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```Substitute (9.18) into (9.17), (9.19) is achieved.
Cs =
8Vac I ac
(9.19)
ÏVdc 2
Therefore, the per unit value of the dc link capacitor for the traditional H-bridge inverter with
a bidirectional buck-boost converter is about 4, as shown in (9.20).
8Vac I ac
C p.u. =
C
Cbase
=
ÏVdc 2
I ac
ÏVac
=
8Vac 2
Vdc 2
=4
(9.20)
Please note that, ideally, the auxiliary circuit can completely transfer the 2Ï ripple energy
from the dc link capacitor to the auxiliary capacitor. That is to say, the dc link capacitance can be
ignored (very small) for ideal case, and thatâs why only the auxiliary capacitance is calculated
here in order to compare with the traditional H-bridge inverterâs main dc link capacitance.
C. Traditional H-Bridge Inverter with Another Bidirectional Buck/Boost Converter
This topology [76] is similar to the previous one [75], in the sense that both of them are
adding a complete buck/boost converter to the dc bus, performing as an active filter. Similarly,
the auxiliary capacitor has a dc offset. Therefore, the utilization of its energy storage is not fully.
In addition, due to the different configuration comparing with the previous topology, this
topologyâs auxiliary capacitor has a voltage that is higher than the dc bus voltage, while the
previous one has a voltage that is smaller than the dc bus voltage. The high capacitor voltage
forms a killing factor for grid applications, since the grid voltage has already been really high. It
will be really challenging if the capacitor voltage is twice as much as the grid voltage. In spite of
these disadvantages under our special application, this is still a valid topology. Therefore,
144
```
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