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Autori principali: Taylor, Josh A., Domínguez-García, Alejandro D.
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2510.04379
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author Taylor, Josh A.
Domínguez-García, Alejandro D.
author_facet Taylor, Josh A.
Domínguez-García, Alejandro D.
contents Distance relays detect faults on transmission lines. They face uncertainty from the fault's location and resistance, as well as the current from the line's remote terminal. In this paper, we aggregate this uncertainty with the Minkowski sum. This allows us to explicitly model the power grid surrounding the relay's line, and in turn accommodate any mix of synchronous machines and inverter-based resources. To make the relay's task easier, inverters can inject perturbations, or auxiliary signals, such as negative-sequence current. We use Farkas' lemma to construct an optimization for designing inverter auxiliary signals.
format Preprint
id arxiv_https___arxiv_org_abs_2510_04379
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometry of Distance Protection
Taylor, Josh A.
Domínguez-García, Alejandro D.
Optimization and Control
Information Theory
Systems and Control
Distance relays detect faults on transmission lines. They face uncertainty from the fault's location and resistance, as well as the current from the line's remote terminal. In this paper, we aggregate this uncertainty with the Minkowski sum. This allows us to explicitly model the power grid surrounding the relay's line, and in turn accommodate any mix of synchronous machines and inverter-based resources. To make the relay's task easier, inverters can inject perturbations, or auxiliary signals, such as negative-sequence current. We use Farkas' lemma to construct an optimization for designing inverter auxiliary signals.
title Geometry of Distance Protection
topic Optimization and Control
Information Theory
Systems and Control
url https://arxiv.org/abs/2510.04379