Here's a discussion thread about doing just that:
www.ocforums.com/showthread.php?t=88976
WIth ATX PSUs you don't need relays or anything, just connect the
grounds together (bolt both PSUs to the same metal case) and tie the
Power-On wires together. On standard ATX PSUs this is the green wire
that's between two black ground wires, but on proprietary Dells that
have only one orange wire on the 20-pin mobo connector, it's the grey
wire on pin 11. If your Dell's 20-pin connector has a green wire and
at least three orange wires, then it's standard ATX style. If you have
one PSU of each type, then it's still OK to tie the green Power-On wire
of the standard ATX to the grey Power-On wire of the proprietary Dell.
20-pin Dell connector Standard 20-pin ATX
connector
1. +5V (red) 1. +3.3V (orange or
brown)
2. ground (black) 2. +3.3V
3. +5V 3. ground (black)
4. ground 4. +5V (red)
5. Power_Good status (orange, nonstandard) 5. ground
6. +5V Standby (purple) 6. +5V
7. +12V (yellow) 7. ground
8. -12V (blue) 8. Power_Good status
(grey)
9. ground 9. +5V Standby (purple)
10. ground 10. +12V (yellow)
11. Power_On (grey - nonstandard) 11. +3.3V
12. ground 12. -12V (blue)
13. ground 13. ground
14. ground 14. Power_On (green)
15. -5V (white) 15. ground
16. +5V 16. ground
17. +5V 17. ground
18. +5V 18. -5V (white)
19. blank 19. +5V
20. +5V 20. +5V