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a
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w
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ra
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it
d
e
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n
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e
d
H
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l
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a
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ich
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o
m
b
in
e
s
a
m
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lt
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e
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e
l
in
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e
rter
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I),
a
m
a
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o
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rter
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M
C),
a
n
d
a
n
H
-
b
rid
g
e
c
ircu
it
,
is
d
e
v
e
l
o
p
e
d
.
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ims
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g
e
n
e
ra
te a h
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h
n
u
m
b
e
r
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f
o
u
tp
u
t
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e
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ls
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a
t
re
d
u
c
e
t
h
e
c
o
m
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e
n
t
c
o
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t
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M
I
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se
d
t
o
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l
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h
e
p
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n
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ted
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e
i
n
p
u
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o
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C.
T
h
e
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C
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se
d
t
o
s
h
a
re
th
e
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o
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v
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t
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g
e
d
u
e
t
o
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t
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se
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d
e
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n
d
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o
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th
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re
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n
ts.
Afte
rwa
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e
H
-
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rid
g
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ircu
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u
se
d
in
e
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c
h
p
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se
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th
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o
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e
g
a
ti
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t
p
u
t
v
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g
e
.
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h
e
m
a
in
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n
tri
b
u
ti
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o
f
t
h
is
d
e
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n
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t
h
a
t
th
e
M
I
d
o
e
s
n
o
t
n
e
e
d
to
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p
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ted
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th
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e
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h
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se
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t
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g
e
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se
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-
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a
n
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t
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e
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n
-
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(1
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o
f
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r
o
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se
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c
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is
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re
se
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ted
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fo
ll
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d
b
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a
n
e
w
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rit
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m
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ra
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d
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g
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ATLAB
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imu
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se
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t
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e
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k
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r
d
wa
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ircu
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m
is i
m
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ted
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rif
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t
h
e
d
e
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n
.
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a
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rie
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c
o
m
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term
s o
f
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s c
o
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d
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te
d
.
K
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d
s
:
DC
-
AC
co
n
v
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ter
H
-
b
r
id
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e
cir
c
u
it
Ma
tr
ix
co
n
v
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r
ter
Mu
ltil
ev
el
in
v
er
ter
T
HD
T
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is i
s
a
n
o
p
e
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a
c
c
e
ss
a
rticle
u
n
d
e
r th
e
CC B
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SA
li
c
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.
C
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r
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p
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A
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r
:
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r
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-
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Dep
ar
tm
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Facu
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I
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UCT
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I
n
th
e
f
ir
s
t
g
en
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r
atio
n
o
f
m
u
ltil
ev
el
in
v
er
ter
s
(
MI
s
)
,
th
e
m
ain
ch
allen
g
es
in
clu
d
e
h
o
w
to
co
n
n
ec
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with
h
ig
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a
p
p
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s
an
d
h
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w
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d
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r
ea
s
e
to
tal
h
ar
m
o
n
ic
d
is
to
r
tio
n
(
T
HD)
.
At
th
at
tim
e
,
f
o
u
r
tr
a
d
itio
n
al
MI
s
wer
e
d
esig
n
ed
:
d
io
d
e
clam
p
ed
MI
[
1
]
,
f
ly
in
g
ca
p
ac
ito
r
MI
[
2
]
,
ca
s
ca
d
ed
MI
[
3
]
,
an
d
g
en
er
alize
d
MI
[
4
]
.
At
th
e
s
am
e
tim
e,
f
o
u
r
co
m
m
o
n
s
witch
in
g
alg
o
r
ith
m
s
wer
e
f
o
u
n
d
:
s
p
ac
e
v
ec
to
r
co
n
tr
o
l
[
5
]
,
s
elec
tiv
e
h
ar
m
o
n
ics
elim
in
atio
n
[
6
]
,
[
7
]
as
lo
w
s
witch
in
g
f
r
eq
u
e
n
cy
.
Sp
ac
e
v
ec
to
r
p
u
ls
e
wid
th
m
o
d
u
latio
n
(
PW
M)
[
8
]
,
[
9
]
,
an
d
s
in
u
s
o
id
a
l PW
M
as h
ig
h
f
r
eq
u
en
c
y
co
n
t
r
o
l [
1
0
]
.
Af
ter
war
d
,
m
a
n
y
o
p
tim
ized
d
e
s
ig
n
s
y
s
tem
s
h
av
e
b
ee
n
d
ev
elo
p
ed
to
d
ec
r
ea
s
e
c
o
m
p
o
n
en
t c
o
u
n
t (
C
C
)
,
s
witch
in
g
f
r
eq
u
e
n
cy
,
a
n
d
p
o
w
er
lo
s
s
es.
W
h
ile
o
th
er
s
ar
e
f
o
c
u
s
ed
o
n
in
c
r
ea
s
in
g
th
e
n
u
m
b
e
r
o
f
o
u
tp
u
t
v
o
ltag
e
lev
els,
s
ev
er
al
MI
d
esig
n
s
th
a
t
d
ec
r
ea
s
e
C
C
with
o
u
t
u
s
in
g
an
H
-
b
r
id
g
e
cir
c
u
it
(
e.
g
.
,
T
-
ty
p
e
in
v
er
ter
s
(
T
T
I
s
)
[
1
1
]
-
[
1
3
]
,
ca
s
ca
d
e
d
b
ip
o
lar
s
witch
ed
ce
lls
(
C
B
SC
s
)
[
1
4
]
,
an
d
p
ac
k
ed
-
U
ce
ll
to
p
o
lo
g
y
[
1
5
]
-
[
1
9
]
h
a
v
e
b
ee
n
s
tu
d
ied
.
I
n
a
d
d
itio
n
,
s
ev
er
al
d
esig
n
s
with
an
H
-
b
r
id
g
e
ci
r
cu
i
t
(
e.
g
.
,
ca
s
ca
d
ed
h
alf
b
r
id
g
e
-
b
ased
m
u
ltil
ev
el
DC
-
lin
k
in
v
er
te
r
(
ML
DC
L
)
[
2
0
]
,
s
witch
ed
s
er
ies/
p
ar
allel
s
o
u
r
ce
s
(
SS
PS
)
MI
[
2
1
]
,
s
er
ies
-
c
o
n
n
ec
ted
s
witch
ed
s
o
u
r
ce
s
(
SC
SS
)
MI
[
2
2
]
,
[
2
3
]
,
m
u
ltil
ev
el
m
o
d
u
le
(
ML
M)
[
2
4
]
,
r
e
v
er
s
in
g
v
o
ltag
e
(
R
V)
MI
[
2
5
]
a
n
d
two
s
witch
es
en
ab
led
lev
el
g
en
e
r
atio
n
(
2
SEL
G
)
MI
[
2
6
]
h
av
e
b
ee
n
s
tu
d
ied
to
r
ed
u
ce
th
e
C
C
[
2
6
]
.
MI
o
p
e
r
atio
n
h
as
s
ev
er
al
m
eth
o
d
s
,
an
d
s
o
m
e
o
f
th
em
u
s
e
lo
w
s
witch
in
g
f
r
eq
u
en
cy
o
p
e
r
atio
n
s
(
e
.
g
.
,
eq
u
al
p
h
ase
(
E
P),
h
alf
E
P,
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
C
o
mb
in
a
tio
n
circu
it o
f m
u
ltil
ev
el
in
ve
r
ter,
ma
tr
ix
co
n
ve
r
ter
a
n
d
H
-
b
r
id
g
e
(
A
kra
m
Mo
h
a
mme
d
Al
-
Ma
h
r
o
u
k
)
2477
h
alf
h
eig
h
t,
f
ee
d
f
o
r
war
d
,
n
ea
r
est
lev
el
co
n
tr
o
l
(
NL
C
)
,
an
d
n
ea
r
est
v
ec
to
r
co
n
tr
o
l
(
NVC)
m
eth
o
d
s
)
[
2
7
]
,
[
2
8
]
.
Oth
er
s
u
s
e
h
ig
h
s
witch
in
g
f
r
eq
u
e
n
cy
(
e.
g
.
,
s
p
ac
e
v
ec
to
r
m
o
d
u
latio
n
(
SVM)
an
d
PW
M)
.
Ma
tr
ix
co
n
v
er
ter
s
(
MCs
)
ar
e
w
id
ely
u
s
ed
in
i
n
d
u
s
tr
ial
ap
p
lica
tio
n
s
as
an
AC
-
AC
co
n
v
er
ter
.
MCs
h
av
e
two
ty
p
es:
d
ir
ec
t
an
d
in
d
ir
ec
t.
I
n
d
ir
ec
t
MCs
u
s
e
d
u
al
co
n
v
e
r
ter
s
;
th
e
f
ir
s
t
is
an
A
C
-
to
-
DC
co
n
v
er
ter
,
a
n
d
th
e
s
ec
o
n
d
is
a
D
C
-
to
-
AC
co
n
v
er
ter
.
T
h
u
s
,
a
DC
l
in
k
is
r
eq
u
ir
ed
.
Dir
ec
t
MCs
ar
e
tr
ad
itio
n
al
MCs
th
at
co
n
tain
s
th
r
ee
-
by
-
th
r
ee
s
witch
es.
Ov
er
all,
n
in
e
b
id
ir
ec
tio
n
al
s
witch
es
ar
e
u
s
ed
,
an
d
th
e
m
ain
ap
p
licatio
n
o
f
th
is
ty
p
e
o
f
MC
is
to
d
r
iv
e
th
e
elec
tr
ical
m
o
to
r
s
.
T
h
e
tr
ad
itio
n
al
alg
o
r
i
th
m
o
p
e
r
atio
n
o
f
MCs
(
e.
g
.
,
SVM
an
d
Ven
tu
r
in
m
o
d
u
latio
n
[
29
]
)
h
av
e
b
ee
n
s
tu
d
ied
.
T
h
en
,
r
ec
e
n
t
MC
alg
o
r
ith
m
s
,
s
u
ch
as
h
y
s
ter
esi
s
b
an
d
,
d
ir
ec
t
to
r
q
u
e
co
n
tr
o
l,
m
o
d
el
p
r
e
d
ictiv
e
co
n
t
r
o
l,
an
d
s
lid
in
g
m
o
d
e
c
o
n
tr
o
l
h
av
e
b
ee
n
s
tu
d
ied
[
3
0
]
.
Ho
wev
er
,
m
an
y
co
n
v
er
ter
s
u
s
e
m
u
ltil
ev
el
a
n
d
m
atr
ix
d
esig
n
an
d
s
tr
u
ctu
r
es
as
a
f
ea
tu
r
es
to
s
u
p
p
o
r
t
th
e
co
n
v
er
s
io
n
o
p
er
atio
n
,
p
r
e
v
io
u
s
s
tu
d
ies
h
av
e
s
u
p
p
o
r
ted
MCs
with
m
u
ltil
ev
el
f
ea
tu
r
es
in
s
id
e
th
eir
d
esig
n
s
,
s
u
ch
as
s
tack
ed
MC
[
3
1
]
,
s
p
ar
s
e
MC
[
3
2
]
,
h
e
x
ag
o
n
al
MC
(
h
ex
v
er
ter
)
[
3
3
]
,
an
d
m
atr
ix
i
n
ter
leav
e
d
co
n
v
er
ter
[
3
4
]
.
T
h
e
h
y
b
r
id
d
es
ig
n
o
f
m
u
ltil
ev
el
an
d
m
atr
ix
s
t
r
u
ctu
r
e
d
esig
n
s
,
s
u
c
h
as
m
u
lti
m
o
d
u
lar
[
3
5
]
-
[3
7
]
,
ca
s
ca
d
ed
[
3
8
]
,
an
d
f
ly
in
g
ca
p
ac
ito
r
MI
s
[
39
]
,
h
av
e
b
ee
n
p
r
esen
ted
.
I
n
ter
m
s
o
f
in
d
ir
ec
t
MCs
,
s
ev
er
al
s
tu
d
ie
s
h
av
e
u
s
ed
M
I
s
o
n
DC
-
to
-
AC
s
id
e
(
e.
g
.
,
n
eu
tr
al
p
o
in
t
cla
m
p
e
d
MI
[
4
0
]
,
a
n
d
T
-
ty
p
e
M
I
[
4
1
]
)
.
B
y
co
n
tr
ast,
in
s
id
e
d
ir
ec
t
MCs
ar
e
MI
co
n
n
ec
tio
n
(
e.
g
.
,
m
u
ltil
ev
el
MC
[
4
2
]
a
n
d
a
n
ew
d
esig
n
o
f
MC
to
g
en
er
ate
a
f
iv
e
-
lev
el
(
m
u
ltil
ev
el)
o
u
t
p
u
t
v
o
ltag
e
[
4
3
]
.
I
n
t
h
i
s
s
t
u
d
y
,
a
n
e
w
c
o
n
n
e
c
t
i
o
n
b
e
t
w
e
e
n
M
I
,
d
i
r
e
c
t
M
C
a
n
d
H
-
b
r
i
d
g
e
c
i
r
c
u
i
t
(
H
M
I
M
C
)
i
s
l
i
n
k
e
d
i
n
s
e
r
i
e
s
,
a
s
s
h
o
w
n
i
n
F
i
g
u
r
e
1
.
T
h
e
p
r
o
p
o
s
e
d
s
y
s
t
e
m
i
s
d
e
s
i
g
n
e
d
t
o
r
e
d
u
c
e
t
h
e
C
C
.
T
h
e
p
r
o
p
o
s
e
d
H
M
I
M
C
u
s
e
s
a
n
o
v
e
l
a
l
g
o
r
i
t
h
m
o
p
e
r
a
t
i
o
n
c
a
l
l
e
d
v
o
l
t
a
g
e
s
e
l
e
c
t
i
o
n
a
l
g
o
r
i
t
h
m
(
V
S
A
)
t
o
p
r
o
v
i
d
e
a
s
i
m
p
l
e
a
n
d
s
u
i
t
a
b
l
e
o
p
e
r
a
t
i
o
n
.
M
A
T
L
A
B
s
i
m
u
l
a
t
i
o
n
i
s
u
s
e
d
t
o
c
h
e
c
k
t
h
e
a
p
p
r
o
p
r
i
a
t
e
n
e
s
s
o
f
t
h
e
c
i
r
c
u
i
t
a
n
d
i
t
s
o
p
e
r
a
t
i
o
n
.
l
a
s
t
l
y
,
a
n
e
w
C
C
e
q
u
a
t
i
o
n
o
f
t
h
e
p
r
o
p
o
s
e
d
c
i
r
c
u
i
t
i
s
f
o
u
n
d
a
n
d
c
o
m
p
a
r
e
d
w
i
t
h
t
o
p
r
e
c
e
n
t
M
I
s
t
h
a
t
f
o
c
u
s
o
n
r
e
d
u
c
i
n
g
t
h
e
C
C
s
w
i
t
c
h
e
s
.
3
-
by
-
3
M
a
t
ri
x c
onve
rt
e
r
P
o
s
i
t
i
v
e
M
I
3
P
ha
s
e
L
oa
d
H
-
b
r
i
d
g
e
Fig
u
r
e
1
.
Sch
em
atic
o
f
th
e
p
r
o
p
o
s
ed
cir
cu
it
2.
O
VE
RVI
E
W
O
F
H
M
I
M
C
T
h
e
p
r
o
p
o
s
ed
cir
cu
it
HM
I
MC
h
as
th
r
ee
m
ain
s
tep
s
;
p
o
s
itiv
e
MI
s
tep
,
MC
s
tep
,
an
d
H
-
b
r
id
g
e
s
tep
.
A
s
ev
en
-
lev
el
(
7
L
)
HM
I
MC
ex
a
m
p
le
is
s
h
o
wn
in
Fig
u
r
e
2
.
T
h
e
MI
h
as
th
r
ee
d
if
f
er
en
t
v
o
ltag
e
s
u
p
p
lies
,
an
d
ea
ch
o
n
e
h
as
1
0
0
V
co
n
n
ec
ted
in
s
er
ies.
Mo
r
eo
v
er
,
s
ix
is
o
lated
g
ate
b
ip
o
lar
tr
an
s
is
to
r
(
I
GB
T
)
s
witch
es
ar
e
n
ee
d
ed
in
th
is
ex
am
p
le,
an
d
two
s
witch
es
ar
e
n
ee
d
e
d
f
o
r
ea
ch
v
o
lt
ag
e
s
u
p
p
ly
.
T
h
r
ee
d
if
f
er
e
n
t
o
u
t
p
u
t
v
o
ltag
es
o
f
MI
ar
e
co
n
n
ec
te
d
to
th
e
in
p
u
t
o
f
t
h
e
MC.
T
h
e
tr
ad
itio
n
al
th
r
ee
-
by
-
th
r
ee
MC
is
u
s
ed
;
in
MCs
,
th
r
ee
in
p
u
t v
o
ltag
es
ar
e
r
ec
eiv
ed
,
an
d
th
r
ee
o
u
tp
u
t
v
o
ltag
es
ar
e
p
r
o
d
u
ce
d
.
T
h
e
MC
h
as
n
in
e
s
witch
es;
th
e
o
p
er
atio
n
o
f
th
e
MC
s
witch
es i
s
p
r
esen
ted
in
th
e
n
ex
t sectio
n
.
Af
ter
war
d
,
th
e
o
u
t
p
u
t o
f
th
e
MC is
co
n
n
ec
ted
to
th
e
H
-
b
r
id
g
e
cir
c
u
it
to
k
ee
p
th
e
o
u
tp
u
t
v
o
ltag
e
p
o
s
i
tiv
e
o
r
n
eg
ativ
e
b
ased
o
n
th
e
r
e
q
u
ir
em
en
t.
E
ac
h
p
h
ase
n
ee
d
s
f
o
u
r
I
GB
T
s
witch
es
f
o
r
th
e
H
-
b
r
id
g
e
cir
cu
it,
th
at
is
,
a
to
tal
o
f
twelv
e
I
GB
T
s
witc
h
es a
r
e
r
eq
u
i
r
ed
.
3.
T
H
E
P
RI
NCIPA
L
O
P
E
RA
T
I
O
N
O
F
H
M
I
M
C
T
h
e
o
p
e
r
atio
n
o
f
HM
I
MC
s
tar
ts
b
y
g
e
n
er
atin
g
all
t
h
e
v
o
ltag
es
in
MI
f
r
o
m
0
V
to
3
0
0
V
with
in
a
1
0
0
V
lev
el
s
h
if
t.
I
f
th
e
HM
I
MC
in
Fig
u
r
e
2
is
u
s
ed
,
th
en
3
0
0
V
is
p
r
o
d
u
ce
d
f
r
o
m
th
e
M
I
wh
en
S5
is
0
a
n
d
S6
is
1
;
at
2
0
0
V,
S5
is
1
a
n
d
S
6
is
0
.
T
o
g
en
er
ate
2
0
0
V
an
d
1
0
0
V
in
th
e
s
ec
o
n
d
leg
o
f
M
C
,
S4
is
1
an
d
S3
is
0
,
an
d
f
o
r
1
0
0
V
S4
is
0
an
d
S3
is
1
.
T
o
g
en
er
ate
1
0
0
V
i
n
th
e
th
ir
d
leg
o
f
MC,
s
witch
es
S1
an
d
S2
ar
e
(
0
,
1
)
r
esp
ec
tiv
ely
,
as sh
o
wn
in
T
a
b
l
e
1
.
Af
ter
war
d
,
th
e
MC
s
tep
is
p
er
f
o
r
m
e
d
,
th
e
MC
h
as
th
r
ee
-
by
-
th
r
ee
s
witch
es,
an
d
is
o
p
er
ated
an
d
co
n
tr
o
lled
u
s
in
g
a
th
r
ee
-
by
-
th
r
ee
m
ath
em
atica
l
m
atr
ix
.
T
h
e
n
in
e
s
witch
es
o
f
th
e
MC
ar
e
S1
1
,
S1
2
,
a
n
d
S1
3
f
o
r
th
e
f
ir
s
t c
o
lu
m
n
; S2
1
,
S2
2
,
an
d
S2
3
f
o
r
th
e
s
ec
o
n
d
co
l
u
m
n
;
S3
1
,
S3
2
,
a
n
d
S3
3
f
o
r
th
e
th
ir
d
co
lu
m
n
,
in
(
1
)
.
=
[
11
12
13
21
22
23
31
32
33
]
(
1
)
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.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2476
-
2
4
9
0
2478
L
astl
y
,
th
e
H
-
b
r
id
g
e
s
tep
is
u
s
ed
to
s
et
th
e
n
eg
ativ
e
an
d
p
o
s
itiv
e
v
o
ltag
es
o
f
ea
ch
p
h
ase,
wh
er
e
th
e
n
eg
ativ
e
v
o
ltag
e
u
s
es
th
e
o
p
p
o
s
ite
o
p
er
atio
n
o
f
th
e
p
o
s
itiv
e
tr
ig
g
er
.
W
h
en
th
e
p
o
s
itiv
e
v
o
ltag
e
is
n
ee
d
ed
,
S1
an
d
S4
ar
e
t
u
r
n
ed
o
n
at
H
-
b
r
i
d
g
e
cir
cu
it,
a
n
d
S2
a
n
d
S3
ar
e
tu
r
n
ed
o
f
f
.
T
h
e
o
p
er
atio
n
o
f
t
h
e
H
-
b
r
id
g
e
ca
n
b
e
u
s
ed
in
p
h
ases
A,
B
,
an
d
C
.
100
V
100
V
S6
100
V
S2
S1
S5
S4
S3
S
M
C
1
S
MC
2
S
MC
3
VA
VB
VC
S
1
1
S
2
1
S
3
1
S
1
2
S
2
2
S
3
2
S
1
3
S
2
3
S
3
3
M
a
t
r
i
x
C
o
n
v
e
r
t
e
r
(
3
*
3
)
LA
S
a1
S
a2
S
a3
S
a4
LB
S
b
1
S
b
2
S
b
3
S
b
4
LC
S
c
1
S
c
2
S
c
3
S
c
4
Fig
u
r
e
2
.
7
L
HM
I
MC c
ir
cu
it
T
ab
le
1
.
Valid
s
witch
in
g
s
tates
o
f
7
L
HM
I
MC
#
V
MI
H
-
b
r
i
d
g
e
(
p
h
a
s
e
A)
H
-
b
r
i
d
g
e
(
p
h
a
s
e
B)
H
-
b
r
i
d
g
e
(
p
h
a
s
e
C)
S1
S2
S3
S4
S5
S6
S
a
1
S
a
2
S
a
3
S
a
4
S
b
1
S
b
2
S
b
3
S
b
4
S
c
1
S
c
2
S
c
3
S
c
4
1
3
0
0
X
X
X
X
0
1
1
0
0
1
1
0
0
1
1
0
0
1
2
2
0
0
X
X
0
1
1
0
1
0
0
1
1
0
0
1
1
0
0
1
3
1
0
0
0
1
1
0
X
X
1
0
0
1
1
0
0
1
1
0
0
1
4
0
1
0
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
5
-
1
0
0
0
1
1
0
X
X
0
1
1
0
0
1
1
0
0
1
1
0
6
-
2
0
0
X
X
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
0
7
-
3
0
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4.
VO
L
T
AG
E
S
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L
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CT
I
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A
L
G
O
RIT
H
M
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r
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t
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p
r
o
p
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e
d
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it
u
s
i
n
g
M
I
,
M
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,
a
n
d
H
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b
r
i
d
g
e
c
i
r
c
u
it
s
a
r
e
p
r
es
e
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te
d
.
A
n
e
w
t
o
p
o
l
o
g
y
c
a
l
l
e
d
V
S
A
is
f
o
u
n
d
t
o
s
i
m
p
l
i
f
y
t
h
e
o
v
e
r
a
l
l
o
p
e
r
a
t
io
n
.
I
n
t
h
i
s
a
l
g
o
r
i
t
h
m
,
t
h
e
v
o
l
t
a
g
e
i
s
c
l
as
s
i
f
i
e
d
i
n
to
g
r
o
u
p
s
w
i
t
h
t
h
r
e
e
d
i
f
f
e
r
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n
t
v
o
lt
a
g
e
s
.
I
n
o
u
r
e
x
a
m
p
l
e
o
f
7
L
HM
I
M
C
,
t
h
r
e
e
d
i
f
f
e
r
e
n
t
V
S
g
r
o
u
p
s
(
VS
1
,
VS
2
,
a
n
d
V
S
3
)
a
r
e
n
e
e
d
e
d
,
a
s
s
h
o
w
n
in
T
a
b
l
e
2
.
E
a
c
h
g
r
o
u
p
h
a
s
th
r
e
e
d
i
f
f
e
r
e
n
t
v
o
l
t
a
g
es
.
VS
1
h
a
s
3
0
0
,
-
1
0
0
,
a
n
d
-
1
0
0
V
;
V
S
2
h
a
s
2
0
0
,
-
2
0
0
,
a
n
d
0
V
;
a
n
d
V
S
3
h
a
s
1
0
0
,
-
3
0
0
,
a
n
d
1
0
0
V
.
S
M
C
1
i
s
t
h
e
f
i
r
s
t
in
p
u
t
o
f
t
h
e
M
C
a
n
d
r
e
c
e
i
v
e
d
v
o
l
t
a
g
es
f
r
o
m
M
I
e
i
t
h
e
r
2
0
0
o
r
3
0
0
i
n
p
o
s
i
ti
v
e
a
n
d
ei
th
e
r
-
2
0
0
V
o
r
-
3
0
0
V
i
n
n
e
g
at
i
v
e
a
f
t
e
r
i
n
c
l
u
d
e
d
t
h
e
H
-
b
r
i
d
g
e
a
f
f
e
c
t
i
o
n
s
.
S
i
m
i
l
a
r
l
y
,
S
MC
2
r
e
c
e
i
v
e
d
v
o
l
t
a
g
es
o
f
±
1
0
0
V
o
r
±
2
0
0
V
,
a
n
d
S
M
C
3
e
ith
e
r
0
V
o
r
±
1
0
0
V
.
Fo
r
ex
am
p
le,
if
a
h
alf
p
er
io
d
s
eq
u
en
ce
o
f
p
h
ase
A
is
n
ee
d
ed
to
g
en
er
ate
f
r
o
m
3
0
0
V
to
-
3
0
0
V,
th
en
th
e
3
0
0
V
an
d
2
0
0
V
ar
e
s
elec
ted
f
r
o
m
VS1
an
d
VS2
,
r
esp
e
ctiv
ely
,
b
y
co
n
n
ec
tin
g
SMC
1
an
d
SMC
2
to
p
h
ase
A
r
esp
ec
tiv
ely
.
T
h
en
,
SMC
3
is
co
n
n
ec
ted
to
p
h
ase
A,
an
d
th
e
f
o
llo
win
g
v
o
ltag
es
ar
e
g
en
er
ated
;
1
0
0
,
0
an
d
-
1
0
0
V
f
r
o
m
VS3
,
VS2
,
a
n
d
VS1
.
L
astl
y
,
-
200
V
a
n
d
-
3
0
0
V
ar
e
g
en
er
ate
d
wh
e
n
p
h
as
e
A
is
co
n
n
ec
ted
to
SMC
2
an
d
SMC
1
r
esp
ec
tiv
ely
,
as sh
o
wn
in
Fig
u
r
e
3
.
T
ab
le
2
.
Vo
ltag
e
s
elec
tio
n
al
g
o
r
ith
m
g
r
o
u
p
s
V
S
g
r
o
u
p
s
V
o
l
t
a
g
e
v
a
l
u
e
s (V
)
S
M
C1
S
M
C2
S
M
C3
V
S
1
±
3
0
0
±
1
0
0
±
1
0
0
V
S
2
±
2
0
0
±
2
0
0
0
V
S
3
±2
00
±
3
0
0
±
1
0
0
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
C
o
mb
in
a
tio
n
circu
it o
f m
u
ltil
ev
el
in
ve
r
ter,
ma
tr
ix
co
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ve
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ter
a
n
d
H
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r
id
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e
(
A
kra
m
Mo
h
a
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d
Al
-
Ma
h
r
o
u
k
)
2479
3
0
0
-
1
0
0
-
1
0
0
2
0
0
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2
0
0
0
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3
0
0
1
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0
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V
S
1
V
S
2
V
S
3
V
M
C
1
V
M
C
2
V
M
C
3
P
has
e
A
P
a
t
h
Fig
u
r
e
3
.
Op
e
r
atio
n
p
ath
o
f
th
e
h
alf
cy
cle
W
h
en
VS1
is
u
s
ed
to
g
en
e
r
ate
3
0
0
V
to
p
h
ase
A,
p
h
ase
B
a
n
d
p
h
ase
C
h
av
e
-
1
0
0
V
g
en
e
r
ated
f
r
o
m
th
e
s
am
e
VS
g
r
o
u
p
.
I
n
ad
d
itio
n
,
w
h
en
p
h
ase
A
u
s
es
2
0
0
V,
p
h
ase
B
h
as
-
2
0
0
V,
an
d
p
h
ase
C
h
as
0
V.
C
o
n
s
eq
u
en
tly
,
th
e
o
p
er
atio
n
o
f
th
e
VS
is
eith
er
f
o
r
war
d
(
VS
f
)
f
r
o
m
VS1
to
VS3
o
r
b
ac
k
wa
r
d
(
VSb
)
f
r
o
m
VS3
to
VS1
.
T
h
e
(
2
)
an
d
(
3
)
p
r
esen
ts
th
e
ab
o
v
e
p
r
o
ce
s
s
.
=
[
VS1
VS2
3
]
=
[
1
0
0
0
1
0
0
0
1
]
(
2
)
=
[
VS1
VS2
VS3
]
=
[
0
0
1
0
1
0
1
0
0
]
(
3
)
T
h
e
o
p
e
r
atio
n
o
f
VS
g
r
o
u
p
s
s
h
o
u
ld
b
e
s
y
n
ch
r
o
n
ized
with
th
e
MC
o
p
er
atio
n
.
T
h
e
MC
h
as
s
ix
d
if
f
e
r
en
t
s
tate
-
m
atr
ix
m
o
o
d
s
(
M)
k
n
o
wn
as M
1
,
M2
,
M
3
,
M4
,
M
5
,
an
d
M6
as sh
o
wn
in
(
4
)
-
(
9
)
.
1
=
[
0
0
1
0
1
0
1
0
0
]
(
4
)
2
=
[
1
0
0
0
1
0
0
0
1
]
(
5
)
3
=
[
1
0
0
0
0
1
0
1
0
]
(
6
)
4
=
[
0
0
1
1
0
0
0
1
0
]
(
7
)
5
=
[
0
1
0
1
0
0
0
0
1
]
(
8
)
6
=
[
0
1
0
0
0
1
1
0
0
]
(
9
)
W
h
er
e
1
m
ea
n
s
th
e
s
witch
is
tu
r
n
ed
o
n
a
n
d
0
is
tu
r
n
ed
o
f
f
.
T
o
s
u
m
m
ar
ize
th
e
o
p
er
atio
n
o
f
HM
I
MC,
Fig
u
r
e
4
.
Sh
o
ws
th
e
o
v
er
all
o
p
er
atio
n
o
f
th
e
HM
I
MC
f
lo
w
p
r
o
ce
s
s
.
T
h
e
in
p
u
t
v
o
ltag
es
o
f
MC
(
SMC
1
,
SMC
2
,
SMC
3
)
ar
e
c
h
an
g
e
d
b
y
ea
ch
s
tep
.
At
ea
ch
s
tep
o
n
e
VS
g
r
o
u
p
s
is
s
elec
ted
(
VS1
,
VS2
,
VS3
)
.
T
h
e
MC
h
as
s
ix
d
if
f
er
en
t
s
tate
-
m
atr
ix
m
o
o
d
s
(
M1
,
M2
,
M3
,
M4
,
M5
,
M6
)
s
y
n
c
h
r
o
n
ize
d
with
th
e
v
o
ltag
e
s
elec
tio
n
g
r
o
u
p
s
to
g
en
e
r
ate
th
e
th
r
ee
p
h
ase
o
u
tp
u
t
v
o
ltag
es.
T
h
e
m
ain
ad
v
an
tag
e
o
f
u
s
in
g
th
e
VS
alg
o
r
ith
m
is
it
ca
n
m
ak
e
th
e
o
p
e
r
atio
n
o
f
th
e
M
I
,
MC
,
an
d
H
-
b
r
id
g
e
s
tep
s
u
n
if
o
r
m
.
T
h
e
VS
alg
o
r
ith
m
ca
n
b
e
o
p
tim
ized
b
y
u
s
in
g
an
o
th
e
r
co
m
m
o
n
p
er
v
io
u
s
o
p
er
atio
n
tech
n
iq
u
e,
w
h
ich
is
p
r
esen
ted
b
ef
o
r
e.
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.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2476
-
2
4
9
0
2480
Fig
u
r
e
4
.
Ov
e
r
all
o
p
er
atio
n
o
f
HM
I
MC
5.
G
E
NE
R
AL
F
O
R
M
O
F
H
M
I
M
C
T
h
e
g
en
er
al
f
o
r
m
o
f
HM
I
MC
to
g
en
er
ate
h
ig
h
e
r
n
u
m
b
er
o
f
v
o
ltag
e
lev
el
is
p
r
esen
ted
in
th
is
s
ec
t
io
n
.
As p
r
ev
io
u
s
ly
illu
s
tr
ated
,
HM
I
MC h
as th
r
ee
m
ain
s
tep
s
; M
I
,
MC,
an
d
H
-
b
r
id
g
e
cir
cu
it.
I
n
th
e
g
en
er
al
f
o
r
m
o
f
HM
I
MC,
th
e
n
u
m
b
er
o
f
s
witch
es
o
f
th
e
MC
an
d
H
-
b
r
id
g
e
ci
r
cu
it
is
n
o
t
in
cr
ea
s
ed
;
MC
u
s
es
n
in
e
s
witch
es,
an
d
th
e
H
-
b
r
id
g
e
ci
r
cu
it
u
s
es
twelv
e
s
witch
es.
T
h
e
MI
s
tep
v
ar
ies
wh
en
th
e
n
u
m
b
er
o
f
HM
I
MC
lev
el
v
ar
ies;
th
e
r
elatio
n
o
f
t
h
e
n
u
m
b
er
o
f
lev
el
s
o
f
HM
I
MC a
n
d
th
e
n
u
m
b
e
r
s
witch
es o
f
MI
s
tep
s
is
s
h
o
wn
in
T
ab
le
3
.
T
h
e
MI
,
MC,
an
d
H
-
b
r
i
d
g
e
cir
cu
its
u
s
e
th
e
co
m
m
o
n
I
GB
T
s
witch
.
T
h
e
I
GB
T
s
witch
ca
n
b
e
class
if
ied
in
to
u
n
id
ir
ec
tio
n
al
(
UDS)
an
d
b
id
ir
ec
tio
n
al
(
B
DS)
s
witch
.
UDSs
u
s
e
a
s
in
g
le
s
wi
tch
,
wh
er
ea
s
B
DS
s
u
s
e
two
co
n
n
ec
ted
UDSs
,
as sh
o
wn
in
Fig
u
r
e
5
.
A
co
m
m
o
n
-
e
m
itter
B
DS i
s
s
h
o
wn
in
Fig
u
r
e
5
(
a)
,
a
co
m
m
o
n
-
co
llecto
r
B
DS
is
s
h
o
wn
in
Fig
u
r
e
5
(
b
)
,
an
d
a
r
ev
er
s
e
UDS
is
s
h
o
wn
i
n
Fig
u
r
e
5
(
c)
u
s
ed
two
UDS.
I
f
th
e
d
io
d
e
b
r
i
d
g
e
B
DS i
s
u
s
ed
,
o
n
ly
a
s
in
g
le
UD
S is
u
s
ed
,
as sh
o
wn
in
Fig
u
r
e
5
(
d
)
.
S
M
C
3
±
3
0
0
V
±
2
0
0
V
0V
00
3
V
2
0
0
V
1
0
0
V
0V
-
1
0
0
V
-
2
0
0
V
-
3
0
0
V
00
3
V
2
0
0
V
1
0
0
V
0V
-
1
0
0
V
-
2
0
0
V
-
3
0
0
V
P
h
a
se
A
P
h
a
se
B
S
M
C
1
S
M
C
3
M
P
ha
s
e
A
P
ha
s
e
C
P
ha
s
e
B
0
2
0
0
-
2
0
0
1
0
0
1
0
0
-
3
0
0
2
0
0
0
-
2
0
0
3
0
0
-
1
0
0
-
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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
C
o
mb
in
a
tio
n
circu
it o
f m
u
ltil
ev
el
in
ve
r
ter,
ma
tr
ix
co
n
ve
r
ter
a
n
d
H
-
b
r
id
g
e
(
A
kra
m
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h
a
mme
d
Al
-
Ma
h
r
o
u
k
)
2481
T
ab
le
3
.
E
q
u
atio
n
o
f
th
e
HM
I
MC c
o
m
p
o
n
en
t c
o
u
n
t
H
M
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C
N
o
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o
f
sw
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t
c
h
e
s
S
w
i
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c
h
t
y
p
e
MI
3
(
(
−
1
6
)
+
1
)
#
U
n
i
d
i
r
e
c
t
i
o
n
a
l
sw
i
t
c
h
MC
9
#
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d
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c
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sw
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c
h
H
-
b
r
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12
#
U
n
i
d
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r
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c
t
i
o
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a
l
sw
i
t
c
h
(
a
)
(
b
)
(
d
)
(
c
)
(
a)
(
b
)
(
c)
(
d
)
Fig
u
r
e
5
.
T
y
p
es o
f
b
id
ir
ec
tio
n
al
s
witch
u
s
in
g
I
GB
T
[
4
0
]
:
(
a
)
co
m
m
o
n
-
em
itter
B
DS,
(
b
)
co
m
m
o
n
-
co
llecto
r
B
DS,
(
c
)
r
ev
er
s
e
UDS
,
an
d
(
d
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d
io
d
e
b
r
id
g
e
B
DS
6.
RE
SU
L
T
S
MA
T
L
AB
Simu
lin
k
is
u
s
ed
t
o
v
alid
ate
th
e
p
r
o
p
o
s
ed
HM
I
MC
cir
cu
it
d
esig
n
o
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ated
b
y
th
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VSA
o
p
er
atio
n
.
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n
th
e
Simscap
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p
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y
s
tem
s
to
o
lb
o
x
lib
r
ar
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t
h
e
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GB
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with
f
r
ee
wh
ee
lin
g
d
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v
o
ltag
e
p
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r
s
u
p
p
ly
,
a
n
d
lo
a
d
is
s
elec
ted
.
T
h
e
I
GB
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s
witch
h
as
two
o
p
e
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a
tio
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m
o
d
e:
tu
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o
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th
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g
ate
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as
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f
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r
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s
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it
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h
e
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(
I
R
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0
PF
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is
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s
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d
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n
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d
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in
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h
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s
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ate
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n
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r
d
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in
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g
a
u
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es
a
B
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3
3
7
tr
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s
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ate
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ea
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r
r
en
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o
ll
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as sh
o
wn
in
Fig
u
r
e
s
6
an
d
7
.
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h
e
p
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o
p
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s
ed
VSA
o
p
er
atio
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u
s
ed
b
y
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im
u
latio
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d
p
r
ac
tice.
MI
o
p
er
atio
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s
h
a
v
e
d
if
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en
t
ty
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as
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ly
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d
.
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h
e
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is
u
s
ed
to
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im
p
lify
th
e
p
r
ev
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o
u
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ty
p
e
o
f
o
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er
atio
n
wh
en
ac
tin
g
in
t
h
e
HM
I
MC
d
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n
.
I
n
th
is
s
tu
d
y
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th
e
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in
v
o
lv
ed
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t
h
e
E
P
o
p
er
atio
n
is
p
r
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ted
.
A
f
ter
war
d
,
th
e
VSA
in
v
o
lv
ed
b
y
NL
C
is
p
r
esen
ted
in
th
e
s
u
b
s
eq
u
en
t
s
ec
tio
n
.
Fig
u
r
e
6.
Sch
em
atic
o
f
th
e
I
GB
T
co
n
tr
o
lled
b
y
Ar
d
u
in
o
Me
g
a
Fig
u
r
e
7.
Pra
ctica
l
im
p
lem
e
n
tatio
n
o
f
7
L
HM
I
MC
6
.
1
.
E
qu
a
l
p
ha
s
e
wit
h
v
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a
g
e
s
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t
io
n
a
lg
o
rit
hm
I
n
th
e
E
P m
eth
o
d
,
th
e
s
in
g
le
p
er
io
d
is
d
iv
id
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e
q
u
ally
in
t
o
th
e
av
ailab
le
n
u
m
b
er
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f
lev
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an
d
th
en
it
g
en
er
ates
a
tr
ian
g
u
lar
o
u
tp
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t
v
o
ltag
e
s
ig
n
al,
as
s
h
o
wn
in
Fig
u
r
e
8
.
T
h
r
ee
v
o
ltag
e
s
o
u
r
ce
s
ar
e
u
s
ed
;
ea
c
h
o
n
e
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.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2476
-
2
4
9
0
2482
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as
1
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a
t
5
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z
.
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f
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r
w
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h
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h
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(
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u
r
e
8
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ltag
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o
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tp
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t sig
n
a
l o
f
7
L
HM
I
MC
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u
r
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9
.
C
u
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n
t o
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t
p
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t sig
n
a
l o
f
7
L
HM
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MC
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.
2
.
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re
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t
h
v
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s
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witch
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g
f
r
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o
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e
in
cr
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;
in
th
is
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y
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s
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tch
in
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eq
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es,
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at
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,
f
r
o
m
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wh
ic
h
is
s
till
class
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ied
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,
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t
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m
es
wh
en
th
e
er
r
o
r
o
f
p
u
r
e
s
in
e
wav
e
v
o
ltag
e
is
co
m
p
ar
ed
with
p
r
o
p
o
s
ed
o
u
tp
u
t
v
o
ltag
e
s
ig
n
al.
Ho
wev
er
,
as
k
n
o
wn
t
h
e
s
lo
p
e
o
f
p
u
r
e
s
in
u
s
o
id
al
at
ze
r
o
is
h
ig
h
er
th
a
n
th
e
s
lo
p
e
at
p
e
ak
v
o
ltag
e.
I
n
cr
ea
s
e
th
e
s
lo
p
e
v
alu
e,
ca
u
s
ed
to
d
ec
r
ea
s
e
th
e
tim
e
d
elay
d
ep
en
d
s
o
n
th
e
n
u
m
b
e
r
o
f
lev
els an
d
lev
els
v
alu
e.
At
3
5
0
Hz,
th
e
s
am
e
v
o
ltag
e
lev
el
(
7
L
)
an
d
s
am
e
v
o
ltag
e
v
alu
e
o
f
5
0
Hz
ar
e
u
s
ed
,
th
e
s
am
p
le
tim
e
(
ST)
v
ar
ies
d
e
p
en
d
in
g
o
n
th
e
v
o
ltag
e
v
al
u
e.
T
h
e
s
am
p
le
ti
m
e
an
d
v
o
ltag
e
v
alu
e
a
r
e
f
o
u
n
d
u
s
in
g
MA
T
L
AB
Simu
lin
k
,
as
s
h
o
wn
in
Fig
u
r
e
1
0
.
T
h
e
ST
o
f
3
0
0
V
is
1
5
ST;
at
2
0
0
V,
it
is
7
ST;
at
1
0
0
V
it
is
4
ST;
an
d
at
0
V
it
is
5
ST.
T
h
e
ST
o
f
0
V
is
h
ig
h
er
th
an
1
0
V
b
ec
au
s
e
th
e
0
V
ST
is
u
s
ed
in
p
o
s
itiv
e
an
d
n
eg
ativ
e
tim
e.
I
n
o
n
e
p
er
io
d
,
o
n
l
y
two
STs
o
f
0
V
ar
e
u
s
ed
,
to
tally
1
0
ST
is
u
s
e
d
.
On
th
e
o
t
h
er
h
an
d
,
th
e
ST
o
f
1
0
V
is
u
s
ed
f
o
u
r
tim
e:
two
in
p
o
s
itiv
e
an
d
two
in
n
eg
ativ
e.
Ov
er
all,
1
6
ST
is
u
s
ed
f
o
r
1
0
V,
w
h
ich
is
h
i
g
h
e
r
th
an
0
V.
On
t
h
is
b
asis
,
th
e
n
u
m
b
er
o
f
STs a
t o
n
e
p
er
io
d
is
8
4
ST.
T
h
e
3
0
0
V
ST
is
u
s
ed
two
tim
es
in
o
n
e
p
er
io
d
,
o
n
ce
in
p
o
s
itiv
e
an
o
th
er
in
n
e
g
ativ
e.
T
h
e
t
h
r
ee
-
p
h
ase
o
p
er
atio
n
o
f
7
L
HM
I
MC
u
s
in
g
NL
C
an
d
VSA
is
s
h
o
wn
in
T
ab
le
4
,
wh
er
e
ea
ch
p
h
ase
is
s
h
if
ted
b
y
2
8
ST.
T
h
e
s
tate
m
atr
ix
o
f
VSA
u
s
in
g
N
L
C
is
d
if
f
er
en
t
f
r
o
m
VSA
u
s
i
n
g
E
P;
h
er
e
in
s
o
m
e
s
tep
s
,
tw
o
o
u
tp
u
t
p
h
ases
ar
e
p
o
wer
ed
b
y
a
s
in
g
le
v
o
ltag
e
s
o
u
r
ce
.
T
h
is
ca
s
e
is
ac
ce
p
ted
wh
er
e
n
o
s
h
o
r
t
cir
cu
it
h
as
h
a
p
p
en
ed
,
th
e
n
ew
s
ix
s
tate
-
m
atr
ix
ar
e
u
s
ed
as
(
1
0
)
-
(
1
5
)
.
7
=
[
1
1
0
0
0
0
0
0
1
]
(
1
0
)
8
=
[
1
0
1
0
0
0
0
1
0
]
(
1
1
)
9
=
[
0
1
1
0
0
0
1
0
0
]
(
1
2
)
10
=
[
0
0
1
1
1
0
0
0
0
]
(
1
3
)
11
=
[
0
1
0
1
0
1
0
0
0
]
(
1
4
)
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
C
o
mb
in
a
tio
n
circu
it o
f m
u
ltil
ev
el
in
ve
r
ter,
ma
tr
ix
co
n
ve
r
ter
a
n
d
H
-
b
r
id
g
e
(
A
kra
m
Mo
h
a
mme
d
Al
-
Ma
h
r
o
u
k
)
2483
12
=
[
1
0
0
0
1
1
0
0
0
]
(
1
5
)
T
h
e
8
4
ST
o
f
VSA
u
s
in
g
NL
C
is
s
h
o
wn
in
T
ab
le
4
,
an
d
ea
ch
s
tep
th
e
n
u
m
b
er
o
f
s
tep
an
d
th
e
v
alu
e
o
f
th
e
o
u
tp
u
t
v
o
ltag
e
o
f
t
h
r
ee
-
p
h
ase
is
p
r
esen
ted
.
T
h
e
s
tate
-
m
atr
ix
(
M)
is
also
in
clu
d
ed
.
T
h
e
s
am
e
co
lo
r
o
f
o
p
er
atio
n
in
Fig
u
r
e
9
is
u
s
ed
in
T
ab
le
4
.
T
h
e
o
u
tp
u
t v
o
ltag
e
o
f
VSA
u
s
in
g
NL
C
is
p
r
esen
t
ed
in
Fig
u
r
e
1
1
.
An
o
u
tp
u
t
v
o
ltag
e
th
at
is
m
o
r
e
s
in
u
s
o
id
al
will
th
at
d
ec
r
ea
s
e
th
e
T
HD.
T
h
e
o
u
tp
u
t
cu
r
r
en
t
o
f
7
L
HM
I
MC
u
s
in
g
VSA
an
d
NL
C
is
p
r
esen
ted
in
Fig
u
r
e
1
2
,
wh
er
e
th
e
l
o
ad
is
R
eq
u
al
to
1
0
0
o
h
m
s
.
Fig
u
r
e
1
0
.
Sam
p
le
tim
e
o
f
7
L
HM
I
MC u
s
in
g
th
e
VSA
an
d
NL
C
Fig
u
r
e
1
1
.
Ou
tp
u
t
v
o
ltag
e
o
f
7
L
HM
I
MC NL
C
F
i
g
u
r
e
2
1
.
O
u
t
p
u
t
c
u
r
r
e
n
t
o
f
7
L
H
M
I
M
C
u
s
i
n
g
N
L
C
T
ab
le
4
.
Gen
e
r
atin
g
th
e
v
alu
es o
f
NL
C
an
d
VSA
o
f
o
n
e
p
er
i
o
d
S
t
e
p
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
P
h
a
se
A
0
0
0
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1
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h
a
se
B
-
2
0
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0
0
-
3
0
0
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3
0
0
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3
0
0
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h
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se
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3
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M
5
5
9
6
6
6
6
6
6
11
1
1
1
1
1
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7
2
2
2
2
S
t
e
p
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
P
h
a
se
A
3
0
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0
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M
2
2
12
3
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4
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10
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5
S
t
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p
43
44
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53
54
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56
57
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59
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62
63
P
h
a
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0
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h
a
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P
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12
3
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8
4
4
4
4
4
4
10
5
5
5
5
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.
16
,
No
.
4
,
Dec
em
b
er
20
25
:
2476
-
2
4
9
0
2484
7.
CASE
S
T
UD
Y
Fu
r
th
er
s
tu
d
y
is
co
n
d
u
cted
o
n
th
e
p
r
o
p
o
s
ed
cir
cu
it
HM
I
MC.
T
h
is
p
ap
er
in
tr
o
d
u
ce
s
th
r
ee
ad
d
itio
n
al
ex
p
er
im
en
ts
;
u
p
g
r
ad
e
th
e
HM
I
MC
to
th
ir
teen
-
lev
els
(
1
3
L
)
lev
els,
u
s
e
VSA
,
an
d
NL
C
o
n
1
3
L
HM
I
MC,
ch
an
g
in
g
lo
ad
p
ar
am
eter
,
an
d
T
HD
r
esu
lts
.
7
.
1
.
Upg
ra
de
t
he
nu
m
ber
o
f
lev
els
A
s
o
t
h
e
r
m
u
lt
i
le
v
e
l
i
n
v
e
r
te
r
t
o
p
o
l
o
g
y
,
t
h
e
p
r
o
p
o
s
e
d
H
M
I
MC
le
v
e
l
s
ca
n
b
e
i
n
c
r
e
as
e
d
.
A
1
3
L
H
M
I
MC
is
p
r
e
p
a
r
e
d
w
h
e
r
e
o
n
l
y
t
h
e
p
o
s
i
t
iv
e
M
I
s
h
o
u
l
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