Quoted:
From the specs on the Powerwall and looking at the last 12 month's of the woman's electrical bills, the 14 kWh unit should provide 20-24 hrs of whole house back-up power w/o air conditioning. Since she's home 90% of the time, if she loses power in one of the 3 summer months, she can simply shut off the A/C until utility power is restored. If the power failure is expected to last longer that 24 hrs, which has not happened in the 20 years she's lived there, she has time to make preparations to leave.
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14kWh of energy storage will give you 700W of power for 20 hours. With that you can run a refrigerator, a TV, and one or two lights. The electrical bills you're looking at average in the hours she's asleep or not home and drawing less power. If she's asleep or not home when the power is out, it wont matter what backup she has; if she's awake and home, she's going to be drawing a lot more power than the average from her bills, and a battery backup will run out much sooner than 20 hours. The other fatal mistake of taking a year-long average of power usage is that lower power months (usually winter) will mask the true demand of high power months (usually summer). If the power goes out in the summer, she can't just wave a stack of electrical bills at the Powerwall to make it provide the juice she needs. You'll have sized her a solution based on lower demand than she really has.
Her choices will realistically be:
1. Get the battery. When the power goes out, turn most things off, unplug others, and get power usage down to the bare minimum to see if she can wait out up to 20 hours.
2. Get the battery. When the power goes out, run things like normal and run out of power in, realistically, 10-15 hours, hoping the power comes back on before the battery is dead.
3. Get the whole house generator. Stop worrying and barely notice that your neighbors lost power.
The Powerwall is not a solution for whole house power supply.