Manual calculation of short-circuit current in a complex network may be difficult to perform. Any network configuration can be reduced to a simple equivalent scheme, usually referred to as "positive-sequence equivalent diagram". It consists of an equivalent e.m.f. (E – line to neutral) and equivalent positive –sequence impedance (Z). In simplified calculations, the latter is replaced with the reactance (X). Then, the three-phase, steady state short-circuit current at the fault location is the ratio E to X.
Knowing the branches' reactances the current in each branch can be calculated.
This approach might be applicable only for three-phase faults and provides reliable values for switchgears, current transformers, and cables sizing. In general, it is not possible to calculate in this way: subtransient, transient and aperiodic components.
The case becomes much more complicated for phase-to-phase and phase-to-ground faults. Besides, negative and homopolar-sequence network must be considered, the latter for phase to ground fault only. Symmetrical current components (positive, negative and homopolar-for phase to ground fault only) must be calculated and then the phase current at the fault location, based on symmetrical components.
Much care should be exercised when calculating the equivalent reactances: all must be calculated at a base voltage, usually the normal operating voltage at the fault location, transformers' connection must be also considered and so on.
Useful information can be found here:
CT-158.
Manual calculation of short-circuit current in complex networks is difficult and time consuming.
There are available many programs that accurately solve the problem. I would recommend EDSA, SIMULINK/MATLAB and ABB DOC win.