For a distance of 450 feet, you would need, 2 sets of #4/0 (parallel 6 conductors) for aluminum, or 1 set of #350 copper.
80% loading of service and a 3% voltage drop.
Consult your local power company for exact requirements of their codes.
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For a 450' run with a 200 amp service, you will need to use at least 3/0 AWG copper wire for direct burial to ensure minimal voltage drop and to meet electrical code requirements. Always consult with a licensed electrician or local building code authority for specific guidance on wire size and installation requirements for your project.
The conductor can be pulled into conduit and then buried but it is not certified for direct earth burial.
The frequency has no direct relationship to the size of wire. Wire is sized as to the amount of current a load draws in a circuit.
For a 200A service, the recommended copper wire gauge for service entrance cable is typically 2/0 AWG (American Wire Gauge). This wire size is able to handle the ampacity required for a 200A service safely and efficiently. It is always recommended to consult with a licensed electrician to determine the appropriate wire size for your specific installation.
For a 100 amp service, a common feeder wire size would be 2 AWG (American Wire Gauge) copper or 1/0 AWG aluminum. These sizes are appropriate for handling the current capacity needed for a 100 amp electrical service. It is important to consult with a licensed electrician or local building code requirements to ensure the proper wire size for your specific installation.
For a 70 amp service at 240 volts, you would typically use a wire size of 4 AWG copper wire. This wire size is suitable for carrying 70 amps of current safely over a 240 volt circuit. Be sure to consult local electrical codes and regulations to ensure compliance with requirements in your area.