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In
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
88
-
8708
In
t
J
E
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e
c
&
C
o
m
p
E
n
g
,
V
o
l.
8
, N
o
.
5
,
O
c
t
obe
r
20
18
:
270
9
-
2720
2712
w
h
er
e:
k
s
p
V
:
V
o
lta
g
e
o
f
f
a
u
lt p
o
in
t
f
r
o
m
s
e
n
d
in
g
s
id
e
k
pr
V
:
V
o
lta
g
e
o
f
f
a
u
l
t p
o
in
t f
r
o
m
r
e
c
e
i
vi
ng s
i
d
e
k
s
p
I
:
C
u
r
r
e
nt
of
f
a
u
l
t
poi
nt
f
r
o
m
s
e
n
di
ng
s
i
de
k
pr
I
:
C
u
r
r
e
n
t o
f
f
a
u
lt p
o
in
t f
r
o
m
r
e
c
e
iv
i
n
g
s
id
e
S
in
c
e
t
h
e
v
o
lta
g
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is
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q
u
a
l a
t th
e
p
o
in
t o
f
f
a
u
lt,
th
e
f
o
llo
w
i
n
g
e
q
u
a
tio
n
s
c
a
n
b
e
w
r
it
te
n
:
--
=
PR
S
P
VV
(9
)
00
=
PR
S
P
VV
(
10)
++
=
PR
S
P
VV
(
11)
T
he
o
nl
y
un
k
no
w
n
f
a
c
to
r
in
th
e
a
b
o
v
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e
q
u
a
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n
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h
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f
a
u
lt l
o
c
a
tio
n
p
e
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lin
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g
t
h
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it (
D
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t c
a
n
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obt
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t
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ugh s
o
l
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E
q
ua
t
i
o
ns
9
,
10 a
n
d 11
us
i
n
g N
e
w
t
o
n
-
R
a
phs
on
a
l
g
or
i
t
hm
.
W
he
n t
he
ne
t
w
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k i
s
i
n t
he
f
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m
o
f
s
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-
ph
as
e l
i
n
es
,
i
n
s
t
ead
o
f
E
q
ua
t
i
o
n
6
,
t
he
f
o
l
l
o
w
i
ng e
q
ua
t
i
o
n i
s
us
e
d
:
c
osh(
)
si
nh(
)
si
nh(
)
c
osh(
)
=
éù
éù
êú
éù
êú
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êú
êú
êú
êú
ëû
ëû
êú
ëû
ll
l
l
c
S
R
SR
c
z
V
V
II
z
gg
g
g
(
12)
I
n t
he
ne
xt
s
ub
-
s
e
c
tio
n
,
th
e
f
a
u
lt
t
y
p
e
d
e
te
c
tio
n
m
e
t
h
o
d
in
th
e
t
w
o
g
r
ou
ps
o
f
ph
a
s
e
-
to
-
p
ha
s
e
a
nd
p
ha
s
e
-
to
-
g
r
o
u
n
d
i
s
s
ep
ar
at
el
y
d
et
er
m
i
n
ed
an
d
t
h
e f
a
u
l
t
r
es
i
s
t
an
ce
w
i
l
l
b
e cal
cu
l
a
t
ed
.
2.
2.
F
a
u
l
t
T
y
pe
D
e
t
e
r
m
i
na
t
i
o
n
a
nd
F
au
l
t
R
e
s
i
s
t
an
c
e
C
al
c
u
l
at
i
on
T
o
d
e
te
r
m
in
in
g
th
e
t
y
p
e
o
f
f
a
u
lt,
u
s
in
g
tr
a
n
s
f
e
r
m
a
tr
ix
a
nd
a
c
c
o
r
d
i
ng t
o
t
h
e
e
qu
a
t
i
ons
13
a
n
d 14
t
he
p
h
as
e v
o
l
t
a
g
e an
d
c
u
r
r
en
t
at
t
h
e p
o
i
n
t
o
f
f
a
u
l
t
can
b
e es
t
i
m
at
ed
:
0
2
2
111
1
1
aa
aa
+
-
=
éù
éù
éù
êú
êú
êú
êú
êú
êú
êú
êú
êú
êú
êú
êú
ëû
êú
ëû
ëû
a
b
c
V
V
VV
V
V
(
13)
0
2
2
111
1
1
aa
aa
+
-
=
éù
éù
éù
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ëû
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ëû
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a
b
c
I
I
II
I
I
(
14)
2
.2
.1
.
P
h
a
s
e
to
P
h
a
s
e
F
a
ul
t
F
or
e
x
a
m
pl
e
,
t
h
e
ph
a
s
e
t
o
pha
s
e
f
a
u
l
t
f
or
A
a
n
d
B
ph
a
s
e
s
by
i
m
pe
da
n
c
e
f
a
u
l
t
Z
F
a
b
i
s
s
h
o
w
n
i
n
F
i
g
u
r
e 3
.
T
h
e f
au
l
t
cu
r
r
e
n
t
can
b
e o
b
t
ai
n
ed
as
f
o
l
l
o
w
s
:
=-
Fa
a
s
en
d
a
r
ecei
ve
II
I
(
15)
=-
Fb
b
s
en
d
b
r
ecei
ve
II
I
(
16)
=-
Fc
c
s
en
d
c
r
ecei
ve
II
I
(
17)
Evaluation Warning : The document was created with Spire.PDF for Python.
In
t
J
E
l
e
c
&
C
o
m
p
E
n
g
I
S
S
N
:
2088
-
8708
P
e
r
m
ane
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F
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t
L
oc
at
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n
D
i
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but
i
on Sy
s
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m
U
s
i
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h
as
or
M
e
as
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m
e
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t U
n
its
(
P
M
U
)
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(
A
l
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K
hal
e
ghi
)
2713
I
f
on
e
of
t
h
e
e
qu
a
t
i
ons
18,
19
a
n
d 20
h
o
ld
s
tr
u
e
,
th
e
r
e
is
p
h
a
s
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to
p
h
a
s
e
f
a
u
lt:
=-
Fa
Fb
II
(
18)
=-
Fa
Fc
II
(
19)
=-
Fb
Fc
II
(
20)
A
B
i
m
p
ed
a
n
ce p
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as
e
-
to
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p
ha
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e
f
a
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t
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c
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f
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h
e eq
u
at
i
o
n
2
1
.
-
=
Fa
Fb
Fa
b
Fa
V
V
Z
I
(
21)
V
f
a
V
f
b
Z
f
a
b
F
i
gu
r
e
3
.
P
h
as
e t
o
p
h
as
e f
a
u
l
t
m
o
d
el
2
.2
.2
.
P
h
a
s
e
to
G
r
o
und F
a
ul
t
I
f
E
q
ua
t
i
o
ns
18,
19
a
n
d 20
d
o
n
o
t
co
n
f
i
r
m
,
i
t
can
b
e co
n
cl
u
d
ed
t
h
at
a p
h
as
e t
o
g
r
o
u
n
d
f
au
l
t
h
as
b
een
o
ccu
r
r
ed
.
T
h
i
s
f
a
u
l
t
i
s
m
o
d
el
l
ed
as
s
h
o
w
n
i
n
F
i
g
u
r
e 4
.
T
h
e f
au
l
t
i
m
p
ed
an
ce
m
at
r
i
x
can
b
e
w
r
itte
n
lik
e
e
qu
a
t
i
on
22
:
+
=+
+
éù
é
ù
éù
êú
ê
ú
êú
êú
ê
ú
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êú
ê
ú
êú
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ê
ú
êú
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ë
û
ëû
ëû
Fa
Fg
Fg
Fg
Fa
Fa
Fb
Fg
Fb
Fg
Fg
Fb
Fc
Fc
Fg
Fg
Fc
Fg
ZZ
Z
Z
VI
V
Z
ZZ
Z
I
VI
Z
ZZ
Z
(
22)
A
s
a
r
e
s
ul
t
,
d
ue
t
o
t
he
f
a
c
t
t
ha
t
t
he
p
ha
s
e
vo
l
t
a
ge
a
nd
c
u
r
r
e
nt
o
f
t
he
f
a
ul
t
p
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nt
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r
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no
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n,
t
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m
p
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an
ce
m
at
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x
ca
n
b
e cal
c
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l
at
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an
d
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r
d
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g
t
o
t
h
e v
a
l
u
es
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b
t
ai
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ed
f
o
r
t
h
e
f
au
l
t
i
m
p
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ce o
f
eq
u
at
i
o
n
22
an
d
t
h
e f
au
l
t
cu
r
r
en
t
,
o
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e
can
d
et
er
m
i
n
e
w
h
i
c
h
t
y
p
e
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o
f
f
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(
S
i
n
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-
p
ha
s
e
t
o
gr
o
und
,
t
w
o
-
p
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t
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a
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t
hr
e
e
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p
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s
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t
o
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)
o
c
c
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d
i
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d
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r
i
b
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ys
t
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m
.
Z
f
c
Z
f
b
Z
f
a
Z
f
g
a
b
c
F
i
gu
r
e
4.
P
h
a
s
e
t
o g
r
ou
n
d f
a
u
l
t
m
ode
l
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SSN
:
20
88
-
8708
In
t
J
E
l
e
c
&
C
o
m
p
E
n
g
,
V
o
l.
8
, N
o
.
5
,
O
c
t
obe
r
20
18
:
270
9
-
2720
2714
3.
IM
P
LEM
EN
TA
TI
O
N
O
F
T
H
E P
R
O
P
O
S
ED
M
ETH
O
D
O
N
D
IS
T
R
IB
U
T
IO
N
SY
ST
E
M
S
T
h
e
pr
o
pos
e
d m
e
t
h
od f
or
f
a
ul
t
l
oc
a
t
i
on
i
s
ba
s
e
d on
a
s
s
um
pt
i
on
t
h
a
t
t
h
e
v
ol
t
a
g
e
a
n
d c
u
r
r
e
n
t
of
t
h
e
t
w
o
b
us
e
s
i
n
w
h
i
c
h t
he
f
a
ul
t
o
c
c
ur
r
e
d
i
n t
he
l
i
ne
b
e
t
w
e
e
n
t
he
m
a
r
e
kno
w
n
.
H
o
w
e
ve
r
,
o
nl
y t
he
vo
l
t
a
ge
a
n
d
c
u
r
r
e
n
t
o
f
a
l
i
m
i
t
e
d
num
be
r
of
bu
s
e
s
on
w
hi
c
h
P
MU
s
ar
e i
n
s
t
al
l
ed
ar
e av
ai
l
ab
l
e.
T
h
er
ef
o
r
e,
i
n
t
h
e r
es
t
o
f
t
h
e
ar
t
i
cl
e,
a
m
et
h
o
d
f
o
r
P
MU
s
p
l
ace
m
en
t
w
i
t
h
r
es
p
ect
t
o
t
h
e p
r
o
p
o
s
ed
al
g
o
r
i
t
h
m
i
s
p
r
es
en
t
ed
t
o
o
b
t
ai
n
t
h
e d
at
a
of
ot
h
e
r
bu
s
e
s
t
h
r
ough
us
i
ng
t
h
e
P
M
U
s
da
t
a
.
3
.1
.
P
M
U
A
l
l
oc
at
i
on
i
n
D
i
s
t
r
i
but
i
o
n
S
y
s
t
e
ms
3.
1.
1.
N
e
t
w
or
k
O
b
s
e
r
v
a
b
ilit
y
U
s
in
g
P
M
U
P
MU
i
n
s
t
al
l
ed
o
n
a s
p
eci
f
i
c b
u
s
ca
n
m
ea
s
u
r
e t
h
e v
o
l
t
a
g
e
m
ag
n
i
t
u
d
e a
n
d
p
h
as
e an
g
l
e o
f
b
u
s
as
w
e
l
l
as
t
h
e
m
ag
n
i
t
u
d
e an
d
p
h
as
e a
n
g
l
e o
f
b
r
an
ch
e
s
cu
r
r
en
t
s
at
t
a
ch
ed
t
o
t
h
at
b
u
s
.
A
s
a r
es
u
l
t
,
t
h
e
m
a
g
n
i
t
u
d
e an
d
p
ha
s
e
an
g
l
e o
f
v
o
l
t
a
g
e an
d
cu
r
r
en
t
o
f
b
u
s
e
s
co
n
n
ect
ed
t
o
t
h
e b
u
s
t
h
at
eq
u
i
p
p
ed
w
i
t
h
P
MU
can
al
s
o
b
e
es
t
i
m
at
ed
u
s
i
n
g
b
as
i
c r
u
l
es
(
K
V
L
,
K
C
L
)
o
f
el
ec
t
r
ic
it
y
.
C
o
n
s
id
e
r
,
f
o
r
e
x
a
m
p
le
,
F
i
g
ur
e
5
,
t
h
e
bus
e
s
i
n
w
hi
c
h
t
h
e P
M
U
i
s
i
n
s
t
al
l
ed
(
P
M
U
b
u
s
es
)
ar
e
d
i
r
ect
o
b
s
er
v
ab
l
e,
an
d
t
h
o
s
e b
u
s
e
s
t
h
at
ar
e co
n
n
ect
ed
t
o
t
h
e P
MU
b
u
s
es
ar
e i
n
d
i
r
ect
o
b
s
er
v
ab
l
e.
T
h
e o
t
h
er
s
ar
e n
o
t
o
b
s
er
v
ab
l
e [
2
2
-
23]
.
F
i
gu
r
e
5
.
N
e
t
w
or
k
obs
e
r
v
a
bi
l
i
t
y
us
i
ng
P
M
U
3
.1
.2
.
P
M
U
A
l
l
oc
at
i
on
A
l
gor
i
t
h
m
P
M
U
p
l
acem
e
n
t
s
h
ou
l
d pr
ov
i
de
t
h
e
f
ol
l
o
w
i
ng c
o
nd
i
t
i
o
ns
:
a.
A
cco
r
d
i
n
g
t
o
t
h
e p
l
ace
m
e
n
t
o
f
P
M
U
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4
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abc
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IV
42
abc
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Evaluation Warning : The document was created with Spire.PDF for Python.
In
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I
SSN
:
20
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8708
In
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