IBM Thinkcentre desktop doesn't boot up, green and orange LEDs on power supply

Solution 1:

Well, according to THIS documentation that describes how to interpret the three LED indicators that you find on a ThinkCentre power supply, the only scenario that shows the Yellow one being on results in needing to replace the power supply.

Just curious... if you remove all the cables from the power supply... meaning that you disconnect the cable that connects the power supply to the wall... how do you get powered LEDs? When you said that, did you mean that when you disconnect the power supply from the motherboard? If so, that's not an indication that the power supply is good. The Caution indicator (amber) could kick on when there is a load on the power supply.