Supplies for things 100's of metres away from the nearest source are not at all unusual in a temporary event or other temporary scenarios (credible real world situations). The supply may only be for a small load, such as LED lighting, or small device charging and so volt drop less of an issue ...
Fair enough. The issues which concern you really only arise if the cable is so long that its resistance/impedance is too high for magnetic tripping of the MCB to occur - see below ***.
... (and a private-supply generator is likely to be set up to output a higher voltage than the nominal).
The fault currents we have been using for our calculations assume a 230V supply. If the supply voltage is higher than that, then fault currents will be higher, hence disconnection times shorter (and a longer cable length required before magnetic tripping ceases to happen.
*** On reflection, I wonder if you are not approaching this all in the wrong way. As above, the issues which concern you really only arise if the cable is so long that its resistance/impedance is too high for magnetic tripping of the MCB to occur - which is the very situation in which adiabatic calculations cease to be valid (i.e. over-estimate conductor temperature rise). However, this situation, in which 'fault currents' are relatively low is essentially what we normally think about in relation to 'overload' situations ...
... it is the assumption of BS7671 that a cable is adequately protected,
with any degree of overload, if the In of the MCB is no greater than the 'tabulated' CCC of the cable (as installed), Iz. Hence, for example, a cable is deemed not to suffer harm (undoubtedly, with a large safety margin) if a current of 1.45 x In flows for up to an hour - or for any other current for the period of time that the MCB would allow to flow before operating (per the graphs we look at).
If we were talking about someone plugging multiple fan heaters into the end of a 2.5mm² 16A radial
of any length, we would call that 'overload' and would be happy that a 16A (or 20A, or 25A if installation method allowed) MCB would provide adequate protection to the cable - so surely the same applies if a similar current flows because of an L-N fault (short) at the end of that radial?
In other words, it would seem that BS 7671 has probably already done the work for you, and has deemed that any cable
of any length will be safe from harm,
no matter what currents flow, provided it is protected by a (satisfactorily functioning) MCB with an In no greater than the 'tabulated' CCC of the cable.
...the Zs limit for C16 breakers with RCD protection is 1667ohms, per regulation 411.4.9
For what it's worth, all of 411 is about protection against electric shock in TT installations. The 1,667Ω limit arises from the requirement for the RCD to operate if 'touch voltages' of exposed-c-ps are ≥50V. As I said before, if one merely wants an RCD to operate in the case of an L-E fault then a Zs limit of 7,667Ω is adequate.
Kind Regards, John