I have the Frigidaire FFRE0533S1 5000 BTU window unit. It has the lowest power consumption of any I could find.
The max it uses is 410 watts, it has a soft start and an ECO mode that doesn't run the fan when cycling, except for 20 seconds every 10 minutes.
When in cool mode and cycling the fan runs and uses about 65 watts. When the compressor kicks on it will use about 335 watts and very slowly raises until it gets to 410.
Once it gets to 410 it will run until it reaches the set temp and then the compressor shuts down and cycles.
How well your rig is insulated is really going to matter and is key! So that it holds the cold air well / the cycle times when the compressor doesn't run are longer. You want to insulate the floor. Hot air rises and cold air falls.
You can easily run it with a 1000 watt peak / 800 watt continuous generator.
I have the Energizer eZV2000p generator. It's 1600 continuous / 2000 peak. In Eco mode, the specs say that it runs at 25% (400 watts) for 11.5 hours on .9 gallon of gas. So it sounded like a good fit for the AC since it's 410 watts. Plus I got an open box for only $379.
Check out this Frigidaire 5,000 BTU Window-Mounted Room Air Conditioner and other appliances at Frigidaire.com
www.frigidaire.com
I just looked and you can get the eZV2000p for $399/new on eBay. It's through the exact same company I got my open box from off ebay ... VM Express. It's currently $505 on Amazon.
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