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m
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ed
as
2
ODC
O
A
V
G
Load
V
p
R
(
8
)
Fro
m
t
h
e
p
o
w
er
b
alan
ce
d
tec
h
n
iq
u
e,
t
h
e
a
v
er
ag
e
o
u
tp
u
t
p
o
w
er
(
P
OA
V
G
)
a
s
(
8
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is
eq
u
al
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e
a
v
er
ag
e
i
n
p
u
t
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o
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er
(
P
SAV
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(
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en
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h
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DC
co
m
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co
n
tr
o
lled
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ltag
e
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V
CDC
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n
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e
ex
p
r
ess
e
d
as
2
2
1
4
ˆ
2
s
i
n
(
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ODC
C
D
C
L
o
a
d
S
V
V
K
R
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k
f
(
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h
er
e
V
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is
th
e
av
er
ag
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u
tp
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t
v
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m
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h
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x
p
r
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,
r
ep
lace
V
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in
(
4
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d
r
ea
r
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g
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b
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u
s
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n
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tr
ig
o
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m
etr
i
c
id
en
tit
ies,
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e
n
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h
e
in
p
u
t c
u
r
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t c
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1
s
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r
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s
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o
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t
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13
(
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o
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2
(
2
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i
n
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s
L
L
L
L
o
a
d
S
V
k
i
t
t
t
R
V
k
f
f
(
1
2
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2
3
2
(
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c
o
s
(
3
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ˆ
(
2
s
i
n
)
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s
L
L
L
o
a
d
S
V
i
t
k
t
R
V
k
f
f
(
1
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
I
SS
N:
2
0
8
8
-
8
694
V
o
lta
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ip
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ctio
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will b
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al.
2
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2
.
T
he
O
utput
Curre
nt
An
i
n
s
ta
n
ta
n
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u
s
o
u
tp
u
t p
o
w
e
r
(
p
o
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at
th
e
o
u
tp
u
t v
o
ltag
e
ca
n
b
e
o
b
tain
(
)
(
)
(
)
o
L
o
L
o
L
p
t
i
t
v
t
(
1
4
)
Fro
m
t
h
e
p
o
w
er
b
alan
ce
d
tec
h
n
iq
u
e,
t
h
e
i
n
s
tan
tan
eo
u
s
o
u
t
p
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t
p
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er
(
p
o
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as
eq
u
a
tio
n
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en
ce
g
o
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h
er
e
is
eq
u
al
to
th
e
in
s
ta
n
ta
n
eo
u
s
in
p
u
t
p
o
w
er
(
p
s
)
in
(
5
)
,
th
en
a
s
s
u
m
e
t
h
e
o
u
tp
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t
ca
p
ac
ito
r
is
b
u
lk
.
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h
er
ef
o
r
e,
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e
o
u
tp
u
t v
o
lta
g
e
(
v
o
(
L
t
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)
w
ill o
n
l
y
b
e
D
C
co
m
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t (
V
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th
en
t
h
e
i
n
p
u
t c
u
r
r
en
t (
i
o
(
L
t
))
w
il
l e
x
p
r
ess
e
s
as
2
2
1
ˆ
(
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s
i
n
(
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1
s
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n
(
2
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D
C
S
o
L
L
L
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V
K
V
i
t
t
k
t
V
f
(
1
5
)
Fro
m
th
is
ex
p
r
ess
io
n
,
r
ep
lace
V
CDC
b
y
(
9
)
an
d
r
ea
r
r
an
g
e
b
y
u
s
in
g
tr
ig
o
n
o
m
etr
ic
id
en
titi
es,
th
en
th
e
o
u
tp
u
t
cu
r
r
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t
ca
n
b
e
ex
p
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ess
ed
as
2
n
d
h
a
r
m
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n
i
c
4
t
h
h
a
r
m
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n
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c
4
11
(
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i
n
c
o
s
2
s
i
n
(2
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i
n
(4
)
(2
s
i
n
)
2
4
2
2
4
ODC
o
L
L
L
L
L
o
a
d
DC
V
k
k
k
i
t
t
t
t
Rk
f
f
f
f
(
1
6
)
W
h
er
e
24
(
ω
)
(
ω
)
(
ω
)
o
L
O
D
C
o
L
o
L
i
t
I
i
t
i
t
(
1
7
)
An
d
ODC
ODC
L
o
a
d
V
I
R
(
1
8
)
2
2
(
)
s
i
n
(2
)
c
o
s
2
(2
s
i
n
)
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o
L
L
L
L
o
a
d
V
i
t
k
t
t
Rk
f
f
(
1
9
)
4
(
)
s
i
n
(4
)
(2
s
i
n
)
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o
L
L
L
o
a
d
V
i
t
k
t
Rk
f
f
(
2
0
)
W
h
er
e
I
ODC
is
DC
co
m
p
o
n
en
t
o
f
o
u
tp
u
t
cu
r
r
en
t,
i
o
2
(
L
t
)
is
2
n
d
h
ar
m
o
n
ics
co
n
ten
t
o
f
o
u
tp
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t
cu
r
r
en
t
an
d
i
o
4
(
L
t
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is
4
th
h
ar
m
o
n
ics c
o
n
ten
t o
f
o
u
tp
u
t c
u
r
r
en
t.
2
.
3
.
T
he
O
utput
Vo
lt
a
g
e
T
h
e
o
u
tp
u
t
v
o
ltag
e
is
o
b
tain
ed
f
r
o
m
th
e
m
u
ltip
licatio
n
o
f
th
e
o
u
tp
u
t
cu
r
r
en
t
(
1
6
)
b
y
th
e
o
u
tp
u
t
im
p
ed
an
ce
th
at
is
ca
p
ac
itiv
e
r
ea
ctan
ce
is
p
ar
allel
led
w
ith
r
esis
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ce
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ad
.
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h
e
ca
p
ac
itiv
e
r
ea
ctan
ce
w
ill
m
ain
ly
in
v
o
lv
e
th
e
A
C
co
m
p
o
n
en
t
d
u
e
to
lo
w
er
im
p
ed
an
ce
th
an
th
e
r
esis
itiv
e
lo
ad
;
th
er
ef
o
r
e,
th
e
co
m
p
o
n
en
ts
i
o
2
(
L
t
)
a
n
d
i
o
4
(
L
t
)
ar
e
co
n
s
id
er
ed
to
f
lo
w
th
r
o
u
g
h
th
e
o
u
tp
u
t
ca
p
ac
ito
r
.
A
t
th
e
s
am
e
tim
e,
T
h
e
DC
co
m
p
o
n
en
t
I
ODC
is
co
n
s
id
er
ed
to
f
lo
w
th
r
o
u
g
h
th
e
r
esis
tiv
e
lo
ad
.
T
h
u
s
,
th
e
2
nd
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d
4
th
h
ar
m
o
n
ics
co
n
ten
t
o
f
o
u
tp
u
t
v
o
ltag
e
(
v
o
2,
4
(
L
t
))
ca
n
b
e
w
r
itten
as
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
No
.
2
,
J
u
n
e
2
0
1
7
:
8
6
9
–
8
8
1
874
2
,
4
2
,
4
2
,
4
(
)
(
)
o
L
o
L
c
L
v
t
i
t
x
(
2
1
)
Fro
m
th
is
ex
p
r
ess
io
n
,
s
u
b
s
titu
tin
g
th
e
o
u
tp
u
t
cu
r
r
en
t
i
o
2
(
L
t
)
an
d
i
o
4
(
L
t
)
f
r
o
m
(
1
9
)
an
d
(
2
0
)
r
esp
ec
tiv
ely
,
th
en
th
e
o
u
tp
u
t
v
o
ltag
e
v
o
2
(
L
t
)
an
d
v
o
4
(
L
t
)
ca
n
b
e
ex
p
r
ess
ed
as
2
2
(
)
c
o
s
(2
)
s
i
n
2
2
(2
s
i
n
)
ODC
o
L
L
L
L
L
o
a
d
V
v
t
k
t
t
C
R
k
f
f
(2
2)
4
2
(
)
c
o
s
(4
)
2
(2
s
i
n
)
4
ODC
o
L
L
L
L
o
a
d
V
k
v
t
t
C
R
k
f
f
(
2
3
)
T
h
u
s
,
th
e
o
u
tp
u
t v
o
lta
g
e
(
v
o
(
L
t
))
w
ill b
e
w
r
itte
n
as
24
()
(
)
(
)
(
)
o
A
C
L
o
L
O
D
C
o
L
o
L
vt
v
t
V
v
t
v
t
(
2
4
)
W
h
er
e
V
ODC
is
av
er
ag
e
o
u
tp
u
t
v
o
ltag
e,
v
o
2
(
L
t
)
i
s
2
n
d
h
ar
m
o
n
ics
co
n
te
n
t
o
f
o
u
tp
u
t
v
o
ltag
e
an
d
v
o
4
(
L
t
)
i
s
4
th
h
ar
m
o
n
ics co
n
te
n
t o
f
o
u
tp
u
t
v
o
ltag
e.
2
(
)
c
o
s
(2
)
s
i
n
2
c
o
s
(4
)
2
(2
s
i
n
)
4
ODC
o
L
O
D
C
L
L
L
L
L
o
a
d
V
k
v
t
V
k
t
t
t
C
R
k
f
f
f
(
2
5
)
T
h
e
o
u
tp
u
t
v
o
ltag
e
is
d
escr
ib
e
d
b
y
(
2
5
)
is
co
m
p
o
s
ed
o
f
DC
co
m
p
o
n
e
n
t
(
V
ODC
)
an
d
AC
co
m
p
o
n
en
t
(v
oAC
(
L
t
)
)
w
h
ic
h
i
s
t
h
e
o
u
tp
u
t
r
ip
p
le
v
o
ltag
e.
T
h
is
r
ip
p
le
i
s
s
en
s
ed
in
to
v
o
lta
g
e
lo
o
p
an
d
ca
u
s
e
th
e
in
p
u
t
c
u
r
r
en
t
d
is
to
r
tio
n
.
I
n
th
e
ca
s
e
o
f
th
e
k
eq
u
al
to
ze
r
o
(
k
=0
)
,
th
e
E
q
u
atio
n
(
2
5
)
w
il
l b
e
w
r
itte
n
as
2
0
(
)
s
i
n
2
2
oL
ODC
o
L
O
D
C
L
k
L
L
o
a
d
vt
V
v
t
V
t
CR
(
2
6
)
I
f
k
is
co
n
tr
o
lled
to
b
e
ze
r
o
,
th
en
th
e
AC
co
m
p
o
n
e
n
t d
is
ap
p
ea
r
s
in
th
e
o
u
ter
lo
o
p
.
3.
T
H
E
R
E
DUC
T
I
O
N
O
F
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