Fault Location in Transmission Systems Based On Frequency Domain Modeling and the Two-Dimensional Numerical Laplace Transform

Date of Award


Degree Name

Doctor of Philosophy


Electrical and Computer Engineering

First Advisor

Dr. Pablo Gomez

Second Advisor

Dr. Damon Miller

Third Advisor

Dr. Richard Meyer


Fault location, transmission systems, frequency domain modeling, two-dimensional numerical Laplace transform


Fault location is a crucial part of the protection scheme of electric power systems, as it helps the continuous and reliable delivery of power from generation plants to consumers. A novel approach for fault location, applicable to both overhead transmission lines and underground cables, is presented in this research work. The underlying principle behind the proposed approach is the generation of voltage and current profiles in the spatial-temporal frequency (q-s) domain. Such profiles are obtained from system terminal measurements combined with frequency-dependent transmission system modeling defined in the frequency domain.

Both an online approach based on multi-terminal measurements and an offline approach based on a single-ended measurements are used for accurate fault location under different fault conditions. Both approaches are founded upon the transformation of the voltage and current from the q-s domain to the space-time (z-t) domain using the 2-dimensional inverse numerical Laplace transform (NLT).

The profiles obtained in the z-t domain produce visually rich plots that clearly illustrate the condition of the transmission line. This is a direct reflection of the comprehensive data available from these profiles, which allows feature extraction that is translated into very accurate fault location, as well as the identification of fault properties such as type, severity and impedance

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