I have a power inverter from Walmart that I purchased for $35. The equipment plugs into the inverter, and the inverter is connected to a 12 V deep cycle marine battery. Both are located in the automotive section of Walmart. The marine batteries have blue labels and will indicate deep cycle/ marine on the label. Select the largest size ( group 30), and the inverter with the higher wattage ( I think mine is up to 750 W) You can have yourself a battery backup system for just over $100 in this way.
I have run my tank for over 24 Hours, running 3 EcoTech vortex pumps, my return pump, and heater, using a group size 30 battery (the largest marine battery). Additionally, I have a bass boat stored in my garage that has 6- 30 sized marine batteries, maintained on a triple charger, that I can pull from if required. In this way, I can run my tank almost indefinitely using the batteries.
The downside is that this battery backup method will have to be set up manually; it will not turn on automatically, and in the event of a power outage someone will have to be present to set this up. Otherwise, it is an excellent option, perhaps as a solution to be used in combination with a UPS after it runs out.