Here is link about this RV user changing over to a household type fridge to replace the RV type fridge...
Residential Refrigerator for RVThis gives you a pretty good description in their eyes of what is needed to support just the Household type refrigerator. Please note the bottom line statement on what is required to just operate the Household type refrigerator.
"Best Power Setup for Off The Grid RV living with a Residential Fridge
If you don’t want to be forced to run a generator I’d say go for 800 amp hours of lithium, or 1200 amp hours of AGM and a solar array like our 960 watt All Electric kit from GoPower!. This should provide enough power to make it through 3 days of “normal” living (6 days if we are conservative) during cloudy weather without being forced to run the generator. Of course if there is full sun then we would be able to run almost anything as if we were plugged into the grid (we could even run our rooftop Air Conditioner for a couple of hours).
Here’s the gear we recommend:
960 watt Solar Kit: http://amzn.to/1XWqmiD
800 AH of Lithium Battery (check out reputable brands such as Lithionics and Relion)
2000 watt (or larger) PureSine Wave Inverter: http://amzn.to/1Uvno74
Battery Monitoring Kit: http://amzn.to/1Uvp9Rt
Automatic Generator Start (to ensure you don’t run your batteries down to low): http://amzn.to/21NAXgF
Kill-A-Watt Meter: http://amzn.to/25r0Do1"
This report is recommending a 2000WATT PURE SINE Inverter setup which will require a rather large battery system to operate it...
Your question is going to be are you really ready for all of of this...
After the shell shock of what is going to required then you will want to think about how to implement all of this into the RV just for the refrigerator.
Two ways come to mind being to install a 120VAC receptacle coming from the 2000WATT Power Inverter just for the refrigerator or have a auto or manual way of switching the refrigerator 120VAC circuit between the OEM 120VAc system already in the RV and the now added 2000WATT Pure Sine Wave Power Inverter system. This will require a large current rated switching 120VAC type Power Contactor setup for automatic switching or a manual high current rotary switch setup. Both methods will require you to cut into the OEM wiring of the RV trailer to separate out the wiring required.
To me the most simplest way would be to just install the 2000WATT Power Inverter and the required added batteries and high current required cables and just plug the refrigerator into the converter and leave it there. i.e. this will mean you will be always running off of the 2000Watt power Inverter just for the refrigerator. This of course will be a big waste of resources for the rest of the RV Trailer 120VAC appliances not working when not on Shore Power or Generator... I would rather run all of the other selected 120VAC appliances as well but that would require a larger Power Inverter setup...
Bottom line is it all depends on what you want to do with it now that you have already changed out the refrigerator...
Just saying and purely just my thoughts on the subject... I installed a 600WATT Pure Sine wave Inverter setup and supporting batteries and larger cables etc in my off-road trailer setup just to run a selected bunch of items to support camping off the grid like Home entertainment items, cell phone/computer chargers, lamps and fan etc and ran two 120VAc multi-tap drop cords to the areas for those items to plug into the Power Inverter when needed... being doing this since 2009 and it allows me to make it through the one day/night off the batteries but then I have to recharge my 50% charge state batteries to the 90% charge state to be able to do it all over again for the next day/night run off the batteries. My Ham radio hobby eats up alot of the batteries when being used hehe...
Roy Ken