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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”. i. i. in. d. +. –. V. V. i. i. L. C. in. out. C. L. –. +. I. out. Practice Problem. i. i. in. d. +. !. –. V.
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Practice Problem The periodic waveform shown is applied to a 100Ω resistor. What value of αyields 50W average power to the resistor? α is the “duty cycle”
i i in d + – V V i i L C in out C L – + I out Practice Problem
i i in d + ! – V V i i L C in out C L – + I out Practice Problem Hint #1: This is a buck-boost converter Hint #2: Pin = Pout Pin = DVin IL = VinIin Pout = Vout Iout Hint #3: IC = 0 Iout = (1-D)IL iin IL Vin DT t Since the input voltage is constant only the dc component of iin contributes to Pin