Hi, I guess it's me (Laurent) you're replying to, as I don't see any Louis around here
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Ok then , it's an arri torch you have, not LTM. I don't know this torch, but, as your problem seems to only be a powering one, I guess I figured out what you said and try to do.
Since you found a documentation on this arri torch, I guess that you'll find a few informations you might need.
May be there is a specific battery that arri provides (should be) that you could rent with the projector, and DC ballast.
Otherwise, check voltage and needed capacity (Amp.Hour) as well as connecting plug and just any battery with the required specifications would fit. As I told you, if it's 24 V , you could even use a truck battery.
Mind the polarity of the 4 pin plug (usually 1-, 4+) and connect a 4 pin plug on the battery (solder it).
Mind that some of these torches work on 30 V...
About capacity : you can always use a battery that delivers more than the required capacity, never put a battery that is delivering less.