A buck converter with and oper

A buck converter with   and operated at the switching frequency

a. Calculate the nominal duty cycle D (take into account the parasitic resistance). (Answer: 0.5025.)

b. Calculate the values of the poles of the open-loop small-signal transfer functions in two cases: (i) when taking into account the parasitic resistances; (ii) when neglecting L and C. Calculate 0 (angular corner frequency) and (damping ratio) when neglecting the parasitic resistances

c. Calculate the zeros of the open-loop small-signal transfer functions and output impedance out (s) in two cases: (i) when taking into account the parasitic resistances; (ii) when neglecting L and C

d. Draw the Bode plots of

(ii) D = 0.5; discuss how the magnitude of each transfer function behaves when D increases. For a buck converter, which parameters do not change with the variation of D?

(Answers: magnitudes of vg(s) and ig(s) increase, of in(s) decreases, the rest of the parameters constant.)

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