Xbox power supply have different specifications for each series from the Xbox itself. An example of that difference, for example in power output and voltage input from the Xbox.
If you want to replace your Xbox power supply, the first thing you need to consider is the specification of your Xbox power supply. Xbox 360 power supply specs can be found at the bottom of the power supply. You should replace your Xbox 360 power supply with the same specifications to ensure your Xbox console to work safely.