I
nte
rna
t
io
na
l J
o
urna
l o
f
P
o
w
er
E
lect
ro
nics
a
nd
Driv
e
Sy
s
t
e
m
(
I
J
P
E
DS
)
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
201
6
,
p
p
.
1
1
4
6
~
1
1
5
2
I
SS
N:
2088
-
8
694
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
p
ed
s
.
v7
i
4
.
pp
1
1
4
6
-
1152
1146
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
jo
u
r
n
a
l.c
o
m/o
n
lin
e/in
d
ex
.
p
h
p
/I
JP
E
DS
M
o
delling
o
f
a
3
-
p
ha
se Inductio
n
M
o
tor
u
nder
O
pe
n
-
p
ha
se
Fault
Usi
ng
Ma
tl
a
b/
Si
m
uli
n
k
M
o
ha
m
m
a
d J
a
nn
a
t
i
1
,
T
o
le
S
uti
k
no
2
1
UT
M
-
P
ROT
ON
F
u
tu
re
Driv
e
L
a
b
o
ra
to
ry
,
F
a
c
u
lt
y
o
f
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Un
iv
e
rsiti
T
e
k
n
o
lo
g
i
M
a
la
y
sia
,
Jo
h
o
r
Ba
h
ru
,
M
a
lay
sia
2
De
p
a
rtme
n
t
o
f
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Un
iv
e
rsitas
A
h
m
a
d
Da
h
lan
,
Yo
g
y
a
k
a
rta,
In
d
o
n
e
sia
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
Ma
y
2
8
,
2
0
1
6
R
ev
i
s
ed
No
v
2
,
2
0
1
6
A
cc
ep
ted
No
v
14
,
2
0
1
6
T
h
e
d
-
q
m
o
d
e
l
o
f
In
d
u
c
ti
o
n
M
o
to
rs
(IM
s)
h
a
s
b
e
e
n
e
f
fe
c
ti
v
e
l
y
u
se
d
a
s
a
n
e
ff
ici
e
n
t
m
e
th
o
d
t
o
a
n
a
ly
z
e
th
e
p
e
rf
o
r
m
a
n
c
e
o
f
th
e
in
d
u
c
ti
o
n
m
a
c
h
in
e
s.
T
h
is
stu
d
y
p
re
se
n
ts
a
ste
p
b
y
ste
p
M
a
tl
a
b
/S
im
u
l
in
k
im
p
l
e
m
e
n
tatio
n
o
f
a
sta
r
-
c
o
n
n
e
c
ted
3
-
p
h
a
se
IM
u
n
d
e
r
o
p
e
n
-
p
h
a
se
f
a
u
lt
(
f
a
u
lt
y
3
-
p
h
a
se
IM
)
u
sin
g
d
-
q
m
o
d
e
l.
T
h
e
p
re
se
n
te
d
tec
h
n
iq
u
e
in
th
is
p
a
p
e
r
c
a
n
b
e
si
m
p
ly
im
p
le
m
e
n
ted
in
o
n
e
b
l
o
c
k
a
n
d
c
a
n
b
e
m
a
d
e
a
v
a
il
a
b
le
f
o
r
c
o
n
tro
l
p
u
r
p
o
se
s.
T
h
e
si
m
u
late
d
re
su
lt
s
p
r
o
v
id
e
t
o
sh
o
w
th
e
b
e
h
a
v
io
r
o
f
th
e
sta
r
-
c
o
n
n
e
c
ted
3
-
p
h
a
se
IM
u
n
d
e
r
o
p
e
n
-
p
h
a
se
f
a
u
lt
c
o
n
d
it
i
o
n
.
K
ey
w
o
r
d
:
C
o
n
tr
o
l p
u
r
p
o
s
es
D
-
q
m
o
d
el
Ma
tlab
/Si
m
u
l
in
k
Op
en
-
p
h
ase
f
au
l
t
Star
-
co
n
n
ec
ted
3
-
p
h
a
s
e
IM
Co
p
y
rig
h
t
©
201
6
In
s
t
it
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Mo
h
a
m
m
ad
J
an
n
at
i,
Facu
lt
y
o
f
E
lectr
ical
E
n
g
in
ee
r
in
g
,
Un
i
v
er
s
iti T
ek
n
o
lo
g
i M
ala
y
s
ia
,
UT
M
Sk
u
d
ai,
8
1
3
1
0
J
o
h
o
r
,
M
ala
y
s
ia.
E
m
ail: j
an
n
ati
m
9
4
@
y
a
h
o
o
.
co
m
1.
I
NT
RO
D
UCT
I
O
N
I
n
d
u
ctio
n
Mo
to
r
s
(
I
Ms)
ar
e
th
e
m
o
s
t
r
o
b
u
s
t
an
d
th
e
m
o
s
t
b
r
o
ad
ly
u
s
ed
m
ac
h
i
n
e
s
i
n
in
d
u
s
tr
ial
s
ec
to
r
s
.
T
o
s
h
o
w
th
e
b
eh
a
v
io
r
o
f
I
Ms,
th
e
m
o
d
eli
n
g
o
f
t
h
ese
m
o
to
r
s
i
s
v
er
y
i
m
p
o
r
tan
t.
T
h
e
m
o
d
elin
g
o
f
t
h
es
e
m
o
to
r
s
is
n
ee
d
ed
in
ca
lc
u
latio
n
s
o
f
f
a
u
lt,
v
o
lta
g
e
d
r
o
p
,
co
n
tr
o
l a
p
p
licatio
n
s
,
tr
an
s
ie
n
t a
n
a
l
y
s
is
a
n
d
etc
[
1
]
-
[
7
]
.
Du
e
to
t
h
e
co
m
p
le
x
it
y
o
f
t
h
e
s
o
lv
i
n
g
d
i
f
f
er
en
tia
l
eq
u
atio
n
s
o
f
a
3
-
p
h
a
s
e
I
M,
a
ch
a
n
g
e
o
f
v
ar
iab
les
ca
n
b
e
ap
p
lied
to
d
ec
r
ea
s
e
th
e
co
m
p
le
x
it
y
o
f
t
h
e
s
e
eq
u
at
io
n
s
.
I
n
th
i
s
m
eth
o
d
,
3
-
p
h
a
s
e
w
i
n
d
i
n
g
s
ca
n
b
e
r
ed
u
ce
d
to
a
s
et
o
f
2
-
p
h
ase
w
in
d
in
g
s
(
q
-
d
m
o
d
el)
.
I
n
o
th
er
w
o
r
d
s
,
th
e
3
-
p
h
a
s
e
I
M
s
tato
r
an
d
r
o
to
r
v
ar
iab
les
ar
e
tr
an
s
f
er
r
ed
to
a
r
e
f
er
en
ce
f
r
a
m
e,
w
h
ic
h
ca
n
r
o
tate
at
a
n
y
an
g
u
lar
v
elo
cit
y
.
T
h
is
m
e
th
o
d
is
a
p
o
w
er
f
u
l
tech
n
iq
u
e
i
n
i
m
p
le
m
e
n
ti
n
g
t
h
e
I
M
eq
u
atio
n
s
[
8
]
.
Du
e
to
th
e
as
y
m
m
etr
ical
s
tr
u
c
tu
r
e
o
f
a
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
a
s
e
f
a
u
lt
(
f
a
u
lt
y
3
-
p
h
as
e
I
M)
,
th
e
d
-
q
m
o
d
el
o
f
a
h
ea
l
th
y
3
-
p
h
a
s
e
I
M
is
d
if
f
er
en
t
f
r
o
m
a
f
au
lt
y
3
-
p
h
ase
I
M
[
9
]
.
I
n
th
is
p
ap
er
,
w
e
p
r
esen
t
a
co
n
tr
ib
u
tio
n
to
th
e
is
s
u
e
o
f
d
-
q
m
o
d
el
o
f
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
a
s
e
I
M
w
it
h
o
n
e
p
h
ase
s
cu
t
-
o
f
f
b
ased
o
n
[
9
]
.
T
h
e
p
u
b
lis
h
ed
p
ap
er
in
[
9
]
in
v
esti
g
a
tes
t
h
e
d
-
q
m
o
d
el
o
f
a
s
t
ar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
w
it
h
o
n
e
p
h
ase
cu
t
-
o
f
f
.
T
h
e
p
er
f
o
r
m
an
ce
o
f
p
r
esen
te
d
m
o
d
el
in
[
9
]
is
s
i
m
u
lated
u
s
in
g
Ma
tlab
/M
-
Fil
e.
Ho
w
ev
er
,
it
w
as
f
o
u
n
d
th
a
t
Ma
tlab
/Si
m
u
l
in
k
is
m
o
r
e
co
n
v
en
ien
t in
ter
m
s
o
f
s
i
m
p
licit
y
i
n
s
tr
u
ctu
r
e
a
n
d
co
n
tr
o
l a
lg
o
r
it
h
m
s
.
Ma
tlab
/Si
m
u
l
in
k
h
as
b
en
e
f
it
o
v
er
o
th
er
elec
tr
ic
m
ac
h
i
n
e
s
i
m
u
lato
r
s
in
m
o
d
eli
n
g
t
h
e
I
M
u
s
i
n
g
d
-
q
ax
is
tr
an
s
f
o
r
m
atio
n
.
I
n
th
i
s
r
esear
ch
,
Ma
tlab
/S
i
m
u
li
n
k
i
s
ap
p
lied
to
s
i
m
u
late
a
n
d
a
n
al
y
ze
t
h
e
d
y
n
a
m
ic
p
er
f
o
r
m
a
n
ce
o
f
a
s
tar
-
co
n
n
ec
t
ed
3
-
p
h
ase
I
M
u
n
d
er
s
tato
r
w
in
d
in
g
o
p
en
-
p
h
ase
f
a
u
lt
co
n
d
i
tio
n
.
T
h
e
p
r
o
v
id
ed
f
au
lt
y
3
-
p
h
a
s
e
I
M
m
o
d
el
is
s
i
m
u
lated
i
n
a
w
a
y
t
h
at
m
a
k
e
s
it
u
n
d
er
s
ta
n
d
ab
le
f
o
r
th
e
r
e
ad
er
to
f
o
llo
w
a
n
d
r
ea
lize
th
e
s
i
m
u
lat
io
n
p
r
o
ce
s
s
s
in
ce
it
g
iv
e
s
f
u
l
l
d
etails
ab
o
u
t
Si
m
u
l
in
k
o
f
th
e
m
o
d
el
eq
u
at
io
n
s
.
T
h
is
p
ap
er
i
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
IJ
PEDS
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
2
0
1
6
:
1
1
4
6
–
1
1
5
2
1147
o
r
g
an
ized
as
f
o
llo
w
s
:
a
f
ter
i
n
t
r
o
d
u
ctio
n
in
s
ec
tio
n
1
,
i
n
s
ec
t
i
o
n
2
,
th
e
m
ath
e
m
at
ical
m
o
d
el
o
f
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
a
s
e
f
au
l
t
is
p
r
esen
ted
.
I
n
s
ec
t
i
o
n
3
,
s
i
m
u
latio
n
o
f
a
f
a
u
lt
y
3
-
p
h
ase
I
M
u
s
in
g
Ma
tlab
/Si
m
u
l
in
k
is
p
r
ese
n
ted
.
T
o
ch
ec
k
th
e
p
er
f
o
r
m
a
n
ce
o
f
t
h
e
p
r
esen
ted
m
eth
o
d
,
Ma
tl
ab
/Si
m
u
li
n
k
r
e
s
u
l
ts
ar
e
p
r
esen
ted
in
s
ec
tio
n
4
.
C
o
n
clu
s
io
n
s
ar
e
lis
ted
in
s
ec
tio
n
5
.
2.
F
AULT
Y
3
-
P
H
ASE
I
M
E
Q
UATI
O
S
Fo
r
th
e
p
u
r
p
o
s
es o
f
t
h
e
c
u
r
r
en
t r
esear
ch
,
t
h
e
f
a
u
lt
y
3
-
p
h
ase
I
M
eq
u
atio
n
s
ar
e
s
h
o
w
n
b
y
t
h
e
f
o
llo
w
i
n
g
eq
u
atio
n
s
(
i
n
th
e
s
e
eq
u
atio
n
s
s
u
p
er
s
cr
ip
t “
s
”
s
h
o
w
s
th
e
u
s
e
o
f
a
s
tatio
n
ar
y
r
ef
er
e
n
ce
f
r
a
m
e)
[
9
]
:
Stato
r
v
o
ltag
e
eq
u
a
tio
n
s
s
qr
s
dr
q
d
s
qs
s
ds
qs
s
ds
s
s
qs
s
ds
i
i
p
M
p
M
i
i
p
L
r
p
L
r
v
v
0
0
0
0
(
1
)
Stato
r
f
lu
x
eq
u
at
io
n
s
s
qr
s
dr
q
d
s
qs
s
ds
qs
ds
s
qs
s
ds
i
i
M
M
i
i
L
L
0
0
0
0
(
2
)
R
o
to
r
v
o
ltag
e
eq
u
atio
n
s
s
qr
s
dr
r
r
r
r
r
r
r
r
s
qs
s
ds
q
d
r
q
r
d
s
qr
s
dr
i
i
p
L
r
L
L
p
L
r
i
i
p
M
M
M
p
M
v
v
0
0
(
3
)
R
o
to
r
f
lu
x
eq
u
atio
n
s
s
qr
s
dr
r
r
s
qs
s
ds
q
d
s
qr
s
dr
i
i
L
L
i
i
M
M
0
0
0
0
(
4
)
T
o
r
q
u
e
eq
u
atio
n
s
s
qr
s
ds
d
s
dr
s
qs
q
e
i
i
M
i
i
M
p
o
l
e
T
2
(
5
)
r
r
l
e
F
Jp
pol
e
T
T
2
(
6
)
I
n
(
1
)
-
(
6
)
,
v
s
ds
,
v
s
qs
,
v
s
dr
,
v
s
qr
,
φ
s
ds
,
φ
s
qs
,
φ
s
dr
,
φ
s
qr
,
i
s
ds
,
i
s
qs
,
i
s
dr
,
i
s
qr
ar
e
th
e
s
tato
r
v
o
ltag
es,
th
e
r
o
to
r
v
o
ltag
e
s
,
th
e
s
tato
r
f
l
u
x
es,
t
h
e
r
o
to
r
f
lu
x
es,
th
e
s
tato
r
cu
r
r
en
t
s
an
d
th
e
r
o
to
r
cu
r
r
en
ts
.
r
s
,
r
r
,
L
ds
,
L
qs
,
L
r
,
M
d
,
M
q
ar
e
th
e
s
tato
r
an
d
r
o
to
r
r
esis
ta
n
ce
s
,
t
h
e
s
tato
r
an
d
r
o
to
r
s
elf
an
d
m
u
t
u
al
i
n
d
u
cta
n
ce
s
.
r
i
s
th
e
m
o
to
r
elec
tr
ical
s
p
ee
d
.
p
=d
/
dt
.
T
e
,
T
l
,
J
an
d
F
ar
e
th
e
elec
tr
o
m
a
g
n
et
ic
to
r
q
u
e,
th
e
lo
ad
to
r
q
u
e,
th
e
m
o
m
e
n
t
o
f
in
er
tia
a
n
d
th
e
v
is
co
u
s
f
r
ictio
n
co
ef
f
icie
n
t r
es
p
ec
tiv
el
y
.
Mo
r
eo
v
er
[
9
]
,
ms
ls
qs
ms
ls
ds
ms
q
ms
d
L
L
L
L
L
L
L
M
L
M
2
1
,
2
3
,
2
3
,
2
3
(
7
)
I
n
o
th
er
w
o
r
d
s
,
b
ased
o
n
eq
u
a
tio
n
(
7
)
,
d
u
r
in
g
o
p
en
-
p
h
ase
f
a
u
lt
co
n
d
itio
n
,
o
n
l
y
th
e
s
tato
r
q
-
ax
i
s
s
el
f
an
d
m
u
tu
a
l
in
d
u
c
tan
ce
s
(
L
qs
an
d
M
q
)
ar
e
ch
an
g
ed
an
d
th
e
s
tato
r
d
-
a
x
is
s
el
f
a
n
d
m
u
tu
al
i
n
d
u
c
tan
ce
s
(
L
d
s
an
d
M
d
)
r
e
m
ain
ed
u
n
c
h
a
n
g
ed
.
T
h
e
s
tato
r
an
d
r
o
to
r
v
o
ltag
es,
f
l
u
x
e
s
an
d
c
u
r
r
en
ts
d
u
r
in
g
o
p
en
-
p
h
a
s
e
f
au
l
t
co
n
d
itio
n
ar
e
tr
an
s
f
er
r
ed
to
d
-
q
ax
is
tr
an
s
f
o
r
m
atio
n
.
T
h
i
s
ca
n
b
e
p
er
f
o
r
m
ed
u
s
i
n
g
th
e
f
o
llo
w
i
n
g
eq
u
a
tio
n
s
[
9
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
Mo
d
ellin
g
o
f a
3
-
P
h
a
s
e
I
n
d
u
ct
io
n
Mo
to
r
u
n
d
er Op
e
n
-
P
h
a
s
e
F
a
u
lt Usin
g
Ma
tla
b
/S
imu
lin
k
(
M
.
Ja
n
n
a
ti
)
1148
1
1
1
1
2
2
s
T
(
8
)
2
3
2
3
0
2
1
2
1
1
3
2
r
T
(
9
)
I
n
(
8
)
an
d
(
9
)
,
[
T
s
]
an
d
[
T
r
]
ar
e
tr
an
s
f
o
r
m
a
tio
n
m
atr
i
ce
s
f
o
r
t
h
e
s
tato
r
an
d
r
o
to
r
v
ar
iab
le
s
r
esp
ec
tiv
el
y
.
As
ca
n
b
e
s
ee
n
,
d
u
r
in
g
o
p
en
-
p
h
a
s
e
f
au
lt
co
n
d
i
tio
n
,
t
h
e
r
o
to
r
tr
an
s
f
o
r
m
atio
n
m
atr
i
x
i
s
t
h
e
s
a
m
e
as
co
n
v
en
tio
n
al
o
n
e.
Ho
w
e
v
er
,
th
e
s
tato
r
tr
an
s
f
o
r
m
atio
n
m
at
r
ix
i
s
d
if
f
er
e
n
t.
T
h
e
co
n
f
i
g
u
r
atio
n
o
f
th
e
3
-
p
h
ase
p
o
w
er
s
u
p
p
l
y
f
ed
3
-
p
h
a
s
e
I
M
d
u
r
in
g
o
p
en
-
p
h
ase
f
au
lt c
o
n
d
it
io
n
u
s
ed
i
n
th
is
p
ap
er
is
s
h
o
wn
in
Fig
u
r
e
1
.
Fig
u
r
e
1
.
3
-
P
h
ase
I
M
d
u
r
in
g
Op
en
-
P
h
a
s
e
Fa
u
lt C
o
n
d
itio
n
I
n
Fig
u
r
e
1
,
t
h
e
3
-
p
h
a
s
e
s
tato
r
v
o
ltag
e
s
o
f
an
I
M
ca
n
b
e
ex
p
r
ess
ed
as:
t
v
v
m
a
si
n
(
1
0
)
3
2
s
i
n
t
v
v
m
b
(
1
1
)
3
2
s
i
n
t
v
v
m
c
(
1
2
)
3
.
SI
M
UL
AT
I
O
N
O
F
A
F
AUL
T
Y
3
-
P
H
ASE
I
M
USI
N
G
M
AT
L
AB
/SI
M
UL
I
NK
I
n
th
is
s
ec
tio
n
,
a
f
a
u
lt
y
3
-
p
h
ase
I
M
m
o
d
el
i
s
s
i
m
u
lated
u
s
in
g
t
h
e
Ma
t
lab
/Si
m
u
lin
k
.
T
h
e
Mo
d
el
is
i
m
p
le
m
en
ted
u
s
i
n
g
th
e
eq
u
ati
o
n
s
p
r
o
v
id
ed
in
s
ec
tio
n
s
2
(
eq
u
atio
n
s
(
1
)
-
(
7
)
)
.
Fig
u
r
e
2
s
h
o
w
s
t
h
e
c
o
m
p
let
e
Si
m
u
li
n
k
s
y
s
te
m
o
f
t
h
e
d
escr
ib
ed
f
au
lt
y
3
-
p
h
ase
I
M
m
o
d
el.
Gen
er
all
y
,
t
h
is
b
lo
ck
d
ia
g
r
a
m
i
n
cl
u
d
es
f
i
v
e
s
ec
tio
n
s
: r
o
to
r
,
s
tato
r
,
f
lu
x
e
s
,
tr
an
s
f
o
r
m
atio
n
s
an
d
to
r
q
u
e
b
lo
ck
s
.
I
n
th
i
s
m
o
d
el
,
t
h
e
s
i
m
u
latio
n
s
tar
ts
w
it
h
p
r
o
d
u
cin
g
s
ta
to
r
an
d
r
o
to
r
v
o
ltag
es
g
iv
in
g
i
n
eq
u
atio
n
s
(
1
0
)
-
(
1
2
)
,
an
d
th
en
tr
an
s
f
o
r
m
i
n
g
t
h
ese
v
o
ltag
e
s
to
2
-
p
h
ase
v
o
ltag
e
s
u
s
in
g
tr
an
s
f
o
r
m
atio
n
m
atr
ices
ac
co
r
d
in
g
to
th
e
eq
u
atio
n
s
(
8
)
an
d
(
9
)
.
Af
ter
t
h
at
,
th
e
s
tato
r
,
r
o
to
r
,
t
o
r
q
u
e
an
d
f
l
u
x
eq
u
atio
n
s
in
t
h
e
d
-
q
f
r
a
m
e
w
er
e
i
m
p
le
m
en
ted
as
b
elo
w
.
Fi
g
u
r
e
3
s
h
o
w
s
t
h
e
in
ter
n
al
s
tr
u
ct
u
r
e
o
f
th
e
r
o
to
r
f
o
r
f
au
lt
y
3
-
p
h
a
s
e
I
M
m
o
d
el.
Fig
u
r
e
3
s
h
o
w
s
t
h
e
Si
m
u
l
in
k
b
lo
ck
s
u
s
ed
to
ca
lcu
la
te
t
h
e
d
-
q
r
o
to
r
cu
r
r
en
ts
a
n
d
d
-
q
r
o
to
r
f
l
u
x
e
s
ac
co
r
d
in
g
to
th
e
eq
u
atio
n
s
(
3
)
an
d
(
4
)
.
Fig
u
r
e
4
s
h
o
w
s
th
e
i
n
ter
n
al
s
tr
u
ctu
r
e
o
f
th
e
s
tato
r
f
o
r
f
a
u
lt
y
3
-
p
h
ase
I
M
m
o
d
el.
Fig
u
r
e
4
in
d
icate
s
th
e
Si
m
u
lin
k
b
lo
ck
s
u
s
ed
to
ca
lcu
lat
e
th
e
d
-
q
s
tato
r
cu
r
r
en
ts
an
d
d
-
q
s
tato
r
f
lu
x
es
ac
co
r
d
in
g
to
t
h
e
eq
u
atio
n
s
(
1
)
an
d
(
2
)
.
Fi
g
u
r
e
5
d
i
s
p
la
y
s
t
h
e
in
ter
n
al
s
tr
u
ct
u
r
e
o
f
t
h
e
to
r
q
u
e
an
d
m
o
to
r
s
p
ee
d
f
o
r
f
a
u
lt
y
3
-
p
h
a
s
e
I
M
m
o
d
el
.
Fig
u
r
e
5
s
h
o
w
s
th
e
Si
m
u
l
i
n
k
b
lo
ck
s
u
s
ed
to
ca
lcu
la
te
t
h
e
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
an
d
m
o
to
r
s
p
ee
d
ac
co
r
d
in
g
to
th
e
eq
u
atio
n
s
(
5
)
an
d
(
6
)
.
Fin
all
y
,
eq
u
atio
n
s
(
1
3
)
-
(
1
6
)
in
d
icate
th
e
in
ter
n
al
s
tr
u
ct
u
r
e
o
f
th
e
f
lu
x
es
f
o
r
f
a
u
l
t
y
3
-
p
h
a
s
e
I
M
m
o
d
el.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
IJ
PEDS
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
2
0
1
6
:
1
1
4
6
–
1
1
5
2
1149
s
ds
d
s
md
i
M
(
1
3
)
s
qs
q
s
mq
i
M
(
1
4
)
s
dr
d
s
m
d
r
i
M
(
1
5
)
s
qr
q
s
m
q
r
i
M
(
1
6
)
Fig
u
r
e
2
.
C
o
m
p
lete
Si
m
u
li
n
k
S
y
s
te
m
o
f
a
Fau
lt
y
3
-
P
h
ase
I
M
M
o
d
el
Fig
u
r
e
3
.
T
h
e
I
n
ter
n
al
Stru
ct
u
r
e
o
f
th
e
R
o
to
r
f
o
r
Fau
lt
y
3
-
P
h
ase
I
M
M
o
d
el
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
Mo
d
ellin
g
o
f a
3
-
P
h
a
s
e
I
n
d
u
ct
io
n
Mo
to
r
u
n
d
er Op
e
n
-
P
h
a
s
e
F
a
u
lt Usin
g
Ma
tla
b
/S
imu
lin
k
(
M
.
Ja
n
n
a
ti
)
1150
Fig
u
r
e
4
.
T
h
e
in
ter
n
al
s
tr
u
ctu
r
e
o
f
th
e
s
tato
r
f
o
r
f
a
u
lt
y
3
-
p
h
a
s
e
I
M
m
o
d
el
Fig
u
r
e
5
.
T
h
e
I
n
ter
n
al
Stru
ct
u
r
e
o
f
th
e
T
o
r
q
u
e
f
o
r
Fau
lt
y
3
-
P
h
ase
I
M
Mo
d
el
4
.
M
AT
L
AB
/SI
M
UL
I
NK
RE
SU
L
T
S
T
o
s
h
o
w
t
h
e
d
y
n
a
m
ic
b
eh
a
v
io
r
o
f
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
a
s
e
f
au
lt
,
t
h
e
s
i
m
u
lat
io
n
b
ased
on
Fig
u
r
e
2
is
co
n
d
u
cted
u
s
i
n
g
Ma
tlab
/Si
m
u
li
n
k
.
Fo
r
th
i
s
p
u
r
p
o
s
e,
4
-
p
o
les,
1
5
0
0
r
p
m
,
5
0
Hz,
3
-
p
h
ase
I
M
is
u
s
ed
.
T
h
e
p
ar
a
m
eter
s
o
f
t
h
e
s
i
m
u
lated
I
M
ar
e
a
s
f
o
llo
w
s
:
V
ph
=2
5
0
,
r
s
=2
.
7
5
,
X
ls
=X
lr
=7
.
3
,
r
r
=2
.
2
5
,
J
=
0
2
8
3
,
X
m
=6
8
.
7
4
Fig
u
r
e
6
s
h
o
w
s
th
e
c
u
r
r
en
t
s
,
s
p
ee
d
an
d
to
r
q
u
e
r
esp
o
n
s
es
f
o
r
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
a
s
e
f
au
l
t
co
n
d
it
io
n
(
Fig
u
r
e
6
(
a)
:
n
o
-
lo
ad
co
n
d
itio
n
a
n
d
Fi
g
u
r
e
6
(
b
)
:
lo
ad
co
n
d
itio
n
;
T
l
=2
)
.
I
t
is
co
n
clu
d
ed
th
at,
t
h
e
d
y
n
a
m
ic
b
eh
av
io
r
o
f
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
ase
f
a
u
lt
is
s
i
m
ilar
to
th
e
d
y
n
a
m
ic
b
eh
a
v
io
r
o
f
a
h
ea
lth
y
3
-
p
h
ase
I
M.
Ho
w
e
v
er
,
in
co
m
p
ar
i
s
o
n
to
n
o
r
m
al
co
n
d
it
io
n
(
h
ea
lth
y
co
n
d
itio
n
)
,
th
e
o
s
cillat
io
n
s
o
f
th
e
s
p
ee
d
an
d
elec
tr
o
m
a
g
n
etic
to
r
q
u
e
h
av
e
i
n
cr
ea
s
ed
d
u
e
to
th
e
o
p
en
-
p
h
ase
f
a
u
lt.
Fu
r
t
h
er
m
o
r
e,
th
e
s
ta
to
r
cu
r
r
en
t
s
h
a
v
e
in
cr
ea
s
ed
d
u
r
i
n
g
f
a
u
lt c
o
n
d
itio
n
co
m
p
ar
ed
w
i
th
n
o
r
m
al
co
n
d
itio
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8
6
9
4
IJ
PEDS
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
2
0
1
6
:
1
1
4
6
–
1
1
5
2
1151
(
a)
(
b
)
Fig
u
r
e
6
.
Si
m
u
latio
n
R
es
u
lt
s
o
f
a
F
au
lt
y
3
-
P
h
ase
I
M;
(
a)
n
o
-
L
o
ad
C
o
n
d
itio
n
,
(
b
)
L
o
ad
C
o
n
d
itio
n
5
.
CO
NCLUS
I
O
N
I
n
th
i
s
r
esear
ch
,
an
i
m
p
le
m
e
n
tatio
n
a
n
d
d
y
n
a
m
ic
m
o
d
el
o
f
a
s
tar
-
co
n
n
ec
ted
3
-
p
h
ase
I
M
u
n
d
er
o
p
en
-
p
h
a
s
e
f
a
u
lt c
o
n
d
itio
n
(
f
a
u
lt
y
3
-
p
h
a
s
e
I
M)
u
s
i
n
g
Ma
tl
ab
/Si
m
u
li
n
k
ar
e
p
r
esen
ted
in
a
s
t
ep
b
y
s
tep
m
eth
o
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
Mo
d
ellin
g
o
f a
3
-
P
h
a
s
e
I
n
d
u
ct
io
n
Mo
to
r
u
n
d
er Op
e
n
-
P
h
a
s
e
F
a
u
lt Usin
g
Ma
tla
b
/S
imu
lin
k
(
M
.
Ja
n
n
a
ti
)
1152
T
h
e
p
r
esen
ted
m
o
d
el
w
a
s
v
er
if
ied
u
n
d
er
n
o
-
lo
ad
an
d
lo
ad
co
n
d
itio
n
s
.
I
t
is
co
n
cl
u
d
ed
th
at
it
is
p
o
s
s
ib
le
to
an
al
y
ze
t
h
e
b
eh
a
v
io
r
o
f
a
f
au
l
t
y
3
-
p
h
ase
I
M
u
s
i
n
g
Ma
tlab
/Si
m
u
lin
k
w
it
h
s
o
m
e
c
h
an
g
e
s
i
n
th
e
S
i
m
u
li
n
k
b
lo
ck
d
iag
r
a
m
o
f
a
h
ea
l
th
y
3
-
p
h
a
s
e
I
M.
I
n
t
h
e
f
u
t
u
r
e,
a
s
tu
d
y
i
s
to
b
e
co
n
d
u
cted
ap
p
l
y
i
n
g
a
s
tep
b
y
s
tep
Ma
tlab
/Si
m
u
l
in
k
i
m
p
le
m
e
n
tat
io
n
o
f
a
d
elta
-
co
n
n
ec
ted
3
-
p
h
a
s
e
I
M
u
n
d
er
o
p
en
-
p
h
ase
f
au
l
t c
o
n
d
itio
n
.
RE
F
E
R
E
NC
E
S
[1
]
S
.
L
i,
Y.
F
a
n
,
J.
F
a
n
g
,
W
.
Qi
n
,
G
.
L
v
,
a
n
d
J.H.
L
i
,
"
HT
S
a
x
ia
l
f
lu
x
in
d
u
c
ti
o
n
m
o
to
r
w
it
h
a
n
a
ly
ti
c
a
n
d
F
EA
m
o
d
e
li
n
g
"
,
Ph
y
sic
a
C:
S
u
p
e
rc
o
n
d
u
c
ti
v
it
y
,
v
o
l.
4
9
4
,
p
p
.
2
3
0
–
2
3
4
,
2
0
1
3
.
[2
]
S.
D.
S
u
d
h
o
f
f
,
B.
T
.
Ku
h
n
,
K.A
.
Co
rz
in
e
,
a
n
d
B.
T
.
Bra
n
e
c
k
y
,
"
M
a
g
n
e
ti
c
e
q
u
iv
a
len
t
c
ircu
it
m
o
d
e
li
n
g
o
f
in
d
u
c
ti
o
n
m
o
to
rs
"
,
IEE
E
T
ra
n
s
a
c
ti
o
n
s o
n
E
n
e
rg
y
Co
n
v
e
rs
io
n
,
v
o
l
.
2
2
,
n
o
.
2
,
p
p
.
2
5
9
–
2
7
0
,
2
0
0
7
.
[3
]
D.G
.
Do
rre
ll
a
n
d
F
.
Je
n
se
n
,
"
M
o
d
e
li
n
g
sp
li
t
-
p
h
a
se
in
d
u
c
ti
o
n
m
o
to
r
s
w
it
h
c
e
n
ter
-
tap
p
e
d
w
in
d
in
g
s
a
n
d
a
sy
n
c
h
ro
n
o
u
s
to
rq
u
e
d
i
p
s"
,
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
I
n
d
u
stry
Ap
p
li
c
a
t
io
n
s
,
v
o
l.
4
5
,
n
o
.
1
,
p
p
.
1
6
8
–
1
7
7
,
2
0
0
9
.
[4
]
E.
Ra
m
p
ra
s
a
th
a
n
d
P
.
M
a
n
o
jk
u
m
a
r
,
"
M
o
d
e
ll
in
g
a
n
d
A
n
a
ly
sis
o
f
I
n
d
u
c
t
io
n
M
o
t
o
r
u
sin
g
L
a
b
V
IEW
"
,
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r E
lec
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
,
v
o
l.
5
,
n
o
.
3
,
p
p
.
3
4
4
–
3
5
4
,
2
0
1
5
.
[5
]
J.
P
e
d
ra
,
I.
Ca
n
d
e
la,
a
n
d
L
.
S
a
i
n
z
,
"
M
o
d
e
ll
in
g
o
f
sq
u
irrel
-
c
a
g
e
in
d
u
c
ti
o
n
m
o
to
rs
f
o
r
e
lec
tro
m
a
g
n
e
ti
c
tran
sie
n
t
p
ro
g
ra
m
s
"
,
IET
El
e
c
tric P
o
we
r A
p
p
li
c
a
ti
o
n
s
,
v
o
l
.
3
,
n
o
.
2
,
p
p
.
1
1
1
–
1
2
2
,
2
0
0
9
.
[6
]
M
.
Ja
n
n
a
ti
,
T
.
S
u
ti
k
n
o
,
N.R.
N.
Id
ris,
a
n
d
M
.
J.A
.
A
z
iz,
"
M
o
d
e
li
n
g
o
f
Ba
lan
c
e
d
a
n
d
Un
b
a
la
n
c
e
d
T
h
re
e
-
P
h
a
se
In
d
u
c
ti
o
n
M
o
to
r
u
n
d
e
r
Ba
lan
c
e
d
a
n
d
Un
b
a
lan
c
e
d
S
u
p
p
ly
Ba
se
d
o
n
W
in
d
in
g
F
u
n
c
ti
o
n
M
e
t
h
o
d
"
,
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
t
e
r E
n
g
i
n
e
e
rin
g
,
v
o
l.
5
,
n
o
.
4
,
p
p
.
6
4
4
–
6
5
5
,
2
0
1
5
.
[7
]
S
.
H.
A
sg
a
ri,
M
.
Ja
n
n
a
ti
,
a
n
d
N.
R
.
N.
Id
ris,
"
M
o
d
e
li
n
g
o
f
th
re
e
-
p
h
a
se
in
d
u
c
ti
o
n
mo
t
o
r
wit
h
two
st
a
to
r
p
h
a
se
s
o
p
e
n
-
c
irc
u
it
"
,
In
2
0
1
4
IE
EE
C
o
n
f
e
re
n
c
e
o
n
E
n
e
rg
y
Co
n
v
e
rsio
n
(CENCON
)
,
2
0
1
4
,
p
p
.
2
3
1
–
2
3
6
.
[8
]
P
.
C.
Kra
u
se
,
"
A
n
a
l
y
sis o
f
El
e
c
tri
c
M
a
c
h
in
e
ry
"
,
M
c
G
ra
w
-
Hill
,
1
9
8
6
.
[9
]
M
.
Ja
n
n
a
ti
,
N.R
.
N.
I
d
ris,
a
n
d
Z.
S
a
lam
,
"
A
n
e
w
m
e
th
o
d
f
o
r
m
o
d
e
li
n
g
a
n
d
v
e
c
to
r
c
o
n
tro
l
o
f
u
n
b
a
lan
c
e
d
i
n
d
u
c
ti
o
n
m
o
to
rs"
,
In
En
e
rg
y
Co
n
v
e
rs
io
n
C
o
n
g
re
ss
a
n
d
Exp
o
siti
o
n
(
ECCE
)
,
2
0
1
2
,
p
p
.
3
6
2
5
–
3
6
3
2
.
Evaluation Warning : The document was created with Spire.PDF for Python.