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ti
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t
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teristics
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th
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K
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s
:
Activ
e
f
ilter
Har
m
o
n
ic
L
C
p
ass
iv
e
f
ilter
L
C
L
p
ass
iv
e
f
ilter
MA
T
L
AB
/
S
im
u
lin
k
T
h
is i
s
a
n
o
p
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a
c
c
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ss
a
rticle
u
n
d
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r th
e
CC B
Y
-
SA
li
c
e
n
se
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Yu
lian
ta
Sire
g
ar
Dep
ar
tm
en
t o
f
E
lectr
ical
E
n
g
i
n
ee
r
in
g
,
Facu
lty
o
f
E
n
g
in
ee
r
in
g
,
Un
iv
er
s
itas
Su
m
ater
a
Utar
a
Me
d
an
,
I
n
d
o
n
esia
E
m
ail: ju
lian
ta_
s
r
g
@
u
s
u
.
ac
.
id
1.
I
NT
RO
D
UCT
I
O
N
Dir
ec
t
cu
r
r
en
t
(
DC
)
p
o
wer
at
s
u
b
s
tatio
n
s
h
as
an
im
p
o
r
tan
t
r
o
le
in
s
m
o
o
th
o
p
er
atio
n
s
to
s
er
v
e
th
e
elec
tr
icity
n
ee
d
s
o
f
co
n
s
u
m
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r
s
.
T
h
is
aim
s
to
p
r
o
v
id
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DC
p
o
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f
o
r
r
elay
s
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d
d
r
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in
g
m
o
to
r
s
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cir
cu
it
b
r
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k
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s
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C
B
)
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d
d
is
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n
n
ec
t
in
g
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witch
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(
DS)
an
d
s
u
p
p
ly
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o
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s
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o
r
telec
o
m
m
u
n
i
ca
tio
n
s
eq
u
ip
m
e
n
t
[
1
]
.
T
h
e
DC
s
o
u
r
ce
co
m
es
f
r
o
m
a
r
ec
tifie
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a
n
d
b
atter
y
co
n
n
ec
ted
in
p
ar
allel
to
th
e
lo
a
d
.
W
h
er
e
a
r
ec
tifie
r
is
a
ty
p
e
o
f
r
ec
tifie
r
th
at
h
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n
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n
-
lin
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r
lo
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ch
a
r
ac
ter
is
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ca
n
ca
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s
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th
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in
p
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t
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id
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wav
ef
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r
m
to
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b
e
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s
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d
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e
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th
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in
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r
ac
tio
n
o
f
f
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n
d
am
en
tal
f
r
eq
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e
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cy
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in
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s
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id
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wav
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with
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th
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wav
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k
n
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as
h
ar
m
o
n
ics.
T
h
e
p
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b
lem
is
th
a
t
h
ig
h
h
ar
m
o
n
ic
v
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ca
n
ca
u
s
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ev
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lo
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s
o
th
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ar
m
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n
ics
g
en
e
r
ated
b
y
th
e
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ec
tifie
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d
to
b
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ed
u
c
ed
s
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as
n
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t
to
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ter
f
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e
with
th
e
eq
u
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p
m
en
t'
s
o
p
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n
.
T
h
e
au
th
o
r
h
o
p
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n
e
s
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lu
tio
n
is
to
u
s
e
ac
tiv
e
f
ilter
s
an
d
p
ass
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h
ar
m
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n
ic
f
ilter
s
[
2
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–
[
4
]
.
T
h
e
r
esu
lts
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f
p
r
ev
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s
r
esear
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[
5
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,
it
is
s
h
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wed
t
h
at
all
to
p
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y
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esig
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ld
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p
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lo
s
s
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I
n
a
n
o
th
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s
tu
d
y
[
6
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,
t
h
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to
tal
h
ar
m
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is
to
r
tio
n
(
T
HD)
is
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ce
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with
in
d
u
cto
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p
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in
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(
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C
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ty
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p
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p
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(
L
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f
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s
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T
h
en
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r
esear
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[
7
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s
h
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at
th
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T
HD
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f
th
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in
v
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ter
s
id
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r
r
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t
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etwo
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6
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I
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C
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,
Vo
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15
,
No
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3
,
J
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20
25
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5
6
7
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2
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2568
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r
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T
h
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ar
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8
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h
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at
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s
h
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n
t
ac
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e
p
o
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f
ilter
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f
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r
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B
ased
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s
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MA
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L
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m
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with
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es
is
to
r
(
R
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Ser
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d
am
p
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(
T
a)
,
L
C
L
with
r
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to
r
-
in
d
u
cto
r
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p
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L
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h
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,
an
d
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with
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L
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Ser
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d
a
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p
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(
T
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d
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n
s
[
9
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–
[
1
4
]
to
r
e
d
u
ce
h
ar
m
o
n
ics
at
th
e
Glu
g
u
r
m
ain
s
u
b
s
tatio
n
.
T
h
e
au
th
o
r
h
o
p
es
th
at
th
e
r
esu
lts
o
f
s
ev
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al
m
eth
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d
s
ca
n
p
r
o
v
id
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b
est r
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T
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as n
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2.
M
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O
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T
h
is
r
esear
ch
u
s
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e
MA
T
L
AB
/
Simu
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k
p
r
o
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r
am
s
im
u
lat
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m
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to
s
ee
th
e
e
f
f
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t
o
f
in
s
tallin
g
ac
tiv
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f
ilter
s
,
L
C
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an
d
L
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L
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s
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s
o
n
th
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in
p
u
t
s
id
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f
th
e
r
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tifie
r
at
th
e
Glu
g
u
r
s
u
b
s
tatio
n
to
r
ed
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ce
h
ar
m
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T
h
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eq
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ir
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am
ely
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o
r
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in
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s
,
p
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e
L
C
,
an
d
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C
L
f
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F
ig
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r
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1
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Fu
r
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Fig
u
r
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B
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g
u
r
s
u
b
s
tatio
n
r
ec
tifie
r
cir
cu
it
f
o
llo
win
g
ac
tiv
e
f
ilter
in
s
tallatio
n
in
Fig
u
r
e
2
(
a)
an
d
ac
tiv
e
f
ilter
m
o
d
elin
g
in
Fig
u
r
e
2
(
b
)
[
1
5
]
–
[
1
7
]
.
T
h
en
,
th
e
cir
cu
it
af
ter
in
s
tallin
g
th
e
L
C
p
ass
iv
e
f
ilter
in
Fig
u
r
e
3
[
6
]
,
[
1
8
]
–
[
2
0
]
an
d
th
e
c
ir
cu
it
af
ter
in
s
tallin
g
th
e
L
C
L
p
ass
iv
e
f
ilter
in
Fig
u
r
e
4
(
d
esig
n
T
a
)
,
Fig
u
r
e
5
(
d
esig
n
T
c
)
,
Fig
u
r
e
6
(
d
esig
n
T
d
).
Fig
u
r
e
1
.
Glu
g
u
r
s
u
b
s
tatio
n
r
e
ctif
ier
cir
cu
it m
o
d
el
i
n
th
e
in
it
ial
co
n
d
itio
n
T
h
u
s
,
th
e
s
im
u
latio
n
s
tep
s
ca
n
b
e
c
ar
r
ied
o
u
t
as
f
o
llo
ws:
f
ir
s
t,
d
r
aw
th
e
r
ec
tifie
r
cir
c
u
it
at
t
h
e
Glu
g
u
r
s
u
b
s
tatio
n
b
ef
o
r
e
in
s
tallin
g
t
h
e
f
ilter
(
i
n
itial
co
n
d
itio
n
s
)
.
Nex
t,
th
e
Glu
g
u
r
s
u
b
s
tatio
n
r
ec
tifie
r
o
u
t
p
u
t
is
co
n
n
ec
ted
to
th
e
lo
ad
an
d
d
ete
r
m
in
es
th
e
p
o
wer
an
d
v
o
ltag
e
o
f
th
e
r
ec
tifie
r
.
Nex
t,
r
u
n
MA
T
L
AB
/Si
m
u
lin
k
to
s
ee
th
e
T
HDi
an
d
I
HDi
v
alu
es
b
ef
o
r
e
in
s
tallin
g
th
e
f
ilter
.
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th
e
o
th
er
h
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d
,
th
e
r
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ti
f
ier
cir
cu
it
ca
n
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e
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ea
s
s
em
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led
b
y
in
s
er
tin
g
an
a
ctiv
e
f
ilter
u
s
in
g
MA
T
L
AB
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u
lin
k
.
T
h
e
n
,
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n
to
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ee
th
e
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ef
o
r
m
,
T
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d
I
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alu
es
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ter
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s
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th
e
ac
tiv
e
f
ilter
.
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h
e
n
,
ca
lc
u
late
th
e
v
alu
es
o
f
C
an
d
L
as
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m
p
o
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t
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alu
es
in
th
e
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C
p
ass
iv
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ilter
u
s
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g
(
1
)
-
(
1
8
)
,
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en
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ea
s
s
em
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le
th
e
r
ec
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r
cir
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y
in
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er
tin
g
t
h
e
L
C
p
ass
iv
e
f
ilter
in
MA
T
L
AB
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u
lin
k
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d
i
s
p
lay
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g
th
e
wav
ef
o
r
m
an
d
T
HDi
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d
I
HDi
v
alu
es
a
f
ter
in
s
tallin
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th
e
L
C
f
ilter
.
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ter
th
at,
ca
lcu
late
th
e
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alu
es
o
f
L
g
,
L
,
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d
C
f
as
co
m
p
o
n
e
n
t
v
alu
es
in
th
e
L
C
L
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ass
iv
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ilter
,
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en
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ea
s
s
em
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le
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e
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ec
tifie
r
cir
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in
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er
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g
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e
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C
L
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ass
iv
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ilter
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T
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n
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T
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T
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AB
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lin
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e
e
th
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o
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m
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r
r
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n
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ltag
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n
th
e
i
n
p
u
t
s
id
e
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T
HDi
an
d
I
HDi
af
ter
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g
th
e
L
C
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ilter
[
2
1
]
,
[
2
2
]
.
Me
a
n
wh
ile,
Fig
u
r
e
7
s
h
o
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th
e
f
lo
w
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iag
r
am
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o
r
in
s
tallin
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ac
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f
ilter
s
,
p
ass
iv
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L
C
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ilter
s
,
an
d
L
C
L
f
ilter
s
o
n
th
e
Glu
g
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r
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u
b
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n
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r
.
At
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co
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m
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p
lin
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PC
C
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tr
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tem
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E
E
Std
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1
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o
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f
e
r
s
r
u
l
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d
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ec
o
m
m
e
n
d
atio
n
s
f
o
r
lim
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g
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m
o
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ic
v
o
ltag
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an
d
cu
r
r
en
t
d
is
to
r
tio
n
.
T
h
e
s
tan
d
ar
d
ac
k
n
o
wled
g
es
th
at
elec
tr
icity
u
s
er
s
m
u
s
t
p
r
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v
en
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o
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r
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o
r
d
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to
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ted
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r
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en
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f
r
o
m
d
eter
io
r
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e
v
o
ltag
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q
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ality
o
f
th
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tili
ty
.
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t
also
ac
k
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tili
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lig
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to
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u
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2
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2
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tan
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I
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2088
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im
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m
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(
a)
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b
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Fig
u
r
e
2
.
Glu
g
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r
s
u
b
s
tatio
n
r
e
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cir
cu
it (
a)
m
o
d
el
af
ter
in
s
tallin
g
th
e
ac
tiv
e
f
ilter
u
s
in
g
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T
L
AB
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im
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lin
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d
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b
)
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e
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ilter
Fig
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r
e
3
.
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g
u
r
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u
b
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tatio
n
r
e
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cir
cu
it m
o
d
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a
f
ter
L
C
f
ilter
in
s
tallatio
n
u
s
in
g
MA
T
L
AB
/
Simu
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k
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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e
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[A]
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2088
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RE
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D
D
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SS
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3
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1
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8
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2
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m
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d
L
C
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b
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ile,
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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H
(
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Evaluation Warning : The document was created with Spire.PDF for Python.