- #1
Captain1024
- 45
- 2
Homework Statement
Image Link
Homework 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}##
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.)