Hi Stenly,
Your HCT-3 lathe is a 380/440 voltage, UK manufactured machine (in America it is called a "chucker" lathe). The electrical panel was made by a company called F&R Cooling (see the red/silver label on bottom right inside the box) and has Telemecanique contactors - very reliable, good quality, operate quietly too! I can see from the picture of the electrical panel that it is missing a multi-voltage transformer from the top left hand side of the panel - this is where the bare wires would have been connected. It would help you best if you can find someone else who also has one of these machines and can supply you with photos of the wiring conections on an actual machine. The multi-voltage transformer had various tappings on it to allow the panel to be fed with any voltage, either 220v, 380v, or 440v, it was simply a case of moving the feed wire to the appropriate voltage tapping. Other connections on the transformer were for control panel voltage - 110v in this case, and 25v or 50v for any machine lighting set. The 2 switches at the top of the panel, (low/high & forward/reverse) area ASEA type switches - nice lightly operating switches, reliable and good quality, better than some I have seen.
The main motor shown in the top picture was made by Newman Motors of Yate, Bristol UK, it is 0.5/1.5hp. Other motors such as the variable speed motor (AC, brushless) and the DC power feed motor are made by Croydon. The coolant pump is mounted on a sump at the far end (tailstock end) at the rear of the pedestal top tray (in this case it is the same pedestal base as used for the KL-1 centre lathe built in the UK - no apologies are offered for my UK spelling, gentlemen). PS. I am the guy that made the original drawings up for this pedestal in the Hardinge UK Drawing Office - copied from American original drawings but modified to suit UK manufacture.
It sounds like "hitandmiss" can help you out with a manual, I can't help you much further - I left Hardinge in 1979!
Regards, Barry.