How do I analyse a SEPIC circuit?

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To analyze a SEPIC circuit, it's essential to understand that it involves capacitors, resistors, diodes, and inductors, requiring a different approach than circuits with only one type of component. The analysis should focus on the two phases of the switch operation: when the switch is closed and when it is open, using the initial conditions from the closed state for the open state. The equations for the circuit can be derived from the principles of switched circuits, as they do not yield a straightforward DC solution. Resources such as application notes from Maxim and Texas Instruments provide valuable insights and methodologies for this analysis. Utilizing these references and supplementary materials like YouTube videos can enhance understanding and design capabilities for specific requirements.
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Very simple question. The following circuit (I want to build one with my specs): https://en.wikipedia.org/wiki/Single-ended_primary-inductor_converter

How do I analyse it?

What I mean is that if a circuit has only capacitors, I use this. If it has only resistors, I use Ohm s Law, or Kirchhoff Laws. If it has capacitors and resistors I use the RC model.

Now, this one has capacitors, resistors, diodes, and inductors... what set of equations can I use to analyse it and design one to my needs?
 
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And inductor isn't that much different from a capacitor in circuit analysis equations, it just has a different impedance, sL instead of 1/sC like a capacitor.

This is a switched circuit so it doesn't have a useful DC solution. You'll have to write out the equations for the two phases (when S1 is closed and when it is open). Use the solution of S1 closed as the initial condition of the case when S1 is open.

It looks like Maxim has an app note that explains it:
http://www.maximintegrated.com/app-notes/index.mvp/id/1051
 
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