Yes, I have the same problem. I have a Toshiba Portege Z30, and and Tecra Z40, both had the same problem from time to time . The battery/power LED contineously flash a few time, pause over and over, does not respond to anything, power button, plug in power supply or anything.
The only solution I found is disconnect the battery and reconnect, that fixes it for a few months and it happens all over again.
The trouble with that is, the battery is inbuilt. It’s a bit of a mission to disconnect the battery. You need to unscrew the bottom cover to get to the battery. This has been a pain in the arse… Never buying any Tos $@$* ba again.