With that little battery you’re going to need to keep some natural gas plants running to be able to survive a few cloudy days in a row without a blackout.
Or just buy electricity from one state to the north or south where they didn't catch the same storm as you.
Or start running a nearby hydroelectric dam at 300% of average flow rate.
Or stop smelting aluminum in your attached aluminum smelter. Or equivalently, your bitcoin mine.
Batteries and panels continue to rapidly drop in price.
As your PV+battery system gets bigger in relation to your load, chance of a failure mode drops much faster than linearly; Not only are you looking at the far end of a bell curve from battery capacity alone, you're also generating more PV on the cloudy days.
>you're also generating more PV on the cloudy days
Or this: >chance of a failure mode drops much faster than linearly
And at $150/kw of panels, $100/kw of inverters & copper, $100/kw of mounting, $100/kw of install labor, and $100/kw of real estate...
And at a 1W : 1kwh/yr (11%) duty cycle (my area should be 50% over that, but let's use conservative assumptions for low-maintenance vertical mounts)
And a level of conservativeness around power supply that reserves 60 hours of battery bank...
...
I can run a steady 1kw load (a GPU, let's say) for ~9kw of panels ($4950) + 60kwh of batteries ($6000), or $10,000. Capital cost of $10/watt.
Vogtle 3 and Vogtle 4 are going to end up averaging about 2.1GW for an estimated construction cost of perhaps $34 billion by the time everything is complete, or a capital cost of about $16/watt.