Nish, but he's not looking to operate in an "emergency" mode.
He's basically looking to full-time power his home off solar/renewables.
This means that he needs to figure out what his overall draw is throughout the day, hopefully using a day with maximum draw as is load ceiling.
Then he adds a safety margin of a few percentage points.
He then needs to build a system that can satisfy that on his lowest generation days and store power to account for multiple days in a row.
The AVERAGE draw of a US home is about 1.2 kilowatts per hour (or 1.2 kilowatt hours) or about 30 kilowatt hours/day.
And remember that your solar panels are only really producing significant power 5-6 hours a day.
So BARE MINIMUM to keep things going you need to have a 5-6 Kilowatt system and hope to God that you are getting maximum production.
You aren't though.
So the industry standard is to triple (yes, triple) the size of the array.
And it's pretty linear. A 5KW system will run you about $16K before any government kickbacks.
15KW system will run you about $45K before any government kickbacks.
I figure an 18K system will weigh in about $50K.
And that's BEFORE battery storage.
A Tesla Powerwall2 has about 13.5 KWH of storage.
So you'd need about 3 of them just to get through a single day.
And that system would run you about $30K
Likely you'd probably want to double capacity (if Tesla would even SELL you that many power walls).
So you're probably looking at $50-60K
So, figure $100K for a complete system, and be nice and include a small-property wind turbine for some additional generation capacity that ISN'T dependent on sunshine.
Now, "is it worth it" will depend on your local price for electricity.
In Illinois (where about half our power is generated by nuclear), I've done about 30 KW hours on average. With monthly bills weighing in around $65/month.
It's less during the winter, but I'll be nice and assume maximum draw of summer (with AC) 12 months a year.
65*12 = $780/year.
100,000 / 780 = 128 years to payoff.
So, such a system would be COMPLETELY infeasible for me. It'd wear out before the panels would need replacement SEVERAL TIMES OVER.
Granted, with the cost of power increasing year over year, it wouldn't ACTUALLY be 128 years. (More likely 85-100 years.) But my point remains.
Now assume I'm the US AVERAGE (I'm about 1/20th.).
Suddenly I'm using 900-ish KWH per month and I'm going to be bumping into more expensive tiers with that much demand.
So, now, instead of spending $780 a year, I'm spending about $16K a year.
100,000/ 16,000 = 6.25 So about 6 years.
THIS is FAR more feasible. Though the cost to replace the batteries several times in the solar array's lifetime aren't factored in.
PW2's have a warranty of 70% guaranteed output at the 10 year mark. If we've doubled-up as discussed earlier, that's STILL enough capacity go carry you around 2 days if you're frugal.
So, assume 15 years out of a battery array and a replacement at that time at a similar price point.
(Note: It's possible battery technology will be more efficient, have higher capacity, lifetime, be cheaper, etc by then. But just for sake of argument, consider the cost identical)
150,000 / 16,000 = 9.375. So just under 9.5 years of payment for a system that'll last 30+, barring damage to the array.
That's actually not bad. And at the end of that 30 year period, you're looking at a system that's still outputting 75+% of it's original maximum capacity and is simply due for a storage upgrade again.
Now I've left out things like maintenance, panel replacement, etc.
But, for the most part, I've quoted fairly realistic pricing for an installed system.
Things I haven't covered.
Loan interest. This I'm DEEPLY ignorant about. But unless you're going to poop out a fat sack of cash, you'll be taking out a loan for this.
As noted, system maintenance and equipment replacement due to unforeseen damage (like panels after a hail storm).
Government kickbacks on solar systems.
In some places, you're eligible to get up to 30% of the cost of your solar array (but possibly not your storage system) back from the government. Though some of these programs are shutting down. These programs will pretty much do nothing but speed up the "time to repayment" of the system. Though there may be some limits on the size of the system that can be built. Meaning that you'd HAVE to go grid-tied no matter what.
Still, most optimal.
50,000 * 70% = 35,000
85,000 (with power storage) / 16,000 = 5.3125 years.
135,000 / 16,000 = 8.4375 years.
Now. Hopefully I've given you good info and your eyes didn't glass over...