Normally the power provider has a specialized team that deal with recurring power problems and apply the test equipment in order to trace the problem. I know here where I live in Canada they have a fairly large dept to deal with this.
It is strange that it only occurs at switch on, as usually when you turn the breaker on the controller is normally powered up after this takes place, so it is rare that the whole machine is powered up by the disconnect.
BTW, are the machine disconnects switched off? Or just the controller?
If the power Co. are reluctant to do anything and the majority of the faults occur to the CNC control side, I would measure the 200vac or control voltage supply side on the machines, it would be very simple and cheaper to reduce the 100vac or 200vac as the case maybe, with a small buck boost transformer, I have done this on these types of machines as Fanuc for e.g. allow ±10% on the supply.
Al.
CNC, Mechatronics Integration and Custom Machine Design
“Logic will get you from A to B. Imagination will take you everywhere.”
Albert E.