My guess: some antivirus-program or other add-on you're using is the culprit. See the discussion in http://help.wugnet.com/office/tmp-files-filling-folders-ftopict1063349.html.
The server story found in http://forums.techguy.org/business-applications/547658-excel-2002-creating-tmp-files.html seems rather unbelievable to me. However, it's in a business environment, contact your IT-staff.
No clues in your post, so this is all I have at the moment.
In Excel when a document is closed a .tmp file is left behind in the folder, these files have to be manually removed instead of Excel removing them when the file is closed.
The user and System have full control to the folder.
I have ran a detect and repair within Excel but the problem has not gone away
The problem is that excel is not deleting the temporary files and is creating new ones every time I save.
For example, I just made a tiny change to a file and saved it. An additional temporary file was created with the file name followed by ~RF26c83af.TMP. This file was dated when I last saved the file (last night). I made a second change and saved again. A new temporary file was created with the date/time I saved the file last today and the extension ~RF26dad2b.TMP. It sounds like it is Excel generating these,not something else. If I exit Excel, the files remain on my computer.They aren't deleted. In the past, the tiny files created by excel always disappeared whenever I quit the program