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h
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[
1
]
−
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4
]
.
T
h
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m
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[
5
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7
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Am
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8
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,
[
9
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.
Gen
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[
1
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s
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[
1
1
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−
[
1
3
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.
Als
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[
1
4
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.
S
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s
an
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in
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with
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lo
ad
ap
p
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s
[
1
5
]
−
[
1
7
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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N:
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4
I
mp
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f m
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P
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…
(
P
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my
R
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my
)
323
T
o
co
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tr
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[
1
8
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.
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m
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m
u
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[
1
9
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.
A
m
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[
2
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−
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2
3
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.
I
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,
MC
-
PW
M
b
ased
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
id
g
e
i
n
v
er
ter
.
MC
-
PW
M
tech
n
iq
u
e
is
d
e
v
elo
p
ed
to
g
en
er
ate
s
witch
in
g
p
u
ls
es
f
o
r
Z
-
s
o
u
r
ce
in
v
e
r
ter
;
it
lead
s
to
b
o
o
s
t
th
e
in
v
er
ter
o
u
tp
u
t
v
o
ltag
e
with
h
el
p
o
f
s
h
o
o
t
th
r
o
u
g
h
m
o
d
e
o
f
o
p
e
r
atio
n
.
T
h
e
o
u
tp
u
t o
f
Z
-
s
o
u
r
ce
i
n
v
er
ter
is
co
n
n
ec
ted
to
7
-
lev
el
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
.
T
h
is
s
y
s
tem
p
r
o
v
id
es r
ed
u
ce
d
t
o
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
,
im
p
r
o
v
ed
s
tep
p
e
d
o
u
tp
u
t
v
o
ltag
e
a
n
d
c
u
r
r
en
t,
n
ea
r
ly
s
in
u
s
o
id
al
o
u
t
p
u
t
v
o
ltag
e
a
n
d
r
ed
u
ce
d
v
o
ltag
e
s
tr
ess
ac
r
o
s
s
th
e
s
witch
in
g
d
ev
ices.
T
h
e
s
im
u
latio
n
r
esu
lts
o
f
p
r
o
p
o
s
ed
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
e
d
H
-
b
r
id
g
e
in
v
e
r
ter
with
MC
-
PW
M
tech
n
iq
u
e
is
v
er
if
ied
u
s
in
g
MA
T
L
AB
/
S
im
u
lin
k
.
T
h
e
b
lo
ck
d
iag
r
am
o
f
p
r
o
p
o
s
ed
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
in
v
e
r
ter
with
MC
-
PW
M
is
s
h
o
wn
in
Fig
u
r
e
1
.
Fig
u
r
e
1
.
B
lo
ck
d
iag
r
am
o
f
p
r
o
p
o
s
ed
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
in
v
er
ter
2.
7
-
L
E
VE
L
Z
-
SO
U
RCE C
AS
CADED H
-
B
RIDG
E
I
NV
E
RT
E
R
Am
o
n
g
d
if
f
er
e
n
t
m
u
ltil
ev
el
i
n
v
er
ter
cir
cu
it,
ca
s
ca
d
e
d
H
-
b
r
id
g
e
in
v
er
ter
h
as
less
n
u
m
b
er
o
f
p
o
wer
d
ev
ices
an
d
ca
p
ac
ito
r
s
[
2
4
]
,
[
2
5
]
.
T
h
is
to
p
o
lo
g
y
is
d
esig
n
e
d
with
s
er
ies
co
n
n
ec
tio
n
of
H
-
b
r
id
g
e
ci
r
cu
it
with
s
ep
ar
ate
DC
in
p
u
t
s
o
u
r
ce
s
t
o
attain
th
e
d
if
f
er
en
t
lev
el
o
f
o
u
tp
u
t
v
o
ltag
e
[
2
6
]
.
T
h
e
o
u
tp
u
t
ter
m
in
als
o
f
H
-
b
r
id
g
es
ar
e
co
n
n
ec
ted
in
s
er
ies
to
p
r
o
v
id
e
s
im
u
ltan
e
o
u
s
ly
th
r
ee
p
h
ase
o
u
tp
u
t
v
o
ltag
es
[
2
7
]
.
T
h
e
F
i
g
u
r
e
2
s
h
o
ws
th
e
p
o
wer
cir
cu
it
o
f
7
-
lev
el
ca
s
ca
d
ed
l
H
-
b
r
id
g
e
in
v
er
ter
.
T
h
is
ca
s
ca
d
ed
ty
p
e
o
f
m
u
ltil
ev
el
in
v
er
ter
s
is
m
u
ch
s
u
itab
le
f
o
r
AC
lo
ad
ap
p
licatio
n
s
,
in
d
u
s
tr
ial
ap
p
licati
o
n
s
an
d
r
e
n
ewa
b
le
en
e
r
g
y
s
o
u
r
ce
s
.
Fig
u
r
e
2
.
Po
wer
ci
r
cu
it o
f
7
-
le
v
el
ca
s
ca
d
ed
H
-
b
r
i
d
g
e
in
v
er
te
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
13
,
No
.
1
,
M
ar
c
h
20
22
:
322
-
329
324
T
h
is
s
in
g
le
p
h
ase
7
-
le
v
el
ca
s
ca
d
ed
l
H
-
b
r
id
g
e
in
v
e
r
ter
in
clu
d
es
3
DC
in
p
u
t
s
o
u
r
ce
s
,
3
h
alf
H
-
b
r
id
g
e
in
v
er
ter
,
an
d
Z
-
s
o
u
r
ce
n
etwo
r
k
s
ep
ar
ately
f
o
r
ea
ch
p
h
ase
o
f
th
e
cir
cu
it.
W
h
er
e
ea
ch
s
in
g
le
cir
cu
it h
as 4
p
o
wer
s
witch
es,
wh
ich
is
co
n
tr
o
lled
b
y
MC
-
PW
M
s
ch
em
e.
W
ith
h
elp
o
f
th
is
p
o
wer
s
tr
u
ctu
r
e
,
7
-
l
ev
el
s
tep
p
ed
o
u
tp
u
t
v
o
ltag
e
o
b
tain
ed
to
c
o
n
n
ec
t
with
AC
lo
ad
ap
p
licatio
n
s
.
I
t
co
n
s
is
ts
o
f
m
an
y
u
n
its
in
ter
m
s
o
f
b
ac
k
to
b
ac
k
m
an
n
er
t
o
attain
7
-
lev
el
o
u
tp
u
t
v
o
ltag
e.
E
ac
h
H
-
b
r
id
g
e
s
witch
es
ar
e
o
p
e
r
ated
with
d
if
f
er
en
t
co
m
b
i
n
atio
n
s
to
g
et
v
o
ltag
e
lev
els
as
–
Vd
c,
0
+V
d
c;
wh
er
e
S1
an
d
S3
ar
e
co
n
n
ec
ted
i
n
p
o
s
itiv
e
s
id
e,
a
n
d
S2
an
d
S4
ar
e
co
n
n
ec
ted
i
n
n
eg
ativ
e
s
id
e.
T
o
tal
am
o
u
n
t
o
f
o
u
tp
u
t
v
o
ltag
e
r
an
g
e
f
r
o
m
a
ca
s
ca
d
ed
H
-
b
r
id
g
e
cir
cu
it
d
ep
en
d
s
i
o
n
th
e
n
u
m
b
er
of
DC
s
o
u
r
ce
s
ar
e
co
n
n
ec
ted
with
th
e
s
y
s
tem
.
C
ascad
ed
H
-
b
r
id
g
e
s
y
s
tem
m
u
ch
s
u
itab
l
e
f
o
r
v
ar
io
u
s
a
p
p
licatio
n
s
lik
e
s
tatic
v
ar
co
m
p
en
s
ato
r
s
d
esig
n
,
elec
tr
ic
m
o
to
r
d
r
i
v
es,
p
o
wer
q
u
ality
ap
p
licatio
n
s
,
to
in
ter
co
n
n
ec
t
with
r
en
ewa
b
le
en
er
g
y
s
o
u
r
ce
s
an
d
AC
g
r
id
co
n
n
ec
tio
n
an
d
p
o
w
er
f
ac
to
r
co
r
r
ec
tio
n
m
eth
o
d
s
[
2
8
]
.
I
n
th
is
p
r
o
p
o
s
ed
s
y
s
tem
,
7
-
lev
el
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
g
ets
DC
s
o
u
r
ce
f
r
o
m
th
e
Z
-
s
o
u
r
ce
n
etwo
r
k
.
2
.
1
.
Z
-
s
o
urce
net
wo
rk
Gen
er
ally
Z
-
s
o
u
r
ce
n
etwo
r
k
is
d
esig
n
ed
to
im
p
r
o
v
e/b
o
o
s
t
th
e
in
v
er
ter
o
u
tp
u
t
l
v
o
ltag
e.
Z
-
s
o
u
r
ce
i
in
v
er
te
r
o
v
er
c
o
m
es
th
e
r
r
estrictio
n
s
an
d
d
em
e
r
its
o
f
c
o
n
v
en
tio
n
al
v
o
ltag
e
s
o
u
r
ce
in
v
er
ter
(
VSI
)
.
T
h
e
d
esire
d
i
s
tep
p
ed
o
u
tp
u
t
t
v
o
ltag
e
is
o
b
tain
ed
b
y
b
o
o
s
tin
g
i
th
e
DC
lin
k
v
o
ltag
e
f
r
o
m
i
PV
s
y
s
tem
with
h
elp
i
o
f
s
h
o
o
t
th
r
o
u
g
h
i
s
tate,
wh
ich
is
n
o
t
i
p
o
s
s
i
b
le
in
i
tr
ad
itio
n
al
V
SI
in
v
er
ter
.
T
h
r
ee
p
h
ase
th
r
ee
lev
el
Z
-
s
o
u
r
ce
in
v
er
ter
(
Z
VI
)
with
s
in
g
le
i
m
p
ed
an
ce
n
etwo
r
k
,
it
h
as
2
in
d
u
cto
r
s
(
L
1
&
L
2
)
an
d
2
c
ap
ac
ito
r
s
l
co
n
n
ec
ted
b
etwe
en
l
3
-
lev
el
n
eu
tr
al
p
o
in
t
clam
p
ed
(
NPC
)
l
in
v
er
ter
an
d
DC
in
p
u
t
i
v
o
ltag
e
i
s
o
u
r
ce
.
I
n
o
r
d
er
to
attain
th
e
v
o
ltag
e
o
p
e
r
atio
n
,
s
h
o
o
t
l
th
r
o
u
g
h
l
s
tate
is
in
clu
d
ed
in
s
witch
in
g
l
s
eq
u
en
ce
s
.
I
t
is
s
im
p
le
p
r
o
ce
s
s
to
in
tr
o
d
u
ce
th
e
s
h
o
o
t
t
th
r
o
u
g
h
s
tate,
wh
en
all
th
e
s
witch
es
t
ar
e
o
n
p
o
s
itio
n
in
a
p
ar
ticu
lar
leg
s
im
u
lta
n
eo
u
s
ly
.
th
e
b
o
o
s
t
f
ac
to
r
lo
f
Z
-
s
o
u
r
ce
n
etwo
r
k
is
l
d
ef
in
ed
as
(
1
)
.
=
−
(
1
)
W
h
er
e
T
s
-
T
o
tal
l
s
witch
in
g
tim
elp
er
io
d
,
T
a
–
n
o
n
s
h
o
o
t
t
th
r
o
u
g
h
s
tate
tim
e
l
p
er
io
d
,
T
b
–
s
h
o
o
t
th
r
o
u
g
h
t
s
tate
tim
e
p
er
io
d
.
T
h
er
e
ar
e
two
wo
r
k
in
g
l
s
tates
o
f
o
p
er
atio
n
av
ail
ab
le
in
Z
-
s
o
u
r
ce
l
n
etwo
r
k
:
s
h
o
o
t
t
th
r
o
u
g
h
an
d
n
o
n
s
h
o
o
t
t
th
r
o
u
g
h
s
tate.
I
n
Fig
u
r
e
3
(
a
)
,
b
o
th
u
p
p
e
r
an
d
lo
wer
r
s
witch
es
in
a
leg
s
witch
ed
l
ON
l
s
im
u
ltan
eo
u
s
ly
an
d
s
h
o
r
t
cir
cu
it
l
cu
r
r
en
t
will
f
lo
w,
th
e
two
in
d
u
cto
r
s
l
ar
e
s
tar
ts
ch
ar
g
in
g
b
y
t
h
e
l
ca
p
ac
ito
r
s
a
n
d
th
e
d
io
d
e
l
ac
tin
g
as
r
ev
er
s
e
b
iased
l
co
n
d
itio
n
.
T
h
e
ch
an
g
e
in
in
d
u
ct
o
r
l
cu
r
r
e
n
t w
r
i
tten
as
(
2
)
.
=
−
(
2
)
W
h
er
e
i
L
-
in
d
u
cto
r
l
cu
r
r
en
t,
V
C
–
av
er
ag
e
l
ca
p
ac
ito
r
l
v
o
ltag
e.
T
h
e
in
p
u
t
DC
l
s
o
u
r
ce
an
d
in
d
u
cto
r
s
l
ar
e
s
tar
ts
s
u
p
p
li
n
g
elec
tic
l
en
er
g
y
to
l
lo
a
d
an
d
at
s
am
e
tim
e
c
h
ar
g
in
g
l
ca
p
ac
ito
r
s
,
wh
ich
is
s
h
o
wn
i
n
Fig
u
r
e
3
(
b
)
.
T
h
e
in
d
u
cto
r
l
cu
r
r
en
t in
n
o
n
s
h
o
o
t t
h
r
o
u
g
h
l
s
tate
is
d
ef
in
ed
as
(
3
)
.
=
−
(
3
)
B
ased
o
n
th
ese
2
l
wo
r
k
in
g
s
tates
o
u
tp
u
t
l
v
o
ltag
e
in
Z
-
zo
u
ce
l
i
n
v
er
ter
ca
n
b
o
o
s
ted
b
etter
th
an
l
co
n
v
en
ti
o
n
al
b
o
o
s
t c
o
n
v
er
ter
s
,
wh
ich
is
l
d
ef
i
n
ed
as
=
0
.
(
a)
(
b
)
Fig
u
r
e
3
.
Z
-
s
o
u
r
ce
m
o
d
es o
f
o
p
er
atio
n
(
a
)
n
o
n
-
s
h
o
o
t th
r
o
u
g
h
(
b
)
s
h
o
o
t th
r
o
u
g
h
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
I
mp
leme
n
ta
tio
n
o
f m
u
ltica
r
r
ie
r
P
WM
b
a
s
ed
7
-
leve
l Z
-
s
o
u
r
ce
…
(
P
a
la
n
is
a
my
R
a
ma
s
a
my
)
325
3.
M
UL
T
I
CARR
I
E
R
P
W
M
(
M
C
-
P
W
M
)
Mu
lticar
r
ier
s
in
u
s
o
id
al
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M
)
is
t
h
e
ad
v
an
ce
d
m
eth
o
d
o
f
s
in
u
s
o
id
al
PW
M
s
ch
em
e,
wh
er
e
r
ef
e
r
en
ce
s
ig
n
al
is
co
m
p
ar
ed
with
m
u
ltip
le
c
ar
r
ier
s
ig
n
als.
Her
e
s
in
u
s
o
id
al
wav
e
is
co
n
s
id
er
ed
as
r
ef
er
en
ce
s
ig
n
al
an
d
tr
ian
g
u
lar
wav
e
is
co
n
s
id
er
ed
as
m
u
ltip
le
ca
r
r
ier
s
ig
n
als.
Fo
r
g
en
er
atin
g
m
u
ltip
le
s
witch
in
g
p
u
ls
e
s
to
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
,
m
u
ltip
le
n
u
m
b
er
s
o
f
tr
ian
g
u
lar
s
ig
n
als
ar
e
co
m
p
a
r
ed
with
s
in
g
le
s
in
u
s
o
id
al
s
ig
n
al.
B
y
c
o
m
p
ar
in
g
th
e
s
ig
n
als
th
e
r
eq
u
ir
ed
n
u
m
b
er
s
o
f
s
witch
in
g
p
u
ls
es
ar
e
o
b
tain
e
d
.
T
h
e
Fig
u
r
e
4
s
h
o
ws m
u
lticar
r
i
er
p
u
ls
e
wid
th
m
o
d
u
latio
n
f
o
r
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
l
H
-
b
r
id
g
e
in
v
e
r
ter
.
Fig
u
r
e
4
.
Mu
lticar
r
ier
p
u
ls
e
w
id
th
m
o
d
u
latio
n
T
h
e
MC
-
PW
M
is
d
ev
elo
p
ed
t
o
co
n
tr
o
l
th
e
m
u
ltip
le
s
witch
in
g
d
e
v
ices
o
f
7
-
lev
el
ca
s
ca
d
e
d
H
-
b
r
id
g
e
in
v
er
ter
,
wh
e
r
e
its
ess
en
tial
to
p
r
eser
v
e
th
e
s
h
o
o
t
th
r
o
u
g
h
p
r
o
p
o
r
tio
n
as
s
tab
le.
Als
o
,
th
is
s
y
s
tem
u
s
ed
to
d
im
in
is
h
th
e
v
o
ltag
e
s
tr
ess
l
ac
r
o
s
s
th
e
v
ar
io
u
s
p
o
wer
d
ev
ices,
th
e
b
o
o
s
ted
l
v
o
ltag
e
with
ap
p
r
o
p
r
iate
d
is
tin
ctio
n
o
f
in
to
n
atio
n
in
d
e
x
.
T
h
is
m
et
h
o
d
attain
s
b
etter
v
o
ltag
e
l
g
ai
n
with
c
o
n
s
tan
t
l
v
alu
e
o
f
s
h
o
o
t
th
r
o
u
g
h
l
s
tate
an
d
non
-
s
h
o
o
t
th
r
o
u
g
h
s
tate
co
n
d
itio
n
.
B
ased
o
n
t
h
e
MC
-
PW
M
co
n
tr
o
l,
th
e
Z
-
s
o
u
r
ce
l
in
v
e
r
ter
ac
ti
v
ates
eith
er
o
n
u
p
p
er
l
s
h
o
o
t
th
r
o
u
g
h
o
r
lo
wer
l
s
h
o
o
t
th
r
o
u
g
h
m
o
d
e
o
f
o
p
er
ati
o
n
.
T
h
e
p
o
wer
d
ev
ices
a
r
e
s
wi
tch
ed
b
ased
o
n
th
e
s
witch
in
g
p
u
ls
es
ar
e
g
e
n
er
ate
d
u
s
in
g
MC
-
PW
M
co
n
tr
o
l
m
eth
o
d
,
it
lea
d
s
to
g
e
n
er
ate
s
h
o
o
t
th
r
o
u
g
h
l
mode
l
&
wh
ich
is
u
s
ed
to
b
o
o
s
t th
e
in
v
er
ter
o
u
tp
u
t v
o
ltag
e
.
4.
SI
M
UL
A
T
I
O
N
R
E
S
UL
T
S
AND
DIS
CUSS
I
O
N
M
u
lticar
r
ier
p
u
ls
e
wid
th
m
o
d
u
latio
n
PW
M
b
ased
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
is
s
im
u
lated
l
u
s
in
g
MA
T
L
AB
/S
i
m
u
lin
k
.
T
h
is
s
y
s
tem
in
clu
d
es
MC
-
P
W
M
as
co
n
tr
o
l
m
eth
o
d
;
7
-
lev
el
Z
-
s
o
u
r
ce
in
v
er
ter
h
as
1
2
p
o
wer
d
ev
ice
s
with
1
6
A
r
atin
g
.
I
t
h
as
d
esig
n
ed
v
alu
e
o
f
in
d
u
ct
o
r
s
L
1
&
L
2
o
f
4
m
H
a
n
d
ca
p
ac
ito
r
s
C
1
&
C
2
o
f
2
7
0
u
F,
f
r
ee
wh
ee
lin
g
d
io
d
e
D
an
d
DC
in
p
u
t
v
o
ltag
e
o
f
Vd
c.
Fig
u
r
e
5
s
h
o
ws
th
e
s
witch
in
g
p
u
ls
e
g
en
er
atio
n
u
s
i
n
g
MC
-
PW
M
m
eth
o
d
.
F
ig
u
r
e
5
.
Switch
in
g
p
u
ls
e
g
en
er
atio
n
u
s
in
g
MC
-
PW
M
T
h
is
p
r
o
p
o
s
ed
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
is
co
n
tr
o
lled
u
s
in
g
MC
-
PW
M
s
ch
em
e,
th
e
s
witch
in
g
p
u
ls
es
g
en
er
atio
n
ac
h
iev
ed
u
s
in
g
MC
-
PW
M.
O
u
tp
u
t
s
tep
p
ed
v
o
ltag
e
o
f
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
i
d
g
e
i
n
v
er
ter
is
s
h
o
wn
in
F
ig
u
r
e
6
,
wh
ich
is
2
6
6
.
2
V
f
o
r
th
e
DC
in
p
u
t
v
o
l
tag
e
o
f
1
1
0
V.
T
h
e
o
u
tp
u
t
s
tep
p
ed
cu
r
r
en
t
o
f
7
-
le
v
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
is
s
h
o
wn
in
F
ig
u
r
e
7
,
wh
ich
is
5
.
3
2
A.
Vo
ltag
e
ac
r
o
s
s
Z
-
s
o
u
r
ce
n
etwo
r
k
is
s
h
o
wn
in
F
ig
u
r
e
8
in
th
at
v
o
ltag
e
s
tr
ess
ac
r
o
s
s
th
e
s
witch
in
g
d
ev
ice
is
co
n
tr
o
lled
,
it
is
o
b
tain
ed
u
s
i
n
g
MC
-
PW
M
co
n
tr
o
l
m
eth
o
d
.
T
h
e
F
ig
u
r
e
9
s
h
o
ws
th
e
v
o
ltag
e
ac
r
o
s
s
th
e
ca
p
ac
ito
r
s
C
1
&
C
2
,
with
ca
p
ac
ito
r
C
1
o
f
7
4
.
5
V
an
d
ca
p
ac
ito
r
C
2
o
f
7
4
.
8
V.
Similar
ly
,
t
h
e
in
d
u
ct
o
r
p
lace
d
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
,
Vo
l.
13
,
No
.
1
,
M
ar
c
h
20
22
:
322
-
329
326
in
th
e
Z
-
s
o
u
r
ce
n
etwo
r
k
v
alu
e
v
ar
ies
f
o
r
in
d
u
cto
r
L
1
o
f
7
3
.
2
V
an
d
in
d
u
ct
o
r
L
2
o
f
7
3
.
8
V,
wh
ich
is
s
h
o
wn
in
Fig
u
r
e
1
0
.
T
h
e
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
f
o
r
th
is
p
r
o
p
o
s
ed
s
y
s
tem
is
s
h
o
wn
in
Fig
u
r
e
1
1
;
in
th
at
Fig
u
r
e
1
1
(
a)
s
h
o
ws
T
HD
an
aly
s
is
f
o
r
s
tep
p
ed
in
v
er
t
er
o
u
t
p
u
t
v
o
ltag
e
with
2
.
6
5
%,
in
Fig
u
r
e
1
1
(
b
)
s
h
o
ws
T
HD
an
aly
s
is
f
o
r
s
tep
p
ed
o
u
tp
u
t c
u
r
r
en
t w
ith
1
.
5
%.
Fig
u
r
e
6
.
Ou
t
p
u
t step
p
ed
v
o
lta
g
e
o
f
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
e
d
Hb
r
id
g
e
I
n
v
e
r
ter
(
C
HB
I)
Fig
u
r
e
7
.
Ou
t
p
u
t step
p
ed
c
u
r
r
e
n
t o
f
7
-
lev
el
Z
-
s
o
u
r
ce
C
HB
I
Fig
u
r
e
8
.
Vo
ltag
e
ac
r
o
s
s
Z
-
s
o
u
r
ce
n
etwo
r
k
Fig
u
r
e
9
.
Vo
ltag
e
ac
r
o
s
s
th
e
c
ap
ac
ito
r
s
C
1
&
C
2
Fig
u
r
e
1
0
.
Vo
ltag
e
ac
r
o
s
s
th
e
in
d
u
cto
r
s
L
1
&
L
2
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
lec
&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
I
mp
leme
n
ta
tio
n
o
f m
u
ltica
r
r
ie
r
P
WM
b
a
s
ed
7
-
leve
l Z
-
s
o
u
r
ce
…
(
P
a
la
n
is
a
my
R
a
ma
s
a
my
)
327
(
a)
(
b
)
Fig
u
r
e
1
1
.
FF
T
an
aly
s
is
f
o
r
(
a
)
s
tep
p
ed
v
o
ltag
e
an
d
(
b
)
s
tep
p
ed
cu
r
r
en
t
5.
CO
NCLU
SI
O
N
T
h
is
p
ap
er
g
av
e
an
id
ea
ab
o
u
t
im
p
lem
en
tatio
n
o
f
MC
-
PW
M
f
o
r
7
-
lev
el
Z
-
s
o
u
r
ce
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
ter
.
MC
-
PW
M
tech
n
iq
u
e
is
d
ev
elo
p
ed
to
g
en
er
ate
s
witch
in
g
p
u
ls
es
f
o
r
Z
-
s
o
u
r
ce
in
v
er
ter
;
it
lead
s
to
b
o
o
s
t
th
e
in
v
er
ter
o
u
tp
u
t
v
o
l
tag
e
with
h
elp
o
f
s
h
o
o
t
th
r
o
u
g
h
m
o
d
e
o
f
o
p
er
atio
n
.
T
h
e
o
u
tp
u
t
o
f
Z
-
s
o
u
r
c
e
n
etwo
r
k
is
c
o
n
n
ec
te
d
to
7
-
le
v
el
ca
s
ca
d
ed
H
-
b
r
id
g
e
in
v
er
t
er
,
Z
-
s
o
u
r
ce
n
etwo
r
k
b
o
o
s
ts
th
e
in
v
er
te
r
o
u
tp
u
t
v
o
ltag
e
o
f
2
.
5
tim
es
in
p
u
t
DC
v
o
ltag
e.
T
h
is
p
r
o
p
o
s
ed
s
y
s
tem
im
p
r
o
v
es
th
e
in
v
er
ter
o
u
tp
u
t
v
o
ltag
e
an
d
cu
r
r
en
t,
r
ed
u
ce
s
th
e
T
HD
to
2
.
6
5
%
f
o
r
s
tep
p
e
d
v
o
lta
g
e
an
d
1
.
5
%
f
o
r
s
tep
p
ed
c
u
r
r
en
t.
T
h
is
p
r
o
p
o
s
ed
is
d
ev
elo
p
e
d
an
d
an
aly
s
ed
u
s
in
g
MA
T
L
AB
/
S
im
u
lin
k
.
RE
F
E
R
E
NC
E
S
[
1
]
J.
F
.
Zh
u
,
L.
X
u
,
a
n
d
Z.
W
u
,
“
Ef
f
e
c
t
o
f
d
r
i
v
i
n
g
c
y
c
l
e
s
o
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n
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r
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f
f
i
c
i
e
n
c
y
o
f
e
l
e
c
t
r
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c
v
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h
i
c
l
e
s,
”
S
c
i
e
n
c
e
i
n
C
h
i
n
a
S
e
r
i
e
s
E:
T
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c
h
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c
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fro
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srm
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stit
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in
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rk
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g
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p
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rtme
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t
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tri
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l
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tr
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n
g
in
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h
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in
tere
st
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re
:
P
o
we
r
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a
li
ty
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m
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rt
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rid
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icro
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d
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l.
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h
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c
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tac
ted
a
t
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m
a
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:
th
a
m
izh
t@srm
ist.
e
d
u
.
i
n
.
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