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where Vac and I ac are the rms values of the ac side voltage and current (the so-called reactive
and harmonic component of the load current is in fact all the ac side current here for the reactive
power compensation application), and VCs _ pk and Vdc are the peak voltage and average voltage
of the auxiliary capacitor respectively.
It can be easily noticed that the auxiliary capacitor is essentially still a dc capacitor, which
needs to maintain a smooth dc bus voltage for the normal operation of the auxiliary inverter.
Since the ac side 2ω power ripple flows to the auxiliary inverter instead of the main inverter, the
main dc capacitor can be kept small. Instead, the auxiliary capacitor is huge, and has to take all
the reactive ripples. Essentially, it uses a big auxiliary dc capacitor to substitute the big main dc
capacitor. Theoretically, there is no change in the total dc capacitor size [71]. This can be double
checked from (9.23), because the peak and the average is always kept small for the safe
operation of the auxiliary inverter, for example 5%. Therefore, the denominator is very small,
leading to a relatively big capacitance.
Vac I ac
ω (VCs _ pk 2 − Vdc 2 )
Cs
Vac 2
C p.u. =
=
=
= 40
I ac
Cbase
0.05Vdc 2
ωVac
148
(9.24)
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