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Fu
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th
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Evaluation Warning : The document was created with Spire.PDF for Python.
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I
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N
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0
8
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694
I
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P
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w
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Dr
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S
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,
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9
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3
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
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&
Dr
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S
y
s
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I
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esu
lte
d
in
p
u
t c
u
r
r
en
t r
ip
p
le
is
in
(
1
8
)
.
̃
2
=
2
[
4
3
(
∑
s
in
(
)
−
1
2
=
1
)
c
os
2
−
3
(
∑
s
in
(
)
−
1
2
=
1
)
]
−
2
8
2
2
c
os
2
(
1
8
)
Fo
r
ev
en
p
h
ase
n
u
m
b
er
e.
g
.
6
,
1
2
,
1
8
an
d
2
4
p
h
ase
in
v
er
te
r
s
,
th
e
r
ef
er
en
ce
p
atter
n
ca
n
b
e
s
ee
n
in
Fig
u
r
e
4
.
T
h
e
tim
e
i
n
ter
v
als ar
e
eq
u
al
to
(
2
)
to
(
6
)
an
d
(
7
)
an
d
(
8
)
a
r
e
r
e
p
lace
d
w
i
th
(
1
9
)
an
d
(
2
0
)
.
−
1
=
(
+
2
)
/
2
−
(
+
4
)
/
2
4
(
1
9
)
=
1
+
(
+
4
)
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2
4
(
2
0
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Dif
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er
en
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to
o
d
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ase
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te
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e
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er
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.
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e
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n
p
u
t
cu
r
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en
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ip
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le
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a
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m
b
in
at
i
o
n
o
f
t
h
e
i
n
p
u
t
c
u
r
r
en
t
r
ip
p
l
e
o
f
(
+
1
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p
h
ase
in
v
er
ter
an
d
(
−
1
)
p
h
ase
in
v
er
ter
,
i.e
.
̃
2
=
2
[
2
3
(
∑
s
in
(
)
2
=
1
+
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s
in
(
)
2
−
1
=
1
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c
os
2
+
3
(
∑
1
s
in
(
)
2
=
1
+
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2
s
in
(
)
2
−
1
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−
2
8
2
2
c
os
2
(
2
1
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T
h
is
ca
n
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e
s
i
m
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li
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e
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2
2
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.
̃
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3
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1
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s
in
(
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2
−
1
=
1
)
c
os
2
+
3
(
∑
s
in
(
)
2
=
1
)
]
−
2
8
2
2
c
os
2
(
22
)
w
it
h
t
h
e
v
al
u
e
s
o
f
1
,
2
,
an
d
ar
e
s
h
o
w
n
i
n
T
ab
le
2
.
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ab
le
2
.
T
h
e
Valu
es o
f
1
,
2
,
an
d
2
2
−
1
2
−
2
2
−
3
2
−
4
2
−
5
...
2
1
1
-
1
2
-
1
-
1
2
-
1
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...
...
2
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2
...
...
...
-
1
1
1
-
2
1
1
...
...
...
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
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
3
,
Sep
tem
b
er
2
0
1
8
:
1
4
3
2
–
1
4
4
4
1438
I
t
ca
n
b
e
s
ee
n
f
r
o
m
(
1
7
)
,
(
1
8
)
,
an
d
(
2
2
)
th
at
t
h
e
i
n
p
u
t
cu
r
r
en
t
r
ip
p
le
is
n
o
t
a
f
f
ec
ted
b
y
th
e
s
w
itc
h
in
g
f
r
eq
u
en
c
y
.
T
h
u
s
,
t
h
e
in
p
u
t
c
u
r
r
en
t
r
ip
p
le
ca
n
n
o
t
b
e
r
ed
u
ce
d
b
y
i
n
cr
ea
s
i
n
g
t
h
e
s
w
itc
h
i
n
g
f
r
eq
u
en
c
y
.
B
y
u
s
i
n
g
(
1
7
)
,
(
1
8
)
,
an
d
(
2
2
)
,
th
e
r
esu
lt
ed
in
p
u
t
c
u
r
r
en
t
r
ip
p
le
f
o
r
m
u
ltip
h
ase
in
v
er
ter
w
it
h
p
h
a
s
e
n
u
m
b
er
s
o
f
3
to
1
7
ar
e
s
h
o
w
n
in
T
ab
le
3
.
T
ab
le
3
.
I
n
p
u
t Cu
r
r
en
t
R
ip
p
le
o
f
Mu
ltip
h
ase
P
W
M
I
n
v
er
ter
s
P
h
a
se
n
u
m
b
e
r
I
n
p
u
t
c
u
r
r
e
n
t
r
i
p
p
l
e
̃
2
3
2
[
2
√
3
cos
2
+
√
3
2
]
−
9
8
2
2
cos
2
5
2
[
20
3
(
si
n
(
2
5
)
+
si
n
(
5
)
)
cos
2
+
10
3
(
−
si
n
(
2
5
)
+
2
si
n
(
5
)
)
]
−
25
8
2
2
cos
2
6
2
[
12
3
(
1
+
2
si
n
(
2
6
)
+
2
si
n
(
6
)
)
cos
2
+
6
3
(
−
si
n
(
3
6
)
+
si
n
(
2
6
)
+
si
n
(
6
)
)
]
−
36
8
2
2
cos
2
7
2
[
28
3
(
si
n
(
3
7
)
+
si
n
(
2
7
)
+
si
n
(
7
)
)
c
o
s
2
+
14
3
(
−
si
n
(
3
7
)
+
2
si
n
(
2
7
)
−
si
n
(
7
)
)
]
−
49
8
2
2
cos
2
9
2
[
36
3
(
si
n
(
4
9
)
+
si
n
(
3
9
)
+
si
n
(
2
9
)
+
si
n
(
9
)
)
cos
2
−
9
3
(
−
si
n
(
4
9
)
+
2
si
n
(
3
9
)
−
si
n
(
2
9
)
−
si
n
(
9
)
)
]
−
81
8
2
2
cos
2
11
2
[
44
3
(
si
n
(
5
11
)
+
si
n
(
4
11
)
+
si
n
(
3
11
)
+
si
n
(
2
11
)
+
si
n
(
11
)
)
cos
2
+
22
3
(
−
si
n
(
5
11
)
+
2
si
n
(
4
11
)
−
si
n
(
3
11
)
−
si
n
(
2
11
)
+
2
si
n
(
11
)
)
]
−
121
8
2
2
c
o
s
2
12
2
[
24
3
(
1
+
2
si
n
(
5
12
)
+
2
si
n
(
4
12
)
+
2
si
n
(
3
12
)
+
2
si
n
(
2
12
)
+
2
si
n
(
12
)
)
cos
2
12
3
(
−
si
n
(
6
12
)
+
si
n
(
5
12
)
+
si
n
(
4
12
)
−
2
si
n
(
3
12
)
+
si
n
(
2
12
)
+
si
n
(
12
)
)
]
−
144
8
2
2
cos
2
13
2
[
52
3
(
si
n
(
6
13
)
+
si
n
(
5
13
)
+
si
n
(
4
13
)
+
si
n
(
3
13
)
+
si
n
(
2
13
)
+
si
n
(
13
)
)
c
o
s
2
+
26
3
(
−
si
n
(
6
13
)
+
2
si
n
(
5
13
)
−
si
n
(
4
13
)
−
si
n
(
3
13
)
+
2
si
n
(
2
13
)
−
si
n
(
13
)
)
]
−
169
8
2
2
cos
2
15
2
[
60
3
(
si
n
(
7
15
)
+
si
n
(
6
15
)
+
si
n
(
5
15
)
+
si
n
(
4
15
)
+
si
n
(
3
15
)
+
si
n
(
2
15
)
+
si
n
(
15
)
)
cos
2
−
15
3
(
−
si
n
(
7
15
)
+
2
si
n
(
6
15
)
−
si
n
(
5
15
)
−
si
n
(
4
15
)
+
2
si
n
(
3
15
)
−
si
n
(
2
15
)
−
si
n
(
15
)
)
]
−
225
8
2
2
cos
2
17
2
[
68
3
(
si
n
(
8
17
)
+
si
n
(
7
17
)
+
si
n
(
6
17
)
+
si
n
(
5
17
)
+
si
n
(
4
17
)
+
si
n
(
3
17
)
+
si
n
(
2
17
)
+
si
n
(
17
)
)
cos
2
+
34
3
(
−
si
n
(
8
17
)
+
2
si
n
(
7
17
)
−
si
n
(
6
17
)
−
si
n
(
5
17
)
+
2
si
n
(
4
17
)
−
si
n
(
3
17
)
−
si
n
(
2
17
)
+
2
si
n
(
17
)
)
]
−
289
8
2
2
c
o
s
2
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2
0
8
8
-
8
694
I
n
p
u
t Cu
r
r
en
t R
ip
p
le
A
n
a
lysi
s
o
f Mu
ltip
h
a
s
e
P
W
M I
n
ve
r
ter
s
(
A
n
w
a
r
Mu
q
o
r
o
b
in
)
1439
3.
CO
M
P
ARIS
O
N
Fig
u
r
es
6
a
n
d
7
s
h
o
w
t
h
e
i
n
v
er
ter
in
p
u
t
c
u
r
r
en
t
r
ip
p
le
as
a
f
u
n
ctio
n
o
f
m
o
d
u
latio
n
in
d
e
x
f
o
r
p
o
w
er
f
ac
to
r
s
o
f
0
.
8
an
d
1
.
0
,
r
esp
ec
tiv
el
y
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n
t
h
ese
f
ig
u
r
es,
th
e
in
p
u
t
cu
r
r
e
n
t
r
ip
p
les
o
f
m
u
lti
p
h
ase
i
n
v
er
ter
s
ar
e
n
o
r
m
alize
d
w
it
h
r
esp
ec
t
to
t
h
r
ee
-
p
h
a
s
e
i
n
v
er
ter
s
,
w
it
h
eq
u
al
to
tal
o
u
tp
u
t
p
o
w
er
.
T
h
ese
f
i
g
u
r
e
s
s
h
o
w
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h
a
t
u
n
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er
t
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s
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p
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t
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u
r
r
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t
r
ip
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le
o
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er
ter
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ed
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ce
d
w
i
th
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e
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n
cr
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f
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ase
n
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er
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h
is
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ed
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ctio
n
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o
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cr
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f
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ig
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6
Z
O
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M
Fig
u
r
e
6
.
I
n
p
u
t c
u
r
r
en
t r
ip
p
le
w
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e
n
P
F=0
.
8
Fig
u
r
e
7
.
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n
p
u
t c
u
r
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t r
ip
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w
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e
n
P
F=1
.
0
Fig
u
r
e
8
s
h
o
w
s
th
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alize
d
in
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t
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r
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e
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ase
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m
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e
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ap
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o
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eliab
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ic
o
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cto
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r
at
in
g
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e
co
n
s
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er
ed
.
(
a)
(
b
)
Fig
u
r
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