You should first try an SMC Reset before assuming the power supply fuse is out.
Remove the AC power cord. Press and hold the start button to discharge the power capacitors. Restore power cord. (If it sparks a little, this is not a blown fuse problem.)
Attempt to power on as usual.
There is a fuse inside the power supply, but the supply and its octopus of wires must be removed from the machine and the metal box must be opened to get access to it. It is VERY unusual to blow this fuse -- i have never seen a report of a blown fuse here.
Another possible issue is the 3 Volt non-recharging coin cell used to maintain the parameter RAM. If it is old and it is below the nominal value, it can fight with the 3 Volt always-on power supply needed to start up.