In the UK we have a 3-phase transmission system which most of our industry uses at 415Volts.
One phase measured down to neutral gives 220 Volts so it is very convenient to ensure that domestic systems operate at this voltage rather than put in tranformers to bring it down further.
We do use 110Volts in certain installations though, in temporary installations such as building sites especially, what is more this is centre-tapped to earth so that the maximum shock that can be delivered through a person to ground is 55Volts, it is possible to get a shock between two lives of 110Volts but this is a much less likely ocurrance.
As for using 50Hz of 60Hz or even 400Hz up to the 1100Hz is have seen used in gyro compasses, well there are some trade-offs to be made.
A tranformer designed to carry a certain power(not exactly the right term but near enough)can be made smaller if the frequency is increased, but doing this also increases the reactive element too which can be a serious limitation in high current systems.
When we talk about power systems we look the the useful work that can be accomplished and we call this ‘true power’.We can do straightforward calculations on this and they would show that the power which appears to be there ‘apparent power’ is larger than the ‘true power’.
This differance between the two is called the ‘reactive power’.This power is 90 degrees out of phase with the true power.
The actual power that the cable ‘see’ is a combination of these elements and is greater than either, Pythagoran triangles are useful to visualise this but more sophisticated methods are used in practice.
By increasing the mains frequency we increase that reactive power, but without increasing the useful true power, hence the cables, circuit breakers and the rest of the distribution system ‘sees’ a greater current, this limits the amount of useful work available in a network.
In certain industries, most notably aviation and space, weight is a very important consideration and increasing the circuit frequency allow the use of physically smaller, and thus lighter, transformers and motors.
erislover
UK supplies - we have differant ways of connecting depending upon the local circumstances, a consumer with its own high voltage feeders, such as a large farm or factory will often have an incoming earth from the supply plus this will be linked to earth electrodes driven into the ground.
In such cases neutral and earth are at virtually the same potential but for a few, important at times, tenths of and Ohm.
Most domestic premises operate from one phase of a 3-phase transformer which is star connected on the secondary, the star point is earth connected direct to ground and this is where the neutral returns to.The neutral cable has impedance from the consumer to the transformer star and this combined with the current being consumed is responsible for our neutral being a fraction of a volt above earth.
As you are probably aware the star point of a balanced transformer is at earth anyway so tying that point to earth is a way of fircing it to stay there when coping with out of balance currents, particularly under fault conditions.
If you are a a generator of power, large enough to supply the grid network, it is vital to have a certain amount of resistance between neutral and earth because the potential fault currents are absolutely immense, you will always find a large tank full of a very mildly conducting solution, such as bicarbonate of soda dissolved in water, acting as a low value resistance with massive power handling characteristics, and this is called the neutral-earth resistor. This resistor can be switched in and out of circuit dependant on the network requirements to deal with either out of balance currents or third harmonic currents.
When it is out of circuit the neutral is referanced to earth through the network lines.
There is provision for completely floating supplies in the wiring regulations but I have never seen them in the UK though aparrently there are some consumers in Europe who are supplied via long lines on poles who are.
Nearest I have seen to power lines not referanced to earth in any way is in very specialist lab conditions in very carefully controlled earth-free zones and I believe it is done to some extent in the anodising/electroplating industry but at very low volatages indeed, around maybe 5Volts - don’t quote me on the latter though as I could be wrong