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a
se
d
im
p
le
m
e
n
tatio
n
o
f
v
a
rio
u
s
P
W
M
stra
teg
ies
f
o
r
a
n
e
w
H
-
t
y
p
e
F
CM
L
I
to
p
o
lo
g
y
.
T
h
is
liter
at
u
r
e
s
u
r
v
e
y
r
e
v
ea
ls
f
e
w
p
ap
er
s
o
n
l
y
o
n
v
ar
io
u
s
P
W
M
tech
n
iq
u
e
s
an
d
h
en
ce
th
i
s
w
o
r
k
p
r
esen
ts
a
n
o
v
el
ap
p
r
o
ac
h
f
o
r
co
n
tr
o
llin
g
th
e
h
ar
m
o
n
ic
s
o
f
o
u
t
p
u
t
v
o
lta
g
e
o
f
ch
o
s
e
n
M
L
I
e
m
p
lo
y
i
n
g
s
i
n
u
s
o
id
al
P
W
M
s
w
i
tch
i
n
g
s
tr
ateg
ies
w
it
h
tr
ian
g
u
lar
ca
r
r
ier
s
.
Si
m
u
latio
n
s
ar
e
p
er
f
o
r
m
ed
u
s
i
n
g
M
A
T
L
A
B
-
SIM
U
L
I
NK.
H
ar
m
o
n
ics
a
n
al
y
s
is
a
n
d
ev
al
u
at
io
n
o
f
p
er
f
o
r
m
a
n
ce
m
ea
s
u
r
es
f
o
r
v
ar
io
u
s
m
o
d
u
lati
o
n
in
d
ices
h
av
e
b
ee
n
ca
r
r
ied
o
u
t a
n
d
p
r
esen
ted
.
2.
M
UL
T
I
L
E
VE
L
I
N
VE
R
T
E
R
T
h
e
m
u
ltil
e
v
el
i
n
v
er
ter
s
h
av
e
d
r
a
w
n
tr
e
m
en
d
o
u
s
in
ter
es
t
in
th
e
p
o
w
er
in
d
u
s
tr
y
.
M
u
ltil
e
v
e
l
in
v
er
ter
s
ar
e
also
w
el
l
s
u
i
ted
f
o
r
u
s
e
in
r
ea
ctiv
e
p
o
w
er
co
m
p
en
s
atio
n
.
P
o
w
er
elec
tr
o
n
ic
s
tech
n
o
lo
g
ies
h
av
e
also
p
r
o
v
id
ed
an
i
m
p
o
r
ta
n
t
i
m
p
r
o
v
e
m
en
t
o
f
r
en
e
w
ab
le
en
er
g
y
a
p
p
licatio
n
s
.
Ma
n
y
r
en
e
w
ab
le
en
er
g
y
ap
p
licatio
n
s
w
il
l
r
eq
u
ir
e
h
i
g
h
p
o
w
er
i
n
v
er
ter
s
(
>5
0
k
W
)
;
f
o
r
i
n
s
ta
n
ce
,
a
g
r
id
co
n
n
ec
ted
i
n
v
er
ter
.
T
h
er
ef
o
r
e,
m
u
ltil
e
v
el
in
v
er
ter
s
ar
e
s
u
itab
le
f
o
r
t
h
is
ap
p
licatio
n
b
ec
au
s
e
a
m
u
ltil
e
v
el
i
n
v
er
ter
ca
n
p
o
s
s
ib
l
y
p
r
o
v
id
e
th
e
h
i
g
h
v
o
l
t
a
m
p
er
e
r
atin
g
s
;
m
u
l
ti
le
v
el
i
nv
e
r
ter
s
w
ill
s
i
gn
i
f
ica
n
t
l
y
r
ed
u
ce
th
e
m
ag
n
it
u
d
e
o
f
h
ar
m
o
n
i
cs
an
d
i
n
cr
ea
s
es
t
h
e
ou
t
p
u
t
v
o
l
tag
e
a
n
d
p
o
w
er
w
it
h
o
u
t
t
h
e
u
se
of
s
te
p
-
u
p
tr
a
n
s
f
o
r
m
er
.
A
c
a
s
c
a
d
e
d
m
u
lt
i
le
v
el
i
n
v
e
r
ter
c
o
n
s
is
t
s
o
f
a
s
er
ies
o
f
H
-
b
r
i
dg
e
i
n
v
e
r
ter
un
it
s
co
n
n
ec
ted
to
t
h
r
ee
p
h
ase
R
-
L
l
o
a
d
.
T
h
e
g
e
n
er
al
f
un
ct
io
n
o
f
t
h
is
m
u
lt
i
le
v
el
i
nv
er
ter
i
s
to
s
y
n
th
e
s
ize
a
d
e
s
ir
ed
v
o
ltag
e
f
r
o
m
s
e
v
er
al
DC
s
o
u
r
ce
s
.
T
h
e
AC
ter
m
i
n
a
l
v
o
l
t
a
g
e
s
of
ea
c
h
b
r
id
g
e
ar
e
co
n
n
ec
ted
in
s
er
ies.
U
n
li
k
e
th
e
d
io
d
e
cl
a
m
p
ed
o
r
f
l
y
i
n
g
-
ca
p
ac
ito
r
s
in
v
e
r
ter
,
th
e
c
a
s
ca
d
e
d
in
v
er
ter
do
es
n
o
t
r
eq
u
i
r
e
a
n
y
v
o
lta
g
e
cla
m
p
i
n
g
d
i
o
d
es.
T
h
is
c
o
nf
i
g
ur
atio
n
is
us
e
f
u
l
f
o
r
c
o
n
s
tan
t
fr
eq
u
e
n
c
y
a
p
p
licatio
n
s
s
u
ch
a
s
ac
ti
v
e
f
r
o
n
t
-
e
n
d
r
ec
tif
ier
s
,
ac
tiv
e
p
o
w
er
f
ilter
s
,
a
n
d
r
ea
ctiv
e
p
o
w
e
r
c
o
m
p
e
n
s
at
i
o
n
.
I
n
t
h
is
ca
s
e,
o
n
e
of
th
e
v
e
ry
e
f
f
icien
tl
y
u
s
ed
co
n
t
r
o
l
st
r
ateg
i
es
is
t
h
e
s
p
ac
e
v
ec
t
o
r
b
as
e
d
co
n
t
r
o
l,
w
h
ic
h
ca
n
be
i
m
p
le
m
en
ted
u
s
i
n
g
d
ig
ital
s
i
g
n
al
p
r
o
ce
s
so
r
.
Fig
.
1
s
h
o
w
s
t
h
e
th
r
ee
p
h
a
s
e
ca
s
ca
d
ed
m
u
lti
lev
el
i
n
v
er
ter
w
it
h
i
n
d
u
ctio
n
m
o
to
r
lo
ad
.
T
h
e
g
en
er
al
f
u
n
ct
io
n
o
f
t
h
is
m
u
ltil
e
v
el
in
v
er
ter
is
to
p
r
o
d
u
ce
a
p
r
ef
er
r
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v
o
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e
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r
o
m
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al
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ate
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o
u
r
ce
s
,
w
h
ic
h
m
a
y
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e
o
b
tain
ed
f
r
o
m
b
atter
ies,
f
u
el
ce
ll
s
o
r
s
o
lar
ce
lls
.
E
ac
h
DC
s
o
u
r
ce
i
s
co
n
n
ec
ted
to
a
n
H
-
b
r
id
g
e
in
v
er
ter
.
T
h
e
o
p
er
atio
n
o
f
ca
s
ca
d
ed
m
u
ltil
e
v
el
i
n
v
er
ter
is
b
ased
o
n
t
h
e
s
ep
ar
ate
DC
s
o
u
r
ce
s
.
E
ac
h
in
v
er
ter
lev
el
ca
n
g
e
n
er
ate
t
h
r
ee
d
if
f
er
e
n
t
v
o
lta
g
e
o
u
tp
u
ts
,
+V
dc
,
0
an
d
–
V
dc
u
s
in
g
v
ar
io
u
s
co
m
b
in
a
tio
n
s
o
f
f
o
u
r
s
w
i
tch
e
s
.
T
h
e
n
u
m
b
e
r
o
f
o
u
tp
u
t
p
h
a
s
e
v
o
lta
g
e
le
v
els
m
i
n
a
ca
s
ca
d
ed
in
v
er
ter
is
d
ef
i
n
ed
b
y
m
=2
s
+1
,
w
h
er
e
s
is
t
h
e
n
u
m
b
er
o
f
s
ep
a
r
ate
DC
s
o
u
r
ce
s
.
Usi
n
g
th
e
e
x
a
m
p
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tu
r
n
in
g
o
n
T
a1
an
d
T
a4
y
ield
s
+V
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o
u
tp
u
t
v
o
ltag
e,
t
u
r
n
i
n
g
o
n
T
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an
d
T
a3
y
ield
s
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V
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o
u
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t
v
o
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e,
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r
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i
n
g
o
f
f
all
s
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e
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y
ield
s
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o
u
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u
t.
Fig
.
1
s
h
o
w
th
e
p
o
w
er
cir
c
u
it
o
f
t
h
r
ee
p
h
ase
ca
s
ca
d
ed
m
u
lt
ilev
e
l
in
v
er
ter
.
T
h
e
AC
o
u
tp
u
t
v
o
lta
g
e
at
o
th
er
b
r
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ca
n
b
e
o
b
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i
n
t
h
e
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m
e
m
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C
o
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n
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Se
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Fig
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M
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CARR
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R
P
WM
M
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H
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T
h
is
w
o
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k
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s
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ter
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u
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2
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a
s
a
m
p
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P
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en
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lo
g
ic
.
3
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1
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s
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Dis
po
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it
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P
WM
Str
a
t
eg
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T
h
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r
u
les f
o
r
p
h
ase
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Fig
u
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d
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f
o
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a
m
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lt
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l in
v
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ter
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a.
4
ca
r
r
ier
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v
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o
r
m
s
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ase
ar
e
ar
r
an
g
ed
.
b.
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h
e
co
n
v
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ter
is
s
w
itc
h
ed
to
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c
w
h
e
n
th
e
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w
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v
e
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s
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ter
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an
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o
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p
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ier
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v
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o
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ter
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ig
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e
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e
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le
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t
h
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th
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r
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a
v
ef
o
r
m
s
.
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h
e
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o
llo
w
i
n
g
f
o
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m
u
la
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s
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p
licab
le
to
s
u
b
h
ar
m
o
n
ic
P
W
M
s
tr
ateg
y
i.e
P
D,
P
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