The A/C manufacturer has done this before and he knows what he is doing.
Those numbers are based on the Electrical code. The electrical inspector will accept an installation based on those numbers.
Those numbers take into account the tripping characteristics of the breaker and the starting characteristics of the motor.
What is the full load current of the compressor.
Minimum circuit ampacity may be the sum of any fans plus 125% of full load current.
From 23.6 Amps I will assume that the full load current is 23.6A/125% or 18.88 Amps. Round that off to 19 Amps.
The generator should have reserve capacity of 3 times that or 57 Amps.
Take the base load which will be connected when the A/C starts and add 57 Amps.
Note:
For 120 Volt loads, use the Amps of the most heavily loaded line. (ie: if there is a 4 Amp load on line 1 and a 6 Amp load on line 2, use the 6 Amp load as the base load.)
For Standby generators, use the listed generator current.
For Prime Power sets, use 110% of listed generator current.
Bill
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"Why not the best?"
Jimmy Carter