I
nte
rna
t
io
na
l J
o
urna
l o
f
P
o
w
er
E
lect
ro
nics
a
nd
Driv
e
Sy
s
t
e
m
(
I
J
P
E
DS
)
Vo
l.1
,
No
.
1
,
Sep
tem
b
er
2
0
1
1
,
p
p
.
65
~
74
I
SS
N:
2
0
8
8
-
8
694
65
R
ec
eive
d
J
u
n
27
th
,
2
0
1
1
;
R
ev
is
ed
Au
g
3
rd
,
2
0
1
1
;
A
cc
ep
ted
S
ep
19
th
,
2
0
1
1
Unified
P
o
w
er Q
ua
lity Co
ndition
e
r f
o
r
V
o
ltag
e
S
a
g
and
H
a
r
m
o
nic
M
i
tiga
tion o
f
N
o
nl
inea
r
L
oa
ds
1
Y.
K
us
u
m
a
L
a
t
ha
,
2
Ch.Sa
ib
a
bu
,
3
Y.
P
.
O
bu
lesu
1.
3
De
p
a
rtm
e
n
t
o
f
EE
E,
L
a
k
ired
d
y
Ba
li
re
d
d
y
Co
ll
e
g
e
o
f
En
g
in
e
e
rin
g
(
A
u
to
n
o
m
o
u
s
),
M
y
la
v
a
ra
m
-5
2
1
2
3
0
,
A
.
P
,
I
n
d
ia
2
De
p
a
rtme
n
t
o
f
E
lec
tri
c
a
l
En
g
g
,
Un
iv
e
rsit
y
Co
ll
e
g
e
o
f
En
g
in
e
e
rin
g
(A
u
to
n
o
m
o
u
s),
JN
T
Uk
,
Ka
k
in
a
d
a
,
A
.
P
,
In
d
ia
e
-
m
a
il
:
k
u
su
m
a
lath
a
y
@g
m
a
il
.
c
o
m
,
c
h
s_
e
e
e
@
y
a
h
o
o
.
c
o
.
i
n
,
y
p
o
b
u
l
e
su
@g
m
a
il
.
c
o
m
A
b
s
tr
a
ct
Wit
h
th
e
w
id
e
a
p
p
lica
tio
n
o
f n
o
n
lin
ea
r
a
n
d
elec
tr
o
n
ica
lly
s
w
itch
ed
d
ev
ices in
d
is
tr
ib
u
tio
n
s
ystems
,
th
e
p
o
w
er
q
u
a
lity
p
r
o
b
lem
b
ec
o
mes
mo
r
e
s
erio
u
s
.
Th
is
p
a
p
er
d
ea
ls
w
ith
U
n
ified
P
o
w
er
Qu
a
lity
C
o
n
d
it
io
n
(
UP
QC
)
w
h
ich
is
a
n
in
teg
r
a
tio
n
o
f
s
eries
a
ctive
fil
ter
a
n
d
s
h
u
n
t
a
ctive
filt
er.
Th
e
ma
in
p
u
r
p
o
s
e
o
f
a
UP
QC
is
t
o
co
mp
en
s
a
te
f
o
r
cu
r
r
en
t
h
a
r
mo
n
ics
a
n
d
vo
lta
g
e
h
a
r
m
o
n
ics.
I
t
h
a
s
th
e
ca
p
a
b
ilit
y
o
f
imp
r
o
vin
g
p
o
w
er
q
u
a
lity
a
t
t
h
e
p
o
in
t
o
f
in
s
ta
lla
tio
n
o
n
p
o
w
er
d
is
tr
ib
u
tio
n
s
ystem
s
.
T
h
e
p
a
p
er
d
is
cu
s
s
es
th
e
co
mp
e
n
s
a
tio
n
p
r
in
cip
le
a
n
d
d
iffer
en
t
co
n
tr
o
l
s
tr
a
teg
ies
o
f
th
e
UP
QC
in
d
eta
il.
Th
e
p
erfo
r
ma
n
ce
o
f
UP
QC
is
ex
a
min
ed
b
y
co
n
s
id
erin
g
,
a
d
io
d
e
r
ec
tifi
er
feed
in
g
a
n
R
L
lo
a
d
(
n
o
n
lin
ea
r
lo
a
d
)
th
a
t
a
cts
a
s
a
s
o
u
r
ce
o
f
h
a
r
mo
n
ics,
feed
in
g
h
a
r
mo
n
ics
in
to
th
e
th
r
ee
-
p
h
a
s
e
d
is
tr
ib
u
tio
n
s
ystem
o
f
co
n
ce
r
n
.
Th
e
p
erfo
r
ma
n
ce
is
a
ls
o
o
b
s
erved
u
n
d
er
in
flu
en
ce
o
f
u
tili
ty
s
id
e
d
is
tu
r
b
a
n
ce
s
s
u
ch
a
s
s
a
g
,
s
w
ell,
a
n
d
flicker.
Th
is
co
n
tr
o
l
s
tr
a
teg
y
g
u
a
r
a
n
tees
s
in
u
s
o
id
a
l,
b
a
la
n
ce
d
a
n
d
min
imiz
ed
s
o
u
r
ce
cu
r
r
en
ts
ev
en
u
n
d
er
u
n
b
a
la
n
ce
d
a
n
d
/
o
r
d
is
to
r
ted
s
ystem
vo
lta
g
es.
Th
e
co
n
tr
o
l
s
tr
a
teg
ies
a
r
e
mo
d
eled
u
s
in
g
MATLAB
/S
I
MULI
N
K
a
n
d
s
imu
la
tio
n
r
esu
lts
a
r
e
p
r
esen
t
ed
to
va
lid
a
te
th
e
p
r
o
p
o
s
ed
c
o
n
tr
o
l str
a
teg
y
.
K
ey
w
o
r
d
s
—
UP
QC
,
P
o
w
e
r
Qu
a
lity,
Ha
r
mo
n
ics,
Lo
a
d
B
a
la
n
cin
g
,
P
o
w
er F
a
cto
r
C
o
r
r
ec
tio
n
,
MATLAB
/S
I
MULIN
K
.
1.
I
ntr
o
du
ct
io
n
So
lili
d
s
tate
p
o
w
er
co
n
v
er
ter
s
ar
e
w
id
el
y
u
s
ed
i
n
ap
p
licatio
n
s
s
u
ch
as
ad
j
u
s
tab
le
s
p
ee
d
d
r
iv
es
(
ASD)
,
s
ta
tic
p
o
w
er
s
u
p
p
lies
an
d
as
y
n
c
h
r
o
n
o
u
s
ac
-
d
c
lin
k
s
in
w
i
n
d
an
d
w
a
v
e
g
e
n
er
atin
g
s
y
s
te
m
s
[
1
]
.
T
h
ese
p
o
w
er
co
n
v
er
ter
s
b
eh
a
v
e
as
n
o
n
-
li
n
ea
r
lo
ad
s
to
ac
m
ai
n
s
a
n
d
in
j
ec
t
h
ar
m
o
n
ics
a
n
d
r
es
u
lt
in
lo
w
p
o
w
er
f
ac
to
r
an
d
ef
f
ic
ien
c
y
o
f
t
h
e
s
y
s
te
m
[
2
,
3
]
.
C
o
n
v
en
t
io
n
all
y
p
as
s
iv
e
f
ilter
s
w
er
e
t
h
e
c
h
o
ice
f
o
r
th
e
e
li
m
in
atio
n
o
f
th
e
h
ar
m
o
n
ic
s
a
n
d
to
i
m
p
r
o
v
e
t
h
e
p
o
w
er
f
ac
to
r
.
T
h
ese
p
ass
i
v
e
f
ilter
s
h
a
v
e
t
h
e
d
is
ad
v
a
n
tag
e
o
f
lar
g
er
s
ize,
r
eso
n
an
ce
an
d
f
i
x
ed
co
m
p
e
n
s
a
tio
n
.
I
n
th
e
last
co
u
p
le
o
f
d
ec
ad
es,
th
e
co
n
ce
p
t
o
f
ac
ti
v
e
p
o
w
er
f
i
lter
s
(
A
P
F),
SV
C
a
n
d
A
SV
C
ar
e
v
er
y
p
o
p
u
lar
[
3
]
,
[
4
]
.
Sev
er
al
ap
p
r
o
ac
h
e
s
s
u
c
h
as
h
y
b
r
id
f
i
lter
s
an
d
m
u
lti
s
tep
in
v
er
ter
s
ar
e
p
r
o
p
o
s
e
d
to
r
ed
u
ce
th
e
s
ize
o
f
th
e
ac
tiv
e
f
i
lter
s
.
Ma
n
y
co
n
tr
o
l
co
n
ce
p
ts
s
u
c
h
a
s
i
n
s
tan
ta
n
eo
u
s
p
o
w
er
th
eo
r
y
,
n
o
tch
f
i
lter
a
n
d
f
l
u
x
b
ased
co
n
tr
o
ller
s
h
av
e
also
b
ee
n
in
tr
o
d
u
ce
d
.
Mo
s
t
o
f
th
e
s
e
s
c
h
e
m
e
s
r
eq
u
ir
e
tr
a
n
s
f
o
r
m
atio
n
s
a
n
d
ar
e
d
if
f
ic
u
l
t
to
i
m
p
le
m
e
n
t.
I
n
s
ta
n
tan
eo
u
s
s
y
m
m
etr
ical
co
m
p
o
n
en
t
th
eo
r
y
is
a
v
er
y
ea
s
y
s
ch
e
m
e
t
o
i
m
p
le
m
e
n
t
i
n
t
h
e
r
ea
l
ti
m
e
p
r
o
ce
s
s
as
th
er
e
ar
e
n
o
co
m
p
lic
atio
n
s
o
f
tr
an
s
f
o
r
m
a
tio
n
s
as
w
el
l
as
r
ed
u
ce
d
co
m
p
u
ta
ti
o
n
.
T
h
e
s
tif
f
s
o
u
r
ce
is
th
e
o
n
l
y
r
eq
u
ir
e
m
e
n
t
to
b
e
m
et
i
n
o
r
d
er
to
u
s
e
th
i
s
s
ch
e
m
e
as
co
n
tr
o
l
alg
o
r
ith
m
[
5
]
.
Vo
ltag
e
s
ag
is
o
n
e
o
f
t
h
e
p
r
i
m
e
f
ac
to
r
s
d
u
e
to
w
h
ic
h
p
ar
ti
cu
lar
l
y
p
r
o
d
u
ctio
n
i
n
d
u
s
tr
ies
s
u
f
f
er
h
u
g
e
lo
s
s
[
6
]
.
T
h
is
is
ev
id
en
t
f
r
o
m
m
an
y
p
o
w
er
q
u
alit
y
s
u
r
v
e
y
r
ep
o
r
ts
.
Mo
s
t
o
f
th
ese
v
o
lta
g
e
s
e
n
s
iti
v
e
cr
itical
lo
ad
s
ar
e
n
o
n
-
li
n
ea
r
i
n
n
atu
r
e
d
u
e
to
ap
p
licatio
n
o
f
f
a
s
t
ac
tin
g
s
e
m
ico
n
d
u
cto
r
s
w
itc
h
es
an
d
t
h
eir
s
p
ec
if
ic
co
n
tr
o
l
s
tr
ateg
y
[
7
,
8
]
.
Un
d
o
u
b
ted
ly
th
e
y
h
a
v
e
r
ev
o
l
u
tio
n
ized
th
e
s
tate
o
f
t
h
e
ar
t
o
f
tec
h
n
o
lo
g
y
in
al
m
o
s
t
e
v
er
y
f
i
eld
,
b
u
t
th
e
i
r
lar
g
e
-
s
ca
le
p
r
esen
ce
in
a
s
y
s
te
m
p
o
s
e
s
o
m
e
m
aj
o
r
co
n
c
er
n
s
as t
h
e
y
a
f
f
ec
t t
h
e
d
is
tr
ib
u
tio
n
u
ti
lit
y
in
s
o
m
e
h
ig
h
l
y
u
n
d
esira
b
le
w
a
y
s
.
P
r
im
ar
il
y
,
t
h
ese
k
i
n
d
s
o
f
lo
ad
cu
r
r
en
t
s
ar
e
r
ic
h
i
n
h
ar
m
o
n
ic
s
an
d
th
e
y
m
a
y
r
eq
u
ir
e
s
o
m
e
r
ea
ctiv
e
V
A
as
w
ell.
T
h
e
h
ar
m
o
n
ic
c
u
r
r
en
ts
f
lo
w
in
g
t
h
r
o
u
g
h
t
h
e
f
i
n
ite
s
o
u
r
ce
i
m
p
ed
an
ce
o
f
th
e
u
t
ilit
y
s
u
p
p
l
y
ca
u
s
e
th
e
v
o
lta
g
e
d
is
to
r
tio
n
at
th
e
P
o
in
t
o
f
C
o
m
m
o
n
C
o
u
p
li
n
g
(
P
C
C
)
to
t
h
e
o
th
er
lo
ad
s
[
9
]
.
I
t
r
esu
lts
in
m
al
f
u
n
ctio
n
o
f
co
n
tr
o
l
s
i
g
n
a
ls
,
p
r
o
tectio
n
an
d
m
eter
in
g
o
f
o
t
h
e
r
lo
ad
s
a
n
d
s
y
s
te
m
m
e
ter
in
g
d
ev
ices.
B
u
t
t
h
e
d
is
c
u
s
s
io
n
s
f
o
cu
s
o
n
s
ep
ar
ated
co
m
p
e
n
s
at
io
n
f
o
r
r
ea
ctiv
e
p
o
w
er
,
n
eg
at
iv
e
-
s
eq
u
en
ce
cu
r
r
en
t
o
r
h
ar
m
o
n
ics.
R
e
ce
n
t
r
esear
ch
ef
f
o
r
ts
h
a
v
e
b
ee
n
m
ad
e
to
w
ar
d
s
u
tili
zi
n
g
a
d
ev
ice
ca
lled
u
n
if
ied
p
o
w
er
q
u
alit
y
co
n
d
itio
n
er
(
UP
QC
)
to
s
o
lv
e
al
m
o
s
t a
ll p
o
w
er
q
u
a
lit
y
p
r
o
b
lem
s
[
10
].
T
h
e
ai
m
o
f
t
h
e
p
ap
er
is
to
d
es
ig
n
d
if
f
er
en
t
co
n
tr
o
l
s
tr
ate
g
ies
f
o
r
Un
i
f
ied
P
o
w
er
Q
u
alit
y
C
o
n
d
itio
n
er
(
UP
QC
)
,
w
h
ic
h
is
o
n
e
o
f
th
e
m
aj
o
r
cu
s
to
m
p
o
w
er
s
o
lu
tio
n
s
ca
p
ab
le
o
f
m
it
ig
ati
n
g
t
h
e
ef
f
ec
t
o
f
s
u
p
p
l
y
v
o
ltag
e
s
ag
a
n
d
s
w
ell
at
th
e
lo
ad
en
d
o
r
at
th
e
P
o
in
t
o
f
C
o
m
m
o
n
C
o
u
p
li
n
g
(
P
C
C
)
.
I
t a
ls
o
p
r
ev
en
ts
lo
ad
cu
r
r
en
t
h
ar
m
o
n
ics
f
r
o
m
en
ter
in
g
t
h
e
u
tili
t
y
an
d
co
r
r
ec
ts
t
h
e
i
n
p
u
t
p
o
w
er
f
ac
to
r
o
f
t
h
e
lo
ad
a
n
d
al
s
o
eli
m
in
a
tes
th
e
d
is
to
r
tio
n
in
th
e
v
o
lta
g
e
ca
u
s
ed
d
u
e
to
f
lic
k
er
in
g
,
s
p
i
k
es e
tc.
I
n
t
h
is
p
ap
er
th
e
co
n
tr
o
l stra
teg
ie
s
ar
e
i
m
p
le
m
en
ted
w
it
h
P
I
C
o
n
tr
o
ll
er
.
Evaluation Warning : The document was created with Spire.PDF for Python.
6
6
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
1
,
No
.
1
,
Sep
tem
b
er
2
0
1
1
:
65
–
74
2.
P
ro
po
s
ed
co
ntr
o
l
s
t
a
rt
eg
ies
T
h
e
p
r
im
e
o
b
j
ec
tiv
e
o
f
p
o
w
er
u
tili
t
y
co
m
p
a
n
ie
s
is
to
p
r
o
v
id
e
th
eir
co
n
s
u
m
er
s
an
u
n
i
n
ter
r
u
p
ted
s
in
u
s
o
id
al
v
o
ltag
e
o
f
co
n
s
ta
n
t
a
m
p
lit
u
d
e.
I
n
ad
d
itio
n
to
th
is
,
ad
h
er
en
ce
to
d
if
f
er
en
t
p
o
w
er
q
u
alit
y
s
tan
d
ar
d
s
l
aid
d
o
w
n
b
y
d
if
f
er
en
t
ag
en
cie
s
h
as
b
ec
o
m
e
a
f
ig
u
r
e
o
f
m
er
it
f
o
r
th
e
p
o
w
er
u
t
ilit
ies
[
1
-
3
]
.
Un
f
o
r
tu
n
atel
y
,
t
h
is
is
b
ec
o
m
i
n
g
in
cr
ea
s
in
g
l
y
d
if
f
ic
u
lt
to
d
o
s
o
,
b
ec
au
s
e
th
e
s
i
ze
an
d
n
u
m
b
er
o
f
n
o
n
-
li
n
ea
r
an
d
p
o
o
r
p
o
w
er
-
f
ac
to
r
lo
ad
s
s
u
ch
a
s
ad
j
u
s
tab
le
s
p
ee
d
d
r
iv
es,
co
m
p
u
ter
p
o
w
er
s
u
p
p
lies
,
f
u
r
n
ac
e
s
,
p
o
w
er
co
n
v
er
t
er
s
an
d
tr
ac
tio
n
d
r
iv
es
ar
e
f
in
d
in
g
its
ap
p
licatio
n
s
at
d
o
m
e
s
tic
a
n
d
in
d
u
s
tr
ial
lev
e
ls
.
T
h
ese
n
o
n
l
in
ea
r
lo
ad
s
d
r
a
w
n
o
n
-
li
n
ea
r
cu
r
r
e
n
t
a
n
d
d
eg
r
a
d
e
elec
tr
ic
p
o
w
er
q
u
alit
y
.
T
h
e
q
u
alit
y
d
eg
r
ad
atio
n
lead
s
to
lo
w
p
o
w
er
-
f
ac
to
r
,
lo
w
e
f
f
ic
ien
c
y
,
o
v
er
h
ea
ti
n
g
o
f
tr
a
n
s
f
o
r
m
er
s
a
n
d
s
o
o
n
[
4
]
.
A
p
ar
t
f
r
o
m
th
i
s
,
t
h
e
o
v
er
all
lo
ad
o
n
th
e
d
is
tr
ib
u
tio
n
s
y
s
te
m
is
s
eld
o
m
f
o
u
n
d
to
b
e
b
alan
ce
d
.
I
n
t
h
e
p
ast,
ef
f
o
r
ts
h
a
v
e
b
ee
n
m
ad
e
to
m
iti
g
ate
t
h
e
s
e
id
en
t
i
f
ied
p
o
w
er
q
u
alit
y
p
r
o
b
le
m
s
u
s
i
n
g
co
n
v
e
n
tio
n
al
p
ass
i
v
e
f
i
lter
s
.
B
u
t
t
h
eir
l
i
m
itatio
n
s
s
u
c
h
as,
f
i
x
ed
co
m
p
en
s
atio
n
,
r
eso
n
an
ce
w
i
th
th
e
s
o
u
r
ce
i
m
p
ed
an
ce
an
d
th
e
d
i
f
f
ic
u
lt
y
in
tu
n
in
g
ti
m
e
d
ep
en
d
e
n
ce
o
f
f
ilter
p
ar
a
m
eter
s
[
3
]
h
av
e
i
g
n
i
ted
Un
if
ied
P
o
w
er
Qu
a
lit
y
C
o
n
tr
o
ller
is
a
n
o
v
el
ap
p
r
o
ac
h
p
r
o
p
o
s
ed
in
th
e
d
ir
ec
tio
n
o
f
attain
i
n
g
b
etter
q
u
alit
y
o
f
p
o
w
er
in
t
h
e
d
is
tr
ib
u
tio
n
n
e
t
w
o
r
k
s
.
T
h
e
b
asic
co
n
s
tr
u
ct
io
n
o
f
t
h
e
UP
QC
i
s
v
er
y
m
u
c
h
s
i
m
ilar
to
th
at
o
f
Un
i
f
i
ed
P
o
w
er
Flo
w
C
o
n
tr
o
ller
(
UP
FC
)
.
T
h
e
b
asic
b
u
ild
in
g
b
lo
ck
s
o
f
UP
QC
,
an
d
th
eir
in
ter
co
n
n
ec
tio
n
is
as
s
h
o
w
n
in
Fig
.
1
.
Fig
1
Gen
er
al
co
n
f
i
g
u
r
atio
n
o
f
Un
i
f
ied
P
o
w
er
Q
u
alit
y
C
o
n
d
i
tio
n
er
T
h
e
UP
QC
co
n
s
is
t
s
o
f
t
w
o
b
ac
k
to
b
ac
k
co
n
n
ec
ted
I
GB
T
b
ased
v
o
ltag
e
s
o
u
r
ce
b
i
-
d
ir
ec
tio
n
al
co
n
v
er
ter
s
w
it
h
a
co
m
m
o
n
d
c
b
u
s
.
O
n
e
in
v
er
ter
is
co
n
n
ec
ted
in
s
er
ie
s
,
w
h
i
le
th
e
o
th
er
o
n
e
i
s
p
lace
d
in
s
h
u
n
t
w
it
h
t
h
e
n
o
n
li
n
ea
r
lo
ad
.
T
h
e
in
v
er
ter
co
n
n
ec
ted
in
s
h
u
n
t
w
it
h
th
e
lo
ad
ac
ts
as
a
cu
r
r
en
t
s
o
u
r
ce
f
o
r
in
j
ec
tin
g
co
m
p
en
s
ati
n
g
cu
r
r
en
t,
i
c
.
W
h
ile,
th
e
s
u
p
p
l
y
s
id
e
in
v
er
ter
co
n
n
e
cted
in
s
er
ie
s
w
it
h
t
h
e
lo
ad
ac
ts
as
a
v
o
lta
g
e
s
o
u
r
ce
f
ee
d
in
g
co
m
p
en
s
at
in
g
v
o
ltag
e,
v
c
th
r
o
u
g
h
a
n
in
s
er
tio
n
tr
a
n
s
f
o
r
m
er
.
A
d
io
d
e
b
r
id
g
e
r
ec
tif
ier
f
ee
d
in
g
R
-
L
lo
ad
is
co
n
s
id
er
ed
as n
o
n
li
n
ea
r
lo
ad
.
2
.
1
A
ctive
F
ilte
r
i
ng
Sys
tem
T
h
e
ac
tiv
e
f
ilter
s
ar
e
v
er
y
q
u
i
ck
in
r
esp
o
n
d
i
n
g
to
a
n
y
p
o
w
er
d
is
tu
r
b
an
ce
co
m
p
ar
ed
to
p
ass
iv
e
f
ilter
s
.
T
h
e
r
ea
l
p
o
w
e
r
s
y
s
te
m
u
n
d
er
g
o
es
m
a
n
y
tr
an
s
i
en
ts
,
w
h
ic
h
ar
e
e
n
o
u
g
h
q
u
ic
k
er
th
at
t
h
ese
ca
n
n
o
t
b
e
ad
d
r
ess
ed
u
s
in
g
a
s
i
m
p
le
p
ass
i
v
e
f
ilter
a
s
s
e
m
b
l
y
.
T
h
is
m
ad
e
p
o
w
er
s
y
s
te
m
an
a
l
y
ze
r
s
to
g
o
to
ac
tiv
e
f
ilter
s
,
w
h
ich
ac
ts
,
b
as
ed
o
n
th
e
p
h
ilo
s
o
p
h
y
t
h
at
ad
d
r
ess
es
th
e
lo
ad
cu
r
r
en
t
d
i
s
to
r
tio
n
f
r
o
m
a
ti
m
e
d
o
m
ai
n
r
ath
er
th
an
a
f
r
eq
u
e
n
c
y
d
o
m
ai
n
ap
p
r
o
ac
h
.
T
h
e
m
o
s
t
ef
f
ec
tiv
e
w
a
y
to
i
m
p
r
o
v
e
t
h
e
d
is
to
r
ted
p
o
w
er
f
a
cto
r
in
a
n
o
n
-
s
i
n
u
s
o
id
al
s
it
u
atio
n
is
to
u
s
e
a
n
o
n
li
n
ea
r
ac
ti
v
e
d
ev
ice
th
at
d
ir
ec
tl
y
co
m
p
e
n
s
a
tes
f
o
r
th
e
lo
ad
cu
r
r
en
t d
is
to
r
tio
n
.
T
h
e
p
er
f
o
r
m
an
ce
o
f
th
e
s
e
ac
ti
v
e
f
i
lter
s
is
b
ased
o
n
t
h
r
ee
b
asic d
esig
n
cr
iter
ia.
T
h
ey
ar
e:
T
h
e
d
esig
n
o
f
t
h
e
p
o
w
er
i
n
v
er
ter
(
s
e
m
ico
n
d
u
cto
r
s
w
itc
h
es,
i
n
d
u
cta
n
ce
s
,
ca
p
ac
ito
r
s
,
d
c
v
o
lt
ag
e)
.
T
h
e
PW
M
co
n
tr
o
l m
et
h
o
d
(
h
y
s
ter
esis
,
tr
ia
n
g
u
lar
ca
r
r
ier
,
p
er
i
o
d
ical
s
a
m
p
lin
g
)
Me
th
o
d
u
s
ed
to
o
b
tain
th
e
cu
r
r
en
t
r
ef
er
en
ce
o
r
th
e
co
n
tr
o
l
s
tr
ateg
y
u
s
ed
to
g
en
er
ate
th
e
r
ef
er
en
ce
te
m
p
late.
2
.
2
Des
ig
n o
f
p
o
w
er inverte
r
s
I
n
ve
r
ters
:
B
o
th
s
er
ie
s
v
o
lta
g
e
co
n
tr
o
l
an
d
s
h
u
n
t
c
u
r
r
en
t
co
n
t
r
o
l
in
v
o
l
v
e
u
s
e
o
f
v
o
lta
g
e
s
o
u
r
ce
co
n
v
er
ter
s
.
B
o
th
t
h
ese
in
v
er
ter
s
ar
e
o
p
er
ated
in
cu
r
r
en
t c
o
n
tr
o
l
m
o
d
e
e
m
p
lo
y
in
g
P
W
M
co
n
tr
o
l te
ch
n
iq
u
e.
E
ac
h
t
h
r
ee
-
p
h
a
s
e
v
o
ltag
e
s
o
u
r
ce
co
n
v
er
ter
co
n
s
is
t
s
o
f
s
i
x
co
n
tr
o
llab
le
s
w
itc
h
es
an
d
ea
c
h
s
w
itc
h
is
n
o
t
h
i
n
g
b
u
t
a
n
I
GB
T
w
it
h
a
p
ar
allel
d
io
d
e
co
n
n
ec
ted
i
n
r
e
v
er
s
e.
T
h
u
s
ea
c
h
leg
o
f
a
th
r
ee
-
p
h
ase
v
o
lta
g
e
s
o
u
r
ce
co
n
v
er
ter
co
n
s
i
s
ts
o
f
t
w
o
s
w
itc
h
es.
Sin
ce
th
e
co
n
v
er
ter
s
ar
e
b
i
-
d
ir
ec
tio
n
al,
c
u
r
r
e
n
ts
f
lo
w
f
r
o
m
ac
to
d
c
an
d
v
i
ce
v
er
s
a.
Dio
d
es
ca
r
r
y
o
u
t
in
s
ta
n
ta
n
eo
u
s
r
ec
tif
ier
o
p
er
atio
n
an
d
I
GB
T
’
s
ca
r
r
y
o
u
t i
n
s
ta
n
tan
eo
u
s
i
n
v
er
ter
o
p
er
atio
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
PEDS
I
SS
N:
2
0
8
8
-
8
694
Unified Power Quality Conditioner for Voltage Sag and ... (Y. Kusuma Latha)
67
C
a
p
a
cito
r
:
C
ap
ac
ito
r
is
u
s
ed
as
an
in
ter
f
ac
e
b
et
w
ee
n
t
h
e
t
w
o
b
ac
k
to
b
ac
k
co
n
n
ec
ted
in
v
er
ter
s
an
d
t
h
e
v
o
ltag
e
ac
r
o
s
s
it
ac
t
s
as
th
e
d
c
v
o
lta
g
e
s
o
u
r
ce
d
r
iv
i
n
g
t
h
e
i
n
v
er
ter
s
.
T
h
u
s
,
t
h
e
ca
p
ac
ito
r
th
at
ac
ts
a
s
an
en
er
g
y
s
to
r
ag
e
d
e
v
ice
is
s
h
ar
ed
b
et
w
ee
n
t
h
e
t
w
o
b
i
-
d
ir
ec
tio
n
al
co
n
v
er
ter
s
.
T
h
e
v
o
ltag
e
ac
r
o
s
s
t
h
e
ca
p
ac
ito
r
is
h
eld
co
n
s
ta
n
t
at
t
h
e
r
eq
u
ir
ed
v
alu
e
u
s
i
n
g
clo
s
ed
lo
o
p
co
n
tr
o
l.
I
n
o
r
d
er
to
as
s
u
r
e
th
e
f
ilte
r
cu
r
r
en
t
at
a
n
y
i
n
s
ta
n
t,
t
h
e
D
C
v
o
ltag
e,
V
dc
m
u
s
t
b
y
at
least
eq
u
al
to
3
/2
o
f
th
e
p
ea
k
v
alu
e
o
f
t
h
e
lin
e
A
C
m
ai
n
s
v
o
ltag
e.
T
h
e
ca
p
ac
ito
r
is
to
b
e
s
o
d
esig
n
ed
s
o
as
to
p
r
o
v
id
e
DC
v
o
lta
g
e
w
it
h
ac
ce
p
tab
le
r
ip
p
le
s.
I
n
terf
a
ce
I
n
d
u
cto
r
:
A
n
i
n
d
u
cto
r
is
u
s
ed
to
in
ter
f
ac
e
t
h
e
f
ilter
(
eit
h
er
s
h
u
n
t
o
r
s
er
i
es)
w
it
h
t
h
e
d
is
tr
ib
u
tio
n
s
y
s
te
m
.
T
h
at
i
s
,
th
e
g
e
n
er
ated
ac
v
o
ltag
e
(
g
en
er
ated
b
y
t
h
e
i
n
v
er
ter
)
is
co
n
n
ec
ted
to
t
h
e
a
c
s
y
s
te
m
v
ia
a
n
i
n
d
u
cto
r
.
T
h
er
ef
o
r
e,
co
n
tr
o
l
o
f
th
e
c
u
r
r
en
t
w
a
v
e
-
s
h
ap
e
is
li
m
i
ted
n
o
t
o
n
l
y
b
y
t
h
e
s
w
i
tch
i
n
g
f
r
eq
u
en
c
y
o
f
th
e
i
n
v
er
ter
b
u
t
al
s
o
b
y
th
e
a
v
ailab
le
d
r
i
v
in
g
v
o
lta
g
e
ac
r
o
s
s
t
h
e
i
n
ter
f
ac
in
g
i
n
d
u
cto
r
.
T
h
e
d
r
iv
in
g
v
o
ltag
e
ac
r
o
s
s
t
h
e
i
n
ter
f
ac
in
g
i
n
d
u
cto
r
d
eter
m
in
e
s
t
h
e
m
a
x
i
m
u
m
d
i/d
t
th
at
ca
n
b
e
ac
h
ie
v
ed
b
y
t
h
e
f
ilter
.
T
h
is
is
i
m
p
o
r
ta
n
t
b
ec
au
s
e
r
elativ
el
y
h
i
g
h
v
a
lu
e
s
o
f
d
i/d
t
m
a
y
b
e
n
ee
d
ed
to
ca
n
ce
l
h
ig
h
er
o
r
d
er
h
ar
m
o
n
ic
co
m
p
o
n
en
t
s
.
T
h
er
ef
o
r
e,
th
er
e
is
a
t
r
ad
e
-
o
f
f
i
n
v
o
lv
ed
in
s
izin
g
th
e
in
ter
f
ac
e
in
d
u
cto
r
.
A
lar
g
e
in
d
u
cto
r
is
b
etter
f
o
r
is
o
latio
n
f
r
o
m
th
e
p
o
w
er
s
y
s
te
m
a
n
d
p
r
o
tectio
n
f
r
o
m
tr
an
s
ien
t
d
is
tu
r
b
an
ce
s
.
Ho
w
e
v
er
,
th
e
la
r
g
er
in
d
u
cto
r
v
al
u
es l
i
m
it th
e
ab
ilit
y
o
f
t
h
e
f
ilter
to
ca
n
ce
l h
i
g
h
er
o
r
d
er
h
ar
m
o
n
ic
s
.
2
.
3
C
o
ntr
o
l Str
a
teg
y
to
Genera
te
R
ef
erence
C
ur
r
ent
s
2
.
3
.
1
Sh
un
t Co
ntr
o
l St
r
a
teg
ies
Sh
u
n
t
co
n
tr
o
l
s
tr
ateg
y
in
v
o
lv
e
s
n
o
t
o
n
l
y
g
en
er
at
in
g
r
ef
er
en
c
e
cu
r
r
en
t
to
co
m
p
e
n
s
ate
t
h
e
h
ar
m
o
n
ic
cu
r
r
e
n
ts
b
u
t
al
s
o
ch
ar
g
i
n
g
th
e
ca
p
ac
ito
r
to
th
e
r
eq
u
ir
ed
v
alu
e
to
d
r
iv
e
t
h
e
in
v
e
r
ter
s
.
P
I
C
o
n
tr
o
l
W
ith
a
v
ie
w
to
h
a
v
e
a
s
e
lf
r
eg
u
la
ted
d
c
b
u
s
,
t
h
e
v
o
ltag
e
ac
r
o
s
s
th
e
ca
p
ac
ito
r
i
s
s
e
n
s
e
d
at
r
eg
u
lar
in
ter
v
als
an
d
co
n
tr
o
lled
b
y
e
m
p
lo
y
i
n
g
a
s
u
it
ab
le
clo
s
ed
lo
o
p
co
n
tr
o
l.
T
h
e
d
c
lin
k
v
o
lta
g
e,
v
d
c
is
s
e
n
s
ed
at
a
r
eg
u
lar
i
n
ter
v
al
an
d
i
s
co
m
p
ar
ed
w
it
h
it
s
r
ef
er
e
n
ce
c
o
u
n
ter
p
ar
t
v
dc
*
.
T
h
e
er
r
o
r
s
ig
n
al
is
p
r
o
ce
s
s
ed
in
a
P
I
co
n
tr
o
ller
.
T
h
e
o
u
tp
u
t
o
f
t
h
e
P
I
co
n
tr
o
ller
is
d
en
o
ted
as
i
sp(n)
.
A
li
m
it
i
s
p
u
t
o
n
t
h
e
o
u
tp
u
t
o
f
co
n
tr
o
ller
.
T
h
is
e
n
s
u
r
es
th
at
th
e
s
o
u
r
ce
s
u
p
p
lies
ac
ti
v
e
p
o
w
er
o
f
th
e
lo
ad
an
d
d
c
b
u
s
o
f
th
e
UP
QC
.
L
a
ter
p
ar
t
o
f
ac
tiv
e
p
o
w
er
s
u
p
p
lied
b
y
s
o
u
r
ce
is
u
s
ed
to
p
r
o
v
id
e
a
s
elf
-
s
u
p
p
o
r
ted
d
c
lin
k
o
f
th
e
UP
QC
.
T
h
u
s
,
t
h
e
d
c
b
u
s
v
o
lta
g
e
o
f
t
h
e
UP
QC
is
m
a
in
ta
in
e
d
to
h
av
e
a
p
r
o
p
er
cu
r
r
en
t
co
n
tr
o
l.
Gen
era
tin
g
co
mp
en
s
a
tin
g
cu
r
r
en
t
Dir
ec
t
meth
o
d
:
T
h
e
o
u
tp
u
t,
i
sp
is
co
n
s
id
er
ed
as
m
ag
n
it
u
d
e
o
f
th
r
ee
p
h
ase
r
ef
er
en
ce
c
u
r
r
en
t
s
.
T
h
r
e
e
p
h
ase
u
n
it
cu
r
r
en
t
v
ec
to
r
s
(
u
sa
,
u
sb
an
d
u
sc
)
ar
e
d
er
iv
ed
in
p
h
a
s
e
w
it
h
t
h
e
th
r
ee
p
h
ase
s
u
p
p
l
y
v
o
lta
g
es (
v
sa
,
v
sb
a
n
d
v
sc
)
.
T
h
ese
u
n
it c
u
r
r
en
t
v
ec
to
r
s
(
u
sa
,
u
sb
a
n
d
u
sc
)
f
o
r
m
t
h
e
p
h
a
s
es
o
f
t
h
r
ee
p
h
a
s
e
r
ef
er
en
ce
c
u
r
r
en
ts
.
Mu
l
tip
lica
tio
n
o
f
m
a
g
n
it
u
d
e
I
sp
w
it
h
p
h
ases
(
u
sa
,
u
sb
an
d
u
sc
)
r
esu
lt
s
in
t
h
e
th
r
ee
-
p
h
ase
r
e
f
er
en
ce
s
u
p
p
l
y
cu
r
r
e
n
ts
(
i
sa
*
,
i
sb
*
a
n
d
i
sc
*
)
.
Su
b
tr
ac
tio
n
o
f
lo
ad
cu
r
r
en
ts
(
i
la
,
i
lb
an
d
i
lc
)
f
r
o
m
th
e
r
ef
er
en
ce
s
u
p
p
l
y
cu
r
r
en
ts
(
i
sa
*
,
i
sb
*
a
n
d
i
sc
*
)
r
esu
lt
s
in
th
r
ee
-
p
h
ase
r
ef
er
e
n
ce
cu
r
r
en
ts
(
i
sh
a
*
,
i
shb
*
an
d
i
shc
*
)
f
o
r
th
e
s
h
u
n
t in
v
er
ter
.
T
h
ese
r
ef
er
en
ce
c
u
r
r
en
ts
i
ref
(i
sha
*
,
i
shb
*
a
n
d
i
shc
*
)
ar
e
co
m
p
a
r
ed
w
it
h
ac
tu
a
l
s
h
u
n
t
co
m
p
e
n
s
atin
g
c
u
r
r
en
t
s
i
act
(i
sha
,
i
shb
an
d
i
shc
)
a
n
d
t
h
e
er
r
o
r
s
ig
n
al
s
ar
e
th
e
n
co
n
v
er
ted
i
n
to
(
o
r
p
r
o
ce
s
s
ed
to
g
i
v
e)
s
w
itc
h
i
n
g
p
u
l
s
es
u
s
i
n
g
P
W
M
tech
n
iq
u
e
w
h
ic
h
ar
e
f
u
r
t
h
er
u
s
ed
to
d
r
iv
e
s
h
u
n
t
i
n
v
er
ter
.
I
n
r
esp
o
n
s
e
to
th
e
P
W
M
g
atin
g
s
i
g
n
als
t
h
e
s
h
u
n
t
i
n
v
er
ter
s
u
p
p
lies
h
ar
m
o
n
ic
cu
r
r
en
ts
r
eq
u
ir
ed
b
y
lo
ad
.
(
I
n
ad
d
itio
n
to
th
is
it
also
s
u
p
p
lies
t
h
e
r
ea
ctiv
e
p
o
w
er
d
e
m
a
n
d
o
f
t
h
e
lo
ad
.
)
I
n
ef
f
ec
t,
th
e
s
h
u
n
t
b
i
-
d
ir
ec
tio
n
a
l
co
n
v
er
ter
th
at
is
co
n
n
ec
ted
th
r
o
u
g
h
a
n
in
d
u
cto
r
in
p
ar
all
el
w
it
h
th
e
lo
ad
ter
m
i
n
als
ac
co
m
p
li
s
h
es t
h
r
ee
f
u
n
ct
io
n
s
s
i
m
u
lta
n
eo
u
s
l
y
:
I
t in
j
ec
ts
r
ea
ctiv
e
cu
r
r
en
t to
co
m
p
e
n
s
ate
cu
r
r
en
t h
ar
m
o
n
ic
s
o
f
th
e
lo
ad
I
t p
r
o
v
id
es r
ea
c
tiv
e
p
o
w
er
f
o
r
th
e
lo
ad
an
d
th
er
eb
y
i
m
p
r
o
v
e
p
o
w
er
f
ac
to
r
o
f
th
e
s
y
s
te
m
I
t a
ls
o
d
r
aw
s
t
h
e
f
u
n
d
a
m
e
n
tal
cu
r
r
en
t to
co
m
p
en
s
ate
t
h
e
p
o
w
er
lo
s
s
o
f
th
e
s
y
s
te
m
an
d
m
ak
e
t
h
e
v
o
lta
g
e
o
f
DC
ca
p
ac
ito
r
co
n
s
tan
t.
2.
3
.
2
Ser
ies C
o
ntr
o
l st
r
a
teg
ies
T
h
e
s
er
ies
i
n
v
er
ter
,
w
h
ic
h
is
a
ls
o
o
p
er
ated
in
cu
r
r
en
t
co
n
tr
o
l
m
o
d
e,
is
o
lates
th
e
lo
ad
f
r
o
m
th
e
s
u
p
p
l
y
b
y
in
tr
o
d
u
cin
g
a
v
o
ltag
e
s
o
u
r
ce
in
b
et
w
ee
n
.
T
h
is
v
o
ltag
e
s
o
u
r
ce
co
m
p
en
s
ates
s
u
p
p
l
y
v
o
ltag
e
d
ev
iat
io
n
s
s
u
ch
as
s
a
g
an
d
s
w
ell.
I
n
clo
s
ed
lo
o
p
co
n
tr
o
l
s
ch
e
m
e
o
f
t
h
e
s
er
ie
s
in
v
er
ter
,
t
h
e
th
r
ee
p
h
ase
lo
ad
v
o
lta
g
e
(
v
la
,
v
lb
a
n
d
v
lc
)
ar
e
s
u
b
tr
ac
ted
f
r
o
m
th
e
th
r
ee
p
h
ase
s
u
p
p
l
y
v
o
lta
g
e
(
v
sa
,
v
sb
an
d
v
sc
)
,
an
d
ar
e
als
o
co
m
p
ar
ed
w
ith
r
e
f
er
en
ce
s
u
p
p
ly
v
o
lta
g
e
w
h
ich
r
es
u
lts
in
t
h
r
ee
p
h
ase
r
e
f
er
en
ce
v
o
lta
g
es
(
v
la
*
,
v
lb
*
an
d
v
lc
*
)
.
T
h
es
e
r
ef
er
en
ce
v
o
lta
g
es
ar
e
to
b
e
in
j
ec
ted
in
s
er
ie
s
w
it
h
th
e
lo
ad
.
B
y
tak
i
n
g
r
ec
o
u
r
s
e
to
a
s
u
itab
le
tr
a
n
s
f
o
r
m
atio
n
,
th
e
t
h
r
ee
p
h
ase
r
ef
er
en
ce
cu
r
r
e
n
ts
(
i
sea
*
,
i
seb
*
a
n
d
i
sec
*
)
o
f
th
e
s
er
ies
i
n
v
er
ter
ar
e
o
b
tain
ed
f
r
o
m
t
h
e
t
h
r
ee
p
h
ase
r
ef
er
en
ce
v
o
lta
g
es
(
v
la
*
,
v
lb
*
a
n
d
v
lc
*
)
.
T
h
ese
r
ef
er
e
n
ce
c
u
r
r
en
t
s
(i
sea
*
,
i
seb
*
an
d
i
sec
*
)
ar
e
f
ed
to
a
P
W
M
cu
r
r
en
t
co
n
tr
o
ller
alo
n
g
w
it
h
th
e
ir
s
en
s
ed
co
u
n
ter
p
ar
ts
(
i
sea
,
i
seb
an
d
i
sec
)
.
T
h
e
g
ati
n
g
s
ig
n
al
s
o
b
tain
ed
f
r
o
m
P
W
M
cu
r
r
en
t
co
n
tr
o
ller
en
s
u
r
e
th
at
t
h
e
s
er
ies
i
n
v
er
ter
m
ee
ts
t
h
e
d
e
m
a
n
d
o
f
v
o
lta
g
e
s
a
g
an
d
s
w
ell,
t
h
er
eb
y
p
r
o
v
id
in
g
s
in
u
s
o
id
al
v
o
lta
g
e
to
lo
ad
.
Evaluation Warning : The document was created with Spire.PDF for Python.
68
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
1
,
No
.
1
,
Sep
tem
b
er
2
0
1
1
:
65
–
74
T
h
u
s
s
er
ies
i
n
v
er
ter
p
la
y
s
a
n
i
m
p
o
r
tan
t
r
o
le
to
in
cr
ea
s
e
th
e
r
eliab
ilit
y
o
f
q
u
alit
y
o
f
s
u
p
p
ly
v
o
lta
g
e
at
th
e
lo
ad
,
b
y
in
j
ec
tin
g
s
u
itab
le
v
o
lta
g
e
w
it
h
th
e
s
u
p
p
l
y
,
w
h
e
n
e
v
er
th
e
s
u
p
p
ly
v
o
lta
g
e
u
n
d
er
g
o
es sa
g
.
T
h
e
s
er
ies
in
v
er
ter
ac
ts
a
s
a
lo
ad
to
th
e
co
m
m
o
n
d
c
li
n
k
b
et
w
ee
n
t
h
e
t
w
o
i
n
v
er
ter
s
.
W
h
e
n
s
ag
o
cc
u
r
s
s
er
ies
in
v
er
ter
ex
h
a
u
s
ts
th
e
en
er
g
y
o
f
t
h
e
d
c
lin
k
.
T
h
u
s
,
u
n
li
k
e
D
y
n
a
m
i
c
Vo
ltag
e
R
e
s
to
r
er
,
UP
QC
d
o
es
n
o
t
n
ee
d
a
n
y
e
x
te
r
n
a
l
s
to
r
ag
e
d
ev
ice
o
r
ad
d
itio
n
al
co
n
v
er
ter
(
d
io
d
e
b
r
id
g
e
r
ec
tif
ier
)
to
s
u
p
p
l
y
th
e
d
c
li
n
k
v
o
lta
g
e.
2
.
4
Mo
d
eling
o
f
UP
QC
2.
4
.
1
C
o
m
p
uta
tio
n o
f
co
ntr
o
l
q
ua
nti
ties
o
f
s
hu
nt inve
r
ter
Dir
ec
t c
u
r
r
ent c
o
nt
r
o
l m
etho
d
:
T
h
e
am
p
lit
u
d
e
o
f
t
h
e
s
u
p
p
l
y
v
o
ltag
e
is
c
o
m
p
u
ted
f
r
o
m
t
h
e
t
h
r
ee
p
h
ase
s
en
s
ed
v
al
u
es a
s
:
v
sm
=[
2
/3
(
v
sa
2
+ v
sb
2
+v
sc
2
)]
1/2
(
1
)
T
h
e
th
r
ee
p
h
ase
u
n
it c
u
r
r
en
t v
ec
to
r
s
ar
e
co
m
p
u
ted
as:
u
sa
= v
sa
/v
sm
;
u
sb
= v
sb
/v
sm
;
u
sc
= v
sc
/v
sm
;
(
2
)
Mu
ltip
licat
io
n
o
f
t
h
r
ee
p
h
ase
u
n
it
c
u
r
r
en
t
v
ec
to
r
s
(
u
sa
,
u
sb
an
d
u
sc
)
w
i
th
t
h
e
a
m
p
li
tu
d
e
o
f
th
e
s
u
p
p
l
y
cu
r
r
e
n
t
(
i
sp
)
r
esu
lt
s
in
t
h
e
t
h
r
ee
-
p
h
a
s
e
r
ef
er
en
ce
s
u
p
p
l
y
cu
r
r
en
ts
as:
i
sa
*
=
i
sp
.u
sa
;
i
sb
*
= i
sp
.u
sb
;
i
sc
*
=
i
sp
.u
sc
;
(
3
)
T
o
o
b
tain
r
ef
er
en
ce
cu
r
r
en
t
s
,
t
h
r
ee
p
h
ase
lo
ad
cu
r
r
en
t
s
ar
e
s
u
b
tr
ac
ted
f
r
o
m
t
h
r
ee
p
h
ase
r
ef
er
en
ce
s
u
p
p
l
y
c
u
r
r
en
t
s
:
i
sha
*
=
i
sa
*
-
i
la
;
i
shb
*
=
i
sb
*
-
i
lb
;
i
shc
*
=
i
sc
*
-
i
lc
;
(
4
)
T
h
ese
ar
e
th
e
i
ref
f
o
r
Dir
ec
t
cu
r
r
en
t
co
n
tr
o
l
tech
n
iq
u
e
o
f
s
h
u
n
t
in
v
er
ter
.
T
h
e
i
ref
ar
e
co
m
p
ar
ed
w
it
h
i
act
in
P
W
M
cu
r
r
en
t c
o
n
tr
o
ller
to
o
b
tain
th
e
s
w
itch
in
g
s
i
g
n
als
f
o
r
th
e
d
ev
i
ce
s
u
s
ed
i
n
th
e
s
h
u
n
t in
v
er
ter
.
2.
4
.
2
C
o
m
pu
t
a
t
io
n o
f
co
ntr
o
l qua
ntit
ies o
f
s
er
ies inv
er
t
er
:
T
h
e
s
u
p
p
l
y
v
o
lta
g
e
an
d
lo
ad
v
o
ltag
e
ar
e
s
en
s
ed
an
d
th
er
e
f
r
o
m
,
th
e
d
esire
d
in
j
ec
ted
v
o
lta
g
e
is
co
m
p
u
ted
as
f
o
llo
w
s
:
v
inj
= v
s
-
v
l
(
5
)
T
h
e
m
a
g
n
it
u
d
e
o
f
th
e
i
n
j
ec
ted
v
o
ltag
e
i
s
ex
p
r
ess
ed
as
:
v
inj
=
|
v
inj
|
(
6
)
W
h
er
ea
s
,
th
e
p
h
a
s
e
o
f
in
j
ec
ted
v
o
ltag
e
i
s
g
i
v
e
n
as:
inj
=
tan
(
R
e[
v
pq
]
/I
m
[
v
pq
])
(
7
)
Fo
r
th
e
p
u
r
p
o
s
e
o
f
co
m
p
en
s
a
ti
o
n
o
f
h
ar
m
o
n
ic
s
in
lo
ad
v
o
lta
g
e,
th
e
f
o
llo
w
i
n
g
i
n
eq
u
a
liti
es a
r
e
f
o
llo
w
ed
:
v
inj
< v
injm
ax
m
ag
n
it
u
d
e
co
n
tr
o
l;
0
<
inj
<
3
6
0
p
h
ase
co
n
tr
o
l;
T
h
r
ee
p
h
ase
r
ef
er
en
ce
v
al
u
es
o
f
th
e
i
n
j
ec
ted
v
o
ltag
es a
r
e
ex
p
r
ess
ed
as:
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
PEDS
I
SS
N:
2
0
8
8
-
8
694
Unified Power Quality Conditioner for Voltage Sag and ... (Y. Kusuma Latha)
6
9
v
la
*
=
2v
inj
s
in
(
w
t+
inj
)
v
lb
*
=
2v
inj
s
in
(
w
t+2
/3
+
inj
)
v
lc
*
=
2v
inj
s
in
(
w
t
-
2
/3
+
inj
)
(
8
)
Th
e
th
r
ee
p
h
ases
r
ef
er
e
n
ce
cu
r
r
en
ts
(
i
ref
)
o
f
t
h
e
s
er
ies i
n
v
er
te
r
ar
e
co
m
p
u
ted
as
f
o
llo
w
s
:
i
sea
*
=
v
la
*
/z
se
;
i
seb
*
=
v
lb
*
/z
se
;
i
sec
*
=
v
lc
*
/z
se
;
(
9
)
T
h
e
i
m
p
ed
an
ce
z
se
i
n
cl
u
d
es
t
h
e
i
m
p
ed
an
ce
o
f
in
s
er
tio
n
tr
an
s
f
o
r
m
er
.
T
h
e
c
u
r
r
en
t
s
(
i
sea
*
,
i
s
eb
*
an
d
i
sec
*
)
ar
e
id
ea
l
cu
r
r
en
t
to
b
e
m
ai
n
tai
n
ed
th
r
o
u
g
h
t
h
e
s
ec
o
n
d
ar
y
w
i
n
d
i
n
g
o
f
in
s
er
tio
n
tr
a
n
s
f
o
r
m
er
i
n
o
r
d
er
to
in
j
ec
t
v
o
lta
g
es
(
v
la
,
v
lb
an
d
v
lc
)
,
t
h
er
eb
y
ac
co
m
p
li
s
h
in
g
t
h
e
d
esire
d
tas
k
o
f
co
m
p
en
s
atio
n
o
f
t
h
e
v
o
lta
g
e
s
a
g
.
T
h
e
cu
r
r
en
ts
i
ref
(i
sea
*
,
i
s
eb
*
an
d
i
sec
*
)
ar
e
co
m
p
ar
ed
w
it
h
i
act
(i
s
ea
, i
seb
an
d
i
sec
)
in
P
W
M
cu
r
r
en
t c
o
n
tr
o
ller
,
as a
r
esu
lt si
x
s
w
it
ch
in
g
s
ig
n
al
s
ar
e
o
b
tain
ed
f
o
r
th
e
I
GB
T
s
o
f
t
h
e
s
er
ie
s
i
n
v
er
ter
.
T
h
e
b
lo
ck
d
iag
r
a
m
u
s
ed
f
o
r
th
e
p
r
o
p
o
s
ed
co
n
tr
o
l
s
c
h
e
m
e
is
g
i
v
e
n
i
n
f
ig
2
.
T
h
e
p
r
o
p
o
s
ed
co
n
tr
o
l sch
e
m
e
i
s
i
m
p
le
m
en
ted
u
s
i
n
g
Ma
tlab
/Si
m
u
lin
k
an
d
it is
s
h
o
w
n
i
n
f
i
g
3
.
Fig
2
C
o
n
tr
o
l Sc
h
e
m
e
o
f
T
h
r
ee
P
h
ase
UP
QC
Evaluation Warning : The document was created with Spire.PDF for Python.
70
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
1
,
No
.
1
,
Sep
tem
b
er
2
0
1
1
:
65
–
74
Fig
3
Si
m
u
lin
k
d
iag
r
a
m
o
f
UP
QC
f
o
r
n
o
n
li
n
ea
r
s
y
s
te
m
3.
Resul
t
s
a
n
d Ana
ly
s
is
A
t
h
r
ee
-
p
h
ase
s
u
p
p
l
y
o
f
2
3
0
v
,
6
0
Hz
is
co
n
s
id
er
ed
to
f
ee
d
a
d
io
d
e
r
ec
tif
ier
f
ed
R
L
L
o
ad
(
n
o
n
-
li
n
ea
r
lo
ad
)
.
So
u
r
ce
i
m
p
ed
an
ce
i
s
co
n
s
id
er
ed
al
m
o
s
t
n
e
g
li
g
ib
le
w
it
h
R
s
an
d
L
s
v
alu
es
b
ein
g
0
.
1
o
h
m
s
an
d
0
.
1
m
H
r
esp
ec
ti
v
el
y
.
B
o
th
s
er
ies
a
n
d
s
h
u
n
t
i
n
v
er
ter
s
ar
e
m
o
d
eled
u
s
in
g
u
n
i
v
er
s
al
b
r
id
g
es
w
it
h
I
GB
T
/d
io
d
es.
T
h
e
v
alu
e
s
o
f
s
h
u
n
t
ele
m
e
n
t
s
,
in
ter
f
ac
in
g
s
h
u
n
t i
n
v
er
ter
an
d
th
e
s
y
s
te
m
ar
e:
R
sh
=
1
o
h
m
,
L
sh
=3
0
m
H.
C
sh
=7
0
0
f
.
.
A
p
ar
t
f
r
o
m
th
i
s
a
s
h
u
n
t
p
as
s
i
v
e
f
ilter
an
d
a
s
er
ie
s
p
ass
i
v
e
f
il
ter
ar
e
also
u
s
ed
f
o
r
b
etter
co
m
p
e
n
s
atio
n
.
T
h
e
v
al
u
es
o
f
s
er
ies ele
m
en
t
s
,
i
n
ter
f
ac
i
n
g
s
e
r
ies in
v
er
ter
w
i
th
t
h
e
s
y
s
te
m
i
s
:
R
se
=
0
.
1
o
h
m
,
L
se
=
1
2
m
H.
T
h
e
v
alu
es
o
f
p
r
o
p
o
r
tio
n
al
an
d
in
teg
r
al
co
n
s
ta
n
ts
o
f
t
h
e
P
I
co
n
tr
o
ller
ar
e
tak
en
to
b
e
0
.
5
an
d
5
0
0
r
esp
ec
tiv
el
y
.
T
h
e
v
alu
e
o
f
th
e
ca
p
ac
ito
r
p
r
o
v
id
in
g
d
c
lin
k
v
o
lta
g
e
is
7
0
0
f.
Fl
ick
er
is
in
tr
o
d
u
ce
d
u
s
i
n
g
a
n
i
n
s
er
tio
n
tr
a
n
s
f
o
r
m
er
w
h
o
s
e
m
a
g
n
it
u
d
e
is
1
0
%
o
f
th
e
b
ase
v
o
lta
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ase
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
PEDS
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Unified Power Quality Conditioner for Voltage Sag and ... (Y. Kusuma Latha)
7
1
Fig
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7
2
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
PEDS
I
SS
N:
2
0
8
8
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8
694
Unified Power Quality Conditioner for Voltage Sag and ... (Y. Kusuma Latha)
7
3
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1
1.
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ilter
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Ref
er
ence
s
[
1
]
H.
A
ka
g
i,
―
N
ew
T
r
en
d
s
in
A
ctive
F
ilter
fo
r
p
o
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n
d
itio
n
in
g
‖
,
I
E
E
E
Tr
a
n
s
.
I
n
d
.
A
p
p
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n
,
vo
l.
3
2
,
n
o
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6
,
p
p
.
1
3
1
2-
1
3
2
2
,
1
9
9
6
[
2
]
H.
F
u
jita
a
n
d
H.
A
ka
g
i,
―
Th
e
Un
ified
P
o
w
er
Qu
a
lity
C
o
n
d
itio
n
er:
Th
e
I
n
teg
r
a
tio
n
o
f
S
e
r
i
es
-
a
n
d
s
h
u
n
ta
ctive
filt
ers
‖
,
I
E
E
E
Tr
a
n
s
.
P
o
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lectro
n
ics,
vo
l.
1
3
,
n
o
.
2
,
p
p
.
3
1
5
-
3
2
2
,
1
9
9
8
[
3
]
Ma
u
r
icio
A
r
ed
es,
K
leme
n
s
He
u
ma
n
n
a
n
d
E
d
s
o
n
H.
W
a
la
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d
b
le
,
―
A
Un
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a
l
A
ctive
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o
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er
Lin
e
C
o
n
d
itio
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er
‖
.
I
E
E
E
Tr
a
n
s
.
On
P
o
w
er De
livery,
vo
l.
1
3
,
n
o
.
2
,
p
p
.
5
4
5
-
55
1
,
1
9
9
8
[
4
]
B
.
S
in
g
h
,
A
L.K
.
Ha
d
d
a
d
a
n
d
A
.
C
h
a
n
d
r
a
,
―A
r
ev
iew
o
f
a
ctive
filt
ers
fo
r
p
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a
lity
imp
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ve
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I
E
E
E
Tr
a
n
s
.
o
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I
n
d
.
E
lectro
n
,
v
o
l.4
6
,
p
p
.
9
6
0
–
9
7
1
,
1
9
9
9
.
[
5
]
Yu
n
p
in
g
C
h
en
,
X
ia
o
min
g
Zh
a
a
n
d
Jin
W
a
n
g
etc.
‖
Un
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P
o
w
er
Qu
a
lity
C
o
n
d
itio
n
er
(
UP
QC
)
:
Th
e
Th
eo
r
y,
Mo
d
elin
g
a
n
d
A
p
p
lica
tio
n
‖
.
P
o
w
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S
ystem
Tech
n
o
lo
g
y,
2
0
0
0
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r
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s
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n
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p
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3
3
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0
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Evaluation Warning : The document was created with Spire.PDF for Python.
7
4
I
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N
:
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8
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8708
IJ
PEDS
Vo
l.
1
,
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.
1
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Sep
tem
b
er
2
0
1
1
:
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–
74
[
6
]
P
r
o
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a
n
o
vic,
M.
a
n
d
T.C
.
Green
,
―
C
o
n
tr
o
l
a
n
d
filt
er
d
esig
n
o
f
th
r
ee
-
p
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s
e
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ve
r
ters
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h
ig
h
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er
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u
a
lity
g
r
i
d
co
n
n
ec
tio
n
‖
.
I
E
E
E
Tr
a
n
s
a
ctio
n
s
o
n
P
o
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livery,
1
8
(
1
)
:
3
7
3
-
3
8
0
,
2
0
0
3
[
7
]
V
.
K
h
a
d
kika
r
,
P
.
A
g
a
r
w
a
l,
A
.
C
h
a
n
d
r
a
,
A
.
O.
B
a
r
r
y
a
n
d
T.
D.
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g
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ye
n
,
―A
s
imp
le
n
ew
c
o
n
tr
o
l
tech
n
iq
u
e
fo
r
u
n
ified
p
o
w
er q
u
a
lity c
o
n
d
itio
n
er (
UP
Q
C
)
,
‖ P
r
o
c.
o
n
.
Ha
r
mo
n
ics a
n
d
Q
u
a
lity o
f P
o
w
er,
p
p
2
8
9
-
2
9
3
,
S
e
p
t.2
0
0
4
[
8
]
B
.
S
in
g
h
,
V
.
V
erma
,
A
.
C
h
a
n
d
r
a
a
n
d
K
.
A
l
-
Ha
d
d
a
d
,
―
Hyb
r
id
filt
ers
fo
r
p
o
w
e
r
q
u
a
lity
imp
r
o
ve
men
t,‖P
r
o
c.
I
E
E
o
n
Gen
era
tio
n
,
Tr
a
n
s
mis
s
io
n
a
n
d
Dis
tr
ib
u
tio
n
,
vo
l.
1
5
2
,
p
p
.
3
6
5
-
3
7
8
,
Ma
y2
0
0
5
.
[
9
]
Ha
n
B
.
,
B
.
B
a
e,
H.
K
im,
S
.
B
a
ek
.
―
C
o
mb
in
ed
Op
er
a
t
io
n
o
f
Un
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P
o
w
er
Qu
a
lity
C
o
n
d
itio
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er
W
i
th
Dis
tr
ib
u
ted
Gen
era
tio
n
‖
.
I
E
E
E
Tr
a
n
s
a
ctio
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s
o
n
P
o
w
er De
livery,
2
1
:
3
3
0
-
3
3
8
,
,
2
0
0
6
[
1
0
]
Ha
n
,
B
.
,
B
.
B
a
e,
S
.
B
a
ek
,
G
.
Ja
n
g
.
―
N
ew
co
n
fig
u
r
a
tio
n
o
f
UP
QC
(
u
n
ified
p
o
w
er
q
u
a
lity
co
n
d
itio
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fo
r
med
iu
m
-
vo
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g
e
a
p
p
lica
ti
on
‖
.
I
E
E
E
Tr
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n
s
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s
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n
P
o
w
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livery,
2
1
(
3
)
:
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4
3
8
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1
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4
4
,
,
2
0
0
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B
ibl
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ra
ph
y
o
f
a
utho
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Y.K
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sum
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E
(El
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En
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Na
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Un
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In
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