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s
u
p
p
l
y
c
u
r
r
en
t
w
a
v
e
f
o
r
m
,
it
w
as
p
o
s
s
ib
le
to
r
ed
u
ce
th
eir
h
ar
m
o
n
ic
co
m
p
o
n
e
n
ts
[
1
6
]
.
T
h
e
th
r
ee
-
p
h
ase
c
u
r
r
en
t
i
n
j
ec
tio
n
r
ec
tif
ier
as
s
h
o
w
n
i
n
Fi
g
u
r
e
2
t
y
p
icall
y
co
n
s
is
t
s
o
f
t
h
r
ee
m
ai
n
p
ar
ts
,
a
d
i
o
d
e
b
r
id
g
e
r
ec
tif
ier
,
a
m
o
d
u
latio
n
cir
cu
it
an
d
a
d
is
tr
ib
u
tio
n
cir
cu
it.
T
h
e
th
r
ee
-
p
h
ase
d
io
d
e
b
r
id
g
e
r
ec
tif
ier
w
as
u
s
ed
to
r
ec
ti
f
y
a
n
elec
tr
ical
en
er
g
y
f
r
o
m
a
n
AC
to
a
DC
f
o
r
m
.
T
h
e
s
ec
o
n
d
p
ar
t o
f
th
e
t
h
r
ee
-
p
h
ase
cu
r
r
en
t
i
n
j
ec
tio
n
r
ec
ti
f
ier
is
t
h
e
m
o
d
u
latio
n
cir
cu
it
w
h
ich
w
a
s
a
m
aj
o
r
p
ar
t
o
f
th
is
tec
h
n
iq
u
e.
T
h
e
p
r
in
cip
le
f
u
n
ctio
n
o
f
a
m
o
d
u
latio
n
cir
c
u
it
w
a
s
to
s
h
ap
e
t
h
e
DC
c
u
r
r
en
t
at
th
e
o
u
tp
u
t
o
f
th
e
d
io
d
e
b
r
id
g
e
r
ec
tif
ier
b
y
g
en
er
ati
n
g
th
e
th
ir
d
h
ar
m
o
n
ic
cu
r
r
en
t
w
h
ic
h
ca
n
b
e
i
m
p
le
m
en
ted
u
s
i
n
g
a
p
ass
iv
e
o
r
an
ac
tiv
e
ap
p
r
o
ac
h
[
1
7
]
.
T
h
e
p
u
r
p
o
s
e
o
f
t
h
e
cu
r
r
e
n
t
s
h
ap
in
g
ap
p
r
o
ac
h
i
s
to
co
n
tr
o
l
t
h
e
a
m
o
u
n
t
o
f
c
u
r
r
en
t
t
h
at
f
lo
w
ed
t
h
r
o
u
g
h
in
j
ec
to
r
an
d
th
e
h
ar
m
o
n
ic
co
n
te
n
t
o
f
i
n
j
ec
ted
cu
r
r
en
t.
T
h
e
co
n
ce
p
t
o
f
th
i
s
ap
p
r
o
ac
h
w
a
s
b
ased
o
n
a
p
r
io
r
ass
u
m
p
tio
n
t
h
at
to
cr
ea
te
a
s
y
m
m
etr
ic
t
h
r
ee
-
p
h
a
s
e
h
ar
m
o
n
ic
-
f
r
ee
r
ec
tif
icat
io
n
.
I
n
t
h
is
w
a
y
,
all
th
e
th
r
ee
-
p
h
a
s
e
in
p
u
t
s
h
o
u
ld
o
b
s
er
v
e
t
h
e
s
a
m
e
i
m
p
e
d
an
ce
,
lin
ea
r
an
d
p
u
r
el
y
r
e
s
is
t
iv
e
[
1
8
]
.
T
h
e
d
is
tr
ib
u
tio
n
cir
c
u
it
’
s
f
u
n
ctio
n
is
to
in
j
ec
t
a
ze
r
o
-
s
eq
u
en
ce
c
u
r
r
en
t
in
to
th
e
AC
s
u
p
p
l
y
v
o
lta
g
e
.
T
h
is
w
ill
p
r
ev
e
n
t
th
e
d
is
co
n
ti
n
u
i
t
y
o
f
t
h
e
AC
s
u
p
p
l
y
c
u
r
r
en
t
w
av
e
f
o
r
m
r
es
u
ltin
g
in
h
ig
h
p
o
w
er
f
ac
to
r
w
it
h
lo
w
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
(
T
HD)
lev
el
[
1
9
]
.
Sev
er
al
o
t
h
er
ap
p
r
o
ac
h
es
co
u
ld
b
e
i
m
p
le
m
en
ted
f
o
r
t
h
e
d
i
s
tr
ib
u
tio
n
cir
cu
it
i
n
t
h
r
e
e
-
p
h
a
s
e
cu
r
r
e
n
t
i
n
j
ec
tio
n
r
ec
tif
ier
.
T
h
is
in
cl
u
d
es
th
e
zi
g
za
g
-
co
n
n
ec
ted
tr
an
s
f
o
r
m
er
,
in
d
u
cto
r
-
ca
p
ac
ito
r
in
j
ec
to
r
s
,
a
s
p
ec
if
ic
m
a
g
n
etic
d
ev
ice
in
j
ec
to
r
,
a
d
elta
-
s
tar
tr
an
s
f
o
r
m
er
a
n
d
a
b
id
ir
ec
tio
n
al
s
w
itc
h
es.
T
h
ese
ap
p
r
o
ac
h
es
w
er
e
u
s
ed
to
i
n
j
ec
t
th
e
c
u
r
r
en
t
g
e
n
er
ated
b
y
t
h
e
m
o
d
u
latio
n
cir
c
u
it
to
t
h
e
AC
in
p
u
t
s
id
e
o
f
t
h
e
co
n
tr
o
lled
r
ec
tif
ier
cir
cu
it [
1
7
]
,
[
2
0
]
.
T
h
e
s
er
ies
co
n
f
i
g
u
r
atio
n
o
f
t
h
e
cu
r
r
en
t
i
n
j
ec
tio
n
r
eso
n
an
t
co
n
v
er
ter
(
C
I
S
R
C
)
as
s
h
o
w
n
i
n
Fi
g
u
r
e
3
w
a
s
f
ir
s
t
r
ea
lis
ed
b
y
C
r
o
s
s
[
2
1
]
.
I
n
s
u
ch
a
cir
c
u
it,
a
n
a
u
to
t
r
an
s
f
o
r
m
er
w
a
s
e
m
p
lo
y
ed
to
s
tep
u
p
th
e
o
u
tp
u
t
v
o
ltag
e
w
h
ic
h
is
co
n
n
ec
ted
at
th
e
o
u
tp
u
t
o
f
t
h
e
s
i
n
g
le
-
p
h
as
e
h
ig
h
-
f
r
eq
u
e
n
c
y
in
v
er
ter
.
T
h
is
in
v
er
ter
o
p
er
ated
f
r
o
m
t
h
e
s
p
li
t
ca
p
ac
ito
r
DC
lin
k
co
n
s
is
ti
n
g
o
f
t
w
o
ac
tiv
e
s
w
itc
h
es
d
r
iv
e
n
b
y
a
f
ix
ed
d
u
t
y
r
a
tio
o
f
0
.
5
.
T
h
e
au
to
tr
an
s
f
o
r
m
er
w
as
also
u
s
ed
to
d
r
iv
e
a
s
i
n
u
s
o
id
al
cu
r
r
en
t
t
h
r
o
u
g
h
t
h
e
s
er
ies
r
e
s
o
n
a
n
t
cir
c
u
it.
T
h
is
w
a
s
i
m
p
le
m
en
ted
b
y
a
r
ec
ti
f
icat
io
n
o
f
t
h
e
r
eso
n
a
n
t
c
u
r
r
en
t
to
g
en
er
ate
th
e
o
u
tp
u
t
v
o
lta
g
e.
Ot
h
er
th
a
n
b
ein
g
u
s
ed
to
g
en
er
ate
th
e
o
u
tp
u
t
v
o
lta
g
e,
th
e
r
eso
n
a
n
t
c
u
r
r
en
t
w
as
also
in
j
ec
ted
in
to
th
e
th
r
ee
-
p
h
a
s
e
r
ec
tif
ier
to
m
o
d
u
late
t
h
e
s
u
p
p
l
y
v
o
lta
g
es
o
f
s
u
c
h
a
co
n
v
er
ter
r
esu
lti
n
g
i
n
h
i
g
h
in
p
u
t p
o
w
er
f
ac
to
r
[
2
1
]
.
Fu
r
t
h
er
m
o
r
e,
s
m
all
s
i
g
n
al
m
o
d
el
an
d
d
y
n
a
m
ic
an
al
y
s
is
o
f
t
h
e
C
I
SR
C
h
a
v
e
b
ee
n
r
ep
o
r
te
d
in
[
2
2
]
an
d
[
2
3
]
to
co
n
tr
o
l th
e
th
e
o
u
tp
u
t
v
o
ltag
e
lev
el.
On
o
t
h
er
w
o
r
k
s
i
n
[
2
4
]
an
d
[
2
5
]
h
av
e
s
h
o
w
n
t
h
at
it
w
as
p
o
s
s
ib
le
to
r
e
m
o
v
e
th
e
a
u
to
tr
an
s
f
o
r
m
er
th
r
o
u
g
h
t
h
e
in
cl
u
s
io
n
o
f
a
s
tr
ai
g
h
t
f
o
r
w
ar
d
h
ig
h
f
r
eq
u
en
c
y
tr
a
n
s
f
o
r
m
er
as
s
h
o
w
n
in
Fig
u
r
e
4
,
t
h
er
eb
y
r
ed
u
ci
n
g
t
h
e
w
ei
g
h
t
o
f
t
h
e
co
n
v
er
te
r
[
2
4
]
,
[
2
5
]
.
T
h
e
f
u
ll
-
b
r
id
g
e
C
I
SR
C
p
r
o
v
id
es
an
alter
n
ati
v
e
o
u
tp
u
t
v
o
ltag
e
r
eg
u
latio
n
v
ia
p
h
ase
-
s
h
i
f
t
co
n
to
l
an
d
r
ed
u
ce
s
t
h
e
d
e
v
ice
c
u
r
r
en
t
as
e
x
p
er
ien
ce
d
b
y
th
e
h
al
f
-
b
r
id
g
e
co
n
f
ig
u
r
atio
n
.
Un
f
o
r
tu
n
atel
y
,
t
h
er
e
h
a
v
e
b
e
en
n
o
e
x
p
er
i
m
en
ta
l
v
er
i
f
icat
i
o
n
s
r
ep
o
r
ted
f
o
r
th
e
cir
cu
it to
p
o
lo
g
y
.
Du
e
to
s
etb
ac
k
s
o
f
th
e
ex
is
ti
n
g
s
er
ie
s
cir
cu
it
to
p
o
lo
g
y
lik
e
b
ein
g
li
m
i
ted
to
r
eg
u
late
th
e
o
u
tp
u
t
v
o
ltag
e
at
li
g
h
t
o
r
ze
r
o
lo
a
d
c
o
n
d
itio
n
s
,
th
e
C
I
HR
C
as
s
h
o
wn
in
F
i
g
u
r
e
5
w
a
s
d
ev
elo
p
ed
i
n
[
2
7
]
-
[
2
9
]
to
s
o
lv
e
th
e
r
eso
n
a
n
t
cu
r
r
en
t
d
ep
en
d
e
n
c
y
p
r
o
b
le
m
o
f
th
e
s
er
ies
cir
cu
it
co
n
f
ig
u
r
atio
n
o
f
r
eso
n
an
t
co
n
v
er
ter
.
Fu
r
th
er
ad
v
an
ce
d
ap
p
licatio
n
o
f
th
e
p
r
o
p
o
s
ed
c
o
n
v
er
ter
in
lin
e
w
it
h
th
e
r
ap
id
d
ev
elo
p
m
e
n
t
o
f
w
ir
eless
p
o
w
er
tr
an
s
f
er
(
W
PT)
is
p
r
esen
ted
i
n
[
3
0
]
-
[
3
1
]
.
T
h
is
f
u
t
u
r
e
i
n
n
o
v
ati
v
e
te
ch
n
o
lo
g
y
o
f
W
P
T
in
teg
r
ates
th
e
p
r
o
p
o
s
ed
th
r
ee
-
p
h
ase
AC
to
DC
C
I
HR
C
w
it
h
its
s
y
s
te
m
to
ex
p
lo
r
e
th
e
p
o
s
s
ib
ilit
y
o
f
s
u
p
p
l
y
i
n
g
elec
tr
ic
p
o
w
er
esp
ec
iall
y
f
o
r
m
o
b
ile
o
r
r
o
tatin
g
d
ev
ices
w
it
h
o
u
t
a
n
y
w
ir
e
o
r
ca
b
le.
A
s
a
r
esu
lt
o
f
th
i
s
,
ad
d
itio
n
al
is
o
lati
o
n
to
th
e
p
r
o
p
o
s
ed
co
n
v
er
ter
m
o
d
el
ca
n
b
e
en
v
is
a
g
ed
,
en
s
u
r
in
g
a
s
p
ar
k
-
f
r
ee
a
n
d
m
ai
n
ten
a
n
ce
-
f
r
ee
s
y
s
te
m
.
F
u
r
th
er
m
o
r
e,
th
e
u
s
ed
o
f
W
P
T
tech
n
o
lo
g
y
ca
n
i
m
p
r
o
v
e
th
e
r
eliab
ilit
y
o
f
s
u
c
h
s
y
s
te
m
s
i
n
cr
itical
ap
p
licatio
n
s
s
u
c
h
as
r
o
b
o
tics
,
b
io
m
ed
ici
n
e,
ae
r
o
s
p
ac
e
an
d
m
u
lti
-
s
en
s
o
r
w
h
ich
ca
n
t
h
en
s
et
s
u
c
h
d
ev
ices
o
r
s
y
s
t
e
m
s
f
r
ee
f
r
o
m
th
e
in
co
n
v
en
ien
t
w
ir
e
s
[
2
6
]
.
I
n
t
h
is
p
ap
er
,
th
e
o
p
er
atio
n
o
f
c
u
r
r
en
t
in
j
ec
tio
n
tech
n
iq
u
e
w
it
h
th
e
lo
s
s
less
ze
r
o
v
o
lta
g
e
s
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f
th
e
C
I
H
R
C
w
i
th
W
P
T
f
u
n
c
ti
o
n
r
esu
lted
w
it
h
an
al
m
o
s
t
s
in
u
s
o
id
al
a
n
d
in
-
p
h
a
s
e
w
ith
t
h
e
s
u
p
p
l
y
v
o
ltag
e
t
h
u
s
co
n
tr
ib
u
ti
n
g
to
t
h
e
lo
w
T
HD
lev
el
o
f
2
.
7
1
%
w
h
ic
h
al
s
o
s
ati
s
f
y
i
n
g
t
h
e
I
E
E
E
Std
.
5
1
9
.
T
h
e
m
ax
i
m
u
m
p
o
w
er
tr
a
n
s
f
er
e
f
f
icie
n
c
y
o
f
9
2
%
w
as
ac
h
iev
ed
at
a
d
is
tan
ce
o
f
tr
an
s
m
itter
an
d
r
e
ce
iv
er
co
ils
o
f
5
m
m
a
n
d
co
u
p
lin
g
co
e
f
f
icie
n
t
o
f
0
.
5
4
.
T
h
e
co
m
p
ar
is
o
n
o
f
th
e
in
d
iv
id
u
al
h
ar
m
o
n
ic
s
p
ec
tr
u
m
o
f
t
h
e
r
ed
p
h
a
s
e
s
u
p
p
l
y
cu
r
r
e
n
t
w
a
v
e
f
o
r
m
w
ith
t
h
e
I
E
E
E
St
d
.
5
1
9
s
h
o
w
ed
t
h
at
all
o
f
th
e
h
ar
m
o
n
ic
s
p
ec
tr
u
m
w
er
e
w
ell
b
elo
w
th
e
ac
ce
p
tab
l
e
li
m
it a
n
d
s
atis
f
ied
t
h
e
s
ta
n
d
ar
d
.
ACK
NO
WL
E
D
G
E
M
E
NT
S
Au
t
h
o
r
s
g
r
ate
f
u
ll
y
ac
k
n
o
w
led
g
e
t
h
e
f
in
a
n
cial
s
u
p
p
o
r
t
f
r
o
m
I
n
s
ti
tu
te
o
f
R
esear
c
h
Ma
n
a
g
e
m
en
t
an
d
I
n
n
o
v
a
tio
n
(
I
R
MI
)
Un
i
v
er
s
i
ti
T
ek
n
o
lo
g
i M
A
R
A
Gr
a
n
t N
o
:
6
0
0
-
I
R
MI
/M
y
R
A
5
/3
/B
E
ST
AR
I
(
0
2
9
/2
0
1
7
)
.
RE
F
E
R
E
NC
E
S
[1
]
J.
S
h
a
h
a
n
d
G
.
M
o
sc
h
o
p
o
u
lo
s
,
“
T
h
re
e
-
P
h
a
se
Re
c
ti
f
iers
w
it
h
P
o
w
e
r
F
a
c
to
r
Co
rre
c
ti
o
n
,
”
in
Ca
n
a
d
ian
Co
n
f
e
re
n
c
e
o
n
El
e
c
tri
c
a
l
a
n
d
Co
m
p
u
ter E
n
g
in
e
e
rin
g
,
2
0
0
5
.
,
M
a
y
2
0
0
5
,
p
p
.
1
2
7
0
-
1
2
7
3
.
[2
]
D.
A
le
x
a
,
A
.
S
irb
u
,
D.
M
.
Do
b
re
a
,
a
n
d
T
.
G
o
ra
s,
“
T
o
p
o
lo
g
ies
o
f
Th
re
e
-
P
h
a
se
Re
c
ti
f
iers
w
it
h
Ne
a
r
S
in
u
so
id
a
l
I
n
p
u
t
Cu
rre
n
ts,” IE
E
P
ro
c
e
e
d
i
n
g
s
–
El
e
c
tri
c
P
o
w
e
r
A
p
p
li
c
a
ti
o
n
s
,
v
o
l.
1
5
1
,
n
o
.
6
,
N
o
v
2
0
0
4
,
p
p
.
6
7
3
-
6
7
8
.
[3
]
H.
W
a
n
g
,
M
.
S
u
,
Y.
S
u
n
,
J.
Ya
n
g
,
G
.
Zh
a
n
g
,
W
.
G
u
i,
a
n
d
J.
F
e
n
g
,
“
Tw
o
-
S
tag
e
M
a
tri
x
Co
n
v
e
rter
Ba
se
d
o
n
T
h
ird
-
Ha
r
m
o
n
ic In
jec
ti
o
n
T
e
c
h
n
iq
u
e
,
”
I
EE
E
T
ra
n
sa
c
ti
o
n
s o
n
P
o
w
e
r
El
e
c
tro
n
ics
,
v
o
l
.
3
1
,
n
o
.
1
,
Ja
n
2
0
1
6
,
p
p
.
5
3
3
-
5
4
7
.
[4
]
J.
C.
P
e
li
c
e
r,
F
.
J.
M
.
d
e
S
e
ix
a
s,
A
.
C.
d
e
L
o
u
re
n
o
,
a
n
d
L
.
d
.
S
.
d
.
C.
e
S
il
v
a
,
“
No
v
e
l
Iso
late
d
M
u
lt
i
-
P
u
lse
Re
c
ti
f
iers
w
it
h
L
o
w
Cu
rre
n
t
Disto
rti
o
n
u
si
n
g
T
h
re
e
-
P
h
a
se
Ha
l
f
-
Co
n
tro
ll
e
d
Bo
o
st
Co
n
v
e
rters
,
”
in
2
0
1
5
IEE
E
1
3
t
h
Bra
z
il
ian
P
o
w
e
r
El
e
c
tro
n
ics
Co
n
f
e
re
n
c
e
a
n
d
1
st
S
o
u
th
e
r
n
P
o
w
e
r
El
e
c
tro
n
ics
Co
n
f
e
re
n
c
e
(COBEP
/S
P
EC),
N
o
v
2
0
1
5
,
p
p
.
1
-
5.
[5
]
C.
Re
c
h
a
n
d
J.
R.
P
in
h
e
iro
,
“
L
in
e
Cu
rre
n
t
Ha
rm
o
n
ics
Re
d
u
c
ti
o
n
in
M
u
l
ti
-
P
u
lse
Co
n
n
e
c
ti
o
n
o
f
A
s
y
m
m
e
tri
c
a
ll
y
L
o
a
d
e
d
Re
c
ti
f
iers
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
I
n
d
u
strial
El
e
c
tr
o
n
ics
,
v
o
l.
5
2
,
n
o
.
3
,
Ju
n
e
2
0
0
5
,
p
p
.
6
4
0
-
6
5
2
.
[6
]
B.
S
in
g
h
,
V
.
G
a
rg
,
a
n
d
G
.
Bh
u
v
a
n
e
sw
a
ri,
“
P
o
ly
g
o
n
-
Co
n
n
e
c
ted
A
u
to
tran
sf
o
rm
e
r
-
B
a
se
d
2
4
-
P
u
lse
A
C
-
DC
Co
n
v
e
rter
f
o
r
V
e
c
to
r
-
Co
n
tro
ll
e
d
I
n
d
u
c
ti
o
n
-
M
o
to
r
Driv
e
s,”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
I
n
d
u
strial
El
e
c
tro
n
ics
,
v
o
l.
5
5
,
n
o
.
1
,
Ja
n
2
0
0
8
,
p
p
.
1
9
7
-
2
0
8
.
[7
]
V
.
Vo
rp
e
ria
n
a
n
d
S
.
Cu
k
,
“
A
C
o
m
p
lete
DC
A
n
a
l
y
sis
o
f
th
e
S
e
r
ies
Re
so
n
a
n
t
Co
n
v
e
rter,”
in
1
9
8
2
IEE
E
P
o
w
e
r
El
e
c
tro
n
ics
S
p
e
c
ialists co
n
f
e
re
n
c
e
,
Ju
n
e
1
9
8
2
,
p
p
.
8
5
-
1
0
0
.
[8
]
H.
Ka
n
a
a
n
,
K.
A
l
-
Ha
d
d
a
d
,
R.
Ch
a
ff
a
i,
L
.
Du
g
u
a
y
,
a
n
d
F
.
F
n
a
iec
h
,
“
In
p
u
t/
O
u
tp
u
t
F
e
e
d
b
a
c
k
L
in
e
a
riz
a
ti
o
n
T
e
c
h
n
iq
u
e
A
p
p
li
e
d
to
a
CIT
P
R
[
Cu
rre
n
t
-
In
jec
ti
o
n
T
h
re
e
-
P
h
a
se
Re
c
ti
f
ier]
,
"
in
2
0
0
1
IEE
E
3
2
n
d
A
n
n
u
a
l
P
o
w
e
r
El
e
c
tro
n
ics
S
p
e
c
ialis
ts Co
n
f
e
re
n
c
e
,
2
0
0
1
.
P
ES
C
.
v
o
l.
3
,
2
0
0
1
,
p
p
.
1
3
2
1
-
1
3
2
6
.
[9
]
A
.
V
.
T
.
Ch
a
n
d
ra
se
k
a
r,
Dr.
Ju
stu
s
Ra
b
i,
“
A
S
tu
d
y
a
n
d
Re
v
ie
w
o
f
Cu
rre
n
t
In
jec
ti
o
n
T
e
c
h
n
iq
u
e
s,”
In
tern
a
ti
o
n
a
l
Jo
u
rn
a
l
o
f
T
e
c
h
n
o
lo
g
y
a
n
d
En
g
in
e
e
rin
g
S
c
ien
c
e
[
IJT
ES
],
V
o
l
1
(
6
),
S
e
p
t
2
0
1
3
,
p
p
1
0
0
8
-
1
0
0
1
3
.
[1
0
]
H.
Ka
n
a
a
n
,
K.
A
l
-
Ha
d
d
a
d
,
R.
C
h
a
ffa
i,
L
.
Du
g
u
a
y
,
a
n
d
F
.
F
n
a
iec
h
,
“
A
Co
m
p
a
ra
ti
v
e
S
tu
d
y
o
f
H
y
ste
r
e
sis
a
n
d
P
W
M
Co
n
tr
o
l
T
e
c
h
n
iq
u
e
s
A
p
p
li
e
d
to
a
n
In
jec
ti
o
n
-
C
u
rre
n
t
-
Ba
se
d
T
h
re
e
-
P
h
a
se
Re
c
ti
f
ier,”
in
Ca
n
a
d
ian
Co
n
f
e
re
n
c
e
o
n
El
e
c
tri
c
a
l
a
n
d
Co
m
p
u
ter E
n
g
in
e
e
rin
g
,
v
o
l.
2
,
2
0
0
1
,
p
p
.
7
8
5
-
7
9
2
.
[1
1
]
M
.
Y.
T
a
rn
in
i,
“
Ha
r
m
o
n
ic
F
il
tratio
n
b
y
Cu
rre
n
t
In
jec
ti
o
n
a
n
d
S
h
u
n
t
Ca
p
a
c
it
o
rs
T
e
c
h
n
iq
u
e
,
”
in
2
0
1
3
3
rd
In
tern
a
ti
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
El
e
c
t
ric P
o
w
e
r
a
n
d
En
e
rg
y
Co
n
v
e
rsio
n
S
y
ste
m
s (E
P
ECS
)
,
Oc
t
2
0
1
3
,
p
p
.
1
-
5.
[1
2
]
M
.
T
a
leb
a
n
d
T
.
H.
Ortm
e
y
e
r,
“
Ex
a
m
in
a
ti
o
n
o
f
th
e
C
u
rre
n
t
I
n
jec
ti
o
n
T
e
c
h
n
iq
u
e
[
Distri
b
u
ti
o
n
Ne
t
w
o
rk
s]
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s o
n
P
o
w
e
r
De
li
v
e
r
y
,
v
o
l.
7
,
n
o
.
1
,
Ja
n
1
9
9
2
,
p
p
.
4
4
2
-
4
4
8
.
[1
3
]
H.
Y.
Ka
n
a
a
n
a
n
d
K.
A
l
-
Ha
d
d
a
d
,
“
T
h
re
e
-
P
h
a
se
Cu
rre
n
t
-
In
jec
ti
o
n
Re
c
ti
f
iers
:
Co
m
p
e
ti
ti
v
e
T
o
p
o
lo
g
ies
f
o
r
P
o
w
e
r
F
a
c
to
r
Co
rre
c
ti
o
n
,
”
IEE
E
In
d
u
str
i
a
l
El
e
c
tro
n
ics
M
a
g
a
z
in
e
,
v
o
l.
6
,
n
o
.
3
,
S
e
p
t
2
0
1
2
,
p
p
.
2
4
-
4
0
.
[1
4
]
P
.
P
e
jo
v
ic,
P
.
Bo
z
o
v
ic,
a
n
d
D.
S
h
m
il
o
v
it
z
,
“
L
o
w
-
H
a
r
m
o
n
ic,
T
h
re
e
-
P
h
a
se
Re
c
ti
f
ier
th
a
t
A
p
p
li
e
s
C
u
rre
n
t
In
jec
ti
o
n
a
n
d
a
P
a
ss
iv
e
Re
sista
n
c
e
E
m
u
lato
r,
”
IEE
E
P
o
w
e
r
El
e
c
tro
n
ics
L
e
tt
e
r
s,
v
o
l.
3
,
n
o
.
3
,
S
e
p
t
2
0
0
5
,
p
p
.
9
6
-
1
0
0
.
[1
5
]
B.
M
.
Bir
d
,
J.
F
.
M
a
rsh
,
a
n
d
P
.
R.
M
c
L
e
ll
a
n
,
“
Ha
r
m
o
n
ic
Re
d
u
c
ti
o
n
i
n
M
u
lt
i
p
lex
Co
n
v
e
rto
rs
b
y
Tri
p
le
-
F
re
q
u
e
n
c
y
Cu
rre
n
t
In
jec
ti
o
n
,
”
P
ro
c
e
e
d
i
n
g
s
o
f
th
e
In
stit
u
ti
o
n
o
f
El
e
c
tri
c
a
l
En
g
i
n
e
e
rs,
v
o
l.
1
1
6
,
n
o
.
1
0
,
Oc
to
b
e
r
1
9
6
9
,
p
p
.
1
7
3
0
-
1
7
3
4
.
[1
6
]
A
.
Am
e
t
a
n
i,
“
Ha
r
m
o
n
ic
Re
d
u
c
ti
o
n
in
T
h
y
risto
r
Co
n
v
e
rters
b
y
Ha
r
m
o
n
ic
Cu
rre
n
t
In
jec
ti
o
n
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
P
o
w
e
r
A
p
p
a
ra
tu
s a
n
d
S
y
ste
m
s,
v
o
l.
9
5
,
n
o
.
2
,
M
a
r
1
9
7
6
,
p
p
.
4
4
1
-
4
4
9
.
[1
7
]
A
.
I.
M
a
s
w
o
o
d
a
n
d
E.
F
irm
a
n
s
y
a
h
,
“
S
im
p
le
Cu
rre
n
t
I
n
j
e
c
ti
o
n
T
e
c
h
n
i
q
u
e
f
o
r
P
o
w
e
r
F
a
c
to
r
Co
rre
c
ti
o
n
i
n
Co
n
tr
o
ll
e
d
Re
c
ti
f
ier
A
p
p
li
c
a
ti
o
n
s,”
IEE
P
ro
c
e
e
d
in
g
s
-
El
e
c
tri
c
P
o
w
e
r
A
p
p
li
c
a
ti
o
n
s,
v
o
l
.
1
5
2
,
n
o
.
2
,
M
a
rc
h
2
0
0
5
,
p
p
.
2
4
9
-
2
6
0
.
[1
8
]
A
.
I.
M
a
sw
o
o
d
a
n
d
E.
F
irm
a
n
s
y
a
h
,
“
No
v
e
l
Cu
rre
n
t
I
n
jec
ti
o
n
T
e
c
h
n
iq
u
e
in
Co
n
tro
ll
e
d
Re
c
ti
f
ier,”
T
h
e
F
if
th
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
in
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Driv
e
S
y
st
e
m
s,
2
0
0
3
.
P
ED
S
2
0
0
3
.
v
o
l.
2
,
No
v
2
0
0
3
,
p
p
.
1
0
7
0
-
1
0
7
4
.
[1
9
]
R.
A
.
Ra
c
h
e
d
,
H.
Y.
Ka
n
a
a
n
,
a
n
d
K.
A
l
-
Ha
d
d
a
d
,
“
T
h
re
e
-
P
h
a
se
Re
c
ti
f
ier
w
it
h
a
n
A
c
ti
v
e
Cu
rre
n
t
In
jec
ti
o
n
a
n
d
a
S
in
g
le
H
ig
h
-
F
re
q
u
e
n
c
y
In
d
u
c
to
r,
”
in
2
0
1
0
IEE
E
En
e
rg
y
Co
n
v
e
r
sio
n
Co
n
g
re
ss
a
n
d
Ex
p
o
siti
o
n
,
S
e
p
t
2
0
1
0
,
p
p
.
2
0
7
4
-
2
0
7
8
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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lec
&
Dr
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I
SS
N:
2088
-
8
694
S
o
ft S
w
itch
in
g
o
f Th
r
ee
-
P
h
a
s
e
A
C
to
DC
C
I
HR
C
w
ith
W
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r
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s
P
o
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er T
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n
s
fer…
(
R
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imi
B
a
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r
o
m
)
971
[2
0
]
M
.
N.
S
e
ro
ji
,
“
A
n
a
l
y
sis
a
n
d
Co
n
tro
l
De
sig
n
o
f
a
Hig
h
-
P
o
w
e
r
F
a
c
to
r,
T
h
re
e
-
P
h
a
se
A
C/DC
Co
n
v
e
rter
w
it
h
Hig
h
-
F
re
q
u
e
n
c
y
Re
so
n
a
n
t
Cu
rre
n
t
In
j
e
c
ti
o
n
,
”
P
h
.
D.
d
isse
rtatio
n
,
De
p
a
rtme
n
t
o
f
El
e
c
tro
n
ic,
El
e
c
tri
c
a
l
a
n
d
Co
m
p
u
ter
En
g
in
e
e
rin
g
,
Un
iv
e
rsity
o
f
Bir
m
i
n
g
h
a
m
,
De
c
e
m
b
e
r
2
0
0
7
[2
1
]
A
.
M
.
Cro
ss
a
n
d
A
.
J.
F
o
rs
y
th
,
“
A
Hig
h
-
P
o
w
e
r
-
F
a
c
to
r,
T
h
re
e
-
P
h
a
se
Iso
late
d
A
C
-
DC
Co
n
v
e
rt
e
r
u
sin
g
Hig
h
-
F
re
q
u
e
n
c
y
Cu
rre
n
t
In
jec
ti
o
n
,
”
I
E
EE
T
r
a
n
sa
c
ti
o
n
s o
n
P
o
w
e
r
El
e
c
tr
o
n
ics
,
v
o
l
.
1
8
,
n
o
.
4
,
Ju
ly
2
0
0
3
,
p
p
.
1
0
1
2
-
1
0
1
9
.
[2
2
]
M
.
N.
S
e
ro
ji
a
n
d
A
.
J.
F
o
rsy
th
,
“
S
m
a
ll
-
S
ig
n
a
l
M
o
d
e
l
o
f
a
Hig
h
-
P
o
w
e
r
-
F
a
c
to
r,
T
h
re
e
-
P
h
a
se
A
C
-
DC
Co
n
v
e
rter
w
it
h
Hig
h
-
F
re
q
u
e
n
c
y
Re
so
n
a
n
t
Cu
rre
n
t
In
jec
ti
o
n
,
”
in
2
0
0
5
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
P
o
w
e
r
El
e
c
tro
n
ics
a
n
d
Driv
e
s
S
y
st
e
m
s,
v
o
l.
1
,
2
0
0
5
,
p
p
.
4
6
2
-
4
6
7
.
[2
3
]
M
.
N.
S
e
ro
j
i
a
n
d
A
.
J.
F
o
rsy
th
,
“
A
S
i
m
p
le
Dire
c
t
-
F
re
q
u
e
n
c
y
C
o
n
tr
o
l
o
f
A
C/DC
T
h
re
e
-
P
h
a
se
Cu
rre
n
t
In
jec
ti
o
n
S
e
ries
Re
so
n
a
n
t
Co
n
v
e
rter
(CIS
RC),
”
in
IEE
E
S
y
m
p
o
siu
m
o
n
In
d
u
str
ial
El
e
c
tro
n
ics
A
p
p
li
c
a
ti
o
n
s,
2
0
0
9
.
IS
I
EA
2
0
0
9
.
v
o
l.
2
,
Oc
t
2
0
0
9
,
p
p
.
6
5
2
-
6
5
7
.
[2
4
]
M
.
F
.
Om
a
r,
M
.
N.
S
e
ro
ji
,
a
n
d
M
.
K.
Ha
m
z
a
h
,
“
A
n
a
l
y
sis
a
n
d
S
im
u
latio
n
o
f
T
h
re
e
-
P
h
a
se
A
C/
DC
F
u
ll
-
Bri
d
g
e
Cu
rre
n
t
In
jec
ti
o
n
S
e
ries
Re
so
n
a
n
t
Co
n
v
e
rter
(F
BCIS
RC),
”
in
2
0
1
0
IE
EE
S
y
m
p
o
siu
m
o
n
In
d
u
s
tri
a
l
El
e
c
tro
n
ic
s
A
p
p
li
c
a
ti
o
n
s (IS
IEA
),
Oc
t
2
0
1
0
,
p
p
.
1
5
9
-
1
6
4
.
[2
5
]
M
.
F
.
Om
a
r,
M
.
N.
S
e
ro
ji
,
a
n
d
M
.
K.
Ha
m
z
a
h
,
“
A
n
a
l
y
sis
a
n
d
S
i
m
u
latio
n
o
f
P
h
a
se
-
S
h
if
t
Co
n
tr
o
l
f
o
r
T
h
re
e
-
P
h
a
se
A
C/DC
F
u
ll
-
Brid
g
e
Cu
rre
n
t
In
j
e
c
ti
o
n
S
e
ries
Re
so
n
a
n
t
C
o
n
v
e
rt
e
r,
”
in
2
0
1
2
IEE
E
S
y
m
p
o
siu
m
o
n
I
n
d
u
strial
El
e
c
tro
n
ics
a
n
d
A
p
p
li
c
a
ti
o
n
s (IS
I
EA
),
S
e
p
t
2
0
1
2
,
p
p
.
1
1
4
-
1
1
7
.
[2
6
]
M
.
P
.
Ka
z
m
ier
k
o
ws
k
i
a
n
d
A
.
J.
M
o
ra
d
e
w
icz
,
“
Un
p
lu
g
g
e
d
Bu
t
C
o
n
n
e
c
ted
:
Re
v
iew
o
f
Co
n
tac
tl
e
ss
En
e
rg
y
T
ra
n
s
f
e
r
S
y
st
e
m
s,”
IEE
E
In
d
u
str
ial
El
e
c
tr
o
n
ics
M
a
g
a
z
in
e
,
v
o
l.
6
,
n
o
.
4
,
De
c
2
0
1
2
,
p
p
.
4
7
-
5
5
.
[2
7
]
Ra
h
im
i
B
a
h
a
ro
m
,
M
o
h
a
m
m
a
d
N
a
wa
w
i
S
e
ro
ji
a
n
d
M
o
h
d
Kh
a
ir
u
l
M
o
h
d
S
a
ll
e
h
,
“
Co
m
p
u
ter
sim
u
lat
io
n
m
o
d
e
l
a
n
d
p
e
rf
o
r
m
a
n
c
e
a
n
a
l
y
sis
o
f
h
ig
h
p
o
w
e
r
f
a
c
to
r
th
re
e
-
p
h
a
se
A
C
-
DC
c
u
rre
n
t
in
jec
ti
o
n
h
y
b
rid
re
so
n
a
n
t
c
o
n
v
e
rter”
,
2
0
1
5
IEE
E
1
0
th
Co
n
f
e
re
n
c
e
o
n
In
d
u
str
ial
El
e
c
tro
n
ics
a
n
d
A
p
p
li
c
a
ti
o
n
s (
ICIEA
),
P
a
g
e
s: 1
4
0
3
–
1
4
0
7
,
Ye
a
r:
2
0
1
5
.
[2
8
]
Ra
h
im
i
Ba
h
a
ro
m
,
M
o
h
a
m
m
a
d
Na
wa
w
i
S
e
ro
ji
,
M
o
h
d
Kh
a
ir
u
l
M
o
h
d
S
a
ll
e
h
,
Kh
a
iru
l
S
a
f
u
a
n
M
u
h
a
m
m
a
d
,
“
A
h
ig
h
p
o
w
e
r
f
a
c
to
r
th
re
e
-
p
h
a
se
A
C
-
D
C
c
u
rre
n
t
in
jec
ti
o
n
h
y
b
rid
re
so
n
a
n
t
c
o
n
v
e
rter”
,
IEC
ON
2
0
1
6
-
4
2
n
d
A
n
n
u
a
l
Co
n
f
e
re
n
c
e
o
f
th
e
IEE
E
In
d
u
stria
l
El
e
c
tro
n
ics
S
o
c
iety
,
P
a
g
e
s: 3
1
2
3
–
3
1
2
8
,
Ye
a
r:
2
0
1
6
.
[2
9
]
Ra
h
im
i
B
a
h
a
ro
m
,
M
o
h
a
m
m
a
d
Na
w
a
w
i
S
e
ro
ji
,
M
o
h
d
Kh
a
iru
l
M
o
h
d
S
a
ll
e
h
,
Ih
sa
n
M
o
h
d
Ya
ss
in
,
“
S
tea
d
y
-
sta
te
A
n
a
l
y
si
s
o
f
T
h
re
e
-
P
h
a
se
A
C
to
DC
Co
n
v
e
rter
u
sin
g
C
u
rre
n
t
I
n
jec
ti
o
n
Hy
b
rid
Re
so
n
a
n
t
Co
n
v
e
rter
f
o
r
P
o
w
e
r
F
a
c
to
r
Co
rre
c
ti
o
n
”
,
2
0
1
6
7
th
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
I
n
telli
g
e
n
t
S
y
st
e
m
s,
M
o
d
e
ll
i
n
g
a
n
d
S
im
u
latio
n
(
IS
M
S
),
P
a
g
e
s:
2
5
6
–
2
6
0
,
Ye
a
r:
2
0
1
6
.
[3
0
]
R.
Ba
h
a
ro
m
a
n
d
M
.
N.
S
e
ro
ji
;
“
M
o
d
e
ll
i
n
g
A
n
d
S
im
u
latio
n
o
f
Hi
g
h
P
o
w
e
r
F
a
c
to
r
T
h
re
e
-
P
h
a
se
AC
-
DC
Co
n
v
e
rter
W
it
h
W
irele
ss
P
o
w
e
r
T
ra
n
s
f
e
r
F
u
n
c
ti
o
n
Us
i
n
g
Cu
rre
n
t
I
n
jec
ti
o
n
Hy
b
rid
Re
so
n
a
n
t
T
e
c
h
n
iq
u
e
”
;
Jo
u
rn
a
l
o
f
F
u
n
d
a
m
e
n
tal
a
n
d
A
p
p
li
e
d
S
c
ie
n
c
e
s,
V
o
l.
1
0
,
N
o
.
6
S
(2
0
1
8
),
P
a
g
e
s:
6
4
6
–
6
5
7
,
M
a
rc
h
2
0
1
8
.
[3
1
]
R.
Ba
h
a
ro
m
,
M
.
N
.
S
e
r
o
ji
,
K.
S
.
M
u
h
a
m
m
a
d
a
n
d
N.
F
.
N.
Ism
a
il
;
“
T
h
re
e
-
P
h
a
se
A
C
to
DC
CIHRC
w
it
h
W
irele
ss
P
o
w
e
r
T
ra
n
s
f
e
r
F
u
n
c
ti
o
n
”
;
J
o
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c
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rter
.
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