Just for reference I have a stud welding WPS/PQR at hand for Section I application from a manufacturer showing "Power Source: ABC-XXXX (a model number by the power source manufacturer)" besides other applicable aspects filled in the suggested FORM QW-482 & 483. Nobody's ever questioned such so far.
However, be reminded that for ASME B&PVC most stud welding are used to attached non-load carrying and non-pressure retaining parts so this does not necessarily mean a best way to fill the PQR or WPS and it might be just out of the government of ASME rules for "safety relating only to pressure integrity" without triggering anybody's concern such as the Authorized Inspector and for such case WPS/PQR act more like a routine paperwork to at least give the welding operator minimum guideline in written when an ASME Stamp holder do not want to invent a format of written welding guideline by his own. What is your construction section? I, IV or VIII, etc.?
Do you have your Company AIA of record to consult with?
Good luck!