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Just a quick correction: Inductors don't come in uF (microfarads). It's microhenries (uH.)
Dunce cap award on inductor values, uH not uf.
Actually the current **broken link removed** output cap is probably doing the job at 100khz. It was picked for a previous small switcher project based on the L4972A chip. It has a low esr 0.054Ω and ripple of 1.26A. For the previously mentioned Rubycon of 470uf/50V and 1000uf/50V the specs are .027Ω/2.05A and .021Ω/3.01A respectively.
As far as amps were concerned, was originally thinking a 10A input from solar. As it is, probably won't be getting any more solar power, so lets stick with the 4.4A for now. Not sure why I would need a current limit, the 12V lead acid battery will just stop accepting current, voltage goes up, and need to prevent over voltage. The blocking diode would protect from hooking up backwards.
The current ripple voltage "appears" to be around 100-150mv, and would seem acceptable. Possibly willing to go for less.
Hall sensor problem solved. AN7 wasn't working, so put it on AN1 of the PIC micro. This was a software problem.
Sounds like the consensus is to leave off the 5uH and 15uH inductors from the shopping list. Have added another 33uH, because they are cheap like me. Don't know where I will find the room on the board.
Thanks again for everyone's suggestions. Still need to update schematic and work on a charging algorithm.
Initial and rough power calculations had this around 85% efficient, does that sound right? Does it make sense to change this into a synchronous buck regulator?