On a practical level is there any advantage to be had with a three phase supply to non commercial premises.
Over and above that. can anyone explain (in language easily absorbed by this idiot) what the difference is between the two? (Other than one being single and the other being triple of course)
Essentially, you can transfer more power with less copper in the cable for a given amount of power loss in the cable, which is why most of the transmission network is 3 phase.
In terms of its' advantages to the consumer, you can make a 3 phase induction motor much more efficient than one operating from single phase, both in terms of power consumption and physical size.
Because the power is delivered to the load constantly, rather than with a 100Hz interruption in current flow, vibration in motors and other equipment is reduced and applications where the mains is rectified to DC work much more effectively on 3 phase power.
Think of it as power delivered from a
proper V6 engine (a power stroke every 120 degrees) as opposed to a 2 cylinder 4 stroke engine (2CV / Fiat 500?).
For this reason, and because, for large loads, it's important for the supply network that the load is evenly balanced between the 3 phases, the 3 phase mains from the grid is continued into the premises for industrial applications but a home is typically fed only one of the phases.
Kevin