Check the voltage at the battery, then at the plug. They should be the same, with maybe a .05 volt loss. Plug in the fridge and repeat checking the voltage. Again they should be the same.
If the voltage loss is more than a a tenth of a volt it sounds like a wire is too small to carry the current draw. If the fridge running drops the battery voltage by more than a few tenths the battery may be bad, or it is too small for your use.
Had a similar problem on our '12 JKUR - the factory rear power outlet was insufficient to run a fridge. The factory wiring was 18G - perhaps even lighter...
We ran 10G primary wire for both positive and negative directly to the battery and used a cigarette lighter socket rated to 15A, and all is good.
Sometimes even with the short run of 10 guage wire you will still have a problem. I did. With fully charged, brand new batteries and ARB 10 guage wiring kit the fridge is still finicky to start the compressor with just a minor voltage drop. Ron
Well, it's reassuring to know that (a) I'm not the only one having this issue and (b) that it happens to high-end fridges like the ARB as well as to my bargain-priced Dometic 19 liter unit!
Good info. Thanks.High end fridges need adequate power supply too
Premium ARB dealers have a meter offered by ARB to physically load test the outlet in question. Basically it simulates the fridge start-up amperage and determines if your outlet and associated wiring can handle the fridge load. I've found that many of the OE supplied outlets are not up to the task, they build them to charge phones or a laptop, not power a fridge. Along with those would be outlets in which the installer jumped on the circuit of something else, be it the rear dome light power, etc. Best bet is to run a dedicated circuit, ARB offers a nice kit that is compatible with their cord (and any other Hella style plug but not cig. style) that comes with a nice flush mount outlet and enough wiring for a direct run to your battery system or high amperage fuse block. We've installed quite a few of the kits in late model Toyota's where the factory outlet wasn't doing the trick.