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logic of L_critical and L_ripple in buck converter

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yef smith

Joined Aug 2, 2020
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Hello, In the following manual lectures 3 and 4 there is the L critical and Lripple.
There are the inductor current plot.
few questions:
1.what is the mathematical intuition behind L ripple?
2.What is the mathematical intuition behind L critical?
3.why they say that we need to choose and inductor that is bigger then both of them?
I know that one ensures we are at CCM but what does it give us that L>Lripple?
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