You should carefully review definition of GEC (grounding electrode conductor). GEC and grounding electrode is not something you install at every 'equipment'.
GEC is the conductor used to ground the system's "grounded conductor" , such as neutral of 4 wire system, to the system’s grounding electrode, such as the building steel or a ground rod. Now this connection is typically made only at one point, which is the service entrance or the secondary of a transformer or in other words the origin of the system.
From that point onwards the "grounded conductor" (e.g. neutral) is not grounded again while a ECG (equipment grounded conductor) or the "green wire" is always installed with every branch circuit. (metal raceways are acceptable by Code as ECG, but let us not use it for the purpose of this discussion).
The only connection between the ECG and GEC is at the service entrance equipment or the secondary of a separately derived system.
Now if your 480V system is grounded at its origin and your machine does not require a neutral, you need not install the neutral but you install the ECG and "bond' all non-current carrying surfaces of the equipment (enclosure, frame, etc.) to the ECG. For extra safety you can "bond' such non-carrying surfaces to supplemental grounded surfaces such as building steel but not 'required' the code.
As for the grounding the static charges goes all you need is the all non- current carrying surfaces that a person can touch or span by standing at one location should be bonded together and eventually conncetded to a effectively grounded surface or a seprate grouding electrode and more importantly the "ground" chasis of the equipment generating static. If you are bringing your power feed with ECG (green wire) you should also connect that to this 'bonded' system. Now a seprate grounding electrode, if installed for this purpose is not your system grounding electrode but a supplemetnal grounding electrode.