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201
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p
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f
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at
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[
1
]
,
[
2
]
.
T
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ca
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P
M
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in
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4
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[
5
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8
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is
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
:
2
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8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
4
,
Dec
em
b
er
2
0
1
8
:
1545
–
1
5
5
1
1546
T
h
e
C
OM
SO
L
s
o
f
t
w
ar
e
p
ac
k
ag
e
is
u
s
ed
f
o
r
s
i
m
u
latio
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b
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Fo
r
v
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if
icatio
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t
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ar
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m
eter
s
u
s
ed
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n
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la
tio
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lo
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p
ap
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as
f
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s
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co
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f
ig
u
r
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f
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ca
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g
P
MT
G,
an
d
th
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ar
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m
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s
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tr
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s
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tio
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I
I
.
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tech
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iq
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lo
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t
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I
V.
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s
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V
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eq
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a
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Sectio
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g
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s
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s
.
2.
M
ACH
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CO
NF
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RAT
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AND
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L
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th
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s
p
ap
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w
a
s
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tr
o
d
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ce
d
in
[
3
]
.
T
h
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g
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er
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is
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s
ed
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t
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co
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b
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m
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y
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g
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r
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in
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(
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u
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en
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r
t
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G,
t
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ed
d
y
cu
r
r
en
t
lo
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0
.
5
6
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att)
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e
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s
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MC
m
ater
ial
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tat
o
r
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d
tr
an
s
lato
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T
h
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e
d
d
y
-
cu
r
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n
t
lo
s
s
i
s
ca
lcu
lated
as
f
o
llo
w
s
:
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j
P
e
(
7
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n
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n
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is
3
.
5
6
(
w
att)
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o
r
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P
MT
G,
an
d
th
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tal
r
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ce
o
f
co
ils
i
s
4
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9
5
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.
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n
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Fi
g
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s
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s
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lace
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o
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in
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r
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ip
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Fi
g
u
r
e
1
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h
o
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e
lo
ad
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Fig
u
r
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.
I
n
p
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t f
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d
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Fig
u
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1
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Ou
tp
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o
lta
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4.
ANALY
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CAL C
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
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2
0
8
8
-
8
694
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
,
Vo
l.
9
,
No
.
4
,
Dec
em
b
er
2
0
1
8
:
1545
–
1
5
5
1
1550
T
h
e
ir
o
n
lo
s
s
is
ca
lc
u
lated
b
y
u
s
i
n
g
t
h
e
eq
u
atio
n
ex
tr
ac
ted
f
r
o
m
t
h
e
ca
talo
g
o
f
S
MC
m
ater
ial.
T
o
ca
lcu
late
th
e
ir
o
n
lo
s
s
,
th
e
s
tato
r
co
r
e
is
d
iv
id
ed
i
n
to
d
if
f
er
en
t
p
ar
ts
w
i
th
r
esp
ec
t
t
o
th
e
f
l
u
x
d
en
s
it
y
d
is
tr
ib
u
tio
n
.
Si
n
ce
t
h
e
s
tato
r
co
r
e
is
i
n
clu
d
i
n
g
t
h
e
y
o
k
e
an
d
to
o
th
p
ar
ts
,
t
h
e
m
a
x
i
m
u
m
f
lu
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d
en
s
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y
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n
ea
c
h
p
ar
t
is
ca
lc
u
lated
b
y
u
s
i
n
g
t
h
e
an
al
y
tical
m
eth
o
d
p
r
ese
n
ted
i
n
[
1
8
]
.
Fig
u
r
e
1
1
s
h
o
w
s
t
h
e
c
o
r
e
p
ar
titi
o
n
in
g
f
o
r
ca
lcu
lati
n
g
th
e
co
r
e
lo
s
s
an
a
l
y
ticall
y
:
ex
e
M
m
h
FE
P
P
P
P
1
(
8
)
1
0
0
0
1
.
8
2
2
2
2
2
75
.
1
y
r
e
s
i
s
t
i
v
i
t
d
f
B
B
f
K
fB
K
P
m
m
ep
m
h
FE
(
9
)
T
h
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co
m
p
ar
is
o
n
o
f
r
es
u
lts
o
b
t
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r
o
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g
h
a
n
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y
tical
m
eth
o
d
an
d
FEM
is
s
h
o
w
n
i
n
Fi
g
u
r
e
12.
T
h
e
r
esis
ta
n
ce
an
d
co
p
p
er
lo
s
s
o
f
co
ils
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n
b
e
ca
lc
u
lated
w
h
ile
h
av
i
n
g
t
h
e
t
u
r
n
n
u
m
b
er
,
t
h
e
c
r
o
s
s
s
ec
tio
n
al
ar
ea
,
an
d
co
n
d
u
cti
v
it
y
o
f
co
ils
.
T
h
e
o
b
tain
ed
v
alu
e
f
o
r
r
esis
tan
ce
is
4
.
2
8
6
(
ῼ
)
,
an
d
th
e
co
p
p
er
l
o
s
s
is
eq
u
al
to
3
.
6
(
w
att)
.
T
h
e
an
al
y
tical
l
y
ca
lcu
l
ated
lo
s
s
in
cl
u
d
in
g
ir
o
n
a
n
d
co
p
p
er
lo
s
s
is
eq
u
al
to
9
.
2
5
8
(
w
a
tt).
Fig
u
r
e
1
1
.
Stato
r
co
r
e
p
ar
titi
o
n
in
g
f
o
r
ir
o
n
lo
s
s
ca
lcu
latio
n
Fig
u
r
e
1
2
.
L
o
s
s
co
m
p
ar
is
o
n
o
b
tain
ed
th
r
o
u
g
h
a
n
al
y
tical
m
et
h
o
d
an
d
FEM
5.
E
Q
UIVA
L
E
NT
C
I
RCU
I
T
O
F
T
H
E
RE
C
I
P
RO
CA
T
I
N
G
SI
NG
L
E
-
P
H
ASE
P
M
T
G
Fig
u
r
e
1
3
s
h
o
w
s
t
h
e
elec
tr
ic
eq
u
iv
ale
n
t
cir
c
u
it
o
f
s
i
n
g
le
-
p
h
ase
r
ec
ip
r
o
ca
tin
g
P
MT
G
in
w
h
ic
h
E
m
f
s
h
o
w
s
t
h
e
elec
tr
ic
m
o
tiv
e
f
o
r
ce
,
X
s
is
th
e
s
y
n
c
h
r
o
n
o
u
s
r
ea
cta
n
ce
,
an
d
R
s
i
s
th
e
s
tato
r
r
esis
ta
n
ce
:
a
l
o
a
d
a
s
a
s
I
R
I
R
dt
dI
L
E
m
f
(
1
0
)
v
dz
d
N
dt
dz
dz
d
N
dt
d
N
E
m
f
(
1
1
)
w
h
er
e
z
,
v
an
d
ar
e
d
is
p
lace
m
e
n
t
,
v
elo
cit
y
a
n
d
m
ag
n
etic
f
lu
x
,
r
esp
ec
tiv
el
y
.
T
h
e
s
y
n
c
h
r
o
n
o
u
s
r
ea
ctan
ce
i
s
ca
lcu
lated
b
y
u
s
i
n
g
t
h
e
r
es
u
lt
s
o
b
tain
ed
t
h
r
o
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g
h
s
h
o
r
t
-
cir
cu
i
t
an
d
o
p
en
-
cir
c
u
it
te
s
ts
[
1
9
]
.
T
h
e
o
b
tain
ed
v
al
u
es
o
f
s
y
n
c
h
r
o
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s
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m
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n
d
s
y
n
c
h
r
o
n
o
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s
in
d
u
cta
n
ce
ar
e
1
6
.
8
7
(
ῼ
)
an
d
1
1
2
(
m
H)
,
r
esp
ec
tiv
el
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
P
o
w
E
lec
&
Dr
i
S
y
s
t
I
SS
N:
2088
-
8
694
Lo
s
s
es
C
o
mp
u
ta
tio
n
in
R
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r
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ca
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b
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Gen
era
to
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(
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R
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1551
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u
r
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1
3
.
E
q
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iv
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t c
ir
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it o
f
s
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le
-
p
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ase
r
ec
ip
r
o
ca
tin
g
P
MT
G
6.
CO
NCLU
SI
O
N
I
n
th
is
p
ap
er
,
th
e
s
tu
d
ied
r
ec
ip
r
o
ca
tin
g
P
MT
G
w
it
h
s
o
lid
SMC
co
r
e
w
as
s
i
m
u
lated
an
d
an
al
y
ze
d
b
y
u
s
i
n
g
n
o
n
li
n
ea
r
tr
an
s
ie
n
t
2
-
D
FEM
,
i
n
w
h
ic
h
t
h
e
J
-
A
m
o
d
el
o
f
m
ag
n
etic
h
y
s
ter
e
s
is
was
i
n
co
r
p
o
r
ated
an
d
th
en
,
t
h
e
h
y
s
ter
esi
s
lo
s
s
es
w
e
r
e
ca
lcu
lated
.
Me
an
w
h
ile,
th
e
ed
d
y
-
c
u
r
r
en
t
an
d
co
p
p
er
lo
s
s
es
w
er
e
ca
lcu
lated
.
Du
e
to
u
s
in
g
t
h
e
SM
C
co
r
e,
th
e
ed
d
y
-
c
u
r
r
en
t
lo
s
s
es
ar
e
n
eg
lig
ib
le
d
esp
ite
t
h
e
u
s
i
n
g
o
f
s
o
l
id
co
r
e.
T
h
e
lo
s
s
es
o
b
tain
ed
th
r
o
u
g
h
FEM
ag
r
e
e
w
ell
w
it
h
th
e
co
r
r
esp
o
n
d
in
g
v
alu
e
s
ca
lcu
lated
an
al
y
ti
ca
ll
y
.
T
h
e
elec
t
r
ic
eq
u
iv
ale
n
t
cir
c
u
it
o
f
t
h
e
P
ML
G
w
a
s
also
ex
tr
ac
ted
.
W
ith
r
esp
ec
t
to
th
e
o
b
tain
ed
r
esu
l
ts
in
t
h
i
s
p
ap
er
,
th
e
u
s
i
n
g
o
f
SM
C
co
r
e
in
f
r
ee
-
p
is
t
o
n
g
e
n
er
ato
r
s
is
r
ec
o
m
m
en
d
ed
.
RE
F
E
R
E
NC
E
S
[1
]
K.
B.
Ja
n
g
,
e
t
a
l
.
,
“
Ir
o
n
l
o
ss
c
a
lcu
latio
n
i
n
a
f
lu
x
-
c
o
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c
e
n
tratio
n
-
ty
p
e
L
O
A
,
”
IEE
E
tr
a
n
sa
c
ti
o
n
s
o
n
ma
g
n
e
ti
c
s,
vol
/i
ss
u
e
:
41
(
10
)
,
p
p
.
4
0
2
4
-
4
0
2
6
,
2
0
0
5
.
[2
]
M
.
W
.
Zo
u
a
g
h
i,
e
t
a
l.
,
“
L
u
m
p
e
d
c
ircu
it
-
b
a
se
d
siz
in
g
o
f
q
u
a
si
-
Ha
lb
a
c
h
P
M
e
x
c
it
e
d
T
-
L
S
M
s:
a
p
p
l
ica
ti
o
n
to
f
re
e
p
isto
n
e
n
g
in
e
s,”
IET
El
e
c
tric P
o
w
e
r
Ap
p
li
c
a
ti
o
n
s
,
v
o
l
/
issu
e
:
11
(
4
)
,
p
p
.
5
5
7
-
5
6
6
,
2
0
1
7
.
[3
]
W
.
R.
Ca
w
th
o
rn
e
,
e
t
a
l.
,
“
De
v
e
lo
p
m
e
n
t
o
f
a
li
n
e
a
r
a
lt
e
rn
a
to
r
-
e
n
g
in
e
f
o
r
h
y
b
rid
e
lec
tri
c
v
e
h
icle
a
p
p
li
c
a
ti
o
n
s,
”
IEE
E
tra
n
sa
c
ti
o
n
s
o
n
v
e
h
icu
l
a
r tec
h
n
o
l
o
g
y
,
v
o
l
/i
ss
u
e
:
48
(
6
)
,
p
p
.
1
7
9
7
-
1
8
0
2
,
1
9
9
9
.
[4
]
N.
S
h
a
h
a
b
u
d
i
n
,
e
t
a
l.
,
“
P
o
rtab
le
P
ic
o
L
in
e
a
r
Ge
n
e
ra
to
r
De
sig
n
w
it
h
Diffe
re
n
t
M
a
g
n
e
t
S
h
a
p
e
s
fo
r
W
a
v
e
En
e
r
g
y
Co
n
v
e
rsio
n
S
y
ste
m
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
P
o
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
,
v
o
l
/i
ss
u
e
:
8
(
1
)
,
p
p
.
3
6
0
-
3
6
6
,
2
0
1
7
.
[5
]
B.
Re
z
a
e
e
a
la
m
,
“
P
e
rm
a
n
e
n
t
M
a
g
n
e
t
T
u
b
u
lar
G
e
n
e
ra
to
r
w
it
h
Q
u
a
si
-
Ha
lb
a
c
h
A
rr
a
y
f
o
r
F
re
e
-
P
i
sto
n
G
e
n
e
ra
to
r
S
y
st
e
m
,
”
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
f
Po
we
r E
lec
tro
n
ics
a
n
d
Dr
ive
S
y
s
tem
s
,
v
o
l
/i
ss
u
e
:
8
(
4
)
,
p
p
.
1
6
6
3
-
1
6
7
2
,
2
0
1
7
.
[6
]
N.
B.
Hu
n
g
a
n
d
O.
L
im
,
“
A
re
v
ie
w
o
f
f
re
e
-
p
isto
n
l
in
e
a
r
e
n
g
in
e
s,
”
Ap
p
li
e
d
E
n
e
rg
y
,
v
o
l.
1
7
8
p
p
.
7
8
-
9
7
,
2
0
1
6
.
[7
]
J.
W
a
n
g
,
e
t
a
l.
,
“
A
g
e
n
e
ra
l
fra
m
e
w
o
rk
f
o
r
th
e
a
n
a
ly
sis
a
n
d
d
e
sig
n
o
f
tu
b
u
lar
l
in
e
a
r
p
e
r
m
a
n
e
n
t
m
a
g
n
e
t
m
a
c
h
in
e
s,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
M
a
g
n
e
ti
c
s,
v
o
l
/i
ss
u
e
:
35
(
3
)
,
p
p
.
1
9
8
6
-
2
0
0
0
,
1
9
9
9
.
[8
]
H.
Ko
m
ij
a
n
i,
e
t
a
l.
,
“
M
o
d
e
li
n
g
a
n
d
sta
te
f
e
e
d
b
a
c
k
c
o
n
tro
ll
e
r
d
e
sig
n
o
f
tu
b
u
lar
li
n
e
a
r
p
e
rm
a
n
e
n
t
m
a
g
n
e
t
s
y
n
c
h
ro
n
o
u
s
m
o
to
r,
”
I
n
ter
n
a
t
io
n
a
l
J
o
u
r
n
a
l
o
f
Po
we
r
El
e
c
tro
n
ics
a
n
d
Dr
ive
S
y
ste
ms
,
v
o
l
/i
ss
u
e
:
7
(
4
)
,
p
p
.
1
4
1
0
-
1
4
1
9
,
2
0
1
6
.
[9
]
J.
F
a
iz,
e
t
a
l.
,
“
Re
c
ip
ro
c
a
ti
n
g
f
lu
x
-
c
o
n
c
e
n
trate
d
in
d
u
c
ti
o
n
g
e
n
e
r
a
to
r
f
o
r
f
re
e
-
p
isto
n
g
e
n
e
ra
to
r,
”
IEE
E
tra
n
sa
c
ti
o
n
s
o
n
m
a
g
n
e
ti
c
s,
v
o
l
/i
ss
u
e
:
42
(
9
)
,
p
p
.
2
1
7
2
-
2
1
7
8
,
2
0
0
6
.
[1
0
]
J.
W
a
n
g
a
n
d
D.
Ho
we
,
“
In
f
lu
e
n
c
e
o
f
so
f
t
m
a
g
n
e
ti
c
m
a
teria
ls
o
n
th
e
d
e
sig
n
a
n
d
p
e
rf
o
rm
a
n
c
e
o
f
tu
b
u
lar
p
e
rm
a
n
e
n
t
m
a
g
n
e
t
m
a
c
h
in
e
s,
”
IEE
E
T
ra
n
s
a
c
ti
o
n
s
o
n
M
a
g
n
e
ti
c
s,
v
o
l
/i
ss
u
e
:
41
(
10
)
,
p
p
.
4
0
5
7
-
4
0
5
9
,
2
0
0
5
.
[1
1
]
H.
S
h
o
k
ro
ll
a
h
i
a
n
d
K.
Ja
n
g
h
o
rb
a
n
,
“
S
o
f
t
m
a
g
n
e
ti
c
c
o
m
p
o
site
m
a
t
e
rials
(S
M
Cs),
”
J
o
u
rn
a
l
o
f
M
a
ter
ia
ls
Pro
c
e
ss
in
g
T
e
c
h
n
o
l
o
g
y
,
v
o
l
/i
ss
u
e
:
1
8
9
(
1
)
,
p
p
.
1
-
1
2
,
2
0
0
7
.
[1
2
]
h
tt
p
:
//
ww
w
.
h
o
g
a
n
a
s.co
m
,
[
On
li
n
e
]
.
A
v
a
il
a
b
le:
h
o
g
a
n
s,
2
0
1
6
.
[1
3
]
A
.
Be
n
a
b
o
u
,
e
t
a
l.
,
“
Co
m
p
a
riso
n
o
f
P
re
isa
c
h
a
n
d
Jiles
–
A
th
e
rto
n
m
o
d
e
ls
to
tak
e
in
to
a
c
c
o
u
n
t
h
y
ste
re
si
s
p
h
e
n
o
m
e
n
o
n
f
o
r
f
in
it
e
e
le
m
e
n
t
a
n
a
l
y
sis,
”
J
o
u
rn
a
l
o
f
ma
g
n
e
ti
sm
a
n
d
ma
g
n
e
ti
c
ma
ter
ia
ls
,
v
o
l
/i
ss
u
e
:
2
6
1
(
1
)
,
p
p
.
1
3
9
-
1
6
0
,
2
0
0
3
.
[1
4
]
D.
C.
Jiles
a
n
d
D.
L
.
A
th
e
rto
n
,
“
T
h
e
o
ry
o
f
f
e
rro
m
a
g
n
e
ti
c
h
y
ste
re
sis,
”
J
o
u
rn
a
l
o
f
ma
g
n
e
ti
s
m
a
n
d
m
a
g
n
e
ti
c
ma
ter
ia
ls,
v
o
l
/
issu
e
:
61
(
1
-
2
)
,
p
p
.
4
8
-
6
0
,
1
9
8
6
.
[1
5
]
A
.
J.
Be
rg
q
v
ist,
“
A
si
m
p
le
v
e
c
to
r
g
e
n
e
ra
li
z
a
ti
o
n
o
f
th
e
Jile
s
-
A
th
e
rto
n
m
o
d
e
l
o
f
h
y
ste
re
sis,
”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
M
a
g
n
e
ti
c
s,
v
o
l
/
issu
e
:
32
(
5
)
,
p
p
.
4
2
1
3
-
4
2
1
5
,
1
9
9
6
.
[1
6
]
J.
P
.
A
.
Ba
sto
s
a
n
d
N.
S
a
d
o
w
sk
i,
“
El
e
c
tro
m
a
g
n
e
ti
c
M
o
d
e
li
n
g
b
y
F
in
it
e
El
e
m
e
n
t
M
e
th
o
d
s
,”
N
e
w
Yo
rk
,
US
A
,
M
a
rc
e
l
De
k
k
e
r,
2
0
0
3
.
[1
7
]
B.
Zi
d
a
ric
a
n
d
D.
M
il
jav
e
c
,
“
J
A
h
y
st
e
re
sis
m
o
d
e
l
p
a
ra
m
e
ters
e
st
im
a
ti
o
n
u
sin
g
GA
,
”
Ad
v
a
n
c
e
s
in
e
lec
trica
l
a
n
d
e
lec
tro
n
ic en
g
i
n
e
e
rin
g
,
v
o
l
/i
ss
u
e
:
4
(
3
)
,
p
p
.
1
7
4
,
2
0
0
5
.
[1
8
]
J.
W
a
n
g
,
e
t
a
l.
,
“
P
re
d
ictio
n
a
n
d
m
e
a
su
re
m
e
n
t
o
f
iro
n
lo
ss
in
a
sh
o
rt
-
stro
k
e
,
sin
g
le
-
p
h
a
se
,
t
u
b
u
lar
p
e
rm
a
n
e
n
t
m
a
g
n
e
t
m
a
c
h
in
e
,”
IEE
E
T
r
a
n
sa
c
ti
o
n
s
o
n
M
a
g
n
e
ti
c
s,
v
o
l
/
issu
e
:
46
(
6
)
,
p
p
.
1
3
1
5
-
1
3
1
8
,
2
0
1
0
.
[1
9
]
A
.
E.
F
it
z
g
e
ra
ld
,
e
t
a
l.
,
“
El
e
c
tri
c
m
a
c
h
in
e
r
y
,”
Ne
w
Yo
rk
,
M
c
G
ra
w
-
Hill
,
v
o
l.
5
,
2
0
0
3
.
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