When game are you trying to run in it?
If you are running Pokemon X/Y or Animal Crossing, you have to be online or Powersaves will cycle like that.
If you are not running those games or you are online, when that happens to me, I usually fix that by disconnecting my device, shutting down the Powersaves software, restarting Powersaves, and then reconnecting my device.
If that doesn't work, try connecting your device to a different USB port. There is a possibility that the port that you are using doesn't provide enough power for the device.
If that fails to correct the problem, you may gave a faulty USB cable. Try a different one.
If none of these sings solves your problem, then I don't know what else to do.