Answer

Can the WEN 56380i run BLACK+DECKER BD12NWES 12,000 Btu/h window air conditioner?

Runs

Runs. Running draw 800 W fits within 3,400 running watts. Startup watts were not published; 3,800 starting watts is at least 3× the running draw, the common planning allowance for a compressor or pump start.

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The comparison

WEN 56380iBLACK+DECKER BD12NWES 12,000 Btu/h window air conditioner
Running watts3,400 W800 W
Starting / surge watts3,800 WNot published
Typeinverter, GasolineCooling
Published runtime8.5 hr at 50% load
SourcesGenerator sourceAppliance source

Questions

Can the WEN 56380i run BLACK+DECKER BD12NWES 12,000 Btu/h window air conditioner?

Runs. Running draw 800 W fits within 3,400 running watts. Startup watts were not published; 3,800 starting watts is at least 3× the running draw, the common planning allowance for a compressor or pump start.

What watts were compared?

Generator: 3,400 running W and 3,800 starting W on gasoline. Appliance: 800 W running, startup not published.

How long will it run?

Fuel runtime depends on total load. Published runtime: 8.5 hr at 50% load.

Where did the numbers come from?

WEN product page and manual: 3400 running / 3800 surge; TT-30R and two 5-20R; 2.2 gal; 8.5 hr at 50%; 99.2 lb. ENERGY STAR lists 12,000 Btu/h, CEER 15, 115 V, variable-speed compressor, and 600 kWh/year. Rated input is 12,000 ÷ 15 = 800 W, which matches 600 kWh at 750 hours. Startup watts are not published.

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