These units IIRC were made by ITT/STC Harlow around 1966. They have essentially the same linear analogue circuitry as the Advance PSUs of the same period. From memory( a bit shaky these days) , the regulators were 3055? transistors. The circuit was a transformer, bridge rectifier, large reservoir capacitor, Zener reference diode, buffer amplifier and series regulator. With load and over current sensing. Can't remember any more details, but the circuitry was common to a number of manufacturers.
I would split the problem into two parts. Firstly all the power transistor effectively forming one dirty great emitter follower. So put a modest load on the output - a filament light bulb say and drive the base of the mega emitter follower with a pot connected to the input DC supply. you should be able to vary the output voltage with the pot. If any of the pass transistors are short circuit the lamp will be at max output all the time. Assuming voltage out changes then somewhere each transistor should have a small emitter resistor to facilitate current sharing. Measure the voltages across all these and confirm they are around equal. if some are different then the relevant transistors are not sharing and maybe open circuit say.
Part 2, With a current limited bench supply, you should be able to fire up the control board with reference to a 723 data sheet and close the loop around that in isolation and prove that will regulate small loads just using its diver transistors. Obviously you will have to re-do the solder joints on those pins to get any sense out of it. Take a logical approach, keep notes on what you are doing and you should have a good chance of sorting it out. 723 regulators are not rocket science but there are lots of opportunities to prang it especially with lots of charged up uFds if you are not careful.
I'm sure there are lots of 723 datasheets/application notes online but if you are really stuck I could scan one for you.
Watch out if they implemented foldback current limiting. It can lead to some strange effects ie errors lead to the regulator not starting up etc.
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