I have two kinds of VFDs in my shop. One kind is silent while plugged in, the other kind turns on a fan when connected to power, regardless if the motor that it controls is energized or not. Those kinds of VFDs get switched off when not in use (because the are noisy, and because they seem to be needlessly running a fan), so, when I want to use the tool, I need to turn on the VFD, then wait 4 seconds or so for the VFD to energize, then turn on the tool. The kind of VFD I like more is the kind that does not make any noise...I can just leave it "plugged in" and turn the tool on and off instantly when necessary.
The kind that runs the fan is also rated much higher, at 5hp, and maybe that is the nature of the beast...are there any single phase input, 5hp VFDs that are silent while energized, but not running the tool?