The reason you’re not seeing an exception is because it’s not an exception, but part of the code. And THxx is not rated at 30 amps, it is 35 or 40 amps depending on the type.
240.4 Protection of Conductors – Conductors … shall be protected against overcurrent in accordance with their ampacities specified in 310.15, unless otherwise permitted or required in 240.4(A) through (G)
240.4(G) Overcurrent Protection for Specific Conductor Applications. Overcurrent protection for the specific conductors shall be permitted to be provided as referenced in Table 240.4(G)
Note in Table 240.4(G) that Article 440 (Air Conditioners), Parts III and IV are listed, along with many others.
Here is an example on how you size the circuit breaker and conductor for an AC unit, I’ll size a single AC unit with a nameplate of 30AMPs.
440.6(A) …the rated-load current marked on the nameplate of the equipment in which the motor-compressor is employed shall be used in determining the rating or ampacity of the disconnecting means, the branch-circuit conductors, the controller, the branch-circuit short-circuit and ground-fault protection…
440.22(A) The motor-compressor branch-circuit short-circuit and ground-fault protective device shall be capable of carrying the starting current of the motor. A protective device having a rating or setting not exceeding 175 percent of the motor-compressor rated-load current…
REPLY the key word here is not EXCEEDING 175%. It can be therefore less
So 30 x 1.75 = 52.5 amps. So I need a 52.5 amp breaker, I look at 240.6(A) and notice that 52.5 is not listed, but there is 50 and 60. Now I go to 240.4(B) and see that I will use a 60 amp breaker.
240.6(A) The standard ampere ratings for fuses and inverse time circuit breakers shall be considered ... (shows listing of standard sizes)
240.4(B) Devices Rated 800 Amperes or Less. The next higher standard overcurrent device rating (above the ampacity of the conductors being protected) shall be permitted to be used, provided all the following conditions are met:…(which they are in this case)
Now to size the conductor.
440.32 Single Motor-Compressor. Branch-circuit conductors supplying a single motor-compressor shall have an ampacity not less than 125 percent of either the motor-compressor rated-load current …
REPLY continues to say "or branch circuit selection current" Gotta confess I don't know what this is - adjustable trip setting maybe ??.
So 30 x 1.25 = 37.5 amps. So I’m going to assume that I am using THHN conductors and that the equipment has connections that are rated at 90C. So I’m going to use 10AWG which is rated at 40amps.
So, by following the NEC I have 60amp breaker supplying a 30amp AC unit through 10AWG conductors. Would I do it this way on a job? You bet I would. First of all, you need to install a circuit breaker that is capable of handling the starting current, as stated in 440.22(A). Do I know what the starting current is? Nope, but the code will let me go up to 175 percent of the nameplate, and more if needed. So I go up to 175% because I’m not going to place a 30amp breaker in there only to find out that in the middle of summer the unit is tripping the breaker when it starts. Am I going to use a 60amp breaker and 6AWG to supply a 30amp AC unit? No that would be stupid.
So is this safe? Sure is. Conductors need to be protected from short-circuit, ground-fault, and overcurrent (and physical damage). Generally the circuit breaker is used to provided all three of these protections, like in your house. But in the case of motors the circuit breaker is only providing short-circuit and ground-fault protection. The overloads in the starter are used to provide the overcurrent protection.
Back to the poster's question. Is it possible to place a 10awg conductor in a 60amp breaker? Yes, under certian conditions.