My Sony Bravia KDL-46XBR4 screen
http://esupport.sony.com/US/perl/model-documents.pl?mdl=KDL46XBR4
Above is your user manual and support site, to download.
http://72.9.159.100/avs-vb/showthread.php?t=1261602
Worth a look at above, Hmmm??
http://www.eserviceinfo.com/index.php?what=search2&searchstring=sony+kdl-46xbr4
Above is your service and repair manual for download.
What is happening is there is an internal "Fault" that is causing the Protection Circuitry , to detect the problem, and attempt to shut down the set. When we keep restarting the set, it may work briefly again, because as soon as it shuts down, the "Faulty" component(s) cool down?, and the "Fault" ostensibly "Clears" so the PSU starts up again, only for the component(s) to heat up, whatever, again and fail, so it shuts down, and if left unattended, this would continue on until the part eventually failed. Any fault that involves the power supply is usually quite serious, and needs a professional, usually, unless one is familiar with servicing current day, televisions.
my professional recommendation, you should get a "Quote" for repair, from, an, Approved Service Center. Now, this point is very important for a good result, Always contact, their "Local" or a, "Head Office" Sony, in your case. Ask them, for a referral to an authorised servicing center, where you ask for a "Quote". Now, when you get the information you want, then you can decide as to repair of replacement.
The reason we want an approved agent, is that way, all the engineers are trained on their own brand sets, they have seen almost all faults, and will get the job done quicker, and for less cost, and usually have parts on hand, also sometimes, there has been a service bulletin in issued and the repair may be subsided or even free. There are many, many, many reasons that display this symptom, one must work through the troubleshooting steps to isolate and identify, the Cause and repair that and any damage done.