I was thinking an UPS would be the solution too, but in my calculations I run short. UPS's are meant to give a pc user the time to save data and shut down during a blackout and as far as I know, the expensive ones got about 180 Wh of power. If your heat lamp is 50 W, that's 3,6 hours of heating. If you've got a substrate heater of 8 W, it's 22,5 hours. If the room temperature comes close to zero, I don't think it'll be enough to heat your tank for 12 hrs/day. You'd probably have to heat non-stop.
Perhaps you could use an UPS and substrate heater if the blackout takes a day.





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