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We have a 8.5kw PV array and TeslaII battery. For us it was a no brainer, as my Peak season (summer and winter) bills were running to around $1800 a quarter, and off peak about half that. Our ROI is less than 4 years.
There is no mains gas in our area (typical NSW lack of infrastructure) so everything is electric. A big reverse cycle ducted A/C system and solar heated pool don't help either...but post Tesla, out bills are slightly negative in Summer and now about $400 annually. Much of this is the $1.00 a day grid connection charge.
I'd say you'll need at least a 5kw north facing PV array to have the battery charged most of the time...but a run of overcast days will quickly make you wonder why you didn't get a larger system....
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