
12-16 Power Electronics and Motor Drives
which, for i
in
> 0, is similar to Equation 12.29. Replacing (12.37) into (12.36d) yields
v V
V
R C
t
0 0
0
0 0
2 2
2
2
= − −
cos( / )
sin
γ
ω
γ
(
12.38)
e voltage ripple is then deduced as
ρ
γ
0
0
0 0 0
1
2
= =
∆v
V R C cos( / )
(
12.39)
and,
i
f
ρ
0,max
is the maximum admissible value for the voltage ripple, the value of the DC capacitors
s
hould satisfy
C
R
0
0 0
1
2
>
ρ γ
,max
cos( / )
(12.40)
12.4 Design and Average Modeling
of the Three-Phase/Switch/Level Rectier
In this section, a simple mathematical model of the three-phase, three-switch, three-level, xed-
frequency PWM rectier (or more simply the Vienna rectier) operat ...