As I understand it- It's notifiable work- meaning the local council gets/should get notified.
An electrician would take the feed from the consumer unit in your house. A new circuit would be added to that unit if there is space for it and if it is safe to do so. If not you may need a new consumer unit.
The new circuit will be protected by a breaker fitted in the house consumer unit. This breaker will be selected according to the load characteristics. There are different types of breakers. If you are running hobby workshop stuff it will be a normal domestic breaker rated according to the expected load. Eg you can run roughly 5kW absolute max from a 32 amp circuit. You may need a higher rated breaker if you are going to run more (or if the design of the circuit demands it), and you may just possibly need a different type of breaker that won't trip if you have the kind of (industrial) motors that create large starting currents.
Cable selection- Steel Wire Armoured (SWA) cable can be buried in the ground. The depth needs to be deeper than any forseeable disturbance. The size of cable (cross sectional area) depends on the current to be drawn and a volt drop calculation. (longer cable runs cause volt drops- volt drops above 5% aren't allowed- solution, fit a bigger cable, less resistance, less volt drop, but maybe now you have a bigger cable you need to do other stuff too)
At the workshop end, you'll need a small consumer unit selected for the environment- steel clad, in other words. Inside will be an RCD and two or three breakers for the circuits in the workshop. You need the RCD because you are outside the equipotential zone (the house).
So you have a breaker in the house feeding an RCD and breakers in the workshop. It all has to work together, be carefully protected by the correct breakers and RCD and comply with the regulations (BS7671, a big book about an inch thick). If you change cable from SWA to twin and earth when you get to the house as has been suggested above my understanding is that you need to fit circuit protection (a small CU and breakers, maybe an RCD, not sure) there too, at the point where the cable changes.
There are two ways to do it- 1. Get an electrician who is registered with one of the trade bodies and will give you the proper test certs and notify the work properly.
2. Do it yourself, but legally. It means getting advice from your local building control dept at the council- usually they will approve your installation plans, and test it for you after it's fitted. They charge though. If you want to read up on it try Basic Electrical Installation Work by Trevor Linsley.
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