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Design and Implementation of On-board Electrical Power ... - OUFTI-1

Design and Implementation of On-board Electrical Power ... - OUFTI-1

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Figure 5.4: <strong>Power</strong> stage <strong>of</strong> a boost converter.∆i L,1 = V inDT s. (5.14)LIn the phase 2, the magnetic energy <strong>of</strong> the inductor is released. The voltage across theinductor is inverted. V s = V in + v L <strong>and</strong> V out = V s . As a result, C is charged at a voltagehigher than V i n. The current in the inductor i L is decreasing <strong>and</strong> the variation over the phase2 is∆i L,2 = (V in − V out )D ′ T s. (5.15)LIn steady-state (Fig. 5.5), the net variation <strong>of</strong> i L equals zero.Figure 5.5: Evolution <strong>of</strong> voltages <strong>and</strong> currents in a boost converter (from Wikipedia).As a consequence, from Eq. 5.14 <strong>and</strong> Eq. 5.15, we have53

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