Tuesday, March 1, 2011

DCM waveform levels for the buck-boost converter (fig. 11.3)

Hello everyone,
In fig. 11.3, the buck-boost converter DCM waveform levels are shown in terms of instantaneous values of vg and v....but shouldn't they be written in terms of their average values ,vg> and ?
For example, v2(t) waveform level during interval d1Ts is shown to be vg-v. But shouldn't it be - ? Similarly, the vL(t) voltage level during d1Ts is shown as vg. It appears to me that it should be shown as .....and so on, for the rest of the levels. If representing only in terms of vg and v, the implicit assumption is that they are constants.
Also, eqn. 11.1 should be written as ipk = d1.Ts/L instead of vg.d1.Ts/L.
I would appreciate any comments.
Regards,
Nitish Agrawal

2 comments:

  1. Apparently all the triangular bracketed terms in my post disappeared for some reason...so I will use curly brackets (please read those to represent average values). Here it is again:
    In fig. 11.3, the buck-boost converter DCM waveform levels are shown in terms of instantaneous values of vg and v....but shouldn't they be written in terms of their average values {vg} and {v}?
    For example, v2(t) waveform level during interval d1Ts is shown to be vg-v. But shouldn't it be {vg}-{v} ?
    Similarly, the vL(t) voltage level during d1Ts is shown as vg. It appears to me that it should be shown as {vg}.....and so on, for the rest of the levels. If representing only in terms of vg and v, the implicit assumption is that they are constants, which is untrue.
    Also, eqn. 11.1 should be written as ipk = {vg}d1.Ts/L instead of vg.d1.Ts/L.
    I would appreciate any comments.
    Regards,
    Nitish Agrawal

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  2. As an example: the slope of inductor current iL during d1*Ts is equal to vg(t)/L at time t during this interval. So, there is nothing wrong with Fig.11.3. Of course, vg and v do not change much over a switching period, so the difference between vg and {vg} or v and {v} is insignificant, which is how the waveforms are shown (as straight lines, with constant slopes).

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