Plus the batteries are too small... Imagine trying to run the starter on your car for 15 minutes at a time (is not possible)... And that is an 80-100 amp*hour 12 volt battery.
Normally, we would suggest to size the battery for 3 days of no-sun and discharge to a maximum of 50% of capacity (for maximum life)... For higher power applications, I would suggest 24 volt inverter, minimum:
1520 Watt*Hours * [1/0.85 (inv eff)] * 1/24 volts * 3 days * 1/0.50 = 447 Amp*Hour @ 24 volts
Or, two 12 volt batteries with a minimum 447 amp*hour each in series to produce 24 volts nominal. Or, almost 10x the size of batteries versus what you currently have. This works about to roughly C/10 (1/10 the 20 Hour Rating) rating of the battery (the amount of load that would discharge your battery from 100% to 0% in 10 hours)... If you tried to use smaller batteries, you run the risk of damaging it from high discharge current (C/10 or C/20 is, roughly the optimum discharge rate, C/5 or C/1 might damage the battery--C/30 or C/40 is getting too expensive--rough rules of thumb).
In general, you want to use as small as motors and move as little water as possible--especially in an emergency. To size your system to power your normal "household use" (just a guess) in an emergency is, many times, not practical.
Regarding solar panels... you would assume that they are about 50% efficient, so:
1,520 WH * 1/50% * 1/4 hours of sun = 760 watts minimum... (recommend up to 2x more).
Solar Power, as a pure emergency backup, rarely makes sense... It is EXPENSIVE (solar panels + batteries), plus the batteries age anyways and will need replacing every 3-7+ years (depending on a whole bunch of things).
The better choice is to design your system to run on solar power all year long--with generator or utility backup (for bad weather or when more water is needed).
If you are just after emergency backup power--an appropriately sized generator (propane, natural gas, diesel, or gasoline) would make more sense.
When sizing the generator--it is pretty cheap to get some pretty large units (10kW-20kW are very common sold as "home backup" units--however, they can cost $1-$2 per hour to run--even if you are hardly using any power).
If you have natural gas or a large fuel tank (whole home propane)--it may not be a huge problem (not much fuel used, because few power failures)... However, if you have to bring fuel in 5 gallon cans--that can get old very quickly (5-10 gallons a day) or impossible to obtain (no power at service stations).
Try to size your loads to use a smaller generator (I really like the Honda eu2000i). It can easily supply smaller loads (fridge, some CFL lights, radio, TV) for a couple gallons per day... Much easier to store a reasonable amount of fuel (10-20 gallons with fuel stabilizer, another 10-20 gallons from your car, etc.).
If you have heavy loads the run for a short time, like a well pump... You can have the 5kW noise maker run for 15 minutes to get your day's worth of emergency water, and use the smaller (and quieter) 1,600 watt generator to run the rest of the loads.
-Bill
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