This project addresses the critical challenge of rapid and accurate fault location in electrical transmission systems, a key factor in reducing service interruption times and improving reliability. Common faults, such as short circuits, are difficult to locate due to infrastructure limitations, such as the lack of dedicated locators on every circuit. The proposed approach focuses on applying compressed sensing techniques to mitigate the high computational and data traffic costs associated with massive sensor deployment, enabling better state estimation with limited data. The methodology includes an exhaustive review of existing methods (impedance matrix, differential equations, traveling waves, AI), followed by detailed modeling and simulation of a transmission circuit using specialized software. Simulated electrical data will be collected to create a robust database, upon which developed algorithms will be tested and compared in MATLAB®. Finally, the sensitivity of these methods to variations in distributed generation and fault resistance will be analyzed, evaluating their accuracy and the minimum number of variables required for effective localization.<br/><br/><b>Goal</b>: <br/>The main objective is to locate faults in electrical transmission lines by employing advanced compressed sensing techniques and accurate signal arrival time detection.<br/><br/><b>Research lines</b>: <br/>Failures in electrical systems