Electronic – Charging 3 cell LiPo with TP4056 (Protection included)

The charge controller is described as a "Miniature Single-Cell, Fully Integrated Li-Ion, Li-Polymer Charge Management Controllers".

This means it can charge 1 (one) Li-Ion cell. If you want to charge two then buy another.

How to wire two together? It seems that the prog pin might help: -

The charge management controller can be disabled by allowing the PROG input to float.

Will this allow you to then connect the two batteries together without damaging the charger chip? It appears so but it's not absolutely clear. Possibly, by having a schottky diode connected from Vbat terminal to Vdd input power terminal this can be safely achieved. You will need to investigate this yourself.

So, if this works you can use two back-to-back MOSFETs (wired like a solid-state-relay) to link the two batteries together and then this combined battery can feed your boost circuit.

Regarding your circuit, M1 is shorted out and you need two charge controllers so I'm not attempting to analyse it further.

There are very expensive $250- $300 chargers that do higher than 6s, probably closer to 10s, but not a lot to choose from and right now my memory is drawing a blank on their names, but they do exist.

I have no idea why there are not more, but I suspect that the demand is simply not there yet. Lithum batteries at those higher voltages are not as common and can be very expensive as are they chargers.

The charger you link to balances its battery by having a charging connection and balancing connection at the same time. The charging connection is directly connected to the + and - of the battery and supplies the main charge. The other connections are more complicated and, for example, in a 6s battery there would be 7 connections, one at the "-", on at the "+", and a connection or wire coming from every single cell connection. So each time another cell is added to make it a 2s or 3s, a wire comes out between the "+" and "-" of each cell added. So a connection between all 6 cells and one at the botom or "-" and one at the top or "+" and you have 7 wires coming out that will then plug into the side of the charger.

The charger then monitors each individual cell's voltage as it is charging the battery as a whole, but most chargers don't seem to start balancing until the battery is essentially full, or at least one cell is at 4.2 volts. Then it uses the seven wire connection to balance the battery, usually by discharging the higher voltage cells a little via a small current, and then charging the whole battery again slowly. Then repeat until all balanced.

It looks like what you linked to would work, except that they are for smaller number of cells in series than what you want to do.

Another option that would work for you is to do what you are doing - split the 10s into 2 5s and charge them independently, but parallel charge them using a parallel charging board and then you could charge them at the same time.

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