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s
i
n
g
p
o
w
er
f
ilter
s
lik
e
p
as
s
iv
e
p
o
w
er
f
ilter
(
P
P
F),
ac
tiv
e
p
o
w
er
f
il
ter
(
A
P
F)
a
n
d
h
y
b
r
i
d
ac
tiv
e
p
o
w
er
f
il
ter
(
HA
P
F).
P
P
F
is
th
e
f
ir
s
t
t
y
p
e
o
f
f
i
lter
th
at
i
s
i
n
s
ta
lled
to
co
m
p
e
n
s
ate
c
u
r
r
en
t
h
ar
m
o
n
ic
s
.
T
h
e
P
P
F
p
r
o
v
id
es
th
e
ad
v
a
n
tag
e
s
o
f
s
i
m
p
le
an
d
co
s
t
e
f
f
e
ctiv
e.
Ho
w
e
v
er
,
th
e
P
P
F
is
d
esig
n
ed
to
co
m
p
en
s
at
e
ce
r
tain
o
r
d
er
o
f
h
ar
m
o
n
ic
s
,
w
h
ic
h
i
s
n
o
t
s
u
i
tab
le
f
o
r
v
ar
ia
b
le
lo
ad
s
.
Si
n
ce
t
h
e
ap
p
ea
l
o
f
p
o
w
er
elec
tr
o
n
ic
(
P
E
)
d
ev
ices
in
th
e
P
S,
P
P
F
b
ec
am
e
le
s
s
e
f
f
ec
tiv
e
d
u
e
to
th
e
P
E
d
ev
ices
g
en
er
ati
n
g
m
o
r
e
co
m
p
le
x
h
ar
m
o
n
ic
s
[
1
1
]
,
th
er
ef
o
r
e
A
P
F
is
d
esig
n
ed
to
o
v
er
co
m
e
th
e
d
r
aw
b
ac
k
o
f
P
P
F
[
1
2
]
.
A
lt
h
o
u
g
h
,
A
P
F
p
r
o
v
id
es
g
o
o
d
h
ar
m
o
n
ic
co
m
p
e
n
s
at
io
n
b
u
t
th
e
co
s
t
is
e
x
p
en
s
i
v
e
b
ec
au
s
e
it
r
eq
u
ir
es
a
h
ig
h
v
alu
e
o
f
th
e
DC
-
l
in
k
ca
p
ac
ito
r
.
T
h
er
ef
o
r
e,
HA
P
F
co
m
b
i
n
at
io
n
o
f
P
P
F
an
d
A
P
F
is
d
esi
g
n
ed
,
w
h
ich
co
n
s
i
s
ts
b
o
th
ad
v
an
ta
g
es
o
f
P
P
F
an
d
AP
F.
HA
P
F
ca
n
co
m
p
en
s
ate
w
i
d
e
r
an
g
e
o
f
h
ar
m
o
n
ics
w
i
th
t
h
e
co
s
t
ch
ea
p
er
th
an
A
P
F b
u
t
h
i
g
h
er
t
h
an
P
P
F [
1
3
]
,
[
1
4
]
.
T
h
is
p
ap
er
s
h
o
w
s
t
h
e
e
x
p
er
im
en
tal
e
v
alu
a
tio
n
o
f
P
Q
is
s
u
es
at
QU
C
E
ST
ca
m
p
u
s
b
y
u
s
in
g
p
o
w
er
q
u
alit
y
an
a
l
y
s
er
(
P
QA
)
.
A
s
i
m
u
latio
n
an
al
y
s
is
o
f
a
t
h
r
ee
-
p
h
ase
s
y
s
te
m
o
f
QUCE
ST
w
i
ll
b
e
ca
r
r
ied
o
u
t
b
y
u
s
i
n
g
M
A
T
L
A
B
/SIM
U
L
I
NK
b
ased
o
n
th
e
o
b
s
er
v
atio
n
s
.
Me
asu
r
e
m
en
t
s
w
er
e
co
n
d
u
c
ted
b
y
u
s
i
n
g
P
Q
A
at
t
h
e
p
o
in
t
o
f
co
m
m
o
n
co
u
p
li
n
g
(
P
C
C
)
o
f
tr
a
n
s
f
o
r
m
er
s
ec
o
n
d
ar
y
ter
m
i
n
al
s
,
co
n
n
ec
ti
n
g
to
lo
ad
.
A
cc
o
r
d
in
g
to
t
h
e
co
llected
d
ata
b
y
P
QA
,
i
t
s
h
o
w
s
th
a
t
th
e
P
S
is
f
ac
i
n
g
h
i
g
h
cu
r
r
en
t
h
ar
m
o
n
ics
a
n
d
u
n
b
alan
ce
d
lo
ad
co
n
d
itio
n
d
u
e
to
th
e
n
o
n
-
lin
ea
r
lo
ad
s
co
n
n
ec
ted
.
T
h
e
s
i
m
u
latio
n
m
o
d
el
o
f
QUCEST
ca
m
p
u
s
f
u
n
c
tio
n
s
to
p
r
o
v
id
e
th
e
s
i
m
ilar
w
a
v
ef
o
r
m
s
a
n
d
h
ar
m
o
n
ic
s
p
ec
tr
u
m
o
f
ea
c
h
p
h
a
s
e
o
f
th
e
tr
a
n
s
f
o
r
m
er
.
T
h
is
s
i
m
u
lat
io
n
m
o
d
el
w
i
ll
u
s
e
as
th
e
te
s
ti
n
g
m
o
d
el
f
o
r
p
o
w
er
f
ilter
in
o
r
d
er
to
f
in
d
o
u
t
t
h
e
b
est
cu
r
r
en
t
h
ar
m
o
n
ic
s
s
o
l
u
tio
n
f
o
r
QUCEST
ca
m
p
u
s
.
2.
CASE
S
T
UD
Y
–
Q
UC
E
S
T
CAM
P
US
QUCEST
is
f
ed
b
y
t
w
o
p
o
w
e
r
s
u
p
p
lies
,
w
h
ic
h
ar
e
Su
k
k
u
r
E
lectr
ic
P
o
w
er
C
o
m
p
a
n
y
(
SE
P
C
O)
an
d
d
iesel
g
e
n
er
ato
r
s
(
s
ta
n
d
b
y
)
.
B
o
th
th
e
s
e
s
u
p
p
lies
ar
e
co
u
p
led
w
i
th
a
u
to
m
ated
tr
an
s
f
er
s
w
itc
h
(
A
T
S)
w
i
th
4
0
0
k
VA
tr
a
n
s
f
o
r
m
er
a
n
d
p
o
w
er
is
d
r
a
w
n
f
r
o
m
6
0
0
A
cir
c
u
it
b
r
ea
k
er
,
co
n
n
ec
tin
g
to
t
h
e
w
h
o
le
ca
m
p
u
s
as
s
h
o
w
n
i
n
Fig
u
r
e
1
.
T
h
e
te
s
ti
n
g
is
m
ad
e
at
t
h
e
s
ec
o
n
d
ar
y
o
f
t
h
e
tr
an
s
f
o
r
m
er
p
an
el
w
i
th
P
Q
A
.
Har
m
o
n
i
c
v
o
ltag
e
s
an
d
cu
r
r
e
n
ts
ar
e
th
e
i
n
teg
r
al
m
u
ltip
les o
f
th
e
f
u
n
d
a
m
en
tal
f
r
eq
u
e
n
c
y
(
5
0
Hz
in
P
ak
is
ta
n
)
.
Fig
u
r
e
1
.
B
lo
ck
Diag
r
a
m
o
f
t
h
e
T
esti
n
g
S
y
s
te
m
T
ab
le
1
d
ep
icts
th
e
test
ed
r
esu
lt
s
o
f
th
r
ee
-
p
h
a
s
e
(
R
YB
)
in
co
m
i
n
g
o
f
th
e
tr
an
s
f
o
r
m
er
.
Fro
m
th
e
co
llected
d
ata,
it
s
h
o
w
s
t
h
at
th
e
tr
an
s
f
o
r
m
er
is
i
n
an
u
n
b
alan
ce
d
co
n
d
itio
n
.
Fo
r
an
id
ea
l
co
n
d
itio
n
,
th
r
ee
p
h
ases
o
f
th
e
tr
a
n
s
f
o
r
m
er
lo
ad
in
g
h
ad
to
b
e
s
a
m
e,
b
u
t
f
o
r
p
r
ac
tical,
th
e
v
ar
iatio
n
b
et
w
ee
n
ea
ch
p
h
ase
m
u
s
t
n
o
t
ex
ce
ed
1
0
%
[
1
5
]
.
T
h
is
u
n
b
al
an
ce
d
lo
ad
co
n
d
itio
n
m
i
g
h
t
b
e
th
e
ef
f
ec
t
o
f
t
h
e
co
n
n
ec
ted
n
o
n
-
lin
ea
r
lo
ad
s
s
u
ch
as
co
m
p
u
ter
s
,
air
co
n
d
itio
n
er
s
co
n
tr
o
ls
e
tc.
b
ec
au
s
e
n
o
n
-
li
n
ea
r
b
eh
av
io
u
r
w
ill
ca
u
s
e
p
o
wer
l
o
s
s
es
i
n
t
h
e
P
S.
An
u
n
b
ala
n
ce
lo
ad
to
th
r
ee
p
h
ase
s
o
f
t
h
e
tr
an
s
f
o
r
m
er
r
es
u
l
ts
a
h
i
g
h
lin
e
c
u
r
r
en
t
i
n
o
n
e
o
r
t
w
o
p
h
ases
.
T
h
e
h
ig
h
c
u
r
r
en
t
in
t
w
o
p
h
ase
s
ca
n
li
m
it
th
e
tr
a
n
s
f
o
r
m
er
ca
p
ac
i
t
y
,
w
h
ich
m
ea
n
s
a
tr
an
s
f
o
r
m
e
r
r
ated
1
0
0
0
k
VA
m
a
y
d
eliv
er
o
n
l
y
7
5
0
k
V
A
o
r
less
.
T
h
er
ef
o
r
e,
th
e
u
n
b
ala
n
ce
d
lo
ad
at
tr
an
s
f
o
r
m
er
m
a
y
ca
u
s
e
tr
a
n
s
f
o
r
m
er
lo
s
s
es a
n
d
h
ea
ti
n
g
i
n
it
s
w
in
d
i
n
g
[
1
6
]
.
Vo
ltag
e
an
d
c
u
r
r
en
t
w
a
v
e
f
o
r
m
s
o
f
R
YB
p
h
a
s
es
ar
e
s
h
o
w
n
in
Fi
g
u
r
e
2
.
T
h
e
T
HD
o
f
v
o
lta
g
e
(
T
HD
V
)
o
f
ea
ch
p
h
a
s
e
is
le
s
s
t
h
an
th
e
s
tan
d
ar
d
v
al
u
e
s
t
ated
b
y
I
E
E
E
-
5
1
9
(
T
HD
V
≤
8
%).
T
h
er
ef
o
r
e,
th
e
v
o
lta
g
e
w
a
v
e
f
o
r
m
s
ar
e
n
o
t
d
is
to
r
ted
a
n
d
n
o
t
h
ar
m
f
u
l
to
th
e
P
S.
T
h
e
cu
r
r
en
t
T
HD
(
T
HD
I
)
o
n
R
YB
p
h
ases
ar
e
8
.
9
%,
1
7
.
5
%
an
d
1
0
.
1
%,
r
esp
ec
ti
v
el
y
,
w
h
ich
is
g
r
ea
ter
th
a
n
t
h
e
s
tan
d
ar
d
v
a
lu
e
s
o
t
h
e
c
u
r
r
en
t
w
a
v
e
f
o
r
m
s
ar
e
co
m
p
lete
l
y
d
is
to
r
ted
an
d
h
ar
m
f
u
l
w
h
e
n
co
n
n
ec
ted
to
th
e
P
S.
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
.
4
,
Dec
em
b
er
2
0
1
7
:
1
8
7
6
–
1
8
8
5
1878
T
ab
le
1
.
T
r
an
s
f
o
r
m
er
in
co
m
in
g
R
YB
p
h
ase
s
test
ed
r
es
u
lt
s
with
P
Q
A
P
h
a
se
R
e
d
(
R
)
Y
e
l
l
o
w
(
Y
)
B
l
u
e
(
B
)
V
r
ms (
V
)
2
3
4
.
7
2
3
1
.
1
2
3
6
.
3
%
T
H
D
V
0
.
8
1
.
2
0
.
8
I
r
ms (
A
)
1
7
0
.
2
1
3
6
.
8
1
0
4
.
0
%
T
H
D
I
8
.
9
1
7
.
5
1
0
.
1
A
c
t
i
v
e
p
o
w
e
r
(
k
W
)
3
8
.
7
31
2
3
.
4
R
e
a
c
t
i
v
e
p
o
w
e
r
(
k
V
A
R
)
8
.
4
8
.
2
6
.
4
A
p
p
a
r
e
n
t
p
o
w
e
r
(
k
V
A
)
3
9
.
6
32
2
4
.
2
Fig
u
r
e
3
s
h
o
w
s
th
e
M
A
T
L
A
B
s
i
m
u
latio
n
m
o
d
el
o
f
QU
C
E
ST
ca
m
p
u
s
an
d
T
ab
le
2
is
th
e
lo
ad
p
ar
am
eter
s
o
f
th
e
s
i
m
u
latio
n
m
o
d
el.
T
h
e
s
i
m
u
latio
n
m
o
d
el
p
ar
a
m
eter
s
ar
e
s
et
ac
co
r
d
in
g
to
th
e
ac
tu
a
l
tes
t
ca
s
e.
P
ar
am
eter
s
o
f
t
h
e
r
ea
l
s
y
s
te
m
w
er
e
o
b
tain
ed
b
y
u
s
in
g
P
QA
.
T
h
e
lo
ad
s
ar
e
f
ed
b
y
th
e
th
r
ee
-
p
h
a
s
e
p
o
w
er
s
u
p
p
l
y
f
r
o
m
a
d
elta
-
s
tar
tr
an
s
f
o
r
m
er
.
T
h
e
s
i
m
u
latio
n
m
o
d
el
m
ain
p
u
r
p
o
s
e
is
to
g
et
a
s
i
m
ilar
r
esu
lt
o
f
th
e
test
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P
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1885
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[1
]
M
.
Uc
a
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Oz
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ir,
"
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[3
]
H.
F
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[4
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O.
K.
Ig
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A
.
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S
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n
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[5
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C.
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,
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lu
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to
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.
,
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[8
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Da
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ters
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p
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stry
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[9
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K.
S
a
k
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.
K.
Da
s,
a
n
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Kin
i,
"
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r
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0
]
R.
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a
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ll
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a
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.
Tes
ta,
"
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s,"
2
0
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4
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1
]
A
.
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A
b
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laz
iz,
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t
a
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,
"
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2
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3
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2
]
D.
M
.
S
o
o
m
ro
,
M
.
Om
ra
n
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a
n
d
S
.
A
ls
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sig
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s,"
2
0
1
5
.
[1
3
]
S.
-
I.
Ho
,
C.
-
S
.
L
a
m
a
n
d
M
.
-
C.
W
o
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g
,
"
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m
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n
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in
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5
IEE
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0
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n
c
e
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2
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1
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,
p
p
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1
-
6.
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4
]
D.
Do
b
a
riy
a
a
n
d
P
.
Up
a
d
h
y
a
y
,
"
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imu
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twee
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ter
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lt
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r,"
i
n
2
0
1
5
In
tern
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n
a
l
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tro
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a
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m
m
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d
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iza
ti
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n
(
EE
S
CO),
2
0
1
5
.
[1
5
]
B.
Ra
g
h
a
v
a
iah
a
n
d
M
.
A
g
ra
wa
l,
"
S
T
L
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u
id
e
to
In
terp
re
tatio
n
o
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tan
d
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IEC:
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0
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6
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o
u
rn
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In
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8
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p
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.
[1
6
]
A
.
Nja
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i,
I.
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