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I am trying to find a reference where a boost converter is controlled in discontinuous conduction mode (DCM) with constant duty cycle and by changing the frequency of operation. More specifically, I wonder how the transfer function of the inductor current to the switching frequency can be derived.

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    \$\begingroup\$ What is your question? \$\endgroup\$ – Andy aka Feb 15 at 12:29
  • \$\begingroup\$ Hey Andy, I thought the question was clear but apparently it wasn't... I was able to model a boost converter in CCM using circuit averaging. For DCM, the output voltage is a function of load, switching frequency and duty cycle (maybe even more things but I suppose those are the most interesting ones). I am looking for a method to derive the transfer function from inductor current to switching frequency but I have no clue on the methodology how to derive this... \$\endgroup\$ – Simon R Feb 17 at 22:21
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Page 24 of https://www.ti.com/seclit/ug/slyu036/slyu036.pdf Goes through DCM equations for Boost converters should help with deriving an inductor current transfer function

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