All of your cells have a positive and negative ends which are simply joined to each other in series to form a chain of 16 cells. The main difference between your cells and his is that your cells have their (+) and (-) terminals on opposite ends of the cells, whereas his cells had both (+) and (-) terminals located on the top of each cell. The busbars
(metal connecting strips) used between each of the cells are connected to form a string of cells in exactly the same way; cell 1 (+) terminal connects to cell 2 (-) terminal etc..
Here is a diagram showing the
BMS connections on an early GM 48V battery using 13 groups of 3 paralleled 18650 cells:
The positive end of cell no 1 is directly connected to the negative end of cell no 2, so it doesn't matter whether balance lead 1 is connected to cell 1 (+) terminal or cell 2 (-) terminal as they are basically joined together by the interconnecting plate.
If the replacement
BMS uses the same type of connector as your existing one, you may be able to simply plug the existing connector into the new
BMS, but check that the new
BMS has the same number of balance wires
as your battery has
BMS connections at both ends of the chain, but some
(like the GM one shown above) do not have the two end balance wires on the battery (+) and Battery(-) terminals.
For your battery, a replacement
BMS would need to be suitable for 3.2V LiFePO
4 cells, not 3.6V LiIon or 3.7V LiPo cells.
Alan