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o
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h
a
r
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r
es
o
n
a
n
ce [
8
]
.
S
o
,
a
c
o
m
b
i
n
a
t
i
o
n
o
f
a
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t
i
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a
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v
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o
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h
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d
u
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t
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n
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f
ha
r
m
o
ni
c
r
e
s
o
na
nc
e
a
nd
c
ur
r
e
nt
[
9
,
1
0
]
.
F
u
r
t
h
er
t
h
e
act
i
v
e
an
d
p
as
s
i
v
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er
ca
n
b
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o
n
n
ect
ed
i
n
ei
t
h
e
r
s
er
i
es
o
r
p
ar
al
l
e
l
wa
y
.
A
n
o
n
-
l
i
n
ear
l
o
ad
o
f
10
K
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A
r
a
t
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g
t
h
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t
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x
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p
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a
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95
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c
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y
b
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d
a
c
t
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f
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r
(H
AP
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)
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n
d
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o
f s
y
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m
p
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rf
o
r
m
a
n
c
e
[1
1
]
.
S
y
n
c
h
r
o
n
o
u
s
r
ef
e
r
en
ce
f
r
am
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(
S
RF
)
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o
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t
r
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l
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y
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g
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di
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t
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,
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r
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a
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as
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r
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d br
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r
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t
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a
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g
,
s
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u
r
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d
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h
r
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g
h
1
0
:
1
t
r
a
n
s
f
o
r
m
e
r
[
1
2
]
.
T
h
i
s
c
o
m
b
i
n
a
t
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o
n
r
e
d
u
c
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t
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t
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r
r
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t
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g
.
T
he
s
e
r
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a
c
t
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ve
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l
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s
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a
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nd
s
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nt
pa
s
s
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f
i
l
t
e
r
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duc
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s
t
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r
m
oni
c
c
ur
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nt
.
A
S
A
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F
w
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t
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r
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p
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f
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d
p
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s
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f
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t
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r
w
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t
r
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n
s
f
or
m
e
r
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s
c
ons
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d
t
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de
s
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n t
he
h
yb
r
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f
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w
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o
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p
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ns
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t
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on
,
ha
r
m
o
ni
c
e
l
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m
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na
t
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on
a
nd
v
ol
t
a
ge
un
ba
l
a
nc
e
c
o
m
pe
ns
a
t
i
o
n
[
13
-
1
5
].
R
e
c
e
nt
l
y,
H
A
P
F
s
w
i
t
ho
ut
t
r
a
ns
f
o
r
m
e
r
s
w
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pr
op
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e
d f
o
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c
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pe
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t
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r
m
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c
c
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nt
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n
t
he
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n
dus
t
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i
a
l
p
ow
e
r
s
y
s
t
e
m
a
p
p
l
i
c
a
t
i
o
n
s
[
1
6
-
22
]
.
A
t
r
a
n
s
fo
rm
e
r
-
l
es
s
H
A
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F
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s
co
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s
t
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ct
e
d
b
y
s
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u
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t
act
i
v
e f
i
l
t
er
co
n
n
ect
ed
i
n
s
er
i
es
w
i
t
h
a s
ev
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t
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-
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l
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r
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t
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V
A
r
a
t
i
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o
f
t
he
a
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t
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r
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t
f
u
nc
t
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ons
a
s
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n
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dj
us
t
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bl
e
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o
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ta
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in
ha
r
m
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c
r
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o
n
an
t
f
r
eq
u
e
n
ci
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b
a
s
ed
o
n
t
h
e T
H
D
.
H
en
ce
a s
at
i
s
f
act
o
r
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ev
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o
f
d
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s
t
o
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t
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o
n
i
n
h
a
r
m
o
n
i
cs
ca
n
be
of
f
e
r
e
d
f
o
r
a
va
r
yi
n
g l
oa
d
c
on
di
t
i
on
.
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he
f
un
da
m
e
nt
a
l
c
o
m
p
one
nt
o
f
a
s
up
pl
y
vol
t
a
ge
c
a
n
be
s
u
s
t
a
i
ne
d
be
t
t
e
r
b
y
t
he
pr
ope
r
de
s
i
g
ni
n
g of
s
e
r
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s
c
a
pa
c
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t
or
.
A
l
e
s
s
D
C l
i
n
k
v
o
lt
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g
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s
e
n
o
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g
h
t
o
o
p
e
r
a
t
e
a
n
a
c
t
i
v
e
f
i
l
t
e
r
[
1
6
,
2
1
],
w
h
i
l
e
c
o
m
p
a
ri
n
g
wi
t
h
S
AP
F
.
A
t
h
re
e
-
pha
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e
s
t
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r
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o
nne
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t
e
d s
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e
m
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h l
oa
ds
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l
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ne
a
r
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t
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n
d n
o
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r
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s
l
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n
k
e
d
a
t
P
CC
(
poi
nt
o
f
c
om
m
on
c
o
u
pl
i
ng
)
i
s
c
o
ns
i
de
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d
t
o
de
s
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g
n
t
h
e t
r
an
s
f
o
r
m
er
-
le
s
s
hy
br
id
act
i
v
e f
i
l
t
er
.
T
h
e i
n
s
t
an
t
a
n
eo
u
s
r
eact
i
v
e
p
o
w
e
r
t
h
eo
r
y
a
n
d
S
V
P
W
M
m
et
h
o
d
s
a
r
e
u
s
ed
t
o
g
e
n
er
at
e t
h
e
c
om
pe
n
s
a
t
i
ng
c
ont
r
ol
s
i
gna
l
.
T
he
pe
r
f
o
r
m
a
nc
e
of
t
he
f
i
l
t
e
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s
a
n
a
l
yz
e
d
b
y c
om
p
a
r
i
n
g t
he
s
y
s
t
e
m
wi
t
h
b
ot
h
t
he
P
W
M
m
e
t
ho
ds
.
T
he
ge
ne
r
a
l
i
n
t
r
o
d
u
c
t
i
o
n
a
n
d
t
h
e
c
o
n
c
e
p
t
o
f
h
y
b
r
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d
a
c
t
i
v
e
f
i
l
t
e
r
u
n
i
t
(
H
A
P
U)
us
e
d i
s
di
s
c
us
s
e
d i
n
s
e
c
t
i
on
1.
T
he
ge
ne
r
a
l
i
nt
r
o
d
uc
t
i
on
o
f
t
he
a
c
t
i
ve
po
w
e
r
f
i
l
t
e
r
i
s
e
xpl
a
i
ne
d i
n s
e
c
t
i
o
n
2.
T
he
H
A
P
F
t
o
pol
og
y
a
nd
i
t
s
o
pe
r
a
t
i
ng
p
r
i
nc
i
pl
e
a
nd
a
l
s
o t
he
c
ont
r
ol
t
e
c
h
ni
que
s
f
o
r
t
he
HA
P
F
a
r
e
di
s
c
us
s
e
d
i
n s
e
c
t
i
on
3
.
T
h
e s
i
m
ul
i
n
k
m
o
de
l
of
a
H
A
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F
wi
t
h
i
t
s
o
ut
p
ut
w
a
ve
f
or
m
s
a
nd
ha
r
d
w
a
r
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pi
c
t
ur
e
w
i
t
h
t
he
o
ut
p
ut
gr
a
ph
s
a
r
e
s
ho
w
n
i
n
s
e
c
t
i
on
4
a
n
d
s
e
c
t
i
o
n
5.
T
he
c
o
nc
l
us
i
o
n
dr
a
w
n
f
r
om
t
he
wo
r
k
i
s
gi
ve
n
i
n
s
e
c
t
i
o
n
6.
2.
A
CT
I
V
E
P
O
W
E
R
F
I
LTE
R
Th
e
A
P
F
s
(
a
c
t
i
v
e
p
o
w
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r
f
i
l
t
e
r
)
a
r
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c
l
a
s
s
i
f
i
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d i
nt
o s
e
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e
s
,
s
h
unt
a
n
d
h
y
br
i
d
AP
F
.
I
n
s
e
r
i
e
s
AP
F
,
t
h
e
i
n
v
e
r
t
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r
a
c
t
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a
s
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s
w
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f
o
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g
v
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p
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s
a
t
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n
.
O
n
t
h
e
o
t
h
e
r
ha
n
d,
t
he
P
W
M b
a
s
e
d
V
S
I
(
v
o
l
t
a
g
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s
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c
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nve
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t
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r
)
a
c
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t
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o t
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ha
r
m
oni
c
c
ur
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nt
c
a
n be
t
o e
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m
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i
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e
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n
t
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s
a
m
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a
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r
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t
he
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r
can
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m
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t
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l
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a
gr
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m
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s
s
ho
w
n
i
n
F
i
g
u
r
e
1.
T
he
di
a
g
r
a
m
m
a
i
nl
y
c
on
s
i
de
r
s
s
up
pl
y,
l
oa
d
s
ou
r
c
e
i
m
pe
da
nc
e
a
n
d
f
i
l
t
e
r
.
C
ons
i
de
r
i
ng t
h
e
s
u
ppl
y,
i
t
c
a
n be
us
e
d a
s
s
i
ngl
e
p
ha
s
e
,
t
h
r
e
e
p
ha
s
e
t
h
r
e
e
w
i
r
e
a
nd
t
hr
e
e
pha
s
e
f
o
ur
wi
r
e
A
C
s
u
ppl
y.
It
i
s
t
h
e
fi
rs
t
s
t
a
g
e
o
f
t
h
i
s
p
r
o
j
e
c
t
.
S
o
i
t
gi
ve
s
t
he
AC
s
up
pl
y
t
o
t
h
e
r
e
c
t
i
f
i
e
r
.
T
h
e
i
n
p
u
t
s
i
d
e
h
a
s
o
n
e
i
n
d
u
c
t
i
v
e
f
i
l
t
e
r
.
I
t
i
s
u
s
e
d
t
o
i
m
p
r
o
v
e
t
h
e
i
n
p
u
t
p
o
w
e
r
f
a
c
t
o
r
.
T
h
e
l
o
ad
at
t
he
p
oi
nt
of
c
o
m
m
o
n c
o
upl
i
n
g c
a
n be
l
i
n
e
a
r
l
oa
d,
no
n
-
l
i
n
e
a
r
l
oa
d or
t
h
e
c
om
bi
na
t
i
o
n of
b
ot
h.
T
he
v
ol
t
a
ge
s
o
u
r
ce
i
n
v
e
r
t
er
i
s
co
n
n
ect
ed
a
s
a
f
i
l
t
er
t
o
p
r
o
v
i
d
e
t
h
e
v
o
l
t
a
g
e
a
n
d
c
ur
r
e
nt
c
om
pe
n
s
a
t
i
on
.
A
c
t
i
v
e
a
n
d
p
a
s
s
i
v
e
p
o
w
e
r
f
i
l
t
e
r
s
a
r
e
c
o
n
s
i
d
e
r
e
d
a
s
t
h
e
t
r
a
d
i
t
i
o
n
a
l
f
i
l
t
e
r
s
f
o
r
h
a
r
m
o
n
i
c
e
l
i
m
i
n
a
t
i
o
n
P
a
s
s
i
ve
po
w
e
r
f
i
l
t
e
r
i
s
s
i
m
p
l
e
a
nd e
a
s
y t
o de
s
i
g
n b
ut
ha
s
t
he
d
r
a
w
b
a
c
k o
f
r
e
s
o
na
nc
e
t
u
ni
n
g
pr
obl
e
m
.
A
c
t
i
v
e
f
i
l
t
e
r
i
s
i
n
t
r
o
d
u
c
e
d
t
o o
ve
r
c
o
m
e
t
he
a
d
di
t
i
ona
l
r
e
s
o
na
nc
e
b
ut
i
ni
t
i
a
l
a
nd r
u
nni
ng c
os
t
i
s
hi
g
h a
s
t
h
e
p
o
w
er
r
a
t
i
n
g
i
n
cr
e
as
es
.
H
A
P
F
o
v
er
co
m
e
t
h
e
s
e
d
i
s
ad
v
an
t
ag
e
s
b
y
ac
t
i
n
g
a
s
a
h
ar
m
o
n
i
c
i
s
o
l
a
t
o
r
,
a
t
f
u
n
d
am
en
t
al
f
r
e
que
nc
y z
e
r
o
i
m
pe
da
nc
e
t
o
t
he
e
xt
e
r
na
l
c
i
r
c
ui
t
a
n
d
hi
g
h
r
e
s
i
s
t
a
nc
e t
o
s
o
u
r
ce
o
r
l
o
ad
h
ar
m
o
n
i
cs
.
T
h
er
e ar
e
di
f
f
e
r
e
nt
t
o
pol
ogi
e
s
i
n
h
yb
r
i
d
po
w
e
r
f
i
l
t
e
r
ba
s
e
d
on
t
he
c
on
ne
c
t
i
o
n
be
t
w
e
e
n
t
he
pa
s
s
i
ve
a
n
d a
c
t
i
v
e
f
i
l
t
e
r
.
T
he
t
hr
e
e
ba
s
i
c
t
op
ol
o
gi
e
s
of
H
A
P
F
a
r
e
di
s
c
us
s
e
d
i
n
t
hi
s
pa
pe
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
SN
:
2
088
-
87
08
I
nt
J
E
l
e
c
&
C
om
p
E
n
g,
V
o
l
.
11
,
No
.
1,
F
e
b
r
ua
r
y
2
02
1
:
84
-
93
86
F
ig
ur
e
1
.
G
en
er
a
l
bl
oc
k
di
a
gr
a
m
o
f
A
P
F
3.
PR
OP
OS
E
D
HY
B
R
ID
A
C
T
IV
E
PO
WE
R
FIL
T
E
R
T
OPOL
O
GY
T
he
pr
op
os
e
d t
op
ol
o
g
y o
f
t
he
t
r
a
ns
f
o
r
m
e
r
-
l
e
s
s
H
A
P
F
i
s
g
i
v
e
n
i
n
F
i
g
u
r
e
2
.
I
n
t
h
i
s
s
i
m
p
l
i
f
i
e
d
c
i
r
c
u
i
t
d
i
a
g
r
a
m
,
w
h
e
re
L
s
an
d
R
s
ar
e
t
h
e
s
o
u
r
ce
i
m
p
ed
a
n
ce.
T
h
e
H
A
P
F
i
s
d
es
i
g
n
ed
w
i
t
h
s
h
u
n
t
act
i
v
e
f
i
l
t
e
r
c
o
n
n
e
c
t
e
d
i
n
s
e
r
i
e
s
w
i
t
h
p
a
s
s
i
v
e
f
i
l
t
e
r
i
s
w
h
i
c
h
a
r
r
a
n
g
e
d
i
n
p
a
r
a
l
l
e
l
t
o
t
h
e
l
o
a
d
[
2
2
-
2
4
]
.
T
h
e
p
as
s
i
v
e f
i
l
t
er
L
f
an
d
C
f
i
s
t
une
d t
o
s
e
ve
nt
h
or
de
r
ha
r
m
o
ni
c
f
r
e
q
ue
nc
y
.
T
he
s
e
ve
nt
h t
u
ne
d
pa
s
s
i
ve
f
i
l
t
e
r
e
l
i
m
i
na
t
e
s
t
he
ha
r
m
o
ni
c
c
ur
r
e
nt
a
nd pr
o
vi
de
s
po
w
e
r
c
o
m
pe
ns
a
t
i
on.
T
he
pe
r
f
or
m
a
nc
e
of
t
he
pa
s
s
i
ve
f
i
l
t
e
r
i
s
i
m
pr
o
ve
d t
hr
ou
g
h v
ol
t
a
ge
s
ou
r
c
e
i
n
v
e
r
t
e
r
w
i
t
h
D
C l
i
n
k
c
a
p
a
c
i
t
o
r
.
S
u
p
p
r
e
s
s
i
o
n
i
n
h
a
r
m
o
n
i
c
r
e
s
o
n
a
n
c
e
i
s
a
c
h
i
e
v
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d
b
y
o
p
e
r
a
t
i
n
g
t
h
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f
i
l
t
e
r
i
n
va
r
i
a
bl
e
c
o
n
duc
t
a
nc
e
m
ode
.
T
h
e
l
oa
d
a
t
t
he
p
oi
nt
of
c
o
upl
i
n
g i
s
bot
h l
i
ne
a
r
a
n
d
no
n
-
l
i
n
e
a
r
l
o
a
d
.
A
t
h
r
e
e
-
pha
s
e
unc
o
nt
r
ol
l
e
d br
i
dge
r
e
c
t
i
f
i
e
r
w
i
t
h
r
e
s
i
s
t
i
ve
l
oa
d
i
s
t
he
no
n
-
l
i
n
e
a
r
l
oa
d
i
n
t
hi
s
p
r
o
p
os
e
d
m
e
t
ho
d.
F
ig
ur
e
2
.
B
l
oc
k
di
a
g
r
a
m
of
H
AP
F
T
he
pe
r
f
or
m
a
nc
e
f
i
l
t
e
r
i
s
a
na
l
ys
e
d
w
i
t
h
t
o
t
a
l
h
a
r
m
o
n
i
c
d
i
s
t
o
r
t
i
o
n
o
b
t
a
i
n
e
d
i
n
b
o
t
h
t
h
e
s
y
s
t
e
m
.
A
s p
e
r
t
h
e
I
E
EE
s
t
d
.
5
1
9
-
1992 r
e
c
o
m
m
e
nde
d pr
a
c
tic
e
s
[
25
]
,
t
h
e
v
o
l
t
ag
e an
d
cu
r
r
en
t
T
H
D
% m
u
s
t
b
e
m
a
i
n
t
a
i
n
e
d
l
e
s
s
t
ha
n
5%
,
a
nd i
ndi
vi
d
ua
l
di
s
t
or
t
i
o
n s
h
o
ul
d
be
be
l
ow
4%
.
D
e
s
i
g
ni
n
g
t
he
f
i
l
t
e
r
i
n c
on
v
e
n
t
i
o
n
a
l
m
e
t
h
o
d
i
s
c
om
pl
e
x
f
or
di
f
f
e
r
e
nt
ha
r
m
o
n
i
c
s
.
I
t
a
l
s
o
r
e
q
ui
r
e
s
i
n
di
vi
d
ua
l
c
o
nt
r
ol
l
o
o
ps
f
or
c
om
pe
n
s
a
t
i
ng
t
he
v
ol
t
a
ge
a
n
d
c
ur
r
e
nt
.
I
n t
he
pr
o
pos
e
d s
ys
t
e
m
,
t
he
v
ol
t
a
ge
l
e
ve
l
i
s
m
a
i
nt
a
i
ne
d
d
ur
i
ng
f
a
ul
t
c
o
ndi
t
i
o
ns
.
I
t
p
r
o
v
i
d
e
s
s
u
f
f
i
c
i
e
n
t
gr
i
d
s
i
de
vol
t
a
g
e r
ec
o
v
er
y
an
d
b
et
t
er
v
o
l
t
ag
e co
m
p
en
s
at
i
o
n
.
T
h
i
s
p
r
o
p
o
s
ed
s
y
s
t
em
can
b
e u
s
e
d
t
o
i
m
p
r
o
v
e
po
w
e
r
qua
l
i
t
y,
vol
t
a
ge
s
t
a
bi
l
i
t
y
a
nd
p
o
w
e
r
c
o
nt
r
ol
i
n
gr
i
d.
3.
1.
Spa
c
e
ve
c
t
or
p
u
l
s
e
w
i
d
t
h
m
od
u
l
at
i
on
T
he
c
o
nt
r
ol
s
i
gna
l
t
o t
he
i
n
ve
r
t
e
r
m
o
dul
e
i
s
c
ont
r
ol
l
e
d
f
r
o
m
va
r
i
ous
p
ul
s
e
w
i
dt
h m
o
dul
a
t
i
o
n
t
e
c
hni
q
ue
s
.
I
n
t
hi
s
pa
pe
r
a
s
pa
c
e
ve
c
t
o
r
pu
l
s
e
w
i
dt
h m
o
d
ul
a
t
i
on
t
e
c
h
ni
q
ue
i
s
us
e
d t
o
ge
ne
r
a
t
e
t
he
c
ont
r
ol
s
i
gna
l
t
o t
he
i
nve
r
t
e
r
.
T
he
r
e
s
u
l
t
s
o
bt
a
i
ne
d
f
r
om
t
he
S
V
P
W
M [
24
,
2
6
]
m
e
t
ho
d i
s
c
om
pa
r
e
d wi
t
h t
he
r
e
s
ul
t
s
d
e
r
i
v
e
d
f
r
om
t
he
I
ns
t
a
nt
a
ne
o
us
r
e
a
c
t
i
ve
po
w
e
r
t
he
or
y.
T
h
e
r
ef
e
r
en
ce
v
ect
o
r
i
s
s
am
p
l
ed
at
t
h
e
f
i
x
e
d
cl
o
c
k
f
r
e
q
u
e
n
cy
2
f
s
t
o
o
bt
a
i
n t
he
S
V
M
f
or
t
hr
e
e
-
le
g
i
nve
r
t
e
r
.
T
he
r
e
a
r
e
e
i
ght
p
os
s
i
bl
e
s
w
i
t
c
h
i
ng
c
om
bi
na
t
i
ons
i
n t
he
t
h
r
e
e
-
l
e
g
i
nve
r
t
e
r
.
T
he
s
e
s
w
i
t
c
hi
ng
co
m
b
i
n
at
i
o
n
s
ar
e
m
a
ppe
d
wi
t
h t
he
or
t
ho
g
o
na
l
pl
a
ne
t
o
g
e
t
t
he
s
i
x
no
n
-
zer
o
v
ect
o
r
s
a
n
d
t
w
o
zer
o
v
ect
o
r
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
nt
J
E
l
e
c
&
C
om
p
E
n
g
I
S
S
N
:
208
8
-
87
08
P
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87
T
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-
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r
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s
w
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o
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f
r
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1
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6
f
o
r
m
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xa
g
on
w
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c
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i
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pr
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t
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F
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g
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r
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3
.
T
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e u
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
SN
:
2
088
-
87
08
I
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J
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C
om
p
E
n
g,
V
o
l
.
11
,
No
.
1,
F
e
b
r
ua
r
y
2
02
1
:
84
-
93
92
R
EF
ER
E
N
C
ES
[1]
R
.
H
.
S
i
m
ps
on,
“
M
i
s
a
ppl
i
c
a
t
i
o
n of pow
e
r
c
a
p
a
c
i
t
ors
i
n
di
s
t
ri
but
i
on s
ys
t
e
m
s
w
i
t
h nonl
i
ne
a
r
l
oa
ds
-
t
h
r
e
e cas
e
hi
s
t
ori
e
s
,
”
Con
f
e
r
e
nc
e
R
e
c
or
d
of
2004
A
nnua
l
P
u
l
p and
P
a
p
e
r
Indus
t
r
y
T
e
c
hni
c
al
Conf
e
r
e
n
c
e
(IE
E
E
Cat
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No.
04CH
37523),
V
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a
,
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a
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i
on
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s
e
a
nd
V
.
L
or
c
h,
“
V
ol
t
a
ge
d
i
s
t
ort
i
on
o
n a
n
e
l
e
c
t
r
i
c
a
l
di
s
t
ri
but
i
on
s
ys
t
e
m
,
”
I
E
E
E
Indu
s
t
r
y
A
ppl
i
c
at
i
on
s
Magaz
i
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,
v
ol
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E
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r
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ce
,
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l
i
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an
d
H
. N
.
N
el
s
o
n
,
“H
ar
m
o
n
i
c
r
es
o
n
an
ce
at
a
m
e
d
i
u
m
-
s
i
z
e
d i
ndu
s
t
ri
a
l p
la
n
t,
”
I
EEE
T
r
ans
ac
t
i
ons
on
Indus
t
r
y
A
ppl
i
c
a
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J
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W
u
e
t
a
l
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“
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s
t
i
g
a
t
i
on
a
nd
m
i
t
i
ga
t
i
on
of
ha
rm
on
i
c
a
m
p
l
i
fi
c
a
t
i
on
probl
e
m
s
c
a
us
e
d
by
s
i
ng
l
e
-
t
un
e
d
fi
l
t
e
rs
,
”
IE
E
E
T
r
ans
ac
t
i
o
ns
on P
owe
r
D
e
l
i
v
e
r
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v
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S
i
ngh,
K
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A
l
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H
a
dda
d,
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nd
A
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Cha
nd
ra
,
“
A
r
e
vi
e
w
o
f
a
c
t
i
ve
fi
l
t
e
rs
for
pow
e
r
qu
a
l
i
t
y
i
m
pr
ove
m
e
n
t
,”
I
EE
E
T
r
ans
ac
t
i
ons
on
Indus
t
r
i
al
E
l
e
c
t
r
oni
c
s
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vo
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[6]
H
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k
ag
i
,
“A
ct
i
v
e h
ar
m
o
n
i
c
fi
l
t
e
r
s
,”
i
n
P
r
o
c
eed
i
n
g
s
o
f
t
h
e
I
E
E
E
,
vo
l
.
9
3,
n
o.
1
2,
p
p.
2128
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2141
,
20
05.
[7]
Bha
t
t
a
c
ha
ry
a
,
C
.
Cha
kra
bor
t
y,
a
nd S
.
Bha
t
t
a
c
ha
rya
,
“
S
hunt
c
om
pe
ns
a
t
i
on,
”
i
n
IE
E
E
Indu
s
t
r
i
al
E
l
e
c
t
r
oni
c
s
Magaz
i
ne
,
v
ol
.
3,
n
o.
3,
p
p.
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8
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49
,
2009
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[8]
F
. Z
.
P
e
n
g
,
“
A
p
p
l
i
c
a
t
i
o
n
i
s
s
u
e
s
o
f
a
c
t
i
v
e
p
o
w
e
r
fi
l
t
e
r
s
,
”
i
n
IE
E
E
Indus
t
r
y
A
pp
l
i
c
a
t
i
ons
Ma
gaz
i
n
, v
o
l
. 4
, n
o
. 5
, p
p
. 2
1
-
3
0,
1998
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[9]
S
.
Bha
t
t
a
c
ha
rya
a
nd
D
.
D
i
va
n
,
“
D
e
s
i
gn
a
nd
i
m
p
l
e
m
e
n
t
a
t
i
on
of
a
hybri
d
s
e
ri
e
s
a
c
t
i
ve
fi
l
t
e
r
s
ys
t
e
m
,
”
P
r
oc
e
e
di
ngs
of
P
E
SC '
95
-
P
owe
r
E
l
e
c
t
r
oni
c
s
Spe
c
i
al
i
s
t
Conf
e
r
e
n
c
e
,
At
l
a
n
t
a
,
GA,
US
A
,
vol
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1
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pp
.
189
-
195
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[10]
S
.
B
h
at
t
ac
h
a
r
y
a
, P.
-
T.
Che
ng
a
n
d D
.
M
.
D
i
v
a
n,
“
H
ybri
d
s
ol
u
t
i
on
s
for
i
m
provi
ng
pa
s
s
i
ve
fi
l
t
e
r
pe
r
form
a
nc
e
i
n
hi
g
h
p
o
w
er
ap
p
l
i
cat
i
o
n
s
,”
P
r
oc
e
e
di
ng
s
of
A
ppl
i
e
d
P
o
we
r
E
l
e
c
t
r
oni
c
s
Conf
e
r
e
nc
e
.
A
P
E
C '
96
,
S
a
n
Jo
se
,
C
A,
US
A
,
vol
.
2,
pp.
911
-
917
, 1
99
6
.
[11]
Ba
rt
os
z
K
ę
dr
a
,
“
Com
pa
ri
s
on of
a
n a
c
t
i
ve
a
nd
hyb
ri
d po
w
er
f
i
l
t
er
d
ev
i
c
es
,”
2014 1
6t
h Int
e
r
nat
i
ona
l
Conf
e
r
e
nc
e
on
H
ar
m
oni
c
s
and Q
ual
i
t
y
of
P
owe
r
(ICH
Q
P
)
,
Buc
ha
re
s
t
,
pp.
556
-
56
0
,
2014
.
[12]
Bhi
m
S
i
ngh
a
n
d V
i
s
ha
l
V
e
rm
a
,
“
A
n i
ndi
re
c
t
c
urre
nt
c
ont
ro
l
o
f hybri
d
a
c
t
i
v
e
pow
e
r fi
l
t
e
r
for
va
ryi
ng
l
o
a
ds
,
”
i
n
IE
E
E
T
r
ans
ac
t
i
o
ns
on P
owe
r
D
e
l
i
v
e
r
y
,
vol
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no
.
1
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178
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[13]
H
.
F
uj
i
t
a
a
nd H
.
A
ka
gi
,
“
A
pra
c
t
i
c
a
l
a
ppro
a
c
h
t
o ha
rm
oni
c
c
o
m
pe
ns
a
t
i
on
i
n po
w
e
r s
ys
t
e
m
s
-
s
e
ri
e
s
c
onne
c
t
i
o
n of
p
as
s
i
v
e an
d
a
ct
i
v
e f
i
l
t
er
,”
i
n
IE
E
E
T
r
ans
ac
t
i
ons
on Indus
t
r
y
A
pp
l
i
c
at
i
ons
,
vol
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27
,
no.
6,
pp.
1020
-
1025,
1991
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[14]
V
.
F
a
bi
á
n Cor
a
s
a
ni
t
i
,
et
al
.
,
“
H
y
bri
d
a
c
t
i
ve
pow
e
r f
i
l
t
e
r
for r
e
a
c
t
i
ve
a
nd
ha
rm
on
i
c
s
c
om
pe
ns
a
t
i
o
n i
n
a
di
s
t
r
i
but
e
d
ne
t
w
ork
,
”
i
n
IE
E
E
T
r
ans
ac
t
i
ons
on
Indus
t
r
i
al
E
l
e
c
t
r
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c
s
,
vol
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56
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no.
3,
pp.
670
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6
77,
2009
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[15]
R.
In
z
unz
a
a
nd
H
.
A
k
ag
i
,
“A
6
.6
-
kV
t
r
a
ns
form
e
r
l
e
s
s
s
hunt
hybri
d
a
c
t
i
ve
fi
l
t
e
r
for
i
ns
t
a
l
l
a
t
i
on
on
a
pow
e
r
d
is
tr
ib
u
tio
n
s
y
s
te
m,
”
i
n
IE
E
E
T
r
ans
ac
t
i
ons
on
P
owe
r
E
l
e
c
t
r
oni
c
s
,
vol
.
20
,
no
.
4
,
p
p.
893
-
900
,
200
5.
[16]
H.
Ak
a
g
i
,
S
.
S
ri
a
nt
hum
rong
,
a
nd
Y
.
T
a
m
a
i
,
“
Co
m
pa
ri
s
on
i
n
c
i
r
c
ui
t
c
onfi
g
ura
t
i
on
a
nd
fi
l
t
e
ri
ng
p
e
r
form
a
nc
e
be
t
w
e
e
n
hybri
d
a
nd
pure
s
hunt
a
c
t
i
ve
fi
l
t
e
rs
,
”
8
t
h I
A
S A
nn
ual
Me
e
t
i
ng
on
Conf
e
r
e
nc
e
R
e
c
or
d of
t
h
e
Indus
t
r
y
A
pp
l
i
c
a
t
i
ons
Conf
e
r
e
nc
e
,
200
3.
,
S
al
t
L
ak
e C
i
t
y
, U
T
, U
S
A
,
vol
.
2
,
pp
.
1195
-
12
02
,
2
003
.
[17]
C.
-
S
. L
am
,
W
.
-
H
.
Choi
,
M
.
-
C
. W
ong,
a
nd
Y
.
-
D
. H
an
,
“A
d
ap
t
i
v
e D
C
-
l
i
nk vo
l
t
a
ge
-
c
on
t
rol
l
e
d
h
ybri
d
a
c
t
i
ve
po
w
e
r
fi
l
t
e
rs
for
re
a
c
t
i
v
e
pow
e
r
c
om
p
e
ns
a
t
i
on,
”
i
n
I
E
E
E
T
r
ans
ac
t
i
ons
on
P
ow
e
r
E
l
e
c
t
r
oni
c
s
,
vo
l
.
27,
no
.
4
,
pp
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8
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1772,
2012
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[18]
Bha
t
t
a
c
ha
ry
a
,
C
.
Cha
kra
bort
y
,
a
n
d
S
.
Bha
t
t
a
c
h
a
ry
a
,
“
P
a
r
a
l
l
e
l
c
onn
e
c
t
e
d
s
hunt
hybr
i
d
a
c
t
i
ve
pow
e
r
fi
l
t
e
rs
ope
ra
t
i
ng
a
t
di
ffe
r
e
nt
s
w
i
t
c
hi
ng
fre
qu
e
nc
i
e
s
for
i
m
p
rove
d
pe
rfor
m
a
n
c
e
,
”
i
n
I
E
E
E
T
r
ans
ac
t
i
ons
on Indus
t
r
i
al
E
l
e
c
t
r
oni
c
s
,
vol
.
59
,
no
.
11
,
p
p.
4007
-
4019
,
2
012.
[19]
S
. R
ah
m
an
i
,
K
.
H
am
ad
i
,
an
d
A
.
A
l
-
H
a
dda
d
,
“
A
L
y
a
punov
-
func
t
i
on
-
ba
s
e
d
c
ont
ro
l
for
a
t
hre
e
-
ph
a
s
e
s
hunt
hybri
d
act
i
v
e fi
l
t
er
,”
i
n
IE
E
E
T
r
a
ns
a
c
t
i
o
ns
on Indus
t
ri
a
l
E
l
e
c
t
roni
c
s
,
vo
l
.
59,
no
.
3
,
pp
.
14
18
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1429,
2012
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[20]
S
. R
ah
m
an
i
, A
.
H
am
ad
i
, K
. A
l
-
H
a
dda
d,
a
nd
L
.
D
e
s
s
a
i
nt
,
“
A
c
o
m
bi
na
t
i
on
of
s
hu
nt
hybri
d
pow
e
r
fi
l
t
e
r
a
nd
t
hyri
s
t
or
-
c
ont
rol
l
e
d r
e
a
c
t
or
for pow
e
r qu
a
l
i
t
y,
”
i
n
IE
E
E
T
r
ans
ac
t
i
ons
on
Indus
t
r
i
al
E
l
e
c
t
r
oni
c
s
,
vol
.
61
,
no
.
5
,
pp
.
21
52
-
2164,
2014
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[21]
C.
-
S
.
L
a
m
e
t
a
l
.
,
“
D
e
s
i
gn
a
nd
pe
rform
a
nc
e
of
a
n
a
da
pt
i
ve
l
ow
-
D
C vol
t
a
ge
-
c
ont
ro
l
l
e
d
L
C
-
hybri
d
a
c
t
i
v
e
pow
e
r
fi
l
t
e
r
w
i
t
h a
ne
u
t
ra
l
i
n
duc
t
or i
n
t
hre
e
-
p
ha
s
e
four
-
wi
r
e
p
o
we
r
sy
st
e
m
s,
”
i
n
IE
E
E
T
r
ans
ac
t
i
ons
on Indus
t
r
i
al
E
l
e
c
t
r
oni
c
s
,
vol
.
61
,
no
.
6
,
pp
.
2635
-
2647
,
20
14.
[22]
L
i
n Ch
e
n,
Y
unxi
na
ng X
i
e
a
nd
Z
h
i
Z
h
a
ng,
“
Com
p
a
ri
s
on of
H
ybri
d
A
c
t
i
v
e
P
ow
e
r F
i
l
t
e
r
T
opo
l
ogi
e
s
a
nd P
ri
nc
i
pl
e
s
,”
2008 Int
e
r
nat
i
on
al
Conf
e
r
e
nc
e
o
n E
l
e
c
t
r
i
c
al
Mac
hi
ne
s
and S
y
s
t
e
m
s
,
W
uha
n
,
pp
.
2030
-
2035
,
200
8
.
[23]
J
uha
T
urune
n
,
M
i
ka
S
a
l
o a
nd
H
e
i
kki
T
uus
a
,
“
Com
pa
r
i
s
on
of S
e
ri
e
s
H
ybri
d A
c
t
i
ve
P
ow
e
r F
i
l
t
e
rs
B
a
s
e
d
on
E
x
p
e
r
im
e
n
ta
l T
e
s
ts
,”
2005
E
ur
ope
a
n C
onf
e
r
e
n
c
e
on
P
ow
e
r
E
l
e
c
t
r
oni
c
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R.
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rka
v
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ka
t
hi
rv
e
l
u
,
R.
S
a
nka
ra
n a
nd R
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nga
ra
j
a
n A
m
i
rt
ha
ra
j
a
n “
D
e
s
i
gn
,
S
i
m
ul
a
t
i
on
a
n
d
H
a
rdw
a
re
Im
pl
e
m
e
nt
a
t
i
on
of
S
h
unt
H
ybri
d
Co
m
pe
ns
a
t
or
U
s
i
ng
S
ync
hronous
Ro
t
a
t
i
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R
e
fe
r
e
nc
e
F
ra
m
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(S
RRF
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-
Ba
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e
d Cont
ro
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T
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c
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qu
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In
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ut
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,
“
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E
Re
c
om
m
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nde
d
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e
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a
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e
qui
re
m
e
n
t
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for H
a
r
m
oni
c
Con
t
rol
i
n
E
l
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ct
r
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P
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A
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p
ac
e
-
ve
c
t
or
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b
a
s
e
d h
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t
e
re
s
i
s
c
urre
n
t
c
ont
rol
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e
r for
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ge
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a
l
n
-
l
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v
el
i
nve
rt
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r
-
fe
d dr
i
ve
w
i
t
h n
e
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rl
y
c
ons
t
a
n
t
swi
t
c
hi
ng fre
que
n
c
y
c
ont
rol
,
"
i
n
I
E
E
E
T
r
ans
ac
t
i
o
ns
on Indus
t
r
i
al
Ele
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I
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s
t
an
t
an
eo
u
s
R
ea
ct
i
v
e P
o
w
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C
o
m
p
en
s
at
o
r
s
C
o
m
p
r
i
s
i
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g
S
w
i
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ch
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D
ev
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ce
s
wi
t
hout
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ne
rgy
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t
ora
ge
C
o
m
pone
nt
s
,
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i
n
I
E
E
E
T
r
ans
ac
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ons
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t
r
y
A
pp
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i
r
i
ci
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ab
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d
an
R
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i
f
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, Ö
zg
ü
r
C
.
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zer
d
em
c
,
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h
af
i
u
z
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am
an
K
.
K
h
ad
e
m
d
, M
al
ab
i
k
a
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as
u
,
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e
al
-
Ti
m
e
Cont
rol
of S
hunt
A
c
t
i
v
e
P
ow
e
r F
i
l
t
e
r und
e
r D
i
s
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ort
e
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ri
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ol
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n
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nba
l
a
nc
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o
a
d Con
di
t
i
on us
i
ng S
e
l
f
T
uni
ng F
i
l
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e
r
,
”
i
n
I
E
T
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E
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i
uk
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i
j
i
a
n
,
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n i
m
pro
ve
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l
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t
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urre
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t
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pow
e
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fi
l
t
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rs
c
on
t
r
ol
,
"
Me
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Evaluation Warning : The document was created with Spire.PDF for Python.