Frequency Response of Transmission Lines with Unevenly Distributed Properties with Application to Railway Safety Monitoring
Xiangyu Ni, Bill Goodwine

TL;DR
This paper introduces a rapid method to analyze the frequency response of transmission lines with uneven properties, aiding railway safety monitoring by detecting damages and property changes efficiently.
Contribution
It presents a novel approach that models damaged transmission lines as self-similar circuit networks, enabling quick and accurate frequency response computations for safety applications.
Findings
Efficient computation of voltage and current in damaged lines.
Applicable to railway track circuit safety monitoring.
Improves damage detection accuracy and speed.
Abstract
This paper proposes a method to quickly and efficiently compute the voltage and current along a transmission line which can be "damaged"; that is its electrical properties can be unevenly distributed. The method approximates a transmission line by a self-similar circuit network and leverages our previous work regarding the frequency response for that class of networks. The main motivation arises from the research for railway track circuit systems where transmission line models are often employed. However, in contrast to real transmission lines, railway track circuits are more likely to be damaged due to its scale and environmental uncertainties; furthermore, changes in circuit properties due to a train occupying a segment of the track also is of great interest as a means to ensure safety. As a result, an accurate and quick simulation of damaged track circuits is necessary and can…
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