ICE Packs
I have two Sets of Ice packs, I rotate them from the Fridge to the freezer every few days that keeps the compressor run time down saving power. I cant Say how long the battery bank and one panel will run the fridge. because we have a large lithium battery bank (1080 AH) and a lot of solar. but yes solar can keep up with the residential refrigerator (depending on the battery bank. Try to never go below 50% state of charge on lead acid or AGM batteries. It just depends on so many things Such as outside temp Ect
Figure out what you consume in a day, Have enough battery for that (times Two). Then add enough Solar to top off batteries before the end of the day.
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