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Vo
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-
1931
1919
J
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e
:
h
ttp
:
//ia
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a
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h
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/I
JP
E
DS
The Co
m
bina
tion
of New
ton
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n Metho
d and
Curv
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thod for
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u
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it
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n
v
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ter
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w
to
n
-
r
ap
h
s
on
SHEP
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Co
p
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rig
h
t
©
201
7
In
s
t
it
u
te o
f
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d
v
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l
rig
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p
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uth
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r
:
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j
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in
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u
lt
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Nar
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RO
D
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P
W
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ased
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n
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tec
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ased
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8
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ased
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r
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p
o
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ed
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eth
o
d
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o
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SHEP
W
M.
2.
P
WM
-
B
ASE
D
I
NV
E
R
T
E
R
T
O
P
O
L
O
G
Y
A
n
H
-
b
r
id
g
e
in
v
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ter
is
a
u
n
iv
er
s
al
in
v
er
ter
to
p
o
lo
g
y
f
o
r
v
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o
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er
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tr
o
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ics
ap
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n
s
w
ith
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f
ew
n
u
m
b
er
o
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cir
cu
it
elem
en
ts
,
also
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e
k
n
o
w
n
as
Fu
ll
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b
r
id
g
e
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v
er
ter
.
T
h
is
s
tr
u
ctu
r
e
in
clu
d
es
f
o
u
r
p
o
w
er
s
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itch
es
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a
DC
s
o
u
r
ce
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h
er
ea
s
Va
is
th
e
o
u
tp
u
t
ter
m
in
al
w
h
ich
co
n
n
ec
ts
to
lo
ad
th
at
illu
s
tr
ates
in
Fig
u
r
e
1
(
a)
.
I
t
ca
n
g
en
er
ate
th
r
ee
lev
els
d
if
f
er
en
t
v
o
ltag
e
o
u
tp
u
ts
s
u
ch
as
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o
s
itiv
e
v
o
ltag
e,
+V
d
c,
n
eg
ativ
e
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o
ltag
e,
-
Vd
c,
an
d
ze
r
o
-
v
o
ltag
e,
its
o
p
er
ated
w
av
ef
o
r
m
s
ar
e
illu
s
tr
ated
in
Fig
u
r
e
1
(
b
)
.
T
o
o
b
tain
th
e
p
o
s
itiv
e
o
u
tp
u
t
v
o
ltag
e,
Sa1
an
d
Sa4
ar
e
tu
r
n
ed
o
n
.
On
th
e
o
th
er
h
an
d
,
w
h
ile
Sa2
an
d
Sa3
ar
e
tu
r
n
ed
o
n
,
th
e
n
eg
ativ
e
o
u
tp
u
t
v
o
ltag
e
is
g
en
er
ated
.
Mo
r
eo
v
er
,
th
er
e
ar
e
tw
o
p
atter
n
s
to
o
b
tain
ze
r
o
v
o
ltag
e
at
th
e
o
u
tp
u
t
ter
m
in
al
th
o
s
e
ar
e
tu
r
n
ed
o
n
b
y
Sa1
,
Sa3
an
d
Sa2
,
Sa4
.
W
ith
th
e
p
atter
n
s
to
o
b
tain
ze
r
o
-
v
o
ltag
e
is
ca
lled
th
e
o
v
er
lap
s
ig
n
als.
Sev
er
al
P
W
M
tech
n
iq
u
es
ar
e
p
r
o
p
o
s
e
d
f
o
r
co
n
tr
o
llin
g
H
-
b
r
id
g
e
in
v
er
ter
to
p
r
o
d
u
ce
o
u
tp
u
t
v
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ltag
e
w
av
ef
o
r
m
th
at
ap
p
r
o
x
im
ates
clo
s
ely
to
a
s
in
e
w
av
ef
o
r
m
w
h
ich
ca
n
r
ed
u
ce
th
e
to
tal
h
ar
m
o
n
ics
d
is
to
r
tio
n
(
T
HD)
o
f
th
e
o
u
tp
u
t
v
o
ltag
e.
a
V
1
a
S
2
a
S
3
a
S
4
a
S
S
V
a
V
a
V
k
k
k
k
2
0
1
0
0
0
0
1
12
,
aa
SS
"
0
"
:
,
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1
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o
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n
L
o
g
i
c
U
p
p
e
r
d
e
v
i
c
e
o
n
34
,
aa
SS
(
a)
(
b
)
Fig
u
r
e
1
.
(
a)
H
-
b
r
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e
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ter
cir
cu
it a
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b
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its
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ated
w
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3.
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L
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C
T
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ARM
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NIC E
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M
I
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E
C
H
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e
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e
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w
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latio
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(
P
W
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tech
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es
w
er
e
p
r
o
p
o
s
ed
in
th
e
last
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ec
ad
e
f
o
r
co
n
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o
llin
g
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in
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er
ter
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o
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ies
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d
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ce
th
e
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t
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at
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ates
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ely
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e
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ith
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ed
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ce
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tal
h
ar
m
o
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ics
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is
to
r
tio
n
(
T
HD)
o
f
th
e
o
u
tp
u
t v
o
ltag
e.
SHEP
W
M,
its
s
ch
em
e
is
g
iv
en
in
Fig
u
r
e
2
,
is
th
e
d
eter
m
in
atio
n
o
f
th
e
s
w
itch
in
g
p
atter
n
s
b
y
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tin
g
u
n
w
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ted
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ar
m
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n
ics
o
f
th
e
ex
p
ec
ted
o
u
tp
u
t
w
av
ef
o
r
m
to
elim
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ate,
n
o
r
m
ally
,
th
e
f
r
eq
u
en
cy
co
m
p
o
n
en
ts
th
o
s
e
n
ea
r
est
f
u
n
d
am
en
tal
f
r
eq
u
en
cies
ar
e
s
elec
ted
to
elim
in
ate,
b
u
t
r
em
ain
in
g
th
e
f
u
n
d
am
en
tal
co
m
p
o
n
en
t,
5
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Hz
o
r
6
0
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b
y
co
m
p
u
tatio
n
o
f
th
e
p
r
o
p
er
co
n
d
u
ctin
g
a
n
g
les
(
k
)
o
n
th
e
f
ir
s
t
q
u
ar
ter
o
f
a
cy
cle
o
f
th
e
o
u
tp
u
t
v
o
ltag
e
o
f
th
e
H
-
b
r
id
g
e
in
v
er
ter
b
etw
ee
n
th
e
r
an
g
e
o
f
0
to
/2
;
it
ca
n
b
e
w
r
itten
in
th
e
f
o
r
m
o
f
th
e
Fo
u
r
ier
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er
ies
ex
p
an
s
io
n
o
f
th
e
s
y
m
m
etr
ic
w
av
ef
o
r
m
g
iv
en
in
E
q
u
atio
n
(
1
)
.
A
s
a
s
y
m
m
etr
ical
alter
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ativ
e
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tep
p
ed
w
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ef
o
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m
,
th
e
p
r
o
p
er
co
n
d
u
ctin
g
an
g
les
o
n
th
e
r
est
th
r
ee
q
u
ar
ter
s
,
2
nd
,
3
rd
,
an
d
4
th
q
u
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ter
s
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ar
e
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lated
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y
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s
in
g
th
e
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r
o
p
er
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e
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ir
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t
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ter
o
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th
e
r
ef
er
en
ce
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m
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lete
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f
w
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ef
o
r
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g
en
er
atio
n
is
s
h
o
w
n
in
T
ab
le
1
.
(
1
)
1
4
(
1
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c
o
s
m
k
nk
k
Vn
n
(
1
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
PEDS
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N:
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8
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g
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o
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m
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s
i
ne
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e
Fig
u
r
e
2
.
SHEP
W
M
s
ch
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m
e
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tp
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t
w
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v
e
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m
w
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m
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g
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g
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(
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is
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m
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h
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ig
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th
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ts
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s
s
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r
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ased
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ter
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atio
n
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eq
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ests
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o
u
tp
u
t
v
o
ltag
e
w
ith
4
o
r
d
er
s
o
f
elim
in
ated
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n
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ted
h
ar
m
o
n
ics,
3
rd
,5
th
,
7
th
,
an
d
9
th
h
ar
m
o
n
ic
w
h
ich
ar
e
th
e
n
ea
r
est
to
th
e
f
u
n
d
am
en
tal
f
r
eq
u
en
cy
.
T
h
is
o
p
er
atio
n
n
ee
d
s
f
iv
e
ap
p
r
o
p
r
iate
s
w
itch
in
g
an
g
les
f
o
r
co
m
p
u
tatio
n
p
r
o
ce
s
s
(
1
2
3
4
5
,
,
,
,
)
.
Fo
llo
w
in
g
th
at,
E
q
u
atio
n
(
2
)
is
a
ter
m
o
f
th
e
f
u
n
d
am
e
n
tal
co
m
p
o
n
en
t.
T
h
e
f
u
n
d
am
en
tal
m
ag
n
itu
d
e
o
f
th
e
o
u
tp
u
t
v
o
ltag
e
is
d
escr
ib
ed
b
y
th
e
r
ig
h
t
-
h
an
d
s
id
e
o
f
th
e
E
q
u
atio
n
.
A
d
d
itio
n
ally
,
th
e
Mi
in
E
q
u
atio
n
(
2
)
r
ep
r
esen
ts
m
o
d
u
latio
n
in
d
ex
th
at
is
th
e
r
atio
o
f
th
e
m
ag
n
itu
d
e
v
o
ltag
e
o
f
th
e
f
u
n
d
am
en
tal
co
m
p
o
n
en
t
(
V
1
)
an
d
th
e
DC
v
o
ltag
e
s
o
u
r
ce
o
f
th
e
in
v
er
ter
(
V
dc
)
,
f
o
llo
w
in
g
E
q
u
atio
n
(
7
)
.
T
h
e
n
u
m
er
als
3
,
5
,
7
an
d
9
in
E
q
u
atio
n
s
(
3
)
,
(
4
)
,
(
5
)
,
an
d
(
6
)
r
esp
ec
tiv
ely
ar
e
th
e
n
u
m
b
er
s
o
f
u
n
w
an
ted
h
ar
m
o
n
ics
s
elec
ted
f
o
r
elim
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atio
n
,
ze
r
o
o
n
th
e
r
ig
h
t
-
h
an
d
s
id
e
o
f
th
e
E
q
u
atio
n
s
ar
e
d
escr
ib
ed
.
T
h
e
T
HD
ca
lcu
latio
n
o
f
th
e
o
u
tp
u
t
v
o
ltag
e
ca
n
u
s
e
E
q
u
atio
n
(
8
)
.
1
2
3
4
5
c
o
s
c
o
s
c
o
s
c
o
s
c
o
s
4
--
i
M
(
2
)
1
2
3
4
5
c
o
s
3
c
o
s
3
c
o
s
3
c
o
s
3
c
o
s
3
0
--
(
3
)
1
2
3
4
5
c
o
s
5
c
o
s
5
c
o
s
5
c
o
s
5
c
o
s
5
0
--
(
4
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1
2
3
4
5
c
o
s
7
c
o
s
7
c
o
s
7
c
o
s
7
c
o
s
7
0
--
(
5
)
1
2
3
4
5
c
o
s
9
c
o
s
9
c
o
s
9
c
o
s
9
c
o
s
9
0
--
(
6
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
694
IJ
PEDS
Vo
l.
8
,
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er
2
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1
9
–
1
9
3
1
1922
T
o
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e
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ig
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ted
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.
Evaluation Warning : The document was created with Spire.PDF for Python.