If it's short, then no you won't need a backup. More than 5-6 hours maybe, but less than that should be fine. Any lights you have on the tank would obviously be off, you could throw a blanket over it to shade and insulate it a bit more. I'd be more worried about airation than cooling during a power outage.AND a chiller would need battery backups. We usually have at least one short outage for repair purposes, every several months, as they add on to the system.