To the comment "Converters run when first plugged in" delete the word FIRST.
They run WHENEVER they are plugged in but the fan may or may not run, even if it is NOT plugged in, it's a 12 volt fan and on a T-Stat
To the comment "When the hum stops it's bad" may or may not be true, fans turn on and off based on how hot the thing is so once the batteries are full... They stop
Took a look at several WFCO converter products.. They do have a iron core transformer but it's not all that big so But on a "Replaced last summer" I doubt that is the source of the hum.. Fan most likely and simply cooled enough to turn off.