For a boost dc-to-dc converter, its input and output voltages are Vi & Vo.
Also, the duty ratio switching period is D&Ts.
R,L,C denote the resistor inductor and capacitor in the boost converter.
1) Derive the input-output voltage relationship in a continuous conduction mode.
2) Derive the minimum inductance for the continuous conduction mode.
3) Derive the critical inductance where the discontinuous conduction mode starts.
4) Derive the critical inductance for the critical conduction mode.