1 Practice Problem The periodic waveform shown is applied to a 100Ω resistor. What value of α yields 50W average power to the resistor? α is the “duty.

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Presentation transcript:

1 Practice Problem The periodic waveform shown is applied to a 100Ω resistor. What value of α yields 50W average power to the resistor? α is the “duty cycle”

2 + V in – – V out + i L L C i C I i d i in Practice Problem

3 + V in – – V out + i L L C i C I i d i in Practice Problem Hint #1: This is a buck-boost converter Hint #2: P in = P out P in = DV in I L = V in I in P out = V out I out Hint #3: I C = 0 I out = (1-D) I L i in ILIL V in DT Since the input voltage is constant only the dc component of i in contributes to Pin ! t

4 Practice Problem

5