Sam, another issue might be when you go to recharge them. If they are still connected in parallel and you use a common recharger, one of them will get topped off before the other one. The charger would still be running current into the larger battery, though, which might cause boilover in the smaller battery.
I'm aware of that. However, modern chargers only pump in high amperage up to about 85-90% charged. Then the charging voltage will drop slightly to limit the incoming current. During this latter stage, the individual batteries "should" equalized somewhat, so it won't be a problem, in theory.
I think that you guys are over-thinking this. The charger goes by voltage to know what to do next. Let's just say that 13.7V is a trigger for something. Well, any of those three batteries charged alone would cause a trigger to occur when they reached 13.7V. Tie them together in parallel, and the trigger still occurs at 13.7V on each battery.
Now, the lower state battery would hog more of its share of the current as it comes to equilibrium with the others (just like they deliver more/less current to a load). This might have a minor effect - if your charger is rated to max out a 300 A/H battery - that one hogging might gets more than its share, and that could over-heat it etc. I doubt you are close enough to the line to make these minor differences significant, and if you were, you'd need to worry about temperature, humidity, barometric pressure, phase of the moon....
Yep, that's why I bought 3 "identical" one, hoping that they have the same characteristic
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+/- 3dB. No you didn't, you bought three batteries of the same model, you didn't pay the manufacturer to give you a precision measured "matched set". It costs a fortune to get a manufacturer to "bin-out" parts to high accuracy. And they certainly won't do it w/o a volume purchase.
OK, now I see you really did mean "shunt", I thought you just meant straps to connect the batteries. so 5 Amps is 5mV - you are getting down to fractions of a millivolt, and ~ 5% deltas. Plus, throw in some inaccuracy for the shunts (I see these are accurate, 0.25%), but you connections would factor in also.
I'd worry more about the general charge/discharge cycles than this minor difference.
-ERD50