In
te
r
n
ation
a
l Jou
rn
al
o
f Po
we
r
Elec
tron
ic
s an
d
D
r
ive S
y
stem
(IJ
PED
S
)
V
o
l.
10, N
o.
3, S
ep 2019,
pp.
1
3
3
9
~1
3
4
6
ISSN: 2088-
8694,
DOI
:
10.11591
/ijpeds.
v10.
i
3.pp1339-1346
1339
Jou
rn
a
l
h
o
me
pa
ge
:
ht
tp:
//i
a
e
score
.
com
/
j
o
u
r
na
l
s
/
i
n
d
e
x
.
p
hp/IJ
PED
S
C
o
mparisons of P
I and AN
N cont
rollers for shunt
HPF based
on STF-PQ Algorithm under
distorted grid voltage
Moh
a
med
A
s
gh
aiye
r Omr
a
n
1
,
Izzeldin. I
. Ib
r
ahim
2
,
A
b
u
Z
a
h
a
r
i
n
A
h
m
a
d
3
,
M
o
ha
med Sa
lem
4
,
Moh
a
mad
Milood A
l
m
elian
5
, Aw
a
n
g
Jusoh
6
,
T
o
l
e
S
ut
ik
no
7
1
,
2,
3,
5
F
acult
y
of E
lectri
cal an
d
E
lect
r
oni
cs
E
ng
in
e
e
ring
,
U
n
i
v
ersi
ti M
alay
si
a P
a
han
g
, M
a
l
ays
i
a
4
S
c
ho
ol
o
f Electri
cal an
d
Elect
ro
nic
En
g
i
n
e
e
r
in
g,
Unive
rs
iti
S
a
i
ns M
alay
s
i
a, M
alay
si
a
6
Faculty of
E
l
ectrical Eng
i
n
eeri
n
g,
Univers
iti Tek
n
ol
ogi
Mal
a
ys
ia
,
M
a
la
ys
ia
7
Dep
a
rt
m
e
nt
o
f E
l
ectri
cal E
ng
ineering
, U
n
i
versitas
Ah
m
ad
D
ahla
n
,
Ind
on
e
s
ia
Art
i
cl
e In
fo
ABSTRACT
A
r
tic
le hist
o
r
y
:
R
e
c
e
i
v
e
d
No
v
1
8
,
2
018
Re
vise
d F
e
b 22,
201
9
Ac
ce
p
t
ed
M
ar 2
0
,
2
019
Thi
s
p
aper
p
rop
o
s
e
s
a
s
h
unt
hybri
d
p
ower
f
il
t
e
r
(H
PF)
f
o
r
ha
rm
o
ni
c
cu
rrents
and
react
iv
e
p
o
wer
com
p
ens
a
tio
n
u
n
d
er
a
d
istorted
v
oltage
a
nd
i
n
a
polluted
env
i
ro
nm
ent.
F
o
r
t
hi
s
p
u
rp
ose
,
t
h
e
r
eferen
ce
c
u
rrent
o
f
t
h
e
s
h
u
nt
H
PF
i
s
com
p
uted
b
as
ed
o
n
t
h
e
inst
an
t
a
neou
s
react
ive
p
o
w
e
r
(p-q)
t
h
eo
ry
w
i
t
h
s
e
l
f
-
tu
ni
ng
f
i
lt
e
r
(
STF
)
.
In
o
rder
t
o
ad
jus
t
t
h
e
d
c
v
o
l
t
ag
e
as
a
r
e
f
ere
n
ce
v
a
lu
e,
PI
a
nd
A
NN
c
ontrol
l
e
rs
h
ave
b
een
u
tilized.
Mo
reover,
t
h
e
system
h
a
s
b
e
e
n
i
m
p
l
e
m
e
n
t
e
d
a
n
d
s
i
m
u
l
a
t
e
d
i
n
a
M
A
T
L
A
B
-
S
I
M
U
L
I
N
K
p
l
a
t
f
o
r
m
,
a
n
d
sel
ected
r
esu
l
t
s
a
re
p
res
e
nt
ed.
Th
ere
f
o
r
e,
t
he
r
esu
l
t
s
v
erifi
e
d
t
he
g
oo
d
dy
nam
i
c
perf
orm
a
n
ce,
t
ran
s
i
e
nt
s
t
a
bilit
y
a
nd
st
rong
r
o
bus
tn
ess
of
t
he
A
NN
controller.
Fur
t
herm
ore,
t
he
s
hunt
H
A
PF
w
ith
ANN
cont
ro
l
l
e
r
h
as
b
een
fo
un
d
to
b
e
in
a
g
r
e
e
m
e
n
t
wi
th
t
h
e
I
EE
E
5
1
9
-
19
92
s
ta
nd
a
r
d
re
c
o
mm
endation
s
on
h
arm
o
nic
levels.
K
eyw
ord
s
:
ANN
c
o
n
t
r
o
ll
e
r
P
I
contro
l
l
er
Re
ac
t
i
ve
p
ow
er
Sel
f-t
uni
ng
fi
l
t
er
S
hun
t h
ybr
id
f
i
l
ter
Co
pyri
gh
t © 2
019 In
stit
u
t
e
of Advanced
En
gi
neeri
n
g
an
d
S
c
ien
ce.
All
rights
res
e
rv
ed.
Corres
pon
d
i
n
g
Au
th
or:
Mo
ham
e
d A
s
g
h
a
i
ye
r O
m
ra
n,
F
a
cult
y
o
f
E
l
e
c
t
rica
l
and
E
l
e
c
t
r
on
ics En
gi
nee
r
in
g,
Uni
v
ersi
ti
M
al
ays
i
a P
a
ha
ng
,
P
e
kan 26
6
00,
P
a
h
ang,
Ma
l
ay
sia.
Em
ail:
omra
nmoha
me
d3
4
6
@
y
a
h
oo.c
o
m
1.
I
N
TR
OD
U
C
TI
O
N
I
n
pow
e
r
s
ys
t
e
m
s
,
h
a
rm
onic
dis
t
ort
i
o
n
i
s
a
ma
jor
pow
e
r
qual
i
t
y
p
r
obl
em.
Ha
rmo
n
i
cs
a
re
o
f
t
en
gene
ra
ted
in
t
h
e
pow
e
r
s
yste
m
s
w
hen
t
h
e
r
e
ar
e
nonli
n
ea
r
l
o
ad
s
s
uc
h
a
s
a
c
ontr
o
l
l
ed
r
e
c
t
i
fier,
in
duc
t
i
ve
l
oa
ds,
a
n
d
si
ngl
e
-
p
h
a
se
o
r
t
h
ree
-
ph
a
s
e
un
-co
n
t
ro
ll
ed
d
iod
e
r
e
c
t
i
f
ie
rs
[1].
H
a
r
monic
s
i
n
t
h
e
p
o
w
er
s
our
ce
res
u
l
t
s
i
n
the
h
e
at
i
ng u
p
of
t
h
e t
r
ans
f
orm
e
r
s
,
pow
er fa
c
t
or
r
e
duc
t
i
on,
e
le
c
t
ro
ma
g
n
e
t
i
c
int
e
rf
ere
n
ce
(EM
I
),
a
n
d
d
amag
e
t
o
power
e
l
e
c
t
ro
n
i
cs
d
e
v
ice
[2-5
]
.
I
t
i
s
,
t
h
er
efor
e
,
n
ec
essary
t
o
e
n
sur
e
t
ha
t
t
h
e
domi
n
a
n
t
har
m
onic
s
i
s
re
du
c
e
d
to
less
t
h
a
n
5
%
as
s
ti
pu
la
te
d
by
the
in
terna
t
i
ona
l
s
t
an
d
a
rds
suc
h
as
I
EC10
00
-3
-2,
IEC1
00
0
-
3
-
4
,
a
nd
IEEE519-1992 [6]. For
a
n
ef
ficien
t power s
y
stem
operation, i
t i
s com
p
u
l
s
o
ry t
o
m
i
nim
i
ze
t
he pow
e
r
sys
t
e
m
s
’
h
a
rmo
n
i
c
c
onte
n
ts
a
nd
a
s
s
u
c
h
,
v
a
ri
ou
s
t
ools
f
o
r
th
e
re
gu
l
a
t
i
on
o
f
har
m
onics
such
a
s
th
e con
v
e
n
t
i
ona
l p
a
ssi
ve
pow
er
f
i
l
ter
s
(
P
P
F),
hybr
i
d
pow
e
r
f
ilte
rs
(
H
P
F
)
,
a
nd
act
i
v
e
p
o
w
er
f
ilte
r
s
(
APF
)
h
ave
be
en
d
eve
l
op
ed
[
7]
.
H
o
w
e
ve
r,
t
he
H
P
F
s
have
b
e
e
n
t
h
e
m
o
st
a
p
p
ro
priate
s
ol
u
tio
ns
f
or
p
o
w
e
r
qu
a
l
i
t
y
i
m
prove
me
n
t
b
ut
t
he
deve
l
opm
en
t
o
f
a
h
y
b
rid
filte
r
thro
ug
h
the
c
o
m
b
i
n
a
tio
n
o
f
b
o
t
h
P
P
F
and
A
P
F
can
b
e
a
be
tte
r
so
lut
i
o
n
sinc
e
t
h
e
a
d
v
a
n
t
ag
es
o
f
t
h
e
seed
f
i
lte
rs
(
i
.
e.
t
h
e
r
e
d
u
c
t
i
o
n
o
f
t
h
e
a
c
t
i
v
e
c
o
nve
r
t
ers’
V
A
ratin
g
t
o
e
ns
ure
a
m
i
n
i
m
i
z
e
d
overa
ll
c
o
st,
e
l
ec
t
r
oma
g
n
e
t
i
c
in
te
rfer
ence
a
nd
l
osse
s)
w
i
ll
be
re
t
a
i
n
e
d
[
8
]
.
Se
v
e
ra
l
con
t
r
o
l
st
rat
e
gi
es
h
ave
bee
n
d
e
v
e
l
ope
d
for
t
h
e
de
t
e
rm
i
n
a
t
i
on
of
t
h
e
r
e
active
a
nd
ha
rm
on
ic
l
oa
d
c
u
rre
nt
c
omp
o
n
en
ts.
S
u
ch
s
tr
ateg
ie
s
i
n
clu
d
e
t
h
e
p–q
t
he
o
r
y
a
n
d
t
h
e
SRF
whi
c
h
h
a
v
e
p
erfo
rme
d
e
qu
a
l
l
y
a
l
t
h
oug
h
t
h
e
i
r
d
i
f
f
e
r
en
c
e
s
are
ev
id
en
t
w
h
en
w
ork
i
n
g
un
d
er
u
n
b
a
l
anc
e
d a
nd d
i
s
t
orte
d A
C
vo
l
tages
[9-1
2].
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
n
t
J Po
w
Elec
&
Dr
i
Sy
st,
Vo
l. 1
0
,
No
. 3
,
S
e
p
2
019
:
1
3
3
9
–
1
346
1
340
T
h
e
s
e
l
f
-
t
u
n
i
n
g
f
i
l
t
e
r
s
(
S
T
F
)
c
l
a
s
s
i
c
a
l
P
Q
t
h
e
o
r
y
s
e
r
v
e
d
a
s
t
h
e
b
asi
s
i
n
th
is
p
ap
er
f
o
r
t
h
e
g
en
e
r
a
t
ion
of
t
he
s
hu
n
t
H
A
P
F
contr
o
l
r
e
fe
r
e
nc
e
cur
r
ent
un
der
dis
t
o
r
te
d
v
o
l
ta
ge
c
o
n
d
iti
on
s.
T
he
S
TF
i
s
depl
o
y
e
d
f
or
t
he
dir
e
c
t
e
x
t
r
a
c
t
i
o
n
of
t
he
f
u
nda
m
e
ntal
c
om
p
o
n
en
ts
f
r
o
m
ele
c
tr
i
c
a
l
s
i
g
n
a
l
s
u
nd
e
r
d
i
s
t
o
r
t
ed
v
o
l
t
a
g
e
c
ondi
ti
on
s
in
the
α-
β
r
e
f
e
r
e
nce
fr
a
m
e
.
T
he
m
ajor
c
om
pone
n
t
o
f
t
h
e
A
P
F
ope
r
a
t
i
o
n
i
s
t
h
e
c
o
n
t
r
o
l
l
e
r
a
n
d
h
a
s
a
t
t
r
a
c
t
e
d
num
er
ous
r
e
s
e
a
r
c
h
at
te
nt
i
o
n
r
ece
ntl
y
[
1
3-
15
]
.
T
he
h
a
r
m
onic
c
u
r
r
e
nt
a
n
d
D
C
vo
l
t
a
g
e
of
t
h
e
s
h
u
n
t
H
A
P
F
ha
ve
of
t
e
n
be
e
n
c
o
n
tr
ol
le
d
us
i
n
g
the
c
o
n
v
e
n
ti
o
n
a
l
cur
r
ent
a
n
d
vo
l
t
a
g
e
c
ont
ro
ll
ers;
h
o
w
ev
er,
t
h
e
s
e
c
o
nv
e
n
t
i
o
n
a
l
tec
h
n
i
q
u
e
s
r
e
quire
a
p
re
cise
l
inea
r
m
a
t
h
e
m
atica
l
s
yste
m
m
odel
i
n
g,
a
nd
t
h
is
i
s
d
i
ff
icu
l
t
to
a
c
h
ie
v
e
unde
r
d
i
ff
e
r
e
n
t
p
a
r
a
m
e
te
r
s
,
lo
a
d
d
i
s
t
u
r
b
a
n
c
e
s,
a
n
d
n
o
n
-
l
in
e
a
r
i
t
y
.
T
h
e
se
l
i
m
it
a
t
i
o
n
s
can
b
e
add
r
esse
d
by
d
epl
o
yi
ng
A
N
N
c
ontr
o
ll
er
s
[10]
;
he
nc
e,
i
n
t
h
i
s
p
a
p
e
r
,
t
h
e
bac
k
pr
o
p
aga
tio
n
n
e
t
w
o
r
k
(
A
N
N
)
c
ont
r
o
ller
sche
me
s
ar
e
pr
opose
d
f
or
t
he
r
e
g
u
l
a
tio
n
of
D
C
-
l
i
n
k
v
o
lta
ge
a
n
d
h
a
r
monic
c
u
r
r
e
nt
t
o
im
pr
ove
t
he
p
e
r
f
o
r
m
anc
e
s
o
f
shun
t
HAP
F
.
2.
S
E
LF-
T
UNING
F
ILTER
B
ASED
O
N
INS
T
AN
T
ANEOUS
ACT
IVE
AND
REA
C
TIVE
P
OWER
(
P
Q)
T
HEO
R
Y
M
E
THO
D
The
m
o
s
t
s
ig
nif
i
can
t
as
pec
t
o
f
th
is
a
dv
anc
e
d
c
o
ntr
o
l
is
t
he
s
e
l
f-tu
ni
n
g
fi
lt
e
r
;
it
a
nnu
l
s
t
h
e
c
o
n
t
r
i
b
u
t
i
o
n
o
f
t
he
P
LL
t
o
t
he
o
bser
ve
d
di
st
u
r
ba
nce
s
a
nd
e
f
f
i
c
i
e
n
t
l
y
fi
lter
s
t
he
c
ur
r
e
nts
in
t
he
α
-
ß
a
xi
s.
Base
d
on
F
i
g
u
r
e
1
[
16]
,
the
ou
t
p
u
t
s
i
gna
ls
c
a
n
b
e
r
e
pr
e
s
e
n
te
d
b
y:
X
s
K
S
X
S
X
s
ω
s
∗
X
s
(
1
)
X
s
K
S
X
S
X
s
ω
s
∗
X
s
(
2
)
Th
us,
th
e
S
T
F
c
a
n
be
u
se
d
f
o
r
t
h
e
r
e
tr
ie
va
l
of
t
he
b
as
ic
c
om
pon
e
n
ts
f
r
o
m
the
di
s
t
orte
d
elec
trica
l
si
gna
ls
w
it
h
o
u
t
a
m
p
li
t
u
de
c
ha
nge
s
or
phase
d
ela
y
.
F
i
gur
e
1.
S
elf-
tun
i
ng
f
i
lter
The
P
Q
t
he
or
y
a
p
p
l
ies
Cl
a
r
ke
t
r
a
nsf
o
r
m
a
tio
n
t
o
c
ur
r
e
nt
s
a
nd
vo
l
ta
ges
fr
o
m
t
he
3
-
pha
se
t
o
a
2-
pha
se
sys
t
em
’
,
w
hich
d
e
f
in
es
t
he
i
n
s
ta
nta
n
e
o
us
pow
er
s.
T
he
3
-
pha
se
l
o
ad
c
ur
r
e
nt
i
s
c
onv
e
r
ted
int
o
α
-
β
u
s
i
n
g
,
r
e
spec
tive
l
y
[
1
7]
.
I
I
T
I
I
I
(
3
)
Whe
r
e
T
is th
e
t
ran
s
fo
rmation
matrix
a
s
2
3
1
1
2
1
2
0
√
3
2
√
3
2
(4
)
Ev
ide
n
tl
y,
t
he
c
ur
r
e
nts
i
n
t
he
α
-
β
a
xis
c
a
n
be
r
educe
d
t
o
th
eir
D
C
a
nd
A
C
c
om
po
ne
nt
s
r
e
spe
c
t
i
v
e
l
y
by:
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
C
o
m
p
a
r
is
o
n
s o
f
PI
and AN
N c
o
n
t
r
o
l
l
e
rs
f
o
r
shu
n
t
H
PF … (Mo
ham
e
d
A
s
g
h
a
i
ye
r O
m
r
an)
1
341
I
I
I
(
5
)
I
I
I
(
6
)
The
S
T
F
i
s
t
he
n
used
t
o
dire
c
t
l
y
e
x
t
ra
ct
t
he
b
as
ic
c
urre
nt
s’
c
o
m
p
one
n
t
s
a
t
t
he
p
u
l
sa
ti
on
i
n
the
α-
β
ax
is
b
e
f
ore
s
u
btra
ct
in
g
the
STF
s
’
in
pu
t
si
g
n
als
fro
m
t
h
e
co
rre
s
pon
di
n
g
o
ut
put
s
t
o
c
o
m
put
e
th
e
lo
a
d
curr
ents’
α-β
h
a
r
m
o
n
i
c
c
o
mpo
n
e
n
ts.
T
h
e
alter
n
a
t
i
ng
c
o
m
pone
n
t
s,
I
and
I
w
h
i
c
h
c
o
r
r
e
s
p
o
n
d
s
t
o
t
h
e
l
o
a
d
curr
ents’
harm
on
i
c
c
omp
one
nts
in
t
he
s
t
a
ti
o
n
ar
y
r
e
fe
renc
e
fram
e
a
re
t
he
out
p
u
t
si
g
n
a
l
s.
R
e
g
ardi
n
g
t
he
s
ourc
e
vo
lta
ge,
the
3
vo
ltage
s
V
,
V
an
d
V
a
r
e
transfor
me
d to α-
β
re
f
er
ence
fr
a
m
e
t
hus
:
V
V
2
3
T
V
V
V
(
7
)
The
act
ive
an
d r
eac
tive
in
st
a
n
ta
neo
u
s p
o
we
r ‘p’ a
nd ‘q’
are gi
v
en
b
y
PP
P
,
P
I
∗V
+
I
∗V
(
8
)
QQ
Q
.
QI
∗V
+
I
∗V
(9
)
Whe
r
e
P
,
Q
=
f
un
dam
e
nta
l
c
om
po
ne
nt
s,
P
,
Q
=
a
l
t
e
r
n
a
t
i
v
e
c
o
m
p
o
n
e
n
t
s
.
P
,
Q
(
P
o
we
r
com
pone
nts
)
w
hich
relat
e
s to the
α-β
o
f
the
sam
e
c
u
rren
t
s
a
n
d
vo
lt
ag
es
c
an
b
e
e
x
p
re
sse
d
t
hus
:
P
Q
V
V
V
V
(
1
0
)
H
a
vi
n
g
a
d
d
ed
t
he
r
e
quired
a
c
tive
pow
er
f
or
t
he
r
e
gula
tion
of
t
h
e
D
C
bus
v
ol
ta
ge
P
t
o
t
h
e
A
C
com
p
o
n
e
n
t
o
f
t
he
i
ns
t
a
n
t
a
n
eo
us
r
e
a
l
pow
er
P
,
t
he
f
i
l
ter
r
e
fe
ren
c
e
c
u
rrent
i
n
the
A
-
B-C
coo
r
dina
t
e
s
are
t
h
e
n
,
defi
ne
d
b
y
:
I
∗
I
∗
I
∗
=
√
2
3
⎣
⎢
⎢
⎡
10
1
2
√
3
2
1
2
√
3
2
⎦
⎥
⎥
⎤
(
1
1
)
The
H
P
F
cont
rol
lin
g
fr
am
ework
is
s
c
h
e
m
a
tic
al
ly
d
e
p
i
c
t
e
d
in
F
i
g
u
re
2
.
Th
e
f
eedb
a
ck
s
i
g
n
a
l
s
a
re
detec
t
e
d
from
t
h
e
A
C
s
ourc
e
,
the
l
o
a
d
c
urr
e
n
t
s,
a
n
d
t
he
D
C
bus
v
o
l
t
a
ges
[7
].
T
he
(
3)
w
as
u
se
d
to
c
o
n
v
er
t
the
3-p
h
ase
cur
r
ents from
the (
a
-b-
c
)
phases to
t
he
(α
-
β
)
s
ta
t
i
c
re
fere
nce
phas
e
cur
rents iα
a
nd i
β
.
F
i
gure
2. Co
n
tr
ol al
g
ori
t
hm
o
f H
P
F
C
h
ron
o
l
o
g
i
c
a
l
l
y
,
a
r
e
search
c
a
n
b
e
e
x
pla
i
ne
d
t
hus
:
re
sear
ch
(
de
si
g
n
,
proce
dure
(as
in
a
lgor
it
hm
s
an
d
p
s
eu
do
co
d
e
s)),
d
a
t
a
acq
ui
sit
i
on
a
nd
d
a
t
a
t
e
st
in
g
[
1
,
7
]
.
Ea
c
h
s
tage
o
f
a
r
e
se
a
r
ch
s
ho
u
l
d
be
d
esc
r
i
b
ed
w
i
t
h
t
h
e
sup
por
tin
g
refe
renc
es for suc
h
desc
ripti
o
n t
o
be
scie
n
t
ifica
l
l
y
acc
ept
a
b
l
e
[6
,
8].
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
S
N: 2
0
8
8
-
86
94
I
n
t
J Po
w
Elec
&
Dr
i
Sy
st,
Vo
l. 1
0
,
No
. 3
,
S
e
p
2
019
:
1
3
3
9
–
1
346
1
342
3.
PI
D
C
CA
P
A
CIT
O
R
VO
LTAGE C
O
NTROLLER
Ther
e
is
a ne
e
d
to
dea
l
w
i
t
h
a
lit
tl
e me
asure of
power strea
min
g
in
to
D
C
c
a
p
ac
ito
r
to
c
on
t
r
o
l
D
C
bus
vo
l
t
age,
c
o
n
se
que
n
tly
c
ompe
nsa
tin
g
f
o
r
t
h
e
con
d
u
ct
i
on
a
n
d
e
x
c
h
a
nge
m
i
s
for
t
u
n
e
s
.
Ther
e
is
no
ne
e
d
f
or
t
he
D
C
l
i
nk
v
o
l
t
a
g
e
co
ntr
o
l
c
i
r
c
le
t
o
be
a
s
qu
ic
k
as
w
h
e
n
i
t
r
e
s
p
o
n
ds
t
o
the
re
l
e
n
t
le
ss
s
ta
te
w
orki
n
g
c
o
n
d
it
io
n.
The
r
e
al
D
C
i
n
ter
f
ace
v
o
l
ta
ge
i
s
c
o
ntr
a
s
t
e
d
w
hi
le
t
he
v
ol
t
a
ge
i
s
c
o
nn
ecte
d
t
o
a
PI
c
on
tro
l
ler
via
a
lin
k
D
C
[
18]
.
F
o
r
t
h
e
m
a
i
n
te
na
nc
e
of
t
he
D
C-
l
i
nk
v
o
lta
ge
a
t
the
se
t
t
l
ed
r
e
f
ere
n
ce
s
t
a
t
e
,
a
sp
eci
fi
c
re
al
p
o
w
er
m
e
a
s
ur
e
is
r
equir
e
d
by
the
D
C
-
c
o
nnec
t
c
ap
ac
i
t
or
;
th
is
p
o
w
e
r
m
ea
sure
d
irec
tly
r
e
f
lect
s
the
var
i
a
tio
n
b
e
twe
e
n
the
r
eal
a
n
d
r
e
f
ere
n
ce
v
o
l
t
a
g
es.
The
c
ontro
l
fla
g
e
m
a
nat
i
n
g
fro
m
t
h
e
P
I
c
on
tro
l
ler
t
o
t
h
e
d
ire
c
t
D
C
i
nt
er
fac
e
vo
l
t
age
ca
n
be
c
om
munic
a
t
e
d
a
s
[1]
:
Pd
c
k
p
Vdcre
f
V
dc
K
ı
Vdc
ref
Vd
c
d
t
(
12)
w
h
e
r
e
K
p
=
P
I
c
on
tr
o
l
l
e
r
s
’
prop
or
t
i
ona
l
ga
in
,
K
i
=
P
I
c
ontr
o
l
l
e
rs’ integ
r
al g
ain
.
A
n
e
x
p
a
n
si
o
n
of
t
h
e
pr
opor
ti
ona
l
ga
in
(
K
p
)
m
i
nimi
ze
s the
i
n
c
r
ea
se in s
t
e
a
dy-s
t
ate
er
ror and
t
i
m
e
b
u
t
c
a
n
c
a
use
a
n
i
nc
r
e
a
s
ed
over
s
ho
o
t
a
nd
se
ttl
i
ng
tim
e.
S
im
il
a
r
ly,
a
n
i
ncr
e
a
s
e
of
t
he
n
ec
e
s
sar
y
p
ick
up
(
K
i
)
r
e
duce
s
t
he
r
elen
t
l
ess
s
t
a
t
e
m
i
sta
k
e
but
c
an
l
ea
d
t
o
o
v
e
r
s
ho
ot
a
nd
s
e
tt
l
i
n
g
time
.
F
i
gur
e
3
s
h
o
w
ed
t
h
e
sc
h
e
m
a
t
i
c
r
e
pr
ese
n
t
a
t
i
on
o
f
P
I
c
ontr
o
ll
e
r
.
Fi
g
u
re
3
.
A
s
c
h
em
at
ic
d
e
p
i
c
t
i
o
n
o
f
th
e
P
I
c
o
n
t
ro
ll
er
4.
ANN DC
C
A
P
ACITOR V
O
LT
AGE CONTRO
LLE
R
Th
e
diag
ram
o
f
a
n
ANN
co
n
t
roller
i
s
dep
i
cted
i
n
F
i
g
u
r
e
4
.
A
n
AN
N
contr
o
ll
er
c
ons
is
t
i
n
g
o
f
3
n
e
u
r
o
n
l
a
y
e
r
s
(
i
n
p
u
t
,
h
i
d
d
e
n
,
a
n
d
o
u
t
p
u
t
)
w
a
s
u
s
e
d
i
n
t
h
i
s
c
o
n
t
r
o
l
s
y
s
t
e
m
.
T
h
e
r
e
a
r
e
3
i
n
p
u
t
s
(
V
1
,
V
2
,
V3
)
an
d
3
outp
u
t
s
(
V1*
,
V
2
*
,
V
3
*
)
i
n
th
e
ANN
co
n
t
roller.
Th
e
AN
N
ou
tpu
t
p
a
s
ses
t
h
r
o
ug
h
a
c
o
m
p
ar
at
or
a
nd
is
m
atc
h
e
d
w
i
t
h
a
c
a
r
r
i
e
r
sig
n
al
p
r
i
or
t
o
its
a
pp
l
i
c
a
t
i
o
n
t
o
the
PW
M
gene
ra
tor
as
a
r
efe
r
e
n
c
e
v
ari
a
bl
e
.
Th
e
ANN is
t
rai
n
e
d
b
y
v
a
ryin
g
the
weights
W
i
j
an
d
th
e biases
B
j
,
wh
i
l
e
t
h
e
t
r
ai
ni
ng
c
rite
ri
on
i
s co
nsi
d
ere
d
a
s
th
e
ANN
o
u
t
pu
ts’ mean
sq
u
a
r
e
e
rro
r with
a v
alu
e
of
0
.
0
001
.
Th
e
(
13)
d
e
f
ine
d
t
he
e
r
r
or
f
unc
t
i
o
n
.
∑
(
13)
w
h
er
e
N
r
e
prese
n
ts
t
he
n
u
m
ber
of
o
u
t
p
u
t
ne
ur
o
n
s,
a
nd
e(
i)
r
e
p
r
e
sents
the
instantaneous
er
ror
be
t
w
ee
n
the
estima
t
e
d
a
nd
ac
tua
l
o
utp
u
t
v
a
l
ue
s.
T
he
t
r
a
i
n
i
ng
of
t
h
e
ANN
i
s
d
eemed
c
o
m
p
l
e
t
e
d
w
h
e
n
j
h
a
s
a
value
o
f
<
0
.
0
0
0
1
[
1
0
,
19,
20]
.
F
i
g
u
r
e 4
.
Th
e
b
lo
ck
d
iag
r
am
o
f ANN
co
n
t
roller
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
C
o
m
p
a
r
is
o
n
s o
f
PI
and AN
N c
o
n
t
r
o
l
l
e
rs
f
o
r
shu
n
t
H
PF … (Mo
ham
e
d
A
s
g
h
a
i
ye
r O
m
r
an)
1
343
5.
SY
S
T
E
M
P
ER
FO
RM
AN
C
E
A
MA
TLA
B
/
S
i
m
u
l
i
n
k
p
l
a
t
f
orm
w
a
s
use
d
t
o
s
i
m
u
la
t
e
t
h
e
s
ys
tem
in
o
r
d
er
t
o
veri
fy
t
he
p
ro
pose
d
met
h
od
.
Th
e
sy
st
em
p
ara
m
et
ers
a
n
d
t
h
ei
r
va
l
u
es
a
re
a
s
fol
l
o
w
s:
v
o
l
t
a
ge
freque
nc
y,
50
H
Z
;
S
our
ce
v
o
lta
ge
,
24
0V
;
Res
i
s
t
or
R
f,
0
.0
0
0
5
0
Ω
;
;
Re
sis
t
or
R
L
1,
80
Ω
;
I
n
duc
t
o
r
L
L
2,
0
.
5
H
;
D
C
c
a
p
a
c
it
or,
35
0
µ
F
;
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s
i
s
t
or
Rs,
0.
0
0
0
5
Ω
;
Ind
u
c
t
or
LL
1,
0
.05
H
;
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nd
uc
tor
Lf,
0.
0
0
0
0
7
5
H
;
i
n
duc
t
o
r
Ls,
0.
00
01
H
;
D
C
b
u
s
v
o
l
ta
ge
,
45
0V
; an
d
Re
s
i
s
t
or
R
L
2, 12
0
Ω
.
The
pe
rform
an
c
e
o
f
a
H
y
bri
d
A
P
F
for
fi
l
t
er
ing
c
u
rr
ent
di
st
ort
i
o
ns
a
nd
rea
c
ti
v
e
pow
e
r
m
iti
ga
ti
on
ha
s
bee
n
e
xa
m
i
ne
d
unde
r
d
i
st
ort
i
on
v
o
lta
ge
s
o
u
r
ce
(
TH
D
of
vol
ta
ge
i
s
14
.7
9%
i
n
c
l
udi
ng
5
7
1
1
a
r
e
9
%
,
8.1% an
d
5.2
1 respec
tive
l
y ) w
ith ba
l
a
n
ce
d no
n
l
i
n
ear
a
nd add
i
ti
o
n
a
l
l
oad
s
. The TH
D
of
s
ourc
e
c
urre
nt
bef
ore
app
l
yi
ng
a
filte
r is hig
h 28.
5
3
%
a
s
show
n i
n
F
i
gur
e 5.
F
i
gur
e 5.
THD
o
f
sour
ce
curr
ent wi
th
o
u
t
a
fi
l
t
e
r
5.1
.
C
ase 1: prop
o
rti
o
n
a
l-i
n
tegr
a
l
con
troller
(PI)
The
pe
rform
ance
of
S
hu
n
t
H
A
P
F
w
it
h
P
I
c
o
n
tr
olle
r
u
nde
r
d
i
s
t
or
ted
v
o
l
t
a
ge
c
o
n
d
itio
n
has
bee
n
show
n
i
n
F
i
g
u
r
es
6
a
n
d
7
w
hic
h
p
r
ovi
de
s
deta
i
l
s
of
t
he
l
oa
d
v
o
l
ta
ge,
sourc
e
v
o
lta
ge,
loa
d
c
urre
nt
w
it
hou
t
a
filte
r,
t
h
e
sou
rc
e c
u
rre
nt
w
ith
f
i
l
t
e
r,
com
pensa
t
i
o
n filt
er
c
urr
e
nt,
D
C
L
in
k vo
l
t
a
g
e,
TH
D
of c
urre
nt
.
F
i
gure
6.
S
hun
t H
A
P
F
respon
ses
w
i
t
h
P
I
contro
ller
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
Int J
P
o
w
El
e
c
&
D
ri S
yst
,
V
ol.
10,
N
o.
3
, S
e
p
2
0
1
9
:
133
9
– 1
346
1
344
F
i
gure
7.
T
H
D
of sourc
e
c
urre
nt
w
i
t
h
P
I
c
ontro
ller
Th
e
sh
unt
H
APF
wa
s
ap
pl
yin
g
to
s
y
s
t
e
m
at
0
.05
s
a
nd
a
dd
it
i
o
n
a
l
n
o
n
lin
e
a
r
l
o
a
d
a
t
0.
1s
t
o
e
v
a
l
uat
e
the
p
e
rfor
m
ance
o
f
filter
unde
r
stea
d
y
a
n
d
t
rans
ite
d
sta
t
use
s
.
The
s
o
urc
e
c
urre
nt
s
ha
ve
b
e
e
n
a
l
m
os
t
s
i
nu
so
ida
l
a
f
t
e
r
co
mp
en
sa
t
i
o
n
of
h
a
r
mo
n
i
c
c
u
rrent
s.
T
h
e
P
I
co
nt
rol
l
er
b
as
e
d
on
shu
n
t
H
A
P
F
r
e
duce
s
t
he
T
H
D
o
f
t
h
e
source
c
urre
nt
t
o
3.
7
6
%,
3
.78
%
,
3.80
%
at
p
e
r
io
d
0.
0
5
t
o
0
.
1s
f
or
p
hases
a,
b
,
c
w
h
ere
a
s
w
ith
a
d
d
i
t
i
ona
l
l
o
a
d
(after
0
.0
1s)
T
H
D
i
s
5.93%,
5.
87
%,
5
.9
1% respe
ct
ive
l
y,
a
s
de
p
i
c
t
e
d
i
n
T
able
2
, bes
i
de
s
t
h
at
P
I
con
t
ro
l
l
er
w
as
una
b
l
e
t
o
m
a
i
nta
i
n
dc b
us
v
olt
a
ge
at
its r
efe
r
enc
e
v
al
ue (
54
0v)
after
a
pp
ly
ing
ad
d
iti
on
al
l
oa
d
s
5.2.
C
ase
2: A
NN
con
trol
ler
F
r
om
F
i
gur
es
8
a
nd
9
,
i
t
c
a
n
b
e
c
o
nc
l
u
de
d
t
h
at
s
hu
n
t
H
A
P
F
w
ith
AN
N
co
nt
r
o
ll
er
c
o
n
t
a
i
ns
f
ewer
harm
on
ics w
i
t
h
a TH
D
of
t
he
source
c
urrent
equa
l to 2.37
%
and 2
.9
2% for bo
t
h s
t
a
t
ues w
h
ic
h ar
e w
e
ll
bel
o
w
the
perm
issi
b
l
e
l
i
m
i
t
o
f
5
%
as
s
how
n
i
n
T
a
b
le
2
.
F
u
rther
m
or
e,
A
NN
c
o
n
t
r
oll
e
r
h
a
s
be
en
a
bl
e
to
k
ee
p
th
e
D
C
vo
l
t
a
ge
a
t i
t
s re
fer
e
nce
val
u
e
eve
n
w
i
t
h
trans
ite
d sta
t
us.
F
i
g
u
r
e
8
. S
h
u
n
t
HAPF
resp
o
n
se w
i
t
h
ANN co
nt
r
o
l
l
e
r
Evaluation Warning : The document was created with Spire.PDF for Python.
Int J
P
o
w
E
l
e
c
&
D
ri S
yst
IS
S
N
:
2088-
86
94
C
o
m
p
a
r
is
o
n
s o
f
PI
and AN
N c
o
n
t
r
o
l
l
e
rs
f
o
r
shu
n
t
H
PF … (Mo
ham
e
d
A
s
g
h
a
i
ye
r O
m
r
an)
1
345
F
i
g
u
r
e
9
. TH
D
o
f
so
u
r
ce cu
r
ren
t
w
i
t
h
ANN
co
nt
r
o
ll
er
Ta
b
l
e
2.
S
how
the ha
r
m
o
ni
c
s
p
ec
t
r
a
in
s
our
c
e
c
urr
e
nt
Ope
r
a
tions
T
HD with Non-
li
n
e
a
r
l
o
a
d
T
H
D with a
dditiona
l
loa
d
T
H
D
H
a
r
m
o
n
i
cs
o
r
d
er
s
5
7
11
13
15
17
5
7
11
13
15
17
%
Without
fi
l
t
e
r
A
21.
6
12.
2
4.
5
8.
5
6.
5
5.
11
15.
7
7.
7
1.
2
1.
4
0.
9
2.
2
2
8
.
5
3
B
21.
9
11.
9
4.
6
8.
4
6.
7
5.
14
1
6
7.
5
1.
1
1.
3
1
2.
4
2
8
.
6
6
C
22
12.
5
5
8.
8
5.
9
5
15.
8
7.
9
1.
4
1.
8
0.
5
1.
9
2
8
.
9
With
f
il
t
e
r
+P
I
A
1.
33
0
.
0
5
0.
3
0.
21
0
.
1
0
.
1
8
1.
8
0.
7
0.
5
0.
9
0.
2
1.
1
5
.
93
B
1
.
3
5
0
.0
6
0
.
2
0
.
2
4
0
.3
0
.2
1
.9
0
.9
0
.3
0
.9
0
.1
1
.3
6
.1
C
1.
7
0.
1
0.
1
0.
25
0
.
2
0
.
2
1
.
8
7
0.
8
0.
3
1
0.
3
1
6
.
3
With
f
il
t
e
r
+
ANN
A
0.
9
0.
1
0.
2
0.
1
0
0.
15
1
.
1
1
0
.
2
0
.
5
0
.
1
0
.
5
2
.
9
2
B
1
0.
1
0
0.
3
0.
1
0.
2
1
1.
2
0.
3
0.
5
0.
2
0.
5
2
.
96
C
1.
1
0.
2
0.
1
0.
5
0.
1
0.
2
1.
2
1
0.
3
0.
6
0.
2
0.
5
3
.
01
6.
CONCL
U
S
ION
A
neura
l
n
e
t
w
o
rk
a
nd
P
I
con
t
ro
llers
o
f
dc
vol
ta
ge
a
r
e
p
r
o
pos
ed
a
n
d
has
been
i
m
p
lem
e
nte
d
f
or
t
he
shu
n
t
H
P
F
bas
e
d
on
S
TF
-p-q
m
eth
o
d
i
n
3
pha
ses.
T
he
p
e
r
for
m
a
n
ce
of
t
h
e
p
rop
o
se
d
c
o
nt
rol
st
ra
t
e
gy
w
a
s
eva
l
ua
t
e
d
for
d
i
s
t
orti
on
so
urc
e
c
on
d
i
t
i
on
s
w
i
t
h
t
w
o
d
iffer
e
nt
n
on-
l
i
ne
ar
l
oad
t
ype
s.
T
he
r
e
s
ults
r
e
v
ea
le
d
t
h
a
t
t
h
e
shu
n
t
HP
F
wi
t
h
ANN
co
n
t
r
o
ll
er
s
u
c
cessf
ull
y
k
ep
t
t
h
e
d
c
v
o
l
t
a
g
e
co
ns
tan
t
a
s
t
h
e
re
fer
e
nce
va
l
u
e
an
d
reduc
e
d
t
he
g
rid
c
u
rr
ent
ha
rm
o
n
ic
s
to
a
rou
n
d
2
.
3
7
a
nd
2.92
%
fo
r
b
o
th
l
oa
ds.
In
c
on
trast
w
i
t
h
t
he
P
I
con
t
ro
l
l
er,
t
h
e
T
H
D
w
a
s
mini
m
i
z
e
d
to
3
.
7
6
and
5.9
3
%
o
n
l
y
.
Bes
i
d
e
s
,
th
e
PI
c
o
n
t
roll
er
f
a
i
l
e
d
to
m
ain
t
a
i
n
the
dc
vol
tage
a
s
t
h
e
r
e
fe
renc
e va
lue u
n
d
e
r
bo
t
h
loa
d
c
o
n
d
i
tio
ns
.
REFE
RENCES
[1]
D.
S
oom
ro,
M.
O
m
r
an,
an
d
S
.
A
lswed
,
"
D
e
sign
o
f
a
S
hu
nt
A
c
t
i
v
e
P
o
w
er
F
ilter
to
M
itig
ate
th
e
H
a
rm
oni
cs
C
aused
by Nonline
a
r
Lo
ads,
"
A
R
P
N
Jou
r
na
l
of En
g
i
n
eeri
n
g
an
d
A
ppli
e
d
S
c
iences
,
v
ol.
10,
p
p.
877
4-8
7
8
2
,
2
0
1
5
.
[
2
]
M
.
S
a
l
e
m
,
A
.
J
u
s
o
h
,
N
.
R
.
N
.
I
d
r
i
s
,
H
.
S
.
D
a
s
,
a
n
d
I
.
A
l
h
a
m
roun
i,
"
Res
onan
t
p
o
w
er
c
o
nvert
er
s
wit
h
r
espect
t
o
pas
s
i
v
e
sto
r
age
(LC)
e
lem
e
nts
and
co
ntro
l
tech
niques
–
A
n
o
v
e
rvie
w,"
R
e
newab
l
e
an
d
Sus
tain
ab
le Ener
gy
Revi
ews
,
vo
l.
91,
p
p
.
5
04
-520
,
2
01
8.
[3
]
M.
S
al
em,
A.
J
u
s
oh
,
N.
N
.
Idri
s,
T
.
Su
tikn
o
,
a
nd
I
.
Ab
i
d
,
"
ZV
S
F
u
ll
Brid
ge
S
eries
Reso
nan
t
B
oost
Co
nvert
er
w
ith
S
e
ries
-Co
n
n
ected
T
ra
n
s
f
o
rm
er,
"
Int
e
rn
atio
nal
J
our
na
l o
f
Powe
r
E
l
ectro
nics
and Dri
ve Syst
ems
,
v
o
l
.
8
,
p
.
8
1
2
,
20
17
.
[
4
]
M
.
S
a
l
e
m
,
A
.
J
u
s
o
h
,
N
.
R
.
N
.
I
d
r
i
s
,
T
.
S
u
t
i
k
n
o
,
a
n
d
Y
.
M
.
Y
.
Buswi
g,
"
P
h
ase-shift
e
d
s
e
ries
r
eso
n
an
t
co
nv
erter
w
i
th
zero
vol
tag
e
swit
c
hi
ng
tu
rn-o
n
a
n
d
variab
le
f
requen
c
y
cont
rol
,
"
Int
e
rn
ation
a
l
Journ
a
l
of P
o
wer
E
l
ectr
onics an
d
Dr
ive S
y
s
t
e
m
s (IJP
ED
S
)
, vo
l
.
8,
p
p
. 11
8
4
-
11
9
, 2
01
7.
[5]
I.
A
lh
amro
uni,
W.
W
ahab
,
M
.
S
alem
,
A
.
H
.
N
.
R
ahm
a
n
,
a
n
d
L
.
A
w
al
i
n
,
"
M
odel
ing
of
m
i
c
ro-grid
w
ith
t
h
e
con
s
i
d
erati
o
n
o
f
t
ot
a
l
h
armo
n
i
c
di
s
t
ortion
anal
ysis,"
Indo
nes
i
a
n
Jo
ur
nal
of El
ectr
i
ca
l
E
ngineer
ing a
n
d
Comp
ut
er
Sci
e
nce,
vo
l
.
15
,
p. 12
,
2
0
1
9
.
[6]
D.
M
.
Soo
m
ro
a
nd
M.
A
lm
e
l
ian,
"
O
p
t
i
m
a
l
desi
g
n
o
f
a
s
i
ngle
t
un
ed
p
assive
f
ilter
t
o
m
i
t
iga
t
e
harmoni
c
s
in
p
owe
r
f
r
equ
e
ncy,
"
AR
PN J
o
urn
a
l
o
f
En
g
i
ne
e
r
in
g a
n
d
Ap
plie
d Sc
ie
n
c
e
s
,
vo
l. 1
0,
pp
.
9
0
0
9
-
90
14
, 20
1
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN: 2088-
8694
Int J
P
o
w
El
e
c
&
D
ri S
yst
,
V
ol.
10,
N
o.
3
, S
e
p
2
0
1
9
:
133
9
– 1
346
1
346
[7]
M
.
A
.
Om
ran
,
I
.
I.
M
oh
d,
M
.
M.
A
lm
elian,
M
.
A
.
D
a
w
oo
d,
a
nd
M.
A
l
-
izzi
,
"Sh
u
nt
H
ybrid
Acti
ve
P
ower
F
ilter
Based
o
n
T
w
o
C
om
pen
s
atio
n
Strateg
i
es
w
it
h
PI
a
n
d
F
uzzy
L
ogi
c
Co
nt
ro
l
l
ers,
"
Jou
r
n
a
l
of
T
e
leco
mmu
ni
cati
on
,
El
ectro
n
i
c an
d
Co
mp
ut
er
E
ngine
er
in
g
(
J
T
E
C)
, v
ol. 1
0,
p
p.
75
-
79
, 20
1
8
.
[
8
]
M
.
A
.
O
m
r
a
n
,
I
.
I
.
M
o
h
d
,
M
.
M
.
A
l
m
e
l
i
a
n
,
U
.
U
.
S
h
e
i
k
h
,
a
n
d
M.
E
.
Bof
a
res,
"
Invest
igating
th
e
abil
i
t
y
of
s
hun
t
hy
bri
d
p
ower
f
ilt
e
r
bas
e
d
o
n
S
RF
m
eth
o
d
un
der
n
o
n
-
ideal
s
u
pply
v
o
lta
ge
,"
i
n
IOP
Conferen
ce
Ser
i
es
: M
a
t
e
r
i
als
Sci
e
nce a
n
d
En
g
i
n
eeri
n
g
,
2
0
1
8
,
p
. 0
12
08
3.
[9
]
M.
M
.
A
l
mel
i
an,
I.
I
.
Mo
hd
,
M
.
A
.
Omran
,
a
nd
U
.
U.
S
he
ik
h,
"Pe
r
f
o
r
m
ance
of
u
ni
f
i
ed
p
ower
q
uality
c
onditioner
(UP
Q
C)
b
ased
o
n
f
u
zzy
c
on
tro
l
l
e
r
f
o
r
at
tenu
ating
of
v
o
ltag
e
a
nd
c
u
r
r
e
n
t
h
a
r
m
o
n
i
c
s
,
"
i
n
IO
P Co
nf
erence
Seri
es:
M
a
teri
a
l
s
Scien
ce an
d E
ngin
e
e
r
in
g
,
2
0
1
8
, p
. 0
12
08
4
.
[
1
0]
V
.
M
a
h
a
ja
n
,
P
.
A
g
a
r
w
a
l,
a
nd
H
.
O.
G
up
ta
,
"
A
n
a
r
t
i
f
ic
i
a
l
in
t
e
llig
e
nce
b
a
sed
co
nt
roller
f
o
r
m
u
lti
l
evel
h
arm
onic
filter,"
In
tern
a
t
io
na
l
Jo
urn
a
l
of E
l
ectrica
l P
o
wer
&
En
erg
y
Systems
,
vo
l. 5
8
, pp
. 1
70
-1
80
,
2
0
1
4
.
[11
]
M
.
Di
ab,
M.
E
l
-
Hab
r
ouk
,
T.
A
bdel
h
am
id,
an
d
S.
D
egh
e
di
e,
"
S
urvey
of
A
ct
i
v
e
Power
F
ilters
C
onfigurati
ons,"
i
n
20
18
IE
EE Internat
io
nal Con
f
erence
on
S
y
st
em,
Com
put
a
t
io
n
,
Auto
mati
on
a
n
d
Net
w
or
king
(
I
CSCA)
,
20
18
,
p
p
.
1
-
14
.
[1
2]
S
.
K.
P
ri
n
ce,
K
.
P
.
P
an
da,
V.
N
.
Ku
mar,
a
nd
G
.
P
a
nd
a,
"
P
o
w
er
q
u
a
l
i
t
y
e
n
h
an
ceme
n
t
in
a
d
istribu
t
i
o
n
network
using
PSO
a
ss
i
s
t
e
d
Kalman
f
ilter—Based
shunt
acti
v
e
power
fi
lt
er,
"
i
n
2
0
1
8
IE
EM
A
E
n
g
i
neer
In
finit
e Co
nfer
en
ce
(
e
T
echNxT
)
, 20
1
8
, pp
.
1
-6
.
[13
]
A
.
Chebab
hi
,
K
.
A
bd
e
l
hal
i
m,
F.
M
.
K.
F
e
llah
,
a
nd
A
.
F
ay
ssa
l
,
"
S
e
lf
T
uning
F
ilter
and
Fu
zzy
l
ogic
C
ont
r
ol
o
f
Shunt
Act
i
ve
P
ower
F
ilter
f
o
r
Eli
mi
na
tes
the
Current
H
armoni
cs
C
onst
r
aints
u
n
d
e
r
Unb
a
lanced
S
o
u
rc
e
Vo
lt
ages
a
n
d
Loads
Condition
s
,"
J
o
urn
a
l
o
f
Po
we
r Te
c
h
no
lo
gie
s
,
v
o
l
.
9
8
, p
p
. 1-
1
9, 2
01
8.
[1
4]
Y
.
Do
u
,
C
.
Ran
,
Y
.
Gao,
Y
.
Li,
and
G.
H
ao
,
"Sel
f
-
t
u
n
i
n
g
W
M
F
Kal
m
an
p
redictors
f
o
r
the
m
u
l
t
i
s
ensor
descri
pt
or
sy
st
e
m
s an
d t
h
e
i
r
con
v
ergen
c
e a
n
al
ysis," i
n
2
0
1
8
3
7
t
h
Ch
in
ese Co
ntr
o
l
Confer
ence
(
CCC)
,
20
18
,
p
p
.
4
04
4-4
0
4
9
.
[1
5]
Z
.
Ch
ed
jara,
A.
M
asso
u
m
,
S.
M
asso
um,
P.
W
i
r
a,
A
.
Sa
f
a
,
an
d
A
.
Gou
i
c
h
ic
he
,
"
A
n
o
v
e
l
r
ob
ust
PLL
a
l
g
o
ri
th
m
appli
e
d
to
t
he
c
o
n
trol
o
f
a
shun
t
active
power
filter
usi
n
g
a
s
e
l
f
t
u
ning
f
ilter
concept
,
"
i
n
20
18 IEEE In
tern
a
t
io
nal
Con
f
eren
ce on
Ind
u
s
t
rial
T
ech
nol
og
y
(
I
CIT)
,
2
0
1
8
,
p
p.
1
12
4-1
131.
[16
]
Y
.
H
oon,
M
.
Moh
d
R
adzi,
M.
H
assan
,
a
nd
N
.
M
a
ilah
,
"
A
refin
ed
s
elf
-
t
uning
f
ilter-based
i
ns
tant
a
n
eous
p
ower
th
eory
a
l
gori
t
hm
f
o
r
i
ndirect
c
u
rrent
c
o
n
tro
l
l
e
d
th
ree-level
i
n
ve
rte
r-b
a
s
e
d
s
hunt
a
c
t
iv
e
p
o
we
r
fi
lte
r
s
u
n
d
e
r
n
o
n
-
si
nu
soidal so
u
rc
e v
o
l
t
ag
e con
d
itio
ns
,"
En
ergies
,
v
o
l.
1
0
, p
. 2
77
,
2
0
17
.
[17
]
Y
.
H
oon,
M
.
Moh
d
R
adzi
,
M.
H
ass
a
n,
a
nd
N
.
M
a
il
ah,
"A
s
elf
-
tu
ni
ng
filt
e
r-b
ased
a
d
a
pt
iv
e
l
i
n
ear
n
euro
n
app
r
o
ach
f
o
r
o
p
eratio
n
of
t
hree-lev
e
l
i
n
v
e
rter-bas
ed
s
hu
nt
acti
v
e
p
o
w
e
r
fi
l
t
ers
under
non-
i
deal
s
ou
rce
vol
t
age
conditions,"
En
erg
i
es
,
vol.
1
0
,
p
.
6
6
7
,
201
7.
[1
8]
I
.
Alh
a
mrou
n
i
,
M.
H
ai
r
u
ll
ah
,
N.
O
mar,
M
.
S
a
l
e
m,
A
.
Ju
so
h,
an
d
T
.
S
u
tik
n
o
,
"M
od
elli
ng
a
nd
d
es
ig
n
o
f
P
ID
co
ntrol
l
er for vo
l
t
a
g
e
con
t
r
o
l
o
f
AC h
yb
ri
d
mi
cr
o
-
gr
i
d
,
"
Int J Pow
El
ec
&
Dri Syst
,
vol.
1
0
,
p
p.
151
-15
9
,
2
01
9.
[
1
9
]
M
.
A
.
M
.
R
a
d
z
i
a
n
d
N
.
A
.
R
a
h
i
m
,
"
N
e
u
r
a
l
n
e
t
w
o
r
k
a
n
d
b
a
n
d
l
e
s
s
h
y
s
t
e
re
s
i
s
ap
pro
a
c
h
t
o
con
t
ro
l
s
w
itch
e
d
cap
acit
o
r
acti
v
e
p
o
w
e
r
fil
t
er
f
o
r
r
edu
c
tio
n
of
h
armo
ni
cs
,"
IE
EE
T
r
a
n
sa
ction
s
o
n
In
du
st
r
i
a
l
El
ectro
n
i
cs
,
vol.
56,
pp.
1
47
7-
14
84
,
2
0
0
9
.
[20
]
R
.
M
a
rtin
e
k
,
J.
R
zid
ky,
R
.
Jaro
s
,
P
.
Bilik
,
a
nd
M
.
L
adro
va
,
"
L
east
M
ean
S
quares
an
d
Recu
rsi
v
e
L
east
S
q
u
a
re
s
Al
go
rithm
s
f
or
T
o
t
a
l
H
arm
o
n
i
c
Di
st
ort
i
o
n
R
e
d
uct
i
o
n
Using
S
h
u
n
t
Ac
t
i
ve
P
ow
er
F
i
l
t
e
r
Contro
l,
"
Ener
gi
es
,
vol.
12,
p
.
1
54
5
, 2
01
9.
Evaluation Warning : The document was created with Spire.PDF for Python.