Inverse Scattering for Soft Fault Diagnosis in Electric Transmission Lines
Résumé
Today's advanced reflectometry methods provide an efficient solution for the diagnosis of hard faults (open and short circuits) in electric transmission lines, but they are much less efficient for soft faults (spatially smooth variations of characteristic impedance). This paper completes an important missing piece for the application of the inverse scattering transform to the diagnosis of soft faults in electric transmission lines, by clarifying the relationship between the reflection coefficient measured with reflectometry instruments and the mathematical object of the same name used in the inverse scattering transform. The feasibility of this approach is then demonstrated by numerical simulation of lossless transmission lines affected by soft faults, and by the solution of the inverse scattering problem effectively retrieving smoothly varying characteristic impedance profiles from reflection coefficients.
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