Join Date: Aug 2018
Location: Lowell area, MA
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How many amps does the fridge draw? 14 gauge might be OK. The biggest current draw will be right as the compressor starts, so you'll have a larger voltage drop during that time, but after that the amperage will reduce.
My AC is probably 20+ years old, and about 7500 BTUs, I think. It will start using my 2000W inverter generator, when running the generator at full speed (Eco mode off), but it will not start with the generator in Eco mode. By the time the engine gets up to speed (after putting out a sagging voltage), the compressor has given up trying to start.
Based on what I've run on my 2000W, I'm guessing you'd be OK, but it may be close. You will want to start things in phases. Start the fridge first, let it run for 15 seconds or whatever (to get past the initial startup current spike), then start the next load. I'd do AC second (or first, if you want). Then move on to other loads that don't have motors & compressors.
If the AC and fridge compressors came on at the same time, you'd have a decent chance of overloading the generator. But you can avoid that by turning them on at different times.
On the plus side, you can manage the big loads. If it turned out that you couldn't run the AC and the fridge at the same time, you could run the AC for a while, then turn it off and run the fridge for a few hours to cool it down, then switch back to AC.