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EE462L, Power Electronics, DC-DC Boost Converter Version ... - ECS

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<strong>EE462L</strong>, <strong>Power</strong> <strong>Electronics</strong>, <strong>DC</strong>-<strong>DC</strong> <strong>Boost</strong> <strong>Converter</strong><br />

<strong>Version</strong> Oct. 3, 2011<br />

Lboundary<br />

VinD<br />

= . (9)<br />

2Iin<br />

f<br />

Because the maximum value of D is 1, then<br />

Vin<br />

L > . (10)<br />

2Iin<br />

f<br />

will guarantee continuous conduction for all D. Note in (9) and (10) that continuous conduction<br />

can be achieved more easily when I out and f are large.<br />

Discontinuous Conduction<br />

At low load, the converter may slip into the discontinuous conduction mode. Referring back to<br />

Figure 2b, this occurs when the inductor current coasts to zero. At that moment, the capacitor<br />

attempts to reverse i L and “backfeed” the inductor, but the diode prevents current reversal. Thus,<br />

the diode opens, and the circuit assumes the topology shown in Figure 6 until the switch closes<br />

again. During this third state, all load power is provided by the capacitor.<br />

+ 0 –<br />

0<br />

I out<br />

V in<br />

L<br />

C<br />

+<br />

V out<br />

–<br />

Figure 6. Third State for Discontinuous Conduction<br />

Once discontinuous, the voltage across the inductor is zero. The corresponding voltage<br />

waveform is shown in Figure 7.<br />

V in<br />

Discontinuous<br />

Vin − V out<br />

0<br />

Figure 7. Inductor Voltage in Discontinuous Conduction<br />

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