I have a 6 hp listeroid diesel one lung generator which will put out say 3kw usable with a 5kw gen head. I have a bank of 6 UL approved manual transfer switches which isolate the generator. That isn't enough to run the whole house(no water heater) but will provide water, refrigeration, and most lighting circuits, including kitchen if used conservatively. This system is used in power outtages in our rural area.
I have also lived on a homebuilt houseboat, off and on for 10 years which I traveled in for 1700 miles. In that I used a small gasoline powered generator, a 1200 watt inverter/charger (Heart Interface) and 3 deep cycle 100 AH marine batteries. Shore power occasionally recharged the batts whenever possible, since the generator was objectionable to run in close quarters. The inverter had an automatic transfer switch, automatic battery cycler as well as the normal stepped charge rate charger. It was very smart for the time.
Can what you are proposing work? Not for a whole house if the total house draw exceeds the inverter's capacity. Or if the demand period exceeds the batteries capacity. Seems like those figures are the first thing you want to establish before buying anything.
In fact, if you don't own one already, your first purchase should be a Kill-A-Volt.
Feel free to ask any questions about this subject, as I've been through years of this stuff.
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