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ne
t
w
o
r
ks
to
d
et
er
m
i
n
e
h
ar
m
o
n
i
c c
u
r
r
en
t
s
,
i
t
h
as
t
h
e ad
v
an
t
a
g
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o
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g
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v
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acc
u
r
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r
es
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l
t
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ead
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-
s
ta
te
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th
e
tr
a
in
i
n
g
al
g
o
r
i
t
h
m
i
s
u
s
ed
w
el
l
.
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o
w
e
v
er
,
t
h
er
e
ar
e
s
h
o
r
t
co
m
i
n
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t
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m
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ex
,
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e
a
bi
l
i
t
y
t
o r
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pon
d t
oo s
l
o
w
l
y
.
T
h
e
r
e
f
or
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t
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s
e
d
.
A
n
o
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m
e
t
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s F
B
D
(
F
r
y
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e
-
B
uc
h
ho
l
z
-
D
pe
n
br
oc
k
)
m
e
t
h
od [
14]
-
[
16]
,
w
hi
c
h
i
s
ba
s
e
d on
t
h
e
s
l
i
di
n
g
-
w
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nd
o
w
i
t
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r
a
t
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ve
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l
go
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i
t
h
m
.
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hi
s
m
e
t
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s
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d
va
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ge
o
f
no
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us
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g p
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oop bl
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n
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k
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p l
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p
a
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i
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.
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ve
n s
o
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t
ha
s
t
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i
s
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d
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ge
s
o
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om
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pon
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e
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h
e h
ar
m
o
n
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c d
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ect
i
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et
h
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d
u
s
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t
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F
u
zz
y
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t
M
ea
n
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q
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s
al
g
o
r
i
t
h
m
h
as
b
een
i
n
t
r
o
d
u
ced
[
1
7
]
,
[
1
8
]
an
d
h
as
al
s
o
i
m
p
r
o
v
ed
accu
r
ac
y
i
n
s
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at
e.
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o
w
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er
,
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i
s
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et
h
o
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h
as
a
r
e
s
p
o
n
s
e
in
tr
a
n
s
ie
n
t p
e
r
io
d
is
s
l
o
w
,
l
a
r
ge
o
ve
r
s
ho
o
t
w
he
n t
h
e
l
o
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nge
s
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a
p
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d
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y
.
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n
s
h
o
r
t,
th
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b
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m
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t
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is
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if
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ic
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ur
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n t
hi
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n i
m
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itio
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a
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p
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q h
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r
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o
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hod i
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de
.
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pu
r
pos
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n
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o r
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oot
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n
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ie
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t ti
m
e
.
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r
o
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m
a
th
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m
a
tic
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l a
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a
l
y
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n t
he
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t
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ge
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t
he
L
P
F
.
F
r
o
m
t
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a
f
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y r
e
g
ul
a
t
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itio
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ect
i
o
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et
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s
t
t
h
e D
C
co
m
p
o
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e
n
t
s
o
f
t
h
e act
i
v
e p
o
w
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d
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eact
i
v
e
p
o
w
er
s
t
o
n
ear
t
h
e d
es
i
r
ed
v
al
u
e.
F
r
o
m
t
h
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s
,
t
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a
m
p
l
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t
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d
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f
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o
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c
u
r
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en
t
h
a
s
n
ot
ov
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r
s
h
oot
w
he
n
t
h
e
lo
a
d
is
c
h
a
n
g
i
n
g
r
a
p
id
l
y
a
n
d
w
it
h
la
r
g
e
a
m
p
lit
u
d
e
,
w
h
ile
th
e
tr
a
n
s
ie
n
t ti
m
e
is
g
r
e
a
tl
y
r
e
d
u
c
e
d
.
T
he
s
t
r
uc
t
ur
e
of
t
h
e
pa
pe
r
c
on
s
i
s
t
s
of
f
o
u
r
pa
r
t
s
:
pa
r
t
1
g
i
v
e
s
a
n
o
v
e
r
vi
e
w
of
t
h
e
r
e
s
e
a
r
c
h pr
obl
e
m
,
t
h
e
p
-
q
ha
r
m
o
ni
c
d
et
ect
i
o
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m
et
h
o
d
an
d
i
t
s
d
i
s
a
d
v
an
t
a
g
e ar
e an
al
y
zed
i
n
p
ar
t
2
,
p
ar
t
3
i
s
t
h
e i
m
p
r
o
v
ed
p
-
q
h
ar
m
o
n
i
c d
et
ect
i
o
n
m
e
t
h
o
d
,
p
a
r
t 4
is
th
e
r
e
s
u
lts
o
f
s
i
m
u
la
tio
n
a
n
d
d
is
c
u
s
s
io
n
,
th
e
c
o
n
c
lu
s
io
n
s
a
r
e
p
r
e
s
e
n
te
d
i
n
p
a
r
t 5
.
2.
P
-
Q
H
ARM
O
NI
C DE
T
E
CT
I
O
N M
E
T
H
O
D AND I
T
S
D
I
S
ADV
ANT
A
G
E
T
he
p
-
q h
a
r
m
on
i
c
de
t
e
c
t
i
on
m
e
t
h
od i
s
pr
opos
e
d
by
A
k
a
gi
[
8]
a
n
d c
a
n
be
s
um
m
a
r
i
z
e
d a
s
i
n
F
i
gu
r
e
1.
a
u
b
u
c
u
b
L
i
L
a
i
L
c
i
α
u
β
u
3
2
C
3
2
C
pq
C
LPF
LPF
1
−
pq
C
2
3
C
α
i
β
i
p
q
p
q
f
i
α
f
i
β
∑
∑
∑
+
+
+
-
-
-
L
h
a
i
L
h
b
i
L
h
c
i
F
i
gu
r
e
1.
T
h
e
pr
i
n
c
i
pl
e
di
a
g
r
a
m
of
p
-
q
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ar
m
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et
ect
i
o
n
m
et
h
o
d
S
u
ppos
e
,
t
h
r
e
e
-
p
ha
s
e
i
ns
t
a
nt
a
ne
o
us
vo
l
t
a
ge
i
s
s
y
m
m
e
t
r
i
c
:
1
1
1
2
s
i
n(
)
2
2
s
i
n(
)
3
2
2
s
i
n(
)
3
a
b
c
uU
ωt
π
uU
ωt
π
uU
ωt
=
=
−
=
+
(1
)
A
nd
t
hr
e
e
-
p
h
as
e i
n
s
t
an
t
a
n
eo
u
s
cu
r
r
en
t
o
f
l
o
ad
i
s
+
+
=
+
−
=
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=
∑
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∑
∞
=
∞
=
∞
=
1
1
1
3
2
s
in
2
3
2
s
in
2
)
s
in(
2
n
n
n
Lc
n
n
n
Lb
n
n
n
La
t
n
I
i
t
n
I
i
t
n
I
i
ϕ
π
ω
ϕ
π
ω
ϕ
ω
(2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
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8708
In
t
J
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291
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2919
2912
A
c
c
or
di
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t
o F
i
g
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e
1
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h
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−
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t
t
U
u
u
u
C
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u
c
b
a
ω
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β
α
cos
s
in
3
1
32
(3
)
S
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p
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ur
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L
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L
c
+
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=
1
1
32
)
cos
(
)
s
in(
3
i
n
n
i
n
n
Lc
Lb
La
t
n
I
t
n
I
i
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i
C
i
i
ϕ
ω
ϕ
ω
β
α
(4
)
W
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−
−
−
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=
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3
2
3
0
2
1
2
1
1
3
2
32
C
A
c
c
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di
ng
t
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e
1,
w
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a
ve
:
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=
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ω
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ω
i
i
t
t
t
t
U
q
p
s
in
cos
cos
s
in
3
1
(5
)
U
s
in
g
lo
w
-
p
a
s
s
f
ilte
r
to
f
i
lte
r
ta
k
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e
D
C
c
o
m
p
o
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ts
o
f
p a
n
d q.
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q
q
p
p
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~
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)
−
−
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in(
)
cos
(
3
1
1
1
1
1
1
ϕ
ϕ
I
U
I
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q
p
(7
)
W
h
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e:
U
1
a
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1
a
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e
f
und
a
m
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nt
a
l
vo
l
t
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ge
a
nd
c
ur
r
e
nt
r
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o
t
m
e
a
n s
q
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r
e
c
o
m
p
o
ne
nt
s
.
F
r
o
m
F
i
gur
e
1
a
nd
t
he
D
C
c
o
m
p
o
ne
nt
s
p
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nd
q
,
w
e ca
n
cal
cu
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at
ed
t
h
e f
u
n
d
a
m
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n
t
al
h
ar
m
o
n
i
cs
c
u
r
r
en
t
co
m
p
o
n
e
n
t
s
o
f
t
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i
L
a
, i
L
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,
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L
c
f
o
l
l
o
w
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ng
f
o
r
m
ul
a
a
s
+
+
+
−
+
=
=
−
)
3
2
s
in(
2
)
3
2
s
in(
2
)
s
in(
2
3
1
1
1
1
1
1
1
1
23
2
1
ϕ
π
ω
ϕ
π
ω
ϕ
ω
t
I
t
I
t
I
q
p
C
C
U
i
i
i
pq
Lcf
Lbf
Laf
(8
)
w
h
er
e
23
32
T
CC
=
;
−
=
α
β
β
α
u
u
u
u
C
pq
F
r
o
m
he
r
e
,
t
he
ha
r
m
o
ni
c
c
ur
r
e
nt
c
o
m
p
o
ne
nt
s
c
a
n b
e
d
et
er
m
i
n
ed
as
:
Evaluation Warning : The document was created with Spire.PDF for Python.
In
t
J
E
l
e
c
&
C
o
m
p
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n
g
I
S
S
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I
m
pr
ov
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d p
-
q H
ar
m
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c
D
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t
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e
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or
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br
i
d A
c
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i
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(
C
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2913
−
=
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=
−
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L
cf
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ch
L
bf
Lb
L
bh
L
af
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L
ah
i
i
i
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i
i
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i
(9
)
F
r
o
m
(
8
)
w
e
s
ee t
h
at
:
p
-
q
m
e
t
h
od h
a
s
t
h
e
di
s
a
d
v
a
nt
a
g
e
of
d
e
pe
n
di
n
g on t
h
e
s
u
ppl
y
v
ol
t
a
ge
a
n
d l
o
w
-
p
a
s
s
f
ilte
r
(
L
P
F
)
.
W
h
e
n
s
ou
r
c
e
v
ol
t
a
g
e
i
s
n
ot
i
de
a
l
,
P
L
L
bl
oc
k
m
us
t
be
us
e
d [
6]
.
W
h
en
t
h
e l
o
ad
h
as
a
v
ar
i
at
i
o
n
r
ap
i
d
l
y
i
n
a
m
p
l
i
t
u
d
e an
d
p
h
as
e a
n
g
l
e,
t
h
e
L
P
F
s
w
i
l
l
p
r
o
d
u
ce co
m
p
o
n
e
n
t
s
p
a
nd
q
t
h
at
co
n
t
ai
n
un
w
a
nt
e
d
c
o
m
p
o
ne
nt
s
.
A
s
a
r
e
s
ul
t
,
t
he
a
m
p
l
i
t
ud
e
o
f
t
he
s
up
p
l
y
c
ur
r
e
nt
i
nc
r
e
a
s
e
s
d
r
a
m
a
t
i
c
a
l
l
y
i
n
t
r
a
ns
i
e
nt
p
er
i
o
d
,
a l
ar
g
e v
ar
i
at
i
o
n
o
f
act
i
v
e p
o
w
er
an
d
r
eact
i
v
e p
o
w
er
an
d
eas
y
t
o
d
es
t
ab
i
l
i
ze t
h
e
s
y
s
t
e
m
.
I
n
t
h
e p
-
q
m
e
t
ho
d
,
t
he
l
o
w
-
p
a
s
s
f
ilte
r
(
L
P
F
)
d
e
t
e
r
m
i
ne
s
t
he
a
c
c
ur
a
c
y o
f
t
he
m
e
t
ho
d
,
w
h
e
n
t
he
c
ut
-
o
f
f
f
r
e
q
ue
nc
y i
s
ch
o
s
en
t
o
b
e l
ar
g
e,
t
h
e
t
r
an
s
i
e
n
t
t
i
m
e
w
i
l
l
d
ecr
eas
e b
u
t
t
h
e
o
v
er
s
h
o
o
t
i
s
l
ar
g
e a
n
d
t
h
e er
r
o
r
i
s
l
ar
g
e.
T
h
e cu
t
-
o
f
f
f
r
eq
u
en
c
y
i
s
s
m
al
l
,
t
h
e o
v
e
r
s
h
o
o
t
w
i
l
l
d
ecr
eas
e an
d
t
h
e er
r
o
r
i
n
s
t
ead
y
-
s
ta
te
is
s
m
a
ll b
u
t th
e
tr
a
n
s
ie
n
t ti
m
e
w
i
l
l
b
e
v
er
y
l
ar
g
e.
I
n
r
eal
t
i
m
e
ap
p
l
i
cat
i
o
n
s
,
l
o
ad
ch
a
n
g
e
s
r
ap
i
d
l
y
o
v
er
t
i
m
e,
co
m
p
o
n
en
t
s
p
a
nd
q
w
ill
ch
an
g
e at
d
i
f
f
er
e
n
t
f
r
eq
u
e
n
ci
e
s
.
F
ro
m
(6
)
w
e
c
a
n
re
w
ri
t
e
:
p
q
p
pK
p
q
qK
q
=
++
=
++
(
10)
a
n
d (
8)
be
c
om
e
s
:
1
23
2
1
1
3
L
af
p
L
bf
pq
q
L
c
f
i
pK
i
CC
qK
U
i
−
+
=
+
(
11)
p
a
nd
q
w
i
l
l
h
a
v
e s
t
ep
r
es
p
o
n
s
e.
H
o
w
e
v
er
,
act
u
al
p
o
w
er
w
i
l
l
c
h
an
g
e d
u
e t
o
s
y
s
t
e
m
c
h
a
n
g
e
s
.
T
h
e d
i
f
f
er
en
ce
b
et
w
ee
n
t
h
e
act
u
al
v
al
u
e
an
d
t
h
e
r
ef
er
en
ce
v
al
u
e o
f
p
i
s
cal
l
ed
Δ
p
.
S
i
m
i
l
ar
l
y
,
t
h
e
d
i
f
f
er
e
n
ce
b
et
w
ee
n
t
h
e
act
u
al
v
al
u
e
q
an
d
t
h
e
r
ef
er
en
c
e
v
al
u
e
i
s
cal
l
ed
Δ
q
.
D
es
i
r
ed
an
d
act
u
al
v
ar
i
at
i
o
n
o
f
p
a
nd
q
a
r
e
s
ho
w
n i
n
F
i
gu
r
e
2.
(
a)
D
es
i
r
ed
an
d
act
u
al
v
ar
i
at
i
o
n
o
f
p
a
nd
q
(
b
)
D
es
i
r
ed
an
d
act
u
al
v
ar
i
at
i
o
n
o
f
p
a
nd
q
F
i
g
u
r
e 2
.
D
es
i
r
ed
an
d
act
u
al
v
ar
i
at
i
o
n
o
f
p
a
nd
q
F
r
o
m
F
i
g
u
r
e 2
,
w
e
s
ee t
h
at
i
n
t
h
e t
r
a
n
s
i
e
n
t
p
er
i
o
d
t
h
er
e i
s
a d
i
s
cr
ep
an
c
y
b
e
t
w
e
e
n t
he
a
c
t
ua
l
va
l
ue
an
d
t
h
e r
ef
er
en
ce
v
al
u
e.
W
he
n t
he
l
o
a
d
c
ha
n
ge
s
,
t
he
o
ve
r
s
h
o
o
t
i
s
hi
gh,
w
h
i
c
h r
e
s
ul
t
s
i
n a
s
ud
d
e
n i
nc
r
e
a
s
e
i
n
th
e
a
m
p
li
tu
d
e
o
f
t
h
e
s
u
p
p
l
y
c
u
r
r
e
n
t,
le
a
d
in
g
to
s
y
s
te
m
e
a
s
y
i
n
s
ta
b
ili
t
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
88
-
8708
In
t
J
E
l
e
c
&
C
o
m
p
E
n
g
,
V
o
l.
8
, N
o
.
5
,
O
c
t
obe
r
20
18
:
291
0
-
2919
2914
3.
I
M
P
RO
VE
D P
-
Q
H
ARM
O
NI
C DE
T
E
CT
I
O
N M
E
T
H
O
D
T
o i
m
pr
ov
e
t
h
e o
v
er
s
h
o
o
t
an
d
r
ed
u
ce
t
h
e
d
y
n
a
m
i
c
r
es
p
o
n
s
e
t
i
m
e
o
f
t
h
e
t
r
ad
i
t
i
o
n
al
p
-
q
ha
r
m
o
ni
c
de
t
e
c
t
i
on
m
e
t
h
od.
A
n
i
m
pr
ov
e
d p
-
q
ha
r
m
o
ni
c
d
e
t
e
c
t
i
o
n
m
e
t
h
o
d
i
s
gi
ve
n a
s
i
n F
i
gur
e
3
.
LPF
p
p
dt
d
Fuzzy
adjustor
p
∆
∑
∑
-
+
+
+
LPF
q
q
dt
d
Fuzzy
adjustor
q
∆
∑
∑
-
+
+
+
1
−
pq
C
f
i
α
f
i
β
p
K
q
K
F
i
gu
r
e
3.
I
m
pr
ov
e
d p
-
q
h
ar
m
o
n
i
c d
et
ect
i
o
n
m
et
h
o
d
T
h
e
p a
n
d q c
om
pon
e
n
t
s
a
f
t
e
r
pa
s
s
i
ng
L
P
F
w
i
l
l
obt
a
i
n
t
h
e
D
C
c
o
m
pon
e
n
t
s
a
r
e
p
a
nd
q
.
T
h
e
e
rro
r
b
et
w
ee
n
t
h
e act
u
al
v
al
u
e a
n
d
t
h
e r
ef
er
en
ce
v
al
u
e o
f
p
a
nd
q
i
s
p
∆
a
nd
q
∆
,
a
n
d
it is
d
e
n
o
te
d
a
s
(.
)
∆
a
n
d
its
r
a
t
e
d
/
d
t
i
s
t
he
i
np
ut
s
o
f
t
he
f
uz
z
y
r
e
gul
a
t
o
r
,
t
he
o
ut
p
ut
s
o
f
t
he
f
uz
z
y
r
e
gu
l
a
t
o
r
a
r
e
K
p
a
nd
K
q
.
T
hus
(
8
)
c
a
n
b
e
r
e
w
r
it
te
n
a
s
f
o
llo
w
s
:
1
23
2
1
1
3
L
af
p
L
bf
pq
q
L
c
f
i
pK
i
CC
qK
U
i
−
+
=
+
(
12)
T
he
i
np
ut
s
a
nd
o
ut
p
ut
s
o
f
t
he
f
uz
z
y r
e
g
ul
a
t
o
r
a
r
e
s
ho
w
e
d
i
nt
o
s
e
ve
n
m
e
m
b
e
r
s
h
i
p
f
unc
t
i
o
n:
N
e
ga
t
i
ve
B
i
g
(
N
B
)
,
N
eg
at
i
v
e M
ed
i
u
m
(
N
M
)
,
N
eg
at
i
v
e S
m
al
l
(
N
S
)
,
Z
er
o
(
Z
0
)
,
P
o
s
i
t
i
v
e
S
m
al
l
(
P
S
)
,
P
o
s
i
t
i
v
e M
ed
i
u
m
(
P
M
)
,
P
o
s
i
t
i
ve
B
i
g (
P
B
)
a
s
s
ho
w
n i
n F
i
g
ur
e 4
,
an
d
f
u
zz
y
i
n
f
er
en
ce ar
e s
h
o
w
n
i
n
T
ab
l
e 1
.
NB
NM
NS
ZO
PS
PM
PB
-
1
0
-
0
.
4
-
0
.
2
0
.
2
0
.
4
1
(.
)
∆
0
.
1
-
0
.
1
-
1
0
-
0
.
4
-
0
.
2
0
.
2
0
.
4
1
NB
NM
NS
ZO
PS
PM
PB
dt
d
/
-
1
0
-
0
.
4
0
.
1
0
.
2
1
NB
NM
NS
ZO
PS
PM
PB
-
0
.
2
-
0
.
1
0
.
4
Kq
Kp
,
F
i
gu
r
e
4.
M
e
m
be
r
s
h
i
p
f
un
c
t
i
o
n
s
of
i
n
put
/
ou
t
p
u
t
B
a
s
e
d on
F
i
gu
r
e
2 a
n
d F
i
gu
r
e
3,
w
e
h
a
v
e
t
h
e
c
ont
r
ol
l
a
w
s
of
K
p
a
nd
K
q
a
s
f
o
llo
w
s
:
1)
I
f
Δ
(.
)
=
0
,
t
he
n
K
p
,
K
q
m
u
s
t
b
e zer
o
.
2)
I
f
Δ
(.
)
i
s
N
S
o
r
P
S
,
t
he
n
K
p
,
K
q
s
h
o
u
l
d
b
e zer
o
3)
F
o
r
l
ar
g
e v
al
u
e o
f
Δ
(.
)
,
a s
m
al
l
K
p
,
K
q
i
s
r
eq
u
i
r
ed
an
d
f
o
r
s
m
a
l
l
v
al
u
e o
f
Δ
(.
)
,
a l
ar
g
e
K
p
,
K
q
i
s
r
eq
u
i
r
ed
.
4)
F
o
r
p
o
s
i
t
i
ve
va
l
ue
s
o
f
Δ
(.
)
a
nd
d/
dt
,
ne
ga
t
i
ve
va
l
ue
s
o
f
K
p
,
K
q
ar
e r
eq
u
i
r
ed
an
d
f
o
r
n
eg
at
i
v
e
v
al
u
e
s
o
f
Δ
(.
)
a
nd
d/
dt
,
p
o
s
i
t
i
ve
va
l
ue
s
o
f
K
p
,
K
q
ar
e r
eq
u
i
r
ed
.
Evaluation Warning : The document was created with Spire.PDF for Python.
In
t
J
E
l
e
c
&
C
o
m
p
E
n
g
I
S
S
N
:
2088
-
8708
I
m
pr
ov
e
d p
-
q H
ar
m
oni
c
D
e
t
e
c
t
i
on M
e
t
hod f
or
H
y
br
i
d A
c
t
i
ve
...
(
C
hau M
i
nh T
huy
e
n)
2915
5)
F
o
r
p
o
s
i
t
i
ve
va
l
ue
s
o
f
Δ
(.
)
a
nd
ne
ga
t
i
ve
va
l
ue
s
o
f
d/
dt
,
ne
ga
t
i
ve
va
l
ue
s
o
f
K
p
,
K
q
ar
e r
eq
u
i
r
ed
an
d
f
o
r
ne
ga
t
i
ve
va
l
ue
s
o
f
Δ
(.
)
a
nd
p
o
s
i
t
i
ve
va
l
ue
s
o
f
d/
dt
,
p
o
s
itiv
e
v
a
lu
e
s
o
f
K
p
,
K
q
ar
e r
eq
u
i
r
ed
.
T
ab
l
e
1
.
F
u
zz
y
r
u
l
es
K
p
, K
q
d
/
d
t
NB
NM
NS
Z0
PS
PM
PB
Δ(.
)
NB
PB
PM
PM
PM
PS
PS
PS
NM
PM
PM
PS
PS
PS
PS
PS
NS
PS
Z0
Z0
Z0
Z0
Z0
PS
Z0
Z0
Z0
Z0
Z0
Z0
Z0
Z0
PS
NS
Z0
Z0
Z0
Z0
Z0
NS
PM
NM
NM
NS
NS
NS
NS
NS
PB
NB
NM
NM
NM
NS
NS
NS
4.
S
I
M
UL
AT
I
O
N R
E
S
UL
T
S
AND DI
S
CUS
S
I
O
N
T
o
d
em
o
n
s
t
r
at
e t
h
e e
f
f
ect
i
v
en
es
s
o
f
t
h
e
i
m
p
r
o
v
ed
p
-
q
h
a
r
m
o
n
i
c
de
t
e
c
t
i
on
m
e
t
h
od c
o
m
pa
r
e
d
w
i
t
h
t
h
e
tr
a
d
itio
n
a
l p
-
q
ha
r
m
o
ni
c
d
e
t
e
c
t
i
o
n
m
e
t
ho
d
,
s
i
m
ul
a
t
i
o
n r
e
s
ul
t
s
w
e
r
e
pe
r
f
or
m
e
d
on
a
380V
-
50H
z
H
A
P
F
m
ode
l
a
s
s
ho
w
n
i
n F
i
gur
e
5
.
Z
S
U
S
C
F
C
1
L
1
0
L
0
C
Transformer
Nonlinear
load
Harmonic
detection
X
controller
PWM
Pulse
generation
+
-
dc
V
s
i
L
i
F
i
_
Lhabc
i
_
Fhabc
i
Inverter
+
-
F
i
gu
r
e
5.
H
A
P
F
m
ode
l
N
o
n
l
i
n
ear
l
o
ad
s
ar
e m
o
d
el
ed
b
y
a t
h
r
ee
-
p
h
a
s
e
u
n
c
o
n
tr
o
lle
d
b
r
id
g
e
r
e
c
tif
ie
r
w
it
h
R
L
C
lo
a
d
(
0
÷
0
.
2
s
)
a
n
d t
h
e
n t
h
e
l
oa
d c
h
a
ng
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I
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20
88
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8708
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
88
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8708
In
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[
1]
D
.
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“
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v
ol
.
5,
pp
.
8
96
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4,
20
15.
[
2]
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K
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an
d C
o
m
put
e
r
E
ngi
ne
e
r
i
ng
(
I
J
E
C
E
)
,
v
ol
.
1,
p
p.
31
-
42,
2
011
.
[
3]
N
.
S
.
H
as
an
,
et
a
l
.
,
“
H
a
r
m
oni
c
S
upp
r
e
s
s
i
on
of
S
h
unt
H
y
br
i
d F
i
l
t
e
r
us
i
ng
L
Q
R
-
P
S
O
b
as
ed
,
”
I
nt
e
r
n
at
i
o
nal
J
o
ur
na
l
of
E
l
e
c
t
r
i
c
al
an
d C
om
pu
t
e
r
E
n
gi
n
e
e
r
i
ng (
I
J
E
C
E
)
,
vo
l
.
7,
pp
.
8
69
-
8
76
,
20
17
.
[
4]
M
.
T
.
C
h
au
,
“A
d
ap
tiv
e
C
u
r
r
e
n
t C
o
n
tr
o
l M
e
t
h
o
d
f
o
r
H
y
b
r
id
A
c
tiv
e
P
o
w
e
r
F
ilte
r
,
”
J
our
nal
of
E
l
e
c
t
r
i
c
al
E
ngi
ne
e
r
i
ng
,
vo
l
.
6
7,
pp
.
3
43
-
35
0,
2
01
6.
[
5]
M
.
T
.
C
ha
u,
et
a
l
.
,
“
N
o
v
e
l C
o
n
tr
o
l M
e
th
o
d
a
H
y
b
r
id
A
c
ti
v
e
P
o
w
e
r
F
ilte
r
w
ith
I
n
je
c
tio
n
C
ir
c
u
it
U
s
in
g
a
H
y
b
r
id
F
u
zzy
C
o
n
t
r
o
l
l
er
,
”
Jo
u
r
n
a
l
o
f
P
o
w
er
E
l
ect
r
o
n
i
cs
,
vo
l
.
1
2,
pp
.
8
00
-
812
,
2
01
2.
[
6]
M
. C
h
a
u
,
et
a
l
., “
O
nl
i
ne
C
ont
r
o
l
M
e
t
ho
d w
i
t
h T
i
m
e
-
D
el
a
y
C
o
m
p
en
s
at
i
o
n
f
o
r
H
y
b
r
id
A
c
ti
v
e
P
o
w
e
r
F
ilte
r
w
ith
I
n
je
c
tio
n
C
ir
c
u
it
,
”
I
E
T
P
o
w
er
E
l
e
ct
r
o
n
i
cs
,
vo
l
.
5
,
p
p.
14
72
-
14
82
,
20
1
2.
[
7]
P
.
M
.
N
i
co
l
ae
a
nd
D
.
L
.
P
op
a
, “
R
eal
-
T
i
m
e
I
m
pl
e
m
e
nt
a
t
i
on of
S
om
e
F
our
i
e
r
T
r
a
ns
f
or
m
B
a
s
e
d
T
e
c
hni
que
s
f
or
F
u
n
d
am
en
t
al
H
ar
m
o
n
i
c D
et
ect
i
o
n
U
s
i
n
g
D
s
p
ace
,
”
18
th
E
ur
ope
an C
o
nf
e
r
e
nc
e
on P
ow
e
r
E
l
e
c
t
r
oni
c
s
and
A
ppl
i
c
at
i
ons
(
E
P
E
'
1
6 E
C
C
E
E
ur
ope
)
,
pp.
1
-
7
,
20
16
.
[
8]
H
.
A
ka
gi
,
e
t a
l.
,
“G
en
er
al
i
zed
T
h
eo
r
y
o
f
I
n
s
t
an
t
an
eo
u
s
R
ea
ct
i
v
e P
o
w
er
a
nd
I
ts
A
p
p
lic
a
ti
o
n
,
”
E
l
ect
r
i
ca
l
E
ngi
ne
e
r
i
ng of
J
ap
an
,
vo
l
.
10
3,
pp
.
48
3
-
4
90,
19
83
.
[
9]
F
.
H
.
B
en
al
i
an
d
F
.
A
zzo
u
z,
“C
o
m
p
ar
i
s
o
n
o
f
I
n
s
t
an
t
an
eo
u
s
R
eact
i
v
e an
d
N
o
t
ch
F
i
l
t
er
A
l
g
o
r
i
t
h
m
s
S
ev
en
L
ev
el
P
a
r
a
lle
l A
c
tiv
e
F
ilte
r
,
”
I
nt
e
r
nat
i
o
nal
J
o
ur
n
al
o
f
E
l
e
c
t
r
i
c
al
a
nd C
o
m
put
e
r
E
n
gi
ne
e
r
i
n
g (
I
J
E
C
E
)
,
v
ol
.
7,
pp.
17
79
-
178
8
,
2
01
7.
[
1
0]
N
.
S
.
R
a
o a
n
d H
.
J
.
J
a
y
a
t
he
e
r
t
h
a
,
“
M
ode
l
i
ng
a
nd S
i
m
ul
a
t
i
o
n of
V
a
r
i
o
us
S
R
F
M
e
t
ho
ds
f
or
S
hu
nt
A
c
t
i
v
e
P
ow
e
r
F
ilte
r
a
n
d
A
p
p
lic
a
ti
o
n
t
o
B
L
D
C
D
r
iv
e
,
”
I
nt
e
r
nat
i
o
nal
J
our
n
al
o
f
A
dv
anc
e
d E
ng
i
ne
e
r
i
n
g R
e
s
e
ar
c
h and
St
udi
e
s
,
v
o
l
.
1,
p
p.
18
-
2
2,
20
12
.
[
1
1]
L
.
A
s
i
m
i
n
o
aei
,
e
t a
l.
,
“E
v
al
u
at
i
o
n
o
f
H
ar
m
o
n
i
c D
et
ect
i
o
n
M
et
h
o
d
s
f
o
r
A
ct
i
v
e P
o
w
er
F
i
l
t
er
A
ppl
i
c
a
t
i
ons
,
”
I
E
E
E
A
ppl
i
e
d P
ow
e
r
E
l
e
c
t
r
oni
c
s
C
o
nf
e
r
e
nc
e
and
E
x
pos
i
t
i
o
n,
v
o
l.
1,
p
p.
635
-
6
41,
20
05
.
[
1
2]
R
.
D
e
hi
ni
,
e
t a
l.
,
“T
h
e H
ar
m
o
n
i
cs
D
et
ect
i
o
n
M
et
h
o
d
B
as
ed
o
n
N
e
u
r
al
N
et
w
o
r
k
A
p
p
l
i
ed
t
o
H
ar
m
o
n
i
cs
C
om
pe
ns
a
t
i
on,
”
I
n
t
e
r
nat
i
on
al
J
o
ur
nal
of
E
n
gi
ne
e
r
i
n
g,
Sc
i
e
nc
e
a
n
d T
e
c
hn
ol
ogy
,
vo
l
.
2,
pp
.
2
58
-
2
6
7,
2
01
0.
[
1
3]
D.
O
.
A
bde
s
l
a
m
,
et
a
l
.,
“
H
ar
m
o
n
i
c I
d
en
t
i
f
i
c
a
t
i
on B
a
s
e
d
on A
N
N
:
A
C
o
m
pa
r
a
t
i
v
e
S
t
udy
,
”
9
th
I
n
t
e
r
n
at
i
on
al
C
onf
e
r
e
nc
e
o
n E
n
gi
ne
e
r
i
ng A
pp
l
i
c
at
i
o
ns
of
N
e
ur
al
N
e
t
w
or
k
s
-
(
E
A
N
N
'
20
05
)
,
L
i
l
l
e,
F
r
an
ce,
p
p
.
2
4
-
31
,
20
05
.
[
1
4]
W
e
nj
ua
n L
.
,
e
t a
l.
, “
A
ct
i
v
e P
o
w
er
F
i
l
t
er
B
as
ed
o
n
F
B
D
C
u
r
r
e
n
t
D
et
ec
tio
n
,”
11
th
I
nt
e
r
n
at
i
on
al
C
onf
e
r
e
nc
e
o
n
C
om
put
e
r
Sc
i
e
nc
e
&
E
duc
at
i
on (
I
C
C
SE
)
,
pp.
8
39
-
8
43
,
20
16
.
[
1
5]
C
.
Y
u
an
,
et
a
l
., “
I
m
p
r
o
v
ed
F
B
D
R
eact
i
v
e P
o
w
er
an
d
H
ar
m
o
n
i
c C
u
r
r
en
t
D
et
ect
i
n
g
M
et
h
o
d
B
as
ed
o
n
V
o
l
t
ag
e
S
e
que
nc
e
D
e
c
om
pos
i
t
i
on
,
”
12
th
I
E
E
E
I
n
t
e
r
nat
i
on
al
C
onf
e
r
e
nc
e
on E
l
e
c
t
r
o
ni
c
M
e
as
ur
e
m
e
nt
&
I
ns
t
r
um
e
nt
s
(
ICE
M
I)
,
pp.
5
67
-
5
72
,
20
15
.
[
1
6]
W
.
Li
u
,
et
a
l
., “
H
a
r
m
oni
c
C
ur
r
e
n
t
D
e
t
e
c
t
i
on A
l
g
or
i
t
hm
B
a
s
e
d on t
he
I
m
pr
ov
e
d F
B
D
M
e
t
ho
d a
n
d I
t
s
A
ppl
i
c
a
t
i
on i
n
A
ct
i
v
e P
o
w
er
F
i
l
t
er
s
,
”
A
si
a
-
P
ac
i
f
i
c
P
ow
e
r
a
nd E
ne
r
gy
E
ngi
ne
e
r
i
n
g C
o
nf
e
r
e
nc
e
,
p
p
. 1
-
5
,
20
12
.
[
1
7]
Q
.
Y
ilo
n
g
,
e
t a
l.
,
“A
n
A
d
ap
t
i
v
e H
ar
m
o
n
ic
D
e
te
c
tio
n
M
e
th
o
d
U
s
in
g
F
u
z
z
y
L
M
S
A
lg
o
r
ith
m
,
”
A
ut
om
at
i
on of
E
l
ect
r
i
c P
o
w
er
S
ys
t
em
s
,
v
ol
.
3
2,
pp.
71
-
75
,
20
08
.
[
1
8]
L
.
H
ui
a
n
d Z
.
Y
u
n
p
i
n
g
,
“A
N
o
v
el
A
d
ap
t
i
v
e H
ar
m
o
n
i
c D
et
ect
i
o
n
A
l
g
o
r
i
t
h
m
B
as
ed
V
ar
i
ab
l
e
S
t
ep
s
i
ze L
M
S
,
”
Au
to
m
a
tio
n
o
f Ele
c
tr
ic
P
o
w
e
r
S
y
s
te
m
s
, v
o
l
.
2
9,
pp.
6
9
-
7
3,
20
05.
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