Update after grabbing sleep.
The thought struck me the only reason I believed the fuses were blowing was it originally worked after replacing the fuse. What if the fuses were fine and the random power failures were mysteriously coincidental?
I'd thrown the original fuse out from over a week ago, but I still had the 'blown' fuses from this Sunday afternoon. I checked all of them with the constant setting on a multimeter. All of them passed, none had failed. I even put one of them back in the plug and placed it into one of the sockets it had failed in before and hey presto, the machine sprang to life. I also took the suggestion that a 3 amp fuse should be fine. I replaced the 10 amp with the 3 amp and tried it...dead machine. With the random power failure we can expect that of course. I took the 3amp fuse out and tested it again with the multimeter. Still alive, it hadn't blown.
On the plus side, at least whatever is going wrong doesn't seem disastrous enough to blow fuses (Sorry for leading you all up the garden path).
I also should clarify something I didn't explain well in my sleep deprived state. If the machine gets power, it stays on, it doesn't go flakey after a few minutes or hours and power off. When it's on it's fine, it says on. It's just getting it on that's the issue.
In relation to Zerileous's post above regarding where the machine has been plugged in and does it work/fail in those places if tested again.
It's been plugged into four sockets...
Old surge protector for my desk
Worked for years up to and including the Sunday morning of January 29th. Failed when switching on the machine in the afternoon (First failure). Was discarded after failing the following day after checking the machine worked with a new fuse in a different socket. (Alternative study socket - see below). The surge protector may well be fine although I probably shouldn't have kept it for as long as I have.
New surge protector extension for my desk.
Worked Tuesday through Sunday. Failed on power up Sunday afternoon (Exactly one week after the original failure). Haven't checked since (awkward rethreading the power chord back through the desk, I'll do it once it's fixed). It still powers everything else that's attached to it (Monitors, speakers etc).
Alternative socket in the study (no surge protector).
Failed Sunday 29th (checking whether my old surge protector was faulty). Worked a week ago Monday with a new fuse (see above). Failed several times this Sunday. Failed yesterday after cleaning. Worked today. Failed today when tested with 3 amp fuse (see above).
Socket at the Kitchen table (no surge protector).
Worked after cleaning the machine. Failed after testing again an hour or so later.
Should also say that I've had lots of other appliances plugged into these sockets both before, during and since. All are working fine.
Zerileous -
In the US we have circuit breakers that are limited to a designated number of amps, so if more amps than the breaker allows are drawn, then the breaker trips
Same here. This property has several breakers for upstairs and downstairs lights, upstairs and downstairs sockets, separate breakers for high amp things such as the cooker and a master breaker.
None of the breakers have tripped because of the PC, in fact the last time a breaker tripped was several months ago (a halogen bulb popped in the kitchen I think).
There was another weird occurrence regarding electrical appliances in the house on Sunday the 29th though. Whether it's related or not I have no idea.
I'd passed the bedroom on the morning on the way to the study (next room along). My partners bedside light was on. I didn't think anything more about it and switched it off. I asked her about it over lunch and she said it wasn't her.
After lunch I went back up, the light was back on! Both her and the cat were still downstairs. These are touch sensitive lights, so, it's a tad weird. Actually if you want to go super spooky the cat went mental the previous Wednesday, about 4:30am. He was in the hall between the study and the bedroom, I switched the bedside lamp on and he stuck his head round the door, glaring around looking for what had maybe attacked him?
It was an odd few days, wasn't sure if I need a PC specialist or an exorcist.