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Do you just want to run the fridge, or power some outlets as well?
If you just need to power the fridge, a 750-1500 watt inverter will do the job, it just needs to handle the peak power required to start the compressor which depends on your fridge.
A model that supports auto transfer will probably be your main concern besides peak wattage. That way it will automatically switch to batteries when AC is disconnected, and back to AC when it's reconnected.
Look for a model with a remote control that lets you disable the inverter when you don't want it to switch over.
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