Volt-Sec-balance and Capacitor-Charge-balance

Question

I have a problem to get to an conclusion with the VS- or CC-balance.

I know that the voltage over an inductor in an switched topology behaves in an stationary state like this:

So the voltage-average over one period is equal to zero.
It follows that the current-average over one period is constant.

How do i get to that conclusion? (I have the same question for the CC-balance for the behavior of the current and voltage of the capacitance)

Andy aka · Answer

So the Voltage-average over one period is equal to Zero. It follows
  that the Current-average over one period is constant.

For an inductor $V = Ldfrac{di}{dt}$.

And a simple outcome of this is that there can be no change in current if the voltage is zero.

Put differently, if the average voltage over a certain time period is zero then the current at the start of that period must be the same as the current at the end of that period.

I have the same question for the CC-Balance for the behaviour of the
  Current and Voltage of the Capacitance

You need to unambiguously state the relationship you are trying to understand just like you did for the inductor (at the top of this answer).

Volt-Sec-balance and Capacitor-Charge-balance

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