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I
SS
N:
2252
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8792
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:
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[
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Naj
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[
6
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2252
-
8792
IJ
A
P
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Vo
l.
7
,
No
.
1
,
A
p
r
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0
1
8
:
27
–
39
28
ev
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ted
a
n
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d
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g
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B
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[
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1
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Su
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1
3
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p
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4
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i
n
g
s
p
ac
e
v
ec
to
r
m
o
d
u
l
at
io
n
.
Gu
p
ta
an
d
J
ain
[
1
5
]
m
ad
e
a
to
p
o
lo
g
y
f
o
r
m
u
ltil
e
v
el
in
v
er
ter
s
to
attain
m
a
x
i
m
u
m
n
u
m
b
er
o
f
le
v
els
f
r
o
m
g
iv
e
n
DC
s
o
u
r
ce
s
.
L
a
k
s
h
m
i
Ga
n
e
s
h
an
d
C
h
a
n
d
r
a
R
ao
[
1
6
]
d
is
cu
s
s
ed
th
e
p
er
f
o
r
m
an
ce
o
f
s
y
m
m
e
tr
ical
a
n
d
as
y
m
m
et
r
ical
m
u
ltil
e
v
el
in
v
er
ter
s
.
E
b
r
ah
i
m
i
et
al
[
1
7
]
in
tr
o
d
u
ce
d
a
n
e
w
to
p
o
lo
g
y
o
f
ca
s
ca
d
ed
m
u
ltil
e
v
el
co
n
v
er
ter
s
w
i
th
r
ed
u
ce
d
n
u
m
b
er
o
f
s
w
it
ch
co
u
n
t
f
o
r
h
ig
h
-
v
o
ltag
e
ap
p
licatio
n
s
.
C
ab
aller
o
et
al
[
1
8
]
s
u
g
g
e
s
ted
a
s
y
m
m
e
tr
ical
h
y
b
r
id
m
u
lti
lev
el
in
v
er
t
er
co
n
ce
p
t
b
ased
o
n
m
u
lti
-
s
ta
te
s
w
itc
h
i
n
g
ce
ll
s
.
Su
r
o
s
o
a
n
d
T
o
s
h
ih
i
k
o
No
g
u
c
h
i
[
1
9
]
in
tr
o
d
u
ce
d
a
m
u
ltil
e
v
e
l
v
o
lta
g
e
-
s
o
u
r
ce
in
v
er
ter
u
s
i
n
g
h
-
b
r
id
g
e
an
d
t
w
o
-
lev
el
p
o
w
er
m
o
d
u
les
w
it
h
a
s
i
n
g
le
p
o
w
er
s
o
u
r
ce
.
B
ala
m
u
r
u
g
an
[
2
0
]
m
ad
e
a
co
m
p
ar
is
io
n
b
et
w
ee
n
s
i
m
u
latio
n
an
d
d
SP
A
C
E
b
ased
i
m
p
le
m
en
tatio
n
o
f
v
ar
io
u
s
P
W
M
s
tr
ate
g
ies
f
o
r
a
n
e
w
H
-
t
y
p
e
FC
M
L
I
to
p
o
lo
g
y
.
B
ala
m
u
r
u
g
a
n
[
2
1
]
in
tr
o
d
u
ce
d
a
n
in
e
le
v
el
ca
s
ca
d
ed
m
u
lti
l
ev
el
in
v
er
ter
u
s
in
g
e
m
b
ed
d
ed
an
d
f
lip
f
lo
p
s
.
T
h
e
ab
o
v
e
p
ap
er
s
m
ad
e
a
d
ee
p
liter
atu
r
e
s
u
r
e
v
y
o
n
v
ar
io
u
s
m
u
lti
lev
el
i
n
v
er
eter
s
a
n
d
its
to
p
o
lo
g
ies.
2.
T
E
R
NARY
I
NVE
RT
ER
F
ig
u
r
e
1
s
h
o
w
s
a
cir
cu
it
co
n
f
i
g
u
r
atio
n
o
f
a
ca
s
ca
d
ed
H
-
b
r
id
g
e
m
u
lt
ilev
e
l
in
v
er
ter
e
m
p
lo
y
i
n
g
tr
i
n
ar
y
d
c
in
p
u
t
s
o
u
r
ce
.
I
t
lo
o
k
s
li
k
e
a
tr
ad
itio
n
al
ca
s
ca
d
ed
H
-
b
r
id
g
e
m
u
ltil
e
v
el
in
v
er
ter
ex
ce
p
t
in
p
u
t
d
c
s
o
u
r
ce
s
.
B
y
u
s
i
n
g
Vd
c
a
n
d
3
Vd
c,
it
ca
n
s
y
n
t
h
esize
f
i
v
e
o
u
tp
u
t
le
v
els;
-
3
Vd
c,
-
Vd
c,
0
,
Vd
c,
3
Vd
c.
T
h
e
lo
w
er
in
v
er
ter
g
en
er
ate
s
a
f
u
n
d
a
m
en
tal
o
u
tp
u
t
v
o
ltag
e
w
it
h
t
h
r
ee
le
v
els,
a
n
d
th
e
n
th
e
u
p
p
er
in
v
er
ter
ad
d
s
o
r
s
u
b
tr
ac
ts
o
n
e
lev
el
f
r
o
m
t
h
e
f
u
n
d
a
m
en
ta
l
wav
e
to
s
y
n
t
h
es
ize
s
tep
p
ed
w
a
v
es.
Her
e,
t
h
e
f
i
n
al
o
u
tp
u
t
v
o
lt
ag
e
le
v
els
b
ec
o
m
e
s
th
e
s
u
m
o
f
ea
ch
ter
m
i
n
al
v
o
lta
g
e
o
f
H
-
b
r
id
g
e,
an
d
it is
g
iv
e
n
as
V
out
=
V
HB1
+ V
HB2
(
1
)
T
ab
le
1
an
d
2
s
h
o
w
s
t
h
e
d
if
f
er
en
t
s
w
i
tch
i
n
g
s
tates
f
o
r
th
e
ter
n
ar
y
i
n
v
er
ter
an
d
co
m
p
ar
i
s
o
n
b
et
w
ee
n
s
y
m
m
etr
ical
a
n
d
as
y
m
m
etr
ica
l
in
v
er
ter
s
.
I
n
th
e
p
r
o
p
o
s
ed
cir
cu
it
to
p
o
lo
g
y
,
i
f
n
n
u
m
b
er
o
f
H
-
b
r
id
g
e
m
o
d
u
l
e
h
as i
n
d
ep
en
d
en
t D
C
s
o
u
r
ce
s
i
n
s
eq
u
e
n
ce
o
f
t
h
e
p
o
w
er
o
f
3
,
an
ex
p
ec
ted
o
u
tp
u
t
v
o
lta
g
e
lev
el
is
g
i
v
e
n
as
V
n
=
3
n
, n
=
1
,
2
,
3
(
2
)
T
ab
le
1
.
Sw
itch
in
g
State
s
f
o
r
T
er
n
ar
y
Ou
tp
u
t
V
ou
t
S
11
S
12
S
13
S
14
S
21
S
22
S
23
S
24
4V
dc
1
0
0
1
1
0
0
1
3V
dc
0
1
0
1
1
0
0
1
2V
dc
0
1
1
0
1
0
0
1
V
dc
1
0
0
1
0
1
0
1
0
0
1
0
1
0
1
0
1
-
V
dc
0
1
1
0
0
1
0
1
-
2V
dc
1
0
0
1
0
1
1
0
-
3V
dc
0
1
0
1
0
1
1
0
-
4V
dc
0
1
1
0
0
1
1
0
T
ab
le
2
.
C
o
m
p
ar
is
o
n
b
et
w
ee
n
S
y
m
m
etr
ical
an
d
A
s
y
m
m
etr
ic
al
I
n
v
er
ter
s
C
o
mp
a
r
i
so
n
S
y
mm
e
t
r
i
c
a
l
i
n
v
e
r
t
e
r
A
s
y
mm
e
t
r
i
c
a
l
i
n
v
e
r
t
e
r
B
i
n
a
r
y
T
e
r
n
a
r
y
L
e
v
e
l
s
2
N
+
1
2
N
+
1
-
1
3
N
D
C
so
u
r
c
e
s
N
N
N
S
w
i
t
c
h
e
s
4N
4N
4N
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
2252
-
8792
A
n
a
lysi
s
o
f V
a
r
io
u
s
C
a
r
r
ier
s
Ove
r
la
p
p
in
g
P
W
M S
tr
a
teg
ies
fo
r
a
S
in
g
le
P
h
a
s
e
…
(
C.
R.
B
a
la
mu
r
u
g
a
n
)
29
Fig
u
r
e
1
.
P
o
w
er
cir
cu
it
f
o
r
s
i
n
g
le
p
h
ase
n
i
n
e
lev
e
l c
ascad
ed
m
u
ltil
e
v
el
i
n
v
er
te
r
Fig
u
r
e
2
.
Sa
m
p
le
P
W
M
g
en
er
atio
n
lo
g
ic
m
o
d
el
d
ev
e
lo
p
ed
u
s
in
g
SIM
U
L
I
NK
f
o
r
C
OP
W
M
-
A
tec
h
n
iq
u
e
Fig
u
r
e
3
.
P
W
M
s
ig
n
al
p
atter
n
f
o
r
v
ar
io
u
s
s
w
itc
h
es
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
E
Vo
l.
7
,
No
.
1
,
A
p
r
il 2
0
1
8
:
27
–
39
30
3.
M
O
DULAT
I
O
N
ST
RAT
E
G
I
E
S
Sev
er
al
C
FD
s
ex
i
s
t
i
n
m
u
lti
-
c
ar
r
ier
PW
M
s
tr
ateg
ies
f
o
r
M
L
I
s
.
T
h
ese
s
tr
ateg
ie
s
h
av
e
m
o
r
e
th
a
n
o
n
e
ca
r
r
ier
o
p
tio
n
th
at
ca
n
b
e
tr
ian
g
u
lar
,
s
a
w
to
o
th
,
a
n
e
w
f
u
n
cti
o
n
etc.
A
s
f
ar
as
t
h
e
p
ar
ticu
lar
ca
r
r
ier
s
ig
n
als
ar
e
co
n
ce
r
n
ed
,
th
er
e
ar
e
m
u
ltip
le
C
FD
s
i
n
clu
d
i
n
g
f
u
n
ctio
n
,
f
r
eq
u
en
c
y
,
a
m
p
lit
u
d
e,
p
h
ase
o
f
ea
ch
ca
r
r
ier
an
d
o
f
f
s
et
b
et
w
ee
n
ca
r
r
ier
s
.
A
lt
h
o
u
g
h
m
u
ltil
e
v
el
i
n
v
er
ter
o
f
f
er
s
s
e
v
er
al
ad
v
an
ta
g
es,
t
h
e
co
n
tr
o
l
s
tr
ateg
ies
o
f
M
L
I
ar
e
q
u
ite
ch
a
llen
g
i
n
g
d
u
e
to
t
h
e
co
m
p
le
x
it
y
to
ca
ter
t
h
e
tr
an
s
itio
n
s
b
et
w
ee
n
t
h
e
v
o
ltag
e
le
v
els
(
o
r
s
tep
s
)
.
A
n
u
m
b
er
o
f
m
o
d
u
latio
n
s
tr
ate
g
ies
ar
e
u
s
ed
in
m
u
lti
lev
el
p
o
w
er
co
n
v
er
s
io
n
ap
p
licatio
n
s
.
I
n
th
i
s
p
r
o
p
o
s
ed
to
p
o
lo
g
y
t
w
o
m
et
h
o
d
s
ar
e
u
s
e
d
.
1.
E
q
u
al
a
m
p
lit
u
d
e
ca
r
r
ier
s
2.
Un
eq
u
al
a
m
p
lit
u
d
e
ca
r
r
ier
s
(
o
r
)
v
ar
iab
le
am
p
lit
u
d
e
ca
r
r
ier
s
(
VAC)
3
.
1
.
E
qu
a
l
a
m
pl
it
ud
e
ca
rr
ier
s
(
E
AC)
I
n
th
i
s
m
eth
o
d
,
all
t
h
e
tr
ian
g
u
lar
ca
r
r
ier
s
u
s
ed
w
i
ll
h
a
v
e
t
h
e
s
a
m
e
a
m
p
l
itu
d
e.
T
h
e
P
W
M
m
et
h
o
d
s
u
s
ed
ar
e
C
OP
W
M
-
A
,
C
OP
W
M
-
B
AND
C
OP
W
M
-
C
W
I
T
H
s
in
e,
T
HI
,
tr
ap
ez
o
id
a
l
an
d
s
tep
p
ed
w
av
e
r
ef
er
en
ce
s
.
Fi
g
u
r
e
.
4
to
6
s
h
o
w
s
t
h
e
s
a
m
p
le
ca
r
r
ier
ar
r
an
g
e
m
en
t,
o
u
tp
u
t
v
o
lta
g
e
a
n
d
F
FT
p
lo
t
f
o
r
C
OP
W
M
-
A
s
tr
ateg
y
w
i
th
s
i
n
e
r
ef
er
en
ce
(
m
a
=
0
.
8
an
d
m
f
=2
0
)
.
W
h
er
e
m
a
an
d
m
f
ar
e
t
h
e
a
m
p
lit
u
d
e
an
d
f
r
eq
u
e
n
c
y
m
o
d
u
latio
n
in
d
e
x
.
0
0
.
0
0
2
0
.
0
0
4
0
.
0
0
6
0
.
0
0
8
0
.
0
1
0
.
0
1
2
0
.
0
1
4
0
.
0
1
6
0
.
0
1
8
0
.
0
2
-4
-3
-2
-1
0
1
2
3
4
T
i
m
e
i
n
S
e
c
s
A
m
p
l
i
t
u
d
e
i
n
V
o
l
t
s
Fig
u
r
e
4
.
Sa
m
p
le
ca
r
r
ier
ar
r
an
g
e
m
e
n
t
f
o
r
eq
u
al
a
m
p
lit
u
d
e
ca
r
r
ier
s
w
it
h
C
OP
W
M
-
A
s
tr
ateg
y
(
s
in
e
r
ef
er
e
n
ce
f
o
r
m
a
=
0
.
8
,
m
f
=
20)
0
0
.
0
1
0
.
0
2
0
.
0
3
0
.
0
4
0
.
0
5
0
.
0
6
0
.
0
7
0
.
0
8
0
.
0
9
0
.
1
-
2
0
0
-
1
5
0
-
1
0
0
-
5
0
0
50
100
150
200
T
i
m
e
i
n
S
e
c
s
V
o
l
t
a
g
e
i
n
v
o
l
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I
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2252
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g
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Stra
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m
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
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Vo
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m
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4.
CARR
I
E
R
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RL
AP
P
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G
P
WM
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RAT
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m
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h
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tili
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C
FD
o
f
v
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tical
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f
f
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a
m
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ca
r
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h
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C
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to
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r
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m
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ca
r
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w
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ith
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h
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4
A
ct
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all
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ca
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lo
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f
f
s
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in
v
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tical:
t
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e
ca
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s
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tal
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ase
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ap
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licab
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ly
f
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th
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eq
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a
m
p
lit
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d
e
ca
r
r
ier
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
A
P
E
I
SS
N:
2252
-
8792
A
n
a
lysi
s
o
f V
a
r
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(
C.
R.
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la
mu
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u
g
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n
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33
4
.
1
.
CO
P
W
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t
r
a
t
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y
T
h
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ill
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F
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u
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10
.
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t
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e
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ee
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th
at
t
h
e
f
o
u
r
ca
r
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ar
e
o
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lap
p
ed
w
it
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t
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d
th
e
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ef
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s
in
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w
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lace
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at
th
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m
id
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o
f
t
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u
r
ca
r
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.
Fig
u
r
e.
10
C
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r
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OP
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4
.
2
.
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t
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ar
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s
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f
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in
v
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ter
w
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h
C
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M
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s
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ateg
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s
h
o
w
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ig
u
r
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11
.
I
t
ca
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b
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s
ee
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th
at
t
h
e
y
ar
e
d
iv
id
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eq
u
all
y
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n
to
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w
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n
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ativ
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a
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ag
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.
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n
t
h
i
s
s
tr
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,
th
e
t
w
o
g
r
o
u
p
s
ar
e
o
p
p
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s
ite
in
p
h
ase
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ch
o
t
h
er
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w
it
h
in
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Fig
u
r
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11
C
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ate
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(
m
a
=0
.
8
,
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f
=2
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2252
-
8792
IJ
A
P
E
Vo
l.
7
,
No
.
1
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A
p
r
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0
1
8
:
27
–
39
34
4
.
3
.
CO
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ter
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M
-
C
s
t
r
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ar
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s
h
o
w
n
i
n
Fi
g
u
r
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12
.
I
n
th
is
s
tr
ateg
y
,
ca
r
r
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s
in
v
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t
t
h
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p
h
ase
in
t
u
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s
f
r
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p
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e.
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m
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b
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ti
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as
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w
ith
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m
p
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d
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r
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r
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12
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5.
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M
UL
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UL
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h
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f
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llo
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ed
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t
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s
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m
u
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=
5
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1
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