e as in 14 15 finally one obtains the set of 4 equations 14 17 in four unknowns real i tb1 pre imag i tb1 pre real i tc1 pre imag i tc1 pre which after solving gives the required pre fault phasors of currents from the remote terminals b and c the fault current distribution factor for the positive negative sequence can be obtained analysis of the flow of currents in the circuit diagram from fig3 substitution of the fault current distribution factors 18 into the general fault model 6 results in the quadratic formula for complex numbers analogously as for the case of faults occurring in the section at 5 its solution is also straightforward formulation of the remaining subroutine sub_c can be performed analogously as it was presented for the subroutine sub_b for this purpose the equivalent circuit diagrams as in fig7 8 9 are considered the final step in the fault location algorithm relies on selecting the valid subroutine i e on indicating which the subroutine yields the results corresponding to the real distance to fault and fault resistance the subroutine which yields distance to fault outside its line section and or negative fault resistance is surely false and has to be rejected if this is not so the other criteria have to be considered in the carried out study the following criteria quantities were utilized total fault currents in faulted phases ought correspond to the measured currents amplitudes of tbtal fault current in healthy phases ought to be close to zero embodiments of the present invention also include a.