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
.
2
,
J
u
n
e
201
7
,
p
p
.
584
~
5
9
2
I
SS
N:
2088
-
8
694
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
p
ed
s
.
v
8
i
2
.
pp
5
8
4
-
592
584
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
ultilevel Inv
ert
er F
ed
Sw
itched
Reluctance
Mo
tors
(
SRM
s)
6
/4
,
8
/6
and 1
0
/8
SRM G
eo
m
e
tric
Ty
pes
Na
bil
F
a
ra
h
1
,
M
.
H
.
N.
T
a
lib
2
,
J
urif
a
L
a
zi
3
,
M
a
j
ed
Abo
Ali
4
,
Z.
I
bra
hi
m
5
F
KE,
Un
iv
e
rs
iti
T
e
k
n
ik
a
l
M
a
la
y
s
ia
M
e
lak
a
,
M
a
lac
c
a
,
M
a
la
y
sia
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
J
an
9
,
2
0
1
7
R
ev
i
s
ed
Ma
r
9
,
2
0
1
7
A
cc
ep
ted
Ma
r
2
3
,
2
0
1
7
No
w
a
d
a
y
s
p
o
w
e
r
e
le
c
tro
n
ics
c
ircu
it
s
a
re
e
m
b
e
d
d
e
d
t
o
m
o
st
o
f
e
lec
tri
c
a
l
a
p
p
li
c
a
ti
o
n
a
re
a
s.
T
h
is
a
p
p
ro
a
c
h
e
d
o
ff
e
rs
a
g
re
a
t
c
o
n
tro
l
m
e
c
h
a
n
ism
w
it
h
sim
p
le
a
n
d
e
a
s
y
c
ir
c
u
it
c
o
n
f
ig
u
ra
ti
o
n
.
S
w
it
c
h
e
d
Re
lu
c
tan
c
e
M
o
to
r
(S
RM
)
is
o
n
e
o
f
th
e
m
o
st
re
c
e
n
t
a
p
p
a
ra
tu
s
w
h
ich
d
ra
ws
a
g
re
a
t
n
u
m
b
e
r
o
f
re
se
a
rc
h
e
rs’
in
tere
sts.
P
re
v
io
u
sly
se
v
e
ra
l
a
tt
e
m
p
ts
a
re
m
a
d
e
to
u
se
th
e
p
o
w
e
r
c
o
n
v
e
rters
a
s
d
riv
e
r
f
o
r
S
RM
su
c
h
a
s
V
o
lt
a
g
e
S
o
u
rc
e
In
v
e
rter
(V
S
I)
a
n
d
b
ri
d
g
e
c
o
n
v
e
rters
.
T
h
is
p
a
p
e
r
p
re
se
n
ts
a
n
a
n
a
ly
sis
stu
d
y
o
f
th
re
e
lev
e
l
in
v
e
rter
to
c
o
n
tro
l
th
e
S
RM
.
T
h
e
in
v
e
rter
is
c
o
n
tro
ll
e
d
u
sin
g
sp
a
c
e
v
e
c
to
r
m
o
d
u
latio
n
S
V
M
.
T
h
e
a
im
o
f
th
is
p
a
p
e
r
is
to
re
p
o
rt
th
e
u
se
th
e
m
u
lt
il
e
v
e
l
in
v
e
rter
to
b
e
fe
d
in
to
t
h
e
S
RM
.
T
h
e
im
p
le
m
e
n
tatio
n
o
f
th
e
m
u
lt
il
e
v
e
l
in
v
e
rter i
s ab
l
to
re
d
u
c
e
th
e
T
o
tal
Ha
r
m
o
n
ics
Disto
rti
o
n
(T
HD
).
P
e
rf
o
r
m
a
n
c
e
c
o
m
p
a
riso
n
a
re
m
a
d
e
b
e
tw
e
e
n
th
e
m
u
lt
il
e
v
e
l
a
n
d
p
re
v
io
u
s
p
o
w
e
r
e
lec
tro
n
ics
c
ircu
it
s
th
a
t
a
p
p
li
e
d
to
th
e
S
RM
.
T
h
e
si
m
u
latio
n
re
su
lt
s h
a
v
e
b
e
e
n
c
o
n
d
u
c
ted
b
y
M
ATLA
B/S
IM
UL
IN
K
so
f
t
w
a
re
.
K
ey
w
o
r
d
:
I
n
v
er
ter
Mu
ltil
e
v
el
i
n
v
er
ter
SR
M
SVM
T
HD
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
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
:
Nab
il Far
ah
,
Facu
lt
y
o
f
E
lectr
ical
E
n
g
in
ee
r
in
g
,
C
en
ter
f
o
r
R
o
b
o
tics
an
d
I
n
d
u
s
tr
ial
Au
to
m
atio
n
(
C
e
R
I
A
)
,
Un
i
v
er
s
iti T
ek
n
ik
al
Ma
la
y
s
ia
Me
lak
a,
Me
lak
a,
Ma
la
y
s
ia.
E
-
m
a
il:
M0
1
1
5
1
0
0
1
9
@
s
tu
d
en
t.u
te
m
.
ed
u
.
m
y
1.
I
NT
RO
D
UCT
I
O
N
I
n
th
e
elec
tr
ical
m
o
to
rs
d
r
iv
e
s
y
s
te
m
,
o
n
e
o
f
t
h
e
m
o
s
t i
m
p
o
r
t
an
t
p
ar
ts
is
to
d
esig
n
a
d
r
iv
er
c
ir
cu
it t
h
at
ca
n
ef
f
icie
n
tl
y
d
r
iv
e
t
h
e
m
o
to
r
to
p
r
o
d
u
ce
th
e
d
esire
d
o
u
tp
u
t.I
n
t
h
e
ca
s
e
o
f
th
e
S
w
itc
h
ed
R
elu
c
tan
ce
Mo
to
r
(
SR
M)
m
a
n
y
r
esear
c
h
er
s
h
a
v
e
f
o
cu
s
o
n
p
r
o
d
u
c
in
g
s
u
i
tab
le
d
r
iv
er
s
f
o
r
th
e
SR
M
[
1
]
-
[
3
]
.
V
ar
io
u
s
t
y
p
e
an
d
co
n
s
tr
u
ct
io
n
o
f
t
h
e
S
R
M
m
o
t
o
r
h
av
e
b
ee
n
p
r
o
p
o
s
ed
w
h
ich
m
ai
n
ly
a
d
i
f
f
er
en
t
in
th
e
e
m
p
lo
y
ed
p
h
a
s
e
,
t
h
e
n
u
m
b
er
o
f
s
tato
r
/r
o
to
r
p
o
les
u
s
ed
an
d
to
r
q
u
e
p
r
o
d
u
ctio
n
m
e
ch
an
i
s
m
[
2
]
.
I
n
th
i
s
p
ap
er
,
th
r
ee
co
m
m
o
n
l
y
t
y
p
e
o
f
SR
M
m
o
to
r
s
ar
e
u
s
ed
w
h
ic
h
ca
n
b
e
d
is
ti
n
g
u
i
s
h
ed
b
y
t
h
e
n
u
m
b
er
o
f
p
h
ase
.
All
th
e
SR
M
m
o
to
r
s
h
o
w
e
v
er
h
av
e
s
i
m
ilar
p
ar
a
m
eter
s
as
s
h
o
w
n
in
T
ab
le
1
.
A
ll
t
h
e
S
R
M
s
ar
e
a
n
al
y
ze
d
b
ased
o
n
t
w
o
d
i
f
f
er
en
t
co
n
tr
o
l
m
ec
h
a
n
i
s
m
w
h
ic
h
ar
e
p
o
w
er
co
n
v
er
ter
a
n
d
m
u
lt
ilev
e
l
in
v
er
ter
.
T
h
e
d
is
cu
s
s
io
n
a
r
e
f
o
cu
s
ed
o
n
t
h
e
co
n
s
tr
u
ct
io
n
,
co
n
tr
o
l
m
ec
h
a
n
i
s
m
a
n
d
p
er
f
o
r
m
an
ce
co
m
p
ar
i
s
o
n
r
esu
lt.
T
ab
le
1
.
SR
M
Mo
to
r
P
ar
am
et
er
s
S
t
a
t
o
r
r
e
si
st
a
n
c
e
(
o
h
m)
0
.
0
1
I
n
e
r
t
i
a
(
k
g
.
m.m)
0
.
0
8
2
F
r
i
c
a
t
i
o
n
(
N
.
m.s)
0
.
0
1
I
n
i
t
i
a
l
s
p
e
e
d
a
n
d
p
o
s
i
t
i
o
n
[
0
0
]
U
n
a
l
i
g
n
e
d
i
n
d
u
c
t
a
n
c
e
(
H
)
0
.
6
7
e
-
3
A
l
i
g
n
e
d
i
n
d
u
c
t
a
n
c
e
(
H
)
2
3
.
6
e
-
3
S
a
t
u
r
a
t
e
d
a
l
i
g
n
e
d
i
n
d
u
c
t
a
n
c
e
(
H
)
0
.
1
5
e
-
3
M
a
x
i
m
u
m
c
u
r
r
e
n
t
(
A
)
4
5
0
M
a
x
i
m
u
m
f
l
u
x
l
i
n
k
a
g
e
(
V
.
s)
0
.
4
8
6
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2088
-
8
694
Mu
ltil
ev
el
I
n
ve
r
ter F
ed
S
w
itch
ed
R
elu
cta
n
ce
Mo
t
o
r
s
(
S
R
Ms
)
6
/4
,
8
/6
….
(
N
a
b
il F
a
r
a
h
)
585
Fig
u
r
e
1
(
a)
s
h
o
w
s
t
h
e
b
a
s
ic
an
d
s
i
m
p
lest
t
y
p
e
o
f
S
R
M
m
o
to
r
w
h
ic
h
h
as 6
s
ta
to
r
p
o
les an
d
4
r
o
to
r
p
o
les
as
th
e
n
a
m
e
g
i
v
en
6
/4
SR
M
.
T
h
e
m
o
tio
n
o
f
t
h
is
m
o
t
o
r
is
p
r
o
d
u
ce
d
d
u
e
to
th
e
v
ar
iab
le
r
elu
ctan
ce
i
n
t
h
e
air
g
ap
b
et
w
ee
n
t
h
e
s
tato
r
an
d
r
o
to
r
w
i
n
d
in
g
s
.
A
s
in
g
le
m
ag
n
etic
f
ield
i
s
p
r
o
d
u
ce
d
by
th
e
r
o
to
r
w
in
d
i
n
g
ac
tiv
atio
n
.
T
h
en
t
h
e
to
r
q
u
e
i
s
p
r
o
d
u
ce
d
b
y
th
e
t
e
n
d
en
c
y
o
f
t
h
e
r
o
to
r
to
m
o
v
e
to
its
r
elu
cta
n
ce
p
o
s
itio
n
.
F
ig
u
r
e
1
(
a)
also
ill
u
s
tr
ates
t
h
e
6
/4
SR
M
in
th
e
ca
s
e
o
f
a
r
o
to
r
p
o
le
is
alig
n
ed
w
it
h
a
s
t
ato
r
p
o
le,
d
u
e
to
th
e
f
ield
li
n
es
ar
e
o
r
th
o
g
o
n
al
to
t
h
e
s
u
r
f
ac
e
s
t
h
er
e
is
n
o
to
r
q
u
e
w
il
l
b
e
p
r
o
d
u
ce
d
[
4
]
.
T
h
e
d
if
f
er
en
ce
b
et
w
ee
n
t
h
is
m
o
to
r
an
d
o
t
h
er
t
y
p
e
s
o
f
m
o
t
o
r
co
n
s
tr
u
ctio
n
i
s
o
n
l
y
th
e
n
u
m
b
er
o
f
p
h
ased
e
m
p
lo
y
ed
a
s
w
ell
as
th
e
s
h
ap
e
o
f
th
e
co
n
f
i
g
u
r
atio
n
.
(
a)
(
b
)
(
c)
Fig
u
r
e
1
.
SR
M
t
y
p
e
s
(
a)
6
/4
S
R
M,
(
b
)
8
/6
SR
M,
(
c)
1
0
/8
SR
M
Fig
u
r
e
1
(
b
)
s
h
o
w
s
t
h
e
8
/6
S
R
M
t
y
p
e
co
n
s
tr
u
ct
io
n
.
I
n
g
e
n
er
al
th
e
8
/6
S
R
M
h
as
a
n
i
n
cr
ea
s
ed
o
f
t
h
e
n
u
m
b
er
o
f
p
h
a
s
es
e
m
p
lo
y
ed
co
m
p
ar
ed
to
6
/4
SR
M
h
o
w
e
v
er
th
e
m
o
to
r
p
ar
a
m
eter
s
ar
e
k
ee
p
m
ain
tain
.
T
h
e
o
p
er
atio
n
p
r
in
cip
le
to
p
r
o
d
u
ce
m
o
tio
n
is
n
o
d
if
f
er
en
t
f
r
o
m
th
e
6
/4
SR
M
t
y
p
e
.
T
h
e
t
o
r
q
u
e
is
p
r
o
d
u
ce
d
b
y
ac
tiv
ati
n
g
t
h
e
s
tato
r
p
h
a
s
e
w
h
ic
h
w
ill
attr
ac
t
t
h
e
m
o
s
t
ad
j
ac
en
t
r
o
to
r
p
o
le
p
air
an
d
th
e
n
m
in
i
m
ize
th
e
r
elu
ctan
ce
o
f
t
h
e
m
a
g
n
e
tic
p
ath
.
As
a
r
esu
lt
,
co
n
s
ta
n
t
to
r
q
u
e
is
d
ev
elo
p
ed
d
u
e
th
e
ac
tiv
at
io
n
o
f
co
n
s
ec
u
tiv
e
p
h
ases
o
f
s
tato
r
in
s
u
c
ce
s
s
io
n
.
T
h
er
ef
o
r
e,
th
e
SR
M
is
an
ele
ctr
ical
m
o
to
r
in
w
h
ic
h
th
e
to
r
q
u
e
is
p
r
o
d
u
ce
d
d
u
e
to
th
e
te
n
d
en
c
y
o
f
it
s
m
o
v
ab
le
p
ar
ts
to
m
o
v
e
till
t
h
e
r
el
u
ctan
ce
o
f
t
h
e
e
x
cited
w
i
n
d
in
g
i
s
m
ax
i
m
ized
[
5
].
Fig
u
r
e
1
(
c)
s
h
o
w
s
t
h
e
1
0
/8
SR
M
t
y
p
e
co
n
s
tr
u
ctio
n
[
6
]
-
[
7
]
.
T
h
e
m
o
to
r
e
m
p
lo
y
ed
m
o
r
e
p
h
ase
th
a
n
t
h
e
p
r
ev
io
u
s
S
R
M
co
n
s
tr
u
ctio
n
h
o
w
e
v
er
th
e
p
ar
a
m
eter
s
ar
e
s
a
m
e
as
t
h
e
6
/4
an
d
8
/6
SR
M
t
y
p
es
.
T
h
e
p
r
in
cip
le
o
f
to
r
q
u
e
p
r
o
d
u
ctio
n
is
th
e
s
a
m
e
as th
e
p
r
ev
io
u
s
S
R
M
co
n
s
tr
u
ct
io
n
.
2.
SRM
D
R
IV
E
T
O
POL
O
GY
T
h
e
SR
M
d
r
iv
e
s
h
av
e
r
ec
eiv
e
d
a
g
r
ea
t
atte
n
tio
n
f
o
r
th
e
p
ast
t
w
o
d
ec
ad
es’
.
Sev
er
al
co
n
f
er
en
ce
s
a
n
d
r
esear
ch
es
h
av
e
b
ee
n
co
n
d
u
c
ted
to
d
ev
elo
p
n
e
w
a
n
d
s
u
f
f
i
cien
t
d
r
iv
e
s
to
co
n
tr
o
l
th
e
S
R
M
ef
f
icie
n
tl
y
a
n
d
p
r
o
d
u
ce
th
e
d
esire
d
o
u
tp
u
t.
T
h
e
p
o
w
er
co
n
v
er
ter
h
as
b
ee
n
h
ig
h
li
g
h
ted
in
t
h
e
m
o
s
t
r
esea
r
ch
w
h
er
e
t
h
e
SR
M
s
w
it
h
a
d
i
f
f
er
e
n
t
t
y
p
e
o
f
p
o
w
e
r
co
n
v
er
ter
s
h
a
s
b
ee
n
d
esi
g
n
e
d
to
b
e
f
ed
to
t
h
e
S
R
M
m
o
to
r
[
8
]
.
Au
th
o
r
i
n
[
9
]
p
r
o
p
o
s
ed
a
n
e
w
to
p
o
lo
g
y
w
h
ich
u
s
e
th
e
p
o
w
er
i
n
v
er
ter
to
co
n
tr
o
l
th
e
S
R
M
m
o
to
r
.
Ho
w
e
v
er
,
t
h
ese
d
r
iv
e
s
to
p
o
lo
g
ies
h
av
e
t
h
eir
o
w
n
d
r
a
w
b
ac
k
s
an
d
t
h
e
m
o
s
t
ap
p
ar
en
t
d
r
a
w
b
ac
k
is
th
e
T
o
t
al
Har
m
o
n
ics
D
is
to
r
tio
n
(
T
HD)
.
T
h
u
s
,
t
h
is
p
ap
er
co
n
d
u
ct
s
an
a
l
y
s
is
s
tu
d
y
o
n
th
e
p
o
w
er
co
n
v
er
ter
an
d
p
r
o
p
o
s
ed
m
u
l
tile
v
el
in
v
er
ter
d
r
iv
e
to
p
o
lo
g
y
ap
p
lied
to
th
e
t
h
r
ee
t
y
p
e
o
f
S
R
Ms.
2
.
1
.
H
a
lf
bridg
e
co
nv
er
t
er
t
o
po
lo
g
y
T
h
er
e
ar
e
n
u
m
er
o
u
s
co
n
v
er
ter
s
d
r
iv
es
h
a
v
e
b
ee
n
d
ev
elo
p
ed
to
b
e
f
ed
to
th
e
SR
M
m
o
to
r
.
T
h
e
m
o
s
t
f
le
x
ib
le
a
n
d
co
m
m
o
n
to
p
o
lo
g
y
to
b
e
u
s
ed
f
o
r
th
e
S
R
M
is
t
h
e
h
al
f
b
r
id
g
e
co
n
v
er
ter
.
T
h
is
co
n
v
er
ter
is
f
ed
b
y
240
V
d
c
s
o
u
r
ce
s
an
d
r
eq
u
ir
e
s
t
w
o
s
w
i
tch
e
s
a
n
d
t
w
o
d
io
d
es
p
er
p
h
ase.
T
h
e
tu
r
n
o
n
an
d
o
f
f
a
n
g
le
s
a
n
d
r
ef
er
en
ce
cu
r
r
en
t
ar
e
k
ep
t
co
n
s
tan
t
at
4
5
d
eg
an
d
7
5
d
eg
,
2
0
0
A
r
esp
ec
tiv
e
l
y
.
T
h
e
ad
v
an
ta
g
e
o
f
th
is
co
n
v
er
ter
co
m
p
ar
ed
to
o
th
er
t
y
p
e
co
n
v
er
ter
is
in
ter
m
s
o
f
e
n
er
g
y
e
f
f
ici
en
c
y
,
w
h
er
e
th
e
e
n
er
g
y
r
et
u
r
n
s
f
r
o
m
t
h
e
m
o
to
r
to
th
e
s
o
u
r
ce
a
f
ter
t
u
r
n
-
o
f
f
o
f
p
h
ase
s
w
itc
h
es.
Mo
r
eo
v
er
,
t
h
e
co
n
tr
o
l
m
ec
h
a
n
is
m
o
f
t
h
i
s
co
n
v
er
ter
is
d
o
n
e
in
d
ep
en
d
en
tl
y
f
o
r
ea
ch
p
h
ase
[
1
0
]
.
A
s
t
h
e
ai
m
o
f
th
i
s
p
ap
er
to
in
v
e
s
ti
g
ate
t
h
e
co
n
tr
o
l
t
ec
h
n
iq
u
es
f
o
r
t
h
r
ee
d
if
f
er
e
n
t
S
R
M
co
n
s
tr
u
ctio
n
th
e
co
n
tr
o
l
cir
cu
it
o
f
h
al
f
b
r
id
g
e
co
n
v
er
ter
h
av
e
d
if
f
er
en
t
co
n
f
i
g
u
r
atio
n
f
o
r
ea
ch
SR
M
co
n
s
tr
u
ctio
n
.
F
ig
u
r
e
2
a,
b
,
c
s
h
o
w
s
h
al
f
b
r
id
g
e
co
n
v
er
ter
to
d
r
iv
e
th
e
6
/
4
S
R
M
Mo
t
o
r
,
8
/6
SR
M
m
o
to
r
an
d
1
0
/8
SR
M
m
o
to
r
r
esp
ec
tiv
el
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
.
2
,
J
u
n
e
201
7
:
584
–
5
9
2
586
(
a)
(
b
)
(
c)
Fig
u
r
e
2
.
B
r
id
g
e
C
o
n
v
er
ter
f
o
r
(
a)
6
/4
SR
M,
(
b
)
8
/6
SR
M,
(
c
)
1
0
/8
SR
M
Du
r
in
g
co
n
d
u
ctio
n
p
er
io
d
s
,
t
h
e
ac
tiv
e
I
GB
T
s
ap
p
ly
p
o
s
itiv
e
v
o
lta
g
e
s
o
u
r
ce
to
t
h
e
s
tato
r
win
d
in
g
s
to
d
r
iv
e
p
o
s
itiv
e
c
u
r
r
en
t
s
i
n
to
t
h
e
p
h
ase
w
i
n
d
i
n
g
s
.
D
u
r
in
g
f
r
ee
-
w
h
ee
li
n
g
p
er
io
d
s
,
n
e
g
ati
v
e
v
o
ltag
e
is
ap
p
li
ed
to
th
e
w
i
n
d
in
g
s
a
n
d
th
e
s
to
r
ed
en
er
g
y
i
s
r
etu
r
n
ed
to
th
e
p
o
w
er
DC
s
o
u
r
ce
t
h
r
o
u
g
h
t
h
e
d
io
d
es [
1
1
]
.
2
.
2
.
M
ultilev
el
inv
er
t
er
I
n
t
h
e
p
ast
S
R
M
d
r
i
v
es,
m
aj
o
r
it
y
o
f
t
h
e
d
r
i
v
es
u
s
ed
p
o
w
er
co
n
v
er
ter
b
esid
es
s
e
v
er
al
a
tte
m
p
ts
w
er
e
m
ad
e
to
u
s
e
i
n
v
er
ter
t
h
at
u
tili
ze
th
e
Vo
ltag
e
So
u
r
ce
I
n
v
er
ter
(
VSI
)
[
9
]
.
I
n
th
is
p
ap
er
n
e
w
p
o
w
er
elec
tr
o
n
ic
s
cir
cu
it
is
u
s
ed
to
d
r
iv
e
th
e
S
R
M
m
o
to
r
b
y
i
n
tr
o
d
u
ci
n
g
t
h
e
m
u
ltil
e
v
el
i
n
v
er
ter
.
T
h
e
co
n
ce
p
t
o
f
m
u
lti
lev
el
i
n
v
er
ter
is
to
p
r
o
d
u
ce
m
u
l
til
ev
el
o
u
tp
u
t
v
o
lta
g
es
w
it
h
l
ess
p
o
w
er
s
w
itc
h
in
g
lo
s
s
an
d
les
s
h
ar
m
o
n
ic
d
is
to
r
tio
n
.
A
m
u
l
tile
v
el
in
v
er
ter
ca
n
b
e
co
n
s
tr
u
cted
b
y
co
n
n
ec
ti
n
g
a
s
et
o
f
s
in
g
le
f
u
l
l
b
r
id
g
e
in
v
er
ter
i
n
s
er
ies.
E
ac
h
b
r
id
g
e
h
as
it
s
o
w
n
is
o
lated
DC
s
o
u
r
ce
w
h
ich
ca
n
b
e
a
s
o
lar
ce
lls
o
r
b
atter
ies
.
T
h
eses
s
ep
ar
ated
DC
s
o
u
r
ce
s
f
ee
d
i
n
g
th
e
m
u
ltil
ev
el
in
v
er
ter
ca
n
g
e
n
er
ate
al
m
o
s
t
s
i
n
u
s
o
id
al
w
a
v
e
f
o
r
m
v
o
ltag
e.
T
h
is
t
y
p
e
o
f
i
n
v
er
ter
ca
n
p
r
o
d
u
ce
N
le
v
el
v
o
ltag
e
s
(
i.e
f
o
r
th
r
ee
lev
el
i
n
v
er
ter
ca
n
g
e
n
er
ate
th
r
ee
d
if
f
er
en
t
v
o
lta
g
e
o
u
tp
u
ts
+
V
d
c,
0
an
d
–
V
d
c)
.
Hen
ce
,
th
e
o
u
tp
u
t
v
o
ltag
e
o
f
a
n
N
-
le
v
el
m
u
ltil
e
v
el
i
n
v
er
ter
is
th
e
s
u
m
o
f
all
th
e
i
n
d
iv
id
u
al
in
v
er
ter
o
u
tp
u
ts
.
[
12]
-
[
18
]
.
F
ig
u
r
e
3
s
h
o
w
s
th
e
cir
cu
i
t
o
f
th
e
th
r
ee
lev
el
in
v
er
ter
.
Fig
u
r
e
3
.
th
r
ee
-
le
v
el
i
n
v
er
ter
I
n
th
i
s
p
ap
er
th
r
ee
d
if
f
er
en
t
m
u
ltil
e
v
el
cir
cu
i
t
is
u
s
ed
to
d
r
iv
e
th
r
ee
d
if
f
er
en
t
t
y
p
e
o
f
S
R
M
m
o
to
r
.
Fig
u
r
e
4
an
d
Fig
u
r
e
5
s
h
o
w
th
e
cir
cu
it
o
f
th
r
ee
le
v
el
in
v
e
r
ter
3
-
p
h
ase
u
s
ed
to
d
r
iv
e
th
e
6
/4
SR
M
m
o
to
r
,
4
p
h
ase
t
h
r
ee
-
le
v
el
i
n
v
er
ter
f
ed
to
8
/6
SR
M
m
o
to
r
an
d
t
h
e
5
p
h
ase
t
h
r
ee
-
lev
el
in
v
er
ter
f
ed
to
1
0
/8
SR
M
m
o
to
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2088
-
8
694
Mu
ltil
ev
el
I
n
ve
r
ter F
ed
S
w
itch
ed
R
elu
cta
n
ce
Mo
t
o
r
s
(
S
R
Ms
)
6
/4
,
8
/6
….
(
N
a
b
il F
a
r
a
h
)
587
Fig
u
r
e
4
.
T
h
r
e
e
-
lev
el
in
v
er
ter
f
ed
to
6
/4
SR
M
(
a)
(
b
)
Fig
u
r
e
5
.
T
h
r
ee
-
lev
el
in
v
er
ter
f
ed
(
a)
8
/6
SR
M,
(
b
)
1
0
/8
SR
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
.
2
,
J
u
n
e
201
7
:
584
–
5
9
2
588
3.
S
IM
U
L
A
T
ION
R
E
S
U
L
T
S
T
h
e
ai
m
o
f
t
h
i
s
p
ap
er
is
to
s
t
u
d
y
th
e
f
l
u
x
an
d
to
r
q
u
e
p
er
f
o
r
m
an
ce
u
n
d
er
th
r
ee
d
i
f
f
er
e
n
t
c
o
n
s
tr
u
ct
io
n
s
o
f
s
w
i
tch
ed
r
el
u
ctan
ce
m
o
to
r
w
h
ic
h
ar
e
t
h
e
6
/4
,
8
/6
an
d
1
0
/8
.
A
ll
t
h
e
S
R
M
s
w
er
e
co
n
s
tr
u
cted
in
MO
T
OR
SOLV
E
s
o
f
t
w
ar
e
w
i
th
f
i
x
ed
p
ar
am
eter
s
.
T
h
en
,
th
e
SR
M
d
r
iv
e
s
y
s
te
m
w
er
e
co
n
s
tr
u
cted
u
s
i
n
g
Ma
tlab
/Si
m
u
l
in
k
b
y
u
tili
zi
n
g
t
w
o
d
if
f
er
en
t
d
r
iv
e
cir
cu
it
s
w
h
ic
h
ar
e
th
e
h
al
f
b
r
id
g
e
co
n
v
er
ter
a
n
d
t
h
e
m
u
ltil
e
v
el
i
n
v
er
ter
r
esp
ec
ti
v
el
y
.
3
.
1
.
Resul
t
s
o
f
M
o
t
o
r
So
lv
e
Fig
u
r
e
6
(
a)
s
h
o
w
s
t
h
e
o
u
tp
u
t
f
l
u
x
li
n
e
o
f
th
e
S
R
M
u
s
i
n
g
Mo
to
r
S
o
lv
e
f
o
r
6
/4
,
8
/6
an
d
1
0
/8
SR
M
w
it
h
f
i
x
ed
p
ar
am
e
ter
s
v
al
u
es
.
Me
an
w
h
ile,
F
i
g
u
r
e
6
(
b
)
s
h
o
w
s
th
e
o
u
tp
u
t
T
o
r
q
u
e
VS
r
o
to
r
an
g
le
w
h
ic
h
ar
e
th
e
s
a
m
e
f
o
r
t
h
e
t
h
r
ee
t
y
p
e
o
f
SR
M
.
B
ased
o
n
t
h
e
f
lu
x
a
n
d
to
r
q
u
e
r
es
u
lt.
T
h
e
f
l
u
x
lin
k
a
g
e
a
n
a
l
y
s
i
s
f
o
r
th
e
(
SR
M)
u
s
i
n
g
t
h
e
s
tatic
co
m
p
lete
FE
A
an
al
y
s
is
,
w
h
er
e
t
h
e
co
m
p
le
te
an
al
y
s
is
f
o
r
t
h
e
c
u
r
r
en
t
is
d
o
n
e
an
d
s
h
o
w
n
i
n
d
if
f
er
e
n
t li
n
es,
w
h
er
e
th
e
li
n
es
p
r
esen
t th
e
e
x
ac
t v
al
u
e
f
o
r
th
e
f
lu
x
li
n
k
a
g
e
at
ea
c
h
cu
r
r
en
t
v
alu
e.
(
a)
(
b
)
Fig
u
r
e
6
.
(
a)
s
tatic
co
m
p
lete
a
n
al
y
s
i
s
f
o
r
f
l
u
x
lin
k
a
g
e
,
(
b
)
SR
M
to
r
q
u
e
ag
ai
n
s
t r
o
to
r
an
g
le
3
.
2
.
M
a
t
l
a
b/S
i
m
ul
in
k
Re
s
ults
First
o
f
al
l
t
h
e
o
u
tp
u
t
o
f
d
r
iv
e
rs
an
d
co
n
tr
o
l
cir
c
u
it
is
p
r
es
en
ted
a
n
d
co
m
p
ar
ed
i
n
ter
m
s
o
f
T
o
tal
Har
m
o
n
ic
s
Dis
to
r
tio
n
T
HD
%.
3
.
2
.
1
.
H
a
lf
bridg
e
co
nv
er
t
er
t
o
po
l
o
g
y
As
m
en
tio
n
ed
ea
r
lier
t
h
e
h
al
f
b
r
id
g
e
co
n
v
er
ter
w
i
th
t
w
o
I
G
B
T
an
d
t
w
o
f
r
ee
-
w
h
ee
li
n
g
d
i
o
d
e
is
f
ed
to
th
e
S
R
M
m
o
to
r
.
Fig
u
r
e
6
a,
b
,
c,
d
an
d
d
p
r
esen
ts
th
e
s
i
m
u
latio
n
r
e
s
u
lt
s
o
f
h
al
f
b
r
id
g
e
co
n
v
er
ter
f
ed
s
r
m
m
o
to
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2088
-
8
694
Mu
ltil
ev
el
I
n
ve
r
ter F
ed
S
w
itch
ed
R
elu
cta
n
ce
Mo
t
o
r
s
(
S
R
Ms
)
6
/4
,
8
/6
….
(
N
a
b
il F
a
r
a
h
)
589
(
a)
Ou
tp
u
t c
u
r
r
en
t o
f
h
al
f
b
r
id
g
e
c
o
n
v
er
t
(
b
)
T
HD
o
f
cu
r
r
en
t o
f
h
al
f
b
r
id
g
e
co
n
v
er
ter
(
c)
Ou
tp
u
t f
l
u
x
o
f
6
/4
SR
M
m
o
to
r
(
d
)
Ou
tp
u
t to
r
q
u
e
o
f
6
/4
SR
M
f
ed
b
y
h
al
f
b
r
id
g
e
c
o
n
v
er
ter
Fig
u
r
e
6
.
Half
B
r
id
g
e
C
o
n
v
er
t
er
f
ed
6
/4
SR
M
r
esu
lt
s
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
.
2
,
J
u
n
e
201
7
:
584
–
5
9
2
590
A
l
s
o
F
i
g
u
r
e
7
a
n
d
Fi
g
u
r
e
8
s
h
o
w
th
e
8
/6
S
R
M
m
o
to
r
o
u
tp
u
t
f
l
u
x
a
n
d
to
r
q
u
e
r
esp
ec
ti
v
el
y
f
ed
b
y
b
r
id
g
e
co
n
v
er
ter
.
(
a)
(
b
)
Fig
u
r
e
7
.
(
a)
o
u
tp
u
t f
lu
x
o
f
8
/6
SR
M
m
o
to
r
f
ed
b
y
b
r
id
g
e
co
n
v
er
ter
,
(
b
)
ar
m
atu
r
e
c
u
r
r
en
t o
f
8
/6
SR
M
f
ed
b
y
b
r
id
g
e
co
n
v
er
ter
Fig
u
r
e
8
.
Ou
tp
u
t to
r
q
u
e
o
f
8
/6
SR
M
f
ed
b
y
b
r
id
g
e
co
n
v
er
ter
3
.
2
.
2
.
M
ultilev
el
inv
er
t
er
t
o
po
lo
g
y
I
n
th
i
s
p
ap
er
th
e
th
r
ee
lev
el
i
n
v
er
ter
is
u
s
ed
m
o
d
u
lated
b
y
t
h
e
s
p
ac
e
v
ec
to
r
.
T
h
e
th
r
ee
lev
el
in
v
er
ter
b
ein
g
u
s
ed
h
av
in
g
f
o
u
r
I
GB
T
in
ea
ch
p
h
ase
.
Fi
g
u
r
e
9
(
a)
s
h
o
w
s
t
h
e
o
u
tp
u
t
cu
r
r
en
t
o
f
o
n
e
p
h
ase
o
f
th
r
ee
le
v
el
in
v
er
ter
f
o
llo
w
ed
b
y
T
HD
cu
r
r
en
t o
f
th
e
s
a
m
e
i
n
v
er
ter
in
F
i
g
u
r
e
Fi
g
u
r
e
9
(
b
)
.
Fig
u
r
e
9
.
(
a
)
th
r
ee
lev
el
in
v
er
t
er
o
u
tp
u
t c
u
r
r
en
t
,
(
b
)
cu
r
r
en
t T
HD
o
f
th
r
ee
le
v
el
in
v
er
ter
T
h
e
o
u
tp
u
t f
l
u
x
o
f
an
d
t
h
e
o
u
t
p
u
t
to
r
q
u
e
o
f
6
/4
SR
M
f
ed
b
y
m
u
ltil
e
v
el
i
n
v
er
ter
ar
e
s
h
o
w
n
i
n
F
i
g
u
r
e
1
0
a,
b
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2088
-
8
694
Mu
ltil
ev
el
I
n
ve
r
ter F
ed
S
w
itch
ed
R
elu
cta
n
ce
Mo
t
o
r
s
(
S
R
Ms
)
6
/4
,
8
/6
….
(
N
a
b
il F
a
r
a
h
)
591
(
a
)
(
b
)
Fig
u
r
e
10
.
o
u
tp
u
t
f
l
u
x
o
f
6
/4
SR
M
f
ed
b
y
m
u
ltil
e
v
el
i
n
v
er
ter
.
A
p
ar
t f
r
o
m
th
at
F
ig
u
r
e
11
a,
b
s
h
o
w
t
h
e
o
u
tp
u
t
f
l
u
x
an
d
to
r
q
u
e
o
f
8
/6
SR
M
m
o
to
r
f
ed
b
y
m
u
ltil
e
v
el
i
n
v
er
ter
.
Fi
g
u
r
e
11
.
(
a)
o
u
tp
u
t
f
l
u
x
o
f
8
/
6
SR
M,
(
b
)
o
u
tp
u
t to
r
q
u
e
o
f
8
/6
SR
M
f
ed
b
y
m
u
lt
ilev
e
l in
v
e
r
ter
.
4.
D
IS
S
C
U
S
S
ION
B
ased
o
n
th
e
s
i
m
u
lat
io
n
r
esu
l
ts
o
b
tain
ed
,
i
t
is
clea
r
th
at
th
e
m
u
l
tilev
e
l
in
v
er
ter
is
b
est
s
u
i
ted
f
o
r
th
e
SR
M
m
o
to
r
d
u
e
to
t
h
e
b
est
o
u
tp
u
t
s
r
es
u
lt
s
p
r
o
d
u
ce
d
an
d
th
e
less
h
ar
m
o
n
ics
co
n
te
n
ts
in
o
u
tp
u
t
co
m
p
ar
ed
to
th
e
h
al
f
b
r
id
g
e
co
n
v
er
ter
.
Fig
u
r
e
1
3
s
h
o
w
s
th
e
co
m
p
ar
i
s
o
n
b
et
w
ee
n
th
e
h
al
f
b
r
id
g
e
co
n
v
er
ter
an
d
m
u
lt
ilev
e
l
in
v
er
ter
i
n
ter
m
s
o
f
T
HD
.
Fig
u
r
e
13.
T
HD
co
m
p
ar
is
o
n
o
f
m
u
lt
ilev
e
l in
v
er
ter
VS h
a
l
f
b
r
id
g
e
co
n
v
er
ter
5.
C
ON
C
L
U
S
ION
T
h
is
p
ap
er
p
r
esen
ts
th
e
p
er
f
o
r
m
an
ce
r
es
u
lts
o
f
t
h
r
ee
S
R
Ms
k
n
o
w
n
a
s
6
/4
,
8
/6
an
d
1
0
/8
p
e
r
f
o
r
m
an
ce
f
ed
b
y
m
u
l
tile
v
el
i
n
v
er
ter
a
n
d
h
alf
b
r
id
g
e
co
n
v
er
ter
d
r
iv
e
r
cir
cu
it.
Deta
iled
an
a
l
y
s
is
f
o
r
th
e
SR
M
m
o
to
r
0.0
0%
10
.00%
In
v
e
rter
con
v
e
rte
r
THD
T
H
D
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
.
2
,
J
u
n
e
201
7
:
584
–
5
9
2
592
co
n
s
id
er
in
g
d
i
f
f
er
en
t
co
n
s
tr
u
c
tio
n
s
h
a
v
e
b
ee
n
co
n
d
u
cted
.
Mo
r
eo
v
er
,
f
o
r
th
e
p
u
r
p
o
s
e
o
f
co
m
p
ar
is
o
n
w
it
h
a
h
al
f
b
r
id
g
e
co
n
v
er
ter
s
w
h
ic
h
h
av
e
b
ee
n
u
s
ed
to
d
r
iv
e
t
h
e
S
R
M
m
o
to
r
s
,
t
h
en
t
h
e
r
es
u
lt
s
w
it
h
th
e
m
u
ltil
e
v
el
in
v
er
ter
w
er
e
g
e
n
er
ated
.
I
t
w
a
s
f
o
u
n
d
th
at
th
e
h
al
f
b
r
id
g
e
co
n
v
er
te
r
s
p
r
o
d
u
ce
m
o
r
e
h
ar
m
o
n
ics
t
h
a
n
t
h
e
m
u
ltil
e
v
el
in
v
er
ter
s
.
T
h
er
ef
o
r
e
,
th
e
m
u
ltil
e
v
el
in
v
er
ter
cir
cu
it
is
n
o
w
r
ec
o
m
m
e
n
d
ed
as
p
ar
t o
f
th
e
d
r
iv
e
cir
cu
i
t
as a
s
u
b
s
t
itu
te
to
th
e
h
a
lf
b
r
id
g
e
co
n
v
er
ter
.
6.
A
C
KN
OLE
GM
E
N
T
T
h
e
au
th
o
r
s
w
o
u
ld
li
k
e
to
g
r
a
tef
u
ll
y
ac
k
n
o
w
le
d
g
e
t
h
e
f
u
n
d
i
n
g
s
u
p
p
o
r
t
p
r
o
v
id
ed
b
y
UT
eM
an
d
th
e
E
lectr
ic
Veh
icle
Dr
i
v
e
lab
f
o
r
th
e
f
ac
ilit
ie
s
p
r
o
v
id
ed
to
ac
co
m
p
lis
h
t
h
e
w
o
r
k
.
RE
F
E
R
E
NC
E
S
[1
]
T
.
M
il
ler,
S
w
it
c
h
e
d
Re
lu
c
tan
c
e
M
o
to
rs
A
n
d
T
h
e
ir
Co
n
tro
l
.
Ox
fo
rd
,
UK
:
M
a
g
n
a
P
h
y
sic
s
P
u
b
l
ish
in
g
/Cl
a
re
n
d
o
n
P
re
ss
,
1
9
9
3
.
[2
]
R.
Krish
n
a
n
,
S
w
it
c
h
e
d
re
lu
c
tan
c
e
m
o
to
r
d
riv
e
s:
m
o
d
e
li
n
g
,
sim
u
latio
n
,
a
n
a
ly
sis,
d
e
sig
n
,
a
n
d
a
p
p
l
ica
ti
o
n
s
.
Bo
c
a
Ra
to
n
,
F
L
:
CRC
P
re
ss
,
2
0
0
1
.
[3
]
Ch
a
tt
e
rjee
,
S
h
a
n
ta
n
u
.
"
A
M
u
lt
i
lev
e
l
In
v
e
rter
Ba
s
e
d
o
n
S
VPW
M
T
e
c
h
n
iq
u
e
f
o
r
P
h
o
t
o
v
o
lt
a
ic
A
p
p
li
c
a
ti
o
n
.
"
In
ter
n
a
t
io
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
3
.
1
p
p
62
,
2
0
1
3
.
[4
]
A
b
G
h
a
n
i,
M
o
h
d
Ru
d
d
i
n
,
Na
b
il
F
a
ra
h
,
a
n
d
M
.
R.
T
a
m
ji
s.
"
F
ield
o
rien
ted
c
o
n
tr
o
l
o
f
6
/4
S
RM
f
o
r
to
rq
u
e
rip
p
le
m
in
i
m
iaz
ti
o
n
.
"
El
e
c
trica
l,
El
e
c
tro
n
ics
,
a
n
d
Op
ti
miza
ti
o
n
T
e
c
h
n
i
q
u
e
s
(
ICEE
OT),
In
ter
n
a
t
io
n
a
l
Co
n
fer
e
n
c
e
o
n
.
IEE
E
,
2
0
1
6
.
[5
]
U
m
a
,
S
.
,
C.
Ka
m
a
lak
a
n
n
a
n
,
a
n
d
R.
Ka
rth
ik
e
y
a
n
.
"
S
tatic
a
n
d
D
y
n
a
m
i
c
Ch
a
ra
c
teristics
o
f
8
/6
,
4
0
0
W
S
w
it
c
h
e
d
Re
lu
c
tan
c
e
M
o
t
o
r.
"
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Co
m
p
u
ter
A
p
p
l
ica
ti
o
n
s
6
6
,
p
p
12
,
2
0
1
3
.
[6
]
F
e
y
z
i,
M
.
R.
,
a
n
d
Y.
E
b
ra
h
im
i.
"
Di
re
c
t
to
rq
u
e
c
o
n
tro
l
o
f
5
-
p
h
a
se
1
0
/8
sw
it
c
h
e
d
re
lu
c
tan
c
e
m
o
to
rs."
Ira
n
ia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
&
El
e
c
tro
n
ic E
n
g
in
e
e
rin
g
5
.
3
,
p
p
2
0
5
-
2
1
4
,
2
0
0
9
.
[7
]
Ye
,
Zh
e
n
Z.
,
T
e
rr
y
W
.
M
a
rti
n
,
a
n
d
Ju
a
n
C
.
Ba
ld
a
.
"
Co
n
tr
o
l
o
f
a
1
0
/
8
S
R
M
b
a
se
d
o
n
t
h
e
T
o
rq
u
e
Rip
p
l
e
M
in
im
iza
ti
o
n
a
n
d
S
p
e
e
d
F
e
e
d
b
a
c
k
.
"
Po
we
r
El
e
c
tro
n
ics
S
p
e
c
ia
li
sts
Co
n
fer
e
n
c
e
,
2
0
0
1
.
PE
S
C.
2
0
0
1
IEE
E
3
2
n
d
An
n
u
a
l
.
V
o
l
.
3
.
IEE
E
,
2
0
0
1
.
[8
]
M
a
h
m
o
u
d
,
S
a
m
ia
M
.
,
e
t
a
l.
"
S
tu
d
y
in
g
Diff
e
r
e
n
t
Ty
p
e
s
o
f
P
o
w
e
r
Co
n
v
e
rters
F
e
d
S
w
it
c
h
e
d
Re
lu
c
ta
n
c
e
M
o
to
r
.
"
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
El
e
c
tro
n
ic
s a
n
d
El
e
c
trica
l
E
n
g
i
n
e
e
rin
g
1
.
4
,
p
p
2
8
1
-
2
9
0
,
2
0
1
3
.
[9
]
G
rb
o
,
Željk
o
,
S
lo
b
o
d
a
n
Vu
k
o
sa
v
ić,
a
n
d
Em
il
Lev
i.
"
A
n
o
v
e
l
p
o
w
e
r
in
v
e
rter
f
o
r
s
w
it
c
h
e
d
re
l
u
c
tan
c
e
m
o
to
r
d
riv
e
s."
Fa
c
ta
u
n
ive
rs
it
a
ti
s
-
se
rie
s: E
lec
tro
n
ics
a
n
d
En
e
rg
e
ti
c
s
1
8
.
3
,
p
p
4
5
3
-
4
6
5
,
2
0
0
5
.
[1
0
]
Ja
n
g
,
Do
-
H
y
u
n
.
"
T
h
e
c
o
n
v
e
rter
t
o
p
o
lo
g
y
w
it
h
h
a
l
f
b
rid
g
e
in
v
e
rter
f
o
r
s
w
it
c
h
e
d
re
lu
c
tan
c
e
m
o
to
r
d
riv
e
s."
In
d
u
stria
l
El
e
c
tro
n
ics
,
2
0
0
1
.
Pro
c
e
e
d
in
g
s.
I
S
IE
2
0
0
1
.
I
EE
E
I
n
ter
n
a
ti
o
n
a
l
S
y
mp
o
siu
m
o
n
.
V
o
l
.
2
.
IEE
E
,
2
0
0
1
.
[1
1
]
Na
ru
k
a
,
M
a
h
a
v
ir
S
in
g
h
,
D.
S
.
Ch
a
u
h
a
n
,
a
n
d
S
.
N.
S
i
n
g
h
.
"
P
o
w
e
r
F
a
c
to
r
Im
p
ro
v
e
m
e
n
t
in
S
w
it
c
h
e
d
Re
lu
c
tan
c
e
M
o
to
r
Driv
e
Us
in
g
P
W
M
Co
n
v
e
rter."
IJ
EE
T
Vo
lu
me
4
:
4
8
-
55.
[1
2
]
Ke
it
h
Co
rz
in
e
.
Op
e
ra
ti
o
n
a
n
d
De
sig
n
o
f
M
u
lt
il
e
v
e
l
In
v
e
rters
.
Un
iv
e
rsity
o
f
M
isso
u
ri
-
R
o
ll
a
De
v
e
lo
p
e
d
f
o
r
th
e
Offi
c
e
o
f
Na
v
a
l
Res
e
a
rc
h
De
c
e
mb
e
r 2
0
0
3
Rev
is
e
d
J
u
n
e
2
0
0
5
[1
3
]
Z.
Ib
ra
h
im
,
M
.
L
.
Ho
ss
a
in
,
M
.
H.
N
T
a
li
b
,
R.
M
u
sta
f
a
,
N.M
.
Nik
M
a
h
a
d
i
,
"
A
f
iv
e
lev
e
l
c
a
sc
a
d
e
d
H
-
b
rid
g
e
in
v
e
rter
b
a
se
d
o
n
sp
a
c
e
v
e
c
to
r
p
u
lse
w
id
th
m
o
d
u
latio
n
tec
h
n
i
q
u
e
."
IEE
E
Co
n
fer
e
n
c
e
o
n
En
e
rg
y
Co
n
v
e
rs
io
n
(
CENCON),
2
0
1
4
.
[1
4
]
Ro
sli
Om
a
r
,
M
o
h
a
m
m
e
d
Ra
sh
e
e
d
,
a
n
d
M
a
riza
n
S
u
laim
a
n
.
"
A
su
rv
e
y
o
f
m
u
lt
il
e
v
e
l
in
v
e
rter
b
a
s
e
d
o
n
c
a
sc
a
d
e
d
H
-
Brid
g
e
to
p
o
lo
g
y
a
n
d
c
o
n
tr
o
l
sc
h
e
m
e
s."
M
AGNT
Res
e
a
rc
h
Rep
o
rt,
v
o
l
3
,
p
p
1
0
9
7
-
1
1
0
8
,
2
0
1
5
.
[1
5
]
M
a
d
ich
e
tt
y
,
S
re
e
d
h
a
r,
a
n
d
A
b
h
ij
it
Da
sg
u
p
ta.
"
M
o
d
u
lar
M
u
lt
il
e
v
e
l
Co
n
v
e
rters
P
a
rt
-
I:
A
Re
v
ie
w
o
n
T
o
p
o
lo
g
ies
,
M
o
d
u
latio
n
,
M
o
d
e
li
n
g
a
n
d
C
o
n
tr
o
l
S
c
h
e
m
e
s."
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
i
v
e
S
y
ste
ms
4
.
1
,
p
p
3
6
,
2
0
1
4
.
[1
6
]
S
e
o
,
Ja
e
H
y
e
o
n
g
,
Ch
a
n
g
Ho
Ch
o
i,
a
n
d
Do
n
g
S
e
o
k
Hy
u
n
.
"
A
n
e
w
sim
p
li
f
ied
sp
a
c
e
-
v
e
c
to
r
P
W
M
m
e
th
o
d
f
o
r
th
re
e
-
lev
e
l
in
v
e
rters
.
"
Po
we
r E
lec
tro
n
ics
,
IEE
E
T
r
a
n
s
a
c
ti
o
n
s o
n
1
6
.
4
,
2
0
0
1
.
[1
7
]
Ro
sli
Om
a
r
,
M
o
h
a
m
m
e
d
R
a
sh
e
e
d
,
"
M
o
d
e
li
n
g
a
n
d
sim
u
latio
n
o
f
a
th
re
e
p
h
a
se
m
u
lt
il
e
v
e
l
in
v
e
rter
f
o
r
a
h
a
r
m
o
n
ic
re
d
u
c
ti
o
n
b
a
se
d
o
n
m
o
d
if
ied
sp
a
c
e
v
e
c
to
r
p
u
lse
w
id
th
m
o
d
u
lati
o
n
(S
VP
W
M
).
"
J
o
u
rn
a
l
o
f
T
h
e
o
re
ti
c
a
l
a
n
d
A
p
p
li
e
d
In
fo
rm
a
t
io
n
T
e
c
h
n
o
l
o
g
y
7
7
.
2
,
2
0
1
5
.
[1
8
]
A
b
G
h
a
n
i,
M
o
h
d
R
u
d
d
in
,
e
t
a
l.
"
In
v
e
stig
a
ti
o
n
S
tu
d
y
o
f
T
h
re
e
-
L
e
v
e
l
Ca
sc
a
d
e
d
H
-
b
ri
d
g
e
M
u
lt
il
e
v
e
l
In
v
e
rter."
T
EL
KOM
NIKA
(
T
e
lec
o
mm
u
n
ica
ti
o
n
Co
mp
u
ti
n
g
El
e
c
tro
n
ic
s a
n
d
Co
n
tro
l)
1
5
.
1
,
2
0
1
7
.
Evaluation Warning : The document was created with Spire.PDF for Python.