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This work derives the closed-loop input and output impedances of three major types of DC-DC converters (Buck, Boost, and Buck-Boost) operating in voltage or current mode control. First, it introduces the small-signal converter model employed to derive the input and output impedances. Next, it reviews open-loop impedances for use in simplifying the expressions developed for closed-loop impedances. It then derives the closed-loop impedances by closing the voltage or current loop (depending on control method) in the converter model. Finally, The validity of the impedances thus derived is verified by simulation.
Ahmadi et al. (Mon,) studied this question.