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1. For a buck-boost converter, the input voltage is V in , the output average cu

ID: 1846493 • Letter: 1

Question

1.     For a buck-boost converter, the input voltage is Vin , the output average current is Io , the output voltage is Vo. Switching frequency is  f and duty cycle is d. The output capacitance is C.  Derive the steady-state capacitor ripple voltage.

(Hint: When the switch is on, the output capacitor supplies the load current for the entire on-time interval. During the off-time interval, the output capacitor is charged by the stored energy in the inductor. For steady-state operation, the average capacitor charging current during the off-time interval must be equal to the average capacitor discharging current during the on-time interval. The ripple capacitor voltage can be found by integrating the average capacitor discharging current during the on-time interval.)

Explanation / Answer

ftp://ftp.elet.polimi.it/users/Massimo.Ghioni/Power%20Electronics%20/DC-DC%20converters/buck-boost/Buck-Boost%20and%20Flyback%20Converter.pdf