
iew
o
f
p
o
ly
p
h
ase
m
ac
h
in
es
f
o
r
in
teg
r
ated
m
o
t
o
r
d
r
iv
es
is
p
r
esen
ted
.
An
in
d
u
ctio
n
m
ac
h
in
e
with
s
ix
-
p
h
ase
s
u
p
p
ly
b
y
a
m
u
lti
-
lev
el
in
v
er
ter
with
co
n
s
id
er
atio
n
o
f
0
°,
3
0
°
,
a
n
d
6
0
°
d
is
p
lace
m
en
ts
b
etwe
en
two
s
tato
r
win
d
in
g
s
ets,
as
well
as
a
co
m
p
ar
is
o
n
o
f
th
r
ee
d
is
tin
ct
ca
s
es
,
is
s
tu
d
ied
in
[
1
8
]
.
Per
f
o
r
m
a
n
ce
en
h
a
n
ce
m
en
t
an
d
ass
ess
m
en
t
o
f
th
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
o
to
r
ar
e
g
iv
en
i
n
[
1
9
]
.
T
h
e
b
eh
av
io
r
s
tu
d
y
o
f
th
e
d
u
al
-
s
tar
in
d
u
ctio
n
m
o
to
r
u
n
d
er
s
tato
r
an
d
r
o
to
r
f
au
lts
is
in
v
esti
g
ated
in
[
2
0
]
.
I
n
p
er
m
an
en
t
m
ag
n
et
s
y
n
c
h
r
o
n
o
u
s
m
a
ch
in
es,
th
e
an
g
u
lar
d
is
p
lace
m
en
t
b
etwe
en
d
u
al
s
tato
r
win
d
in
g
s
p
lay
s
a
cr
u
cial
r
o
le
i
n
in
f
lu
en
cin
g
f
a
u
lt
c
u
r
r
en
ts
an
d
o
v
er
al
l
m
ac
h
in
e
p
er
f
o
r
m
a
n
ce
,
with
p
h
ase
s
h
if
ts
o
f
3
0
°
an
d
6
0
°
s
h
o
wn
to
p
r
o
v
id
e
o
p
tim
al
r
esu
lts
[
2
1
]
.
Qiu
an
d
He
[
2
2
]
s
h
o
w
t
h
at
a
3
0
°
p
h
ase
s
h
if
t
b
etwe
en
th
e
s
tato
r
win
d
in
g
s
in
b
ea
r
in
g
-
less
m
o
to
r
s
s
ig
n
if
ican
tly
r
ed
u
ce
s
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
th
u
s
im
p
r
o
v
in
g
o
v
er
al
l
p
er
f
o
r
m
an
ce
an
d
r
eliab
ilit
y
.
T
h
e
im
p
a
ct
o
f
elec
tr
ical
p
h
ase
d
is
p
lace
m
en
t
in
d
u
al
th
r
ee
-
p
h
ase
PMSMs
was
s
tu
d
ied
in
d
etail
in
[
2
3
]
,
d
em
o
n
s
tr
atin
g
h
o
w
u
n
co
n
v
en
tio
n
al
a
n
g
les
ca
n
im
p
r
o
v
e
to
r
q
u
e
r
ip
p
les
an
d
r
e
d
u
ce
lo
s
s
es.
Kh
lifi
[
2
4
]
p
r
esen
ts
th
e
m
o
d
elin
g
a
n
d
s
im
u
latio
n
o
f
a
d
o
u
b
le
s
tato
r
win
d
in
g
in
d
u
ctio
n
m
ac
h
i
n
e
f
ed
b
y
a
m
u
ltil
ev
el
in
v
er
ter
with
n
eu
tr
al
p
o
in
t
,
ass
es
s
in
g
th
e
in
f
lu
en
ce
o
f
an
g
u
lar
d
is
p
lace
m
en
ts
o
f
0
°,
3
0
°
,
an
d
6
0
°
b
etwe
en
th
e
two
win
d
in
g
s
o
n
to
r
q
u
e
r
ip
p
le
an
d
h
ar
m
o
n
ic
d
is
to
r
tio
n
.
B
ased
o
n
th
e
ab
o
v
e
-
m
e
n
tio
n
ed
s
tu
d
ies
o
f
th
e
ef
f
ec
t
o
f
th
e
an
g
u
lar
o
f
f
s
et
b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
o
n
th
e
p
er
f
o
r
m
an
ce
o
f
ea
c
h
ty
p
e
o
f
m
ac
h
in
e
wit
h
two
s
tato
r
win
d
in
g
s
.
As
a
f
o
llo
w
-
u
p
to
t
h
ese
s
tu
d
ies,
o
u
r
w
o
r
k
will
ex
am
in
e
h
o
w
th
is
a
n
g
u
lar
o
f
f
s
et
af
f
e
cts
th
e
s
am
e
p
er
f
o
r
m
a
n
ce
in
th
e
ca
s
e
o
f
a
d
o
u
b
le
-
s
tato
r
in
d
u
ctio
n
m
o
to
r
p
o
wer
e
d
b
y
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M
)
in
v
er
ter
s
.
Ou
r
wo
r
k
al
s
o
aim
s
to
co
n
f
ir
m
th
at
th
e
3
0
°
elec
tr
ical
o
f
f
s
et
b
etwe
en
th
e
s
tato
r
win
d
in
g
s
o
f
f
er
s
th
e
b
est
p
er
f
o
r
m
a
n
ce
,
as
s
u
g
g
ested
b
y
s
o
m
e
p
r
ev
io
u
s
wo
r
k
.
I
n
th
is
wo
r
k
,
we
p
r
esen
t
th
e
d
ev
elo
p
m
en
t
o
f
a
m
ath
em
atica
l
m
o
d
el
f
o
r
a
d
u
al
s
tato
r
in
d
u
ct
io
n
m
o
to
r
(
DSI
M)
,
ex
p
r
ess
ed
u
s
in
g
a
g
e
n
er
alize
d
r
ef
er
en
ce
f
r
a
m
e
wit
h
tak
in
g
in
t
o
ac
c
o
u
n
t
th
e
ef
f
e
ct
o
f
m
u
tu
al
leak
ag
e
in
d
u
ctan
ce
.
T
h
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
o
to
r
is
p
o
wer
e
d
b
y
t
wo
id
en
tical
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
s
,
co
n
s
id
er
in
g
th
e
p
h
ase
s
h
if
t
b
etwe
en
th
e
t
wo
s
ets
o
f
th
r
ee
-
p
h
ase
s
tato
r
win
d
in
g
s
(
0
°,
3
0
°,
6
0
°).
A
co
m
p
ar
ativ
e
an
aly
s
is
o
f
th
ese
th
r
ee
c
o
n
f
ig
u
r
atio
n
s
will
b
e
a
n
aly
ze
d
.
T
h
e
s
tr
u
ctu
r
e
o
f
th
e
p
ap
e
r
is
as
f
o
llo
ws:
Sectio
n
2
is
a
d
escr
ip
tio
n
an
d
mo
d
ellin
g
o
f
th
e
DSI
M
;
S
im
u
latio
n
r
esu
lts
ar
e
s
h
o
wn
to
d
em
o
n
s
tr
ate
th
e
v
alid
it
y
o
f
th
e
s
u
g
g
ested
m
o
d
el
o
f
th
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
o
to
r
will
b
e
d
is
cu
s
s
ed
in
s
ec
tio
n
3
;
an
d
t
h
e
c
o
n
clu
s
i
o
n
o
f
t
h
is
wo
r
k
is
th
o
r
o
u
g
h
ly
p
r
esen
ted
in
s
ec
tio
n
4
.
2.
DE
SCR
I
P
T
I
O
N
AND
M
O
D
E
L
L
I
NG
O
F
T
H
E
DSI
M
B
ef
o
r
e
d
ev
elo
p
in
g
th
e
DSI
M
m
o
d
el,
it
is
im
p
o
r
tan
t
to
p
r
o
v
id
e
a
b
r
ief
d
escr
ip
tio
n
o
f
th
is
m
ac
h
in
e.
T
h
is
in
clu
d
es
an
o
v
er
v
iew
o
f
its
co
n
s
tr
u
ctio
n
.
Nex
t,
th
e
s
p
atial
ar
r
an
g
em
en
t
o
f
th
e
s
tato
r
an
d
r
o
to
r
win
d
in
g
s
will
b
e
d
escr
ib
ed
.
Fin
ally
,
th
e
s
tr
u
ctu
r
e
o
f
th
e
d
if
f
er
en
t
an
g
u
lar
o
f
f
s
ets
b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
will
b
e
p
r
esen
ted
.
2
.
1
.
Descript
io
n o
f
t
he
DSI
M
T
h
e
n
am
e
d
u
al
s
tato
r
in
d
u
cti
o
n
m
o
to
r
is
d
u
e
t
o
th
e
f
ac
t
th
at
th
e
s
tato
r
c
o
n
tain
s
two
win
d
in
g
s
.
I
t'
s
also
ca
lled
a
d
u
al
-
s
tar
in
d
u
ctio
n
m
o
to
r
wh
e
n
th
e
win
d
in
g
s
o
r
th
e
two
s
tato
r
s
ar
e
b
o
th
s
tar
-
co
n
n
ec
te
d
.
T
h
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2234
-
2
2
4
2
2236
r
o
to
r
is
a
s
q
u
ir
r
el
ca
g
e
o
n
e,
id
en
tical
to
th
at
o
f
a
co
n
v
en
tio
n
al
in
d
u
ctio
n
m
o
to
r
.
T
h
e
two
win
d
in
g
s
h
o
u
s
ed
i
n
th
e
s
am
e
s
tato
r
h
av
e
th
e
s
am
e
n
u
m
b
e
r
o
f
p
o
le
p
air
s
.
T
h
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
o
to
r
(
DSI
M)
co
n
s
is
ts
o
f
two
s
tatio
n
ar
y
th
r
ee
-
p
h
ase
s
tato
r
win
d
in
g
s
,
r
e
f
er
r
e
d
to
as
s
tato
r
1
an
d
s
tato
r
2
,
wh
ich
ar
e
s
p
atially
d
is
p
lace
d
b
y
an
elec
tr
ical
an
g
le
α
(
s
ee
Fig
u
r
e
1
)
,
with
a
r
o
to
r
in
s
q
u
ir
r
el
-
ca
g
e
f
o
r
m
th
at
is
c
o
m
m
o
n
t
o
b
o
th
s
tato
r
s
[
2
5
]
.
Fig
u
r
e
2
s
h
o
ws th
e
c
o
n
f
ig
u
r
ati
o
n
o
f
d
if
f
er
en
t a
n
g
u
lar
o
f
f
s
et
a
n
g
les b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
.
Fig
u
r
e
1
.
Diag
r
a
m
o
f
th
e
s
tato
r
an
d
r
o
to
r
win
d
in
g
s
o
f
a
DSI
M
Fig
u
r
e
2
.
C
o
n
f
ig
u
r
atio
n
o
f
d
if
f
er
en
t a
n
g
u
lar
o
f
f
s
et
an
g
les b
et
wee
n
th
e
two
s
tato
r
win
d
in
g
s
2
.
2
.
M
a
t
hema
t
ica
l
m
o
dellin
g
o
f
t
he
DSI
M
T
h
e
m
ath
em
atica
l
m
o
d
el
o
f
t
h
e
d
u
al
s
tato
r
in
d
u
ctio
n
m
ac
h
in
e
is
b
ased
o
n
Par
k
’
s
tr
an
s
f
o
r
m
atio
n
to
s
im
p
lify
th
e
s
y
s
tem
o
f
d
if
f
er
e
n
tial
eq
u
atio
n
s
[
2
6
]
.
I
t
is
ch
ar
ac
ter
ized
b
y
th
e
v
o
ltag
e
an
d
f
l
u
x
eq
u
atio
n
s
as
(
1
)
-
(
6
)
r
e
p
r
esen
t th
e
s
tato
r
1
,
s
tato
r
2
,
an
d
r
o
t
o
r
v
o
ltag
es,
r
esp
ec
t
iv
ely
,
ex
p
r
ess
ed
in
th
e
(
d
,
q
)
r
ef
er
en
ce
f
r
am
e.
d
s1
=
R
s1
.
i
d
s1
+
d
φ
d
s
1
dt
−
d
θ
s1
dt
.
φ
q
s1
(
1
)
q
s1
=
R
s1
.
i
q
s1
+
d
φ
q
s
1
dt
+
d
θ
s1
dt
.
φ
d
s1
(
2
)
d
s2
=
R
s2
.
i
d
s2
+
d
φ
d
s
2
dt
−
d
θ
s2
dt
.
φ
q
s2
(
3
)
q
s2
=
R
s2
.
i
q
s2
+
d
φ
q
s
2
dt
+
d
θ
s2
dt
.
φ
d
s2
(
4
)
dr
=
R
.
i
dr
+
d
φ
dr
dt
−
d
θ
dt
qr
=0
(
5
)
qr
=
R
.
i
qr
+
d
φ
qr
dt
+
d
θ
dt
.
φ
dr
=0
(
6
)
T
h
e
(
7
)
a
n
d
(
8
)
r
e
p
r
esen
t
t
h
e
s
tato
r
1
,
(
9
)
-
(
1
0
)
th
e
s
tato
r
2
,
(
1
1
)
an
d
(
1
2
)
th
e
r
o
to
r
f
lu
x
,
r
esp
ec
tiv
el
y
,
ex
p
r
ess
ed
in
th
e
(
d
,
q
)
r
ef
e
r
en
c
e
f
r
am
e.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
E
ffect
o
f th
e
a
n
g
u
la
r
o
ffs
et
o
f t
h
e
s
ta
to
r
w
in
d
in
g
s
o
n
DS
I
M p
erfo
r
ma
n
ce
(
F
a
tma
Lo
u
n
n
a
s
)
2237
d
s1
=
(
s1
+
L
)
d
s1
+
L
(
d
s2
+
i
dr
)
(
7
)
q
s1
=
(
s1
+
L
)
q
s1
+
L
(
q
s2
+
i
qr
)
(
8
)
d
s2
=
(
s2
+
L
)
d
s2
+
L
(
d
s1
+
i
dr
)
(
9
)
q
s2
=
(
s2
+
L
)
q
s2
+
L
(
q
s1
+
i
qr
)
(
1
0
)
dr
=
(
+
L
)
dr
+
(
d
s1
+
i
d
s2
)
(
1
1
)
qr
=
(
+
L
)
qr
+
(
q
s1
+
i
q
s2
)
(
1
2
)
T
h
e
eq
u
atio
n
f
o
r
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
is
p
r
o
v
id
ed
b
y
(
1
3
)
.
m
em
q
s
1
q
s
2
d
s
1
d
s
2
rm
qr
dr
L
C
=
p
(
i
+
i
)
-
(
i
+
i
)
L
+
L
jj
(
1
3
)
2
.
3
.
Dev
el
o
pm
ent
o
f
a
s
im
ul
a
t
io
n m
o
del in
M
AT
L
A
B
/S
i
m
uli
nk
env
iro
nm
ent
B
ased
o
n
th
e
v
ar
io
u
s
eq
u
atio
n
s
ch
ar
ac
ter
izin
g
th
e
m
o
d
el
o
f
th
e
d
o
u
b
le
s
tato
r
in
d
u
ctio
n
m
o
to
r
with
ea
ch
s
tato
r
win
d
in
g
s
u
p
p
lied
b
y
a
PW
M
in
v
er
ter
,
a
s
im
u
latio
n
p
r
o
g
r
am
was
d
ev
elo
p
e
d
u
s
in
g
MA
T
L
AB
/S
im
u
lin
k
en
v
ir
o
n
m
en
t.
T
h
is
m
o
d
el
is
s
h
o
wn
in
Fi
g
u
r
e
3
,
an
d
allo
ws
u
s
to
ex
a
m
in
e
th
e
b
eh
a
v
io
r
o
f
th
e
m
o
to
r
i
n
q
u
esti
o
n
f
o
r
th
r
ee
ca
s
es o
f
o
f
f
s
et
b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
(
0
°,
3
0
°,
6
0
°
)
.
T
h
e
s
im
u
latio
n
p
r
o
g
r
am
d
ev
e
lo
p
ed
u
s
in
g
MA
T
L
AB
/Si
m
u
lin
k
is
co
m
p
o
s
ed
b
y
th
e
f
o
llo
win
g
f
iv
e
b
lo
ck
s
.
B
lo
ck
1
r
ep
r
esen
ts
th
e
two
PW
M
in
v
er
ter
s
s
u
p
p
ly
in
g
th
e
d
o
u
b
le
s
tato
r
in
d
u
ctio
n
m
o
to
r
,
t
h
e
v
o
ltag
es
at
th
e
o
u
tp
u
t
o
f
th
is
b
lo
c
k
ar
e
in
th
e
(
a,
b,
c
)
r
e
f
er
en
ce
f
r
am
e.
T
h
eir
tr
an
s
f
o
r
m
atio
n
in
Par
k
'
s
r
ef
er
en
ce
f
r
am
e
is
p
er
f
o
r
m
ed
in
b
lo
c
k
2
.
T
h
e
d
if
f
er
en
t
a
n
g
les
in
v
o
l
v
ed
in
th
e
eq
u
atio
n
s
d
escr
ib
in
g
th
e
m
o
d
el
o
f
th
e
m
o
to
r
i
n
q
u
esti
o
n
ar
e
p
r
esen
te
d
in
b
lo
c
k
3
.
B
lo
ck
4
r
e
p
r
esen
ts
th
e
m
o
d
el
o
f
th
e
m
o
to
r
.
T
o
e
n
ab
le
v
is
u
aliza
tio
n
o
f
th
e
s
tato
r
an
d
r
o
to
r
cu
r
r
en
ts
in
(
a,
b
,
c)
r
ef
er
e
n
ce
f
r
am
e,
Par
k
'
s
in
v
er
s
e
tr
an
s
f
o
r
m
atio
n
is
r
eq
u
ir
ed
,
wh
ich
is
in
clu
d
ed
in
b
lo
ck
5
.
Fig
u
r
e
3
.
MA
T
L
AB
/Si
m
u
lin
k
-
b
ased
d
u
al
s
tato
r
i
n
d
u
ctio
n
m
o
to
r
m
o
d
el
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
ab
le
1
lis
ts
th
e
p
ar
am
eter
s
o
f
th
e
d
u
al
s
tato
r
i
n
d
u
ctio
n
m
ac
h
in
e
u
s
ed
in
th
is
s
tu
d
y
.
Usi
n
g
th
e
m
o
d
el
o
f
th
is
m
ac
h
i
n
e
with
d
if
f
er
e
n
t d
is
p
lace
m
en
ts
b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
,
a
s
er
ies
o
f
t
ests
was
p
er
f
o
r
m
ed
b
y
m
o
d
if
y
in
g
th
e
lo
ad
in
th
r
e
e
s
tag
es
at
v
ar
io
u
s
tim
e
in
ter
v
als
(
C
r
1
=
0
Nm
at
t
1
=
0
s
;
C
r
2
=
1
Nm
at
t
2
=
0
.
8
s
,
a
n
d
C
r
3
=
1
.
4
Nm
at
t
3
=
1
.
8
s
).
T
h
e
b
e
h
av
io
r
s
tu
d
y
an
d
th
e
p
er
f
o
r
m
a
n
ce
o
f
th
is
m
ac
h
in
e
u
n
d
er
th
ese
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2234
-
2
2
4
2
2238
s
tep
s
lo
ad
ch
a
n
g
e
with
d
if
f
er
e
n
t
d
is
p
lace
m
en
ts
b
etwe
en
th
e
two
s
tato
r
win
d
in
g
s
,
wh
ich
ar
e
s
u
p
p
lied
b
y
two
id
en
tical
in
v
er
ter
s
.
T
h
e
s
u
p
p
ly
v
o
lta
g
e
o
f
th
e
two
s
tato
r
s
i
s
r
ep
r
esen
ted
b
y
th
e
o
u
tp
u
t
v
o
lta
g
e
wav
ef
o
r
m
in
v
e
r
ter
(
v
as
1
)
s
u
p
p
ly
in
g
th
e
f
ir
s
t
p
h
ase
o
f
s
tato
r
1
,
an
d
its
zo
o
m
is
g
iv
en
r
esp
ec
tiv
ely
b
y
Fig
u
r
e
s
4
an
d
5
.
Dif
f
er
en
t
lo
a
d
co
n
d
itio
n
s
d
is
tin
g
u
is
h
in
g
o
p
e
r
atin
g
m
o
d
es
o
f
th
e
m
ac
h
i
n
e
a
r
e
ch
ar
ac
ter
ize
d
in
Fig
u
r
e
6
.
T
h
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
is
g
iv
e
n
b
y
Fig
u
r
e
7
,
it
is
ap
p
r
o
x
im
ately
e
q
u
al
to
ze
r
o
at
n
o
-
lo
a
d
co
n
d
itio
n
a
n
d
is
alm
o
s
t
eq
u
al
to
th
e
lo
ad
to
r
q
u
e
wh
en
th
e
m
o
t
o
r
is
o
p
er
atin
g
at
l
o
ad
.
Usi
n
g
th
e
zo
o
m
o
f
th
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e
c
u
r
v
e
(
s
ee
Fig
u
r
e
8
)
,
we
ca
n
o
b
s
er
v
e
t
h
e
p
ics
o
f
th
e
to
r
q
u
e
r
i
p
p
les,
wh
ich
ar
e
v
e
r
y
s
ig
n
if
ican
t
f
o
r
0
°
an
d
6
0
°
co
m
p
ar
ed
to
th
e
3
0
°
s
h
if
t.
T
h
is
i
s
co
n
f
ir
m
ed
b
y
th
e
ch
ar
ac
ter
is
tic
to
r
q
u
e
-
s
p
ee
d
o
f
th
e
DSI
M,
wh
ich
is
r
ep
r
esen
ted
b
y
Fig
u
r
e
9
.
T
h
e
r
elativ
e
to
r
q
u
e
r
ip
p
le
r
ates f
o
r
th
e
th
r
ee
ca
s
es o
f
th
e
two
s
tato
r
win
d
in
g
s
d
is
p
lace
m
en
t
a
r
e
g
i
v
en
in
T
a
b
le
2
.
Fig
u
r
e
1
0
illu
s
tr
ates
th
at
th
e
r
o
to
r
s
p
ee
d
r
em
ain
s
n
ea
r
ly
f
r
ee
f
r
o
m
p
u
ls
atio
n
s
;
it
is
n
o
t
af
f
e
cted
b
y
th
e
d
is
p
lace
m
en
t
b
etwe
en
th
e
s
tato
r
win
d
in
g
s
.
At
n
o
lo
ad
,
th
e
s
p
ee
d
is
eq
u
al
to
1
5
6
.
2
r
ad
/s
a
n
d
v
a
r
ies
with
lo
ad
,
tak
in
g
v
alu
es
o
f
1
3
8
.
2
r
a
d
/s
an
d
1
2
6
.
4
r
esp
ec
tiv
ely
,
in
[
0
.
8
-
1
.
8
s
]
an
d
[
1
.
8
-
2
.
5
s
]
.
Fig
u
r
e
1
1
r
ep
r
esen
ts
th
e
s
tato
r
cu
r
r
e
n
t
o
f
t
h
e
p
h
ase
“a
”
o
f
th
e
f
ir
s
t
s
tato
r
.
T
h
e
zo
o
m
s
o
f
th
e
s
tato
r
cu
r
r
e
n
t
wav
e
f
o
r
m
d
u
r
in
g
th
e
n
o
-
l
o
ad
an
d
th
e
lo
ad
c
o
n
d
itio
n
s
ar
e
r
esp
ec
tiv
ely
g
iv
en
b
y
Fig
u
r
es
1
2
an
d
1
3
.
T
h
e
am
p
litu
d
e
o
f
p
u
ls
atio
n
s
in
th
e
s
tato
r
cu
r
r
en
t
is
v
er
y
co
n
s
id
er
ab
le
wh
en
th
e
d
is
p
lace
m
en
t
b
etwe
en
th
e
two
s
tato
r
s
is
eq
u
al
to
3
0
°
co
m
p
ar
e
d
to
th
e
o
th
er
d
is
p
lace
m
en
ts
,
wh
ich
ar
e
0
° an
d
6
0
°.
T
ab
le
1
.
DSI
M
p
ar
a
m
eter
s
P
a
r
a
me
t
e
r
V
a
l
u
e
N
o
mi
n
a
l
r
a
t
e
d
p
o
w
e
r
o
f
t
h
e
D
S
I
M
P
n
=
1
.
1
k
W
F
r
e
q
u
e
n
c
y
f
=
5
0
H
z
N
u
mb
e
r
o
f
p
a
i
r
s
o
f
p
o
l
e
s
p
1
=
p
2
=2
S
t
a
t
o
r
1
r
e
s
i
st
a
n
c
e
R
s1
=
7
.
7
3
Ω
S
t
a
t
o
r
2
r
e
s
i
st
a
n
c
e
R
s2
=
7
.
7
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I
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4
I
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w
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Vo
l.
16
,
No
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4
,
Dec
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er
20
25
:
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ase
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d
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h
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im
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th
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atin
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n
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n
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er
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itio
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s
.
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e
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en
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d
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en
ts
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etwe
en
th
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tato
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in
g
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ic
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e
0
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0
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n
d
6
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h
e
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el
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ig
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m
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at
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s
e
th
e
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p
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ls
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ly
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0
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h
e
r
ip
p
les
o
f
th
e
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r
cu
r
r
en
t
ar
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s
m
aller
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th
is
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s
e,
as
a
r
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lt
,
t
h
e
r
ed
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ctio
n
o
f
th
e
r
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to
r
h
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tin
g
.
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th
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th
e
p
ea
k
o
f
th
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s
tato
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en
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er
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ase
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ed
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r
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s
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t,
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ich
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s
eq
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ce
o
f
th
e
p
r
esen
ce
o
f
ad
d
itio
n
al
h
ar
m
o
n
ics in
th
e
s
tato
r
c
u
r
r
e
n
t.
ACK
NO
WL
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DG
M
E
N
T
S
W
e
wo
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ld
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th
an
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r
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lab
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ir
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g
s
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wh
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F
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Au
th
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an
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ac
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co
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atio
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
E
ffect
o
f th
e
a
n
g
u
la
r
o
ffs
et
o
f t
h
e
s
ta
to
r
w
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(
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s
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2241
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DATA
AV
AI
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Data
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RE
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R
E
NC
E
S
[
1
]
Z.
C
a
o
,
G
.
A
.
R
.
C
a
r
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n
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s,
E
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A
.
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.
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