(Solved): Consider a BOOST (step-up) converter in steady state below, with all components assumed to be idea ...

Consider a BOOST (step-up) converter in steady state below, with all components assumed to be ideal. The output voltage is $V_o=50\mathrm{V}$ (regulated, fixed) and feeds a $500\mathrm{W}$ load, and $f_{sw}=50\mathrm{kHz}$. The input voltage can vary between $20\mathrm{V}$ to $40\mathrm{V}$. Only consider continuous conduction mode. 1) Determine the average capacitor voltage and current at each of the minimum and maximum input voltages. 2) Determine the average inductor voltage and current at each of the minimum and maximum input voltages. 3) Determine the switch S1 duty cycle at each of the minimum and maximum input voltages. 4) Determine the induction $L$ to give a maximum inductor ripple current of $100\mathrm{mA}$ peak-b-peak. 5) Determine the capacitance $C$ required so that the output ripple voltage does not exceed $1\mathrm{V}$ peakt-peak. In the converter below, given the same $L$ and $C$ as in (4) and (5) from above and assume the input voltage $V_g=20\mathrm{V}$, $L_1=L_2=L$ and $C_1=C_2=C$. The switching frequency and load resistance are the same as in Question 1 , and the duty cycle is 0.6 . 6) Determine the voltage conversion ratio $M(D)=V_2/V_g$, average inductor currents $I_1$ and $I_2$, average p-p capacitor voltage $V_1$ and the peak-to-peak ripples of inductor currents $?i_1^{\mathrm{p}?\mathrm{p}}$ and $?i_2$ and capacitor voltage $?v_1^{\mathrm{p}?\mathrm{p}}$. 7) State the main differences between this converter and the converter in above.