Either #3 Copper or #2/0 Aluminum.
Need to know what size service is going to be installed at the end of the run.
Service entrance wire should be AWG #3 copper.
On large service entrance services the neutral can be reduced. The amperage of the service and the voltage of the service and the insulation factor of the 500 MCM conductors need to be stated to answer this question correctly.
As a service entrance wire you need AWG # 3/0 gauge copper.
You need to look at the regulations that apply in your country. If in doubt, use a neutral wire of the same size as the live wire or wires.
Work out the number of circuits that would will need - each circuit needs a fuze.
This can't be answered without knowing the voltage, and ground is not the same as neutral, in AC circuits, which I'm assuming this is.
500 mcm
Need to know what size service is going to be installed at the end of the run.
2AWG.
Answer for USA, Canada and countries running a 60 Hz supply service.240 volt two wire circuits loads do not need a neutral to operate. A three wire 240 volt circuit that needs a neutral, will have a neutral the same size as the current carrying conductors. In this case a #10.
Electricians use a service entrance calculation to figure what size entrance to use. There are computer generated programs that you input all the information on the home such as rooms and sizes then it will give you the size, then this is checked against the local codes officer to make sure they agree with the service. The old fashioned way can be done but the program is faster. So all the rooms, and sizes and equipment that are in a home determine what size is to be used. Although computer programs may be faster, you would still be required to know how to do these calculations yourself on a licensing exam. Load calculations are based on the square footage of a building and type of occupancy, plus special loads added to that. You must follow the current version of the National Electrical Code: Article 220 Branch Circuit, Feeder, and Service Calculations. Article 210 Branch Circuits give requirements for the number of branch circuits.
Fifty
five
For a 200amp service you need number 4 copper
The size of the sub-panel is dependant upon the total load amps of the devices you want to connect. Take into account if more that one device will be or could be running at one time.
You have two options, one is a complete service change. The average house service these days is 200 amps 42 circuits. The second option is to install a sub panel off the existing service. Depending on how many circuits you need will govern the size the sub panel. Here is where it gets tricky. Two side by side single pole breakers or one two pole breaker will have to be removed from the original service panel and replaced with a new two pole breaker. The size of this breaker will be governed by the total load of the new sub panel. The wire from the new sub panel to the two pole breaker is also governed by the load of the sub panel. As an electrician I would recommend that you not do it yourself but get a qualified electrician to do it for you. He would (should) take a permit out for the job and get it inspected.