Thank you for your help but I don't see any warnings on reels of 30/32 amp cable. They don't say the maximum run length is limited to 10 metres or anything. This heavy duty cable is designed to carry 30/32 amps. I'd be amazed if there's any significant resistance, risk of overheating or any other adverse consequences.
There's no way I'm operning up my main fuse box to add a new circuit. I can't isolate it, can I? That's what I'd call risky! Even I would call in a professional electrician to do that but it would be far too expensive. I'd sooner spend the money on a Lorch.
Another member sent me a PM which asks whereabouts I live, what I'm trying to achieve and whether I really need a high power supply. Sorry, but I can't say where I live or the Council might be round tomorrow! But thanks for trying to help.
Taking everything into account, I'll probably revert to plan 1 and use a cheap junction box. I don't need a bulky, expensive socket and plug, especially if it still won't meet the regulations. It will only be loaded for perhaps 1 hour per year. I just want the headroom of a 30/32 amp supply line, rather than risk blowing a 13 amp supply.
Thanks everyone for the latest batch of posts. There are some very good links and suggestions there and your comments are most helpful. I'm now sure that 2.5mm cable is out and I need to determine whether it's safe to use 4mm cable, given I'm highly unlikley to plug in anything drawing above 20A. That's similar to using a 6A extension lead on a 13A socket: you just make sure not to overload it. 6mm would undoubtedly be best but may be too expensive and a bit OTT for my needs, below 20A.
There's a table here which gives details of volts, amps, voltage loss, etc:
http://www.alertelectrical.com/upload/pdf/32962423Y.pdf
Why the discussion on 2.5 cable if we are talking cooker circuits ???
Thats unsafe even for the cooker !!!