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Dennis Feucht

Seemingly Simple Circuits, Part 3: Converter Waveforms

Dennis Feucht
D Feucht
D Feucht
2/2/2015 6:24:35 PM
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Blogger
Re: Equation of Inductor Current
DaeJ,

The problem might simply be the tiny type of the subscripts, where it is hard to distinguish a lower-case l from a lower-case i. The equation you are probably referring to begins with i subl (not i) of k. If so, then this equation follows from the one for i sub L of k by taking the derivative of it. The last term is constant in i sub L(k) and disappears from the differentiated result which is the incremental i sub l (k).

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DaeJ
DaeJ
2/2/2015 11:04:17 AM
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Master
Equation of Inductor Current
Based on the figure, the below equation is obtained by simply linear equation. iL = iL(k-1) + mu (t/Ts), iL = iL(k-1) - md(t/Ts) + P, where P could be point of intersection in Y coodinate (iL). I am curious how the first equations were derived in the blog. To obtain ii(k), we might need to know point of intersection in X coordinate (t/Ts) corresponding to ii (k) during cycle (k).   

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