Fault Localisation in Infinite-Dimensional Linear Electrical Networks
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908305001021440 |
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| author | Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik |
| author_facet | Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik |
| contents | We present a novel fault localisation methodology for linear time-invariant electrical networks with infinite-dimensional edge dynamics and uncertain fault dynamics. The theory accommodates instability and also bounded propagation delays in the network. The goal is to estimate the location of a fault along a given network edge, using sensors positioned arbitrarily throughout the network. Passive faults of unknown impedance are considered, along with stable faults of known impedance. To illustrate the approach, we tackle a significant use-case: a multi-conductor transmission line, with dynamics modelled by the Telegrapher's equation, subject to a line-to-ground fault. Frequency-domain insights are used to reformulate the general fault localisation problem into a non-convex scalar optimisation problem, of which the true fault location is guaranteed to be a global minimiser. Numerical experiments are run to quantify localisation performance over a range of fault resistances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fault Localisation in Infinite-Dimensional Linear Electrical Networks Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik Systems and Control Signal Processing Dynamical Systems We present a novel fault localisation methodology for linear time-invariant electrical networks with infinite-dimensional edge dynamics and uncertain fault dynamics. The theory accommodates instability and also bounded propagation delays in the network. The goal is to estimate the location of a fault along a given network edge, using sensors positioned arbitrarily throughout the network. Passive faults of unknown impedance are considered, along with stable faults of known impedance. To illustrate the approach, we tackle a significant use-case: a multi-conductor transmission line, with dynamics modelled by the Telegrapher's equation, subject to a line-to-ground fault. Frequency-domain insights are used to reformulate the general fault localisation problem into a non-convex scalar optimisation problem, of which the true fault location is guaranteed to be a global minimiser. Numerical experiments are run to quantify localisation performance over a range of fault resistances. |
| title | Fault Localisation in Infinite-Dimensional Linear Electrical Networks |
| topic | Systems and Control Signal Processing Dynamical Systems |
| url | https://arxiv.org/abs/2504.04910 |