A refrigerator does not pull a big wattage all day. The compressor draws about 100 to 200 W while it runs, then shuts off once the box is cold. A newer ENERGY STAR fridge runs roughly 30% of the time, so it averages about 45 W. That is the number our table uses.
Older and bigger fridges use more. A 10- to 15-year-old fridge, or a side-by-side with an ice maker, often averages 70 to 90 W. At 80 W, a 1,024 Wh station lasts about 11 hours instead of 19, and at 90 W about 10. To find yours, look up the kWh per year on the yellow EnergyGuide label or the spec sheet and divide it by 8.76. That gives the average watts. A fridge rated 700 kWh a year averages about 80 W.
The hard part is starting it. Each time the compressor kicks on, it needs about 800 to 1,200 W for a second. That is why a small station with a 600 W surge limit, like the Jackery Explorer 300 v2, cannot run a fridge even though its battery could hold a few hours. Look for at least 1,000 W of surge, and more if other things will be running when the compressor starts.
For sizing, plan on a full day. At about 45 W average, 24 hours uses roughly 1,080 Wh. After inverter losses, that means a battery of about 1,300 Wh. An older fridge at 80 W needs about 2,300 Wh for the same day. A 1,000 Wh unit gets a newer fridge through most of a day and night, and a 2,000 Wh unit covers a full day with room for a router and a few lights. For outages that last several days, a power station alone is the wrong tool unless you can recharge it from solar panels, a car, or a generator during the day.