This article states it depends on what type of system you buy:
After Hurricane Irma: Why solar power can’t replace storm-damaged grid
http://www.palmbeachpost.com/business/after-hurricane-irma-why-solar-power-can-replace-storm-damaged-grid/mSmLcXjuPFAOWw4GHlYsTI/...Alissa Jean Schafer, solar communications and policy manager at the Southern Alliance for Clean Energy, explained in a recent blog that the
standard, grid-connected solar system cannot necessarily be counted on to replace the power grid if you are without power after a storm.
“If the grid goes down, your solar panels are ‘down’ as well, not providing any electricity to you. If you’re not sure what kind you have, they are probably connected to the grid,” Schafer wrote.
“The biggest reason for this shutdown is safety. As soon as possible after the grid goes down in a hurricane or tropical storm, power companies get to work trying to bring it back on, that means hundreds, or even thousands, of workers and emergency response teams are performing hands on work on power lines in affected areas. If residential solar panel systems are connected to the grid and generating power, this poses an electric shock risk to any worker. Incorrectly connected generators pose the same risk and come with warnings not to connect to the grid,” Schafer said.
If you have a
rare off-grid system, complete with a battery back-up, then it would work, Schafer said....
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Off-grid systems, with battery backup and transfer switches are more expensive. Most people don't pay for that and only get peak shaving systems that lower the electric charges during day peak, but not a system backup.