When the alarm tries to creates a file it should check and if it already exist create a file with a number extension.
For example if you want to save them as test.psdata,
the next buffers will be called test(1).psdata and
the next will be called test(2).psdata.
Alternatively you can create a .bat file that can be run as part of the alarm to change the file names.
But this would require a value or names stored somewhere so you do not end up overwriting a file.