
13-6 Power Electronics and Motor Drives
case switch S
n1
and D
n1
constitute a short circuit and S
p1
and D
p1
are equivalent to an open circuit, third-,
a
nd fourth-quadrant operations are accomplished.
Since the converters are ideally lossless, the current ratio for all congurations is I
2
/I
1
= V
2
/V
1
.
13.4 Output Voltage Sourced Converters
In what follows, it will be assumed that L and C are large enough to eliminate switching frequency com-
ponents
f
rom
t
he
t
erminal
v
ariables
v
1
, i
1
and v
2
, i
2
. Furthermore, the relation between the average input
a
nd
o
utput
v
oltage
c
an
b
e
d
erived
b
y
u
sing
t
he
si
mple
f
act
t
hat
t
he
t
ime
i
ntegral
o
f
t
he
i
nductor
v