While it could be a power supply problem, I doubt it. The best way to know would be to disconnect the leads (plugs) that output from the power board I suspect the voltages will come up and be stable.
What I have seen in several sets like this is the problem is the "main" with all the micro surface mounted chips. On several I have been able to with the back of get a small high speed fan against this board (the large flat pack chips) and see the set suddenly stay on and work.
This is not a cure--just a way to see if the problem is there. The set is shutting off/on because something is pulling the voltage down or not correctly giving commands.
See attached photo---it should be what the board in the model indicated looks like.
All of these sets it is a matter of trying to determine which board the problem is on and then cross your fingers and REPLACE it to see what happens--not much actual "parts" replacement is possible.
The only thing to also look at is that NONE of the filter caps on the power board are puffed up on top etc---
MOST OF THE TIME THIS KIND OF PROBLEM IS CONTROL RELATED AND NOT POWER SUPPLY.
Look at the picture and let me know what questions you have.
SD TECH