For Service Entrance Cable 600 kcmill (Thousands of circular mils).
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250 MCM aluminum minimum
A 100 amp service requires that you use AWG 4 copper wire or AWG 2 aluminum wire.
A 3/0 aluminum conductor will limit the voltage drop to 3% or less when supplying 150 amps for 150 feet on a 240 volt system. This size will allow the conductor to be loaded to 120 amps. 150 x 80% = 120 Conductors are only allowed to be loaded to 80% or their rated capacity. If you need the full 150 amps then you would need to use a wire with a rating of 190 amps. 190 x 80% = 152 amps A 4/0 aluminum conductor will limit the voltage drop to 3% or less when supplying 190 amps for 150 feet on a 240 volt system.
A #3 copper wire with an insulation factor of 75 and 90 degrees C is rated at 100 and 105 amps respectively.
For a 3200 amp service, the appropriate wire size will depend on several factors, including the type of wire (copper or aluminum), insulation type, and installation conditions (such as ambient temperature and conduit use). Generally, for copper wire, you would typically use 2500 kcmil or larger, while for aluminum wire, you might use around 3500 kcmil or larger. It's crucial to consult the National Electrical Code (NEC) and a qualified electrician to ensure compliance with local codes and safety standards.