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This paper presents a novel fault location algorithm, which in spite of using only voltage samples taken from one terminal, is capable to calculate precise fault location in aged power cables without any need to line parameters. Voltage transients generated after circuit breaker opening action are sampled and using wavelet and traveling wave theorem, first and second inceptions of voltage traveling wave signals are detected. Then wave speed is determined independent of cable parameters and finally precise location of fault is calculated. Because of using one terminal data, algorithm does not need to communication equipments and global positioning system (GPS). Accuracy of algorithm is not affected by aging, climate and temperature variations, which change the wave speed. In addition, fault resistance, fault inception angle and fault distance does not affect accuracy of algorithm. Extent simulations carried out with SimPowerSystem toolbox of MATLAB software, confirm capability and high accuracy of proposed algorithm to calculate fault location in the different faults and system conditions.