Time Machine Backup fails
After working fine for several years, my Time Machine backup suddenly started consistently failing about a week ago. It spends a very long time "preparing backup", then gives the error something like "Backup could not be completed. There was an error copying files. Try again later. If the problem persists, use the Disk Utility to repair the disk". I've repaired the disk (several times) as well as all the other disks in my system, but the problem keeps occuring. Restarting the system also did not help. I can still access backups on the disk and in in fact went in a deleted a bunch of old stuff to insure there was plenty of disk space.
I have a 2011 iMac backing up to a 2 TByte Hitachi drive. I backup files from both the local hard disk and an external Seagate drive.
Any advice would be appreciated.