Hmm... I think that the general concept might work, but I'm curious to see the switch that would do the trick 'in real life'.
I've never seen a mechanical switch that would work, considering the number of poles and the amount of current handling that would be necessary. I suppose you could build one, but if
I had to build one, it would be about half the size of the bike.
Unless I'm missing something (which is quite possible..... I start getting confused at anything more complicated than a DPDT switch wiring.)
You could do it with solid state relay switches, in about the size of a shoebox (
which is still too big for a bike/scooter), but that would be rather expensive even if you found a good surplus source.
Scanning back through earlier pages, you mentioned using MOSFETS for switching ; I don't know enough about them to comment; did you get any more solid info on how that would work? I think you could do it with reasonably priced SCRs, but wiring would be a rats nest, Even if you could use printed circuits as much as possible, I think.
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SOME of those cheaper, beefy regulated power supplies have (or at least the older ones had) an adjustment screw that would allow you at least 10%
+, and I had an old 48V one that would adjust up to 20% up or down, so it MIGHT be possible to find a 5V one that wouldn't require modification to put out 4.1V or 4.2 V. I'm not sure how well the regulation works when adjusted toward the nether limits though.
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On a related note, I have made some progress with my home built sub $100 battery tab welder projects.
The AC one wasn't a complete failure, but I wouldn't want to try it on ANY size Lithium battery, or anything smaller than a D cell in NiMH... although it does weld tabs on the D cell sized batteries with slightly less abuse than soldering. The one old LiIon 20500 battery I tried it on didn't explode or anything, but it will never be safe to have around the house again.
The capacitive discharge welder shows surprisingly good results sometimes on any of a variety of cells, but occasionally doesn't make a good solid weld. I just bought a few different components off eBay to see if I can tweak it into more consistent and slightly deeper welds before I write it up and make it public. But it is definitely 'doable' for around a hundred $ and can be made into something fairly elegant if not pretty enough to sell commercially, for about twice that.