People say you cant unplug a stepper motor while the drive is powered up. They say you cant unplug a motor from a vfd during operation.
I dont understand it. The outputs are diode clamped to the rails.
I've also heard stories about motor drivers getting destroyed when a motor is disconnected while the system is powered, and I also do not fully understand why. This can be accidental, for example a bad screw connection or a breaking wire due to fatigue. Sure, the motor current has to go somewhere, and it will readily spark with a high voltage over an opened connector, but a high voltage over an (just) opened connector is in itself in a harmless place (it may damage the connector contacts a bit).
I guess that the main cause is the very high di/dt value, which induces secondary voltages in other locations.
For example, if the motor has long cables, and the cut is near the motor, the inductance of the long cables probably gets fed back into the motor driver.
Now that I've written this down, and read it back again, this sounds as a quite plausible reason.
Only way that a PSU would be damaged by powering down into a load, is if the load stores more energy than the output caps, and the PSU doesn't have clamp diodes at the output.
With a high di/dt value, the buffer electrolytic capacitors do not have enough time to react and absorb the energy, and the energy goes through whatever path has the least impedance. High energy transients are in a world of their own and they need special considerations to mitigate their effects. For example TVS diodes (there is a lot written about those) loose effectiveness if they are connected via a T-junction to the track they need to guard, because the track between the T-junction and the TVS has it's own inductance. The other side of the TVS also has to be connected directly and solidly to (usually) the GND plane.
And this is just on a PCB scale. Now scale it up to several meters of motor cable.