Wish this could be a reality. We go through about 30-40 sets of batteries a day. 2 batteries per set. At least 8 different batteries on the chargers at same time. Each battery charges at 130-160 watts at 13 amps. So I don’t think any kind of inverter setup can keep up with it.
I do use inverter for smaller batteries and less intensive days.
I’ll look into building a platform in the back to mount it to that will exhaust out the back window when hatch isn’t open.
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Can I ask what kind of batteries/charger you are using. I ask as all an inverter does is take DC to AC. I'm guessing you are using an AC charger, but the battery charges on DC, so if you can cut out the draw/waste from the inverter something like a GoalZero Yeti may actually make more sense.
I've been a little out of the drone/rc loop for a while but if you can use something like this:
Hobbyking(R) DC-4S Balance Charger & Cell Checker 30w 2s~4s
they you bypass the wasted energy needed to convert to AC and back to DC.
P.S.
I'm not doubting that you have looked into this option before, and I could very well be missing something obvious, but now I'm kinda curious why it wouldn't work for my own interests...