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With a UP1350W (have to google it, I can't seem to find the manufacturer official website) which supports LiFe chemistry.Maybe it's just me, but I'm having a hard time understanding what you have going on here.
You are charging LFP cells with a LiPo charger? I'm not sure that's a supported procedure.
The configured voltages for LiFe look good.I can't find a manual for the UP1350W, but the description specifies an input voltage of 11-30V. What I understand from your OP is that you are feeding it with a 10 volt power supply. That could cause problems.
It also lists Lipo/LiFe/LiIon/LiHv all together which would make me wonder if the manufacturer considers LiFe as different than LiFePO4. I can't find any charging voltages listed so it's hard to tell.
The bottom line is you need to have the proper charging equipment.
That's not how a BMS works. The batteries are in series, the BMS can't just turn a cell "off" as that would mean the remaining pack voltage would be lower. When any given cell hits max volts, the BMS shuts the whole damn battery down. When any given cell hits minimum volts, the BMS shuts everything down. In the meantime, the BMS is seeping current between cells to try and balance them, but it's not working too hard at it. The voltage/SOC curve is so damn flat that highly unbalanced cells can still have extremely close voltages.I thought of a way to slightly rephrase/clarify my question. Probably comes down to the details of how a typical BMS works and my lack of knowledge of them.
Say you're using solar power to charge a bank of 8 lifepo4 200ah packs in series. When the first cell hits 3.65v, the bms starts burning off current from that highest cell (at least this is my understanding). If this is how it works, is there like a top tier BMS that does the balancing in a more sophisticated manner? You're using hard won solar to charge your pack, you don't want to waste some amount of it as heat to balance the cells, right?