sounds like the internal psu went out
what model ps3 is it that you have?
no lights is normally complete power loss
as most of the main board failures still provide the red light on most fat ps3's as far as ive seen
if you can find someone with a matching fat or matching slim ps3 that will let you test the power supply in your ps3 then that will help narrow down wither its the psu or not
just switch in the power supply, ad power cord and if you git the red running light your good
do not power the unit on without the proper psu for your ps3 though, just test it with the off red light
cecha01 and different slims have different running power due to the differences in the main boards but all have the same off power running to the red light
DO NOT TRY TO USE A FAT PS3 PSU IN A SLIM PS3 or vise-verse
your looking around$15 to $40 for a fat psu and $25 to $50 for a slim
if you have a cecha01-cechb01, make sure to git a psu for that model as it has a 3rd power mode for ps2 games