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I
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HF
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ig
n
[
1
3
]
.
MA
T
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/SIM
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AL
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[
18
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.
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d
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I
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4
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2
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5
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3.
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RO
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u
r
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4
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h
a
s
b
ee
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ev
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ated
in
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ce
[
1
9
]
.
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[
2
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s
p
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[
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9
]
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[
2
1
]
,
th
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cu
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en
t
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as
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n
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it 1
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d
2
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n
b
e
ex
p
r
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ed
as:
1
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√
3
[
c
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11
c
os
11
+
1
13
c
os
13
−
1
23
c
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25
c
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25
−
⋯
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(
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[
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11
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13
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os
13
−
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23
c
os
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25
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os
25
−
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(
3
)
T
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r
r
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ts
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in
t
h
e
ter
tiar
y
w
i
n
d
in
g
s
o
f
u
n
it 1
an
d
2
r
esp
ec
tiv
el
y
e
x
p
r
ess
ed
as:
12
=
4
√
3
[
1
c
os
(
+
6
)
−
{
−
11
11
c
os
(
11
−
6
)
+
13
13
c
os
(
13
+
6
)
−
23
23
c
os
(
23
−
6
)
+
25
25
c
os
(
25
+
6
)
−
⋯
}
]
(
4
)
22
=
4
√
3
[
1
c
os
(
+
6
)
−
{
11
11
c
os
(
11
−
6
)
−
13
13
c
os
(
13
+
6
)
−
23
23
c
os
(
23
−
6
)
+
25
25
c
os
(
25
+
6
)
−
⋯
}
]
(
5
)
T
h
e
cu
r
r
en
t p
ass
i
n
g
i
n
t
h
e
p
ar
allel
lin
k
is
o
b
tain
ed
b
y
ad
d
in
g
(
3
)
an
d
(
4
)
,
w
h
ich
y
ield
s
to
:
3
=
12
+
22
=
8
√
3
[
1
c
os
(
+
6
)
+
23
23
c
os
(
23
−
6
)
−
25
25
c
os
(
25
+
6
)
−
⋯
]
(
6
)
I
n
th
e
p
r
o
ce
ed
in
g
eq
u
atio
n
s
,
th
e
co
ef
f
icie
n
ts
k
i
(
i
=
1
,
2
,
3
,
.
.
.
)
ca
n
b
e
a
p
p
r
o
x
im
ated
to
u
n
it
y
as
d
is
cu
s
s
ed
b
y
[
9
]
:
12
±
1
≈
1
(
7
)
T
h
er
ef
o
r
e,
eq
u
atio
n
(
5
)
ca
n
b
e
s
i
m
p
li
f
ied
as:
3
=
[
1
c
os
(
+
6
)
+
1
23
c
os
(
23
−
6
)
−
1
25
c
os
(
25
+
6
)
−
⋯
]
(
8
)
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
A
N
ew A
lu
min
u
m
P
o
t Lin
e
R
ec
tifo
r
mer S
ch
eme
w
ith
E
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Ha
r
mo
n
ic
....
(
Ma
h
mo
o
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A
l
-
Ma
h
a
r
i)
1577
Fig
u
r
e
4
.
P
DC
s
ch
e
m
e
o
f
2
4
p
u
ls
e
s
y
s
te
m
A
cc
o
r
d
in
g
to
(
8
)
,
th
e
p
ar
all
el
lin
k
s
co
n
n
ec
tin
g
t
h
e
ter
ti
ar
y
d
elta
w
i
n
d
in
g
s
ca
n
el
i
m
i
n
ate
t
h
e
h
ar
m
o
n
ics
o
f
o
r
d
er
1
2
n
±
1
(
n
=1
,
3
,
5
.
.
.
)
w
h
ic
h
f
lo
w
o
u
t
o
f
t
h
e
ter
tiar
y
d
elta
w
i
n
d
i
n
g
s
.
T
h
er
ef
o
r
e,
th
e
h
ar
m
o
n
ic
f
ilter
s
h
all
b
e
tu
n
ed
to
tar
g
et
th
e
2
4
n
±
1
o
r
d
e
r
s
.
W
ith
o
u
t
th
e
P
HF
co
n
n
ec
ted
,
th
e
h
ar
m
o
n
ics
o
f
o
r
d
er
2
4
n
±
1
(
n
=1
,
2
,
3
.
.
.
)
w
ill
b
e
p
r
ese
n
ted
in
(
I
P1
)
an
d
(
I
P2
)
,
w
h
ic
h
m
ea
n
s
th
a
t
t
h
e
d
o
m
in
a
n
t
c
h
ar
ac
te
r
is
tic
h
ar
m
o
n
ics
o
f
th
e
1
2
-
p
u
ls
e
u
n
it
(
1
1
th
an
d
1
3
th
)
w
ill
n
o
t
f
lo
w
i
n
to
t
h
e
r
e
g
u
la
tin
g
tr
a
n
s
f
o
r
m
er
e
v
e
n
wh
en
th
e
P
HF
is
n
o
t
co
n
n
ec
ted
.
4.
M
AT
L
AB
SI
M
UL
I
NK
SI
M
UL
A
T
I
O
NS
4
.
1
.
P
DC
M
o
del
T
h
e
P
DC
s
ch
e
m
e
i
s
s
i
m
u
la
ted
u
s
i
n
g
t
h
e
M
A
T
L
A
B
/SI
MU
L
I
NK
en
v
ir
o
n
m
e
n
t.
T
h
e
s
i
m
u
la
tio
n
m
o
d
ell
in
g
o
f
th
e
P
DC
s
c
h
e
m
e
is
p
r
esen
ted
i
n
Fi
g
u
r
e
5
.
T
h
e
elec
tr
ical
p
ar
a
m
eter
s
o
f
th
e
s
i
m
u
lated
s
y
s
te
m
ar
e
p
r
o
v
id
ed
in
T
a
b
le
1
,
w
h
ich
i
s
o
b
tain
ed
f
r
o
m
th
e
ac
t
u
al
p
r
o
p
o
s
ed
d
ata
f
o
r
A
L
B
A
P
L
6
u
n
its
.
I
t
is
i
m
p
o
r
tan
t
th
at
t
h
e
p
h
ase
s
h
i
f
t b
et
w
ee
n
th
e
t
w
o
u
n
it i
s
eq
u
al
to
[
2
2
]
:
Pha
s
e
s
hift
=
60
N
umb
e
r
of
c
on
ve
r
te
r
s
=
360°
N
umb
e
r
of
pul
s
e
s
=
15
°
w
h
er
e,
th
e
n
u
m
b
er
o
f
co
n
v
er
ter
s
is
4
an
d
th
e
n
u
m
b
er
o
f
p
u
ls
es is
2
4
.
T
ab
le
1
.
E
lectr
ical
P
ar
am
eter
o
f
t
h
e
S
y
s
te
m
M
a
i
n
S
u
p
p
l
y
S
o
u
r
c
e
K
V
=
2
2
0
H
z
=
5
0
M
V
A
sc
=
8
0
0
0
X
/
R
=
2
4
U
n
d
e
r
G
r
o
u
n
d
C
a
b
l
e
R
=
4
0
µ
Ω
/
m
L
=
6
3
6
µ
H
/
m
C
=
0
.
2
1
µ
F
/
m
L
=
1
0
0
m
R
e
g
u
l
a
t
i
n
g
T
r
a
n
sf
o
r
me
r
YY∆
M
V
A
=
2
3
0
K
V
s =
9
5
K
V
p
=
2
2
0
K
V
t
=
2
8
L
p
=
4
7
.
5
mH
L
s =
1
0
.
5
mH
L
t
=
0
.
5
6
µ
H
R
e
c
t
i
f
i
e
r
T
r
a
n
sf
o
r
me
r
Z
Y
∆
M
V
A
=
2
x
1
1
5
K
V
p
=
9
5
K
V
s=
1
.
3
9
P
h
a
se
S
h
i
f
t
=
±
7
.
5
°
P
H
F
M
V
a
r
=
4
0
T
u
n
i
n
g
H
z
=
1
2
0
0
Q
=
2
0
K
V
=
2
8
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
.
4
,
Dec
em
b
er
2
0
1
8
:
1573
–
1
5
8
3
1578
Fig
u
r
e
5
.
MA
T
L
A
B
SIM
U
L
I
NK
m
o
d
el
o
f
P
DC
2
4
p
u
ls
e
s
y
s
te
m
4
.
2
.
P
DC
Sche
m
e
S
i
m
ula
t
io
n Re
s
ults
Fig
u
r
e
6
s
h
o
w
s
t
h
e
s
i
m
u
latio
n
r
es
u
lt
o
f
p
h
a
s
e
A
p
r
i
m
ar
y
c
u
r
r
en
t
o
f
u
n
i
t
1
(
I
P1
)
w
h
ile
t
h
e
p
ar
allel
lin
k
le
f
t
o
p
en
cir
cu
ited
.
I
n
t
h
is
ca
s
e,
th
e
c
u
r
r
en
t
T
HD
is
5
.
7
%
d
u
e
to
t
h
e
p
r
esen
ce
o
f
ch
ar
ac
ter
is
tic
h
ar
m
o
n
ics
1
2
n
±
1
(
n
=
1
,
2
,
3
…)
.
Fig
u
r
e
7
s
h
o
w
s
t
h
e
s
a
m
e
cu
r
r
en
t
w
it
h
p
ar
allel
lin
k
clo
s
ed
.
I
n
t
h
is
c
a
s
e
,
th
e
cu
r
r
e
n
t
T
HD
r
ed
u
ce
d
to
0
.
7
8
%
b
ec
au
s
e
t
h
e
h
ar
m
o
n
ic
s
o
f
o
r
d
er
1
2
n
±
1
(
n
=1
,
3
,
5
.
.
.
)
h
av
e
b
ee
n
e
li
m
i
n
ated
.
T
h
e
P
h
ase
A
cu
r
r
en
t
o
f
t
h
e
p
ar
allel
li
n
k
s
h
o
w
n
i
n
Fi
g
u
r
e
8
,
is
b
as
icall
y
ca
r
r
y
i
n
g
t
h
e
h
ar
m
o
n
ics
o
r
d
er
o
f
1
2
n
±
1
(
n
=1
,
3
,
5
.
.
.
)
as
d
escr
ib
ed
in
(
6
)
.
W
ith
th
e
P
HF
tu
n
ed
as
p
er
(
8
)
an
d
co
n
n
ec
ted
as
s
h
o
w
n
in
Fi
g
u
r
e
5
to
tar
g
et
th
e
23
rd
an
d
25
th
h
ar
m
o
n
ic
o
r
d
er
s
,
p
h
ase
A
p
r
i
m
ar
y
cu
r
r
e
n
t
of
u
n
it
1
i
s
al
m
o
s
t
f
r
ee
f
r
o
m
h
ar
m
o
n
ic
s
w
it
h
T
HD
eq
u
al
to
0
.
0
6
% a
s
s
h
o
w
n
i
n
F
ig
u
r
e
9.
F
u
r
th
er
m
o
r
e,
i
t c
a
n
b
e
clea
r
l
y
s
ee
n
f
r
o
m
F
ig
u
r
e
10
th
a
t
P
HF
p
h
ase
A
c
u
r
r
en
t
(
I
3
)
is
ca
r
r
y
in
g
h
ar
m
o
n
ics o
f
o
r
d
er
2
3
rd
an
d
2
5
th
as d
is
cu
s
s
ed
in
(
8
)
.
Fig
u
r
e
6
.
P
h
ase
A
p
r
i
m
ar
y
cu
r
r
en
t o
f
u
n
it 1
w
it
h
p
ar
allel
lin
k
o
p
en
Fig
u
r
e
7
.
P
h
ase
A
p
r
i
m
ar
y
cu
r
r
en
t o
f
u
n
it 1
w
it
h
p
ar
allel
lin
k
clo
s
e
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
A
N
ew A
lu
min
u
m
P
o
t Lin
e
R
ec
tifo
r
mer S
ch
eme
w
ith
E
ffecti
ve
Ha
r
mo
n
ic
....
(
Ma
h
mo
o
d
A
l
-
Ma
h
a
r
i)
1579
Fig
u
r
e
8
.
P
h
ase
A
p
ar
allel
li
n
k
cu
r
r
en
t
F
ig
u
r
e
9
.
P
h
ase
A
p
r
i
m
ar
y
cu
r
r
en
t to
u
n
it 1
w
it
h
P
HF
co
n
n
ec
ted
Fig
u
r
e
1
0
.
P
h
ase
A
P
HF c
u
r
r
en
t
Fig
u
r
e
1
1
.
I
m
p
ed
an
ce
ch
ar
ac
t
er
is
tic.
(
a)
P
HF
i
m
p
ed
an
ce
ch
ar
ac
ter
i
s
tic,
(
b
)
im
p
ed
a
n
ce
ch
ar
ac
ter
is
tic
at
P
C
C
T
h
e
r
ea
ctiv
e
p
o
w
er
s
u
p
p
lied
b
y
th
e
P
HF
ca
n
b
e
ch
ec
k
ed
b
y
ap
p
ly
i
n
g
th
e
i
m
p
ed
an
ce
ch
ar
a
cter
is
tic
to
th
e
P
HF
w
h
ile
it
i
s
n
o
t
co
n
n
e
cted
to
th
e
s
y
s
te
m
.
T
h
e
i
m
p
ed
an
ce
c
h
ar
ac
ter
is
tic
o
f
t
h
e
P
HF
alo
n
e
i
s
s
h
o
w
n
in
Fig
u
r
e
11
(
a
)
.
T
h
e
r
ea
ctiv
e
p
o
w
er
at
t
h
e
f
u
n
d
a
m
e
n
tal
f
r
eq
u
e
n
c
y
i
s
eq
u
al
to
:
M
va
r
=
V
2
Z
=
(
28k
)
2
19
.
6
=
40
P
ar
allel
r
eso
n
an
t
ca
n
b
e
o
b
s
er
v
ed
at
P
C
C
d
u
e
to
s
o
u
r
ce
im
p
ed
an
ce
an
d
o
th
er
ap
p
a
r
atu
s
in
th
e
s
y
s
te
m
as
s
h
o
w
n
i
n
Fi
g
u
r
e
11
(
b
)
.
T
h
is
is
o
n
e
o
f
th
e
d
r
a
w
b
ac
k
o
f
u
s
i
n
g
P
HF.
Ho
w
e
v
er
,
r
eso
n
a
n
ce
w
ill
n
o
t
ca
u
s
e
h
ar
m
o
n
ics
a
m
p
lific
atio
n
i
n
th
e
s
tu
d
y
s
y
s
te
m
b
ec
a
u
s
e
t
h
e
g
e
n
er
ated
h
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4
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.
3
.
Co
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t
h
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p
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u
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t
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s
t
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ated
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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
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4
,
Dec
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0
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:
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h
e
m
e,
th
e
P
HF is d
ir
e
ctl
y
co
n
n
ec
ted
to
th
e
h
ig
h
v
o
lt
ag
e
f
ee
d
i
n
g
b
u
s
.
T
ab
le
2
.
Su
m
m
er
y
C
o
m
p
ar
is
o
n
b
et
w
ee
n
C
o
n
v
en
t
io
n
al,
A
BA
P
L
6
an
d
P
DC
Sc
h
e
m
e
5.
CO
NCLU
SI
O
N
A
p
r
o
p
o
s
ed
P
DC
s
ch
e
m
e
o
f
2
4
-
p
u
ls
e
s
y
s
te
m
h
a
s
b
ee
n
s
u
cc
es
s
f
u
ll
y
m
o
d
eled
an
d
s
i
m
u
lated
i
n
MA
T
L
A
B
/SIM
U
L
I
NK
e
n
v
ir
o
n
m
e
n
t.
T
h
e
p
er
f
o
r
m
an
ce
o
f
t
h
e
s
ch
e
m
e
is
ev
al
u
ated
b
y
s
h
o
w
i
n
g
th
e
h
ar
m
o
n
ic
co
n
ten
t
s
o
f
u
n
it
1
,
p
ar
allel
li
n
k
a
n
d
P
HF
cu
r
r
en
ts
.
T
h
e
p
ar
allel
lin
k
h
as
ef
f
ec
ti
v
el
y
tr
ap
p
ed
th
e
tar
g
eted
h
ar
m
o
n
ic
o
r
d
er
s
w
h
ic
h
h
a
s
r
ed
u
ce
d
th
e
T
HD
in
th
e
p
r
i
m
ar
y
cu
r
r
en
t
o
f
t
h
e
r
eg
u
lati
n
g
tr
an
s
f
o
r
m
er
to
less
th
a
n
1
%.
I
n
ad
d
itio
n
,
th
e
p
r
o
p
o
s
ed
alu
m
in
u
m
p
o
t
lin
e
R
ec
ti
f
o
r
m
er
s
ch
e
m
e
s
h
o
w
s
h
ig
h
ca
p
ab
il
it
y
o
f
r
ed
u
c
in
g
t
h
e
o
v
er
all
d
is
to
r
tio
n
lev
el
s
at
PC
C
as
w
ell
as
at
ea
ch
u
n
it
ter
m
in
a
l
at
N
o
p
er
atin
g
co
n
d
iti
o
n
w
h
ic
h
r
ep
r
esen
t
al
m
o
s
t
80
%
o
f
t
h
e
y
ea
r
.
C
o
m
p
ar
is
o
n
o
f
t
h
e
p
r
o
p
o
s
ed
s
ch
em
e
w
it
h
co
n
v
e
n
tio
n
al,
a
n
d
AL
B
A
P
L
6
h
a
s
b
ee
n
d
is
cu
s
s
ed
in
ter
m
s
o
f
h
ar
m
o
n
ic
atte
n
u
atio
n
ca
p
ab
ilit
y
,
o
p
er
atio
n
f
le
x
ib
ilit
y
,
c
o
s
t
an
d
s
p
ac
e
r
eq
u
ir
em
e
n
ts
.
On
l
y
h
al
f
o
f
t
h
e
n
u
m
b
er
o
f
t
h
e
P
HF
is
r
eq
u
ir
ed
i
n
t
h
e
p
r
o
p
o
s
ed
P
DC
s
c
h
e
m
e
as
co
m
p
ar
e
d
to
th
e
AL
B
A
P
L
6
s
ch
e
m
e.
T
u
n
i
n
g
t
h
e
P
HF
to
ta
r
g
et
11
th
an
d
1
3
th
h
ar
m
o
n
ic
o
r
d
er
is
n
o
t
r
eq
u
ir
ed
in
th
e
p
r
o
p
o
s
ed
s
ch
e
m
e
w
h
e
n
it
is
r
u
n
n
i
n
g
u
n
d
er
N
o
p
er
a
tin
g
co
n
d
itio
n
d
u
e
to
t
h
e
p
r
esen
ce
o
f
th
e
p
ar
allel
l
in
k
s
b
et
w
ee
n
ad
j
ac
en
t
R
ec
ti
f
o
r
m
er
u
n
it
s
.
ACK
NO
WL
E
D
G
E
M
E
NT
S
T
h
e
au
t
h
o
r
s
w
o
u
ld
li
k
e
to
th
a
n
k
A
l
u
m
in
u
m
B
a
h
r
ain
(
AL
B
A
)
f
o
r
t
h
eir
s
u
p
p
o
r
t
i
n
t
h
is
r
es
ea
r
ch
w
o
r
k
an
d
f
o
r
p
r
o
v
id
in
g
t
h
e
r
eq
u
ir
ed
ac
tu
al
s
y
s
te
m
d
ata.
RE
F
E
R
E
NC
E
S
[1
]
D.
V
e
n
k
a
tas
u
b
ra
m
a
n
ian
a
n
d
S
.
P
.
Na
tara
jan
,
“
A
n
a
l
y
sis
o
f
H
a
r
m
o
n
ics
a
n
d
Rip
p
le
Cu
rre
n
t
i
n
M
u
lt
i
-
m
o
d
u
le
Co
n
v
e
rters
w
it
h
In
c
re
a
sin
g
Nu
m
b
e
r
o
f
M
o
d
u
les
f
o
r
Hig
h
P
o
w
e
r
A
p
p
li
c
a
ti
o
n
s,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m (
IJ
PE
DS
)
,
v
ol
/i
ss
u
e
:
7
(
4
)
,
p
p
.
1
4
0
2
-
1
4
0
9
,
2
0
1
6
.
[2
]
M
.
Zh
i
h
e
n
g
,
e
t
a
l
.
,
“
Ha
rm
o
n
ic
a
n
a
l
y
sis
a
n
d
si
m
u
latio
n
o
f
m
u
lt
i
-
p
u
lse
re
c
ti
f
iers
a
p
p
li
e
d
in
e
lec
tro
ly
sis
in
d
u
stry
,
”
IEE
E
In
d
u
stry
Ap
p
li
c
a
t
io
n
s
S
o
c
iety
A
n
n
u
a
l
M
e
e
ti
n
g
,
2
0
1
4
.
[3
]
Ra
jes
h
T
.
a
n
d
Nirm
a
lk
u
m
a
r
A
.
,
“
A
S
h
u
n
t
A
c
ti
v
e
P
o
w
e
r
F
il
ter
f
o
r
1
2
P
u
lse
Co
n
v
e
rter
Us
in
g
S
o
u
rc
e
C
u
rre
n
t
De
tec
ti
o
n
A
p
p
ro
a
c
h
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
(
IJ
PE
DS
),
v
ol
/
issu
e
:
7
(
1
)
,
p
p
.
225
-
2
3
4
,
2
0
1
6
.
[4
]
H
.
K
.
T
h
a
k
k
a
r,
e
t
a
l.
,
“
Ha
r
m
o
n
ics
in
i
n
d
u
strial
p
o
w
e
r
n
e
tw
o
r
k
s
o
f
a
lu
m
in
iu
m
s
m
e
lt
e
rs
-
A
c
o
m
p
re
h
e
n
siv
e
m
it
ig
a
ti
o
n
a
p
p
ro
a
c
h
,
”
I
n
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
S
m
a
rt Grid
a
n
d
Cle
a
n
E
n
e
rg
y
,
v
o
l
/
issu
e
:
4
(
1
)
,
2
0
1
5
.
[5
]
N.
G
e
rs
c
h
,
“
In
v
e
stig
a
ti
o
n
in
to
t
h
e
h
a
rm
o
n
ic
b
e
h
a
v
io
r
o
f
m
u
lt
ip
u
l
se
c
o
n
v
e
rter
s
y
ste
m
s
in
a
n
a
lu
m
in
iu
m
sm
e
lt
e
r
,
”
Un
ive
rs
it
y
o
f
W
o
ll
o
n
g
o
n
g
,
Bo
y
n
e
S
me
lt
e
rs
L
imit
e
d
,
Q
u
e
e
n
sla
n
d
.
Po
we
r q
u
a
l
it
y
c
e
n
ter
,
2
0
0
0
.
[6
]
P
.
P
o
ll
o
c
k
a
n
d
C.
Du
ff
e
y
,
“
P
o
w
e
r
q
u
a
li
ty
a
n
d
c
o
rre
c
ti
v
e
a
c
ti
o
n
in
a
n
a
lu
m
in
u
m
s
m
e
lt
e
r,
”
Petro
leu
m
a
n
d
Ch
e
mic
a
l
In
d
u
stry
c
o
n
fer
e
n
c
e
,
In
d
u
stry
A
p
p
li
c
a
ti
o
n
s
S
o
c
iety
4
5
t
h
A
n
n
u
a
l
.
I
EE
E.
P
a
p
e
r
No
.
P
CIC
-
98
-
2
0
,
1
9
9
8
.
[7
]
M
.
Erm
is,
e
t
a
l.
,
“
P
o
w
e
r
Qu
a
li
t
y
S
o
lu
ti
o
n
s
f
o
r
1
2
-
P
u
lse
S
m
e
lt
e
r
Co
n
v
e
rters
in
ET
I
A
lu
m
in
u
m
W
o
rk
s,”
IEE
E
tra
n
sa
c
ti
o
n
s
o
n
in
d
u
stry
a
p
p
li
c
a
ti
o
n
s,
v
o
l
/i
ss
u
e
:
40
(
6
)
,
2
0
0
4
[8
]
A
.
T.
Y
o
k
o
y
a
m
a
,
e
t
a
l.
,
“
In
v
e
stig
a
ti
o
n
a
n
d
m
it
ig
a
ti
o
n
o
f
th
e
a
m
p
li
f
ica
ti
o
n
o
f
th
e
h
a
r
m
o
n
ic
c
u
rre
n
t
to
f
il
terin
g
s
y
ste
m
o
f
a
n
a
lu
m
in
u
m
s
m
e
lt
e
r,
”
Pro
c
e
e
d
in
g
s
o
f
th
e
6
th
W
S
E
A
S
In
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
o
n
Po
we
r
S
y
ste
ms
,
L
isb
o
n
,
P
o
rtu
g
a
l,
2
0
0
6
.
[9
]
R
.
D.
M
.
S
o
o
m
ro
,
e
t
a
l.
,
“
P
o
w
e
r
Qu
a
li
ty
I
m
p
ro
v
e
m
e
n
t
in
QU
C
ES
T
Lark
a
n
a
Ca
m
p
u
s
b
y
u
sin
g
T
h
re
e
Ty
p
e
s
o
f
P
o
w
e
r
F
il
ters
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
m
(
IJ
PE
DS
)
,
v
ol
/i
ss
u
e
:
8
(
4
)
,
p
p
.
1
8
7
6
-
1
8
8
5
,
2
0
1
7
.
[1
0
]
M
.
W
ies
tn
e
r,
e
t
a
l.
,
“
P
o
w
e
r
q
u
a
li
ty
re
su
lt
s
in
e
n
e
rg
y
e
ff
icie
n
t
a
lu
m
in
iu
m
s
m
e
lt
e
r,
”
AB
B
S
wit
ze
rla
n
d
,
AB
B
T
e
c
h
n
ica
l
p
u
b
li
c
a
ti
o
n
,
2
0
1
0
.
[1
1
]
Z
.
Y
.
Z
h
a
o
,
e
t
a
l.
,
“
Op
e
ra
ti
o
n
a
l
c
h
a
ra
c
teristics
o
f
a
f
il
terin
g
re
c
ti
f
ier
tran
s
f
o
r
m
e
r
f
o
r
in
d
u
strial
p
o
w
e
r
s
y
ste
m
s,”
T
u
rk
ish
J
o
u
rn
a
l
o
f
El
e
c
trica
l
En
g
in
e
e
rin
g
&
Co
mp
u
ter
S
c
ien
c
e
s,
2
0
1
3
.
[1
2
]
A
.
Co
ll
ier,
e
t
a
l.
,
“
W
o
rk
h
o
rse
s
o
f
in
d
u
stry
-
In
d
u
strial
tra
n
sf
o
rm
e
rs
in
a
DC
e
n
v
iro
n
m
e
n
t,
”
AB
B
T
e
c
h
n
ica
l
p
u
b
li
c
a
ti
o
n
,
2
0
1
2
.
[1
3
]
X
.
L
i,
e
t
a
l.
,
“
Da
m
p
e
d
Hig
h
P
a
ss
iv
e
F
il
ter
-
A
Ne
w
F
il
terin
g
S
c
h
e
m
e
f
o
r
M
u
lt
ip
u
lse
Re
c
ti
f
ier
S
y
ste
m
s
,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Po
we
r De
li
v
e
ry
,
v
ol
/i
ss
u
e
:
32
(
1
)
,
2
0
1
7
C
r
i
t
e
r
i
a
C
o
n
v
e
n
t
i
o
n
a
l
P
L
6
P
D
C
H
a
r
mo
n
i
c
A
t
t
e
n
u
a
t
i
o
n
*
**
***
O
p
e
r
a
t
i
o
n
a
l
F
l
e
x
i
b
i
l
i
t
y
***
**
*
C
o
st
***
**
**
S
p
a
c
e
**
*
***
N
u
mb
e
r
o
f
P
H
F
U
n
i
t
s
***
*
**
Evaluation Warning : The document was created with Spire.PDF for Python.