Changing the sensitivity of the breakers would not actually reduce the short circuit current.
What it may do, is to reduce the time for the breaker to operate, this means that the current carrying conductors are exposed to the short circuit current for less time.
This in turn then reduces the amont of heat build up in the cable.
There is a big disclaimer here, circuit breakers being mechanical devices will always take at least a certain time to operate, no matter how great the short circuit current, so you would need to check the manufacturers spec on the breakers first, if the circuit impedance is already such that it means the circuit breaker is already operating in such conditions, then changing for a more sensitive one will not do a great deal.
The idea is to calculate your nominal cable sizes, from this you can calculate your circuit impedance.
Once you have your circuit impedance you can then calculate what the short circuit current will be.
The idea is that your cable must withstand this current, without melting of exploding, until the protective device breaks the circuit.
When you look at specifying a supply circuit, you obtain your data from the manufacturers of the cable, this will tell you the impedance per yard/metre and it will also tell you the maximum power dissipation of the cable, both continuous and short term, usually as a collection of curves on a chart.(There are standardised charts in various EE handbooks)
If you are not able to obtain this data, or the operating conditions are unusual, such as a very warm environment, then you can calculate this yourself using the adiabatic equation.
S = sqr rt( I[sup]2[/sup] x t)/K
Where,
S = cable size in mm[sup]2[/sup]
I = r.m.s fault current in amps(not counting any limiting effects of the circuit protector)
t = disconnection time of the protective device(fuse, tripping breaker or whatever, given the amount of current flowing) - you probably need manufacturers data for this.
K = this depends upon the method of installation, and things like how the cable is affected by crowding in cable trunking etc, and its in this number you can include the ambient temperature (eg for copper cables, in PVC insulation, and bunched k=115) - there are charts available for this in the wiring regulations books.
The above comes with one particular assumption, that the circuit is disconnected rapidly, certainly less than 500mS as the temperature rise in the cable would change the circuit impedance and so change the short circuit current, and in practice far faster disconnection than this is almost always achieved.
You can rearrange the adiabatic formula to derive the unknown value you seek, see link.
http://www.tlc-direct.co.uk/Book/3.7.3.htm
in fact a reasonably simple and authorative explanation of what we are trying to achive is here, from the same source.
http://www.tlc-direct.co.uk/Book/3.7.1.htm
It is not unusual to have to change the protective device following modifications to a supply system, extra bits are often added on but to make it more economic, you can reduce your cable sizes sometimes if you put in a more sensitive breaker.
The limiting factor in cable sizes is usually not the actual current demand, but more often the requirements of short circuit handling, it often means you use a larger cable for this than would normally be expected for the normal operating conditions.
This is because, the larger the cable cross section, then the lower its impedance, this will increase the short circuit current, and trip the protective device faster.
Added to this, the larger cable will be able to withstand this higher current for longer as it takes longer to heat up.
A good example is perhaps where you have a circuit with rewirable fuses.
The time to disconnect these is much longer than a trip breaker, so if you had those fuses, you may well find that a change of protective device will allow you to extend or modify your distribution system and stay within the wiring codes.
I’m doing a lot of this from memory so my explanation might not be too clear, it must be over 15 years since I had to do most of this kind of stuff.