Well, where do i start out first. OK, if you have NO experience with the high voltage section of a TV set, or do not know how the high voltage circuit works, I would stress, DO NOT ATTEMPT this repair. There is enough High voltage in this set to kill you! Or at least make a grown man cry! The fault codes in the manual is only a guide for the service man to get an idea where to look for the problem that the TV set has. It is not fool proof and it is not always the part bad that it may suggest. But sometimes it is. They are the same chassis numbers, both of the models you mentioned, but there are differences in part numbers, and i do not remember if the part numbers for the two parts are the same. Both the high voltage block and the flyback transformer are available HERE The part number for the flyback transformer is, 148328521, and the high voltage block is 8-598-955-32 for the model KP51WS510. I know a lot of techs that do replace both at once, but I have found out, most of the time it is one or the other that is bad. If you do decide to do this repair, BE CAREFUL!! Good Luck with this repair , and let us know how it turns out for you.
"Those who do not know their opponent's arguments, do not completely understand their own".**For complete TV repair kits including parts goto www.TvRepairKits.com