Can I Connect Two Inverters Together. That can be true even if the batteries are the same size. Consult with the manufacturer of your power inverters to make sure they can be stacked into a parallel configuration.

The supplied DC power cable includes an inline 315 A slow blow fuse. That can be true even if the batteries are the same size. Up to 10 inverters Grid interactive 120240Vac.
Moer expensive ones as used with solar systems can match the frequency of the incoming line or generator.
The other issue is when you are talking about such heavy loads 2-3 kWatts if both inverters are on an operating--you should be looking at a 24 or 48 volt battery bank. Parallel capability is an additional benefit of inverter technology. The supplied DC power cable includes an inline 315 A slow blow fuse. It should be on and blink shortly every couple of seconds.
