Chosen Solution

is it possible to add a battery?

becki2000seb besides all the sarcasm here is a short answer. No. The power requirements for your Sony GTK-XB5 are to large for a battery.

The power consumption of your battery is 30w. You need something of massive capacity, something like this: https://www.amazon.com/Portable-Generato

I like reviving olde threads, especially ones with no decent answer! I found lithium scooter battery packs with built in BMS charging circuits integrated on Ebay. Wire in a charger for when the thing’s plugged in and you’re solid, long as you can also convert the electricity inside to amp the board, also :)