Johnw2 i think the t that you can calculate is not really the disconnection time, i think your confusion is caused by assuming that. Actually the graph shows the "effective" i2t that you should use even though the mcb can't move that fast, presumably taking into account ac cycles and inductances and all the rest.
I once thought that, but when I started thinking, it didn't seem to make much sense.
Apart from anything else, adiabatic equations like the one presented in 543.1.3 of BS7671 are written in terms of the PFC ("I") and the disconnection time of the device at that current ("t") (those variables being defined as such) -
NOT in terms of "I²t" (as an 'entity'), let alone "effective I²t". Hence if the manufacturer's data refereed to some sort of "effective I²t", calculations based on it (rather than true I and t) would seemingly be 'non-compliant'.
In any event, just from 'basic principles', I²tR (where I is the current, t is the period for which it flows {until disconnection) and R is the resistance of the conductor) undeniably
IS the amount of energy dissipated in the conductor as heat and, if adiabatic conditions pertain (i.e. not enough time for appreciable heat loss from the conductor), then all that heat will be reflected in the temp rise. Hence, from adiabatic principles, it
IS "PFC squared times disconnection time) that matters.
As I've said, I think it is rather confusing that protective device performance curves generally plot t against I for disconnection times down to 0.1s (sometimes 0.01s), but plot I²t against I for shorter disconnection times (although the 'stylised' MK one I posted yesterday goes down to below 1ms). However, have now done a fair bit of looking around, I'm becoming increasingly inclined to believe that the published I²t/I curves are nothing more than a (convoluted) 'downward continuation' of the more familiar t/I ones.
If the "I²t" plotted in the published curves related to anything other than "I squared times t" (i.e. "PFC squared times disconnection time"), then it surely should say so. If is
does mean that, then it is trivial to turn an It plot into a t/I one.
Are there flaws in anything I've written above? One issue is that of disconnection times less than one cycle, but (given that the time of onset of a fault is unpredictable), I would think that one has to assume the 'worst case' - of current flow being centred on the peak of a cycle.
Kind Regards, John