When a short circuit fault occurs on a transmission line, it is necessary to quickly and correctly locate it to repair the faulty section, minimize the line outage time transmission and restore power delivery as soon as possible. Therefore, developing a robust and accurate fault localization technique under various fault conditions is a very important research area. In some low power density areas, utilities are connected to an existing transmission line using a spur line due to economic benefits. Such a configuration of transmission lines presents great difficulties in the fault localization task when the fault resistance is not negligible due to the supply currents from different sources. So far, several fault localization algorithms have been developed for three-terminal transmission lines [1– 18]. Several algorithms assume that data is available at the local terminal, known as one-end fault localization techniques [1-3]. Power currents and fault resistances are sources of errors in these fault location algorithms. Many other algorithms use data from more than one terminal. In [4] the synchronized voltage and current waveforms measured at all three terminals are used to calculate the fault location. The authors used default measurements on three terminals to synchronize the waveforms. An alternative approach is presented in [5] which similarly uses measurements from all three terminals of the transmission line but does not require synchronized data from all terminals. Using an iterative algorithm, the synchronization error is estimated and the fault location is obtained. This algorithm considers the lumped model of the transmission line in its calculations. This simplification leads to an increase in the estimation error...... middle of paper ......final transmission lines using two-terminal synchronized voltage and current phasors,” IEEE Trans. Power Delivery, Vol. 7, n.3, pp. 452-459, July 2002.[15] C. Y. Evrenosoglu, A. Abur, “Traveling wave-based fault location for teed circuit,” IEEE Trans. Power Delivery, Vol. 20, no. 2, pp. 1115-1121, April 2005.[16] M. da Silva, M. Oleskovicz, D.V. Coury, “A fault locator for three-terminal lines based on wavelet transform applied to synchronized current and voltage signals,” TDC '06. IEEE/PSE, pp. 1-6, August 2006.[17] Z. Q. Bo, A. T. Johns, and R. K. Aggarwal, “A Novel Fault Locator Based on Detection of Fault-Generated High-Frequency Transients,” in Proc. IEE Development Conference on Power System Protection, 434, pp. 197-200.[18] F.H. Magnago and A. Abur, “Fault Localization Using Wavelets,” IEEE Trans. Power Delivery, Vol. 13, pp. 1475-1479, Oct. 1998.