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2
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.
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Hig
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[
5
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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52
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
41
,
No
.
3
,
Ma
r
ch
20
26
:
8
7
3
-
884
874
n
etwo
r
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s
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[
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ly
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[
7
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A
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tech
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ase
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[
8
]
.
T
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s
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o
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ased
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9
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f
ten
h
ig
h
ly
iter
ativ
e,
n
ee
d
to
b
e
ca
r
ef
u
lly
p
ar
am
eter
ized
an
d
c
an
b
e
v
er
y
e
x
p
en
s
iv
e
to
c
o
m
p
u
te,
m
ak
in
g
t
h
em
in
co
n
v
e
n
ien
t
in
t
h
e
r
ea
l
-
tim
e
co
n
tr
o
l
o
f
n
etwo
r
k
s
with
f
ast
-
v
ar
y
in
g
PV
g
en
er
atio
n
[
1
0
]
.
An
o
th
er
alter
n
ativ
e
th
at
h
as
b
ee
n
d
ev
elo
p
ed
t
o
co
n
tr
o
l
v
o
ltag
e
u
n
b
ala
n
ce
d
u
r
in
g
u
n
ce
r
tain
t
y
an
d
n
o
n
lin
ea
r
ity
is
th
r
o
u
g
h
th
e
u
s
e
o
f
f
u
zz
y
lo
g
ic
[
1
1
]
.
Fu
zz
y
lo
g
ic,
in
co
n
tr
ast
to
o
p
tim
iz
atio
n
-
b
ased
tech
n
iq
u
es,
d
o
es
n
o
t
n
ee
d
a
clea
r
m
ath
em
atica
l
m
o
d
el
o
f
th
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
,
an
d
m
ay
u
s
e
th
e
ex
p
er
t
in
f
o
r
m
atio
n
i
n
th
e
f
o
r
m
o
f
lin
g
u
is
tic
r
u
les
[
1
2
]
.
T
h
e
p
ast
r
esear
ch
e
s
h
av
e
d
e
m
o
n
s
tr
ated
th
at
FLC
s
h
av
e
th
e
p
o
ten
tial
to
ac
h
ie
v
e
a
s
u
cc
ess
f
u
l
VUF
m
in
im
izatio
n
,
b
etter
v
o
ltag
e
p
r
o
f
iles
,
an
d
p
o
wer
q
u
ality
i
n
d
is
tr
ib
u
tio
n
s
y
s
tem
s
[
1
3
]
.
I
n
ad
d
itio
n
,
th
e
f
u
zz
y
in
f
er
en
ce
s
y
s
tem
s
p
r
o
v
id
e
h
ig
h
in
ter
p
r
et
-
ab
ilit
y
an
d
r
ap
id
r
esp
o
n
s
e
th
at
is
cr
itical
in
p
r
ac
tical
ap
p
licatio
n
in
lo
w
-
v
o
ltag
e
n
etwo
r
k
s
[
1
4
]
.
R
e
g
a
r
d
l
es
s
o
f
t
h
e
s
e
b
e
n
e
f
i
ts
,
t
h
e
m
a
j
o
r
i
t
y
o
f
c
u
r
r
e
n
t
f
u
z
z
y
l
o
g
i
c
-
b
a
s
e
d
s
o
l
u
ti
o
n
s
c
o
n
s
i
d
e
r
t
h
e
r
e
d
u
c
t
i
o
n
o
f
v
o
l
t
a
g
e
u
n
b
a
l
a
n
c
e
s
w
i
t
h
o
u
t
i
n
c
o
r
p
o
r
a
t
i
n
g
c
o
n
t
r
o
l
r
e
q
u
i
r
e
m
e
n
t
s
i
n
t
h
e
c
o
n
t
r
o
l
m
e
c
h
a
n
is
m
.
I
n
m
o
s
t
s
i
t
u
a
ti
o
n
s
,
t
h
e
a
d
h
e
r
e
n
c
e
t
o
t
h
e
q
u
a
l
it
y
o
f
p
o
w
e
r
s
ta
n
d
a
r
d
s
is
c
h
ec
k
e
d
a
f
t
e
r
c
o
n
t
r
o
l
m
e
as
u
r
es
h
a
v
e
b
e
e
n
i
m
p
l
e
m
e
n
t
e
d
[
1
5
]
.
C
o
n
v
e
r
s
e
l
y
,
t
h
e
r
e
g
u
l
a
t
i
o
n
s
o
f
v
o
l
t
a
g
e
q
u
a
l
i
t
y
l
i
k
e
G
OS
T
1
3
1
0
9
-
9
7
e
s
t
a
b
l
i
s
h
s
t
r
i
c
t
b
o
u
n
d
a
r
i
e
s
o
n
t
h
e
a
c
c
e
p
t
a
b
l
e
V
U
F
l
e
v
el
s
a
n
d
t
h
e
s
e
s
h
o
u
l
d
b
e
m
e
t
d
u
r
i
n
g
n
e
t
w
o
r
k
o
p
e
r
a
t
i
o
n
.
T
h
e
m
a
j
o
r
n
o
v
e
l
t
y
o
f
t
h
e
g
i
v
e
n
w
o
r
k
i
s
t
h
e
s
t
r
a
i
g
h
t
f
o
r
w
a
r
d
i
n
c
l
u
s
i
o
n
o
f
t
h
e
G
OS
T
1
3
1
0
9
-
9
7
v
o
l
t
a
g
e
s
y
m
m
e
t
r
y
r
e
q
u
i
r
e
m
e
n
t
s
i
n
a
f
u
zz
y
l
o
g
i
c
p
h
a
s
e
l
o
a
d
b
a
l
a
n
c
i
n
g
c
o
n
t
r
o
l
le
r
.
T
h
e
s
u
g
g
e
s
t
e
d
a
l
g
o
r
i
t
h
m
t
a
k
es
VU
F
a
n
d
p
h
a
s
e
c
u
r
r
e
n
t
m
e
as
u
r
e
m
e
n
ts
as
t
h
e
i
n
p
u
t
v
a
r
i
a
b
l
es
a
n
d
e
x
e
c
u
t
e
s
t
h
e
r
e
d
i
s
t
r
i
b
u
ti
o
n
o
f
p
h
a
s
e
c
u
r
r
e
n
t
u
s
i
n
g
a
M
a
m
d
a
n
i
f
u
z
z
y
i
n
f
e
r
e
n
c
e
s
y
s
t
e
m
a
n
d
m
a
k
e
s
s
u
r
e
t
h
a
t
t
h
e
s
t
a
n
d
a
r
d
is
b
e
i
n
g
a
d
h
e
r
e
d
t
o
.
T
h
i
s
m
e
t
h
o
d
d
o
e
s
n
o
t
r
e
q
u
i
r
e
c
o
m
p
u
t
a
t
i
o
n
a
l
l
y
i
n
te
n
s
i
v
e
o
p
t
i
m
i
z
a
t
i
o
n
p
r
o
c
e
s
s
es
a
n
d
a
l
l
o
w
s
r
ea
l
ti
m
e
o
p
e
r
a
t
i
o
n
w
i
t
h
l
o
w
c
o
m
p
u
t
at
i
o
n
a
l
o
v
e
r
h
ea
d
.
Acc
o
r
d
in
g
t
o
th
e
r
esear
c
h
g
ap
id
en
tifie
d
,
th
e
r
esear
ch
q
u
esti
o
n
o
f
th
e
wo
r
k
is
wh
eth
er
a
f
u
zz
y
lo
g
ic
-
b
ased
co
n
tr
o
ller
is
ef
f
ec
tiv
e
i
n
m
in
im
izin
g
th
e
VUF
in
lo
w
-
v
o
ltag
e
n
etwo
r
k
s
with
a
h
ig
h
PV
co
n
ce
n
tr
atio
n
,
wh
eth
er
th
e
ex
p
licit
c
o
n
s
id
er
atio
n
o
f
GOST
1
3
1
0
9
-
9
7
co
n
s
tr
ain
ts
ca
n
en
h
a
n
ce
p
e
r
f
o
r
m
an
ce
co
m
p
lian
ce
in
d
y
n
am
ic
wo
r
k
in
g
co
n
d
itio
n
s
,
an
d
wh
eth
e
r
th
e
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
p
r
o
v
id
es
a
f
ea
s
ib
le
tr
a
d
e
-
o
f
f
b
etwe
en
th
e
p
er
f
o
r
m
an
ce
a
n
d
c
o
m
p
u
tatio
n
al
ef
f
icien
cy
asp
ec
ts
an
d
th
e
s
im
p
licity
o
f
im
p
lem
en
tatio
n
in
co
m
p
ar
is
o
n
with
o
p
tim
izatio
n
-
b
ased
tech
n
i
q
u
e
s
.
T
o
a
n
s
wer
th
ese
q
u
esti
o
n
s
,
a
FLC
is
d
ev
elo
p
e
d
a
n
d
v
alid
ate
d
u
s
in
g
s
im
u
latio
n
m
o
d
els
im
p
lem
e
n
ted
in
MA
T
L
AB
/Si
m
u
lin
k
.
T
h
e
o
b
tain
ed
r
esu
lts
d
em
o
n
s
tr
at
e
th
at
th
e
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
ef
f
ec
tiv
ely
r
e
d
u
ce
s
VUF
an
d
p
o
wer
lo
s
s
es
w
h
ile
m
ain
tain
in
g
tr
an
s
p
ar
e
n
c
y
,
r
o
b
u
s
tn
ess
,
an
d
s
u
itab
ilit
y
f
o
r
p
r
ac
tical
d
e
p
lo
y
m
en
t in
s
m
ar
t d
is
tr
ib
u
tio
n
n
et
wo
r
k
s
.
2.
M
AT
H
E
M
AT
I
CA
L
M
O
D
E
L
S
I
n
th
is
s
tu
d
y
,
th
e
m
eth
o
d
o
f
b
alan
cin
g
a
th
r
ee
-
p
h
ase
E
S
w
as
im
p
r
o
v
e
d
,
ass
u
m
in
g
th
at
th
e
cu
r
r
en
ts
ar
e
s
y
m
m
etr
ically
d
is
tr
ib
u
ted
am
o
n
g
t
h
e
p
h
ases
wh
en
t
h
e
s
u
p
p
ly
p
h
ase
o
f
a
ce
r
tain
n
u
m
b
er
o
f
co
n
s
u
m
e
r
s
is
co
n
v
er
ted
in
to
a
r
atio
n
al
p
h
as
e.
L
o
a
d
b
alan
cin
g
ca
n
b
e
ac
h
iev
ed
in
m
an
y
wa
y
s
,
b
u
t
th
is
s
ec
tio
n
r
ef
in
es
t
h
e
m
eth
o
d
o
f
cu
r
r
en
t
b
alan
cin
g
u
s
in
g
f
u
zz
y
l
o
g
ic
th
eo
r
y
.
T
h
e
p
h
ase
cu
r
r
e
n
ts
o
f
th
e
th
r
ee
-
p
h
ase
d
is
tr
ib
u
tio
n
n
etwo
r
k
ar
e
d
e
n
o
ted
as
,
,
an
d
.
T
h
e
v
o
ltag
e
u
n
b
alan
ce
f
a
cto
r
is
d
en
o
ted
as
VUF
.
T
h
e
f
u
zz
y
lo
g
ic
–
b
ased
co
r
r
ec
tiv
e
p
h
ase
c
u
r
r
e
n
t
is
r
ep
r
esen
ted
b
y
Δ
,
wh
ile
th
e
f
in
al
c
o
r
r
ec
ted
p
h
ase
c
u
r
r
en
t
a
f
ter
er
r
o
r
co
m
p
en
s
atio
n
is
d
e
n
o
ted
as
Δ
.
Fu
zz
y
lo
g
ic
–
b
ased
co
n
tr
o
l
ap
p
r
o
ac
h
p
r
o
v
id
es
s
ev
er
al
i
m
p
o
r
tan
t
b
en
ef
its
th
at
s
tr
en
g
th
en
its
ap
p
licab
ilit
y
in
lo
w
-
v
o
ltag
e
n
etwo
r
k
s
with
d
is
tr
ib
u
ted
PV
s
y
s
tem
s
.
I
t
d
o
es
n
o
t
r
e
q
u
ir
e
a
p
r
ec
is
e
m
ath
em
atica
l
m
o
d
el
o
f
th
e
elec
tr
ical
n
et
wo
r
k
an
d
r
em
ain
s
u
n
d
e
r
c
o
n
d
itio
n
s
o
f
s
u
b
s
tan
tial
p
ar
am
eter
v
ar
iab
ilit
y
,
u
n
ce
r
tain
ty
,
an
d
in
ter
m
itten
t
s
o
lar
g
en
er
atio
n
.
T
h
e
a
p
p
r
o
a
ch
is
h
ig
h
ly
r
esis
tan
t
to
m
ea
s
u
r
em
en
t
n
o
is
e
an
d
in
co
m
p
lete
in
p
u
t
in
f
o
r
m
atio
n
,
an
d
p
r
o
v
id
es
co
n
tr
o
l
ac
tio
n
s
th
at
ar
e
s
m
o
o
th
an
d
co
n
t
in
u
o
u
s
wh
ich
will
allev
iate
r
ap
id
s
witch
in
g
an
d
im
p
r
o
v
e
th
e
o
v
er
all
p
o
wer
q
u
ality
.
Mo
r
eo
v
er
,
f
u
zz
y
co
n
tr
o
ller
s
ar
e
d
escr
ib
ed
as
h
av
in
g
tr
an
s
p
ar
e
n
cy
an
d
i
n
ter
p
r
etab
ilit
y
in
ar
c
h
itectu
r
e,
as
o
p
er
atio
n
is
clea
r
ly
s
tip
u
l
ated
ab
o
u
t
s
ets
o
f
lin
g
u
is
tic
r
u
les.
I
t
is
also
f
u
n
d
am
en
tally
f
lex
ib
le
a
n
d
s
c
alab
le
an
d
d
o
es
n
o
t
r
e
q
u
ir
e
a
r
ed
esig
n
o
f
th
e
en
tire
co
n
tr
o
l
s
y
s
tem
to
in
co
r
p
o
r
ate
n
ew
in
p
u
ts
,
alter
ed
r
u
le
b
ases
,
o
r
o
th
er
o
p
er
atin
g
co
n
s
tr
ain
ts
.
T
h
ese
ch
ar
ac
ter
is
tics
m
ak
e
f
u
zz
y
lo
g
ic
h
ig
h
ly
s
u
itab
le
f
o
r
r
ea
l
-
tim
e
o
p
er
atio
n
in
r
en
ewa
b
le
-
r
ic
h
d
is
tr
i
b
u
tio
n
g
r
id
s
[
1
5
]
-
[
1
7
]
.
T
h
e
elec
tr
ical
n
etwo
r
k
ca
n
b
e
im
p
r
o
v
ed
b
y
c
h
an
g
in
g
th
e
o
n
/o
f
f
p
o
s
itio
n
o
f
th
e
v
o
ltag
e
q
u
ality
ass
u
r
an
ce
d
ev
ice
in
Fig
u
r
e
1
t
o
m
ak
e
it a
s
y
m
m
etr
ical.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2
5
0
2
-
4
7
52
F
u
z
z
y
lo
g
ic
-
b
a
s
ed
lo
a
d
b
a
la
n
cin
g
fo
r
vo
lta
g
e
s
ymm
etry in
d
is
tr
ib
u
tio
n
n
etw
o
r
ks
(
A
d
ee
l S
a
leem
)
875
Fig
u
r
e
1
.
Gen
e
r
al
v
iew
o
f
a
s
witch
g
ea
r
in
a
lo
w
v
o
ltag
e
ele
ctr
ical
n
etwo
r
k
T
h
e
lo
ad
cu
r
r
en
ts
ca
n
b
e
t
r
an
s
f
er
r
ed
f
r
o
m
p
h
ase
to
p
h
ase,
th
at
is
,
f
r
o
m
a
p
h
ase
with
a
lar
g
e
lo
ad
t
o
a
p
h
ase
with
a
s
m
aller
lo
ad
.
Ho
wev
er
,
th
is
o
n
ly
h
elp
s
if
it
is
p
o
s
s
ib
le.
T
h
is
f
ac
ilit
ates
th
e
p
ai
n
s
tak
in
g
wo
r
k
th
at
is
cu
r
r
en
tly
p
er
f
o
r
m
e
d
m
an
u
al
ly
b
y
in
s
tallin
g
p
h
ase
s
h
if
t
d
ev
ices.
T
o
im
p
lem
e
n
t
th
e
d
ec
is
io
n
to
ch
an
g
e
cu
r
r
en
ts
in
th
e
d
is
tr
ib
u
tio
n
PS
,
alo
n
g
with
th
e
s
y
s
tem
,
cu
r
r
e
n
t
b
alan
cin
g
b
ased
o
n
f
u
zz
y
lo
g
ic
was
co
n
s
id
er
ed
.
T
h
e
b
lo
ck
d
iag
r
a
m
o
f
t
h
e
p
r
o
p
o
s
ed
cu
r
r
e
n
t b
alan
cin
g
alg
o
r
ith
m
is
s
h
o
wn
in
Fig
u
r
e
2.
T
h
e
alg
o
r
ith
m
wo
r
k
s
in
th
e
f
o
l
lo
win
g
o
r
d
er
:
−
T
h
e
co
ef
f
icien
ts
o
f
th
e
n
e
g
ativ
e
K
2U
an
d
ze
r
o
s
eq
u
en
ce
s
o
f
v
o
ltag
e
asy
m
m
et
r
y
0
an
d
d
at
a
o
n
p
h
ase
cu
r
r
en
ts
ar
e
f
o
r
m
e
d
o
n
th
e
b
as
is
o
f
d
aily
m
ea
s
u
r
em
e
n
t r
esu
lt
s
.
−
T
h
e
v
o
ltag
e
s
y
m
m
et
r
y
with
th
e
p
er
m
is
s
ib
le
an
d
lim
it in
ter
v
a
ls
is
ch
ec
k
ed
b
ased
o
n
th
e
co
n
d
itio
n
s
g
iv
en
in
GOST
1
3
1
0
9
-
9
7
.
I
f
th
is
co
n
d
itio
n
is
m
et,
th
e
elec
tr
ical
n
etwo
r
k
is
co
n
s
id
er
ed
s
y
m
m
etr
ical
an
d
th
e
ca
lcu
latio
n
s
ar
e
co
m
p
leted
.
Oth
er
wis
e,
it g
o
es to
lo
ad
b
alan
c
in
g
s
tag
e
u
s
in
g
f
u
zz
y
lo
g
ic
.
−
Acc
o
r
d
in
g
to
th
e
r
u
les
cr
ea
ted
o
n
th
e
b
asis
o
f
f
u
zz
y
lo
g
ic
f
r
o
m
th
e
in
p
u
t
an
d
o
u
tp
u
t
d
ata,
m
o
d
if
ied
f
u
z
zy
lo
g
ic
cu
r
r
en
ts
ar
e
o
b
tain
ed
at
th
e
o
u
tp
u
t.
T
h
e
n
eg
ativ
e
v
al
u
e
o
f
th
ese
cu
r
r
e
n
ts
m
ea
n
s
th
at
th
e
p
h
ase
in
co
n
s
id
er
atio
n
is
o
v
er
lo
ad
e
d
an
d
it
is
n
ec
ess
ar
y
to
d
is
tr
ib
u
te
th
ese
lo
ad
s
,
wh
ile
th
e
c
u
r
r
en
t
in
an
o
th
e
r
p
h
ase
with
a
p
o
s
itiv
e
s
ig
n
m
ea
n
s
th
a
t th
is
p
h
ase
is
less
lo
ad
ed
an
d
r
ec
eiv
es th
ese
cu
r
r
en
ts
.
−
T
h
e
s
u
m
o
f
p
o
s
itiv
e
an
d
n
eg
ativ
e
p
h
ase
lo
ad
s
m
u
s
t
b
e
eq
u
al
to
ze
r
o
.
Oth
er
wis
e,
th
e
av
er
ag
e
er
r
o
r
is
ca
lcu
lated
,
th
at
is
,
it is
g
iv
en
i
n
th
e
f
o
r
m
o
f
a
m
atr
ix
.
−
T
h
e
v
alu
e
o
f
th
e
av
er
a
g
e
er
r
o
r
cu
r
r
en
t
e
x
p
r
ess
ed
in
th
e
f
o
r
m
o
f
a
m
atr
ix
is
s
u
b
tr
ac
ted
f
r
o
m
th
e
v
alu
e
o
f
th
e
m
o
d
if
ied
f
u
zz
y
lo
g
ic
c
u
r
r
e
n
t a
t th
e
o
u
t
p
u
t,
an
d
th
e
f
i
n
al
v
alu
e
o
f
th
e
f
u
zz
y
lo
g
ic
cu
r
r
en
t
is
o
b
tain
ed
.
−
T
h
e
co
n
d
itio
n
th
at
th
e
m
u
tu
al
s
u
m
o
f
t
h
e
p
h
ase
cu
r
r
e
n
ts
o
f
th
e
f
in
al
f
u
zz
y
lo
g
ic
is
eq
u
al
to
ze
r
o
is
ch
ec
k
ed
.
I
f
th
is
co
n
d
itio
n
is
n
o
t m
et,
th
e
ca
lcu
latio
n
o
f
t
h
e
a
v
er
ag
e
er
r
o
r
will b
e
r
ep
ea
ted
.
−
T
h
e
r
esu
ltin
g
f
u
zz
y
lo
g
ic
en
s
u
r
es
th
at
th
e
v
alu
e
o
f
th
e
p
h
ase
lo
ad
s
in
th
e
n
etwo
r
k
m
ee
ts
th
e
r
eq
u
ir
em
e
n
ts
o
f
GOST
.
T
h
e
alg
o
r
ith
m
wo
r
k
s
as
f
o
llo
ws.
Af
ter
r
ec
eiv
in
g
d
aily
m
ea
s
u
r
em
en
ts
o
f
th
e
asy
m
m
etr
y
c
o
ef
f
icien
ts
an
d
p
h
ase
cu
r
r
en
ts
А
,
В
,
С
,
th
e
in
p
u
t
cu
r
r
en
t is d
eter
m
i
n
ed
as in
(
1
)
.
=
[
А
В
С
]
(
1
)
I
n
(
1
)
d
ef
in
es
th
e
in
itial
o
u
tp
u
t
cu
r
r
en
t
b
ased
o
n
th
e
m
ea
s
u
r
ed
p
h
ase
cu
r
r
e
n
ts
.
T
h
is
v
alu
e
r
ep
r
esen
ts
th
e
cu
r
r
en
t
im
b
alan
ce
le
v
el
u
s
ed
as
an
in
p
u
t
f
o
r
e
v
alu
atin
g
t
h
e
d
e
g
r
ee
o
f
p
h
ase
asy
m
m
et
r
y
in
th
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
.
Her
e,
is
o
u
tp
u
t
cu
r
r
en
t;
А
,
В
,
С
ar
e
p
h
ase
cu
r
r
en
ts
.
T
h
e
av
er
ag
e
cu
r
r
e
n
t
p
er
p
h
ase,
d
eter
m
in
ed
u
s
in
g
as
in
(
2
)
,
u
n
d
e
r
g
o
es
s
cr
u
tin
y
to
v
er
if
y
w
h
eth
er
th
e
asy
m
m
etr
y
co
ef
f
icien
t
f
alls
with
in
p
er
m
is
s
ib
le
b
o
u
n
d
s
.
T
h
is
c
h
ec
k
e
n
s
u
r
es
t
h
at
th
e
ca
lc
u
lated
asy
m
m
et
r
y
alig
n
s
with
p
r
e
d
ef
in
ed
ac
ce
p
t
ab
le
lim
its
,
th
er
eb
y
ev
alu
atin
g
th
e
elec
tr
ical
s
y
s
te
m
’
s
ad
h
er
en
ce
to
s
p
ec
if
ied
s
ta
n
d
ar
d
s
o
r
r
eq
u
ir
em
en
ts
as in
(
2
)
.
I
a
.
l
oad
=
I
A
+
I
В
+
I
С
3
(
2
)
In
(
2
)
ca
lcu
lates
th
e
a
v
er
ag
e
p
h
ase
cu
r
r
en
t,
wh
ic
h
s
er
v
es
as
a
r
ef
er
e
n
ce
v
alu
e
f
o
r
ass
ess
in
g
lo
ad
s
y
m
m
etr
y
am
o
n
g
th
e
t
h
r
ee
p
h
ases
.
T
h
is
p
ar
am
eter
is
u
s
ed
t
o
d
eter
m
i
n
e
wh
eth
e
r
th
e
m
ea
s
u
r
ed
VUF
e
x
ce
ed
s
th
e
p
er
m
is
s
ib
le
lim
its
d
ef
in
e
d
b
y
GOST
1
3
1
0
9
-
9
7
.
Her
e,
.
is
av
er
ag
e
cu
r
r
e
n
t;
А
,
В
,
С
ar
e
p
h
ase
cu
r
r
en
ts
.
I
f
t
h
e
asy
m
m
etr
y
co
e
f
f
icien
t is with
in
ac
ce
p
tab
le
lim
its
,
th
en
th
e
s
y
s
tem
is
asy
m
m
etr
ical.
Oth
er
wis
e,
we
will m
o
v
e
o
n
t
o
b
alan
cin
g
cu
r
r
en
ts
b
ased
o
n
f
u
zz
y
lo
g
ic.
Ho
wev
er
,
s
o
m
etim
es
t
h
e
f
u
zz
y
lo
g
ic
s
y
s
tem
m
ay
n
o
t
b
e
ab
l
e
to
h
an
d
le
th
e
ex
ac
t
a
m
o
u
n
t
o
f
ch
an
g
e
in
cu
r
r
e
n
ts
s
p
ec
if
ied
b
y
th
e
s
tep
.
T
h
is
is
b
ec
au
s
e
th
e
ac
t
u
al
cu
r
r
en
t
p
o
in
ts
f
o
r
an
y
p
h
ase
m
ay
n
o
t
r
esu
lt
in
a
r
atio
n
al
co
m
b
in
atio
n
co
r
r
esp
o
n
d
in
g
t
o
th
e
ex
ac
t
ch
an
g
e
v
alu
e
s
p
ec
if
ied
in
th
e
f
u
zz
y
lo
g
ic
s
tep
.
T
h
u
s
,
we
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
52
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
41
,
No
.
3
,
Ma
r
ch
20
26
:
8
7
3
-
884
876
m
ak
e
th
e
b
est
p
o
s
s
ib
le
ch
an
g
es
to
th
e
im
p
lem
en
tatio
n
s
y
s
tem
an
d
k
ee
p
ch
ec
k
in
g
t
h
e
b
al
an
ce
o
f
th
e
s
y
s
tem
u
n
til we
ac
h
iev
e
th
e
asy
m
m
etr
y
co
ef
f
icien
t w
ith
in
ac
ce
p
tab
l
e
lim
its
.
Fig
u
r
e
2
.
B
lo
ck
d
iag
r
am
o
f
th
e
p
r
o
p
o
s
ed
cu
r
r
en
t b
ala
n
cin
g
a
lg
o
r
ith
m
T
h
e
co
n
f
ig
u
r
atio
n
o
f
th
e
f
u
zz
y
lo
g
ic
tr
an
s
f
o
r
m
atio
n
o
f
th
e
o
u
tp
u
t c
u
r
r
e
n
t is d
eter
m
in
ed
as in
(
3
)
.
.
=
[
А
В
С
]
(
3
)
In
(
3
)
r
ep
r
esen
ts
th
e
f
u
zz
y
lo
g
ic
tr
an
s
f
o
r
m
atio
n
o
f
th
e
o
u
tp
u
t
cu
r
r
en
t.
T
h
is
v
alu
e
co
r
r
esp
o
n
d
s
to
th
e
co
r
r
ec
tiv
e
cu
r
r
e
n
t su
g
g
ested
b
y
th
e
f
u
zz
y
in
f
er
e
n
ce
s
y
s
tem
b
ef
o
r
e
ap
p
ly
i
n
g
an
y
p
h
y
s
ical
co
n
s
tr
ain
ts
r
elate
d
to
cu
r
r
en
t
co
n
s
er
v
atio
n
.
Her
e,
is
f
u
zz
y
lo
g
ic
tr
an
s
f
o
r
m
ati
o
n
o
f
t
h
e
o
u
t
p
u
t
cu
r
r
en
t.
Ho
wev
er
,
we
en
co
u
n
ter
an
er
r
o
r
with
th
is
cu
r
r
en
t
ch
an
g
e
co
n
f
ig
u
r
ati
o
n
.
B
ec
au
s
e
th
e
s
u
m
o
f
a
p
o
s
itiv
e
an
d
a
n
eg
ativ
e
v
alu
e
is
n
o
t
eq
u
al,
th
at
is
,
∑
∆
≠
0
.
T
h
is
is
im
p
o
s
s
ib
le,
b
ec
au
s
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wit
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y
m
m
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r
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ly
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etwe
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th
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h
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with
o
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cr
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r
d
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r
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in
g
th
e
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tal
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r
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en
t
e
q
u
ally
,
t
h
at
is
,
th
e
to
t
al
cu
r
r
en
t.
T
h
u
s
,
c
h
an
g
in
g
th
e
cu
r
r
en
t
co
n
f
i
g
u
r
atio
n
will
r
esu
l
t
in
a
d
ec
r
ea
s
e
in
th
e
to
tal
cu
r
r
e
n
t.
I
t is n
ec
ess
ar
y
to
co
r
r
ec
t th
e
er
r
o
r
; f
o
r
th
is
,
th
e
av
er
ag
e
e
r
r
o
r
is
d
eter
m
in
e
d
as in
(
4
)
:
=
(
∑
∆
3
)
(
4
)
In
(
4
)
d
ef
in
es
th
e
av
er
a
g
e
er
r
o
r
a
r
is
in
g
f
r
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m
t
h
e
im
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ce
b
etwe
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e
g
ativ
e
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u
zz
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lo
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u
tp
u
t
cu
r
r
en
ts
.
T
h
is
er
r
o
r
r
e
f
lects
th
e
m
is
m
atch
th
at
o
cc
u
r
s
b
ec
au
s
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p
h
ase
cu
r
r
en
t
r
ed
is
tr
ib
u
tio
n
m
u
s
t
co
n
s
er
v
e
th
e
t
o
tal
cu
r
r
e
n
t
in
t
h
e
s
y
s
tem
.
Her
e,
is
av
er
ag
e
er
r
o
r
,
∑
∆
is
s
u
m
o
f
a
p
o
s
itiv
e
an
d
a
n
eg
ativ
e
v
al
u
e
o
f
f
u
zz
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l
o
g
ic
cu
r
r
en
t.
I
n
s
u
m
m
ar
y
,
th
e
s
en
ten
ce
d
escr
ib
es
a
p
r
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ce
s
s
wh
er
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an
er
r
o
r
m
atr
ix
is
cr
ea
ted
I
u
s
in
g
th
e
a
v
er
ag
e
er
r
o
r
.
T
h
e
a
v
er
ag
e
er
r
o
r
is
th
en
e
v
en
ly
d
is
tr
ib
u
ted
o
v
er
th
r
ee
p
h
ases
,
an
d
t
h
e
ca
lcu
latio
n
in
v
o
lv
es
th
e
c
u
r
r
e
n
t
v
alu
e
o
f
th
e
lo
ad
as
in
(
5
)
.
T
h
e
s
p
ec
if
ic
d
etails
o
f
th
e
p
h
ases
an
d
lo
ad
ar
e
lik
ely
ex
p
lain
ed
in
m
o
r
e
d
e
p
th
elsewh
er
e
in
th
e
co
n
tex
t o
r
d
o
cu
m
en
t
as in
(
5
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2
5
0
2
-
4
7
52
F
u
z
z
y
lo
g
ic
-
b
a
s
ed
lo
a
d
b
a
la
n
cin
g
fo
r
vo
lta
g
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s
ymm
etry in
d
is
tr
ib
u
tio
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n
etw
o
r
ks
(
A
d
ee
l S
a
leem
)
877
∆
=
[
∑
∆
−
2
∙
]
(
5
)
In
(
5
)
d
eter
m
in
es
th
e
a
v
er
ag
e
er
r
o
r
c
u
r
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t
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ev
en
l
y
d
is
tr
ib
u
ted
am
o
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g
th
e
th
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e
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p
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th
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co
r
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cu
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d
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etwo
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lo
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Her
e,
∆
I
is
av
er
ag
e
er
r
o
r
cu
r
r
en
t;
∑
∆
f
is
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u
m
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f
a
p
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itiv
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d
a
n
eg
ativ
e
v
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f
f
u
zz
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lo
g
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cu
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en
t.
T
h
is
p
ar
t
o
f
th
e
s
en
ten
ce
d
escr
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e
s
a
s
u
b
tr
ac
tio
n
o
p
er
atio
n
.
T
h
e
s
y
m
b
o
l
∆
r
ep
r
esen
ts
th
e
er
r
o
r
i
n
s
o
m
e
v
ar
iab
le
(
p
r
o
b
ab
ly
c
u
r
r
en
t,
b
ased
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th
e
co
n
t
ex
t)
,
a
n
d
∆
f
r
ep
r
esen
ts
th
e
u
n
co
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r
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ted
o
u
tp
u
t
f
r
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a
f
u
z
zy
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ic
s
y
s
tem
.
So
,
y
o
u
ar
e
s
u
b
tr
ac
tin
g
th
e
er
r
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r
f
r
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th
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n
co
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ec
ted
f
u
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y
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tp
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t
∆
I
f
i
n
al
as in
(
6
)
.
∆
.
=
∆
−
∆
(
6
)
In
(
6
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ca
lcu
lates
th
e
f
in
al
f
u
zz
y
lo
g
ic
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b
ased
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r
ec
tiv
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r
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n
t
Δ
.
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n
p
r
ac
tical
ter
m
s
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ep
r
esen
ts
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tu
al
cu
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n
t
co
r
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tio
n
a
p
p
lied
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h
p
h
ase
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ter
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m
p
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atin
g
f
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co
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s
er
v
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n
er
r
o
r
s
,
en
s
u
r
in
g
p
h
y
s
ically
f
ea
s
ib
le
lo
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ed
i
s
tr
ib
u
tio
n
.
Her
e,
∆
I
f
i
n
al
.
is
f
u
zz
y
lo
g
ic
o
u
tp
u
t
cu
r
r
en
t;
∆
is
f
u
zz
y
lo
g
ic
c
u
r
r
e
n
t;
∆
is
av
er
ag
e
er
r
o
r
c
u
r
r
e
n
t.
T
h
e
f
in
al
v
alu
e
o
f
t
h
e
f
u
zz
y
lo
g
ical
cu
r
r
en
t
is
r
eq
u
ir
e
d
to
m
ee
t
c
o
n
d
itio
n
as
in
(
7
)
.
I
f
it
f
ails
to
co
m
p
ly
with
th
is
co
n
d
itio
n
,
a
p
r
o
ce
s
s
is
tr
ig
g
er
e
d
wh
er
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th
e
v
alu
es
u
n
d
er
g
o
r
e
-
d
eter
m
in
atio
n
.
T
h
is
en
s
u
r
es
t
h
at
th
e
s
p
ec
if
ie
d
co
n
d
itio
n
as
in
(
7
)
is
s
atis
f
ied
in
th
e
f
in
al
co
n
f
ig
u
r
atio
n
.
∑
∆
=
0
(
7
)
In
(
7
)
en
f
o
r
ce
s
th
e
cu
r
r
en
t
co
n
s
er
v
atio
n
co
n
s
tr
ain
t
b
y
en
s
u
r
in
g
th
at
th
e
s
u
m
o
f
th
e
f
in
al
co
r
r
ec
tiv
e
cu
r
r
en
ts
ac
r
o
s
s
all
p
h
ases
eq
u
als
ze
r
o
.
T
h
is
co
n
d
itio
n
g
u
ar
an
tees
th
at
lo
ad
b
alan
ci
n
g
is
ac
h
iev
ed
s
o
lely
th
r
o
u
g
h
p
h
ase
r
ed
is
tr
ib
u
tio
n
.
Her
e,
∑
∆
is
f
in
al
v
alu
e
o
f
th
e
f
u
z
zy
lo
g
ical
cu
r
r
en
t.
T
h
e
r
esu
ltin
g
o
u
tp
u
t
is
d
eter
m
in
ed
as in
(
8
)
.
.
=
+
∆
.
(
8
)
I
n
(
8
)
d
eter
m
in
es
th
e
r
esu
ltin
g
p
h
ase
cu
r
r
e
n
t
af
ter
ap
p
ly
in
g
th
e
f
in
al
c
o
r
r
ec
tiv
e
cu
r
r
en
t.
T
h
is
v
alu
e
r
ep
r
esen
ts
th
e
u
p
d
ated
p
h
as
e
c
u
r
r
en
t
c
o
n
f
ig
u
r
atio
n
u
s
ed
t
o
r
e
ass
es
s
th
e
VUF
.
Her
e,
.
is
r
esu
lt
cu
r
r
en
t;
is
o
u
tp
u
t
cu
r
r
e
n
t,
∆
.
is
cu
r
r
en
t
co
n
f
ig
u
r
atio
n
.
Ap
p
ly
in
g
(
1
)
a
n
d
(
8
)
in
(
2
)
th
e
v
alu
es
o
f
th
e
i
n
itial
ab
s
o
lu
te
av
er
ag
e
s
y
m
m
etr
y
a
n
d
t
h
e
r
e
s
u
ltin
g
ab
s
o
lu
te
av
e
r
ag
e
s
y
m
m
etr
y
ar
e
d
eter
m
in
e
d
.
T
h
is
m
ak
es
it
p
o
s
s
ib
le
t
o
r
ed
u
ce
v
o
ltag
e
asy
m
m
etr
y
ac
c
o
r
d
in
g
to
r
e
q
u
ir
em
en
ts
.
T
h
e
cu
r
r
e
n
t
p
o
in
ts
ar
e
th
en
d
e
ter
m
in
ed
to
b
e
allo
ca
ted
f
o
r
th
e
cu
r
r
en
t
r
ed
u
ctio
n
s
tep
s
.
R
ep
ea
t
f
o
r
all
th
r
ee
p
h
ases
to
ch
ec
k
f
o
r
n
e
g
a
tiv
e
(
d
im
in
u
tiv
e)
p
h
ases
.
Fo
r
ea
ch
o
f
th
e
o
u
tp
u
t
p
h
ases
,
th
e
av
er
ag
e
lo
ad
v
al
u
e
o
f
th
is
p
h
ase
is
f
ir
s
t c
alcu
lated
.
T
h
en
,
b
y
d
iv
id
in
g
th
e
cu
r
r
e
n
t c
h
an
g
e
v
alu
e
b
y
th
e
av
er
a
g
e
v
alu
e
an
d
r
o
u
n
d
i
n
g
th
e
r
esu
lt,
th
e
n
u
m
b
er
o
f
c
u
r
r
e
n
t p
o
in
ts
th
at
will b
e
ch
a
n
g
ed
f
r
o
m
th
is
p
h
ase
is
d
eter
m
in
ed
as in
(
9
)
.
=
(
∆
I
f
∑
p
has
e
/
=
1
)
,
∈
{
1
,
2
,
3
}
(
9
)
Her
e,
is
th
e
n
u
m
b
er
o
f
co
n
n
e
cted
co
n
s
u
m
er
s
,
∆
is
f
u
zz
y
lo
g
ic
cu
r
r
en
t.
Usi
n
g
th
e
g
iv
e
n
m
eth
o
d
,
a
s
p
ec
if
ic
lo
ad
p
o
in
t
is
d
eter
m
in
ed
,
wh
ic
h
m
u
s
t
m
o
v
e
f
r
o
m
p
h
ase
to
a
n
o
th
er
p
h
ase.
Her
e
s
h
o
ws
th
e
d
is
tr
ib
u
te
d
p
h
ases
.
Af
ter
th
is
,
s
p
ec
ial
c
u
r
r
e
n
t
p
o
in
ts
ar
e
tak
e
n
t
h
at
m
u
s
t
g
o
to
an
o
th
er
p
h
ase,
an
d
th
e
s
eq
u
en
ce
is
r
e
p
ea
ted
f
o
r
t
h
e
n
ex
t
d
is
tr
ib
u
tio
n
p
h
ase.
Al
g
o
r
ith
m
f
o
r
s
elec
tin
g
a
cu
r
r
en
t
p
o
in
t
b
ased
o
n
th
e
alg
o
r
ith
m
is
b
r
ief
ly
ex
p
lain
ed
b
elo
w.
T
h
e
task
is
to
f
in
d
a
s
e
t
o
f
cu
r
r
en
t
p
o
in
ts
o
f
3
2
cu
r
r
e
n
t
p
o
i
n
ts
(
f
o
r
p
h
ase
d
is
tr
ib
u
tio
n
)
,
t
h
e
s
u
m
o
f
th
e
s
et
is
eq
u
al
to
th
e
lo
ad
ch
an
g
e
v
alu
e
b
ased
o
n
f
u
zz
y
lo
g
ic
as in
(
1
0
)
an
d
(
1
1
)
.
pha
s
e
=
{
,
=
1
,
…
,
}
(
1
0
)
=
{
,
=
1
,
…
,
}
,
∈
pha
s
e
(
1
1
)
Her
e,
is
s
p
ec
if
ic
lo
ad
p
o
in
t,
is
f
o
r
p
h
ase
d
is
tr
ib
u
tio
n
.
T
h
e
d
if
f
er
en
ce
b
etwe
en
th
e
s
u
m
o
f
th
e
elem
en
ts
o
f
th
e
d
is
tr
ib
u
ted
s
et
o
f
lo
ad
p
o
in
ts
an
d
t
h
e
ch
an
g
e
v
alu
e
b
ased
o
n
f
u
zz
y
lo
g
ic
f
o
r
th
is
p
h
ase
s
h
o
u
ld
b
e
m
in
im
al,
id
ea
lly
0
.
T
h
u
s
,
th
e
o
p
tim
al
s
et
s
h
o
u
ld
b
e
f
o
u
n
d
b
y
p
e
r
f
o
r
m
in
g
th
e
f
o
llo
win
g
t
ask
as in
(
1
2
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
52
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
41
,
No
.
3
,
Ma
r
ch
20
26
:
8
7
3
-
884
878
|
−
|
(
1
2
)
T
h
is
s
tatem
en
t
in
d
icate
s
th
e
p
r
esen
tatio
n
o
f
th
e
cu
r
r
en
t
ch
a
n
g
e
v
alu
e
s
p
ec
if
ic
to
th
e
i
-
th
f
u
zz
y
lo
g
ic
p
h
ase
u
s
in
g
f
u
zz
y
lo
g
ic
m
eth
o
d
o
lo
g
y
.
T
h
e
d
is
p
lay
ed
i
n
f
o
r
m
atio
n
lik
ely
r
ep
r
esen
ts
th
e
v
ar
iatio
n
in
cu
r
r
en
t
with
in
a
p
h
ase,
r
ef
lectin
g
th
e
ap
p
licatio
n
o
f
f
u
zz
y
lo
g
ic
p
r
i
n
cip
les
to
ca
p
tu
r
e
n
u
a
n
ce
d
ch
an
g
es
in
th
e
cu
r
r
en
t
ass
o
ciate
d
with
th
e
-
th
p
h
ase
o
f
a
s
y
s
tem
o
r
p
r
o
ce
s
s
.
C
o
m
p
lian
ce
with
GOST
1
3
1
0
9
-
9
7
is
v
er
if
ied
b
y
ev
alu
atin
g
th
e
r
esu
ltin
g
VUF
af
ter
ea
ch
iter
atio
n
o
f
th
e
f
u
z
zy
lo
g
ic
–
b
ased
co
r
r
ec
tio
n
.
T
h
e
co
n
tr
o
l
p
r
o
ce
s
s
is
ter
m
in
ated
wh
en
t
h
e
ca
lcu
late
d
VUF
f
alls
with
in
th
e
p
er
m
is
s
ib
le
lim
its
s
p
ec
if
ied
b
y
th
e
s
tan
d
ar
d
.
3.
SI
M
UL
A
T
I
O
N
M
O
D
E
L
S
Fig
u
r
es
2
–
8
ar
e
p
r
esen
ted
u
s
in
g
c
o
n
s
is
ten
t
g
r
ap
h
ical
n
o
tatio
n
a
n
d
lab
elin
g
to
im
p
r
o
v
e
r
ea
d
ab
ilit
y
.
Stan
d
ar
d
ized
s
y
m
b
o
ls
ar
e
em
p
lo
y
ed
to
r
ep
r
esen
t
m
ea
s
u
r
em
en
t,
d
ec
is
io
n
-
m
a
k
in
g
,
a
n
d
co
n
tr
o
l
p
r
o
ce
s
s
es,
wh
ile
u
n
if
ied
te
r
m
in
o
lo
g
y
is
u
s
ed
ac
r
o
s
s
all
b
lo
c
k
d
iag
r
a
m
s
to
clea
r
ly
illu
s
tr
ate
th
e
f
u
zz
y
lo
g
ic
–
b
ased
p
h
ase
lo
ad
b
alan
ci
n
g
wo
r
k
f
lo
w.
T
o
b
u
ild
a
f
u
zz
y
co
n
tr
o
l
alg
o
r
ith
m
,
th
e
f
u
zz
y
l
o
g
ic
to
o
lb
o
x
s
o
f
twar
e
p
ac
k
a
g
e
was
u
s
ed
in
th
e
MA
T
L
AB
en
v
ir
o
n
m
en
t
[
1
8
]
.
I
n
th
e
co
n
s
id
er
ed
f
u
zz
y
in
ter
v
al
s
y
s
tem
th
er
e
ar
e
two
in
p
u
t
lin
g
u
is
tic
v
ar
iab
les
-
th
e
co
ef
f
icien
t
o
f
v
o
ltag
e
an
d
p
h
ase
cu
r
r
en
t
asy
m
m
etr
y
,
a
n
d
o
n
e
o
u
tp
u
t
lin
g
u
is
tic
v
ar
iab
le
-
th
e
co
n
f
i
g
u
r
atio
n
o
f
th
e
f
u
zz
y
l
o
g
ical
tr
an
s
f
o
r
m
ati
o
n
o
f
th
e
o
u
tp
u
t c
u
r
r
en
t
[
1
9
]
.
Fig
u
r
e
3
.
B
lo
ck
d
iag
r
am
o
f
f
u
zz
y
lo
ad
tr
a
n
s
f
o
r
m
atio
n
T
o
m
ak
e
lo
g
ical
d
ec
is
io
n
s
,
th
e
co
n
s
id
er
ed
f
u
zz
y
e
x
p
er
t
s
y
s
tem
is
s
h
o
wn
in
F
ig
u
r
e
4
.
Acc
o
r
d
in
g
to
th
e
ab
o
v
e
lin
g
u
is
tic
v
ar
iab
les
f
o
r
th
e
s
y
s
tem
p
r
o
p
o
s
ed
in
Fi
g
u
r
e
4
c
o
n
tain
s
1
3
6
f
u
zz
y
l
o
g
ical
r
u
les.
T
h
u
s
,
f
o
r
th
e
lin
g
u
is
tic
v
ar
iab
le
“v
o
ltag
e
asy
m
m
etr
y
co
ef
f
icien
t”
th
er
e
ar
e
f
iv
e
ter
m
s
(
Fig
u
r
e
5
.
)
:
l
ow
–
lo
w
v
o
ltag
e;
NA
–
n
o
r
m
al
allo
wed
v
o
ltag
e;
L
A
–
lo
w
allo
wed
v
o
ltag
e;
Hig
h
–
h
i
g
h
v
o
ltag
e
as g
iv
e
n
in
T
ab
le
1
.
Fig
u
r
e
4
.
L
i
n
g
u
is
tic
v
ar
iab
le
“
v
o
ltag
e
asy
m
m
etr
y
co
ef
f
icien
t”
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2
5
0
2
-
4
7
52
F
u
z
z
y
lo
g
ic
-
b
a
s
ed
lo
a
d
b
a
la
n
cin
g
fo
r
vo
lta
g
e
s
ymm
etry in
d
is
tr
ib
u
tio
n
n
etw
o
r
ks
(
A
d
ee
l S
a
leem
)
879
Fo
r
th
e
lin
g
u
is
tic
v
ar
iab
le
“p
h
ase
cu
r
r
en
t”
th
er
e
ar
e
eig
h
t
ter
m
s
(
Fig
u
r
e
6
)
:
FL
–
f
ew
lo
ad
e
d
;
MFL
-
m
o
d
er
ately
f
ew
l
o
ad
ed
;
E
L
L
–
ex
tr
e
m
ely
lo
w
lo
ad
;
L
L
–
lo
w
lo
ad
;
NL
–
n
o
r
m
al
lo
a
d
;
O
L
–
o
v
e
r
l
o
a
d
;
NOL
–
n
o
r
m
al
o
v
e
r
lo
ad
; E
OL
–
ex
t
r
em
ely
o
v
e
r
lo
ad
.
Fo
r
th
e
lin
g
u
is
tic
v
ar
iab
le
“c
o
n
f
ig
u
r
atio
n
o
f
t
h
e
f
u
zz
y
lo
g
ica
l
tr
an
s
f
o
r
m
atio
n
o
f
th
e
o
u
tp
u
t c
u
r
r
en
t”
–
eig
h
t
ter
m
s
(
Fig
u
r
e
7
)
:
HM
–
h
ig
h
m
o
b
ilit
y
;
M
-
m
o
b
ili
ty
;
AM
–
av
er
ag
e
m
o
b
ilit
y
;
L
M
–
lo
w
m
o
b
ilit
y
;
NA
–
n
o
r
m
al
a
d
d
itio
n
; M
A
–
m
id
d
le
ad
d
itio
n
; H
A
–
h
ig
h
ad
d
i
tio
n
; E
HA
–
ex
tr
em
el
y
h
ig
h
a
d
d
itio
n
.
Fig
u
r
e
5
.
L
i
n
g
u
is
tic
v
ar
iab
le
“
p
h
ase
cu
r
r
e
n
t”
Fig
u
r
e
6
.
Fu
zz
y
lo
g
ic
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
o
u
tp
u
t c
u
r
r
en
t c
o
n
v
er
s
io
n
Fig
u
r
e
7
.
Dec
is
io
n
m
a
k
in
g
p
r
o
ce
d
u
r
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
52
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
41
,
No
.
3
,
Ma
r
ch
20
26
:
8
7
3
-
884
880
T
ab
le
1
.
Nam
e
o
f
ab
b
r
ev
iated
wo
r
d
s
A
b
b
r
e
v
i
a
t
i
o
n
Ex
t
e
n
si
o
n
Lo
w
l
o
w
v
o
l
t
a
g
e
NA
n
o
r
m
a
l
a
l
l
o
w
e
d
v
o
l
t
a
g
e
LA
l
o
w
a
l
l
o
w
e
d
v
o
l
t
a
g
e
H
i
g
h
h
i
g
h
v
o
l
t
a
g
e
FL
f
e
w
l
o
a
d
e
d
M
F
L
mo
d
e
r
a
t
e
l
y
f
e
w
l
o
a
d
e
d
ELL
e
x
t
r
e
me
l
y
l
o
w
l
o
a
d
LL
l
o
w
l
o
a
d
NL
n
o
r
m
a
l
l
o
a
d
OL
o
v
e
r
l
o
a
d
NOL
n
o
r
m
a
l
o
v
e
r
l
o
a
d
EO
L
e
x
t
r
e
me
l
y
o
v
e
r
l
o
a
d
HM
h
i
g
h
m
o
b
i
l
i
t
y
M
mo
b
i
l
i
t
y
AM
a
v
e
r
a
g
e
m
o
b
i
l
i
t
y
LM
l
o
w
m
o
b
i
l
i
t
y
NA
n
o
r
m
a
l
a
d
d
i
t
i
o
n
MA
mi
d
d
l
e
a
d
d
i
t
i
o
n
HA
h
i
g
h
a
d
d
i
t
i
o
n
EH
A
e
x
t
r
e
me
l
y
h
i
g
h
a
d
d
i
t
i
o
n
I
n
th
is
p
r
o
ce
s
s
,
a
s
et
o
f
lo
g
ic
al
r
u
les
is
estab
lis
h
ed
u
s
in
g
t
h
e
I
F
-
th
e
n
s
tr
u
ctu
r
e.
T
h
ese
r
u
les
g
o
v
er
n
th
e
r
elatio
n
s
h
ip
b
etwe
en
in
p
u
t
an
d
o
u
tp
u
t
v
ar
iab
les
an
d
ar
e
d
o
cu
m
e
n
ted
as
in
T
ab
le
2
.
E
s
s
en
tially
,
th
e
r
u
les
p
r
o
v
id
e
a
f
r
am
ewo
r
k
f
o
r
d
ec
is
io
n
-
m
ak
in
g
,
s
p
ec
if
y
i
n
g
h
o
w
ch
an
g
es
in
in
p
u
t
co
n
d
itio
n
s
co
r
r
esp
o
n
d
to
c
h
an
g
es
in
o
u
tp
u
t v
ar
iab
les with
in
th
e
d
ef
in
ed
s
y
s
tem
.
VUF
is
ex
p
lain
ed
b
y
u
s
in
g
f
iv
e
lin
g
o
wo
r
d
s
to
ac
h
iev
e
a
tr
ad
e
-
o
f
f
b
etwe
en
th
e
ac
cu
r
ac
y
o
f
th
e
m
o
d
els
an
d
th
e
ea
s
e
o
f
co
m
p
u
tatio
n
.
T
h
e
c
h
o
s
en
q
u
an
tit
y
o
f
ter
m
s
en
a
b
les
th
e
c
o
n
tr
o
ller
to
k
n
o
w
th
e
d
if
f
er
en
ce
b
etwe
en
n
o
r
m
al
o
p
er
atin
g
co
n
d
itio
n
s
,
p
e
r
m
is
s
ib
le
d
ev
ia
tio
n
s
,
an
d
cr
itical
u
n
b
ala
n
ce
lev
els
estab
lis
h
ed
b
y
GOST
1
3
1
0
9
-
9
7
.
T
h
e
s
ize
o
f
t
h
e
v
o
ca
b
u
lar
y
s
h
o
u
ld
b
e
m
in
im
al
to
d
e
f
in
e
s
lo
w
v
ar
iatio
n
s
in
VUF,
wh
er
ea
s
em
p
lo
y
m
en
t
o
f
m
o
r
e
ter
m
s
wo
u
ld
r
aise
th
e
co
m
p
lex
ity
o
f
th
e
r
u
le
b
ase
with
o
u
t
an
y
im
p
r
o
v
em
e
n
t
in
p
er
f
o
r
m
a
n
ce
.
Ph
ase
cu
r
r
en
t
is
m
o
d
eled
b
y
eig
h
t
wo
r
d
s
o
f
lan
g
u
ag
e
t
o
d
escr
ib
e
a
b
r
o
a
d
er
s
p
ec
tr
u
m
o
f
v
ar
iatio
n
o
f
lo
ad
s
b
etwe
en
p
h
ases
.
C
o
n
tr
ar
y
to
VUF,
p
h
ase
cu
r
r
en
t
d
ir
ec
tly
in
d
icate
s
th
e
ex
ten
t
o
f
lo
a
d
in
g
an
d
m
u
s
t
b
e
f
in
e
r
to
d
is
tin
g
u
is
h
lig
h
tly
lo
a
d
ed
,
n
o
r
m
all
y
lo
ad
ed
an
d
o
v
er
lo
a
d
ed
p
h
ases
.
T
h
is
is
ac
h
iev
ed
b
y
u
s
in
g
eig
h
t
lin
g
u
is
tic
ter
m
s
th
at
allo
w
a
f
in
e
d
is
tin
ctio
n
o
f
t
h
e
lo
a
d
c
o
n
d
i
tio
n
s
th
at
en
h
an
ce
s
r
ed
is
tr
ib
u
tio
n
o
f
th
e
p
h
ase
cu
r
r
en
t,
esp
ec
ially
wh
en
t
h
er
e
ar
e
f
lu
ctu
atio
n
in
lo
ad
a
n
d
PV g
e
n
er
atio
n
.
T
im
e
-
d
o
m
ain
s
im
u
latio
n
s
wer
e
p
er
f
o
r
m
ed
in
o
r
d
er
to
g
iv
e
s
o
m
e
q
u
a
n
titativ
e
u
n
d
er
s
tan
d
i
n
g
o
f
t
h
e
s
y
s
tem
b
eh
av
io
r
to
d
eter
m
in
e
th
e
d
y
n
am
ic
p
e
r
f
o
r
m
an
ce
o
f
th
e
VUF
.
T
h
e
r
esu
lts
o
b
tain
ed
p
r
o
v
e
th
e
r
ap
id
v
alu
e
o
f
VUF
r
e
d
u
ctio
n
af
ter
th
e
FLC
ac
tiv
atio
n
,
wh
ich
co
n
f
ir
m
s
t
h
e
f
ast
co
n
d
itio
n
s
o
f
its
o
p
er
atio
n
an
d
PV
p
r
o
d
u
ctio
n
.
T
h
e
in
p
u
t
an
d
o
u
t
p
u
t
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
s
d
is
p
lay
ed
in
g
r
ap
h
ical
f
o
r
m
in
th
e
FLC
ar
e
p
r
esen
ted
in
Fig
u
r
es
f
r
o
m
4
to
7
.
Fig
u
r
e
4
s
h
o
ws
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
o
f
th
e
VUF
,
Fig
u
r
e
5
s
h
o
ws
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
o
f
p
h
a
s
e
cu
r
r
en
t
an
d
Fig
u
r
es
6
an
d
7
s
h
o
w
th
e
o
u
tp
u
t
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
o
f
t
h
e
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co
r
r
ec
tiv
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c
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r
r
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Su
ch
g
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ap
h
ical
d
ep
e
n
d
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e
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h
at
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eter
m
i
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o
w
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ical
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s
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r
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ts
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elate
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at
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lo
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ed
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th
e
f
u
zz
y
in
f
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en
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p
r
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s
s
.
T
ab
le
2
.
Fu
zz
y
lo
g
ic
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les f
o
r
in
p
u
t a
n
d
o
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t
p
u
t v
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les
K
2
U
K
0
U
ELL
LL
ELL
NL
NO
NOL
OL
EO
L
N
N
EH
A
HA
MA
NA
LM
AV
M
M
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HM
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LM
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A
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EH
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HA
MA
NA
LM
AV
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M
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EH
A
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MA
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LM
AV
M
M
LA
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HA
MA
NA
LM
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HM
M
HA
MA
NA
LM
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HM
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LA
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MA
NA
LM
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HM
NA
EH
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M
HM
LA
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NA
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LM
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HM
HM
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MA
NA
LM
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HM
HM
H
Н
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LM
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HM
NA
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HM
HM
LA
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MA
NA
LM
AV
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HM
HM
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NA
NA
LM
AV
M
HM
HM
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
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esian
J
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lec
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n
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&
C
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m
p
Sci
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N:
2
5
0
2
-
4
7
52
F
u
z
z
y
lo
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a
s
ed
lo
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d
b
a
la
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fo
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ymm
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d
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(
A
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)
881
4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
I
n
th
e
ca
s
e
o
f
VUF,
Ma
m
d
an
i
alg
o
r
ith
m
,
wh
ich
is
a
f
u
zz
y
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ic
tech
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e,
was
ch
o
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en
.
T
h
e
r
ea
s
o
n
b
eh
in
d
th
e
c
h
o
ice
o
f
t
h
e
Ma
m
d
an
i
f
u
zz
y
i
n
f
er
en
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m
eth
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d
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s
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it
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ig
h
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ter
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f
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t
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e
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m
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letely
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tili
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d
an
d
it
is
ea
s
y
to
v
is
u
aliz
e
th
e
im
p
ac
t
o
f
th
e
in
p
u
t
p
ar
am
eter
s
o
n
th
e
r
esu
lti
n
g
co
n
tr
o
l
ac
tio
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ich
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v
e
r
y
f
u
n
d
am
en
tal
wh
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a
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aly
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g
VUF
p
r
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ce
s
s
es
in
lo
w
-
vol
tag
e
n
etwo
r
k
s
with
d
is
tr
ib
u
ted
PV g
en
e
r
atio
n
.
I
n
ad
d
itio
n
,
Ma
m
d
an
i
is
m
o
r
e
ap
p
r
o
p
r
iate
in
s
y
s
tem
s
th
at
a
r
e
n
o
n
lin
ea
r
a
n
d
h
a
v
e
u
n
ce
r
ta
in
ty
in
its
o
p
er
atio
n
.
T
h
e
Su
g
en
o
a
p
p
r
o
ac
h
was
n
o
t
u
s
ed
s
in
ce
it
r
e
s
u
lts
in
a
cr
is
p
m
ath
em
atica
l
r
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lt
an
d
is
b
iased
to
war
d
s
th
e
u
s
e
o
f
an
ex
p
licit
an
aly
tical
co
n
tr
o
l
f
u
n
ctio
n
wh
ich
is
n
o
t
well
s
u
ited
in
h
ig
h
ly
v
ar
y
i
n
g
lo
ad
co
n
d
itio
n
s
a
n
d
u
n
s
tead
y
PV
g
en
er
atio
n
.
T
h
e
r
ef
o
r
e,
th
e
p
r
ef
er
en
ce
o
f
Ma
m
d
an
i
ca
n
b
e
ex
p
lain
e
d
b
y
t
h
e
f
lex
ib
ilit
y
,
clar
ity
an
d
q
u
alit
ativ
e
co
n
s
id
er
atio
n
o
f
co
n
tr
o
l
ac
tio
n
s
in
th
e
o
f
f
er
ed
m
et
h
o
d
o
lo
g
y
.
Fig
u
r
e
7
illu
s
tr
ates
th
e
r
esu
lt
s
o
f
th
is
c
h
o
ice,
wh
ich
p
r
o
b
ab
ly
r
ep
r
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en
ts
th
e
r
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r
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er
f
o
r
m
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ce
o
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th
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m
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o
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ith
m
in
t
h
e
s
ce
n
ar
io
o
f
p
r
esen
t b
alan
cin
g
[
2
0
]
,
[
2
1
]
.
T
h
e
co
m
p
lex
it
y
o
f
th
e
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o
m
p
u
t
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u
r
e
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p
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ased
ap
p
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o
ac
h
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s
o
n
th
e
q
u
a
n
tity
o
f
th
e
r
u
les
i
n
th
e
k
n
o
wled
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e
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ase,
th
e
q
u
a
n
t
ity
o
f
v
ar
iab
les
as
th
e
in
p
u
ts
,
an
d
th
e
f
o
r
m
o
f
t
h
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
[
2
2
]
.
As
it
is
s
h
o
wn
in
th
e
g
i
v
en
m
o
d
el,
th
e
FLC
u
tili
ze
s
a
l
im
ited
n
u
m
b
er
o
f
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
to
g
eth
er
with
two
in
p
u
t
v
a
r
iab
les
wh
ich
lead
s
to
a
s
m
all
r
u
le
b
ase.
T
h
is
m
ak
es
t
h
e
co
m
p
u
tatio
n
lo
ad
to
b
e
m
o
d
er
ate
an
d
ap
p
r
o
p
r
iate
to
r
u
n
in
r
ea
l
-
tim
e.
T
h
e
f
u
zz
if
icatio
n
,
r
u
le
ev
al
u
atio
n
an
d
d
ef
u
zz
if
icatio
n
a
r
e
lin
ea
r
l
y
p
r
o
p
o
r
tio
n
al
to
th
e
n
u
m
b
er
o
f
r
u
les
in
th
e
s
y
s
tem
an
d
s
o
th
e
e
n
ti
r
e
alg
o
r
ith
m
is
co
m
p
u
tatio
n
al
ly
ef
f
icien
t
an
d
ca
n
ea
s
ily
b
e
m
o
d
i
f
ied
t
o
m
o
r
e
co
m
p
lex
n
etwo
r
k
s
tr
u
ctu
r
es
s
h
o
u
ld
th
is
b
e
n
ec
ess
ar
y
.
I
n
c
o
n
tr
ast
to
an
o
p
tim
izatio
n
-
b
a
s
ed
ap
p
r
o
ac
h
,
e.
g
.
,
GA,
PS
O
o
r
n
eu
r
al
n
etwo
r
k
s
,
f
u
zz
y
l
o
g
ic
d
o
es
n
o
t
m
a
k
e
u
s
e
o
f
an
iter
ativ
e
p
r
o
ce
s
s
o
r
a
tr
ain
in
g
p
r
o
ce
s
s
,
wh
ich
m
in
im
izes
th
e
co
m
p
u
t
atio
n
al
b
u
r
d
en
.
Hen
ce
,
th
e
FLC
co
n
tr
o
ller
p
r
o
p
o
s
ed
h
as
l
o
w
co
m
p
u
tatio
n
al
co
m
p
lex
ity
an
d
ca
n
b
e
ef
f
ec
ti
v
ely
u
s
ed
in
em
b
ed
d
ed
s
y
s
tem
s
,
d
is
tr
ib
u
ted
PV
co
n
tr
o
ller
s
,
an
d
d
ec
en
tr
alize
d
co
n
tr
o
l a
r
c
h
itectu
r
e
o
f
th
e
lo
w
-
v
o
ltag
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
s
.
Ph
ase
s
y
m
m
etr
izatio
n
o
f
lo
w
-
v
o
ltag
e
n
etwo
r
k
s
wh
ich
ar
e
d
is
tr
ib
u
ted
PV
g
en
er
atio
n
s
y
s
tem
s
u
s
ed
th
e
2
-
FLC
c
o
n
tr
o
ller
.
T
h
e
FL
C
d
esig
n
in
v
o
lv
es
t
h
e
s
p
ec
if
i
ca
tio
n
o
f
in
p
u
t
an
d
o
u
tp
u
t
v
a
r
iab
les,
b
u
ild
i
n
g
o
f
f
u
zz
y
s
ets
an
d
I
F
-
T
HE
N
r
u
les,
ch
o
ice
o
f
a
d
ef
u
zz
if
icatio
n
m
eth
o
d
as
well
as
v
is
u
aliz
in
g
th
e
co
n
tr
o
l
s
u
r
f
ac
es.
T
o
p
u
t
it
i
n
to
p
r
ac
tice,
o
n
e
m
ay
ap
p
ly
m
icr
o
co
n
tr
o
ller
s
,
DS
P
p
r
o
ce
s
s
o
r
s
,
d
ig
ital
v
o
ltag
e
a
n
d
c
u
r
r
en
t
s
en
s
o
r
s
to
m
ea
s
u
r
e
th
e
v
alu
es
p
r
o
p
er
l
y
,
an
d
a
d
ap
tiv
e
DC
-
DC
co
n
v
er
ter
s
.
I
m
p
le
m
en
tatio
n
s
o
f
twar
e
im
p
lem
e
n
tatio
n
m
ay
b
e
d
o
n
e
i
n
MA
T
L
AB
/Si
m
u
lin
k
u
s
in
g
th
e
f
u
zz
y
lo
g
ic
to
o
lb
o
x
o
r
e
m
b
ed
d
ed
lib
r
a
r
ies.
As
s
h
o
wn
in
T
ab
le
3
,
th
e
p
r
o
p
o
s
ed
FLC
ap
p
r
o
ac
h
ac
h
iev
es
a
r
ea
s
o
n
ab
le
b
alan
ce
b
etwe
en
ac
cu
r
ac
y
,
r
esp
o
n
s
e
s
p
ee
d
,
an
d
p
r
ac
tic
al
im
p
lem
en
tab
ilit
y
co
m
p
ar
e
d
with
o
th
er
o
p
tim
izatio
n
-
b
ased
m
eth
o
d
s
.
T
h
e
p
r
o
p
o
s
ed
FLC
h
as
b
ee
n
test
e
d
u
s
in
g
a
co
m
p
ar
ativ
e
an
al
y
s
is
o
f
th
e
m
o
d
er
n
tech
n
i
q
u
es,
s
u
ch
as
th
e
g
e
n
etic
alg
o
r
ith
m
(
GA)
,
p
a
r
ticle
s
war
m
o
p
tim
izatio
n
(
PS
O)
,
an
d
h
eu
r
is
tic
tech
n
iq
u
es.
T
h
e
m
aj
o
r
cr
iter
ia
wer
e
th
e
r
ed
u
ctio
n
o
f
p
h
ase
u
n
b
alan
ce
(
VUF)
,
r
esp
o
n
s
e
tim
e,
co
m
p
u
tatio
n
al
c
o
m
p
lex
ity
,
a
n
d
in
ter
p
r
et
-
a
b
ilit
y
.
Alth
o
u
g
h
i
n
tellig
en
t
ad
ap
tiv
e
s
o
lu
tio
n
s
s
u
ch
as
f
u
zz
y
lo
g
ic
o
r
AI
-
s
o
lu
tio
n
s
ar
e
m
o
r
e
f
lex
i
b
le,
th
ey
a
r
e
m
o
r
e
co
s
tly
to
ca
lcu
late,
n
ee
d
in
itia
l
tr
ain
in
g
u
s
in
g
a
s
et
o
f
p
ast
v
alu
es,
an
d
ca
n
ca
u
s
e
d
ec
is
io
n
d
elay
s
.
T
h
er
ef
o
r
e,
FLC
is
m
o
r
e
p
r
ac
tical
s
in
ce
it
o
f
f
er
s
h
i
g
h
in
ter
p
r
et
-
ab
ilit
y
,
lo
w
co
m
p
u
tatio
n
al
lo
ad
an
d
f
a
s
t
r
esp
o
n
s
e
to
lo
w
-
v
o
ltag
e
n
etwo
r
k
s
with
PV g
en
er
atio
n
.
T
ab
le
3
.
C
o
m
p
a
r
is
o
n
o
f
p
h
ase
co
n
tr
o
l m
eth
o
d
s
in
L
V
n
etwo
r
k
s
with
PV
M
e
t
h
o
d
V
U
F
r
e
d
u
c
t
i
o
n
(
%)
Lo
ss
r
e
d
u
c
t
i
o
n
(
%)
R
e
s
p
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se
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i
m
e
C
o
m
p
u
t
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t
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o
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l
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t
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n
t
e
r
p
r
e
t
a
b
i
l
i
t
y
F
u
z
z
y
l
o
g
i
c
25
–
30
12
–
15
F
a
st
Lo
w
H
i
g
h
G
e
n
e
t
i
c
a
l
g
o
r
i
t
h
m
28
–
32
14
–
16
M
e
d
i
u
m
H
i
g
h
Lo
w
P
a
r
t
i
c
l
e
sw
a
r
m
o
p
t
i
mi
z
a
t
i
o
n
27
–
31
13
–
15
M
e
d
i
u
m
H
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g
h
Lo
w
H
e
u
r
i
s
t
i
c
me
t
h
o
d
15
–
20
8
–
10
F
a
st
Lo
w
M
e
d
i
u
m
A
co
m
p
ar
is
o
n
s
h
o
ws
th
at
th
e
p
r
o
p
o
s
ed
FLC
h
as
attain
ed
a
r
ea
s
o
n
ab
le
b
alan
ce
b
etwe
en
ac
cu
r
ac
y
,
s
p
ee
d
,
an
d
p
r
ac
tical
im
p
lem
en
tab
ilit
y
wh
er
ea
s
m
o
r
e
co
m
p
licated
o
p
tim
izatio
n
-
b
ased
ap
p
r
o
ac
h
es
n
ee
d
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
as
well
as
m
o
r
e
co
m
p
licated
r
ea
lizatio
n
s
.
I
n
th
is
r
esear
ch
,
t
h
e
s
en
s
itiv
ity
an
aly
s
is
o
f
th
e
d
ev
elo
p
ed
FLC
o
n
th
e
m
o
s
t
im
p
o
r
tan
t
p
a
r
am
eter
s
,
s
u
c
h
as
th
e
ty
p
e
a
n
d
f
o
r
m
o
f
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
s
,
th
e
n
u
m
b
er
o
f
lin
g
u
is
tic
ter
m
s
,
th
e
ar
r
an
g
em
en
t
an
d
weig
h
tin
g
o
f
th
e
r
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les,
an
d
th
e
d
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u
zz
if
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n
m
eth
o
d
was
ca
r
r
ied
o
u
t.
I
n
o
r
d
e
r
to
m
ea
s
u
r
e
th
e
im
p
ac
t
o
f
th
ese
p
ar
am
eter
s
o
n
p
h
ase
s
y
m
m
etr
y
p
er
f
o
r
m
an
ce
,
s
ce
n
ar
io
s
im
u
latio
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wer
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n
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er
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1
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a
m
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in
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h
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at
ex
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th
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m
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s
t
im
p
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in
f
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wh
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alter
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if
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tech
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ce
s
ev
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d
ev
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in
t
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u
tp
u
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
5
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52
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
41
,
No
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3
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Ma
r
ch
20
26
:
8
7
3
-
884
882
T
h
is
d
is
cu
s
s
io
n
p
r
o
v
id
es
ev
id
en
ce
o
f
th
e
s
tr
en
g
th
o
f
th
e
p
r
o
p
o
s
ed
FLC
an
d
g
u
id
an
ce
o
f
th
e
n
ex
t
o
p
tim
izatio
n
an
d
ad
ju
s
tm
en
t
o
f
th
e
n
etwo
r
k
co
n
d
itio
n
s
.
Fig
u
r
e
8
is
th
r
ee
-
d
im
en
s
io
n
al
g
r
ap
h
,
wh
ic
h
s
h
o
ws
ch
an
g
es
in
th
e
v
o
ltag
e
asy
m
m
etr
y
co
ef
f
icien
t
an
d
p
h
ase
lo
ad
.
T
h
is
p
r
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tatio
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is
u
s
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as
an
ex
am
p
le
o
f
a
f
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o
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ith
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tio
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p
ar
am
eter
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is
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ally
a
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t
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as
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ase
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(
A)
o
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s
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ig
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r
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u
tp
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t c
u
r
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,
ch
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e
[
2
3
]
-
[
2
5
]
.
Fig
u
r
e
8
.
T
e
m
p
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CO
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r
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7
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r
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s
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e
s
im
u
latio
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f
in
d
in
g
s
in
MA
T
L
AB
Simu
lin
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ay
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%
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n
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e
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m
etr
ic
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ad
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g
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o
n
d
itio
n
s
.
T
h
is
is
h
elp
in
g
to
ca
u
s
e
im
p
r
o
v
em
en
t
in
v
o
ltag
e
r
eg
u
latio
n
,
less
th
er
m
al
s
tr
ess
o
n
th
e
elec
tr
ic
eq
u
ip
m
en
t
an
d
m
o
r
e
s
tab
ilit
y
o
f
th
e
d
is
tr
ib
u
tio
n
n
etwo
r
k
s
in
o
p
er
atio
n
.
T
h
e
p
r
o
p
o
s
ed
s
o
lu
tio
n
is
al
s
o
q
u
ite
s
u
itab
le
to
p
r
ac
tice
in
th
e
s
m
ar
t
g
r
id
s
ettin
g
b
ec
a
u
s
e
o
f
its
r
u
le
b
ased
d
esig
n
a
n
d
lo
w
ca
lcu
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n
n
ee
d
s
,
s
u
ch
as d
ec
en
tr
alize
d
co
n
tr
o
ll
er
s
,
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icr
o
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n
tr
o
ller
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ased
s
y
s
tem
s
,
an
d
d
is
tr
ib
u
ted
PV in
v
er
ter
s
.
I
n
p
r
ac
tical
ter
m
s
,
th
e
f
u
zz
y
lo
g
ic
-
b
ased
co
n
tr
o
ller
m
a
y
b
e
im
p
lem
en
ted
in
to
th
e
in
tellig
en
t
d
is
tr
ib
u
tio
n
au
to
m
atio
n
s
y
s
tem
s
to
f
ac
ilit
ate
r
ea
l tim
e
p
h
ase
lo
ad
b
alan
cin
g
in
n
etwo
r
k
s
w
ith
lar
g
e
p
en
etr
ati
o
n
o
f
r
en
ewa
b
le
en
er
g
y
s
o
u
r
ce
s
.
I
t
ca
n
b
e
ad
ju
s
ted
to
v
ar
y
in
g
lo
ad
p
atter
n
s
an
d
in
ter
m
itten
t
PV
g
en
er
atio
n
,
wh
ich
is
wh
y
it is
a
p
o
ten
tial so
lu
tio
n
to
t
h
e
f
u
tu
r
e
s
m
ar
t g
r
i
d
s
an
d
a
ctiv
e
d
is
tr
ib
u
tio
n
n
etw
o
r
k
s
.
I
n
s
p
ite
o
f
th
ese
s
tr
en
g
th
s
,
th
e
cu
r
r
e
n
t
s
tu
d
y
h
as
s
o
m
e
s
h
o
r
t
co
m
in
g
s
.
T
h
e
p
r
o
p
o
s
ed
m
eth
o
d
h
as
o
n
ly
b
ee
n
v
alid
ated
t
h
r
o
u
g
h
s
im
u
latio
n
an
aly
s
is
an
d
e
x
p
er
im
e
n
tal
v
alid
atio
n
b
y
h
ar
d
war
e
-
in
-
th
e
-
lo
o
p
o
r
f
iel
d
-
d
ep
lo
y
e
d
e
q
u
ip
m
e
n
t
is
y
e
t
to
b
e
co
n
d
u
cte
d
.
Als
o
,
th
e
p
r
ese
n
t
m
o
d
el
p
r
esu
p
p
o
s
es
th
e
p
r
ec
is
e
m
ea
s
u
r
em
en
ts
o
f
p
h
ase
cu
r
r
en
ts
an
d
VUF
,
with
o
u
t
s
p
ec
if
ically
tak
in
g
in
to
ac
co
u
n
t
c
o
m
m
u
n
icatio
n
d
elay
s
o
r
s
en
s
o
r
er
r
o
r
s
th
a
t
ca
n
b
e
en
c
o
u
n
ter
e
d
in
p
r
ac
tice
.
Fu
tu
r
e
s
tu
d
ies
will
b
e
o
n
th
e
e
x
t
en
s
io
n
o
f
th
e
p
r
o
p
o
s
ed
f
r
am
ewo
r
k
b
y
in
c
o
r
p
o
r
atio
n
o
f
h
y
b
r
id
f
u
zz
y
-
ar
tific
ial
in
tellig
en
ce
alg
o
r
ith
m
s
lik
e
n
eu
r
o
-
f
u
zz
y
an
d
a
d
a
p
tiv
e
f
u
zz
y
co
n
tr
o
ller
s
in
o
r
d
er
to
in
cr
ea
s
e
th
e
lear
n
in
g
ab
ilit
y
an
d
f
lex
ib
ilit
y
.
T
h
e
in
teg
r
atio
n
o
f
r
ea
l
tim
e
co
m
m
u
n
icatio
n
in
f
r
a
s
tr
u
c
tu
r
es
an
d
d
is
tr
ib
u
ted
co
n
tr
o
l
ar
ch
itectu
r
es
an
d
ex
p
er
im
en
tal
v
alid
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n
u
s
in
g
h
a
r
d
war
e
im
p
lem
en
tatio
n
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d
f
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eld
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p
er
im
en
ts
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o
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er
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n
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