As long as the terminations are rated for at least 75C on both ends you can use #10 wire and protect it with a 55 amp breaker. The breaker will only be providing short circuit protection for the wire. The overload protection in the compressor will protect the wire from overloads. If either the circuit breaker or compressor are only rated for 60C conductors you will need to use #8 since #10 is only rated for 30 amps. If these branch circuits are very long you might want to calculate the voltage drop to make sure it meets the manufactures requirements.

Curt


Curt Swartz