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[
1
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.
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[
1
3
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[
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4
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[
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Hig
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Vo
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Dir
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C
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r
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(
HV
DC
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2088
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8
694
A
n
a
lysi
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o
f H
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R
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C
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C
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(
D.
V
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1403
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ase
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m
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[
1
1
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.
Fo
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b
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Sh
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[
1
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A
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Mic
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B
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[
1
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.
Fu
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et.
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p
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co
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[
1
2
]
.
Her
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w
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s
a
6
0
MV
A
o
f
a
n
eg
ati
v
e
-
p
h
ase
-
s
eq
u
en
ce
p
o
w
er
o
f
a
h
ig
h
s
p
ee
d
tr
ain
,
w
as
u
s
e
d
to
ac
h
ie
v
e
lo
w
er
co
s
t,
s
m
a
ller
s
ize,
a
n
d
h
i
g
h
er
ef
f
icien
c
y
.
I
n
o
r
d
er
to
en
lar
g
e
th
e
ca
p
ac
it
y
,
th
e
a
u
t
h
o
r
s
d
ev
el
o
p
ed
tech
n
iq
u
es
o
f
co
n
n
ec
ti
n
g
I
GB
T
s
in
s
er
ie
s
w
h
ic
h
y
ield
ed
ex
ce
lle
n
t
r
e
s
u
lts
[
1
2
]
.
On
e
m
ai
n
ad
v
a
n
ta
g
e
o
f
t
h
e
m
u
ltil
e
v
el
v
o
ltag
e
s
o
u
r
ce
co
n
v
er
ter
s
is
t
h
at
it
t
y
p
icall
y
s
y
n
t
h
esize
s
t
h
e
s
tair
ca
s
e
v
o
lta
g
e
w
av
e
f
r
o
m
s
e
v
er
al
le
v
el
s
o
f
DC
ca
p
ac
ito
r
v
o
lta
g
es,
w
h
ic
h
co
u
ld
b
e
s
ee
n
as
m
o
r
e
e
f
f
ec
tiv
e
i
n
[
1
3
]
.
A
b
r
ief
r
e
v
ie
w
o
f
m
u
ltil
e
v
el
th
e
co
n
v
er
ter
s
.
A
n
e
w
b
r
ee
d
o
f
p
o
w
er
le
v
el
co
n
v
er
ter
s
w
as
p
r
esen
ted
i
n
[
1
3
]
b
y
J
ih
-
Sh
e
n
g
L
ai
&
Fa
n
g
Z
h
e
n
g
P
en
g
.
Fu
r
t
h
er
,
in
[
1
4
]
,
P
en
g
et.
a
l.
d
id
ex
ten
s
i
v
e
w
o
r
k
o
n
ca
s
ca
d
ed
m
u
ltil
e
v
el
in
v
er
ter
s
f
o
r
u
tili
t
y
ap
p
licatio
n
s
.
I
n
[
1
5
]
,
Sre
en
iv
asap
p
a,
et.
a
l.
w
o
r
k
ed
ex
ten
s
i
v
el
y
o
n
t
h
e
p
er
f
o
r
m
a
n
ce
an
al
y
s
i
s
o
f
P
W
M
s
tr
ateg
ies
f
o
r
ca
s
ca
d
ed
H
-
b
r
id
g
e
th
r
ee
-
le
v
el
p
r
o
b
lem
s
.
I
n
th
eir
w
o
r
k
,
th
e
y
p
r
ese
n
ted
th
e
p
er
f
o
r
m
an
ce
a
n
al
y
s
i
s
a
n
d
co
m
p
ar
is
o
n
o
f
d
if
f
er
en
t
P
W
M
s
tr
ateg
ies
f
o
r
ca
s
ca
d
ed
H
-
b
r
id
g
e
th
r
ee
-
le
v
el
in
v
er
ter
in
ter
m
s
o
f
li
n
e
v
o
ltag
e
an
d
m
o
to
r
c
u
r
r
en
t
T
HD
w
i
th
t
h
eir
f
u
n
d
a
m
e
n
tal
co
m
p
o
n
e
n
t
s
.
T
h
e
y
s
h
o
w
ed
t
h
at
t
h
e
h
ar
m
o
n
ic
lo
s
s
m
i
n
i
m
ized
o
p
tim
a
l
-
SHEP
W
M
s
tr
ateg
y
g
av
e
b
etter
r
esu
lts
i
n
ter
m
s
o
f
v
o
ltag
e
T
HD
co
m
p
ar
ed
to
SP
W
M,
SVP
W
M
an
d
SHEP
W
M
s
tr
ateg
ies
[
1
5
]
.
Saee
d
if
ar
d
et.
a
l.
p
r
esen
ted
in
t
h
eir
w
o
r
k
a
s
p
ac
e
v
ec
to
r
m
o
d
u
lated
m
u
lti
-
m
o
d
u
le
co
n
v
er
ter
f
o
r
b
ac
k
-
to
-
b
ac
k
H
VDC
s
y
s
te
m
i
n
[
1
7
]
.
T
h
e
co
n
v
er
ter
in
t
h
eir
ca
s
e
[
1
7
]
o
p
er
ated
w
it
h
a
f
a
ir
l
y
lo
w
s
w
itc
h
in
g
f
r
eq
u
en
c
y
a
n
d
,
th
u
s
,
it
co
u
ld
b
e
u
s
ed
f
o
r
a
h
i
g
h
-
p
o
w
er
ap
p
licatio
n
.
A
m
a
th
e
m
at
ical
m
o
d
el
w
as
also
d
ev
elo
p
ed
f
o
r
th
e
o
v
er
all
m
u
lti
-
m
o
d
el
co
n
v
er
ter
b
ased
HVDC
s
y
s
te
m
&
a
co
n
tr
o
ll
er
w
as
d
e
s
ig
n
ed
to
ev
alu
a
te
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
th
e
s
y
s
te
m
.
R
e
s
ea
r
ch
o
n
h
ar
m
o
n
ic
c
h
ar
ac
ter
is
tic
o
f
s
a
m
p
le
ti
m
e
s
tag
g
er
e
d
s
p
ac
e
v
ec
to
r
m
o
d
u
latio
n
f
o
r
m
u
l
ti
-
m
o
d
u
lar
o
r
m
u
ltil
e
v
el
co
n
v
er
t
er
s
w
as
ca
r
r
ied
o
u
t
b
y
W
an
g
et.
a
l.
in
[
1
8
]
.
T
h
ey
in
tr
o
d
u
ce
d
th
e
co
n
ce
p
t
o
f
s
am
p
le
ti
m
e
s
ta
g
g
er
ed
SVM,
w
h
ic
h
w
a
s
a
m
o
d
u
latio
n
s
tr
ateg
y
f
o
r
h
ig
h
p
o
w
er
eq
u
ip
m
e
n
ts
a
n
d
w
a
s
s
u
cc
es
s
f
u
ll
y
ap
p
lied
to
m
u
lti
-
m
o
d
u
lar
co
n
v
er
ter
s
a
n
d
ca
s
ca
d
e
m
u
ltil
ev
el
co
n
v
er
ter
s
.
I
n
th
eir
p
ap
er
,
its
m
o
d
u
la
tio
n
m
o
d
el
w
a
s
d
er
iv
ed
b
y
d
u
al
Fo
u
r
ier
tr
an
s
f
o
r
m
s
.
T
h
e
m
o
d
u
latio
n
m
o
d
el
in
f
r
eq
u
en
c
y
d
o
m
a
in
o
f
ST
S
-
S
VM
w
as
t
h
e
n
d
ed
u
ce
d
an
d
t
h
e
h
ar
m
o
n
ic
ch
ar
ac
ter
is
tic
o
f
th
at
w
a
s
a
n
al
y
ze
d
q
u
an
tita
tiv
e
l
y
.
C
o
n
cl
u
s
io
n
s
wer
e
d
r
aw
n
t
h
at
t
h
is
tec
h
n
iq
u
e
co
u
ld
b
e
u
s
ed
lar
g
el
y
to
i
m
p
r
o
v
e
th
e
eq
u
iv
ale
n
t
s
w
itc
h
in
g
f
r
eq
u
en
c
y
w
it
h
n
o
f
u
n
d
a
m
en
ta
l
co
m
p
o
n
e
n
t
lo
s
s
.
E
x
p
er
i
m
e
n
tal
r
es
u
lts
al
s
o
v
er
i
f
ied
th
e
t
h
eo
r
etica
l
an
al
y
s
is
[
1
8
]
.
Mo
d
if
ied
lo
w
s
w
itch
in
g
f
r
eq
u
en
c
y
s
p
ac
e
v
ec
to
r
m
o
d
u
lato
r
s
f
o
r
h
i
g
h
p
o
w
er
m
u
lti
-
m
o
d
u
le
co
n
v
er
ter
s
w
a
s
d
ev
elo
p
ed
b
y
Saee
d
i
f
ar
d
et.
a
l.
in
[
1
9
]
.
I
n
th
eir
w
o
r
k
,
th
e
y
co
n
ce
n
tr
ated
o
n
f
o
r
ce
-
co
m
m
u
tated
P
W
M
co
n
tr
o
lled
m
u
lti
-
co
n
v
er
ter
s
y
s
te
m
s
an
d
t
h
e
y
p
r
o
p
o
s
ed
f
o
r
h
ig
h
p
o
w
er
ap
p
licatio
n
s
,
p
ar
tic
u
lar
l
y
f
o
r
r
ea
cti
v
e
p
o
w
er
co
m
p
en
s
at
io
n
an
d
F
AC
T
S
d
ev
ices
[
1
9
]
.
A
m
u
lt
i
-
m
o
d
u
lar
m
u
lti
lev
el
co
n
v
er
ter
w
it
h
in
p
u
t
/
o
u
tp
u
t
lin
ea
r
it
y
co
n
ce
p
t
w
as
w
o
r
k
e
d
o
u
t
b
y
B
ak
ar
i
et.
a
l.
i
n
.
T
h
e
tech
n
iq
u
e
s
i
n
u
s
o
id
al
p
u
ls
e
w
id
t
h
m
o
d
u
latio
n
(
SP
W
M)
in
h
er
en
t
l
y
n
ee
d
h
i
g
h
s
w
itc
h
i
n
g
r
ate,
as
ap
p
lied
to
m
u
ltil
e
v
el
[
2
0
]
.
Gh
ai
s
ar
i
&
B
ak
h
s
h
a
i
w
o
r
k
ed
o
n
ex
ac
t
h
ar
m
o
n
ics
eli
m
i
n
atio
n
in
P
W
M
m
u
lti
-
m
o
d
u
le
co
n
v
e
r
ter
s
an
d
s
h
o
w
ed
th
a
t
th
e
y
c
an
co
m
b
in
e
h
i
g
h
er
p
o
w
er
ap
p
licatio
n
s
m
u
lti
-
m
o
d
u
le
P
W
M
an
d
m
u
lti
-
p
u
l
s
e
co
n
v
er
ter
s
tr
u
ct
u
r
es
w
it
h
s
w
i
tch
in
g
tec
h
n
iq
u
es
a
n
d
p
r
o
d
u
ce
d
g
o
o
d
r
esu
lts
in
[
2
1
]
.
Mc
Gr
ath
an
d
Ho
l
m
e
s
[
2
2
]
d
e
v
elo
p
ed
an
an
al
y
tical
m
o
d
el
o
f
a
v
o
lta
g
e
b
alan
ce
d
y
n
a
m
ics
f
o
r
a
f
l
y
in
g
ca
p
ac
i
to
r
m
u
ltil
e
v
el
co
n
v
er
ter
&
p
er
f
o
r
m
ed
a
n
u
m
b
er
o
f
s
i
m
u
l
atio
n
s
p
r
esen
ti
n
g
a
s
tr
ateg
y
f
o
r
th
e
a
n
al
y
tic
d
eter
m
in
a
tio
n
o
f
t
h
e
n
at
u
r
al
v
o
ltag
e
b
alan
ci
n
g
d
y
n
a
m
ics
o
f
f
l
y
i
n
g
ca
p
ac
ito
r
co
n
v
er
ter
s
.
Die
g
o
So
to
an
d
T
im
Gr
ee
n
d
e
v
elo
p
ed
a
s
tr
ateg
y
f
o
r
th
e
co
m
p
ar
i
s
o
n
o
f
h
i
g
h
-
p
o
w
er
co
n
v
er
ter
to
p
o
lo
g
ies
f
o
r
th
e
i
m
p
le
m
en
tatio
n
o
f
F
AC
T
S
co
n
tr
o
ller
s
in
[
2
4
]
.
T
h
e
au
th
o
r
s
co
m
p
ar
ed
4
c
o
n
v
er
ter
to
p
o
lo
g
ies
f
o
r
th
e
i
m
p
le
m
e
n
t
atio
n
o
f
f
lex
ib
le
AC
tr
an
s
m
i
s
s
io
n
s
y
s
te
m
co
n
tr
o
ller
s
.
B
ac
k
-
to
-
b
ac
k
HV
DC
p
o
w
er
tr
an
s
m
i
s
s
io
n
s
y
s
te
m
s
h
av
e
in
cr
ea
s
ed
g
r
ea
tl
y
i
n
a
n
u
m
b
er
o
f
i
n
d
u
s
tr
ial
p
o
w
er
elec
tr
o
n
ic
ap
p
licatio
n
s
.
T
h
ey
h
av
e
g
o
t
th
e
ad
v
a
n
tag
e
o
f
in
ter
co
n
n
ec
ti
n
g
lar
g
e
p
o
w
e
r
s
y
s
te
m
s
[
5
]
.
A
3
6
-
p
u
l
s
e
f
il
te
r
-
les
s
co
n
f
i
g
u
r
atio
n
f
o
r
b
ac
k
-
to
-
b
ac
k
H
VDC
s
y
s
te
m
s
[
2
]
h
a
s
g
o
t
t
h
e
p
o
s
s
ib
ili
t
y
o
f
ad
v
an
tag
e
s
i
n
asp
ec
ts
o
f
d
esig
n
,
r
eliab
ilit
y
an
d
ca
p
ital
s
av
i
n
g
s
,
w
h
er
eb
y
h
ar
m
o
n
ics
co
u
ld
b
e
eli
m
in
ated
w
it
h
in
th
e
d
esi
g
n
ed
co
n
v
er
ter
.
C
o
m
b
i
n
i
n
g
a
n
u
m
b
er
o
f
co
n
v
e
n
tio
n
al
2
o
r
3
-
lev
el
c
o
n
v
er
ter
s
co
n
n
ec
ted
i
n
s
er
ies
an
d
/o
r
in
p
ar
allel
to
p
r
o
v
id
e
v
o
ltag
e
a
n
d
cu
r
r
en
t
s
h
ar
i
n
g
a
m
o
n
g
t
h
e
s
e
m
ico
n
d
u
cto
r
d
ev
ices
is
an
o
t
h
er
ap
p
r
o
ac
h
[
1
]
.
T
h
e
co
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w
h
en
s
y
s
te
m
o
p
er
ates
at
h
i
g
h
p
o
w
er
f
ac
to
r
.
B
etter
cu
r
r
en
t
c
o
n
tr
o
l.
T
h
e
s
h
o
r
t
-
ter
m
o
v
er
cu
r
r
en
t
p
r
o
tectio
n
is
in
h
er
en
t
b
y
th
e
p
r
esen
ce
o
f
th
e
DC
s
id
e
in
d
u
cto
r
,
w
h
ile
t
h
e
lo
n
g
-
ter
m
p
r
o
tectio
n
is
ac
h
iev
e
d
b
y
th
e
cu
r
r
en
t
co
n
tr
o
l
lo
o
p
.
I
n
o
r
d
er
to
ac
h
i
ev
e
h
ig
h
q
u
alit
y
p
er
f
o
r
m
an
ce
a
n
d
o
u
tp
u
t
v
o
ltag
e
r
eg
u
latio
n
,
i
n
s
ta
n
ta
n
eo
u
s
f
ee
d
b
ac
k
c
o
n
tr
o
l
tech
n
iq
u
e
is
co
n
s
id
er
ed
f
o
r
t
h
e
m
u
ltip
u
l
s
e
-
s
tr
u
ct
u
r
e
b
ased
co
n
v
er
ter
s
.
First,
t
h
e
co
n
v
er
ter
m
o
d
el
in
ab
c
-
f
r
a
m
e
is
in
tr
o
d
u
ce
d
;
in
cl
u
d
in
g
th
e
f
ilter
s
y
s
te
m
b
o
th
A
C
a
n
d
DC
s
id
e
o
f
th
e
s
y
s
te
m
.
Seco
n
d
,
th
e
m
o
d
el
is
co
n
v
er
ted
to
dq
-
f
r
a
m
e
f
o
r
th
e
co
n
v
e
n
ie
n
c
e
o
f
th
e
d
esi
g
n
o
f
t
h
e
co
n
tr
o
ller
.
T
h
en
,
th
e
co
n
tr
o
l
m
o
d
el
is
o
b
tain
ed
.
Af
ter
ad
o
p
tin
g
th
e
p
h
ase
d
ela
y
co
m
p
e
n
s
atio
n
an
d
d
ec
o
u
p
lin
g
c
o
n
tr
o
l,
th
e
co
n
tr
o
l
m
o
d
el
(
s
t
ate
s
p
ac
e
m
o
d
el)
is
s
i
m
p
li
f
ied
an
d
t
h
e
co
n
tr
o
ller
p
ar
a
m
eter
s
ca
n
b
e
o
p
ti
m
ized
f
o
r
d
y
n
a
m
ic
p
er
f
o
r
m
an
ce
a
n
d
s
y
s
te
m
s
tab
ilizatio
n
.
2.
M
UL
T
I
-
P
UL
S
E
CO
NV
E
RT
E
R
T
O
P
O
L
O
G
I
E
S
I
n
t
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
,
a
n
e
w
g
lo
b
al
s
ea
r
c
h
p
atter
n
an
d
a
n
o
v
el
C
r
o
s
s
-
Dia
g
o
n
al
-
He
x
ag
o
n
lo
ca
l
s
ea
r
ch
p
atter
n
i
s
in
tr
o
d
u
ce
d
.
T
h
e
m
a
in
ad
v
a
n
ta
g
e
o
f
p
r
o
p
o
s
ed
alg
o
r
ith
m
is
t
h
at
f
in
d
i
n
g
th
e
b
est
m
o
tio
n
v
ec
to
r
in
les
s
n
u
m
b
er
o
f
s
ea
r
c
h
-
p
o
i
n
ts
w
h
ic
h
in
t
u
r
n
r
ed
u
ce
s
th
e
co
m
p
le
x
it
y
o
f
R
D
co
s
t
ca
lc
u
latio
n
.
D
u
e
to
th
i
s
ad
v
an
ta
g
es
,
t
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
i
s
m
o
r
e
s
u
i
ta
b
le
f
o
r
r
ea
l
ti
m
e
ap
p
licatio
n
s
.
I
n
t
h
e
g
l
o
b
al
s
ea
r
ch
,
a
lar
g
e
cr
o
s
s
s
ea
r
ch
f
o
llo
w
ed
b
y
a
Mu
lti
-
Hal
f
-
He
x
ag
o
n
-
Gr
id
s
ea
r
ch
is
u
s
ed
.
Si
n
ce
th
e
m
i
n
i
m
u
m
S
AD
p
o
s
itio
n
o
b
tain
ed
f
r
o
m
lar
g
e
cr
o
s
s
s
ea
r
ch
g
iv
e
s
t
h
e
s
ea
r
ch
d
ir
ec
tio
n
o
f
f
i
n
al
m
o
tio
n
v
ec
to
r
,
ad
o
p
tin
g
a
M
u
lt
i
-
Half
-
Hex
a
g
o
n
-
Gr
id
s
ea
r
ch
w
il
l
s
ea
r
ch
th
e
m
o
tio
n
v
ec
to
r
in
t
h
at
d
ir
ec
tio
n
.
T
h
is
av
o
id
s
t
h
e
u
n
w
a
n
ted
s
ea
r
ch
e
s
in
al
l
d
ir
ec
tio
n
.
I
n
th
i
s
s
ec
tio
n
,
a
b
r
ief
r
ev
ie
w
o
f
th
e
m
u
lti
-
p
u
ls
e
c
o
n
v
er
ter
tech
n
o
lo
g
ie
s
is
p
r
ese
n
ted
f
o
r
1
2
n
s
er
ies
,
w
h
er
e
n
r
an
g
es
f
r
o
m
1
to
4
.
2
.
1
.
12
-
P
uls
e
Co
nv
er
t
er
B
asicall
y
,
p
u
l
s
e
co
n
v
er
ter
s
ar
e
u
s
ed
to
co
n
v
er
t
th
e
AC
v
o
lt
ag
e
p
r
esen
t
i
n
t
h
e
p
o
w
er
s
y
s
t
e
m
to
DC
v
o
ltag
e
a
n
d
it
m
i
g
h
t
ac
t
r
ev
er
s
e
also
,
w
h
ic
h
is
u
s
ed
f
o
r
HVDC
tr
an
s
m
i
s
s
io
n
s
y
s
te
m
.
T
h
e
p
r
im
ar
y
s
id
e
o
f
th
e
tr
an
s
f
o
r
m
er
is
co
n
n
ec
ted
in
d
elta
f
o
r
m
a
n
d
th
e
s
ec
o
n
d
ar
y
s
id
e
in
zig
za
g
f
o
r
m
.
I
n
a
th
r
ee
p
h
ase
r
ec
tif
ier
,
t
h
e
n
u
m
b
er
s
o
f
s
w
itc
h
es
ar
e
6
an
d
ea
ch
s
w
itc
h
w
il
l
b
e
tu
r
n
ed
o
n
at
ea
ch
6
0
°
p
h
a
s
e
d
ela
y
i
n
o
r
d
er
to
av
o
id
th
e
s
h
o
r
t
cir
cu
it
b
et
w
ee
n
th
e
s
w
i
tch
es
i
n
th
e
r
ec
ti
f
ier
cir
cu
it.
A
lp
h
a
d
eg
r
ee
(
α
°)
is
g
i
v
e
n
t
o
th
e
co
n
v
er
ter
to
in
cr
ea
s
e
o
r
d
ec
r
ea
s
e
th
e
o
u
t
p
u
t
v
o
lta
g
e.
T
h
e
eq
u
iv
ale
n
t
tr
an
s
f
er
r
atio
o
f
th
e
p
h
a
s
e
-
s
h
i
f
t
t
r
an
s
f
o
r
m
er
is
ass
u
m
ed
to
b
e
1
.
C
o
m
i
n
g
to
1
2
-
p
u
ls
e
co
n
v
er
ter
,
t
w
o
6
-
p
u
l
s
e
co
n
v
er
ter
s
co
u
ld
b
e
ad
d
ed
i
n
s
er
ies
co
n
n
ec
tio
n
to
f
o
r
m
t
h
e
s
a
m
e.
On
ce
th
e
s
er
ies
co
n
n
ec
tio
n
i
s
m
ad
e,
a
p
h
ase
d
ela
y
is
r
eq
u
ir
ed
b
et
w
ee
n
t
h
e
t
w
o
6
-
p
u
ls
e
co
n
v
er
ter
s
co
n
n
ec
ted
in
s
er
ies.
T
h
e
d
elay
f
o
r
t
w
o
s
i
x
-
p
u
ls
e
c
o
n
v
er
ter
is
3
0
°.
2
.
2
.
24
-
P
uls
e
Co
nv
er
t
er
T
h
is
t
y
p
e
o
f
co
n
v
er
ter
r
eq
u
i
r
es
th
e
co
n
n
ec
tio
n
o
f
f
o
u
r
6
-
p
u
l
s
e
co
n
v
er
ter
in
s
er
ies.
P
h
ase
a
n
g
le
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8
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8
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IJ
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Vo
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7
,
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4
,
Dec
em
b
er
2
0
1
6
:
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4
0
2
–
1
4
0
9
1406
b
et
w
ee
n
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ch
s
w
itc
h
h
a
s
g
o
t
a
1
5
°
d
elay
(
i.e
.
,
6
0
°/
n
)
.
A
l
s
o
,
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ch
zig
za
g
tr
an
s
f
o
r
m
er
h
as
g
o
t
a
1
5
°
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ela
y
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ch
.
2
.
3
.
36
-
P
uls
e
Co
nv
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t
er
A
3
6
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p
u
ls
e
co
n
v
er
ter
h
a
s
th
r
ee
g
o
t 1
2
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p
u
ls
e
co
n
v
er
ter
co
n
n
e
cted
in
s
er
ies,
ea
c
h
s
w
itc
h
h
as
1
0
° p
h
ase
s
h
i
f
t e
ac
h
.
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,
th
e
cir
cu
i
t h
as
f
o
u
r
zig
-
za
g
tr
a
n
s
f
o
r
m
er
s
w
h
ic
h
h
a
s
th
e
d
e
la
y
in
p
h
a
s
e
an
g
le
o
f
1
0
° ea
ch
.
2
.
4
.
48
-
P
uls
e
Co
nv
er
t
er
T
h
e
s
ch
e
m
at
ic
d
iag
r
a
m
(
b
l
o
ck
-
d
ia
g
r
a
m
)
f
o
r
a
4
8
-
p
u
l
s
e
co
n
v
er
ter
w
ith
tr
a
n
s
f
o
r
m
er
r
ec
tif
ier
co
n
n
ec
tio
n
h
as
g
o
t
ei
g
h
t
6
-
p
u
l
s
e
co
n
v
er
ter
s
co
n
n
ec
ted
i
n
s
er
ies
as
s
h
o
w
n
in
t
h
e
Fi
g
u
r
e
5
,
ea
ch
s
w
itc
h
h
av
i
n
g
a
7
.
5
°
p
h
ase
s
h
i
f
t.
So
,
th
e
cir
cu
it
h
a
s
f
o
u
r
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za
g
tr
an
s
f
o
r
m
er
s
w
h
ich
h
av
e
t
h
e
d
ela
y
in
p
h
ase
an
g
le
o
f
7
.
5
°
ac
r
o
s
s
ea
ch
s
w
i
tch
.
T
h
e
Si
m
u
l
in
k
’
s
s
i
m
u
latio
n
d
ia
g
r
a
m
o
f
th
e
4
8
-
p
u
ls
e
co
n
v
er
ter
is
s
h
o
w
n
in
Fi
g
u
r
e
5
Fig
u
r
e
1
.
A
4
8
-
p
u
l
s
e
co
n
v
er
te
r
Si
m
u
li
n
k
d
ia
g
r
a
m
u
s
ed
f
o
r
s
i
m
u
latio
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2
.
5
.
Resul
t
s
a
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Co
m
pa
ri
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Fo
u
r
Si
m
u
li
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k
m
o
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w
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d
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p
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f
o
r
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2
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ies
co
n
v
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ter
s
.
T
h
e
s
i
m
u
latio
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s
w
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r
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n
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r
a
p
ar
ticu
lar
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m
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t o
f
t
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m
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p
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i
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d
w
ith
a
3
KW
in
d
u
cti
v
e
lo
ad
.
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h
e
v
o
ltag
e
a
n
d
cu
r
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en
t
w
a
v
ef
o
r
m
s
f
o
r
th
e
12n
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er
ies
co
n
v
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ter
s
w
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o
b
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v
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d
.
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h
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p
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1
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J.
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S
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Bu
sq
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2
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Di
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G
re
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A
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ter t
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