Intern
ati
o
n
a
l
Jo
u
r
n
a
l
of
P
o
we
r El
ec
tr
on
i
c
s
an
d D
r
i
v
e
S
y
stem
(I
JPE
D
S)
V
o
l.
11
, N
o
. 2, Jun
e
20
20
, pp
. 61
1
~
61
7
I
SSN
:
208
8-8
6
9
4
, D
O
I:
10.
115
91
/i
jp
e
d
s.v
1
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.
p
p61
1-6
17
6
11
Jo
urn
a
l
h
o
me
pa
ge
: h
t
t
p
:/
/ijpe
d
s.
i
a
e
s
c
o
re.
c
o
m
Faul
t tolerance of asymm
e
tri
c
al
si
x-
phase i
n
ducti
on machi
n
e
duri
n
g si
ngle open circu
it fault
to three o
p
en
c
i
rcuit faults usin
g
GUI
U
n
g
ku Mo
h
a
med
Isma
i
l Ad
ria
n
Ung
ku Ab
d
u
l
Ra
hman
1
,
Wa
n No
ra
isha
h Wa
n A
b
d
u
l
Mun
i
m
2
,
Ha
ng
Sen
g
Che
3
, Ma
hd
i Tous
iza
d
eh
4
, K
h
a
i
rul
Sa
f
u
an
M
uha
mm
a
d
5
1,
2,
5
Fa
c
u
l
t
y o
f
Ele
c
t
ric
a
l
En
gi
nee
r
in
g,
Un
ive
r
sit
i
Te
kn
ol
og
i MARA
(Ui
T
M),
Ma
l
a
y
s
ia
2,3
,
4
UMPEDA
C
,
University
of M
a
laya, K
u
ala
Lu
mpur, Ma
laysia
A
r
ticle In
fo
A
B
S
T
RAC
T
A
r
tic
le
h
i
st
o
r
y:
Rec
e
i
v
ed
O
c
t
2
1
,
2
019
Rev
i
sed
D
e
c
15
, 20
19
A
c
ce
p
t
ed
Jan
30
, 20
20
Th
e f
a
ul
t
to
l
e
r
a
nce o
f
mu
l
t
i
p
h
a
se d
r
iv
e
i
s
favo
urable in the indust
ry for
it
s
rel
i
abilit
y and safet
y
reas
ons.
H
o
wever, from the
ed
ucat
ional
po
i
n
t
of v
i
ew,
t
h
e post-fault capabili
ty of
si
x-
phas
e machi
n
e i
s
st
ill unclear
. This
p
a
per
pres
ents th
e
fau
l
t to
lera
n
c
e
o
f
asy
mme
t
r
ic
al s
i
x-p
h
as
e in
du
cti
on
mach
ine
(A6
-IM
) un
der
o
n
e to thre
e op
en
-
c
ircu
it fa
u
l
ts usi
n
g
Grap
hi
cal
U
s
e
r
In
terf
ace
(
G
U
I
)
.
I
n
th
is
st
u
d
y
,
th
e
c
a
p
a
bi
li
ty
of A6-IM has
been
in
ter
p
reted through
a
simple and
u
s
er-
frien
dly
G
U
I help
in
g studen
t
s
to h
a
ve
a
be
tter un
d
e
rstand
ing
on
th
e cu
rren
t
limi
ts
of A
6
-IM
. The o
p
t
im
izat
io
n o
f
po
st-f
au
lt
curren
t
references
i
s
b
a
sed on
maxi
mum
torque
(
M
T)
an
d min
i
mum
lo
ss
(ML). This
wo
rk pro
v
id
es
GU
I high
ligh
ting
th
e
p
o
s
t
-f
ault d
e
r
a
ting
o
f
A
6
-IM
w
i
th singl
e
i
s
olat
ed
neu
t
ral (1N) i
n
t
w
o di
ffe
re
nt m
o
d
e
s na
me
ly
M
T
an
d ML
for
e
d
uc
at
io
n
a
l pu
rpose
s
.
Ke
yw
ords:
F
a
u
l
t-
to
le
ra
n
c
e
Gra
p
hic
a
l
use
r
i
n
te
rfa
ce
S
i
x
-
ph
as
e ma
c
h
i
n
es
Asy
m
me
tric
al
i
n
d
u
ct
i
on
machi
n
e
s
Th
is
is a
n
o
p
en
acces
s a
r
ticle
un
d
e
r the
C
C
B
Y
-SA
licens
e
.
Corres
p
o
n
din
g
A
u
t
h
or:
Wa
n N
o
ra
isha
h
Wa
n
A
b
dul
Mu
ni
m,
Fa
cul
t
y
o
f
Ele
c
t
ri
ca
l En
gine
eri
ng,
Uni
v
ersi
t
i
Te
k
nol
ogi M
A
RA
(Ui
T
M),
K
o
le
j A
m
ir
a Uit
m
P
u
n
c
ak
A
l
a
m
R
o
ad
,
423
00
Sh
ah
A
l
am,
Se
la
n
gor,
M
a
l
a
y
s
ia
Emai
l:
ai
shah
mu
ni
m@
ui
tm.e
du
.m
y
1.
IN
TR
O
DUCTION
G
r
a
p
hi
c U
s
er
Int
e
rface
(
G
U
I
)
bene
fi
ts the
c
o
mput
e
r
gra
p
h
i
c
s
fe
at
ure
s
t
o
bri
dge
a ga
p be
twe
e
n
hu
ma
n
s
a
n
d
c
o
mput
e
r
s w
i
t
h
out
ge
tt
i
n
g the
use
r
t
o
fa
ce
di
ffic
ult
i
es wi
t
h
t
h
e
prog
ram
m
i
n
g
la
n
g
u
age
[1-
5
]
.
G
U
I can loa
d
, analyze r
a
w
data
as
input and
the
user-fr
iend
ly GU
I allow
s
modi
f
i
cation of
any single
p
a
rame
te
r
.
Mor
e
ov
e
r
, G
U
I
a
b
l
e
to si
mu
la
te t
h
e p
e
rfo
r
m
ance
of
a
mach
in
e
an
d
it
ca
n
b
e
ex
te
nd
ed
t
o
o
t
h
e
r
a
p
p
lic
a
tion
s
a
s
w
e
ll [
6
]
.
H
e
nce
,
GU
I
is a
u
s
e
f
u
l
ai
d
f
o
r t
each
ing
in
M
a
chin
e
s
a
n
d
D
r
i
v
e
s
c
o
u
r
se
t
o
v
i
su
a
l
i
z
e
t
h
e pe
rfo
r
ma
nc
e ca
pa
bi
li
t
y
of mac
h
i
n
es
and
i
s
more
a
cce
ssibl
e t
o
st
ude
nt
s
wi
th
o
u
t
a
ba
c
k
gro
u
n
d
i
n
p
r
og
r
a
mming
.
On
e
p
a
r
tic
u
l
ar im
port
a
n
t
subje
c
t
i
n
M
a
c
h
i
n
es
a
n
d D
r
iv
es is t
h
e
top
i
c
ma
c
h
in
e
s
it
sel
f
.
M
u
l
tiph
a
se
machi
n
e
s
ha
ve
be
e
n
i
n
tr
oduc
ed
si
n
c
e
t
h
e be
gi
n
n
i
ng o
f
t
h
e 20t
h
ce
nt
u
r
y [7,
8
]
.
In a
d
dit
i
on
, mult
i
p
hase
d
r
i
v
es
have
a
w
i
de
r
d
e
gre
e
o
f
fre
e
d
o
m
w
h
ic
h
c
a
n
b
e
ut
il
i
z
e
d
fo
r
v
a
ri
o
u
s
pur
po
se
s
f
o
r ex
am
pl
e fa
ult
t
o
le
ra
nc
e
whe
n
t
h
e machi
n
e i
s
in fa
ul
t c
o
n
d
i
t
i
o
n
[
9
-1
2]. A
m
o
ng
mult
i
p
h
a
se machi
n
es,
those
wit
h
a c
o
m
b
i
n
at
io
n o
f
t
h
re
e
pha
ses s
u
ch
a
s
si
x,
ni
ne
, a
n
d
t
w
el
ve
pha
se
s
are
b
e
ne
fit
e
d
f
r
o
m
the
e
x
i
s
ti
n
g
t
h
ree
-
p
h
ase
mac
h
ine
[1
3,
1
4
]. In
te
r
m
s of six
-
pha
se
m
a
c
h
i
n
e
s
,
t
h
e
r
e are
t
h
re
e
ma
in
s
t
r
eam six-
ph
a
s
e ma
c
h
ine
s
w
h
ich
ar
e sy
m
m
etr
i
ca
l (
S
6
)
w
i
t
h
angl
e
di
s
p
l
ace
me
nt
60°, a
s
y
mmet
r
i
c
a
l
(
A
6
)
wi
t
h
a
ngl
e
d
i
spl
ace
me
nt
3
0
°
a
n
d
dual
t
h
re
e-pha
se
(D
3
)
wi
t
h
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
: 2
088
-8
6
94
Int
J
P
o
w
Ele
c
& D
r
i
S
y
st, V
o
l
.
1
1
,
N
o
.
2, Ju
ne
20
2
0
:
6
1
1
–
617
61
2
angl
e
di
s
p
la
ce
ment
0°
. T
h
i
s
pape
r
wi
ll
foc
u
s
o
n
t
h
e as
y
m
me
t
r
i
cal
si
x-pha
se m
a
c
h
i
n
e
wit
h
si
ngl
e
is
ol
at
ed
neut
ra
l [13
]
.
S
i
ngle
i
s
ola
t
e
d
ne
utral
poi
nt i
m
p
r
o
v
e
s
fa
ul
t-t
o
l
e
rant
a
s
i
t
gi
v
e
s
a
ddi
t
i
onal
deg
r
ee
of fre
e
d
om [14
-
17
].
Ho
we
ve
r, i
t
requi
re
s
ad
di
t
i
o
n
a
l
c
o
nt
rol
t
o
re
g
u
l
a
t
e
the
z
e
ro
c
u
rre
n
t
s
e
que
nc
e
whic
h ca
use
s
di
st
orti
on
to
th
e
p
h
ase
c
u
r
r
e
n
t
s and
re
su
lt
i
n
l
o
s
s
es [18
,
19
].
Thu
s
, in
the pr
ev
iou
s
r
e
se
arc
h
lite
r
a
t
u
re, th
e
p
o
s
t-fa
u
l
t
for
A6
-
IM
u
nde
r o
n
e
ope
n
-
ci
rc
u
i
t
fa
ul
t
(O
CF
) w
i
t
h
si
ngl
e
isol
at
ed
neut
ra
l
has p
r
ovi
de
s
bet
t
e
r
p
e
rformance
c
o
mpa
r
ed
t
o
t
w
o i
s
ol
at
ed
ne
ut
ral
s
[1
4,
2
0
].
In a
ddi
t
i
on, t
h
e
possi
bi
l
i
t
i
e
s
o
f
ope
n-ci
rcui
t
fa
ul
t
ca
n occ
u
r
d
u
e
t
o
a
n
o
p
en
-
pha
se
fa
ul
t
(O
PF
)
or
ope
n
i
s
ol
at
e
d
bip
o
l
a
r
tra
n
si
st
o
r
(IGB
T
)
fa
ult
[2
1-
24].
B
e
si
des
t
h
at
, OP
F ca
n ha
ppe
n w
h
e
r
e
one
o
r
mo
re
p
h
ase
con
n
ec
t
i
o
n
(s
)
bet
w
ee
n
t
h
e m
achi
n
e
an
d
c
onve
rt
er is ope
n
-
ci
rc
uit
e
d
or
d
u
e t
o
t
h
e
faul
t
re
co
ver
y
act
i
o
n fr
om
prot
ec
ti
ve
devi
ce [25
-
2
8
]
or
p
o
o
r
c
o
n
n
e
c
t
i
o
n
i
s
sue
s
.
T
h
e
r
e
f
ore
,
i
n
t
h
i
s
pap
e
r,
OP
F
wil
l
be
dec
l
a
r
e
d
as
O
C
F
.
Au
t
h
or
s
[
1
4
,
29
,
30
]
h
a
v
e
i
nvest
ig
a
t
e
d
th
a
t
fo
r
a
sing
l
e
OCF of a
n
asy
m
me
tr
ic
al six
-
p
h
a
se ma
ch
in
e
,
t
h
e
ma
xi
mu
m
cur
r
ent
a
c
h
i
e
v
a
b
l
e
o
u
t
p
ut i
s
69
.4
% for 1
N
. Ho
we
ver,
f
o
r
e
ducat
i
o
nal
pu
rpos
e
s
,
t
h
e
r
e is
no fa
ult
t
o
le
ranc
e
of A
6
-IM u
nde
r
1
OC
F
t
o
3
OCF
s
w
i
t
h
G
U
I
t
h
a
t
has
bee
n
ye
t rep
o
rt
e
d
.
H
e
nc
e
,
t
h
is
pape
r
p
r
ese
n
ts
th
e
po
st
-f
au
lt
ca
p
a
b
i
lit
y
o
f
asy
mme
tr
ic
al
six
-
p
h
a
se i
nduc
tio
n
mac
h
i
n
e un
d
e
r
1O
CF to
3
O
CFs
w
i
th
1N
con
f
i
g
ura
t
i
o
n
i
n
M
T
a
n
d M
L
mode
ope
rat
i
o
n
usin
g GU
I fo
r Machi
n
es
a
n
d
Dri
v
e
s
c
o
u
r
se
.
2.
R
E
S
E
ARC
H M
ETH
OD
In fa
u
lt to
le
ran
c
e
o
f
A6
-IM, th
e fi
rst stag
e inv
o
l
v
e
d
he
a
l
th
y op
e
r
at
i
o
n
b
y
ob
t
a
i
n
in
g six
-
p
h
a
s
e
bal
a
nc
e
d
st
at
o
r
p
h
ase
cu
rre
n
t
s
. F
o
r fa
ul
ty
ope
rat
i
o
n, t
h
e
op
t
i
miz
a
t
i
on
is
pe
rfo
r
me
d
based
o
n
di
ffe
r
e
n
t
ope
ra
t
i
o
n
mo
d
e
s
na
mel
y
MT
or
ML
usi
n
g E
x
c
e
l
“
S
ol
ve
r”
.
This
opti
m
iz
at
i
o
n
co
nsi
d
eri
n
g
faul
t
sce
n
a
r
i
o
s
u
p
to
3 O
C
F
s
.
Ne
xt
, G
U
I i
s
de
ve
l
ope
d
t
o
dis
p
l
a
y al
l
p
o
ssibl
e
sce
n
ari
o
s
f
r
o
m
p
r
e
-
fa
ult
t
o
p
o
st
-faul
t
usi
n
g
si
n
g
l
e
i
s
ol
at
e
d
neut
ra
l as il
l
u
strat
e
d
i
n
Fi
gu
re
1.
2.1.
Op
ti
mi
za
ti
on
o
f
A6
m
a
c
h
i
n
e
u
s
in
g e
x
c
e
l
sol
v
er
The
i
m
ple
m
e
n
ta
t
i
on o
f
fa
ul
t
-
t
o
le
rant
c
ont
ro
l
i
s
e
s
se
nt
ia
ll
y divi
de
d i
n
t
o
t
w
o
st
a
g
e
s
.
T
h
e
first sta
g
e
a
sso
c
i
a
t
e
s
w
ith
d
e
cid
i
ng
the po
st
-f
au
lt cu
rr
en
t
r
e
f
e
r
e
nce
s
.
M
eanw
h
i
l
e,
th
e second
s
t
ag
e w
i
ll
co
n
t
ro
l
th
e
cu
rr
en
ts to fo
llow
i
t
s d
e
sig
n
a
t
e
d
re
f
e
r
e
nce
s
.
Th
e
s
e two
sta
g
es
ar
e
v
e
ry
impo
rt
a
n
t
in te
rm
s
of
f
a
u
l
t-
t
o
l
e
r
a
n
t
cont
rol
.
Du
ri
ng
h
e
a
lth
y co
nd
i
tion
s
, t
h
e
x-y
and
zer
o
seq
u
e
n
c
e co
mpo
n
e
n
t
s a
r
e
k
e
p
t
to
ze
ro
w
h
il
e th
e
m
ach
in
e
i
s
c
ontr
o
ll
ed
b
y
re
gula
t
in
g t
h
e
α
-
β
c
u
rre
n
t
c
o
mpo
n
e
n
t
s
. In a fa
ult
con
d
i
t
i
on, t
h
e
re
ma
i
n
i
ng
heal
t
h
y
pha
se
c
u
rre
n
t
s w
ill b
e
un
ba
la
n
ced du
e t
o
th
e
e
f
fe
c
t
of
th
e
x-y
and z
e
r
o se
qu
en
c
e
co
mp
on
en
ts. Th
e
r
ef
or
e,
t
h
e
c
u
rre
nts
ne
ed to
be
o
p
t
i
m
i
z
ed acc
ordin
g
t
o
a
dif
f
ere
n
t
m
ode
o
f
o
p
e
r
at
i
o
n wi
t
h
re
sp
e
c
t
t
o
i
α
and
i
β
.
U
s
i
n
g
Exce
l
,
al
l
t
h
e
va
lue
s
of sta
t
or
cu
rrent
s
’
a
ngl
e
f
o
r A
6
mac
h
in
e
fro
m
0°
u
n
t
i
l
36
0°
are
ca
lc
ula
t
e
d
a
n
d
co
nve
rt
e
d
to
unit
ra
di
a
n
wh
i
c
h
i
s
kn
o
w
n
a
s
Ѳ
.
I
t
is c
a
l
c
u
l
a
t
e
d
to
g
e
t the
v
a
lu
e
of
i
α
an
d
i
β
is
gi
ve
n by:
cos
Ѳ
si
n
Ѳ
(1)
The
n
, t
h
e
val
u
e o
f
x,
y
,
0+,
a
nd
0-
c
u
rre
nt
s
are
de
sc
ri
bed
in te
rms of
α
-
β
current r
e
f
e
rence
as:
.
.
Ɓ
.
.
Ɓ
.
.
Ɓ
.
.
Ɓ
(2)
While the
α
-
β
c
u
rr
en
ts are
se
t a
s
ref
e
r
e
n
ces,
th
e on
ly chan
g
e
s
w
i
l
l
b
e
o
n
K
co
eff
i
c
i
en
t
s
n
a
m
e
l
y
,
,
,
,
,
,
re
pr
esen
ti
ng
fo
r
i
x-y
, i
o+-
0
-
.
Ne
xt
st
ep
i
s
t
o
get
t
h
e
st
at
o
r
c
u
rre
nts
of t
h
e
ma
c
h
i
n
e
whi
c
h a
r
e
,
,
,
,
,
by
ap
p
l
y
i
ng
i
n
v
e
r
s
e
d
e
c
ouplin
g
tr
an
sf
orm
a
t
i
o
n
[T6]
[14]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J Po
w El
ec
&
Dr
i
S
y
st
IS
SN:
208
8-8
6
9
4
Fa
ul
t
t
o
le
ra
nc
e of
asy
mme
tri
c
al
si
x-
ph
ase
… (U
n
g
ku
M
o
ham
e
d
Ism
a
il
Adri
a
n
U
ngk
u Ab
dul
R
a
hm
a
n
)
6
13
6
√
1
√
√
0
0
√
√
1
1
√
√
0
0
√
√
1
√
√
√
√
√
√
√
√
√
√
√
√
(3)
The
r
e
are
t
w
o
t
ype
s of o
p
t
i
mi
za
ti
on use
d
in thi
s
pa
per w
h
ic
h
a
r
e
t
h
e mi
ni
m
u
m
l
o
ss
(ML
)
a
n
d
maxi
mum
t
o
rq
ue
(M
T) a
s
de
fi
ned i
n
(4
) a
n
d
(5
).
Fi
gu
re
1. O
p
t
i
mi
za
ti
on ba
se
d
o
n
M
T
o
r
ML
and
G
U
I fl
ow
c
h
art
Sta
r
t
Ob
t
a
in
ix
y*
an
d
i0+
0
-
*
refe
rences
ex
pres
s
in
te
rms
of
ia
lph
a
*
an
d
ib
et
a*
for
K
coe
ffi
ci
ent
s
ix
-y
an
d
izero
s
e
que
nce
are
e
qua
l
to
zero
?
Op
ti
mi
za
ti
on
us
i
n
g
“So
l
ve
r”
in
MS
Office
Ex
c
e
l
En
d
No
Ye
s
Al
l
coe
f
i
c
ie
nts
(
K
)
are
se
t
to
zero
Fa
ult
y
pha
se
e
qua
l
to
zero?
Si
gna
l
s
ba
sed
on
MT
or
ML
ar
e
co
r
r
ec
t?
Co
l
l
ec
t
all
the
p
a
ra
m
e
te
rs
Usi
n
g
Ma
tl
ab
Si
mu
l
i
n
k
to
si
mu
l
a
t
e
th
e
res
u
lts
Co
m
p
a
r
e
wi
th
Ex
ce
l
re
sul
t
,
is
it
sa
me
?
Sa
ve
al
l
th
e
waveforms
Pe
rform
GU
I
to
dis
p
la
y
th
e
waveforms
Hea
l
t
h
y
si
gna
l
s
ar
e
c
o
rrect?
Ye
s
Ye
s
Ye
s
Ye
s
No
No
No
No
St
art
Desi
gn
th
e
GU
I
Is
GU
I
Wa
ve
form
Re
sult
sam
e
wi
th
Si
mu
lin
k
Wa
veform
?
Sa
ve
GU
I
da
ta
End
Yes
No
In
te
gr
at
e
Si
mu
l
i
n
k
with
GU
I
Crea
te
GUI
Cod
i
ng
Us
er
In
te
r
f
ac
e
Coe
f
fi
c
i
en
ts
Disp
la
y
Wa
ve
for
m
in
GU
I
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
: 2
088
-8
6
94
Int
J
P
o
w
Ele
c
& D
r
i
S
y
st, V
o
l
.
1
1
,
N
o
.
2, Ju
ne
20
2
0
:
6
1
1
–
617
61
4
ML mo
de:
T
h
e
p
u
rp
ose
of
M
L
is to
mini
miz
e
the
st
at
o
r
c
o
p
p
er loss
d
e
fi
ne
d
b
y
eq
ua
ti
o
n
A
ML
[1
7]
.
mi
n
Ɓ
(4)
H
o
w
e
ver, for
t
h
is mo
de, t
h
e
maxi
m
u
m a
c
h
i
e
va
bl
e
tor
q
ue
i
s
re
duc
ed
a
nd le
a
d
s t
o
u
n
e
ve
n
p
h
ase
current
. M
T
mode:
Fo
r
t
h
i
s
mo
de, A
MT
ai
ms sp
ec
ific
al
l
y
a
t
opt
imi
z
i
n
g t
h
e
t
o
rq
ue a
n
d
t
h
e am
pl
it
ude
of t
h
e
α
-
β
ph
aso
r
.
Th
e
l
i
m
ita
tio
n
ca
n be se
en from
t
h
e
h
i
gh
er
v
a
lu
e
s
o
f
sta
t
o
r
c
opp
er
lo
s
s
es
co
mp
are
d
to
M
L
mo
de.
ma
x
|
Ɓ
|
(5)
F
o
r
si
ngl
e
i
s
ol
at
ed neut
ra
l,
z
e
ro
-se
que
nc
e
c
u
rrent
can
fl
o
w
fr
om wi
n
d
i
n
g
1
t
o
wi
n
d
i
n
g
2 o
r
vic
e
versa
a
s
gi
ve
n
i
n
(
6
).
B
o
t
h
z
e
r
o-se
q
u
ence
wi
l
l
be
ze
ro
i
f
usi
n
g
tw
o
i
s
ol
at
e
d
ne
ut
ra
ls.
I
0+
+
I
0
−
= 0
.
(6)
O
p
t
i
m
iz
at
i
on i
s
do
ne
u
s
in
g
MS
Offi
ce
E
x
c
e
l
“
S
ol
ver”
,
an a
d
d-i
n
t
h
a
t
fu
nct
i
on
s
a
s
a n
o
n
li
nea
r
opt
imi
zat
i
o
n
a
l
go
ri
t
h
m. A
p
p
l
y
i
ng [T
6
]
-1
o
n
t
o
t
h
e
VS
D
cur
r
ent
s
t
o
o
b
t
a
i
ne
d s
ubse
q
uent
pha
se c
u
rre
nts
ampl
it
ud
es
a
n
d
the
co
e
f
fi
ci
ent
s
wi
l
l
diffe
r
fo
r
e
a
c
h
it
erat
i
on.
T
h
e
opt
i
m
iz
at
ion
goa
l
is de
pe
n
d
ent
o
n
(4)
an
d
(5
)
fo
r
ML a
n
d
MT
m
ode
s re
s
p
ect
i
v
el
y
wi
t
h
c
onst
r
a
i
nt
s
of
(6)
an
d
t
h
e
fa
ul
t
e
d
pha
se
(s
)
w
i
l
l
be
ze
ro
.
2.2. Perf
orm
a
nce o
n
di
ca
tor
Thi
s
pa
per
ha
s t
w
o i
ndi
ca
t
o
r
s
t
h
at
wi
l
l
be
abl
e
t
o
rat
e
t
h
e p
o
st-
f
a
u
l
t
pe
rfor
ma
nce
of t
h
e
ma
c
h
i
n
e
whi
c
h
i
s
t
h
e
de
rat
i
ng
fac
t
or
a
nd
no
rmal
i
zed
p
o
st
-faul
t
st
at
o
r
c
o
p
p
e
r
los
s
.
-
De
ra
ti
n
g
fac
t
or
(
a
)
:
t
h
e
va
l
u
e of pe
r
u
n
i
t
of
t
h
e
c
u
rre
n
t
pha
so
r mo
d
u
l
e
post
f
a
u
lt
α
-
β
, w
i
th
t
h
e restriction
t
h
at
t
h
e
pea
k
p
o
stfa
ul
t p
h
ase
current
w
oul
d not
su
rpa
s
s t
h
e
rat
e
d
p
h
a
s
e c
u
rre
nt [3
1].
Ɓ
.
Ɓ
.
(7)
The
hi
ghe
r ma
ximu
m
t
o
rq
ue
fo
r a gi
ve
n c
u
rrent
li
mit
ca
n be ac
h
i
e
v
e
d
if
the
de
rat
i
ng
fa
c
t
or
va
l
u
e
is
hi
ghe
r.
-
N
o
rm
a
liz
ed
Po
st-
f
a
u
lt
Stato
r
Co
pp
er
Lo
ss
(
P
los
s
)
:
The
ph
a
s
e
cu
rren
t
s
w
ill
b
e
d
i
f
f
e
r
e
n
t
w
h
en
u
s
i
ng
the
di
ffe
r
ent
m
ode
s, s
o
t
h
e st
at
or c
o
p
p
e
r
los
s
may
v
a
ry. T
h
e st
at
o
r
c
o
p
p
e
r
l
o
ss
,
whi
c
h
i
s
no
rmal
i
z
e
d
t
o
a
heal
t
h
y
s
y
st
em
, can
,
t
h
e
r
efo
r
e
,
be
de
t
e
rmi
n
e
d
on
the
ba
si
s of:
Ɓ
.
Ɓ
.
(8)
A
f
t
e
r
p
o
st-fa
u
l
t
c
u
rre
nts o
f
A
6
-IM be
in
g
opt
imi
zed, the
n
e
xt st
ep i
n
vol
ve
s GU
I. T
h
e G
U
I
i
s
cre
a
t
e
d
usin
g
M
A
TL
A
B
so
ft
wa
re. Us
i
n
g
G
U
I a
ppl
i
c
at
i
on, al
l
wa
ve
fo
rms
o
f
cu
rre
n
t
s
fo
r he
al
t
hy,
M
L
a
n
d MT
l
o
c
a
t
e
d
i
n
o
n
e s
y
st
em
t
o
ea
sie
r
t
h
e
user t
o
l
o
o
k
a
n
d
ana
l
yz
e t
h
e
wa
vef
o
rm a
n
d
da
t
a
.
GUI
of
fer
p
o
i
n
t-a
n
d-cl
i
c
k
navi
gat
i
o
n
of
soft
ware
a
ppl
i
cat
i
ons, mi
ti
g
a
t
i
ng
t
h
e
ne
c
e
ssit
y
for
t
h
e
user
t
o
st
u
d
y
a
l
a
n
gua
ge
o
r
t
ype
comma
n
d
for t
h
e ap
pl
i
cat
i
on
to run
.
M
A
TL
AB ca
n be
use
d
to c
r
eat
e
G
U
Is as a front
e
n
d whi
c
h
wi
ll
t
h
en be
pro
g
ra
mmed
to
aut
o
mat
e
a
c
t
i
o
ns
s
u
c
h
a
s
t
a
s
k
s a
n
d ca
lc
ul
at
ions
.
3.
R
E
S
U
LTS
AND ANALY
S
IS
Ta
ble
1
s
h
o
w
s
t
h
e ove
ral
l
v
a
l
u
es of de
rat
i
ng
fac
t
ors,
P
lo
ss
, a
n
d
c
o
ef
fi
ci
ent
s
of t
h
e
A6 i
n
d
u
c
t
ion
machi
n
e
un
de
r
1
O
C
F
t
o
3
O
C
F
s wit
h
1
N
. Fr
om
Tabl
e
1
,
M
T
m
ode
has
a
hig
h
e
r
val
u
e of
de
rat
i
ng
f
act
o
r
i
n
a
ll
si
tu
a
tio
n
s
.
At
1O
CF,
M
T
m
o
d
e
pr
odu
c
e
s 69.
4
%
o
f
der
a
tin
g fac
t
o
r
wh
ile
a
t
ML mo
d
e
, t
h
e val
u
e
o
f
t
h
e der
a
t
i
ng
f
act
or
de
crease
s
t
o
5
4
.1%
.
2
O
C
F
s a
l
so e
xpe
ri
e
n
c
e
dec
r
e
a
s
i
ng
va
lue
o
f
de
rat
i
ng
fac
t
or i
n
th
e
co
mp
ar
ison
of
M
T
t
o
M
L
mod
e
wh
i
c
h
ar
e
57
.7
%
to
53
%.
Bo
t
h
MT a
n
d M
L
mod
e
f
o
r
3O
CFs
g
i
ve
s 5
0
%
.
There
f
ore
,
MT
mo
de o
b
t
a
i
n
e
d
more ma
xi
mum to
rq
ue
fo
r
a give
n
c
u
rre
nt
l
i
mi
t
c
o
mpa
r
e
d
t
o
ML m
o
d
e
d
u
e
t
o
t
h
e hi
ghe
r
der
a
t
i
ng
fac
t
or.
While for
the
P
lo
ss
, M
L
mo
d
e
pro
duce
d
l
o
wer
P
lo
ss
c
o
mp
ared t
o
MT m
ode
i
n
a
l
l sit
u
at
i
ons.
Fr
om
Tabl
e 1
,
unde
r
1
O
C
F
, ML a
c
hi
eve
d
1
.
3
3
3
co
mp
a
r
e
d
t
o
MT
w
h
i
c
h
i
s
1.
72
8. F
o
r 2O
CF
s
sce
n
a
r
i
o
s,
ML
o
b
t
a
i
n
e
d 1
.
9
31
com
p
a
r
ed
to
M
T
wh
i
c
h
is
2 wh
il
st for
3OCFs,
bo
t
h
M
L
an
d M
T
mod
e
ac
h
i
e
v
ed 2.
The
r
efo
r
e
,
i
t
ca
n
be c
onc
l
ude
d
t
h
at
t
h
e
ML
m
o
de o
b
ta
ine
d
l
o
we
r
c
o
ppe
r l
o
sses
fo
r a
give
n
c
u
r
r
ent
l
i
mit
compa
r
e
d
t
o
MT
mode
.
Evaluation Warning : The document was created with Spire.PDF for Python.
In
t J
P
o
w
Elec &
Dri Sy
st
I
SSN
: 2
0
8
8
-8
69
4
Fa
ult
tol
e
ra
nc
e
of
asy
mmet
r
i
c
al
si
x-
ph
ase
… (U
n
g
k
u
M
o
ha
me
d Ism
a
i
l
Adri
a
n
U
ngk
u
Ab
dul R
a
hm
a
n
)
6
15
S
i
mu
l
a
ti
on
te
st
s a
r
e
c
a
r
r
i
e
d
ou
t
using
th
e S
i
mu
l
i
nk
o
f
M
A
TLA
B to
v
a
l
i
da
te
th
e
K
c
o
e
f
fi
ci
ent
s
use
d
i
n
Ta
ble
1.
B
a
s
ed
on
t
h
e i
n
f
o
r
m
a
t
i
o
n
i
n
Ta
bl
e
1,
t
h
e
st
a
t
o
r
pha
se
c
u
r
r
e
nt
s f
o
r
t
h
e
pr
e
-
f
a
ul
t
(
<
0.02
) a
n
d
post
-fa
ult
(
>
0.
02
)
w
e
re
p
l
o
tte
d
.
Tabl
e
1. C
o
ef
fi
ci
ent
s
ba
se
d o
n
MT
an
d ML
u
nde
r
1
t
o
3
OCF
s
f
o
r
A
6
-
I
M
Mode
O
C
F (
phase
f
a
ult)
1N
a P
los
s
Coe
ffic
ient
s,
MT
1O
CF
(a
1)
0.
694
1.
728
k1=
-
0
.
641 k2= -
0
.
209 k3= -
0
.
754 k
4
=
-0.
296 k5= 0 k6
=
0
k7=
-
0
.
507 k8= 0.
296
2O
CFs
(a
1,
c
2
)
0.
577
2.
000
k1=
-
1
k2= 0 k3=
0 k
4
=
-1 k5=
0 k6
= 0 k7= 0 k8= 0
3O
CF
s (a
1,
b1, c
1
)
0.
500
2.
000
k1=
-
1
k2= 0 k3=
0 k4
=
1 k5= 0 k6=
0 k7=
0 k
8
=
0
ML
1O
CF
(a
1)
0.
541
1.
333
k1=
-
0
.
666 k2= 0
k3= 0 k4=
0 k5= 0
k6= 0 k7= -
0
.
471 k8= 0
2O
CFs
(a
1,
c
2
)
0.
530
1.
931
k1=
-
0
.
815 k2= -
0
.
044 k3= 0 .
1
8
5
k4=
-1.
044 k5=
0 k
6
=
0 k7= -
0
.
261
k8
=
0.
062
3O
CF
s (a
1,
b1, c
1
)
0.
500
2.
000
k1=
-
1
k2= 0 k3=
0 k4
=
1 k5= 0 k6=
0 k7=
0 k
8
=
0
(a
)
(b
)
(c)
F
i
gu
re
2:
S
t
at
o
r
pha
se
c
u
rre
nt
s in
hea
l
t
h
y,
M
L
m
odes
a
n
d MT mo
des
f
o
r
asymmet
r
ic
al
s
i
x-
pha
se
i
n
d
u
ct
i
o
n
mac
h
i
n
e
wi
t
h
si
ngl
e i
s
ol
a
t
e
d
neut
ra
l
u
n
d
er
(a
)
1
O
C
F
,
(
b
) 2O
CF
s,
(
c
)
3
O
CF
s
(
a
)
(
b
)
(
c
)
Fi
g
u
re
3
:
G
U
I
s
y
ste
m
fo
r
asym
me
tri
c
a
l
six-p
h
a
se
indu
cti
o
n
m
ach
in
e un
der
(
a
)
1
O
CF
,
(b
) 2
O
CF
s
,
(
c
)
3
O
C
F
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
: 2
088
-8
6
94
Int
J
P
o
w
Ele
c
& D
r
i
S
y
st, V
o
l
.
1
1
,
N
o
.
2, Ju
ne
20
2
0
:
6
1
1
–
617
61
6
F
i
gure
2 sh
o
w
s t
h
e re
sul
t
s
f
o
r A
6
-IM d
u
ri
n
g
1
O
C
F
,
2
O
C
F
s, an
d
3OC
F
s
wit
h
si
ngl
e i
s
ol
at
ed ne
ut
ral
un
de
r he
al
t
hy and
p
o
st
-faul
t
co
ndi
t
i
o
n
ba
s
e
d on
ML an
d MT mo
de. In
heal
t
h
y
c
o
n
d
i
t
i
o
n
for t <
0.02s
,
a
ll t
h
e s
t
a
t
or
ph
as
e
c
u
r
r
en
ts
hav
e
sa
me a
m
p
l
i
t
u
d
e
. Af
te
r t > 0.02
s wh
ic
h is i
n
a fau
l
t
cond
i
tio
n
,
M
L
w
i
l
l
l
e
a
d
t
o
an
une
ve
n
pha
se am
pl
it
ude wa
ve
fo
rm a
nd MT
mo
de
wi
l
l
gi
ve e
q
u
a
l
i
ze ampl
it
ud
e of
remai
n
i
n
g
hea
l
thy
pha
se c
u
rrent
s. As s
h
ow
n i
n
F
i
gu
re
3, t
h
ere
a
r
e t
h
re
e sect
i
ons
di
s
p
l
a
ye
d i
n
G
U
I
whi
c
h a
r
e
he
al
t
h
y
ope
rat
i
on
,
opt
imi
zat
i
o
n o
f
p
o
st
-fa
u
lt
ba
se
d
o
n
MT
an
d ML
a
n
d t
h
e
c
o
m
p
ari
s
on
o
f
p
o
st
-fa
u
lt
pe
rformanc
e
i
n
di
c
a
t
o
r
sho
w
in
g
t
h
e
d
e
rat
i
ng
fa
ct
o
r
and st
at
or
c
o
p
p
er l
o
sse
s
.
Wi
th
t
h
is
u
s
e
r
-f
ri
endl
y G
U
I s
y
st
e
m
, i
t
wi
l
l
e
a
sie
r
fo
r
th
e
u
s
er
s
to
lea
r
n
an
d
an
al
y
z
e
th
e
f
a
u
lt
to
ler
a
n
c
e c
a
p
a
b
ili
ty
o
f
asym
me
tric
al
six
-
ph
a
s
e
in
du
c
t
i
o
n ma
ch
in
e
s
un
de
r si
ngl
e
o
p
en
ci
rc
uit
fa
ul
t
t
o
th
re
e
ope
n-c
i
rcui
t fa
ult
s
w
i
t
h
1
N
.
The
use
r
just
n
e
e
d
s t
o
cl
i
c
k the
b
u
t
t
o
n
a
n
d
th
e
r
e
su
lt o
f
pre-
and
p
o
st-
f
ault
cu
r
r
e
n
t
s w
ill
d
i
sp
lay
to
t
h
e
u
s
e
r
. Ap
art
from t
h
at,
th
i
s
GUI
h
e
lp
s th
e
use
r
to
have
bet
t
e
r u
n
d
erst
a
ndi
ng
o
n
the
ope
rat
i
o
n
of
m
u
l
t
ipha
se
mac
h
ine
.
4.
CO
NCL
U
S
I
O
N
In
t
h
is
pa
pe
r,
an
a
n
al
ysi
s
of t
h
e
fa
ul
t
-
t
o
le
rant
c
a
p
a
b
i
l
i
t
y
of
si
x-p
h
as
e
as
ymmet
r
i
c
a
l
i
n
d
u
ct
io
n
machi
n
e
s
u
n
d
e
r
o
n
e
ope
n
-
c
i
r
c
ui
t faul
t
unt
i
l
t
h
re
e
ope
n
-
c
i
rcui
t
faul
t
s
w
i
t
h
si
ngl
e
i
s
ol
at
ed ne
ut
ra
l
ha
s
been
pre
s
e
n
te
d
.
The
pa
per
pre
s
e
n
t
e
d t
h
e
hea
l
t
h
y
o
p
era
t
i
o
n
,
c
o
mpa
r
i
s
on
of
mi
ni
mu
m l
o
ss
, ma
xim
u
m
to
rq
ue
,
derat
i
n
g
fac
t
o
r
and
sta
t
or
c
o
p
p
e
r
l
o
s
s
es un
de
r
di
ffere
nt fa
ul
t
sc
enari
o
namel
y
1OC
F
, 2OC
F
s,
a
n
d
3
O
CF
s.
F
o
r faul
t
-
t
o
le
ranc
e of
A
6
-I
M
,
i
t
c
a
n
be
conc
l
ude
d
t
h
at
MT
m
ode
is mo
re fav
o
r
a
b
l
e
t
h
an ML
mode
as
th
e
g
a
i
n
in
torq
u
e
/
p
ow
er
is
g
e
n
e
ra
lly
more
sign
if
ic
a
n
t t
h
a
n
t
h
e
i
n
cr
e
a
s
e
i
n
po
w
e
r
losse
s [12
]
.
W
i
t
h
e
v
e
r
y
addi
t
i
o
n
a
l
o
p
e
n
c
i
rc
ui
t
fa
ult
,
t
h
e
ga
i
n
i
n
dera
ti
n
g
fac
t
or
(he
n
ce
t
o
r
que
/
p
o
w
er) be
c
o
mes
mo
re
ma
rgi
n
al
.
The faul
t sc
e
n
ario
wit
h
1 OC
F
c
l
early pr
o
m
ot
es
t
h
e
use
o
f
A6
-1N
.
Ho
w
e
v
e
r
,
th
e ma
c
h
in
e
i
s
cap
ab
le
to
ope
ra
t
e
i
n
2
OC
Fs
an
d
3
OCF
s
. A
s
far
a
s
t
h
e
faul
t t
o
l
e
ra
nce i
s
co
nce
r
ne
d,
t
h
e
GU
I is
be
ne
fi
ci
al
fo
r
t
h
e e
d
ucat
or
t
o
use
as a
n
ai
d
for t
e
achi
n
g a
n
d l
e
a
r
nin
g
,
pa
rt
ic
ula
r
l
y
i
n
Mac
h
ine
s
an
d
Dri
v
es
co
urse.
A
C
KNOW
LE
D
G
E
M
EN
TS
The
aut
h
ors
woul
d l
i
ke t
o
ap
p
r
eci
at
e th
e
ai
d
o
f
the M
a
lays
ian g
over
n
me
nt
und
er
the p
r
oj
ect n
u
mber
M
O
01
3-
20
16 a
nd th
e
Un
iver
si
ti
T
e
k
nol
ogi
M
A
RA (
U
i
T
M
)
th
r
oug
h the Mal
a
ysi
a
n
M
i
n
i
st
r
y
of
Hig
h
er
E
ducati
on.
RE
FERE
NC
E
S
[1]
A. Z.
Bi
n
Abdull
ah
,
M
.
Is
a,
M.
N
.
K.
H.
Rohani,
S. A.
B. S. J
a
ma
lil,
A
.
N. N.
Abdullah
,
and
N. A
z
iz
an,
“Dev
elo
p
m
ent
o
f
smart on
line
p
a
rtia
l
d
i
s
c
ha
rge
mo
nito
rin
g
s
y
s
t
e
m
fo
r med
i
um v
o
l
t
age
po
wer
cab
le
,”
I
n
ter
nat
io
na
l
J
o
urna
l o
f
P
o
wer El
ec
tron
i
c
s
and
Driv
e
Sy
st
e
m
s
(IJ
PE
DS)
,
vo
l.
10,
no.
4,
p
p
. 2
190-2
1
9
7
,
2
0
1
9
.
[
2
]
H
.
N
.
M
.
S
h
a
h
,
M
.
F
.
A
b
d
o
l
l
a
h
,
Z
.
Kam
i
s,
M
.
S
.
M. Aras
, M
.
R.
Baharo
n,
and
M
.
Z. A
.
S
a
lleho
d
d
i
n
,
“Dev
elo
p
an
d
im
p
l
e
m
en
tation
o
f
P
C
bas
e
d
co
ntrolle
r
for
hum
an
oid rob
o
t
us
in
g digital p
o
ten
t
i
o
meter,
”
In
do
nesia
n
J
o
u
r
na
l
o
f
El
e
c
tr
ica
l
E
n
g
i
n
eer
in
g a
n
d
C
o
m
p
u
t
er
Sc
ien
c
e
,
v
o
l. 15
, n
o
.
1
,
pp
.
10
4-11
2,
20
19
.
[
3
]
N
.
A
.
S
a
l
i
m
,
H
.
M
o
h
a
m
a
d
,
Z
.
M
.
Y
a
sin, N.
F
a
d
i
l
a
h,
and
A.
Aziz,
“Graph
ica
l
u
s
er interfa
ce
bas
e
d mod
e
l for
tran
smiss
i
o
n
lin
e
p
e
rform
anc
e
imp
l
em
ent
a
tion
i
n
po
wer
s
y
s
t
em
,”
In
do
ne
sia
n
Jo
urna
l
of
E
l
ec
tric
a
l
En
g
i
ne
e
r
i
n
g
an
d Comp
uter
S
c
ien
c
e
,
v
o
l.
1
6
,
n
o
.
1
,
pp.
9
2
-
100,
20
1
9
.
[4]
N. Te
lag
a
m, S
.
Laks
hmi, an
d
K.
N
e
hru
,
“Ber
an
alys
is
o
f
conc
ate
n
ated
lev
e
ls o
f
e
n
coding
in G
F
DM
sys
t
em us
in
g
la
bvi
e
w,
”
I
n
d
one
si
a
n
J
o
u
r
na
l o
f
El
ec
t
r
i
c
a
l
En
g
i
ne
e
r
i
n
g
an
d
Co
mp
ut
e
r
S
c
ie
nce
,
v
o
l. 14
, n
o
.
1
,
pp
.
80
-91,
20
19
.
[5]
W. L.
M
a
rtin
ez
, “G
ra
p
h
ic
al
u
s
er interf
ace
s
,
”
W
i
l
ey Int
e
r
d
iscip
.
Re
v.
Co
mp
ut.
S
t
at
,
v
o
l
.
3, n
o
.
2, p
p
.
11
9-
13
3,
20
11.
[6]
J. S. Sherfey
et
al.
,
“
D
y
n
a
S
i
m
:
A MAT
L
AB too
l
b
o
x
fo
r ne
ura
l
m
o
de
li
ng a
nd
si
m
u
l
a
ti
on,
”
Fro
n
t.
Neur
oinfor
m
,
v
o
l
.
1
2
,
no.
M
a
rc
h,
pp.
1-1
5
, 20
18.
[
7
]
H
.
S
.
C
h
e
,
E
.
L
e
v
i
,
M
.
J
o
n
e
s
,
W
.
P
.
H
e
w
,
a
n
d
N
.
A
.
R
a
h
i
m
,
“
C
u
r
r
e
n
t
c
o
n
t
r
o
l
m
e
t
h
o
d
s
f
o
r
a
n
a
s
y
m
m
e
t
r
i
c
a
l
six-p
h
as
e in
du
ctio
n
m
o
to
r
driv
e,”
IE
EE Trans.
Power
E
l
e
c
tron
,
v
o
l.
29, n
o
.
1, p
p
.
4
0
7-
41
7,
20
14.
[8]
D.
V
e
rma,
K.
B.
Yada
v
,
and
P.
K
u
mar,
“P
erfo
rmanc
e
ev
alua
tion
o
f
a
s
ymm
e
t
r
ica
l
mul
t
iph
a
s
e
in
duct
i
o
n
moto
r
us
in
g Matlab
/
S
i
mu
link
,
”
Pr
oc.
- 20
16
Int.
Co
nf.
Ad
v.
Co
mpu
t
.
C
o
mm
un
.
Autom.
ICACCA 201
6
, pp.
1-
6
,
20
16.
[9]
N.
K. Nguyen, F.
Meinguet
, E.
S
e
mail, an
d
X
.
Kes
t
elyn
,
“F
aul
t
-toleran
t o
p
e
rat
i
on
of
an o
p
en-
e
n
d
w
i
nd
in
g five
-
ph
ase
PM
S
M
d
r
iv
e with
sh
ort-cir
c
uit inv
e
r
t
er
fau
l
t,”
IEEE T
r
an
s. I
n
d.
Ele
c
tro
n
,
vo
l.
63
,
no
. 1
,
pp
. 5
9
5
-
605
, 2
0
1
6
.
[1
0]
F.
Yu,
M.
Ch
e
n
g
,
K.
T. C
h
a
u
,
an
d
F.
Li
, “
C
o
n
t
r
o
l
a
n
d p
e
rforma
n
c
e
e
v
a
l
u
a
ti
on
of m
u
ltip
h
a
se
FSPM m
o
t
o
r
in
l
o
w-
sp
eed reg
i
o
n
fo
r
hy
brid
e
l
ec
tric v
e
hic
l
es
,”
En
erg
i
es
,
vo
l. 8, n
o
.
9
,
p
p
.
10
33
5
-
10
353,
20
1
5
.
[1
1]
D.
T
i
ng
, L.
Fe
n
g
hu
i
,
a
nd S.
L
i
,
“
F
a
u
l
t
-t
o
l
e
r
a
n
t
me
th
od fo
r six
-
pha
se
PMSM
by
a
d
ju
st
in
g ph
a
s
e
a
n
gl
e,
”
20
17
2
0
t
h
In
t.
Conf. Ele
ct
r. Ma
c
h
.
S
y
st.
ICEM
S 2
0
1
7
, 20
1
7
.
[1
2]
M.
Re
za
l
a
n
d
D.
Ish
a
k, “
P
e
rfo
rm
a
n
ce
e
v
a
l
ua
ti
o
n
of m
u
lt
i-p
h
a
s
e
p
e
rma
n
e
n
t m
a
g
n
e
t
syn
c
h
r
on
ou
s
m
o
t
o
r ba
se
d
on
d
i
ffe
re
nt win
d
i
ng c
o
nfi
g
u
r
a
t
io
ns
an
d magn
eti
zatio
n
p
a
tterns,
”
I
n
terna
t
ion
a
l
Jo
ur
na
l o
f
Power
Electro
nics
an
d
Dr
ive Syst
ems
(I
JPEDS)
,
v
o
l.
1
0
,
n
o
. 3, p
p
. 11
97
-1
20
6,
20
19.
[1
3]
E
.
Le
vi
,
F.
Ba
rr
ero,
a
n
d
M.
J.
Du
ra
n,
“
M
ul
tip
ha
se m
a
c
h
i
n
e
s
a
n
d driv
e
s
-
r
e
v
i
s
ite
d,
”
I
EEE
T
r
an
s.
I
n
d
.
E
l
e
c
tr
on
.
, vo
l
.
63
, n
o
.
1
,
pp
.
42
9-4
32,
20
16
.
[1
4]
H. S.
Che
,
M.
J.
Du
ra
n
,
E.
L
e
v
i
,
M.
Jo
ne
s,
W.
P.
He
w,
a
n
d
N. A.
R
a
him
,
“
P
o
s
t
f
aul
t
ope
ra
tio
n of
a
n
a
s
y
m
m
e
trica
l
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J Po
w El
ec
&
Dr
i
S
y
st
IS
SN:
208
8-8
6
9
4
Fa
ul
t
t
o
le
ra
nc
e of
asy
mme
tri
c
al
si
x-
ph
ase
… (U
n
g
ku
M
o
ham
e
d
Ism
a
il
Adri
a
n
U
ngk
u Ab
dul
R
a
hm
a
n
)
6
17
six-p
h
as
e
in
du
c
t
io
n
m
achin
e
with
s
i
n
g
le
and
tw
o
i
s
o
l
ated
n
e
utra
l p
o
ints,”
I
E
EE
T
r
a
n
s
.
P
o
w
e
r
El
ectr
o
n
, vo
l.
29
,
no
.
1
0
,
pp.
5
4
0
6
-
5416
,
2
0
1
4
.
[
1
5]
S.
N
.
Vu
ko
sa
v
i
c
,
M.
Jo
ne
s
,
E. L
e
v
i
,
a
n
d
J.
Va
r
g
a
,
“Ro
t
o
r
f
l
ux orien
t
ed
co
n
t
ro
l of a sym
m
etrica
l six-ph
a
s
e
indu
ction
m
achin
e,”
E
l
ectr.
Pow
e
r
Syst
. Res
,
vo
l.
75,
no
.
2
-
3,
p
p
.
14
2-15
2,
20
05
.
[16]
I.
Gonzal
ez-Prieto,
M.
J
.
D
u
r
a
n,
H.
S
.
Ch
e,
E. Lev
i
, M
.
Ber
m
ú
d
ez, an
d
F
.
B
a
rrero
, “F
au
lt-toler
ant
op
er
ation
of
six-p
h
as
e energ
y
c
o
nv
ersion
sy
stem
s
w
ith
p
a
ra
ll
e
l
mach
in
e-s
i
d
e
c
o
n
v
erters,”
IEEE T
r
ans
.
Power
Ele
c
tr
on
, vo
l.
3
1
,
n
o
.
4
,
pp.
3
0
6
8
-
30
79
,
2
0
16.
[17]
W
.
N.
W
.
A. M
unim, H. S. C
h
e, and W.
P.
Hew,
“F
au
l
t
Toleran
t
Capabilit
y
of
Sy
m
m
etr
i
cal
Mult
i
p
hase
Machi
n
es
under One
Open
-Ci
r
cuit F
a
ult.”
[18]
H. S. C
h
e, A. S.
A
b
del-Khalik
, O
.
Do
rdevi
c
,
and
E.
Lev
i
, “P
aram
eter
Es
tim
a
tion
o
f
Asy
mm
etrical S
i
x
-
Ph
as
e
Ind
u
ctio
n M
a
c
h
in
es Us
in
g
M
o
d
i
fied S
t
an
d
a
rd Tes
t
s
,
”
I
E
EE T
r
an
s.
I
n
d. E
l
ec
tr
on
,
vol. 64
, no
.
8,
p
p
.
60
75
-60
8
5
,
20
17
.
[19
]
M
.
Z
a
ba
leta,
E.
Levi
, and
M
.
Jo
n
e
s,
“M
odel
l
ing
app
r
o
ach
es
fo
r
an
as
ymm
e
tri
cal s
i
x
-
ph
ase
ma
ch
ine,”
IE
EE
Int.
Sym
p
.
Ind
.
Ele
c
tr
on.
,
vo
l.
20
1
6
-No
v
e
m
,
pp.
1
7
3
-1
78
,
2
0
16.
[
2
0]
F.
B
a
n
e
ir
a
,
J.
D
o
va
l
-
Ga
n
d
o
y
,
A.
G.
Y
e
pe
s,
Ó
.
Ĺ
o
p
ez
,
and
D
.
P
é
rez-Estév
e
z,
“Co
n
trol S
t
rategy
fo
r M
u
ltiph
a
s
e
Driv
e
s
wit
h
Minim
u
m L
o
sse
s i
n
t
h
e
Full
T
o
rqu
e
Op
e
r
a
t
io
n
Ra
nge
un
de
r Sin
g
le
Ope
n
-Ph
a
se
Fa
ul
t,”
I
E
EE Tr
ans
.
Po
w
e
r E
l
ec
t
r
o
n
,
v
o
l. 3
2
,
no
.
8
,
pp
. 6
275
-62
8
5
,
20
17
.
[
2
1]
W
.
N. W
.
A.
Mun
i
m
,
M.
J. Du
r
a
n
,
H.
S. C
h
e
,
M.
B
e
r
m
u
d
e
z
,
I. Go
nz
a
l
e
z
-
Pr
ie
to
,
a
n
d
N
.
A.
R
a
hi
m
,
“
A
Un
i
f
ie
d
Anal
ysis of t
h
e
Fault
Tolerance
Capabi
l
i
ty
in S
i
x-P
h
as
e Ind
u
ctio
n M
o
tor
Driv
e
s
,”
IEE
E
Trans
.
Power Electron
,
v
o
l
.
3
2
,
no.
1
0
, pp.
78
3
4
-7
83
6
,
201
7.
[22]
H. G
u
zm
an,
F
.
B
a
rrero,
and
M.
J
.
Duran,
“I
G
B
T
-
g
a
ti
ng
f
a
il
ur
e
ef
f
e
ct
on
a
f
a
u
l
t-
to
ler
a
n
t
pr
edi
c
ti
v
e
c
u
rre
nt
-c
on
t
r
olled
fiv
e
-pha
se
i
n
d
u
c
t
i
on m
o
t
o
r
d
r
iv
e
,
”
IE
E
E
Trans
.
Ind
.
E
l
ect
r
on
,
v
o
l. 62
, n
o
.
1
,
pp
.
15
-20,
20
15
.
[2
3]
R.
K Ab
du
l Ra
za
k
,
K.
S Mu
h
a
mm
a
d
, R. B
a
harom
,
a
n
d A. M I
M
a
m
a
t,
“
O
pe
n
-
Ci
rc
ui
t
Fa
ult
Det
e
cti
o
n
T
e
c
h
n
i
que
for Faul
t-
T
o
l
e
rant
Bridge
less Boost Rect
if
i
e
r,”
In
t. J.
En
g
.
T
ech
no
l
,
v
o
l.
7,
no
. 3
.
15,
p
p
.
1
68,
2
0
18.
[24
]
K.
S
.
M
u
h
a
mma
d, R.
Bah
a
rom
,
M
.
K.
M.
S
a
ll
eh
, an
d D
.
D.
C
.
Lu
, “O
pen-
cir
c
u
i
t fau
l
t
tol
e
ran
t
bridgel
e
ss
bo
os
t
rectifi
e
r
,
”
I
E
CON Proc
. In
du
st
rial
El
e
c
tro
n
.
Conf
,
p
p
.
22
01
-22
0
6
,
20
16.
[25
]
Hy
un
g-M
i
n Ryu,
J
i
-
W
oon
g K
i
m,
and
S
e
un
g
-
K
i
S
u
l,
“S
y
n
c
h
ro
no
us
fram
e
curr
ent co
ntro
l
o
f
mu
lti-ph
a
s
e
syn
c
hro
n
o
u
s
m
o
to
r
p
a
rt
II.
a
s
ymm
e
tric
fa
ult c
o
n
d
it
io
n d
u
e
t
o
o
p
en
ph
a
s
e
s
,”
pp.
268
-2
75
, 2
0
0
4
.
[26
]
M
.
To
usi
zad
eh
,
H
.
S
.
Ch
e,
J
.
S
e
lvar
aj,
N
.
A
.
R
a
h
i
m
,
and
B.-
T
.
O
o
i,
“F
aul
t
-Tol
erant
F
i
eld
Orie
n
t
ed
Co
ntro
l
of
Th
ree-P
h
as
e
Ind
u
c
tion
M
o
tor b
a
sed
on
Un
ifi
e
d
F
eed-fo
rward
M
e
t
h
o
d
,”
I
E
EE Trans
.
Power
E
l
ectro
n.
IEE
E
,
20
18.
[
2
7
]
M
.
T
o
u
s
i
z
a
d
e
h
,
H
.
S
.
C
h
e
,
J
.
S
e
l
v
a
r
a
j
,
N
.
A
.
R
a
h
i
m
,
an
d B
.
T.
Ooi, “P
erfor
m
an
ce Co
mp
aris
on
of F
a
ult-To
ler
a
n
t
Th
ree-P
h
as
e
Ind
u
c
tion
M
o
tor D
r
ives
Con
s
iderin
g
Current
and
Vo
ltag
e Limits
,
”
I
E
EE T
r
ans
. In
d.
Ele
ctro
n.
, v
o
l
.
66
, n
o
.
4
,
pp
.
26
39
–26
48
, 2
0
1
9
.
[2
8]
W
.
N.
W. A. Mu
ni
m
,
M
.
T
o
u
s
iz
a
d
e
h
, a
nd H. S
.
Ch
e,
“Effe
cts
of Zero-S
eq
uen
c
e Trans
f
orm
a
tio
n
s
an
d
M
i
n-M
a
x
Inject
ion
on Faul
t-T
o
le
ran
t
S
y
mmetr
ic
al S
i
x
-
P
h
ase Driv
es
w
ith Sin
g
l
e
Iso
l
at
ed
N
e
ut
ra
l,”
J. Po
wer
E
l
e
c
tro
n
,
vo
l.
19
, n
o
.
4
,
p
p
.
96
8-97
9
,
20
19
.
[2
9]
A. S
.
Ab
de
l
-
Kha
l
ik,
A. M. Ma
s
s
ou
d,
a
n
d S. Ah
m
e
d
,
“Effec
t
o
f
DC-Li
n
k
Vol
t
a
g
e
Lim
ita
ti
on
on
Po
stfa
u
l
t
Ste
a
dy-
S
t
ate P
e
rfor
m
an
ce of
Asy
mme
tri
c
a
l
S
i
x-P
h
a
s
e In
ductio
n
Ma
ch
in
e
s
,”
IEEE T
r
ans
. In
d.
El
ectr
o
n
.
,
v
o
l.
65
,
n
o
.
9,
pp.
68
90
–6
90
0, 2
0
1
8
.
[30
]
A. S
.
A
b
d
e
l-Kh
alik
,
R
.
A.
Ham
d
y,
A
.
M
.
M
a
ss
oud
,
an
d
S
.
Ah
med,
“P
o
s
tfault
co
ntro
l
of
s
c
a
l
ar
(V
/f)
co
n
t
ro
ll
ed
asy
mmetrical
s
i
x-p
h
as
e in
du
ction
mach
in
es
,”
I
EEE Acces
s
,
v
o
l
.
6
,
pp
.
5
9
2
1
1
-5
92
20,
20
18.
[3
1]
A.
S.
Ab
del
-
Kha
l
ik,
M. I. Ma
sou
d
,
S
.
Ahm
e
d, a
n
d
A.
M
a
ssou
d,
“
C
a
l
c
u
lat
i
o
n
of de
ra
tin
g
fac
t
ors
b
a
se
d
o
n
ste
a
d
y-
stat
e unbal
a
nced multiphase
i
n
ducti
on machine model under open
ph
ase(s)
and
opti
m
al
wind
i
n
g current
s,”
El
e
c
t
r
.
Power Syst
.
Res
, vo
l. 10
6, p
p
. 214-2
2
5
,
20
14.
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