# IGBT Modules - Technologies, Driver and Application (Second Edition) - page 497

485
ϕ ⋅
=
cos
I
U3 P
el
Eq. 13.38
The peak output voltageof the inverter is:
U
3
2
=
Eq. 13.39
and also
DC
Um
2
1 Uˆ
⋅ ⋅ =
Eq. 13.40
m is the modulation factor. Thus, the RMS value of the load voltage U
can be
defined as:
DC
Um
2 2
3
U
⋅ ⋅
=
Eq. 13.41
13.13.3 DC-bus
For the power P
DC
of the DC-bus the following applies, considering the efficiency
η
Inv
of
the output inverter:
Inv
el
DC
P P
η
=
Eq. 13.42
For theDC-bus current I
DC
this results in
Inv
DC
Inv
DC DC
I
cos m
2 2
3
I
cos
U3
I U
η
ϕ ⋅
= ⇒
η
ϕ ⋅
= ⋅
Eq. 13.43
or when the equations of the input rectifier are inserted
Inv
Grid ,LL
DC
I
U
cos
U
2 3
3
I
η⋅
ϕ ⋅
⋅π
=
Eq. 13.44
13.14 References
1. P.F. Brosch, "Frequenzumrichter: Prinzip, Aufbau und Einsatz ", Verlag Moderne
Industrie, 4
th
Edition 2000
2. Fraunhofer IISB, "ParasitäreBauelemente undOszillationen", peak-Seminar 2004
3. B. Backlund, M. Rahimo, S. Klaka, J. Siefken, "Topologies, voltage ratings and
state of the art high power semiconductor devices for medium voltage wind energy
conversion", PEMWA 2009
4. Cornell Dubilier, "Aluminium Electrolytic Capacitors", Cornell Dubilier Application
Note 2006
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