Indonesi
an
Journa
l
of El
ect
ri
cal
Engineer
ing
an
d
Comp
ut
er
Scie
nce
Vo
l.
9
, No
.
2
,
Febr
ua
ry
201
8
,
pp.
347
~
350
IS
S
N:
25
02
-
4752
, DO
I: 10
.11
591/
ijeecs
.
v9.i
2
.
pp
347
-
350
347
Journ
al h
om
e
page
:
http:
//
ia
es
core.c
om/j
ourn
als/i
ndex.
ph
p/ij
eecs
High Fr
equenc
y Transfo
rm
er
fo
r Sh
ip Electric
al Pow
er System
An
u
Pri
ya
K.
R
.
1
,
T
.
S
as
il
at
ha
2
1
Resea
r
ch
Scho
l
ar,
D
epa
rtment
o
f
Elec
tr
ical Engi
nee
ring
(
E
EE
M)
,
AM
ET Unive
rs
ity
,
Chennai
2
Dea
n
,
Dep
art
m
ent
of
E
le
c
tri
c
al
Engi
ne
eri
ng
(
EEEM),
AM
ET Unive
rsit
y
,
Chenn
a
i
Art
ic
le
In
f
o
ABSTR
A
CT
Art
ic
le
history:
Re
cei
ved
Oct
15
, 201
7
Re
vised
Dec
2
0
, 2
01
7
Accepte
d
Ja
n
11
, 2
01
8
The
s
y
st
em
rep
rese
nte
d
dur
ing
t
his
pape
r
uses
3
m
at
rix
conve
r
te
r
s
and
a
high
fre
quency
elec
tr
ic
a
l
device
to
a
tt
ai
n
isolation
a
nd
volt
ag
e
tr
an
sform
at
ion
from
primary
to
sec
ondar
y
aspe
ct
.
Two
m
at
rix
conve
rt
ers
m
anuf
ac
tur
e
high
fre
quency
volta
ge
a
cro
ss
a
tr
an
sform
er,
with
o
pen
all
ove
r
pri
m
ar
y
.
a
3rd
m
at
rix
devi
c
e
co
nver
ts
the
high
f
req
uency
cut
vol
ta
ge
to
l
ine
fr
eq
uency
.
The
non
-
ide
a
li
t
ie
s
l
i
ke
outf
low
indu
ct
an
ce
of
th
e
elec
tr
ic
a
l
d
evi
c
e
have
a
b
ig
impact
on
the
d
evi
c
e
per
form
an
ce
.
Thi
s
p
ape
r
studie
s
the
impa
c
t
of
outfl
ow
induc
t
anc
e
on
t
he
reg
ul
at
ion
o
f
the
output
v
olt
ag
e
of
the
d
evi
c
e.
Th
e
sim
ula
ti
on
stud
y
has
be
en
c
arr
i
e
d
out
in
SIM
ULINK
and
al
so
th
e
resul
ts
are
pre
sente
d
.
Ke
yw
or
d
s
:
Transf
or
m
er
Vo
lt
age
AC to
A
C
Power El
ect
ronic Tec
hnolog
y
Ma
trix D
e
vice
Copyright
©
201
8
Instit
ut
e
o
f Ad
vanc
ed
Engi
n
ee
r
ing
and
S
cienc
e
.
Al
l
rights re
serv
ed
.
Corres
pond
in
g
Aut
h
or
:
Anu
Pr
iy
a
K.
R
.
,
R
esearch
Sc
hola
r,
Dep
a
rtm
ent o
f
Elec
tric
al
Engineeri
ng
(
E
EEM
),
AMET
Un
i
versi
ty
,
Chen
nai
.
1.
INTROD
U
CTION
Fast
dev
el
op
i
ng
powe
r
el
ect
r
on
ic
te
ch
nolo
gy
has
broug
ht
the
idea
of
al
l
el
ect
rical
sh
ip
cl
os
e
to
the
bounda
ry
of
r
eal
it
y
[1
]
.
Tra
ns
f
or
m
er
is
c
r
it
ic
al
to
supp
l
y
com
plete
ly
diff
e
re
nt
volt
a
ge
le
vels
in
di
ff
e
ren
t
hundre
ds
.
H
oweve
r,
gift
tra
ns
f
or
m
ers
occ
up
y
a
n
ov
e
rsiz
ed
s
pace.
s
o
a
s
to
scal
e
bac
k
siz
e,
high
frequ
e
ncy
trans
form
ers
are
nee
de
d
[
2]
to
deal
with
this
dr
a
w
bac
k,
a
high
f
re
qu
e
ncy
po
wer
el
ect
ro
nic
to
po
l
og
y
victim
iz
ation
m
at
rix
co
nv
e
rt
ers
has
been
pl
ann
e
d
[
3].
T
hough,
DC
bus
ba
sed
m
os
tl
y
syst
e
m
s
sq
ua
re
m
e
asur
e
advocate
d
in
current
pr
oposa
ls,
howev
e
r
since
m
os
t
hu
ndre
ds
square
m
easur
e
AC,
3
-
phase
AC
to
AC
conve
rsion
is
ano
t
her
[
4].
T
her
e
fore
t
he
to
po
l
og
y
plan
ne
d
us
es
a
3
-
ph
a
se
AC
t
o
AC
conve
rsion.
Le
akage
inducta
nce
is
on
e
am
on
g
the
vital
fact
or
s
t
hat
af
fec
t
t
he
perform
ance
of
the
dev
ic
e
pl
ann
e
d
[
5].
T
hi
s
pa
pe
r
stud
ie
s
inti
m
a
t
el
y
the
con
seq
uen
ce
s
of
discharge
in
du
ct
a
nc
e
of
the
trans
form
er
on
the
dev
ic
e
pe
rfo
r
m
ance
plan
ned
an
d
fi
ref
ly
al
gorith
m
us
e
d
to
ge
nerat
e
the
powe
r
[
6
]
.
T
he
m
ajo
r
aspects
stu
die
d
s
qu
a
re
m
eas
ur
e
t
he
m
od
ific
at
ion
in
out
pu
t
vo
lt
a
ge
of
t
he
co
nverter
with
c
ha
ng
e
f
reque
nc
y
and
disc
harge
in
duct
ance
in
this
m
et
ho
d
us
e
d
t
o m
arine ap
plic
at
ion
[
7
]
. T
he
s
tud
y i
s
distrib
ut
ed
in
SI
M
ULINK.
Table
1.
A
nti
-
Cl
ockwise Vec
tors
MC1
MC1
M
C2
MC3
Ou
tp
u
t
ab
c
Bca
Ab
c
Ab
c+b
ca
Bca
Ab
c
Ab
c
Bca+ab
c
Ab
c
Bca
Cab
Cab
+ab
c
Bca
Ab
c
Cab
Ab
c+cab
Ab
c
Bca
Bca
Bca+cab
Bca
Ab
c
Bca
Cab
+b
ac
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci,
Vol
.
9
,
No.
2
,
Fe
br
uary
201
8
:
34
7
–
3
5
0
348
Figure
1. Ma
trix
C
onver
te
r Dr
iven Hig
h Fre
quency
Tra
ns
f
or
m
er
Figure
2. Vect
or
s
A
ppli
ed
to
Transf
or
m
er
Figure
3. O
utput
Vect
or
f
ro
m
A
nticl
ockwise
Rotat
ing Vect
or
s
Evaluation Warning : The document was created with Spire.PDF for Python.
Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci
IS
S
N:
25
02
-
4752
High Fre
quenc
y Transf
or
me
r
for
Sh
i
p
Ele
ct
r
ic
al Po
we
r
S
ys
te
m
(
An
u
Priy
a K
. R.
)
349
2.
EFFE
CT OF
LE
AKAGE
A
high
f
re
qu
e
ncy
switc
hed
vo
lt
age
seem
s
acro
s
s
the
t
ransform
er.
Sim
ul
at
ion
resu
lt
s
of
the
vo
la
tg
e
acro
s
s
pri
m
ary
and
seco
ndary
coil
of
t
he
el
ect
rical
dev
ic
e.
Since
the
3
m
a
trix
co
nverter
s
area
unit
switc
hed
at
the
sam
e
tim
e,
a
hi
gh
f
reque
nc
y
switc
he
d
c
urre
nt
fl
ow
s
th
r
ough
the
el
ect
r
ic
al
dev
ic
e
pr
i
m
ary
and
seco
nd
a
ry.
this
flo
wing
thr
ough
the
se
c
onda
ry
of
t
he
el
ect
rical
dev
ic
e
.
A
se
ns
i
bl
e
transfor
m
er
con
ta
ins
a
de
finite
discha
rg
e
i
nduc
ta
nce
[
5].
Th
eref
or
e
,
the
c
urre
nt
can
no
t
m
od
i
ficat
ion
in
a
flash
within
the
el
ect
rical
dev
ic
e
.
The
discha
r
ge
inducta
nce
wit
hin
t
he
tra
nsfo
rm
ers
create
s
a
com
m
utati
on
delay
within
the
pr
im
ary
asp
ect
to
seco
nd
a
ry
aspe
ct
vo
lt
age
tra
nsfer
(F
i
g
ure
4)
.
At
hi
gh
f
requ
ency,
the
el
ect
rical
de
vice
dis
charge
im
ped
a
nce
is
pro
portion
al
to
f(
ll
kpr
+
n2ll
ksc
),
w
her
e
f
is
fr
e
qu
e
ncy
of
e
xcita
ti
on
,
ll
kpr
,
ll
ks
c
a
re
un
i
t
pr
im
ary
disc
harge
and
sec
onda
ry
discha
rg
e
i
nductances
se
ve
r
al
ly
and
n
is
that
the
pr
im
a
ry
to
seco
ndar
y
turn
s
m
agn
i
tud
e
relat
ion
.
T
he
input
volt
age
to
the
tran
sf
orm
er
m
ay
be
a
sq
.
wav
e
within
the
switc
h
i
nter
val
[
8
]
.
T
he
re
is
a
finite
com
m
uta
ti
on
am
ou
nt,
th
rou
ghout
that
the
di
recti
on
of
current
c
hang
es
from
po
sit
ive
(so
li
d)
to
ne
ga
ti
ve
(dotte
d)
as
s
ho
wn
in
Fig
ure
4.
D
uri
ng
the
co
m
m
utati
on
interval,
entire
in
put
volt
age
dro
ps
acr
os
s
t
he
le
a
kage
[
9
]
.
T
he
dif
fe
ren
ce
in
t
he
l
oad
cu
rr
e
nt
a
nd
seco
ndary
le
akag
e
c
urre
nt
flows
to
the
cl
a
m
p
ci
rcu
it
,
th
us
pro
du
ci
ng po
w
er lo
s
s
[
10
]
-
[
12
].
Figure
4. Tra
nsfom
er w
it
h
L
e
akag
e
In
du
ct
a
nc
e
Figure
5.
O
utput V
oltage
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Ind
on
esi
a
n
J
E
le
c Eng &
Co
m
p
Sci,
Vol
.
9
,
No.
2
,
Fe
br
uary
201
8
:
34
7
–
3
5
0
350
Figure
6. Dec
r
ease i
n
O
utput
Vo
lt
age
with
I
ncr
ease
in
Fr
e
quency
3.
CONCL
US
I
O
N
The
to
polo
gy
is
be
nef
ic
ia
l
for
facil
it
y
trans
m
issi
on
an
d
d
i
stribu
ti
on
el
ect
rical
dev
ic
e.
T
he
scal
e
of
thetrans
f
or
m
er
is
red
uce
d,
th
ereb
y,
the
pri
c
e
is
add
it
ion
al
ly
red
uce
d.
I
t'
s
determ
ined
t
hat
the
discha
r
ge
of
el
ect
rical
dev
i
ce
play
s
a
bigr
ole
withi
n
the
ou
t
pu
t
volt
age
regulat
io
n
a
nd
ov
e
rall
pote
ncy
oft
he
syst
e
m
.
The
ou
t
pu
t
volt
age
dro
ps
with
in
crease
in
disc
hargein
duc
ta
nc
e
or
sh
i
ft
fr
e
quency.
The
ref
or
e
,
it
'
s
fascinati
ng
t
o
Desig
n
a
Ele
ct
rical
D
e
vice
With Mi
nim
u
m
Discha
rg
e
In
duct
ance
REFERE
NCE
S
[1]
Khersons
ky
N
.
H
.
T
.
E
.
Y.
,
“
Pow
er
El
e
ct
roni
cs
and
Future
Mari
ne
El
e
ct
r
ic
a
l
S
y
s
te
m
s
,”
Elec
tri
cal
Engi
ne
ering
,
p
p
.
5
,
2006
.
[2]
Mohapa
tra
K
.
K
.
and
N
.
Mohan
,
“
Matri
x
conve
rte
r
fed
open
-
ended
power
el
ec
tron
ic
tra
nsform
er
for
power
sy
ste
m
appl
i
ca
t
ion
,”
i
n
Powe
r
and
Ene
rgy
Soci
e
ty
Gene
ral
Me
et
ing
-
Con
ve
rs
ion
and
Deli
ve
ry
of
E
le
c
trical
Ene
rgy
in
th
e
21
st
Cen
tury
,
pp.
1
-
6
,
2008.
[3]
Mohapa
t
ra
K
.
K
.
and
N
.
Mohan
,
“
Open
-
end
winding
induc
t
ion
m
otor
drive
n
with
indi
re
ct
m
at
rix
conv
erter
f
or
comm
on
-
m
ode
e
li
m
ina
ti
on
,”
Co
mputer
Simulati
on
Confe
ren
ce
,
pp.
106
-
111
,
20
07
.
[4]
Shivakumar
E
.
G
.
,
et
a
l.
,
“
Spa
ce
v
ector
PW
M
cont
ro
l
of
dual
inve
r
te
r
fed
op
en
-
en
d
wind
ing
induction
m
oto
r
drive
,”
EP
E
Jou
rnal
,
vol
/i
ss
ue:
1
2(1)
,
pp
.
9
-
18
,
2
002.
[5]
Kang,
e
t
al
.
,
“
Anal
y
sis
and
d
esign
of
e
le
c
tro
nic
tr
ansform
ers
for
elec
tr
ic
po
wer
distri
but
ion
s
y
stem
,”
IEEE
Tr
ansacti
ons on Power
E
le
c
troni
cs
,
vol
/i
ss
ue:
14(
6)
,
pp
.
113
3
-
114
1
,
1999
.
[6]
Kanna
n
G
.
,
e
t
al.
,
“
React
iv
e
po
wer
opti
m
iz
atio
n
using
fire
fl
y
al
gorit
hm
,”
i
n
P
ower
El
ectronic
s
and
Re
newable
Ene
rgy
S
yste
ms
,
pp.
83
-
90
,
2015
.
[7]
Sethura
m
al
ing
a
m
T
.
K
.
and
Naga
raj
B
.
,
“
A
soft
computing
appr
oac
h
on
ship
tra
jector
y
cont
rol
for
m
ar
ine
appl
i
ca
t
ions
,”
A
RP
N
Journal
of
Engi
ne
ering
and
Applied
S
cienc
e
s
,
vol/is
sue:
10(9
)
,
pp
.
4281
-
4286
,
2015
.
[8]
Alesina
,
et
al.
,
“
Anal
y
sis
and
design
of
opti
m
um
-
amplit
ude
nine
-
s
witc
h
di
rec
t
AC
-
AC
co
nver
te
rs
,”
IEEE
Tr
ansacti
ons on Power
E
le
c
troni
cs
,
vol
/i
ss
u
e:
4(1
)
,
pp
.
101
-
112
,
1
989
.
[9]
W
il
li
am
M
.
and
G
.
Elec
tr
ic.
,
“
Pow
er
conve
r
te
r
circui
ts
hav
ing
a
h
igh
fre
qu
ency
link
,”
U.S
.
Pat
en
t
,
vol
.
3
,
pp.
517
,
300
,
1970
.
[10]
Raj
ap
andi
an
A
.
and
Ramanar
a
y
a
nan
V.
,
“
A c
onstant
fre
q
uency
re
sonant
tra
nsi
ti
on
conve
rt
er
,”
J
ournal
of
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