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J
P
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l.
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,
No
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1
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Ma
r
ch
2
0
1
8
,
p
p
.
231
~
239
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SS
N:
2088
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8
694
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.
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pp
2
3
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-
239
231
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ly
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1
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[
2
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.
Ou
tp
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I
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P
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Vo
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9
,
No
.
1
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Ma
r
ch
2
0
1
8
:
231
–
2
3
9
232
p
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h
e
eq
u
al
ar
ea
cr
iter
io
n
an
d
h
ar
m
o
n
ics
in
j
ec
tio
n
ar
e
p
r
o
p
o
s
ed
f
o
r
r
ea
lizin
g
th
e
t
w
o
lev
el
an
d
m
u
lt
ilev
e
l
in
v
er
ter
[
4
]
.
T
o
tal
h
ar
m
o
n
ic
s
d
is
to
r
ti
o
n
is
r
ed
u
ce
d
b
y
s
in
g
le
p
h
a
s
e
m
u
lt
ilev
e
l
i
n
v
er
ter
u
s
i
n
g
v
ar
io
u
s
p
u
ls
e
w
id
t
h
m
o
d
u
latio
n
tech
n
iq
u
e
s
[
5
]
.
I
n
ca
s
ca
d
e
d
i
n
v
er
ter
m
a
n
y
s
in
g
le
f
u
ll
b
r
id
g
e
in
v
er
ter
ea
c
h
h
av
in
g
its
o
w
n
d
c
s
o
u
r
ce
ar
e
co
n
n
ec
ted
i
n
s
er
ies.
T
h
is
d
c
v
o
lta
g
e
ca
n
b
e
o
b
tain
ed
b
y
u
s
i
n
g
d
c
b
atter
y
o
r
r
en
e
w
ab
le
s
o
u
r
ce
s
o
n
th
e
i
n
p
u
t
s
id
e.
E
ac
h
o
f
th
e
p
o
w
er
s
w
itch
co
n
d
u
ct
f
o
r
a
cy
c
le
o
f
1
8
0
d
eg
r
ee
s
.
T
h
e
s
tr
ess
o
n
ea
c
h
s
w
i
tch
is
r
ed
u
ce
d
b
ec
au
s
e
o
f
th
e
s
er
ies
co
n
n
ec
tio
n
.
Ser
ie
s
co
n
n
ec
tio
n
o
f
T
w
o
H
B
r
id
g
e
in
v
er
ter
s
is
p
r
o
p
o
s
ed
w
it
h
m
o
d
i
f
ie
d
P
W
M
tech
n
iq
u
e
,
s
w
itc
h
in
g
lo
s
s
e
s
ar
e
r
ed
u
ce
d
w
it
h
les
s
n
u
m
b
er
o
f
s
w
i
tch
e
s
[
6
-
7
]
.
T
h
e
e
m
er
g
en
ce
o
f
m
u
lti
-
le
v
el
tec
h
n
o
lo
g
y
i
n
r
ec
en
t
ti
m
es
h
as
s
er
v
ed
to
p
lay
an
i
m
p
o
r
tan
t
r
o
le
i
n
t
h
e
ar
ea
o
f
h
i
g
h
p
o
w
er
m
ed
i
u
m
v
o
lta
g
e
e
n
er
g
y
co
n
tr
o
l.
T
h
is
p
ap
er
p
r
esen
ts
aa
ca
s
ca
d
ed
m
u
l
tile
v
el
i
n
v
er
ter
w
h
ich
is
u
s
ed
to
r
ed
u
ce
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
.
A
ca
s
ca
d
ed
m
u
lt
il
ev
el
i
n
v
er
ter
co
n
s
i
s
ts
o
f
s
er
ie
s
C
B
B
r
id
g
e
(
s
i
n
g
le
p
h
ase,
f
u
ll
b
r
id
g
e)
i
n
v
er
ter
u
n
i
ts
.
I
n
o
r
d
er
to
i
m
p
r
o
v
e
t
h
e
h
ig
h
p
o
w
er
h
i
g
h
q
u
al
it
y
ap
p
licatio
n
s
o
f
th
e
m
u
lt
ilev
e
l
to
p
o
lo
g
y
,
t
h
e
n
u
m
b
er
o
f
s
w
itc
h
es
h
a
v
e
b
ee
n
r
ed
u
ce
d
.
T
h
e
p
r
o
p
o
s
ed
m
eth
o
d
n
o
t
o
n
l
y
p
r
o
d
u
ce
s
th
e
v
ar
iab
le
AC
v
o
ltag
e
w
it
h
o
u
t
h
ar
m
o
n
ics
b
u
t
also
r
ed
u
ce
s
t
h
e
n
o
o
f
s
w
itc
h
es.
T
h
e
s
i
m
u
lat
io
n
h
as
b
ee
n
ca
r
r
ied
o
u
t
u
s
i
n
g
m
at
lab
S
i
m
u
li
n
k
s
o
f
t
w
ar
e
[
8
]
.
T
h
is
p
ap
er
p
r
esen
ts
s
in
g
le
-
p
h
a
s
e
ca
s
ca
d
ed
H
-
B
r
id
g
e
I
n
v
er
ter
w
it
h
m
i
n
i
m
u
m
n
u
m
b
er
o
f
p
o
w
er
elec
tr
o
n
ics
d
e
v
ices.
E
ac
h
ce
ll
o
f
th
e
p
r
o
p
o
s
ed
in
v
er
ter
c
o
n
s
is
ts
o
f
4
u
n
id
ir
ec
tio
n
al
s
w
itc
h
e
s
a
n
d
s
i
n
g
le
b
id
ir
ec
tio
n
al
s
w
i
tch
.
T
o
g
en
er
ate
a
m
u
ltil
e
v
el
o
u
tp
u
t
S
in
g
l
e
ca
r
r
ier
an
d
m
u
lticar
r
ier
P
W
M
m
e
th
o
d
is
u
s
ed
.
T
h
e
p
r
o
p
o
s
ed
m
u
ltil
e
v
el
i
n
v
er
ter
is
also
co
m
p
ar
ed
w
it
h
co
n
v
en
t
io
n
al
s
y
m
m
etr
ical
C
HB
,
A
s
y
m
m
etr
ical
C
HB
w
it
h
b
in
ar
y
an
d
tr
ip
le
co
n
f
i
g
u
r
atio
n
s
.
T
h
e
co
m
p
ar
is
o
n
is
ca
r
r
ied
o
u
t
o
n
th
e
b
asis
o
f
n
u
m
b
er
o
f
co
m
p
o
n
en
ts
,
n
u
m
b
er
o
f
DC
s
o
u
r
ce
s
,
n
u
m
b
er
o
f
B
alan
cin
g
ca
p
ac
ito
r
s
,
S
w
itc
h
in
g
an
d
co
n
d
u
ctio
n
lo
s
s
es.
T
h
e
p
r
o
p
o
s
ed
C
ascad
ed
H
-
B
r
id
g
e
I
n
v
er
ter
i
s
t
h
e
n
s
i
m
u
lated
u
s
i
n
g
M
A
T
L
A
B
/SIM
U
L
I
NK
an
d
is
i
m
p
le
m
en
ted
in
h
ar
d
w
ar
e
u
s
i
n
g
SP
AR
T
A
N3
A
DSP
.
[
9
]
Desp
ite
o
f
ca
s
ca
d
ed
H
b
r
id
g
e
m
u
ltil
e
v
el
i
n
v
er
ter
s
tr
u
ctu
r
e
allo
w
i
n
g
m
o
d
u
lar
ized
cir
cu
it
la
y
o
u
t
a
n
d
p
ac
k
ag
i
n
g
,
it
s
ti
ll
h
ad
th
e
d
r
a
w
b
ac
k
o
f
g
e
tti
n
g
p
r
o
n
e
to
h
ig
h
s
w
itc
h
i
n
g
lo
s
s
es
d
u
e
to
h
ig
h
s
w
itc
h
i
n
g
f
r
eq
u
en
c
y
.
T
h
is
p
r
o
b
lem
co
u
l
d
o
n
l
y
b
e
r
ec
ti
f
ied
b
y
eit
h
er
r
e
d
u
cin
g
t
h
e
n
u
m
b
er
o
f
s
e
m
ico
n
d
u
cto
r
s
w
itc
h
es
o
r
d
ec
r
ea
s
in
g
th
e
n
u
m
b
er
o
f
s
witch
i
n
g
p
er
c
y
cle.
T
h
is
p
ap
er
p
r
esen
ts
a
1
1
lev
el
ca
s
ca
d
ed
H
b
r
id
g
e
i
n
v
er
ter
f
ee
d
in
g
R
L
lo
ad
,
w
h
ich
o
v
er
co
m
e
s
t
h
e
f
o
r
e
s
aid
d
r
a
w
b
ac
k
s
alo
n
g
w
i
th
t
h
e
ad
v
a
n
ta
g
e
o
f
r
ed
u
ce
d
s
w
i
tch
i
n
g
lo
s
s
es
a
n
d
le
s
s
er
h
ar
m
o
n
ic
d
i
s
to
r
tio
n
.
T
h
e
p
r
o
p
o
s
ed
as
y
m
m
etr
ical
H
b
r
id
g
e
i
n
v
er
ter
u
s
es
les
s
er
n
u
m
b
er
o
f
s
w
itc
h
es
f
o
r
s
w
itc
h
in
g
[
1
0
]
.
T
h
e
u
n
eq
u
al
v
o
lta
g
e
s
o
u
r
ce
s
c
a
n
h
elp
i
n
s
h
ap
i
n
g
t
h
e
in
v
er
ter
o
u
tp
u
t
v
o
ltag
e.
W
it
h
p
r
o
p
er
s
w
itch
in
g
,
n
u
m
b
er
o
f
lev
e
ls
ca
n
b
e
i
n
c
r
ea
s
ed
th
u
s
r
ed
u
cin
g
th
e
h
ar
m
o
n
ic
d
is
to
r
tio
n
.
I
n
th
is
p
ap
er
a
n
e
w
to
p
o
lo
g
y
f
o
r
m
u
lt
ilev
e
l
in
v
er
ter
is
p
r
esen
te
d
f
o
r
th
e
r
ed
u
ctio
n
o
f
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
r
ed
u
ctio
n
in
s
w
i
tch
in
g
lo
s
s
e
s
an
d
h
ig
h
er
v
o
lta
g
e
ca
p
ab
ilit
y
b
y
i
n
cr
ea
s
i
n
g
t
h
e
n
u
m
b
er
o
f
le
v
els
u
s
i
n
g
ca
s
ca
d
ed
H
b
r
id
g
e
tech
n
o
lo
g
y
.
I
t
in
c
lu
d
es
d
esig
n
an
d
s
i
m
u
lat
io
n
s
o
f
1
1
lev
el
C
ascad
ed
H
-
B
r
id
g
e
a
n
d
T
-
b
r
id
g
e
Mu
lti
-
L
e
v
el
in
v
er
ter
u
s
in
g
M
A
T
L
A
B
SIM
U
L
I
NK
s
o
f
t
w
ar
e,
an
d
co
m
p
ar
is
o
n
o
f
T
HD
lev
e
l
in
b
o
th
th
e
ca
s
e
s
.
Ou
tp
u
t
v
o
ltag
e
lev
e
ls
ar
e
p
r
o
d
u
ce
d
u
s
in
g
m
u
lt
icar
r
ier
s
i
n
u
s
o
id
al
p
u
l
s
e
w
id
t
h
m
o
d
u
latio
n
tech
n
iq
u
e.
W
av
ef
o
r
m
b
ec
o
m
e
s
m
o
r
e
s
i
n
u
s
o
id
al
o
n
in
cr
ea
s
i
n
g
th
e
n
u
m
b
er
o
f
lev
els.
I
n
th
i
s
p
ap
er
,
ch
ap
ter
I
I
d
esc
r
ib
e
s
ab
o
u
t
th
e
p
r
o
p
o
s
ed
ele
v
en
le
v
els
ca
s
ca
d
ed
h
b
r
id
g
e
in
v
er
ter
.
C
h
ap
ter
I
I
I
d
elin
ea
te
s
t
h
e
s
i
m
u
latio
n
cir
cu
it
s
a
n
d
r
esu
lts
o
f
f
i
v
e
le
v
el,
ele
v
en
lev
el
H
B
r
id
g
e
an
d
T
b
r
id
g
e
in
v
er
ter
.
C
h
ap
ter
I
V
ex
p
lain
s
ab
o
u
t
h
ar
d
w
ar
e
i
m
p
le
m
en
ta
t
io
n
o
f
th
e
p
r
o
j
ec
t
an
d
T
HD
c
o
m
p
ar
ed
w
i
th
T
b
r
id
g
e
in
v
er
ter
.
Fi
n
all
y
it is
co
n
clu
d
ed
in
C
h
ap
ter
I
V.
2
P
RO
P
O
SE
D
E
L
E
VE
N
L
E
V
E
L
CA
SCAD
E
D
H
-
B
RID
G
E
I
NV
E
R
T
E
R
T
h
e
ca
s
ca
d
ed
m
u
ltil
e
v
el
i
n
v
e
r
ter
s
h
av
e
m
a
n
y
ad
v
a
n
ta
g
es
o
v
er
th
e
co
n
v
e
n
tio
n
al
i
n
v
er
ter
s
th
at
u
s
e
d
io
d
es
an
d
f
l
y
i
n
g
ca
p
ac
ito
r
s
.
So
m
e
o
f
t
h
e
m
ai
n
d
is
ad
v
an
ta
g
es
o
f
o
t
h
er
to
p
o
lo
g
ies
lik
e
d
io
d
e
cla
m
p
ed
an
d
f
l
y
in
g
ca
p
ac
ito
r
is
t
h
e
ch
ar
g
in
g
an
d
d
is
c
h
ar
g
i
n
g
o
f
ca
p
ac
ito
r
s
.
T
h
e
o
u
tp
u
t
v
o
lta
g
e
in
th
e
s
e
to
p
o
lo
g
ies
is
h
al
f
o
f
t
h
e
ap
p
lied
d
c
in
p
u
t.
T
h
es
e
in
v
er
ter
s
h
av
e
a
v
er
y
lo
w
e
f
f
icien
c
y
,
i.e
.
h
al
f
o
f
H
–
b
r
id
g
e
i
n
v
er
ter
.
Ser
ies
ca
s
ca
d
in
g
r
ed
u
ce
s
t
h
e
s
tr
e
s
s
o
n
in
d
i
v
id
u
a
l
s
w
itc
h
es.
T
h
er
e
is
lar
g
e
r
ed
u
ctio
n
i
n
n
o
is
e
a
n
d
elec
tr
o
m
a
g
n
eti
c
in
ter
f
er
e
n
ce
s
.
T
h
e
e
f
f
ic
ien
c
y
o
f
th
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s
e
i
n
v
er
ter
s
ca
n
b
e
f
u
r
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d
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o
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atin
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en
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h
e
p
r
o
p
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ed
m
o
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el
is
a
t
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m
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ltil
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esig
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y
t
h
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s
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d
i
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h
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5
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id
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ea
c
h
h
av
i
n
g
it
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o
w
n
DC
s
u
p
p
l
y
.
T
h
e
n
u
m
b
er
o
f
o
u
tp
u
t
v
o
ltag
e
lev
el
i
n
a
n
i
n
v
er
ter
i
s
g
iv
e
n
b
y
t
h
e
eq
u
atio
n
:
N=
(
2
*
S+1
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w
h
er
e,
N=
n
u
m
b
er
o
f
lev
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ls
;S=
n
u
m
b
er
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i
n
d
ep
en
d
en
t d
c
s
o
u
r
ce
s
.
So
,
f
o
r
an
1
1
lev
el
in
v
er
ter
t
h
e
n
u
m
b
er
o
f
s
o
u
r
ce
s
r
eq
u
ir
e
d
is
f
iv
e.
T
h
e
in
v
er
ter
is
a
s
y
m
m
etr
ical
t
y
p
e.
T
h
e
in
v
er
ter
i
s
s
y
m
m
et
r
ical
as
al
l
t
h
e
f
i
v
e
v
o
ltag
e
s
o
u
r
ce
s
ar
e
o
f
eq
u
al
v
o
lta
g
e.
T
h
e
ter
m
ca
s
ca
d
i
n
g
m
ea
n
s
th
a
t
o
u
tp
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t
o
f
t
h
e
f
ir
s
t
b
lo
ck
is
f
ed
as
in
p
u
t
to
th
e
s
e
co
n
d
b
lo
ck
.
Hen
ce
,
b
y
co
m
b
i
n
in
g
t
h
e
v
ar
io
u
s
d
c
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
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E
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n
&
Dr
i
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I
SS
N:
2088
-
8
694
P
erfo
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ma
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ce
A
n
a
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s
o
f H
-
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Mu
ltil
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ters
fo
r
Ha
r
mo
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ics
…
(
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.
Ush
a
)
233
o
u
tp
u
t
lev
el
s
,
a
s
tep
p
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o
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tp
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t
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e
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ated
h
a
v
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+3
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-
3
v
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v
,
-
5
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.
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h
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in
p
u
t
s
u
p
p
l
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n
b
e
p
r
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id
ed
b
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s
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g
DC
s
u
p
p
l
y
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v
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ltag
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g
e
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er
ated
b
y
a
s
tep
d
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tr
a
n
s
f
o
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m
er
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ier
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et
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a
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en
a
f
ilter
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it
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eli
m
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at
e
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ip
p
les.
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h
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elp
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l
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h
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d
iag
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n
s
is
t
s
o
f
5
h
b
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4
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tch
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s
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0
(
S1
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S2
,
S3
,
S4
,
S5
,
S6
….
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,
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0
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.
T
h
ese
s
w
itch
e
s
co
n
d
u
ct
i
n
v
ar
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s
co
m
b
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s
to
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ea
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l
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i
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w
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v
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s
.
2
.
1
.
P
WM
T
ec
hn
iqu
e
P
W
M
is
p
r
o
ce
s
s
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f
g
en
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g
co
n
s
tan
t
a
m
p
l
itu
d
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ate
p
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l
s
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w
h
ic
h
ar
e
o
b
tain
ed
o
n
co
m
p
ar
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a
r
ef
er
en
ce
s
ig
n
al
o
f
f
u
n
d
a
m
en
t
al
f
r
eq
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e
n
c
y
w
it
h
h
i
g
h
f
r
eq
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e
n
c
y
ca
r
r
ier
w
a
v
e.
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e
s
in
u
s
o
id
al
P
W
M
is
d
o
n
e.
T
h
ec
ar
r
ier
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a
tr
ian
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u
lar
w
a
v
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d
h
as
a
h
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g
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er
f
r
eq
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e
n
c
y
t
h
an
t
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e
r
ef
er
e
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ce
s
i
g
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al.
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o
n
s
tan
t
a
m
p
l
itu
d
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g
a
te
p
u
ls
e
is
g
e
n
er
ated
b
y
m
o
d
u
la
tin
g
th
e
d
u
t
y
c
y
cle.
T
h
e
r
eq
u
ir
ed
p
u
ls
e
is
g
en
er
ated
w
h
e
n
th
e
r
ef
er
en
ce
an
d
ca
r
r
ier
w
a
v
es
ar
e
f
ed
in
to
co
m
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ar
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an
d
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ased
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n
th
e
lo
g
ic
g
i
v
e
n
,
o
u
tp
u
t
i
s
p
r
o
d
u
ce
d
.
Fig
u
r
e
1
s
h
o
w
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t
h
e
p
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s
s
o
f
g
en
er
ati
n
g
m
u
lt
icar
r
ier
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e
w
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m
o
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Fig
u
r
e1
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Mu
lticar
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SP
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T
ab
le
1
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w
itc
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h
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m
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s
o
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s
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g
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t
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.
3
SI
M
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S
UL
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AND
DIS
CUSS
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O
N
Fig
u
r
e
2
.
Fiv
e
L
ev
el
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ascad
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H
B
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e
I
n
v
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ter
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
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8
694
I
n
t J
P
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w
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E
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o
n
&
Dr
i S
y
s
t
,
Vo
l.
9
,
No
.
1
,
Ma
r
ch
2
0
1
8
:
231
–
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3
9
234
Fig
u
r
e
3
.
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Vo
lta
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e
o
f
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e
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el
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ter
Fig
u
r
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4
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o
f
Fiv
e
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el
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ter
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h
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t
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o
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ter
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n
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s
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t
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e
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ated
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n
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g
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r
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2
.
Fig
u
r
e
3
s
h
o
w
s
th
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g
r
ap
h
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et
w
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p
u
t
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o
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e
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e.
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h
e
o
u
tp
u
t
is
s
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p
ed
an
d
co
n
s
is
ts
o
f
5
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v
el
s
.
Fro
m
t
h
e
FF
T
an
al
y
s
is
o
f
f
i
v
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le
v
el
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n
v
er
ter
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e
to
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ar
m
o
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ic
d
is
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tio
n
is
3
3
.
7
6
%
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s
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o
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n
in
F
ig
u
r
e
4
.
Fig
u
r
e
5
.
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lev
en
L
e
v
el
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a
s
ca
d
ed
H
B
r
i
d
g
e
I
n
v
er
ter
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
er
E
lectr
o
n
&
Dr
i
S
y
s
t
I
SS
N:
2088
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f H
-
b
r
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g
e
a
n
d
T
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B
r
id
g
e
Mu
ltil
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el
I
n
ve
r
ters
fo
r
Ha
r
mo
n
ics
…
(
S
.
Ush
a
)
235
Fig
u
r
e
6
.
Ou
tp
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t V
o
lta
g
e
w
it
h
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u
t
Fil
ter
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h
e
o
u
tp
u
t
v
o
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e
o
f
e
lev
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n
l
ev
el
i
n
v
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ter
is
g
e
n
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ated
in
m
atlab
Si
m
u
l
in
k
s
o
f
t
w
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e
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d
e
m
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n
s
tr
ated
in
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ig
u
r
e
5
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h
e
s
i
m
u
latio
n
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s
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r
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ied
o
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t
f
o
r
a
1
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e
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ter
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t
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s
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e
g
r
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h
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et
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m
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n
x
a
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.
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h
e
o
u
tp
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t
w
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e
f
o
r
m
i
s
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en
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ated
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s
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g
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atlab
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m
u
li
n
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it is
d
e
m
o
n
s
tr
ated
i
n
F
ig
u
r
e
6
.
Fig
u
r
e
7
.
T
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tal
Har
m
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ics Di
s
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n
w
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th
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ter
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r
e
7
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u
r
e
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Vo
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m
w
it
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ter
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
I
n
t J
P
o
w
er
E
lectr
o
n
&
Dr
i S
y
s
t
,
Vo
l.
9
,
No
.
1
,
Ma
r
ch
2
0
1
8
:
231
–
2
3
9
236
Usi
n
g
f
il
ter
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r
ed
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ctio
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g
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er
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f
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e
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n
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ter
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tp
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o
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a
t
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ase
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ic
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ter
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ir
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r
e
8
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u
r
e
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o
tal
Har
m
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Di
s
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w
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s
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e
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o
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e
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P
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w
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
er
E
lectr
o
n
&
Dr
i
S
y
s
t
I
SS
N:
2088
-
8
694
P
erfo
r
ma
n
ce
A
n
a
lysi
s
o
f H
-
b
r
id
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e
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n
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id
g
e
Mu
ltil
ev
el
I
n
ve
r
ters
fo
r
Ha
r
mo
n
ics
…
(
S
.
Ush
a
)
239
5
.
CO
NCLUS
I
O
N
H
-
b
r
id
g
e
to
p
o
lo
g
y
h
a
s
m
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ad
v
an
ta
g
es
w
h
e
n
co
m
p
ar
ed
to
T
lev
el.
A
t
h
i
g
h
er
le
v
el,
it
h
a
s
lo
w
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
r
ed
u
ce
d
s
tr
ess
o
n
s
w
i
tch
,
an
d
h
i
g
h
v
o
ltag
e
co
m
p
atib
ilit
y
.
T
h
e
w
av
ef
o
r
m
g
e
n
er
ated
is
s
in
u
s
o
id
al
to
a
lar
g
e
ex
te
n
t.
T
h
e
ef
f
icie
n
c
y
o
f
H
-
b
r
id
g
e
i
s
m
o
r
e
th
an
T
-
b
r
id
g
e
as
w
h
a
te
v
er
in
p
u
t
v
o
lta
g
e
is
ap
p
lied
at
in
p
u
t
s
id
e
ap
p
ea
r
s
a
t
o
u
tp
u
t,
id
ea
ll
y
m
a
k
i
n
g
it
t
w
i
ce
m
o
r
e
ef
f
icie
n
t.
T
h
is
m
a
k
e
i
t
b
est
id
ea
l
s
o
lu
tio
n
f
o
r
Hig
h
v
o
ltag
e
d
c
tr
an
s
m
is
s
io
n
,
Flex
ib
le
A
C
tr
an
s
m
is
s
io
n
s
y
s
te
m
(
F
A
C
T
S),
T
r
ac
ti
o
n
Utilit
y
,
i
n
ter
f
ac
e
f
o
r
r
en
e
w
ab
le
en
er
g
y
s
y
s
te
m
s
.
RE
F
E
R
E
NC
E
S
[1
]
Div
y
a
S
u
b
ra
m
a
n
ian
,
Re
b
iy
a
R
a
sh
e
e
d
“
F
iv
e
Lev
e
l
Ca
sc
a
d
e
d
H
-
Bri
d
g
e
M
u
lt
il
e
v
e
l
In
v
e
rter
Us
in
g
M
u
lt
ica
rrier
P
u
lse
W
id
th
M
o
d
u
latio
n
T
e
c
h
n
iq
u
e
”
In
ter
n
a
ti
o
n
a
l
j
o
u
rn
a
l
o
f
e
n
g
in
e
e
rin
g
a
n
d
in
n
o
v
a
t
ive
tec
h
n
o
lo
g
y
,
Ju
ly
2
0
1
3
:
3
(1
)
:4
3
8
-
4
4
9
.
[2
]
G
o
b
in
a
th
,
M
a
h
e
n
d
ra
n
,
G
n
a
n
a
m
b
a
l,
“
Ne
w
C
a
sc
a
d
e
d
H
-
Brid
g
e
M
u
lt
il
e
v
e
li
n
v
e
rter
w
it
h
I
m
p
ro
v
e
d
E
ff
icie
n
c
y
”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
A
d
v
a
n
c
e
d
Res
e
a
rc
h
in
E
lec
trica
l,
El
e
c
t
ro
n
ics
a
n
d
I
n
stru
me
n
t
a
ti
o
n
E
n
g
in
e
e
rin
g
,
2
0
1
3
:
2
(4
):
1
2
6
3
-
1
2
7
1
.
[3
]
Ay
o
u
b
Ka
v
o
u
si,
Be
h
ro
o
z
V
a
h
id
i,
Re
z
a
S
a
leh
i,
M
o
h
a
m
m
a
d
a
z
e
m
Ba
k
h
sh
iza
d
e
h
,
Na
e
e
m
F
a
ro
k
h
n
i
a
a
n
d
S
.
Ha
m
id
F
a
th
i,
“
A
p
p
li
c
a
ti
o
n
o
f
th
e
Be
e
A
l
g
o
rit
h
m
f
o
r
S
e
lec
ti
v
e
H
a
r
m
o
n
ic
El
im
in
a
ti
o
n
S
trate
g
y
in
M
u
l
ti
lev
e
l
In
v
e
rters
”
,
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
p
o
we
r e
lec
tro
n
ics
,
2
0
1
2
:
2
7
(
4
):1
6
8
9
1
6
9
6
.
[4
]
Da
m
o
u
n
A
h
m
a
d
i,
Ke
Zo
u
,
C
o
n
g
L
i,
Yi
Hu
a
n
g
a
n
d
Ji
n
W
a
n
g
,
“
A
U
n
iv
e
rsa
l
S
e
lec
ti
v
e
Ha
r
m
o
n
ic
El
im
in
a
ti
o
n
M
e
th
o
d
f
o
r
Hig
h
-
P
o
w
e
r
In
v
e
rters
”
,
IEE
E
T
RA
NS
AC
T
IONS
ON P
OW
ER
E
L
ECT
RONICS
,
2
0
1
1
:
2
6
(
1
0
):
2
7
4
3
-
2
7
5
2
.
[5
]
A
d
it
y
a
p
a
ra
sh
a
r
“
Ca
sc
a
d
e
d
H
-
Br
id
g
e
M
u
lt
il
e
v
e
l
In
v
e
rter
in
S
in
g
l
e
P
h
a
se
El
e
v
e
n
L
e
v
e
l
”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
En
g
i
n
e
e
rin
g
Res
e
a
rc
h
a
n
d
Ap
p
li
c
a
ti
o
n
s 2
0
1
4
:
2
(4
):
1
2
2
-
1
2
7
.
[6
]
G
.
P
ra
k
a
sh
,
C.
S
u
b
ra
m
a
n
i,
“
S
p
a
c
e
V
e
c
to
r
a
n
d
S
in
u
so
id
a
l
P
u
lse
W
id
th
M
o
d
u
lati
o
n
o
f
Qu
a
si Z
-
S
o
u
rc
e
In
v
e
rter f
o
r
P
h
o
t
o
v
o
lt
a
ic S
y
ste
m
,
”
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 S
y
s
tem
s
,
7
(3
)
;
2
0
1
6
,
p
p
.
6
0
1
~
6
0
9
.
[7
]
A
n
g
e
lo
Am
b
risi,
M
a
ss
i
m
il
ian
o
d
e
M
a
g
istri
s,
Ra
ff
a
e
l
e
F
re
sa
“
M
u
lt
i
-
o
b
jec
ti
v
e
Op
ti
m
iza
ti
o
n
Ba
se
d
De
sig
n
o
f
Hi
g
h
Eff
icie
n
c
y
DC
-
DC
S
w
it
c
h
in
g
Co
n
v
e
rters
,
”
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
ic
s
a
n
d
Dr
ive
s
S
y
ste
ms
2
0
1
6
:7
(
2
)
:
3
7
9
-
3
8
6
.
[8
]
M
a
riara
ja
P
Brin
d
h
a
S
a
k
th
i
B
“
Re
d
u
c
ti
o
n
o
f
Ha
r
m
o
n
ics
u
sin
g
S
e
v
e
n
Lev
e
l
Ca
sc
a
d
e
d
M
u
lt
il
e
v
e
l
In
v
e
rter
,
”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
n
g
in
e
e
rin
g
Res
e
a
rc
h
&
T
e
c
h
n
o
lo
g
y
,
2
0
1
4
:3
(3
):
2
6
6
-
2
6
9
.
[9
]
M
.
A
ru
n
Ku
m
a
r,
M.
Ka
li
a
m
o
o
rth
y
”
A
No
v
e
l
S
in
g
le
P
h
a
se
Ca
sc
a
d
e
d
H
-
Brid
g
e
In
v
e
rter
w
it
h
Re
d
u
c
e
d
P
o
w
e
r
El
e
c
tro
n
ics
S
w
it
c
h
e
s”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
I
n
n
o
v
a
ti
v
e
Res
e
a
rc
h
i
n
S
c
ien
c
e
,
En
g
i
n
e
e
rin
g
a
n
d
T
e
c
h
n
o
l
o
g
y
,
2
0
1
4
:
3
(3
):
3
7
0
-
3
7
5
.
[1
0
]
Us
h
a
,
S
.
,
S
u
b
ra
m
a
n
i,
C.
,
Din
e
sh
Na
id
u
,
B
.
.
”
V
ish
n
u
V
e
n
k
a
tes
h
,
M
.
S
.
R.
A
n
a
ly
sis
o
f
n
o
n
-
iso
late
d
b
id
irec
ti
o
n
a
l
a
c
ti
v
e
c
la
m
p
e
d
DC
-
DC
c
o
n
v
e
rter
f
o
r
P
V
a
n
d
b
a
tt
e
ry
in
teg
ra
ted
s
y
ste
m
s
,
”
In
d
ia
n
J
o
u
r
n
a
l
o
f
S
c
ien
c
e
a
n
d
T
e
c
h
n
o
l
o
g
y
,
V
o
l
u
m
e
9
,
Iss
u
e
2
2
,
Ju
n
e
2
0
1
6
,
A
rti
c
le n
u
m
b
e
r
9
3
1
9
1
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