For cable heating at limited time see EPRI-Power Plant Electrical Reference Series vol.4 ch.4.4 cable sizing.Ampacity. Evaluation of Conductor Temperature Under Transient Conditions.
or:
IEEE 242/2001 CH.9.5.2.4 Development of intermediate characteristics:
“Cable, with the thermal inertia of its own and of its surroundings, takes from 1 h to 6 h to change from initial to final temperature as the result of a current change. Consequently, overloads substantially greater than its continuous rating may be placed on a cable for this range of times.”
If the 600 V cable lays on a free air-on racks, for instance-a cable of less than 2 awg the thermal constant K is only 20 min [0.33 h] but a cable with copper conductor more than 250 MCM directly buried in ground K will be 6 hours.
By-the-way, in my opinion IEEE 399 does not specifies the maximum ambient temperature but it indicates usual limits. The following chapter states the adjustment factors if the ambient could be different from “usual":
IEEE 399/1997 ch.13.4 Ampacity adjustment factors.