The best thought on this question would be to operate the system one night and see what happens, then, adjust as necessary.
If thinking about adding a battery you will want to purchase two batteries. One will be additional and the other will replace the year old battery you already have. To get optimum performance out of a set of batteries they all should be fresh. Adding a new battery to an old battery only gives you the capacity of the old battery. Just like putting one D cell in the flashlight, both of them need to be replaced.
Again, if thinking of adding a battery you'll want to purchase true deep cycle batteries. Those Interstate batteries that come with RV aren't true deep cycles.
The circuit board of the furnace uses very little power whereas the blower motor is the big hog. The blower is an induction type of load that uses a lot of power at start up. Once running the consumption goes down so if the furnace cycles many times during your off grid period you'll be working your battery(s) hard. That's where the need for true deep cycles becomes important.
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2013 Voltage 3800, 2012 Chevy 3500 HD
2010 Yamaha V Star 950
2009 Yamaha Raider
Volunteering with Habitat for Humanity Caravanners
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