# Buck-Boost Converter Problem

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1. Oct 30, 2016

### Captain1024

1. The problem statement, all variables and given/known data

2. Relevant equations
Switching Frequency $f_s=\frac{1}{T_s}$
$K=\frac{2L}{RT_s}$, $K_{CR}=(D')^2$
$R=\frac{V_o^2}{P_L}$
In CCM: $D'=(1-D)$, $D'=\frac{-DV_{IN}}{V_O}$
In DCM: $D_2=\sqrt{K}$, $\frac{V_O}{V_{IN}}=\frac{-D_1D_2R}{2Lf_s}$

3. The attempt at a solution
See attached .pdf for my work. Everything makes sense until I get a value greater than 1 for $D_2$. (Where $D_2$ is the second region of a full period. In DCM regions 1 and 2, either diode or transistor are conducting. In region 3 neither diode or transistor is conducting and diode current is 0.)

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2. Nov 5, 2016