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i
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V
ol
.
4,
N
o.
2,
N
o
v
em
ber
20
16,
p
p.
3
25
~
3
32
D
O
I
:
10.
115
91/
i
j
eec
s
.
v
4
.
i
2
.
pp
32
5
-
33
2
3
25
R
ec
ei
v
ed
A
ugus
t
10,
201
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;
R
ev
i
s
ed
S
e
pt
e
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12,
20
1
6
;
A
c
c
ept
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O
c
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10,
2
016
Tota
l
H
a
r
m
oni
c
D
i
s
tor
ti
o
n a
t
Fa
ul
t i
n
R
L
C
Lo
a
d
P
an
k
aj
A
sw
al
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,
Su
y
a
s
h
K
u
m
a
r
Si
n
g
h
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i
h
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ri
k
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g
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r
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a
l
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v
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k
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y
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t
ri
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a
rm
a
D
epar
t
m
ent
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l
e
c
t
r
i
c
a
l
&
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l
e
c
t
r
on
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c
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ng
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ng
,
G
r
aph
i
c
E
r
a
U
ni
v
er
s
i
t
y
*
C
or
r
es
po
ndi
ng a
ut
hor
,
e
-
m
a
i
l:
id
-
a
s
w
al
_pan
k
aj
@
r
e
di
f
f
m
a
i
l
.
c
om
A
b
st
r
act
T
hi
s
p
aper
f
o
c
u
s
es
o
n t
he c
al
c
ul
a
t
i
on o
f
t
ot
a
l
har
m
oni
c
di
s
t
o
r
t
i
on (
T
H
D
)
at
v
ar
i
ou
s
f
au
l
t
s
i
t
uat
i
o
ns
i
n
c
as
e
of
R
LC
l
oad.
T
he
f
a
ul
t
s
ar
e
c
r
eat
ed
by
i
n
t
r
odu
c
i
ng
h
eav
y
i
m
pedan
c
e
of
10
00
ohm
,
by
bl
ow
i
ng
of
f
t
he
gat
e
pu
l
s
e
at
on
e
of
t
he
t
e
r
m
i
nal
s
of
t
he
m
o
s
f
et
,
and
by
i
nt
r
od
uc
i
ng
a
l
i
n
e
t
o
gr
ound
f
a
ul
t
.
T
h
e
M
at
l
ab
bas
e
d s
i
m
ul
at
i
on
has
bee
n do
ne t
o
s
how
t
he
s
e e
f
f
ec
t
s
.
Ke
y
w
o
rd
s
:
t
ot
al
har
m
oni
c
d
i
s
t
or
t
i
on
(
T
H
D
)
,
m
os
f
et
,
f
a
ul
t
,
f
r
e
quen
c
y
C
o
p
y
r
i
g
h
t
©
20
16 I
n
st
i
t
u
t
e o
f
A
d
van
c
ed
E
n
g
i
n
eer
i
n
g
an
d
S
ci
en
ce
.
A
l
l
r
i
g
h
t
s r
es
er
ved
.
1
.
I
n
tr
o
d
u
c
ti
o
n
T
he
t
ot
al
har
m
oni
c
di
s
t
or
t
i
on
,
or
T
HD
,
of
a
s
i
gn
al
i
s
def
i
ned
as
t
h
e m
eas
ur
e of
t
he
h
ar
m
oni
c
di
s
t
or
t
i
on
pr
e
s
ent
i
n t
he s
i
gn
al
an
d
i
s
t
he
r
at
i
o
of
t
he s
um
of
t
he
po
w
er
s
of
har
m
oni
c
c
o
m
ponent
s
t
o t
he po
w
er
of
t
he
f
und
am
ent
al
f
r
eque
nc
y
.
T
H
D
i
s
us
e
d t
o def
i
n
e t
h
e
qua
l
i
t
y
of
po
w
er
i
n el
ec
t
r
i
c
po
w
er
s
y
s
t
em
s
.
I
n pow
er
s
y
s
t
em
s
,
t
he dec
r
eas
e
i
n t
h
e v
a
l
u
e of
T
H
D
l
ea
ds
t
o r
ed
uc
t
i
on
i
n p
eak
c
ur
r
ent
s
,
he
at
i
ng,
and
c
or
e l
o
s
s
i
n m
ot
or
s
[1
-
3
], [7
]
.
W
h
en
w
e
t
al
k
about
e
l
ec
t
r
i
c
m
ot
or
s
or
el
ec
t
r
i
c
al
g
ene
r
at
or
s
,
w
e
t
hi
nk
t
hat
t
he
s
p
eed
of
r
ot
at
i
on of
t
hes
e
el
ec
t
r
i
c
al
m
ac
hi
nes
i
s
m
oni
t
or
e
d o
nl
y
b
y
t
he
v
ol
t
age
and f
r
e
quenc
y
of
t
he
s
our
c
e c
ur
r
ent
appl
i
e
d t
o t
he m
ac
hi
nes
.
B
ut
t
h
e s
peed of
r
ot
at
i
on t
hes
e m
ac
hi
n
es
c
an be
c
ont
r
ol
l
ed
b
y
a
ppl
y
i
ng
t
he
c
onc
ept
of
d
r
i
ve
.
T
he
ad
v
a
nt
ag
e
of
us
i
n
g
dr
i
v
es
i
s
t
h
e
m
ot
i
on
of
t
he
m
a
c
hi
nes
c
an be c
ont
r
o
l
l
e
d eas
i
l
y
b
y
m
ak
i
ng t
he us
e of
dr
i
v
e.
I
n ot
h
er
w
or
ds
,
t
he s
y
s
t
em
s
w
hi
c
h c
o
nt
r
ol
t
he
m
ot
i
on of
t
he e
l
ec
t
r
i
c
a
l
m
ac
hi
nes
ar
e
k
now
n as
el
ec
t
r
i
c
al
dr
i
v
es
[
2
], [4
]
, [6
]
.
H
er
e w
e ha
v
e
m
ade t
he u
s
e of
t
he R
LC
l
oad
i
n or
d
er
t
o s
t
ud
y
h
o
w
t
he s
y
s
t
e
m
get
s
af
f
ec
t
ed w
h
en
di
f
f
er
ent
t
y
p
es
of
f
aul
t
s
oc
c
ur
i
n
t
he
c
i
r
c
ui
t
,
i
.
e.
ho
w
t
h
e T
H
D
(
T
ot
al
;
H
ar
m
oni
c
di
s
t
or
t
i
on)
g
et
s
af
f
ec
t
ed i
n c
as
e of
v
ar
i
ous
s
or
t
s
of
f
aul
t
s
[3
], [5
]
.
T
he E
D
pr
ob
l
em
i
s
t
he
m
u
lt
i
-
di
m
ens
i
on t
hat
i
s
s
ui
t
a
bl
e t
he n
um
ber
of
uni
t
ge
ner
at
or
.
T
h
is
i
s
c
hal
l
eng
e of
t
he
C
F
S
m
et
hod f
or
s
ol
v
i
n
g t
h
e
E
D
pr
obl
em
.
T
he
pap
er
w
i
l
l
d
ev
el
o
p t
he
C
F
S
f
o
r
Mul
t
i
D
i
m
ens
i
on
C
F
S
,
MD
-
C
F
S.
T
he
m
et
hodol
o
g
y
w
i
l
l
b
e
des
c
r
i
be
d
c
l
e
ar
l
y
,
w
her
e
t
h
e
di
m
ens
i
ons
ar
e dec
om
pos
ed i
nt
o t
w
o or
t
hr
ee d
i
m
ens
i
ons
,
f
or
ex
a
m
pl
e 7
di
m
ens
i
o
ns
w
il
l b
e
dec
om
pos
ed i
nt
o 2
par
t
s
of
t
w
o
di
m
ens
i
ons
a
nd 1
p
ar
t
of
t
hr
ee d
i
m
ens
i
ons
.
F
ut
her
m
or
e,
t
he
m
et
hod w
i
l
l
b
e t
es
t
ed b
y
8
gener
at
or
s
,
8
di
m
ens
i
ons
.
2
.
S
i
m
u
l
a
te
d
M
o
d
e
l
H
er
e
w
e
ha
v
e
s
i
m
ul
at
ed
o
ur
pap
er
un
der
v
ar
i
o
us
f
aul
t
c
on
di
t
i
on
an
d
w
i
t
ho
ut
a
n
y
f
a
ul
t
c
ondi
t
i
o
n f
or
t
he
s
i
m
ul
at
i
on
w
e us
e
po
w
er
e
l
ec
t
r
on
i
c
s
d
i
od
e f
our
i
n n
um
ber
s
t
o us
e
i
t
as
r
ec
t
i
f
i
er
.
T
he s
i
m
ul
at
ed m
odel
c
ont
a
i
ns
p
i
f
i
l
t
er
t
o
i
m
pr
ov
e t
he
q
ual
i
t
y
of
t
he
i
n
put
po
w
er
s
u
ppl
y
.
T
hen
w
e
us
e t
he
s
et
of
s
i
x
m
os
f
et
as
a v
ol
t
age
s
our
c
e i
nv
er
t
er
.
3
.
C
o
n
d
i
ti
o
n
s
u
n
d
e
r
O
b
s
e
r
v
a
ti
o
n
s
I
n t
h
e pr
es
e
nt
w
or
k
,
s
i
m
ul
at
i
on s
t
udi
es
ha
v
e
be
en
per
f
or
m
ed on a 3
-
p
has
e
B
r
us
h
l
es
s
dc
m
ot
or
.
T
he f
aul
t
i
n t
h
e s
i
m
ul
at
i
on m
odel
i
s
c
r
eat
e
d
i
n t
h
e f
ol
l
o
w
i
n
g
w
a
y
s
.
1.
N
o f
au
l
t
i
s
i
nt
r
o
duc
e
d.
2.
N
o
gat
e pu
l
s
e a
t
on
e of
t
he s
i
x
MO
S
F
E
T
gat
e
t
er
m
i
nal
s
.
3.
B
l
o
w
i
n
g of
f
one MO
S
F
E
T
i
n t
he
V
S
I
i
n
v
er
t
er
b
y
i
nt
r
oduc
i
ng a
r
es
i
s
t
anc
e
of
1 k
i
l
o o
hm
.
4.
L
i
ne
t
o gr
o
un
d f
aul
t
at
o
n
e of
t
he m
ot
or
t
er
m
i
nal
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
25
02
-
4
752
I
J
E
EC
S
V
o
l.
4
,
N
o.
2,
N
o
v
em
ber
2016
:
325
–
3
32
326
4.
S
i
m
u
l
a
ti
o
n
R
e
s
u
l
t
4.
1.
N
o
fa
u
l
t i
s
i
n
tr
o
d
u
c
e
d
I
n
t
hi
s
c
ond
i
t
i
on
w
h
en
n
o
f
aul
t
i
s
c
r
eat
ed
t
h
en
t
he
r
es
ul
t
s
c
al
c
ul
at
e
d
gi
v
es
t
h
e
v
a
l
ue
of
T
H
D
as
14.
44%
.
T
he s
i
m
ul
a
t
ed m
odel
i
s
s
am
e as
t
hat
o
f
or
i
gi
na
l
m
odel
F
i
gur
e 1
an
d 5
.
F
i
gur
e 1.
S
i
m
ul
at
e
d
M
ode
l
w
i
t
h
out
F
a
u
lt
R
es
pons
es
of
s
i
m
ul
at
i
o
n
m
odel
-
T
he i
nput
v
o
l
t
a
ges
and o
ut
p
ut
v
ol
t
ag
e,
c
ur
r
en
t
of
t
he
m
odel
i
s
s
ho
w
n
i
n
t
he
F
i
g
ur
e 2,
3 an
d 4
.
F
i
gur
e
2.
I
nput
V
o
l
t
age
F
i
gur
e
3.
O
ut
put
V
ol
t
ag
e
m
o
s
fe
t 1
r2
C
o
nt
i
nuo
us
po
w
e
r
gu
i
v
+
-
m
e
a
s
u
r
e
m
e
n
t
3
S
c
ope1
S
c
ope
a
b
c
A
B
C
R
L
C
L
o
a
d
g
m
D
S
g
m
D
S
m
a
k
D
i
o
d
e
4
m
a
k
D
i
o
d
e
3
m
a
k
D
i
o
d
e
2
m
a
k
D
i
o
d
e
1
i
+
-
C
u
r
r
e
n
t
M
e
a
s
u
r
e
m
e
n
t
2
i
+
-
C
u
r
r
e
n
t
M
e
a
s
u
r
e
m
e
n
t
1
i
+
-
C
u
r
r
e
n
t
M
e
a
s
u
r
e
m
e
n
t
A
C
V
o
l
t
a
g
e
2
3
+
2
+
1
g
m
D
S
2
g
m
D
S
1
g
m
D
S
g
m
D
S
1
+
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
EC
S
IS
S
N
:
2
502
-
4
752
T
ot
al
H
ar
mo
ni
c
D
i
s
t
or
t
i
on
a
t
F
aul
t
i
n R
C
L
Lo
ad
(
P
ank
aj
A
s
w
al
)
327
F
i
gur
e
4.
O
ut
put
C
ur
r
ent
F
i
gur
e 5.
T
H
D
w
i
t
hou
t
F
a
u
lt
T
he v
al
ue of
T
H
D
at
5
0H
z
c
o
m
es
out
t
o
be 7
5.
5
7.
4.
2.
N
o
G
at
e P
u
l
se
at
O
n
e
o
f th
e
S
i
x M
O
S
F
E
T
G
at
e
T
er
m
i
n
al
s
I
n t
h
i
s
c
as
e
t
he
l
ogi
c
ap
pl
i
ed
i
n
t
he
s
i
m
ul
at
i
o
n
i
s
t
o
m
a
k
e one of
t
he
s
i
x
m
os
f
et
g
at
e
pul
s
e
t
o
be
z
er
o.
I
n f
ac
t
,
her
e,
Mos
f
et
1
i
s
gr
o
und
e
d f
or
t
he
pur
p
os
e of
s
i
m
ul
at
i
o
n u
nder
t
he
s
pec
i
f
i
ed c
ond
i
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Evaluation Warning : The document was created with Spire.PDF for Python.
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SSN
:
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02
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J
E
EC
S
V
o
l.
4
,
N
o.
2,
N
o
v
em
ber
2016
:
325
–
3
32
328
F
i
gur
e 7.
G
r
ap
h at
z
er
o ga
t
e pu
l
s
e
T
he v
al
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T
H
D
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0 H
z
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3.
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l
o
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ff
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th
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aph
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
EC
S
IS
S
N
:
2
502
-
4
752
T
ot
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c
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329
F
i
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e 9.
T
H
D
w
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n
M
os
f
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l
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w
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of
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5
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gnal
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m
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S
g
m
D
S
1
+
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
25
02
-
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752
I
J
E
EC
S
V
o
l.
4
,
N
o.
2,
N
o
v
em
ber
2016
:
325
–
3
32
330
F
i
gur
e
11.
O
ne T
er
m
i
nal
G
r
ound
T
he v
al
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T
H
D
at
7
5.
51
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5
1.
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R
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2
9.
4
9.
6
9.
8
10
-5
0
0
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i
gnal
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.
F
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m
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5
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15
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21
22
23
24
25
26
27
8.6
19
29
40
50
10
15
20
25
30
35
P
r
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t
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d (
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al
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gn P
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14
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t
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S
t
d # 5 R
un # 16
X
1 =
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29
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b:
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H
D
=
23
8.
6
19
29
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50
20
21
22
23
24
25
26
27
P
r
e
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c
t
e
d (
T
H
D
)
A
:
F
r
equenc
y
(
H
z
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b
:
T
HD
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%
)
15
20
20
20
25
25
25
9
D
es
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gn-
E
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per
t
®
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t
w
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ac
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odi
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r
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al
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t
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gn P
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s
28
14
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r
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c
t
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)
=
14
S
t
d # 2 R
un # 1
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=
50
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20
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6
19
29
40
50
20
21
22
23
24
25
26
27
P
r
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t
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H
D
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A
:
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z
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15
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20
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25
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ands
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20
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27
A
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6
19
29
40
50
P
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t
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D
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10
15
20
25
30
35
2
4
2
3
2
I
n
t
er
ac
t
i
o
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
EC
S
IS
S
N
:
2
502
-
4
752
T
ot
al
H
ar
mo
ni
c
D
i
s
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or
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i
on
a
t
F
aul
t
i
n R
C
L
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(
P
ank
aj
A
s
w
al
)
331
T
abl
e
1
s
ho
w
s
t
he
pr
ed
i
c
t
ed v
al
u
e of
T
H
D
i
s
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14.
44
-
15)
t
he m
os
f
et
br
i
dge g
i
v
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t
he
bes
t
s
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t
ed r
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l
t
s
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m
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l
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es
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om
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0
-
27)
at
50H
z
f
r
eque
nc
y
t
h
e T
H
D
obt
a
i
ne
d
i
s
14.
44 t
he r
e
duc
t
i
on m
et
hod i
s
s
u
i
t
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bl
e
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i
ng
t
h
e ot
h
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ons
t
r
a
i
n
t
s
.
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abl
e 1.
T
he
P
r
ed
i
c
t
ed
V
a
l
ue of
T
H
D
F
ac
t
or
1
F
ac
t
or
2
R
es
pons
e 1
St
d
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r
oup
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n
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:
T
HD
P
r
edi
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t
ed
Hz
%
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HD
2
1
1
50
20
14
1
1
2
8.
6
20
28
16
2
3
29
23
25
14
2
4
29
23
27
15
2
5
29
23
28
12
3
6
0.
046
23
15
13
3
7
58
23
26
17
4
8
29
23
26
19
4
9
29
23
25
18
4
10
29
23
27
10
5
11
29
28
24
11
5
12
29
28
23
3
6
13
8.
6
27
28
4
6
14
50
27
15
7
7
15
29
23
26
5
7
16
29
23
25
6
7
17
29
23
24
9
8
18
29
18
25
8
8
19
29
18
26
5.
C
o
n
c
l
u
s
i
o
n
I
n
t
hi
s
s
t
ud
y
f
r
eque
nc
y
do
m
ai
n
anal
y
s
i
s
and
t
ot
a
l
har
m
oni
c
di
s
t
or
t
i
on
i
s
c
al
c
ul
at
ed
has
been
us
ed as
a t
oo
l
t
o d
i
s
c
r
i
m
i
nat
e di
f
f
er
ent
f
aul
t
s
t
at
e
s
.
T
he
f
r
equenc
y
r
es
p
ons
e
s
and T
H
D
f
or
di
f
f
er
ent
f
aul
t
c
ond
i
t
i
ons
ar
e s
t
udi
ed
and c
om
par
ed t
o i
d
e
nt
i
f
y
t
he
nat
ur
e of
f
aul
t
.
F
r
e
que
nc
y
r
es
pons
es
a
nd
T
H
D
und
er
f
our
di
f
f
er
ent
f
aul
t
c
ond
i
t
i
on
s
ar
e
pr
es
ent
e
d
i
n
t
h
i
s
pa
p
er
.
H
e
nc
e,
as
a s
t
ud
y
f
e
w
s
i
m
pl
e f
aul
t
c
ond
i
t
i
ons
ar
e
an
al
y
z
e
d
an
d ai
m
i
ng t
o us
e
t
he
s
am
e
appr
o
ac
h f
or
s
i
m
ul
at
i
ng
and
i
d
ent
i
f
y
i
n
g s
om
e
m
or
e c
o
m
pl
i
c
at
ed f
au
l
t
s
i
t
ua
t
i
o
ns
of
m
oder
n po
w
e
r
s
y
s
t
em
.
T
he opt
i
m
i
z
at
i
on
pr
oc
es
s
s
t
ar
t
s
f
r
o
m
a l
ar
ge ar
e
a
a
0
b
0
c
0
d
0
t
o a s
m
al
l
er
ar
e
a
a
1
b
1
c
1
d
1
and up t
o
v
er
y
s
m
al
l
ar
ea
a
n
b
n
c
n
d
n
,
w
h
i
c
h ar
e c
ons
i
d
er
ed as
a poi
n
t
s
ol
ut
i
on
.
I
n e
ac
h ar
ea m
us
t
be
ens
ur
e
d
t
hat
t
h
e
c
onv
er
gent
p
oi
n
t
t
o
be
i
n
i
t
.
I
t
i
s
s
t
at
ed
b
y
t
he
p
oi
nt
X
i
s
al
w
a
y
s
i
n
t
he
e
ac
h
of
t
he ar
eas
.
T
o
g
et
a
s
m
al
l
er
ar
ea
,
t
h
e pr
e
v
i
ous
ar
ea
i
s
di
v
i
ded
i
nt
o s
e
v
er
a
l
ar
eas
,
an
d
f
r
o
m
t
hem
i
s
det
er
m
i
ned
t
he
ar
e
a
w
i
t
h
t
h
e
s
m
al
l
es
t
obj
ec
t
i
v
e
v
a
l
ue
b
y
t
es
t
i
ng
a
f
e
w
po
i
nt
s
t
hat
ex
i
s
t
w
i
t
h
i
n e
ac
h ar
ea.
W
i
t
h t
he abo
v
e des
c
r
i
pt
i
o
n,
t
h
e C
F
S
m
et
hod i
s
abl
e t
o
w
or
k
i
n a v
ar
i
et
y
of
obj
ec
t
i
v
e f
unc
t
i
on of
op
t
i
m
i
z
at
i
on
pr
ob
l
em
s
,
w
he
t
her
di
f
f
er
ent
i
ab
l
e
or
no
t
,
s
uc
h as
s
t
ep f
unc
t
i
o
n.
R
ef
er
en
ces
[1
]
B
i
sw
a
s B
,
D
a
s S
.
C
ur
r
e
nt
H
ar
m
on
i
c
s
A
n
al
y
s
i
s
of
I
nv
er
t
er
-
F
ed I
ndu
c
t
i
o
n M
ot
or
D
r
i
v
e
S
y
s
t
em
under
F
aul
t
C
ond
i
t
i
ons
.
H
ong K
ong
.
2
009
;
2
:
18
-
20
.
[2
]
N
am
bur
i
,
B
ar
t
on
.
T
i
m
e
D
om
ai
n
R
es
pon
s
e
of
I
ndu
c
t
i
on
M
ot
or
s
w
i
t
h
P
W
M
S
uppl
i
e
s
.
I
EEE
T
ra
n
s
.
I
ndu
s
t
r
y
A
ppl
i
c
a
t
i
on
s
.
1985
;
(
I
A
-
21
)
:
2.
448
-
455
.
[3
]
S
un
L,
H
e
m
i
ng
H
L
.
A
na
l
y
s
i
s
o
n
t
he
t
r
a
ns
i
ent
o
f
s
t
at
or
-
r
ot
o
r
-
hy
br
i
d
f
au
l
t
i
n
s
q
ui
r
r
e
l
c
a
ge
i
n
duc
t
i
on
m
ot
or
s
.
P
r
oc
.
20
05
I
C
E
M
S
E
i
ght
h
I
nt
er
nat
i
ona
l
C
o
nf
er
e
nc
e
on E
l
ec
t
r
i
c
a
l
M
ac
hi
n
es
an
d
S
y
st
e
m
s.
2005;
(
3)
:
1
939
–
19
44.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
25
02
-
4
752
I
J
E
EC
S
V
o
l.
4
,
N
o.
2,
N
o
v
em
ber
2016
:
325
–
3
32
332
[4
]
B
l
odt
M
,
R
egni
er
J
.
F
au
l
t
I
nd
i
c
at
or
s
f
or
S
t
at
or
C
ur
r
ent
B
a
s
e
d D
et
ec
t
i
on of
T
or
que O
s
c
i
l
l
at
i
ons
i
n
I
ndu
c
t
i
o
n M
ot
or
s
at
V
ar
i
abl
e S
peed U
s
i
n
g T
i
m
e
-
F
r
eq
u
enc
y
A
nal
y
s
i
s
.
P
r
oc
.
T
he 3r
d I
E
T
I
nt
er
na
t
i
o
nal
C
o
nf
er
e
nc
e on P
ow
er
E
l
e
c
tr
on
i
c
s
,
M
ac
hi
n
es
an
d D
r
i
v
es
.
2006
;
56
-
60.
[5
]
Pe
re
i
ra
, L
A
,
da S
i
l
v
a G
az
z
ana G
,
and LF
A
D
,
Pe
re
i
r
a
.
M
ot
or
c
ur
r
en
t
s
i
gnat
ur
e an
al
y
s
i
s
and
f
u
z
z
y
l
ogi
c
app
l
i
ed t
o t
he di
agno
s
i
s
of
s
hor
t
-
c
i
r
c
ui
t
f
aul
t
s
i
n i
n
duc
t
i
on m
ot
or
s
.
P
r
oc
.
3
2nd A
nnual
C
onf
er
en
c
e
of
I
E
E
E
I
ndu
s
t
r
ia
l
E
l
ec
t
r
oni
c
s
S
oc
i
et
y
I
E
C
O
N
.
20
05;
6
[6
]
A
z
i
m
M
I
,
M
ohi
uddi
n
S
M
.
H
ar
m
oni
c
A
nal
y
s
i
s
of
a
S
i
ngl
e
P
has
e
M
odul
at
e
d
I
nv
er
t
er
.
I
n
d
ones
i
an
J
our
n
al
o
f
E
l
e
c
t
r
i
c
al
E
ng
i
neer
i
ng
an
d C
om
put
er
S
c
i
enc
e
.
201
6
;
2
(
3
):
6
07
-
6
16
[7
]
B
al
am
u
r
u
ga
n C
R
,
N
at
ar
aj
an
S
P
,
B
e
ns
r
a
j
R
.
E
l
uc
i
da
t
io
n o
f
V
a
r
i
ou
s
P
W
M
t
ec
h
ni
q
ues
f
o
r
a
M
odi
f
i
ed
M
ul
t
i
l
ev
el
I
nv
er
t
e
r
.
I
n
done
s
i
a
n
J
o
ur
nal
of
E
l
e
c
t
r
i
c
a
l
E
ngi
ne
er
i
n
g
and
C
om
put
er
S
c
i
enc
e
.
2016;
(
1
)3
.
Evaluation Warning : The document was created with Spire.PDF for Python.