Topic: SNES video output fault

When I turn on my SNES it works fine for a minute or so but then the video disconnects and I just get a NO INPUT screen. I have tested with both AV and RF, and I tested the AV cable on a GameCube and it worked fine, so it is a problem inside the console itself. I have also tested it on multiple TVs including one it worked on before. Sometimes the video disconnects almost immediately, sometimes it lasts about a minute and sometimes I could be playing for 5 or 10 minutes before it cuts out. I have only 2 possible answers: 1 the power cable I use is a third party one and it's worked fine until now but maybe it's been slowly frying my console? I don't know much about this stuff but this doesn't seem very likely to me because it has worked for almost a year already.
2 I have just moved house and it was working fine before we moved but it has been since we moved it has stopped working. Could it have been knocked? This also seems unlikely because we just moved 1 street along so it would be unfortunate if it got knocked in that short space of time. It was a freezing day that day, so could it have been because it was exposed to very low temperatures? (I hadn't played it for 2 months or so before moving though so it may have started way before that I have no way of knowing)
TECHNCAL DETAILS:
Original model SNES PAL version
bought second hand on Ebay almost a year ago
Third party charging cable
N64 AV cable used
Bottom of console says its model number SNSP-001A (UKTV) (Idk if that's useful or not)

Any suggestions for the cause of the problem and how it could be fixed would be greatly appreciated, although I only got it a year ago it was the first retro console I bought when I got into old games so I find it quite sentimental. Thanks for reading this absurdly long over-explained problem!

@MrMoomooface I've seen MUCH more long winded posts So, you're ok.

When a computer boots up, but then shuts down, it can be because a fan won't work, so it shuts down to avoid overheating. I'm not sure if that logic applies to older consoles, though. Do you know anyone else with an SNES, so you can test your console with their power cord? - as an effort to rule out the power cord.

My only other idea, would be to look for somewhere that fixes retro consoles. I'm in the US,and cant make a recommendation for your area.

@WoomyNNYes Ah well, thanks for the help