You should take a look at this article in PinWiki.

http://www.pinwiki.com/wiki/index.php?title=Star_Trek:_The_Next_Generation#Diode_.22Tie_Back.22_missing_causes_8-Driver_Board_transistor_to_fail

Also:
The TIP on the 8 driver board is most likely blown. Again ??
Also think about replacing the pre-driver. It might look good without load. It's not expensive and only takes a few minutes to solder when the board is out anyway.

Final thing...
On the picture - it looks like the Solenoid is an AE-23-800 ??? Please chek. I think (but not sure) it should be a AE-23-1000.

Yes – those solenoids (and diodes) …

Yes – different solenoids will have different resistance (Ohm). So replacing a solenoid with one that does not meet the specs can possible result in drawing more current through the transistor – thus burning it.

So – my advice would be to repair the driver and pre-driver transistors. And check the tie-back by measuring continuity. Don’t go for a visual inspection alone!! Either measure it and make sure it’s good, or go for one of the instructions I linked to at PinWiki. If you don’t make sure the tie-back is good, you’ll risk burning transistors and the diverter solenoid again!!

Regarding connections there is good help to be found in the Operations Manual. You can find a PDF version on ipdb.org.
STTNG: http://www.ipdb.org/machine.cgi?id=2357
Or use this direct link: http://mirror2.ipdb.org/files/2357/Williams_1993_Star_Trek_The_Next_Generation_Operations_Manual_with_OCR.pdf

In the Operations Manual on page 3-24 you’ll find the illustration shown below of the connections for the 8 driver board.

Reading it you can see that
J1 is for the ribbon cable (which you did not attach on the pictures. Remember red wire goes on pin 1)

J2 pin 1 is black
J2 pin 2 is key (pin “missing” on the male connector)
J2 pin 3 is gray
J2 pin 4 is black
J2 pin 5 is black
J2 pin 6 is gray and green

You can read the rest yourself
But note that all connectors are in use on the 8 driver board.

In the manual you’ll find the same information about the power driver board. Only difference is that this board has so many connectors that the information is spread over 3 pages. You’ll find the information you need on page 3-33 to page 3-35. Also note that not all connectors on the power driver board is in use. N/C means Not Connected. So when you ask about J105 you can see that it’s not in use since all pins says N/C.

Good luck!
Henrik

8DB connections (resized).JPG