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Discontinuous Mode Analysis of Boost Regulator

A boost conve...

Question

A boost converter has an input voltage of $V_{S} = 5 V$ . The average output voltage $V_{0} = 15 V$ and the average load current $I_{0} = 0.5 A$ . The switching frequency is 25 kHz. If $L = 150 μ H a n d C = 220 μ F$ , then the peak inductor current will be ___________A

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Solution

$P e a k i n d u c t o r c u r r e n t, I_{2} = I_{s} + \frac{Δ I}{2}$
$Δ I = \frac{k V_{s}}{f L} = \frac{V_{s} (V_{0} - V_{s})}{f L V_{0}}$
$V_{0} = \frac{V_{s}}{(a - k)}$
$k = 1 - \frac{5}{15} = \frac{2}{3}$
$Δ I = \frac{2}{3} \times \frac{5}{25 \times 10^{3} \times 150 \times 10^{- 6}} = 0.80 A$
$I_{s} = \frac{0.5}{(1 - \frac{2}{3})} = 1.5 A$
$I_{2} = I_{S} + \frac{Δ I}{2} = 1.5 + \frac{0.89}{2} = 1.945 A$

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