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While there are many expensive and professional business level packages you can go with, for remote power failure monitoring.
Im gonna to list a cheaper option first. Here is the app
Then, what you need is a cheap, android phone. One that you can leave plugged into the wall at the location you want to monitor. And that phone must have at least text messaging service enabled.
What it does, is allow that phone to monitor the power at the location.. So if power drops the phone will use the cell phone network to send you a text message and let you know the power is out. This is a very cheap and easy to implement option.
Some of the more professional options /permanent options are shown on this page.
Thankfully with the advent of cell phones and smart phones, the technology for remote monitoring has progressed enough that it no longer has to be as expensive as it once was.
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