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Appl
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Vo
l.
3
,
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.
3
,
Dec
em
b
er
201
4
,
p
p
.
1
7
5
~
1
8
9
I
SS
N:
2252
-
8792
175
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A.
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n
d
a
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d
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a
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a
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it
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ield
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n
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g
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(HV
)
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sf
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:
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f
ield
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2
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In
stit
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te o
f
A
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v
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l
rig
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C
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s
p
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A
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:
E
s
s
a
m
M
.
Sh
aa
la
n
,
E
lectr
ical
E
n
g
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n
ee
r
i
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Dep
ar
t
m
en
t,
Facu
l
t
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o
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E
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in
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r
i
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g
at
Sh
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b
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a,
B
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a
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air
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t
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m
ail:
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a
m
.
s
h
ih
a
ta
@
f
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n
g
.
b
u
.
ed
u
.
eg
1.
I
NT
RO
D
UCT
I
O
N
Fo
r
m
u
ch
o
f
th
e
h
is
to
r
y
o
f
th
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elec
tr
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p
o
w
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th
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s
ize
o
f
a
h
ig
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v
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ltag
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tr
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s
m
is
s
io
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y
s
tem
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as
n
o
t
o
f
m
u
ch
co
n
ce
r
n
b
ec
au
s
e
th
ey
w
er
e
lo
ca
ted
in
r
u
r
al
o
r
h
ea
v
ily
in
d
u
s
tr
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ar
ea
s
w
h
er
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th
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s
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o
f
th
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l
estate
w
as
s
m
all
an
d
th
eir
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v
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b
ea
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in
g
p
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esen
ce
w
as
o
f
litt
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co
n
ce
r
n
to
th
e
g
en
er
al
p
u
b
lic.
T
h
eir
ex
p
o
s
u
r
e
m
ay
b
e
as sm
all
as
w
alk
in
g
u
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d
er
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lar
g
e
as c
o
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s
tr
u
ctin
g
a
h
o
m
e
o
r
b
u
s
in
ess
u
n
d
er
it.
T
h
e
ev
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-
in
cr
ea
s
in
g
n
ee
d
f
o
r
elec
tr
ical
en
er
g
y
h
as
r
esu
lted
in
h
ig
h
v
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ltag
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s
u
b
s
tatio
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s
b
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p
lace
d
m
u
ch
clo
s
er
to
th
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lo
ad
s
an
d
in
co
m
m
er
cial
o
r
r
esid
en
tial
ar
ea
s
.
T
o
ex
em
p
lif
y
th
is
,
co
n
s
id
er
th
at
a
h
ig
h
v
o
ltag
e
s
u
b
s
tatio
n
d
o
es
n
o
t
h
av
e
a
n
eg
ativ
e
im
p
ac
t
w
h
en
it
is
co
n
s
tr
u
cted
ad
j
ac
en
t
to
a
r
ef
in
er
y
o
r
p
ap
er
m
ill.
I
n
ad
d
itio
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to
v
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al
im
p
ac
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th
er
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is
o
n
g
o
in
g
co
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ce
r
n
ab
o
u
t
th
e
ef
f
ec
t
o
f
ex
p
o
s
u
r
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to
elec
tr
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d
m
ag
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f
ield
s
.
A
n
ar
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f
litt
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v
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atio
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u
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til
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o
w
is
th
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elec
tr
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f
ield
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en
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ated
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a
tr
an
s
f
o
r
m
atio
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s
u
b
s
tatio
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an
d
h
o
w
th
ese
w
ill
ch
an
g
e
as
w
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tr
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to
d
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th
e
s
ize
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d
h
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f
th
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u
b
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tatio
n
.
C
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s
tr
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a
s
u
b
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tatio
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w
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a
m
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p
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in
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r
k
er
s
in
th
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ized
s
u
b
s
tatio
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.
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s
th
e
w
o
r
k
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s
ca
n
n
o
t
b
e
ex
p
o
s
ed
to
a
p
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s
af
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u
n
t
o
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ele
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f
ield
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w
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w
ill
h
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to
b
alan
ce
th
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co
m
p
ac
t
d
esig
n
w
ith
th
e
am
o
u
n
ts
o
f
elec
tr
ic
f
ield
ex
p
o
s
u
r
e.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8792
IJ
A
P
E
Vo
l.
3
,
No
.
3
,
Dec
em
b
er
201
4
:
1
7
5
–
1
8
9
176
T
h
e
ef
f
ec
t
o
f
th
e
elec
tr
ic
f
ield
is
esp
ec
ially
im
p
o
r
tan
t
in
th
e
ar
ea
s
clo
s
ed
to
h
ig
h
v
o
ltag
e
f
ac
ilit
ies.
T
h
e
elec
tr
ic
f
ield
s
tr
en
g
th
th
at
o
cc
u
r
s
in
th
e
v
ic
in
ity
o
f
th
ese
HV
f
ac
ilit
ies
m
u
s
t
n
o
t
ex
ce
ed
th
e
lev
els
p
r
o
p
o
s
ed
b
y
en
v
ir
o
n
m
en
tal
an
d
h
ea
lth
r
eg
u
latio
n
s
an
d
s
tan
d
ar
d
s
[
1
]
.
T
h
er
ef
o
r
e,
th
e
p
r
o
b
lem
o
f
th
e
h
u
m
an
ex
p
o
s
u
r
e
to
elec
tr
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f
ield
s
h
as
b
ec
o
m
e
m
o
r
e
im
p
o
r
tan
t
w
ith
in
cr
ea
s
in
g
th
e
n
u
m
b
er
an
d
th
e
s
ize
o
f
p
o
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er
s
u
b
s
tatio
n
s
an
d
elec
tr
ic
p
o
w
er
s
y
s
tem
s
in
g
en
er
al.
T
h
is
h
ar
m
f
u
l
attr
ac
t
an
in
cr
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s
ed
atten
tio
n
o
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m
an
y
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io
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ed
ical
f
ield
r
esear
ch
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s
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s
cien
tif
ic
r
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ch
co
m
m
u
n
ities
w
o
r
ld
w
id
e
o
n
th
e
h
ea
lth
ef
f
ec
ts
o
f
elec
tr
ic
p
o
w
er
s
y
s
tem
s
.
A
s
a
r
esu
lt
o
f
th
is
in
te
r
est,
th
e
g
o
v
er
n
m
en
ts
ar
e
p
lay
in
g
an
ac
tiv
e
r
o
le
in
th
e
r
ed
u
ctio
n
o
f
th
ese
ex
p
o
s
u
r
es
to
elec
tr
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f
ield
s
b
y
s
ettin
g
ex
p
o
s
u
r
e
lim
its
f
o
r
s
u
ch
f
ield
s
w
h
ich
r
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ltin
g
f
r
o
m
d
if
f
er
en
t
elec
tr
ical
p
o
w
er
s
y
s
tem
s
[
2
-
6
]
,
to
g
u
ar
an
tee
th
e
lif
e
in
s
u
r
an
ce
o
f
all
s
taf
f
w
o
r
k
in
g
in
s
id
e
th
ese
s
u
b
s
tatio
n
s
.
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s
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er
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t
r
ep
air
w
o
r
k
,
etc.
r
eq
u
ir
e
p
r
esen
ce
o
f
s
taf
f
p
er
s
o
n
al
in
v
ar
io
u
s
p
o
in
ts
o
f
5
0
0
k
V
an
d
2
2
0
k
V
Sw
itch
y
ar
d
s
(
s
u
b
s
tatio
n
ter
r
ito
r
y
)
.
T
h
er
ef
o
r
e,
th
e
in
v
esti
g
atio
n
f
o
r
th
e
d
is
tr
ib
u
tio
n
lev
els
o
f
th
e
elec
tr
ic
f
ield
s
in
s
id
e
th
ese
s
u
b
s
tatio
n
s
is
an
im
p
o
r
tan
t
s
tep
f
o
r
s
o
lv
in
g
th
e
p
r
o
b
lem
o
f
p
er
s
o
n
n
el
p
r
o
tectio
n
f
r
o
m
th
e
ef
f
ec
ts
o
f
th
ese
f
ield
s
.
I
n
th
is
s
tu
d
y
,
th
e
p
r
esen
t
alg
o
r
ith
m
is
ca
r
r
ied
o
u
t
to
ass
ess
m
en
t
th
e
d
is
tr
ib
u
tio
n
lev
els
o
f
th
e
elec
tr
ic
f
ield
in
ten
s
ity
p
r
o
d
u
ce
d
b
y
d
if
f
er
en
t
h
ig
h
v
o
ltag
e
elec
tr
ical
p
o
w
er
s
y
s
tem
s
in
s
id
e
5
0
0
/2
2
0
k
V
air
-
in
s
u
lated
(
A
I
S)
s
u
b
s
tatio
n
.
T
h
is
s
tu
d
y
d
ep
icts
th
e
elec
tr
ic
f
ield
d
is
tr
ib
u
tio
n
s
in
s
id
e
a
ty
p
ical
5
0
0
/2
2
0
k
V
s
u
b
s
tatio
n
,
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air
o
5
0
0
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u
b
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,
u
n
d
er
ac
tu
al
lo
ad
in
g
co
n
d
itio
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s
an
d
d
u
r
in
g
d
if
f
er
en
t
w
o
r
k
in
g
co
n
d
itio
n
s
(
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t
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Sti
ck
p
o
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itio
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an
d
B
ar
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Han
d
p
o
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itio
n
)
.
T
h
e
elec
tr
ic
f
ield
is
in
v
esti
g
ated
f
o
r
d
if
f
er
en
t
w
o
r
k
er
s
h
eig
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o
f
1
m
,
1
.
5
m
an
d
1
.
8
m
ab
o
v
e
g
r
o
u
n
d
.
T
h
ese
f
ield
s
ar
e
o
b
s
er
v
ed
d
u
r
in
g
n
o
r
m
al
w
o
r
k
in
g
co
n
d
itio
n
(
Ho
t
-
Sti
ck
p
o
s
itio
n
)
in
s
id
e
th
is
s
u
b
s
tatio
n
.
T
h
is
in
ad
d
itio
n
to
ass
ess
m
en
t
o
f
th
e
se
f
ield
s
at
d
if
f
er
en
t
h
eig
h
t
lev
els
w
h
ich
r
ep
r
esen
t
th
e
p
o
s
s
ib
le
p
o
s
itio
n
s
o
f
w
o
r
k
er
s
d
u
r
in
g
w
o
r
k
in
g
as
liv
e
lin
e
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ain
ten
an
ce
(
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ar
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Han
d
p
o
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itio
n
)
s
u
ch
as
at
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eig
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ts
o
f
8
m
,
1
1
m
,
1
4
m
an
d
1
7
m
ab
o
v
e
g
r
o
u
n
d
as
p
o
s
itio
n
s
f
o
r
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e
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e
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ain
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ce
u
n
d
er
2
2
0
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V
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u
s
b
ar
s
,
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0
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u
s
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ar
s
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V
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n
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m
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g
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tg
o
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er
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d
5
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n
co
m
in
g
an
d
Ou
tg
o
in
g
f
ee
d
er
s
r
esp
ec
tiv
ely
.
I
n
th
is
s
tu
d
y
th
e
s
im
u
latio
n
r
esu
lts
o
f
th
e
elec
tr
ic
f
ield
o
b
tain
ed
u
s
in
g
th
r
ee
d
im
en
s
io
n
al
(
3
D)
co
m
p
u
ter
m
o
d
el
f
o
r
ex
is
tin
g
ty
p
ical
s
u
b
s
tatio
n
ar
e
co
m
p
ar
ed
w
ith
f
ield
v
alu
es
m
ea
s
u
r
ed
in
s
id
e
th
is
ty
p
ical
s
u
b
s
tatio
n
an
d
co
m
p
ar
ed
w
ith
in
ter
n
at
io
n
al
g
u
id
elin
es
f
o
r
p
er
s
o
n
n
el
ex
p
o
s
u
r
e
to
elec
tr
ic
f
ield
[
3
,
4
]
.
T
h
e
r
esu
lts
ar
e
tab
u
lated
an
d
p
r
esen
ted
n
o
t
o
n
ly
in
th
e
f
o
r
m
o
f
co
n
to
u
r
m
ap
s
b
u
t
also
in
th
e
f
o
r
m
3
D
s
u
r
f
ac
e
an
d
w
ir
ef
r
am
e
m
ap
s
.
T
h
is
s
tu
d
y
w
ill
s
er
v
e
f
o
r
p
lan
n
in
g
s
er
v
ice
w
o
r
k
s
o
r
f
o
r
in
s
p
e
ctio
n
o
f
eq
u
ip
m
en
t
in
s
id
e
HV
p
o
w
er
tr
an
s
f
o
r
m
atio
n
s
u
b
s
tatio
n
s
.
2.
SUB
ST
A
T
I
O
N
D
E
SC
RIP
T
I
ON
T
h
e
ca
lcu
latio
n
s
o
f
elec
tr
ic
f
i
eld
s
ar
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p
er
f
o
r
m
ed
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n
s
id
e
5
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ir
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p
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IJ
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d
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i
s
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s
ed
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ce
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y
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a
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r
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b
co
n
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u
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r
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.
T
h
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d
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elo
p
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M
-
Scr
ip
ts
ar
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u
s
in
g
t
h
e
d
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cr
ete
f
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u
s
f
i
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s
o
f
t
h
e
m
.
T
h
ese
lin
e
c
h
ar
g
es
ar
e
co
n
s
id
er
ed
as
a
p
r
o
p
o
s
ed
s
o
lu
tio
n
o
f
L
ap
l
ac
e
eq
u
atio
n
w
h
ic
h
g
o
v
er
n
s
t
h
e
ass
e
s
s
m
e
n
t o
f
t
h
e
elec
tr
ic
f
ield
[
7
-
1
0
]
.
T
h
e
elec
tr
ic
p
o
ten
tial
o
f
all
in
co
m
i
n
g
f
ee
d
er
s
,
o
u
t
g
o
i
n
g
f
ee
d
er
s
an
d
b
u
s
-
b
ar
s
u
r
f
ac
e
s
h
a
s
b
ee
n
d
ef
in
ed
as
co
m
p
lex
p
o
te
n
tials
an
d
ass
u
m
ed
to
b
e
eq
u
al
to
t
h
eir
p
h
ase
v
o
lta
g
e.
T
h
ese
ass
u
m
p
tio
n
s
lead
to
a
ch
ar
g
e
s
i
m
u
latio
n
m
et
h
o
d
f
o
r
m
u
latio
n
.
T
h
e
s
ta
n
d
b
y
b
u
s
-
b
a
r
s
ar
e
r
ep
r
esen
ted
b
y
f
i
n
ite
li
n
e
f
icti
tio
u
s
ch
ar
g
e
s
,
th
eir
p
o
ten
tial
is
a
s
s
u
m
ed
to
b
e
ze
r
o
.
T
h
e
elec
tr
ic
f
ield
in
s
id
e
HV
s
u
b
s
tat
io
n
s
ar
e
ex
cite
d
b
y
al
l
co
n
d
u
c
to
r
s
u
n
d
er
v
o
lta
g
e
an
d
ar
e
d
ef
o
r
m
ed
b
y
m
etal,
co
n
cr
ete,
an
d
ce
r
a
m
ic
(
co
m
p
o
s
ite)
ele
m
e
n
t
s
s
u
ch
as
to
w
er
tr
u
s
s
e
s
,
s
u
p
p
o
r
tin
g
co
n
s
tr
u
ctio
n
s
,
an
d
in
s
u
lato
r
s
.
I
n
th
e
elec
tr
ic
f
ie
ld
m
o
d
el
p
r
esen
ted
in
t
h
is
s
t
u
d
y
,
th
ese
ele
m
e
n
ts
w
il
l
b
e
ig
n
o
r
ed
an
d
th
e
i
n
f
l
u
en
ce
o
f
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it
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in
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(
1
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at
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io
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elec
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ield
[
9
,
1
0
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.
]
][
[
]
[
Q
P
V
(
1
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W
h
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e:
[
Q]
is
a
co
lu
m
n
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f
t
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f
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[
V]
is
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is
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Ma
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tial
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On
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I
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N
:
2
2
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8792
IJ
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x
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Fig
u
r
e
8
.
Dis
tr
ib
u
tio
n
o
f
f
in
i
te
lin
e
ch
ar
g
es,
ch
ec
k
a
n
d
b
o
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n
d
ar
y
p
o
in
t
s
o
n
o
n
l
y
o
n
e
p
h
a
s
e
.
X
-
a
x
i
s
Z
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a
x
i
s
Y
-
a
x
i
s
X
X
Z
Z
Y
Y
P
(
X
,
Y
,
Z
)
L
L
L
L
Q
Q
2
1
2
2
1
1
2
1
11
22
j
j
Fig
u
r
e
9
.
Fin
ite
li
n
e
c
h
ar
g
e
an
d
co
n
to
u
r
p
o
in
t P
i in
th
r
ee
d
i
m
en
s
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x
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d
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ec
tio
n
s
.
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h
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e
)
(
1
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(
1
1
2
1
2
1
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L
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d
L
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)
(
1
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(
1
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22
11
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11
d
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d
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T
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ield
(
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(
P
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d
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1
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to
tal
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tr
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ield
at
th
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i
th
co
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to
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r
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t is e
x
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ess
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as
:
2
2
2
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zi
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5
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
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I
SS
N:
2252
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8792
I
n
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s
tig
a
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o
f E
lectric F
ield
Dis
tr
ib
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tio
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I
n
s
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e
5
0
0
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Tr
a
n
s
fo
r
ma
tio
n
…
(
E
s
s
a
m
M
.
S
h
a
a
la
n
)
181
T
h
e
m
et
h
o
d
o
lo
g
y
o
f
3
D
C
SM
u
s
ed
i
n
th
e
ca
lc
u
latio
n
an
d
in
v
e
s
ti
g
atio
n
o
f
t
h
e
el
ec
tr
ic
f
ield
d
is
tr
ib
u
tio
n
i
n
s
id
e
s
elec
ted
t
y
p
ical
HV
s
u
b
s
tatio
n
i
s
s
i
m
p
l
y
p
r
esen
ted
in
th
e
s
c
h
e
m
atic
d
escr
ib
ed
in
Fig
u
r
e
.
10.
Fig
u
r
e
10
.
Si
m
p
lifie
d
s
ch
e
m
at
ic
d
iag
r
a
m
f
o
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th
e
d
ev
elo
p
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T
L
A
B
p
r
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g
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a
m
.
5.
SI
M
UL
AT
I
O
N
R
E
S
UL
T
S
A
ND
DIS
CUSS
I
O
NS
5
.
1
.
E
lect
ric
F
ield Di
s
t
ributio
n D
uring
No
r
m
a
l C
o
n
ditio
ns
T
h
e
elec
tr
ic
f
ield
is
i
n
v
est
ig
ated
in
s
id
e
a
t
y
p
ica
l
5
0
0
/2
2
0
k
V
s
u
b
s
tatio
n
u
n
d
er
ac
t
u
a
l
lo
ad
in
g
co
n
d
itio
n
s
f
o
r
d
if
f
er
e
n
t
w
o
r
k
er
s
h
e
ig
h
t
s
o
f
1
m
,
1
.
5
m
a
n
d
1
.
8
m
ab
o
v
e
g
r
o
u
n
d
d
u
r
in
g
n
o
r
m
al
w
o
r
k
in
g
co
n
d
itio
n
(
Ho
t
-
Sti
c
k
p
o
s
itio
n
)
in
s
id
e
th
i
s
s
u
b
s
tatio
n
.
Fi
g
u
r
e
s
1
1
,
1
2
an
d
1
3
p
r
esen
t
th
e
elec
tr
ic
f
ield
d
is
tr
ib
u
tio
n
o
v
er
all
ter
r
ito
r
y
o
f
s
elec
ted
s
u
b
s
ta
tio
n
f
o
r
d
if
f
er
en
t
w
o
r
k
er
s
h
ei
g
h
ts
o
f
1
m
,
1
.
5
m
an
d
1
.
8
m
ab
o
v
e
g
r
o
u
n
d
i
n
t
h
e
f
o
r
m
o
f
co
n
to
u
r
s
m
ap
s
r
esp
ec
ti
v
el
y
.
Fro
m
t
h
ese
f
i
g
u
r
es,
i
t
is
n
o
ticed
th
a
t
b
y
in
cr
ea
s
in
g
t
h
e
w
o
r
k
er
s
/calc
u
latio
n
h
e
ig
h
t,
t
h
e
d
en
s
it
y
o
f
elec
tr
ic
f
ield
s
'
co
n
to
u
r
lin
es
n
ea
r
b
y
t
h
e
b
u
s
b
ar
s
,
in
g
o
in
g
an
d
o
u
tg
o
i
n
g
f
ee
d
er
s
i
n
cr
ea
s
ed
an
d
th
e
m
a
x
i
m
u
m
,
av
er
a
g
e
an
d
m
in
i
m
u
m
v
a
lu
e
s
o
f
t
h
e
ele
ctr
ic
f
ield
s
tr
e
n
g
t
h
in
cr
ea
s
ed
also
as
s
h
o
w
n
i
n
T
ab
le
1
.
T
h
is
in
ad
itio
n
to
ex
ce
p
t
f
o
r
th
e
ar
ea
s
n
ea
r
b
y
t
h
e
b
u
s
b
ar
s
t
h
e
co
n
to
u
r
lin
es a
r
e
ali
g
n
ed
w
it
h
t
h
e
li
n
e
co
n
d
u
cto
r
s
w
it
h
elec
tr
ic
f
ie
ld
v
alu
e
s
r
elate
d
to
th
e
li
n
es
'
v
o
ltag
e
v
al
u
es.
T
ab
le
1
.
E
lectr
ic
f
ield
v
alu
es
f
o
r
d
if
f
er
en
t
w
o
r
k
er
s
h
ei
g
h
ts
o
f
1
m
,
1
.
5
m
an
d
1
.
8
m
i
n
s
id
e
H
V
5
0
0
/2
2
0
k
V
s
u
b
s
ta
tio
n
.
W
o
r
k
e
r
s
/
C
a
l
c
.
Hei
g
h
t
M
a
x
E
l
e
c
.
F
i
e
l
d
M
i
n
.
E
l
e
c
.
Fi
e
l
d
A
v
g
.
E
l
e
c
.
Fi
e
l
d
(
k
V
/
m)
V
a
l
u
e
(
k
V
/
m)
P
o
si
t
i
o
n
(
X
,
Y
)
m
V
a
l
u
e
(
V
/
m)
P
o
si
t
i
o
n
(
X
,
Y
)
m
1
m
2
4
.
2
3
x
=
2
2
0
y
=
3
0
0
7
1
.
9
2
x
=
0
y
=
1
3
7
.
5
8
.
4
9
1
.
5
m
2
5
.
7
8
7
6
.
5
3
9
.
0
4
1
.
8
m
2
7
.
1
1
8
0
.
4
7
9
.
5
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8792
IJ
A
P
E
Vo
l.
3
,
No
.
3
,
Dec
em
b
er
201
4
:
1
7
5
–
1
8
9
182
Fig
u
r
e
1
1
.
C
o
n
to
u
r
m
ap
f
o
r
th
e
elec
tr
ic
-
f
ield
d
is
tr
ib
u
tio
n
th
r
o
u
g
h
o
u
t a
ll t
h
e
s
u
b
s
tatio
n
ar
ea
,
at
1
m
ab
o
v
e
g
r
o
u
n
d
le
v
el
.
Fig
u
r
e
(
12
)
: Co
n
to
u
r
m
ap
f
o
r
t
h
e
elec
tr
ic
-
f
ield
d
is
tr
ib
u
tio
n
t
h
r
o
u
g
h
o
u
t a
ll t
h
e
s
u
b
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I
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IJ
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r
r
elate
d
s
tu
d
ies [
1
4
,
1
5
]
.
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