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.
8
,
No
.
3
,
Sep
tem
b
er
2
0
1
7
,
p
p
.
1
1
2
8
~
1
1
3
8
I
SS
N:
2
0
8
8
-
8
6
9
4
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
p
ed
s
.
v8
i
3
.
pp
1
1
2
8
-
1138
1128
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
Perf
o
r
m
a
nce
Ana
ly
sis
o
f
I
ndirec
t
R
o
tor Field
O
ri
ent
a
tion
Five
Phas
e Induc
tion
M
o
tor
Using
Eig
ht
Sw
itch
Inv
erte
r
M
a
h
m
o
ud
M
.
E
l
k
ho
ly
1
,
Z
a
ka
ria
M
.
S.
E
lba
rba
ry
2
1
El
e
c
tri
c
a
l
P
o
w
e
r
a
n
d
M
a
c
h
i
n
e
s De
p
a
rtme
n
t,
F
a
c
u
lt
y
o
f
En
g
in
e
e
rin
g
,
Zag
a
z
ig
Un
iv
e
rsit
y
,
Za
g
a
z
ig
,
Eg
y
p
t
2
De
p
a
rtm
e
n
t
o
f
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
F
a
c
u
lt
y
o
f
E
n
g
in
e
e
rin
g
,
Ka
f
re
lsh
e
ik
h
Un
iv
e
rsit
y
,
E
g
y
p
t
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
De
p
a
rtm
e
n
t
,
F
a
c
u
lt
y
o
f
En
g
in
e
e
rin
g
,
Kin
g
Kh
a
li
d
Un
iv
e
rsit
y
,
A
b
h
a
,
S
a
u
d
i
A
ra
b
ia
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
Mar
1
7
,
2
0
1
7
R
ev
i
s
ed
J
u
l
2
2
,
2
0
1
7
A
cc
ep
ted
A
u
g
3
,
2
0
1
7
T
h
is
p
a
p
e
r
p
ro
p
o
se
s
n
e
w
to
p
o
l
o
g
y
o
f
f
iv
e
-
p
h
a
se
in
v
e
rter
w
it
h
re
d
u
c
e
d
n
u
m
b
e
r
o
f
sw
it
c
h
e
s
f
e
d
in
d
irec
t
ro
to
r
f
ield
o
rien
ted
f
iv
e
p
h
a
se
in
d
u
c
ti
o
n
m
o
to
r.
It
e
m
p
lo
y
s
o
n
ly
e
ig
h
t
IGBT
s
w
it
c
h
e
s
p
re
f
o
r
m
e
d
f
i
v
e
p
h
a
se
in
v
e
rter.
T
h
e
re
d
u
c
ti
o
n
o
f
th
e
n
u
m
b
e
r
o
f
p
o
w
e
r
s
w
it
c
h
e
s
f
ro
m
t
e
n
to
e
ig
h
t
im
p
ro
v
e
s
th
e
c
o
st
-
e
ff
e
c
ti
v
e
n
e
ss
,
v
o
lu
m
e
-
c
o
m
p
a
c
tn
e
ss
a
n
d
re
li
a
b
il
it
y
o
f
fiv
e
-
p
h
a
se
in
d
u
c
ti
o
n
m
o
to
r
d
riv
e
s
y
ste
m
.
S
im
u
latio
n
m
o
d
e
l
o
f
th
e
p
ro
p
o
se
d
d
riv
e
s
y
ste
m
is
d
e
v
e
lo
p
e
d
u
si
n
g
t
h
e
M
a
tl
a
b
/S
im
u
li
n
k
p
a
c
k
a
g
e
a
n
d
a
n
a
ly
z
e
d
to
v
e
ri
fy
th
e
e
ff
e
c
ti
v
e
n
e
ss
a
t
d
iff
e
r
e
n
t
o
p
e
ra
ti
n
g
c
o
n
d
i
ti
o
n
s
o
f
th
is
a
p
p
ro
a
c
h
.
T
h
e
c
o
m
p
a
riso
n
b
e
tw
e
e
n
th
e
p
e
rf
o
r
m
a
n
c
e
o
f
th
e
f
i
v
e
p
h
a
se
m
o
to
r
u
n
d
e
r
c
las
sic
a
l
t
e
n
s
w
it
c
h
in
v
e
rter
a
n
d
n
e
w
to
p
o
l
o
g
y
a
t
th
e
sa
m
e
o
p
e
r
a
ti
o
n
c
o
n
d
i
ti
o
n
s
h
a
s
b
e
e
n
il
l
u
stra
ted
.
T
h
e
p
ro
p
o
se
d
sy
ste
m
g
iv
e
s
si
m
il
a
r
o
p
e
ra
ti
o
n
s
a
s
c
las
si
c
a
l
ten
s
w
it
c
h
in
v
e
rter
fo
r
a
c
e
rtain
ra
n
g
e
o
f
m
o
to
r
sp
e
e
d
a
n
d
lo
a
d
to
rq
u
e
.
T
h
e
DC
v
o
lt
a
g
e
o
f
p
ro
p
o
se
d
in
v
e
rter
m
u
st
b
e
c
o
m
p
e
n
sa
te
d
to
h
ig
h
e
r
v
a
lu
e
to
a
c
h
iev
e
sa
m
e
p
e
rf
o
r
m
a
n
c
e
o
f
c
las
sic
a
l
ten
s
w
it
c
h
in
v
e
rter
in
a
ll
ra
n
g
e
o
f
m
o
to
r
sp
e
e
d
a
n
d
l
o
a
d
t
o
r
q
u
e
.
K
ey
w
o
r
d
:
E
ig
h
t
-
s
w
itc
h
i
n
v
er
ter
Field
o
r
ien
ted
c
o
n
tr
o
l
Fiv
e
p
h
a
s
e
i
n
d
u
ctio
n
m
o
to
T
en
-
s
w
itc
h
i
n
v
er
ter
Co
p
y
rig
h
t
©
201
7
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
ie
n
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
:
Ma
h
m
o
u
d
M.
E
lk
h
o
l
y
,
E
lectr
ical
P
o
w
er
a
n
d
Ma
ch
i
n
e
s
Dep
ar
t
m
en
t,
Facu
l
t
y
o
f
E
n
g
i
n
ee
r
in
g
,
Z
a
g
az
ig
U
n
i
v
er
s
it
y
,
Z
ag
az
i
g
,
E
g
y
p
t
,
P
.
O.
B
o
x
4
4
5
1
9
Z
ag
az
i
g
,
Al
B
ah
r
Stre
et,
Z
a
g
az
i
g
,
E
g
y
p
t
.
E
m
ail:
m
el
k
h
o
l
y
7
1
@
y
ah
o
o
.
co
m
1.
I
NT
RO
D
UCT
I
O
N
Mu
ltip
h
ase
d
r
iv
es
h
a
v
e
s
ev
er
al
ad
v
an
ta
g
es
o
v
er
co
n
v
en
tio
n
al
th
r
ee
-
p
h
a
s
e
d
r
iv
es
s
u
c
h
as:
r
ed
u
cin
g
m
o
to
r
p
h
ase
cu
r
r
e
n
t
w
i
th
o
u
t
in
cr
ea
s
in
g
th
e
p
h
ase
v
o
lta
g
e,
i
n
cr
ea
s
i
n
g
t
h
e
f
r
eq
u
e
n
c
y
an
d
r
ed
u
c
in
g
t
h
e
a
m
p
lit
u
d
e
o
f
to
r
q
u
e
p
u
l
s
atio
n
s
,
in
cr
ea
s
in
g
th
e
to
r
q
u
e
/
R
M
S
a
m
p
er
e
f
o
r
t
h
e
s
a
m
e
m
ac
h
i
n
e
v
o
lu
m
e
[
1
]
-
[
2
]
.
W
ith
t
h
e
ad
v
a
n
ce
m
en
t i
n
p
o
w
er
elec
tr
o
n
ics,
i
n
ter
est
in
m
u
l
ti
-
p
h
a
s
e
m
ac
h
i
n
e
h
as
b
ee
n
i
n
cr
e
ased
tr
e
m
e
n
d
o
u
s
l
y
as
h
i
g
h
p
o
w
er
elec
tr
o
n
ic
d
ev
i
ce
s
ar
e
u
s
ed
as
a
s
w
i
tch
i
n
v
o
ltag
e
s
o
u
r
ce
i
n
v
er
ter
(
VSI
)
.
T
o
in
cr
ea
s
e
p
o
w
er
s
y
s
te
m
lev
e
l,
t
w
o
ap
p
r
o
ac
h
es
ar
e
u
s
ed
;
t
h
e
f
ir
s
t
o
n
e
is
t
h
e
u
s
e
o
f
m
u
ltil
e
v
el
i
n
v
er
ter
s
s
u
p
p
ly
in
g
t
h
r
ee
-
p
h
ase
m
ac
h
in
e
s
[
3
]
-
[
4
]
.
T
h
e
s
ec
o
n
d
ap
p
r
o
ac
h
is
m
u
lti
-
le
g
in
v
er
ter
s
f
ed
m
u
ltip
h
a
s
e
m
ac
h
i
n
es
[
5
]
-
[
6
]
.
I
t
is
n
o
ted
th
at
th
e
s
i
m
ilar
it
y
b
e
t
w
ee
n
t
w
o
a
p
p
r
o
ac
h
es
,
in
m
u
lti
lev
el
i
n
v
e
r
ter
th
e
ad
d
itio
n
al
s
w
itc
h
i
n
g
d
ev
ices
in
cr
ea
s
e
t
h
e
n
u
m
b
er
o
f
v
o
lta
g
e
le
v
el
s
,
wh
ile
i
n
th
e
m
u
lt
i
le
g
i
n
v
er
te
r
,
th
e
ad
d
itio
n
al
n
u
m
b
er
o
f
s
w
itc
h
in
g
d
e
v
ice
s
in
cr
ea
s
es
t
h
e
n
u
m
b
er
o
f
p
h
as
es.
T
h
e
p
er
f
o
r
m
a
n
ce
u
n
d
er
f
au
lt
y
co
n
d
itio
n
s
in
v
o
lta
g
e
s
o
u
r
ce
in
v
er
ter
o
r
in
m
o
to
r
w
i
n
d
i
n
g
s
is
o
n
e
o
f
ad
v
an
tag
e
s
o
f
m
u
lti
p
h
a
s
e
m
o
to
r
[
7
]
-
[
1
0
]
.
T
w
o
tech
n
iq
u
e
s
ar
e
u
s
ed
in
f
i
v
e
p
h
a
s
e
in
v
er
ter
,
o
n
e,
is
t
h
e
ca
r
r
ier
b
ased
p
u
ls
e
w
id
t
h
m
o
d
u
lat
io
n
(
P
W
M)
an
d
th
e
o
th
er
i
s
th
e
s
p
ac
e
v
ec
to
r
m
o
d
u
latio
n
(
SVM)
[
1
1
]
-
[
1
4
]
.
T
h
is
p
ap
er
s
tu
d
y
a
n
e
w
i
n
v
er
ter
to
p
o
lo
g
y
to
f
ed
in
d
ir
ec
t
r
o
to
r
f
ield
o
r
ien
ted
f
iv
e
p
h
ase
in
d
u
c
tio
n
m
o
to
r
d
r
iv
e
s
y
s
te
m
.
T
h
is
i
n
v
er
ter
to
p
o
lo
g
y
co
n
s
i
s
ts
o
f
ei
g
h
t
s
w
itc
h
es
i
n
s
tead
o
f
te
n
s
w
i
tch
es,
t
w
o
s
w
itc
h
es
u
s
ed
f
o
r
ev
er
y
p
h
ase
a
n
d
th
e
f
if
t
h
p
h
ase
co
n
n
ec
ted
to
th
e
m
i
d
p
o
in
t
o
f
d
c
-
lin
k
ca
p
ac
ito
r
.
T
h
is
to
p
o
lo
g
y
o
f
th
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f I
n
d
ir
ec
t R
o
to
r
F
ield
Ori
en
ta
tio
n
F
i
ve
P
h
a
s
e
I
n
d
u
ctio
n
.
.
.
.
(
Ma
h
m
o
u
d
M.
E
lkh
o
ly)
1129
in
v
er
ter
i
n
tr
o
d
u
ce
s
m
a
n
y
ad
v
an
ta
g
e
s
co
m
p
ar
ed
to
tr
a
d
itio
n
al
ten
s
w
itc
h
i
n
v
er
ter
,
s
u
c
h
as,
co
m
p
ac
tn
e
s
s
,
s
i
m
p
lic
it
y
,
lo
w
co
s
t,
an
d
m
o
r
e
r
eliab
le.
T
o
en
s
u
r
e
th
e
v
alid
it
y
o
f
d
r
iv
e
s
y
s
te
m
w
i
th
t
h
e
p
r
o
p
o
s
ed
to
p
o
l
o
g
y
,
a
s
i
m
u
lat
io
n
s
o
f
t
h
e
s
y
s
te
m
is
m
ad
e
u
s
i
n
g
Si
m
u
l
in
k
/M
A
T
L
A
B
.
Si
m
u
la
tio
n
r
es
u
lts
ar
e
ca
r
r
ied
o
u
t
at
d
if
f
er
en
t
o
p
er
atin
g
co
n
d
itio
n
s
an
d
s
h
o
w
t
h
at
t
h
e
p
er
f
o
r
m
a
n
ce
ch
ar
a
cter
is
tics
ar
e
s
i
m
ilar
i
n
b
o
th
c
ases
o
f
cla
s
s
ical
te
n
s
w
it
c
h
in
v
er
ter
an
d
p
r
o
p
o
s
ed
eig
h
t
s
w
itc
h
in
v
er
ter
f
o
r
a
ce
r
tain
r
an
g
e
o
f
s
p
ee
d
an
d
lo
ad
t
o
r
q
u
e.
T
o
h
av
e
th
e
s
a
m
e
p
er
f
o
r
m
an
ce
f
o
r
all
r
a
n
g
e
o
f
s
p
ee
d
an
d
lo
ad
to
r
q
u
e
th
e
D
C
v
o
ltag
e
o
f
p
r
o
p
o
s
ed
in
v
er
ter
m
u
s
t
b
e
in
cr
ea
s
ed
.
2.
M
AT
H
E
M
AT
I
CAL M
O
DE
L
5
-
P
H
ASE
I
ND
UCT
I
O
N
M
O
T
O
R
Sq
u
ir
r
el
-
ca
g
e
f
i
v
e
-
p
h
ase
i
n
d
u
ctio
n
m
o
to
r
is
r
ep
r
esen
ted
i
n
i
ts
d
-
q
s
y
n
c
h
r
o
n
o
u
s
r
e
f
er
en
ce
f
r
a
m
e.
T
h
e
w
i
n
d
i
n
g
ax
e
s
o
f
f
iv
e
-
s
tato
r
w
i
n
d
i
n
g
ar
e
d
is
p
lace
d
b
y
7
2
elec
tr
ical
d
eg
r
ee
s
.
I
n
t
h
i
s
a
n
a
l
y
s
i
s
t
h
e
a
ir
g
ap
is
u
n
i
f
o
r
m
a
n
d
th
e
w
i
n
d
in
g
s
ar
e
s
in
u
s
o
id
al
d
is
tr
ib
u
ted
ar
o
u
n
d
th
e
air
g
ap
m
ag
n
etic
s
atu
r
ati
o
n
an
d
co
r
e
lo
s
s
es
ar
e
n
eg
lecte
d
.
As
f
o
r
t
h
e
t
h
r
ee
-
p
h
a
s
e
in
d
u
ctio
n
m
o
to
r
,
w
h
er
e
th
e
w
ell
-
k
n
o
w
n
d
-
q
r
o
tatin
g
r
ef
er
en
ce
i
s
u
s
ed
i
n
an
al
y
s
is
a
n
d
co
n
tr
o
l.
A
d
-
q
r
e
f
er
en
ce
f
r
a
m
e
is
also
u
s
ed
f
o
r
th
e
f
iv
e
-
p
h
ase
in
d
u
ct
io
n
m
o
t
o
r
.
T
h
e
f
iv
e
-
p
h
ase
in
d
u
ctio
n
m
ac
h
i
n
e
ca
n
b
e
m
o
d
eled
w
i
th
t
h
e
f
o
llo
w
in
g
v
o
ltag
e
eq
u
at
io
n
s
i
n
s
y
n
c
h
r
o
n
o
u
s
r
e
f
er
en
ce
f
r
a
m
e
[
1
5
]
-
[
1
6
]
.
T
h
e
q
-
d
s
tato
r
an
d
r
ef
er
r
ed
r
o
to
r
v
o
ltag
es a
r
e
g
iv
e
n
b
y
:
(
1
)
(
2
)
(
)
(
3
)
(
)
(
4
)
W
h
er
e,
,
,
,
ar
e
th
e
q
an
d
d
co
m
p
o
n
en
ts
o
f
s
t
a
to
r
v
o
ltag
e
an
d
f
lu
x
.
an
d
ar
e
th
e
q
an
d
d
co
m
p
o
n
e
n
t
o
f
s
ta
to
r
an
d
r
ef
er
r
ed
r
o
to
r
cu
r
r
en
ts
.
an
d
ar
e
s
tato
r
an
d
r
ef
er
r
ed
r
o
to
r
w
i
n
d
i
n
g
s
r
esis
ta
n
ce
.
is
t
h
e
s
p
ee
d
o
f
s
ta
to
r
f
ield
in
elec
r
ad
/s
.
is
t
h
e
r
o
to
r
s
p
ee
d
in
elec
r
ad
/s
.
Fo
r
th
e
s
tat
io
n
ar
y
r
ef
er
en
ce
f
r
a
m
e
=
0
,
s
u
b
s
titu
t
e
in
to
E
q
u
atio
n
s
1
to
4
y
ield
s
:
(
5
)
(
6
)
(
7
)
(
8
)
T
h
e
q
-
d
s
tato
r
f
lu
x
lin
k
ag
e
ar
e
g
iv
en
b
y
:
(
)
(
9
)
(
)
(
1
0
)
W
h
er
e;
an
d
ar
e
th
e
s
tato
r
leak
ag
e
an
d
m
u
tu
al
in
d
u
ctan
ce
.
T
h
e
q
-
d
r
ef
er
r
ed
r
o
to
r
f
lu
x
lin
k
ag
e
ar
e
g
iv
en
b
y
:
(
)
(
1
1
)
(
)
(
1
2
)
W
h
er
e;
is
th
e
r
o
to
r
leak
ag
e
in
d
u
ctan
ce
.
T
h
e
elec
tr
o
m
ag
n
etic
to
r
q
u
e
is
g
iv
en
b
y
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
3
,
Sep
te
m
b
er
2
0
1
7
:
1
1
2
8
–
1
1
3
8
1130
(
)
(
1
3
)
T
h
e
r
o
to
r
d
y
n
a
m
ic
E
q
u
at
io
n
is
:
(
1
4
)
W
h
er
e;
is
t
h
e
n
u
m
b
er
o
f
p
o
les,
is
th
e
m
o
m
e
n
t
o
f
in
er
ti
a
k
g
.
m
2
is
t
h
e
f
r
ictio
n
co
ef
f
i
cien
t
N.
m
.
s
/r
ad
.
T
o
ac
h
iev
e
in
d
ir
ec
t
r
o
to
r
f
ield
o
r
ien
ted
co
n
tr
o
l
o
f
f
iv
e
p
h
ase
in
d
u
ctio
n
m
o
t
o
r
th
e
co
m
p
o
n
e
n
t
m
u
s
t
eq
u
al
s
ze
r
o
.
I
n
th
is
ca
s
e,
t
h
e
r
ef
er
e
n
ce
v
al
u
e
o
f
q
u
ad
r
atu
r
e
cu
r
r
en
t
co
m
p
o
n
e
n
t
i
n
s
y
n
ch
r
o
n
o
u
s
r
o
tati
n
g
f
r
a
m
e
is
illu
s
tr
ated
as:
(
)
(
)
(
1
5
)
T
h
e
r
ef
er
en
ce
v
al
u
e
o
f
d
ir
ec
t c
u
r
r
en
t c
o
m
p
o
n
e
n
t i
n
s
y
n
c
h
r
o
n
o
u
s
r
o
tatin
g
f
r
a
m
e
is
g
i
v
en
a
s
:
(
)
(
1
6
)
T
h
e
an
g
u
lar
s
lip
f
r
eq
u
en
cy
co
m
m
an
d
(
*
sl
)
is
:
(
1
7
)
W
h
er
e;
is
th
e
r
o
to
r
tim
e
co
n
s
tan
t.
T
h
e
an
g
u
lar
f
r
eq
u
en
cy
ca
n
b
e
ca
lcu
lated
as:
(
1
8
)
∫
(
1
9
)
T
h
e
r
ef
er
en
ce
cu
r
r
en
ts
ca
n
b
e
g
iv
en
as:
{
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
(
)
}
(
2
0
)
W
ith
Field
o
r
ien
ted
co
n
tr
o
l,
th
e
m
o
to
r
to
r
q
u
e
is
g
iv
en
b
y
:
(
2
1
)
E
q
u
atio
n
(
2
1
)
is
s
i
m
ilar
to
th
a
t
o
f
th
e
s
ep
ar
atel
y
e
x
cited
d
c
m
o
to
r
an
d
d
en
o
tes
th
a
t
t
h
e
to
r
q
u
e
p
r
o
p
o
r
tio
n
al
to
th
e
q
u
ad
r
atu
r
e
co
m
p
o
n
en
t
o
f
th
e
s
ta
to
r
cu
r
r
en
t
(
)
if
t
h
e
f
lu
x
d
i
r
ec
t
ax
is
co
m
p
o
n
en
t
o
f
r
o
to
r
f
l
u
x
(
)
is
k
ep
t c
o
n
s
ta
n
t.
T
h
is
is
t
h
e
p
r
in
c
ip
le
o
f
f
ield
o
r
ien
ted
co
n
tr
o
l te
ch
n
iq
u
e.
3.
P
RO
P
O
SE
D
E
I
G
H
T
SW
I
T
CH
F
I
VE
P
H
AS
E
I
NV
E
R
T
E
R
T
h
e
p
r
o
p
o
s
ed
in
v
er
ter
h
as
r
ed
u
ce
d
s
w
itch
in
g
d
ev
ice
s
co
m
p
ar
ed
w
it
h
clas
s
ical
f
iv
e
p
h
a
s
e
in
v
er
ter
w
h
ic
h
co
n
s
i
s
ts
o
f
ten
s
w
itc
h
es
.
T
h
e
p
r
o
p
o
s
ed
in
v
er
ter
co
n
s
i
s
ts
o
f
eig
h
t
s
w
itc
h
es a
s
s
h
o
w
n
i
n
Fi
g
u
r
e
1.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f I
n
d
ir
ec
t R
o
to
r
F
ield
Ori
en
ta
tio
n
F
i
ve
P
h
a
s
e
I
n
d
u
ctio
n
.
.
.
.
(
Ma
h
m
o
u
d
M.
E
lkh
o
ly)
1131
V
d
c
2
V
d
c
2
S
A
d
a
b
c
5
p
h
I
M
e
S
A
S
B
S
C
S
D
S
B
S
C
S
D
g
2
g
4
g
6
g
7
g
5
g
8
g
3
g
1
Fig
u
r
e
1
.
E
ig
h
t
-
s
w
itc
h
p
r
o
p
o
s
ed
I
n
v
er
ter
T
h
e
m
o
d
u
lated
p
h
a
s
e
v
o
lta
g
e
s
o
f
cla
s
s
ica
l
te
n
s
w
i
tch
f
i
v
e
-
p
h
ase
i
n
v
er
ter
f
ed
f
iv
e
-
p
h
ase
in
d
u
ctio
n
m
o
to
r
ar
e
in
tr
o
d
u
ce
d
as
a
f
u
n
ctio
n
o
f
s
w
itc
h
i
n
g
lo
g
ic
N
A
,
NB
,
NC
,
ND
an
d
NE
o
f
p
o
w
er
s
w
i
tch
es
b
y
t
h
e
f
o
llo
w
i
n
g
r
elatio
n
:
[
]
[
]
[
]
(
2
2
)
T
h
e
s
w
itch
in
g
lo
g
ic
s
tate
m
ay
b
e
0
o
r
1
.
W
h
er
e,
1
i
s
f
o
r
ON
s
tate
an
d
0
is
f
o
r
OFF
s
tate.
T
h
e
s
w
itch
in
g
T
ab
le
o
f
class
ical
ten
s
w
itch
f
iv
e
p
h
as
e
in
v
er
ter
is
g
iv
en
in
T
ab
le
1
.
T
ab
le
1
.
T
h
e
s
w
itc
h
i
n
g
s
tates
o
f
ten
w
itc
h
f
iv
e
p
h
ase
i
n
v
er
te
r
NA
NB
NC
ND
NE
V
a
V
b
V
c
V
d
V
e
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
-
0
.
2
-
0
.
2
-
0
.
2
-
0
.
2
0
.
8
0
0
0
1
0
-
0
.
2
-
0
.
2
-
0
.
2
0
.
8
-
0
.
2
0
0
0
1
1
-
0
.
4
-
0
.
4
-
0
.
4
0
.
6
0
.
6
0
0
1
0
0
-
0
.
2
-
0
.
2
0
.
8
-
0
.
2
-
0
.
2
0
0
1
0
1
-
0
.
4
-
0
.
4
0
.
6
-
0
.
4
0
.
6
0
0
1
1
0
-
0
.
4
-
0
.
4
0
.
6
0
.
6
-
0
.
4
0
0
1
1
1
-
0
.
6
-
0
.
6
0
.
4
0
.
4
0
.
4
0
1
0
0
0
-
0
.
2
0
.
8
-
0
.
2
-
0
.
2
-
0
.
2
0
1
0
0
1
-
0
.
4
0
.
6
-
0
.
4
-
0
.
4
0
.
6
0
1
0
1
0
-
0
.
4
0
.
6
-
0
.
4
0
.
6
-
0
.
4
0
1
0
1
1
-
0
.
6
0
.
4
-
0
.
6
0
.
4
0
.
4
0
1
1
0
0
-
0
.
4
0
.
6
0
.
6
-
0
.
4
-
0
.
4
0
1
1
0
1
-
0
.
6
0
.
4
0
.
4
-
0
.
6
0
.
4
0
1
1
1
0
-
0
.
6
0
.
4
0
.
4
0
.
4
-
0
.
6
0
1
1
1
1
-
0
.
8
0
.
2
0
.
2
0
.
2
0
.
2
1
0
0
0
0
0
.
8
-
0
.
2
-
0
.
2
-
0
.
2
-
0
.
2
1
0
0
0
1
0
.
6
-
0
.
4
-
0
.
4
-
0
.
4
0
.
6
1
0
0
1
0
0
.
6
-
0
.
4
-
0
.
4
0
.
6
-
0
.
4
1
0
0
1
1
0
.
4
-
0
.
6
-
0
.
6
0
.
4
0
.
4
1
0
1
0
0
0
.
6
-
0
.
4
0
.
6
-
0
.4
-
0
.
4
1
0
1
0
1
0
.
4
-
0
.
6
0
.
4
-
0
.
6
0
.
4
1
0
1
1
0
0
.
4
-
0
.
6
0
.
4
0
.
4
-
0
.
6
1
0
1
1
1
0
.
2
-
0
.
8
0
.
2
0
.
2
0
.
2
1
1
0
0
0
0
.
6
0
.
6
-
0
.
4
-
0
.
4
-
0
.
4
1
1
0
0
1
0
.
4
0
.
4
-
0
.
6
-
0
.
6
0
.
4
1
1
0
1
0
0
.
4
0
.
4
-
0
.
6
0
.
4
-
0
.
6
1
1
0
1
1
0
.
2
0
.
2
-
0
.
8
0
.
2
0
.
2
1
1
1
0
0
0
.
4
0
.
4
0
.
4
-
0
.
6
-
0
.
6
1
1
1
0
1
0
.
2
0
.
2
0
.
2
-
0
.
8
0
.
2
1
1
1
1
0
0
.
2
0
.
2
0
.
2
0
.
2
-
0
.
8
1
1
1
1
1
0
0
0
0
0
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
3
,
Sep
te
m
b
er
2
0
1
7
:
1
1
2
8
–
1
1
3
8
1132
T
h
e
m
o
d
u
lated
p
h
ase
v
o
ltag
es
o
f
p
r
o
p
o
s
ed
eig
h
t
s
w
itch
f
iv
e
-
p
h
ase
in
v
er
ter
ar
e
in
tr
o
d
u
ce
d
as
a
f
u
n
ctio
n
o
f
s
w
itch
in
g
lo
g
ic
NA
,
NB
,
NC
an
d
ND
ar
e
d
ef
in
ed
as g
iv
en
in
E
q
u
atio
n
s
23
an
d
24
.
[
]
[
]
[
]
(
2
3
)
[
]
[
]
[
]
(
2
4
)
T
h
e
s
w
itch
in
g
tab
le
o
f
eig
h
t
s
w
itch
f
iv
e
p
h
ase
in
v
er
ter
is
s
h
o
w
n
in
T
ab
le
2
.
T
ab
le
2
.
T
h
e
s
w
itc
h
i
n
g
s
tate
s
o
f
eig
h
t s
w
i
tch
f
i
v
e
p
h
ase
i
n
v
e
r
ter
NA
NB
NC
ND
V
a
V
b
V
c
V
d
V
e
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
1
0
0
0
1
0
1
0
1
1
0
0
1
1
1
1
0
0
0
1
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
4.
P
RO
P
O
SE
D
I
ND
I
R
E
CT
R
O
T
O
R
F
I
E
L
D
O
RI
E
N
T
E
D
F
I
VE
P
H
AS
E
I
ND
UCT
I
O
N
M
O
T
O
R
T
h
e
p
r
in
cip
le
o
f
in
d
ir
ec
t
r
o
to
r
f
ield
o
r
ien
ted
co
n
tr
o
l
is
ap
p
lied
to
Fiv
e
-
p
h
a
s
e
in
d
u
ctio
n
m
o
to
r
.
T
h
e
ap
p
licatio
n
o
f
th
e
v
ec
to
r
co
n
tr
o
l
s
ch
e
m
e
to
s
u
ch
ar
r
an
g
e
m
e
n
t
is
s
i
m
p
le,
a
n
d
ca
n
p
r
o
v
id
e
f
a
s
t
-
d
ec
o
u
p
led
co
n
tr
o
l
o
f
to
r
q
u
e
an
d
f
l
u
x
.
T
h
e
d
escr
ip
tio
n
o
f
th
e
co
m
p
le
te
s
y
s
te
m
i
s
illu
s
tr
ated
in
F
ig
u
r
e
2.
V
d
c
2
V
d
c
2
S
2
S
A
d
a
b
c
5
p
h
I
M
e
S
A
S
B
S
C
S
D
S
B
S
C
S
D
g
2
g
4
g
6
g
7
+
-
P
I
T
*
y
d
r
*
i
q
s
e
*
i
d
s
e
*
+
-
+
-
+
-
+
-
g
2
N
O
T
g
2
g
4
N
O
T
g
3
g
6
N
O
T
g
5
g
8
N
O
T
g
7
g
5
g
8
g
3
g
1
i
a
i
a
*
i
b
*
i
c
*
i
d
*
i
b
i
c
i
d
*
s
l
+
r
e
+
r
I
n
d
i
r
e
c
t
F
i
e
l
d
O
r
i
e
n
t
e
d
C
o
n
t
r
o
l
l
e
r
d
e
–
q
e
t
o
a
b
c
d
e
T
r
a
n
s
f
o
r
m
a
t
i
o
n
ʃ
q
e
H
y
s
t
e
r
e
s
i
s
C
u
r
r
e
n
t
C
o
n
t
r
o
l
l
e
r
Fig
u
r
e
2
.
B
lo
ck
d
iag
r
a
m
o
f
s
p
ee
d
co
n
tr
o
l sy
s
te
m
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f I
n
d
ir
ec
t R
o
to
r
F
ield
Ori
en
ta
tio
n
F
i
ve
P
h
a
s
e
I
n
d
u
ctio
n
.
.
.
.
(
Ma
h
m
o
u
d
M.
E
lkh
o
ly)
1133
I
n
Fig
u
r
e
2
,
th
e
m
o
to
r
s
p
ee
d
,
is
co
m
p
ar
ed
to
a
r
ef
er
en
c
e
s
p
ee
d
,
ω
*
,
an
d
th
e
er
r
o
r
s
ig
n
al
i
s
p
r
o
ce
s
s
ed
b
y
th
e
P
I
c
o
n
tr
o
ller
,
to
g
en
er
ate
th
e
to
r
q
u
e
-
c
o
m
p
o
n
en
t
cu
r
r
e
n
t
co
m
m
a
n
d
as
s
h
o
w
n
i
n
E
q
u
atio
n
1
5
.
T
h
e
f
lu
x
-
co
m
p
o
n
en
t
o
f
cu
r
r
en
t
co
m
m
a
n
d
is
ca
lcu
lated
ac
co
r
d
i
n
g
to
ad
o
p
ted
co
n
tr
o
l
s
tr
ateg
y
a
s
g
i
v
e
n
in
E
q
u
atio
n
1
6
.
T
h
e
tw
o
cu
r
r
e
n
t
co
m
m
an
d
co
m
p
o
n
en
ts
ar
e
th
e
n
tr
an
s
f
o
r
m
ed
w
it
h
th
e
h
elp
o
f
r
o
to
r
p
o
s
itio
n
en
co
d
er
(
an
g
le
)
to
f
iv
e
c
u
r
r
en
t
co
m
m
a
n
d
s
in
t
h
e
s
tatio
n
ar
y
r
e
f
er
en
ce
fr
a
m
e
as
d
e
f
i
n
e.
i
n
E
q
u
atio
n
2
0
.
T
h
ese
cu
r
r
en
t
co
m
m
an
d
s
ar
e
th
e
n
co
m
p
ar
ed
to
t
h
e
ac
t
u
al
m
o
to
r
cu
r
r
en
t
s
b
y
h
y
s
ter
esi
s
cu
r
r
en
t c
o
n
tr
o
ller
to
g
en
er
ate
t
h
e
lo
g
ic
p
u
l
s
es
f
o
r
th
e
in
v
er
ter
s
w
itc
h
es.
5.
SI
M
UL
AT
I
O
N
S AN
D
D
I
SC
USSI
O
N
S
I
n
th
is
s
ec
tio
n
,
it i
s
as
s
u
m
ed
t
h
at
p
er
-
p
h
ase
p
ar
a
m
e
ter
s
a
n
d
r
atin
g
s
o
f
t
h
e
5
-
p
h
asei
n
d
u
ctio
n
m
o
to
r
ar
e
th
e
s
a
m
e
as
f
o
r
th
e
t
h
r
ee
-
p
h
a
s
e
m
o
to
r
d
u
e
to
t
h
e
lack
o
f
d
ata
o
f
5
-
p
h
a
s
e
m
o
to
r
.
T
h
e
p
ar
am
eter
s
o
f
th
e
m
o
to
r
ar
e
lis
ted
in
th
e
A
p
p
e
n
d
ix
.
T
h
e
s
y
s
te
m
is
d
e
v
elo
p
ed
an
d
s
i
m
u
lated
u
s
in
g
Ma
tL
ab
R
2
0
1
4
a.
Var
io
u
s
s
ce
n
ar
io
s
in
cl
u
d
in
g
s
p
ee
d
an
d
lo
ad
to
r
q
u
e
v
ar
iatio
n
s
ar
e
p
r
esen
ted
to
s
tu
d
y
t
h
e
p
er
f
o
r
m
an
ce
o
f
th
e
s
y
s
te
m
w
it
h
p
r
o
p
o
s
ed
to
p
o
lo
g
y
o
f
eig
h
t
s
w
itc
h
in
v
er
ter
a
n
d
cla
s
s
ical
t
en
s
w
itc
h
i
n
v
er
ter
.
T
h
e
r
esu
lt
s
o
f
p
r
o
p
o
s
ed
eig
h
t
s
w
itc
h
in
v
er
ter
ar
e
co
m
p
ar
ed
w
it
h
t
h
o
s
e
o
f
cla
s
s
ical
te
n
s
w
i
t
ch
in
v
er
ter
.
5
.
1
.
Si
m
ula
t
io
n Un
der
Dif
f
er
ent
Ref
er
ence
Sp
ee
d
s
I
n
th
i
s
ca
s
e
o
f
lo
ad
in
g
;
th
e
lo
ad
to
r
q
u
e
is
m
ai
n
tai
n
ed
co
n
s
t
an
t
at
5
N.
m
an
d
th
e
r
e
f
er
en
c
e
s
p
ee
d
is
ch
an
g
ed
f
r
o
m
5
0
r
ad
/s
(
4
7
7
.
4
6
4
8
r
p
m
)
to
1
0
0
r
ad
/s
(
9
5
4
.
9
2
9
7
r
p
m
)
at
t
=
2
s
an
d
th
en
to
1
5
0
r
ad
/s
(
1
4
3
2
.
4
r
p
m
)
at
t
=
4
s
an
d
to
1
2
0
r
ad
/s
(
1
1
4
5
.
9
r
p
m
)
at
t=6
s
a
s
s
h
o
w
n
i
n
Fi
g
u
r
e
3
.
I
t
ca
n
b
e
n
o
ti
ce
d
th
at
t
h
e
m
o
to
r
r
esp
o
n
s
e
in
ei
g
h
t
s
w
itc
h
in
v
er
ter
is
s
i
m
i
lar
to
th
at
to
ten
s
w
i
tch
an
d
th
e
er
r
o
r
b
et
w
ee
n
ac
t
u
al
s
p
ee
d
a
n
d
m
o
to
r
s
p
ee
d
is
in
s
ig
n
i
f
ica
n
t
a
n
d
m
o
t
o
r
r
esp
o
n
s
e
is
v
er
y
f
a
s
t
to
tr
a
ck
r
ef
er
e
n
ce
s
p
ee
d
.
T
h
e
m
o
to
r
p
h
ase
cu
r
r
en
t
s
ar
e
id
en
tical
i
n
b
o
th
in
v
er
ter
tech
n
iq
u
es
f
o
r
lo
w
er
r
an
g
e
o
f
s
p
ee
d
s
u
p
to
1
0
0
r
ad
/s
as
s
h
o
w
n
i
n
Fi
g
u
r
e
4
.
I
t’
s
s
h
o
w
n
th
a
t
f
o
r
h
ig
h
er
s
p
ee
d
as
s
h
o
w
n
i
n
Fi
g
u
r
e
5
at
1
5
0
r
a
d
/s
th
e
ac
t
u
al
a
n
d
r
ef
er
en
ce
c
u
r
r
en
t
ar
e
th
e
s
a
m
e
f
o
r
clas
s
ical
1
0
s
w
itc
h
i
n
v
er
te
r
.
B
u
t,
i
n
p
r
o
p
o
s
ed
8
s
w
itc
h
i
n
v
er
ter
th
e
er
r
o
r
b
et
w
ee
n
t
h
e
r
ef
er
en
ce
a
n
d
ac
t
u
al
m
o
to
r
cu
r
r
en
t
is
s
i
g
n
i
f
ica
n
t
a
n
d
t
h
e
ac
t
u
al
c
u
r
r
en
t
s
ar
e
n
o
n
-
s
i
n
u
s
o
id
al
a
n
d
t
h
e
m
o
to
r
p
ea
k
c
u
r
r
en
t
is
h
i
g
h
er
th
an
o
n
e
o
f
1
0
s
w
i
tch
in
v
er
ter
.
T
h
er
ef
o
r
e,
th
e
lo
ad
to
r
q
u
e
o
f
8
s
w
itc
h
i
n
v
er
ter
m
u
s
t
b
e
lo
w
er
t
h
a
n
o
n
e
o
f
1
0
s
w
itc
h
at
th
i
s
s
p
ee
d
to
av
o
id
m
o
to
r
o
v
er
h
ea
ti
n
g
.
T
h
is
a
d
r
aw
b
ac
k
o
f
8
s
w
itc
h
i
n
v
er
ter
t
h
a
t a
t sp
ee
d
s
n
ea
r
r
ated
v
alu
e
th
e
m
o
to
r
co
n
tr
o
l
f
ail
s
to
ac
h
iev
e
f
ield
o
r
ien
tatio
n
as
s
h
o
w
n
i
n
F
ig
u
r
e
6
(
h
a
s
v
alu
e
at
s
p
ee
d
1
5
0
an
d
1
2
0
r
ad
/s
)
an
d
m
o
to
r
cu
r
r
en
t
is
h
i
g
h
er
th
a
n
1
0
s
w
itc
h
in
v
er
ter
.
T
h
e
r
ea
s
o
n
o
f
th
is
d
is
ad
v
an
ta
g
e
is
th
e
m
o
to
r
v
o
ltag
e
in
8
s
w
itc
h
is
i
n
s
u
f
f
ic
ien
t
to
g
i
v
e
r
ated
r
ef
er
e
n
ce
f
lu
x
(
0
.
9
V/r
ad
/s
)
as
ill
u
s
t
r
ated
in
Fi
g
u
r
e
7
as
h
as
v
alu
e
lo
w
er
th
an
0
.
9
at
1
5
0
an
d
1
2
0
r
ad
/s
.
T
h
e
s
o
lu
tio
n
o
f
th
is
p
r
o
b
lem
w
il
l
b
e
p
r
esen
ted
in
s
ec
.
(
5
.
3
)
in
th
is
p
ap
er
.
Fig
u
r
e
3
.
Var
iatio
n
o
f
m
o
to
r
s
p
ee
d
w
i
th
ti
m
e
at
co
n
s
ta
n
t lo
ad
to
r
q
u
e
o
f
5
N.
m
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
3
,
Sep
te
m
b
er
2
0
1
7
:
1
1
2
8
–
1
1
3
8
1134
Fig
u
r
e
4
.
Var
iatio
n
o
f
ac
tu
a
l a
n
d
r
ef
er
en
ce
m
o
to
r
cu
r
r
en
t a
g
ain
s
t t
i
m
e
at
s
Fig
u
r
e
5
.
Var
iatio
n
o
f
ac
tu
a
l a
n
d
r
ef
er
en
ce
m
o
to
r
cu
r
r
en
t a
g
ain
s
t t
i
m
e
at
Fig
u
re
6
.
Var
iatio
n
o
f
q
u
ad
r
atu
r
e
r
o
to
r
f
lu
x
v
er
s
u
s
ti
m
e
at
c
o
n
s
ta
n
t lo
ad
to
r
q
u
e
o
f
5
N.
m
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f I
n
d
ir
ec
t R
o
to
r
F
ield
Ori
en
ta
tio
n
F
i
ve
P
h
a
s
e
I
n
d
u
ctio
n
.
.
.
.
(
Ma
h
m
o
u
d
M.
E
lkh
o
ly)
1135
Fig
u
r
e
7
.
Var
iatio
n
o
f
d
ir
ec
t r
o
to
r
f
lu
x
v
er
s
u
s
ti
m
e
at
co
n
s
ta
n
t lo
ad
to
r
q
u
e
o
f
5
N.
m
5
.
2
.
Respo
ns
e
w
it
h Dif
f
er
ent
L
o
a
d T
o
rque
s
I
n
t
h
is
s
ce
n
ar
io
o
f
lo
ad
in
g
;
t
h
e
r
e
f
er
en
c
e
s
p
ee
d
is
co
n
s
tan
t
at
1
0
0
r
ad
/s
(
9
5
4
.
9
2
9
7
r
p
m
)
an
d
lo
ad
to
r
q
u
e
is
c
h
an
g
ed
f
r
o
m
1
N.
m
to
3
N.
m
at
t =
2
s
an
d
th
e
n
to
7
N.
m
at
t =
4
s
an
d
to
5
N.
m
a
t t=
6
s
a
s
s
h
o
w
n
i
n
Fig
u
r
e
8.
T
h
e
m
o
to
r
d
ev
elo
p
ed
r
eq
u
ir
ed
r
ef
er
en
ce
to
r
q
u
e
at
r
ef
er
en
ce
s
p
ee
d
in
b
o
th
t
w
o
in
v
er
ter
tec
h
n
iq
u
e
a
s
s
h
o
w
n
i
n
Fi
g
u
r
e
8
an
d
Fig
u
r
e
9
r
esp
ec
tiv
el
y
.
T
h
e
m
o
to
r
cu
r
r
en
ts
in
b
o
th
in
v
er
t
er
tech
n
iq
u
e
s
ar
e
ap
p
r
o
x
im
a
tel
y
s
i
m
i
lar
as
illu
s
t
r
ated
in
Fig
u
r
e
1
0
.
T
h
is
s
i
m
i
la
r
it
y
in
m
o
to
r
cu
r
r
en
t
s
is
d
u
e
to
th
e
m
o
to
r
in
b
o
th
in
v
er
ter
s
ac
h
ie
v
es
f
ield
o
r
ien
t
atio
n
(
)
w
i
th
r
e
f
er
en
ce
f
lu
x
(
V/r
ad
/s
)
as
s
h
o
w
n
i
n
Fi
g
u
r
e
11
an
d
1
2
r
esp
ec
tiv
el
y
.
Fig
u
r
e
8
.
Var
iatio
n
o
f
d
ev
elo
p
ed
an
d
lo
ad
to
r
q
u
es
w
i
th
ti
m
e
at
co
n
s
ta
n
t r
ef
er
en
ce
s
p
ee
d
o
f
1
0
0
r
a
d
/s
Fig
u
r
e
9
.
Var
iatio
n
o
f
m
o
to
r
s
p
ee
d
v
er
s
u
s
ti
m
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
3
,
Sep
te
m
b
er
2
0
1
7
:
1
1
2
8
–
1
1
3
8
1136
Fig
u
r
e
10
.
Var
iatio
n
o
f
ac
tu
al
an
d
r
ef
er
en
ce
m
o
to
r
cu
r
r
en
t a
g
ain
s
t ti
m
e
w
it
h
Fig
u
r
e
11
.
Var
iatio
n
o
f
q
u
ad
r
atu
r
e
r
o
to
r
f
lu
x
v
er
s
u
s
ti
m
e
Fig
u
r
e
12
.
Var
iatio
n
o
f
d
ir
ec
t r
o
to
r
f
lu
x
v
er
s
u
s
ti
m
e
5
.
3
.
Respo
ns
e
a
t
H
ig
her
D
C
Va
l
ue
I
t
n
o
ti
ce
d
th
a
t
f
r
o
m
ab
o
v
e
r
e
s
u
lt
s
t
h
at
t
w
o
tech
n
iq
u
e
s
o
f
i
n
v
er
ter
s
ar
e
s
i
m
ilar
f
o
r
ce
r
tai
n
r
an
g
e
o
f
m
o
to
r
s
p
ee
d
an
d
lo
ad
to
r
q
u
e.
B
u
t
th
e
d
if
f
er
en
ce
b
et
w
ee
n
t
w
o
in
v
er
ter
s
ap
p
ea
r
s
w
h
e
n
th
e
m
o
to
r
v
o
ltag
e
i
n
eig
h
t
s
w
itc
h
in
v
er
ter
is
i
n
s
u
f
f
icien
t
to
d
ev
elo
p
r
eq
u
ir
ed
s
p
ee
d
an
d
lo
ad
to
r
q
u
e.
T
h
is
d
iv
er
s
it
y
ca
n
b
e
eli
m
i
n
ated
b
y
i
n
cr
ea
s
i
n
g
th
e
DC
v
o
ltag
e
o
f
8
s
w
i
tch
in
v
er
t
er
to
7
0
0
V
in
s
tead
o
f
5
1
2
V
i
n
1
0
s
w
i
tch
i
n
v
er
ter
.
T
h
e
m
o
to
r
cu
r
r
e
n
ts
i
n
b
o
th
i
n
v
er
ter
s
ar
e
s
i
m
ilar
at
r
e
f
er
en
c
e
s
p
ee
d
o
f
1
5
0
r
ad
/s
an
d
lo
ad
to
r
q
u
e
o
f
1
N.
m
a
n
d
7
N.
m
a
s
s
h
o
w
n
i
n
Fi
g
u
r
e
1
3
an
d
1
4
r
esp
ec
tiv
el
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f I
n
d
ir
ec
t R
o
to
r
F
ield
Ori
en
ta
tio
n
F
i
ve
P
h
a
s
e
I
n
d
u
ctio
n
.
.
.
.
(
Ma
h
m
o
u
d
M.
E
lkh
o
ly)
1137
Fig
u
r
e
13
.
Var
iatio
n
o
f
m
o
to
r
cu
r
r
en
t a
g
a
in
s
t ti
m
e
an
d
in
8
s
w
itc
h
in
v
er
ter
at
Fig
u
r
e
14
.
Var
iatio
n
o
f
m
o
to
r
cu
r
r
en
t a
g
a
in
s
t ti
m
e
an
d
in
8
s
w
itc
h
in
v
er
ter
at
6.
CO
NCLU
SI
O
N
I
n
th
i
s
p
ap
er
,
th
e
p
er
f
o
r
m
a
n
c
e
ch
ar
ac
ter
is
tics
o
f
v
ec
to
r
co
n
tr
o
l
f
o
r
f
iv
e
p
h
ase
i
n
d
u
c
tio
n
m
o
to
r
w
it
h
eig
h
t
s
w
itc
h
f
iv
e
p
h
a
s
e
i
n
v
er
ter
h
a
v
e
b
ee
n
p
r
esen
ted
T
h
e
p
r
o
p
o
s
ed
in
v
er
ter
r
ed
u
ce
t
h
e
n
u
m
b
er
o
f
p
o
w
er
s
w
itc
h
es
f
r
o
m
t
e
n
to
eig
h
t
an
d
th
is
i
m
p
r
o
v
es
t
h
e
co
s
t
an
d
r
eliab
ilit
y
o
f
th
e
s
y
s
te
m
.
T
h
e
s
y
s
te
m
i
s
s
i
m
u
lated
w
it
h
s
u
d
d
en
ch
a
n
g
e
in
s
p
ee
d
an
d
lo
ad
to
r
q
u
e
an
d
th
e
r
esu
lt
s
e
n
s
u
r
e
th
a
t
t
h
e
m
o
to
r
p
er
f
o
r
m
an
ce
w
ith
p
r
o
p
o
s
ed
eig
h
t
s
w
itc
h
i
n
v
er
te
r
is
s
i
m
ilar
to
th
o
s
e
o
f
te
n
s
w
i
tc
h
i
n
v
er
ter
f
o
r
ce
r
tain
r
an
g
e
o
f
m
o
to
r
s
p
ee
d
an
d
lo
ad
to
r
q
u
e.
T
h
e
DC
v
o
lta
g
e
o
f
p
r
o
p
o
s
ed
eig
h
t
s
w
i
tch
in
v
er
ter
m
u
s
t
b
e
co
m
p
en
s
a
ted
to
h
ig
h
er
v
alu
e
to
ac
h
iev
e
s
a
m
e
p
er
f
o
r
m
an
ce
o
f
class
ical
te
n
s
w
i
tch
i
n
v
er
ter
in
all
r
an
g
e
o
f
m
o
to
r
s
p
ee
d
an
d
lo
ad
to
r
q
u
e.
AP
P
E
NDI
X
Mo
to
r
p
ar
am
eter
s
:
R
ated
p
o
w
er
1
.
1
k
W
R
ated
Vo
ltag
e
2
2
0
/3
8
0
V
R
ated
f
r
eq
u
e
n
c
y
5
0
Hz
P
o
les
4
R
ated
v
o
lta
g
e
2
2
0
/3
8
0
V
Stato
r
r
esis
tan
ce
7
.
4
8
2
6
Ω
R
ef
er
r
ed
r
o
to
r
r
esis
tan
ce
3
.
6
8
4
0
Ω
Stato
r
leak
ag
e
i
n
d
u
c
tan
ce
0
.
0
2
2
1
H
R
ef
er
r
ed
r
o
to
r
leak
ag
e
in
d
u
ct
a
n
ce
0
.
0
2
2
1
H
m
u
tu
al
i
n
d
u
c
tan
ce
0
.
4
1
1
4
H
Mo
m
en
t o
f
in
er
tia
0
.
0
2
Kg
.
m
2
Evaluation Warning : The document was created with Spire.PDF for Python.