WOWWWWWWWWWWWWw Greg, those are great batteries and AGM to boot which I told you I would recommend and would use when I upgrade YOU DONE GOOD but your wallet got lighter lol
Those are rated at 300 Amp Hours of energy storage so if wired in series parallel with four parallel banks of two in series that's a whopping 1200 Amp Hours !!!!!!!!!
So, you ask "How many 670 watt solar panels would I need to keep the battery bank charged?"
CORRECT ANSWER It depends on how much you discharge them which requires an energy audit.
Typical light duty use may be water pump and vent fans and small electronics and charging and that may well be less then 100 Amp Hours per day. If that were the case, heck a single 670 watt panel, subject to location and sun duration and tilt or flat panels, will most likely get you by.
FYI I run a small 120 VAC extra fridge 24/7 and a CPAP all night and usual fans and water pumps and electronics but no microwaves or hair dryers or AC (yeah right) via my Inverter and my 715 flat roof mounted solar watts (subject to sunlight) typically has my batteries (four 6 volt Trojans 450 Amp Hours) re charged to 100% SOC by early to mid morning SO THATS ALL I NEED.
Now if you wire up an Inverter (12 VDC to 120 VAC) and started using high energy appliances like maybe a microwave NOW YOU NEED MORE SOLAR
BOTTOM LINE PURE GUESS based on what you have told us so far and your whopping 1200 battery amp hours
1) I would start out with TWO of those 670 watt panels (even if one gets you by subject to loads) and if you need more you can add on later IT ALL DEPENDS ON YOUR LOADS AND SUN LIGHT AND TIME AND TILT ANGLE OR FLAT
2) I would use an MPPT solar charge controller but with 1340 solar watts of panels that requires OVER ONE HUNDRED AMPS !!!!!!
3) To make wiring easier I would use a COMBINATION INVERTER/CHARGER versus two separate pieces of equipment and wiring (IE a separate Charger and a separate Inverter) Take a look at Magnum
IMPORTANT NOTE when wiring all those batteries in series/parallel LOOK AT THIS WEBSITE as it makes a difference how they are wired: http://www.smartgauge.co.uk/batt_con.html
NOTE this is going to require huge copper cables you know
AGAIN ANSWER IS IT DEPENDS ON YOUR LOADS AND HOW THE PANELS ARE MOUNTYED AND SUNLIGHT TIME AND ANGLE
But Id start with two of those panels as a pure educated GUESS even if one gets by fine to allow for future expansion
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