If you have a home with a sump pump, it is likely that the pump is plugged directly into a wall outlet. The problem with this set up is that you have the greatest chance of losing power during heavy storms, and this is when you need your pump the most. In order to protect your basement and valuables, you might want to consider buying an emergency sump pump that runs on a back up power supply.
For example, the Basement Watchdog BWE 1000 Gallons Per Hour Basement Watchdog Emergency Back-Up Sump Pump is such a system. This system is installed along side your normal pump in the same pit. When the power goes out and the water level rises, the back up pump is triggered and kicks in to action.
Here is a video that demonstrate how to install the back up system: watch video here.