2. Converter Analysis Figure 3 illustrates a SEPIC that interfaces a power source to a load. You may assume that this converter operates in the continuous conduction mode, and you

may ignore losses. (a) (15 points) Solve the converter in steady state, to find the dc components of each capacitor voltage and each inductor current. Your expressions should be functions of Vg,D, and R only. Clearly label the polarity or direction of each of these quantities on your schematic. (b) (10 points) Solve to find the peak-to-average current ripples in each inductor, and peak-to-average voltage ripples in each capacitor. \begin{aligned} &\text { This system operates with } V_{g}=17 \mathrm{~V}, R=20 \Omega, V=12 \mathrm{~V}, f_{s}=100 \mathrm{kHz}, L_{1}=400 \mu \mathrm{H}, L_{2}=400\\ &\mu H . \end{aligned} (c) (5 points) Compute the duty cycle D. (d) (5 points) Compute the peak transistor current.