Hi all, this is my first post to this forum.
I have been deriving the operation of ideal buck and boost converters using Fundamentals of Power Electronics by Erickson and Maksimovic and have a few questions.
For reference, here are links to pictures of the ideal circuits.
Buck converter:
http://www.mathworks.com/matlabcentral/fx_files/18833/3/content/html/buck.png
Boost converter:
http://www.mathworks.com/matlabcentral/fx_files/18833/3/content/html/boost.png
For either the ideal buck or boost, when you solve for the output voltage how do you know that the DC component will be the same when the switch is open and when the switch is closed? Is it held at the same voltage in either stage by the cap?
What I mean is that if I call the DC output voltage V1 during the switch open phase and V2 during the switch closed phase, how do I mathematically prove that V1 = V2 in one complete switching cycle?
I guess this also leads into the question of how does one know the inductor current/capacitor voltage will eventually enter a steady state?
Thanks! Any help is much appreciated!
I have been deriving the operation of ideal buck and boost converters using Fundamentals of Power Electronics by Erickson and Maksimovic and have a few questions.
For reference, here are links to pictures of the ideal circuits.
Buck converter:
http://www.mathworks.com/matlabcentral/fx_files/18833/3/content/html/buck.png
Boost converter:
http://www.mathworks.com/matlabcentral/fx_files/18833/3/content/html/boost.png
For either the ideal buck or boost, when you solve for the output voltage how do you know that the DC component will be the same when the switch is open and when the switch is closed? Is it held at the same voltage in either stage by the cap?
What I mean is that if I call the DC output voltage V1 during the switch open phase and V2 during the switch closed phase, how do I mathematically prove that V1 = V2 in one complete switching cycle?
I guess this also leads into the question of how does one know the inductor current/capacitor voltage will eventually enter a steady state?
Thanks! Any help is much appreciated!