Question

Problem 2.2 Using the same methods shown in lecture, mathematically derive: (a) The voltage conversion ratio equationwhen the Buck-Boost is operating in Discontinuous Conduction Mode (DCM). Your answer should be a function of D, Ro, T, and L (b) The value of the inductor discharge duty cycle coefficient; D1.Your answer should be a function of Ro, T, and L. Hint 1: Other than assessing the current waveforms, you will also need to apply the assumption of 100% efficiency from Problem 2.1, that is: Ps Po Hint 2: To calculate Ps, you will need to find the average of the input current is D2 01 D1 Vswz V sw Vs 0 02 Figure 2.2 Non-inverting Buck-Boost during inductor charging period (D × T). D2 01 D1 Vo Vswz SW1 Figure 2.3 Non-inverting Buck-Boost during inductor dis-charging period (Di x T). D2 01 Vswz SW1 Figure 2.4 Non-inverting Buck-Boost during discontinuous conduction period (1-D-D) × T).

Answer 1

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