I’m not sure what you mean. Traction batteries consist of ’strings’ of cells in series.
I'm aware but what I meant is such a battery would require a hefty voltage to supply any meaningful current input to the train and be just as good at recharging from regen and this pretty much constantly along a single trip which will undoubtedly cause a lot of wear and tear.
The above is asking the battery work in tandem with the DC rail input additional current to the traction system which would mean the only time it really charges is on braking or at a standstill. I'm unaware of the capacities these days of battery powered trains(judging it hasn't been great and that's more so from a reliability stand point in the uk) but you'd be adding some type of system to regulate the two power inputs to work simultaneously and at that point such a "refurbishment" would basically be like making a new train on some of the existing fleet I.e the 465.
Assuming you can make a stable management system to optimally combine the two sources for just accelerating (plus the other required things to fit the batteries on the existing DC Stock) then either from a genuine standstill or acceleration in general till a certain speed it could offer a pretty good boost.
The stadler Class 777/1s are one of the trains in the uk with acclaimed reliable battery testing done and they have the battery power mode only able to supply a total of 320KW at 386V DC, which is about 829 Amps
As Watts = Volts * Amps
The Class 465 motor wise can take some 2,240KW of supply(manufacturer wise). This is only 60KW short off a GA standard 5 Car Class 720 which feels much more nippy with 2,300 kW motor output.
That means Amp wise the Class 465 is asking for roughly 2987 Amps at 750V to achieve its top KW output. Which it definitely is not getting close to that amount of juice.
Compare that to the Class 720s which although some what lighter and yes newer built they're however more likely to reach max output because the Current required is more achievable as the Overhead lines can push more power(Watts) with less current.
Take the Class 720 output of 2300KW and convert that to Amps is 2300KW / 25000V = 92 Amps
If the battery or batteries in addition to the true KW output generated by the DC rail, can push near enough of the 2,240KW needed by the motor than currently supplied by the 3rd rail then assuming the weight isn't sustained for the retrofit the Class 465 would be more nippy I'd say.
Note: Motor Efficiency was negligible here, ofc real world the Class 465 TM motors wouldn't be nearly as efficient as the newer motors on the Class 720s which does reduce the Output Power by a factor and require you to input slightly more than just what the motors can output KW wise maximum.
But overall there would be a noticeable change hence why the Class 365s feel more nippy than the 465s do and the 377/7s feel more nippy on AC than when on DC where the motors are still the same and capable of the same max KW output.