
365AC–DC–AC Converters
diode current for/
forthe rest of th
dc
=
=
IT13
e cycle
Therefore
nd
diode avg
dc
dc
di
I
I
TT
T
I
I
()
=
×+×
=
3
0
2
3
3
oode rms
dc
dc
dc
.
()
=
+
=
⋅
=
I
TT
T
I
T
T
I
22
2
3
0
2
3
3
3
The quantity in the first square root sign above is the mean of the square over
period T of the cycle.
The rectied output voltage has six pulses as shown in Figure 14.5. With a ring
delay angle of α, the average V
dc
value is given by
VV
L
IE
dc LLrms
ac
dc dc dc
=−=+
32 3
α
ω
cos . (14.15)
Again, V
dc
is controlled by controlling α, and if α > 90°, cos α becomes negative,
making I
dc
negative. The three-phase rectier then becomes a three-phase inverter,
taking power from the dc si ...