I bought a used 3 phase surface grinder a couple years ago and while looking at the controls and wiring I discovered the oil pump was 110 single phase then found a transformer inside wired with a few other things. I connected a VFD to the motor but ran a dedicated 110 single phase line to the oil pump.
VFDs don't put out a clean 3 phase like you would get from your utility, as mentioned by 480volt the motors connected should be inverter rated. mines not, so researching what that meant I learned a non inverter rated motor on a VFD can actually get bearing damage over a very long time of operation, something about the way the VFD feeds it.
throw in a computer board and your asking that machine to throw an error code. you may be able to isolate the motor to the VFD but from what I found is you can't have any controls or switches between the VFD and the motor, which would eliminate any use of other electronics on your machine. they simply cannot have any sort of function on the motor after the VFD.
I could me mistaken about this but I knew what I was getting into with this surface grinder, just stumped a while about the oil pump. I wish you luck with your machine, if nothing else, you'll still have a great machine but without all the bells and whistles.