A method for identifying a fault location in a power transmission line , the power transmission line having three or more terminals connected at one or more junctions, with at least a first terminal , a second terminal , and a third terminal connected at a junction , wherein a first section connects the first terminal and the junction , a second section connects the second terminal and the junction , and a third section connects the third terminal and the junction , the method comprising: obtaining synchronized disturbance records (DRs) from each of the first, second, and third terminals after a fault has occurred in the power transmission line ; computing pre-fault voltage and current phasors and during-fault voltage and current phasors for each of the first, second, and third terminals based on the disturbance records; computing, using an assumed faulted section from among the first, second, and third sections, values for propagation constant of each section, surge impedance of each section, and a fault location parameter, wherein the computing is based on simultaneously solving a plurality of pre-fault objective functions and during-fault objective functions for the assumed faulted section with the computed pre-fault voltage and current phasors, during-fault voltage and current phasors, and lengths of each section, and wherein the pre-fault objective functions and during-fault objective functions are formulated based on equating junction voltages determined from two of the terminals, conservation of charge at the junction, and equating fault location voltages determined from one terminal and the junction; comparing the values determined for the propagation constant, the surge impedance, and the fault location parameter with predefined criteria; and determining a faulted section, the fault location, and the line parameters for each of the first, second, and third sections, based on the comparison. obtaining synchronized disturbance records (DRs) from each of the first, second, and third terminals after a fault has occurred in the power transmission line ; computing pre-fault voltage and current phasors and during-fault voltage and current phasors for each of the first, second, and third terminals based on the disturbance records; computing, using an assumed faulted section from among the first, second, and third sections, values for propagation constant of each section, surge impedance of each section, and a fault location parameter, wherein the computing is based on simultaneously solving a plurality of pre-fault objective functions and during-fault objective functions for the assumed faulted section with the computed pre-fault voltage and current phasors, during-fault voltage and current phasors, and lengths of each section, and wherein the pre-fault objective functions and during-fault objective functions are formulated based on equating junction voltages determined from two of the terminals, conservation of charge at the junction, and equating fault location voltages determined from one terminal and the junction; comparing the values determined for the propagation constant, the surge impedance, and the fault location parameter with predefined criteria; and determining a faulted section, the fault location, and the line parameters for each of the first, second, and third sections, based on the comparison. <EOS>