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Fault-location on high-voltage overhead power lines with a grounded ground wire by solving quadratic equation

https://doi.org/10.30724/1998-9903-2026-28-3-26-36

Abstract

OBJECT. High-voltage overhead power lines (HVOPL) are the most vulnerable objects in the path of electrical energy system. Damage to HVOPL is the most common cause of disruptions in normal operation. For relay protection and automation (RPA) devices, one of the important functions is fault location (FL). Accurate fault location enables the restoration of normal operation in the shortest possible time and with minimal costs. The greatest influence on the accuracy of FL methods is exerted by random factors characterized by damage parameters. Existing one-end impedance-based fault location methods based are implemented under the assumption of resistivity of the resistance at the fault site. It is not applicable for ground faults, which are the most common type of damage on overhead transmission lines.

METHODS.  The article proposes a fault location (FL) algorithm based on solving Kirchhoff's voltage law equation for the closed loop using quadratic equations.

RESULTS. The proposed FL algorithm was tested on the simulation models of overhead transmission lines of the Nizhny Novgorod region. In all conducted tests, the algorithm demonstrated an error of no more than 1%.

CONCLUSIONS. The proposed one-end impedance-based fault location algorithm ensures robustness against the reactive component of the fault resistance. The high accuracy of the proposed method is confirmed by test results on simulation models. The algorithm is versatile and can be applied to both power lines with a grounded ground wire and lines without a grounded ground wire, regardless of the type of fault.

About the Authors

Aleksandr L. Kulikov
R. E. Alekseev Nizhny Novgorod State Technical University
Russian Federation

Aleksandr L. Kulikov - professor of the chair "Electric power engineering, power supply and power electronics"

Nizhny Novgorod



Denis S. Fedosov
Irkutsk National Research Technical University
Russian Federation

Denis S. Fedosov - head of the department "Electrical Stations, Grids and Systems" 

Irkutsk



Pavel P. Cherneev
R. E. Alekseev Nizhny Novgorod State Technical University
Russian Federation

Pavel P. Cherneev - postgraduate student

Nizhny Novgorod



References

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For citations:


Kulikov A.L., Fedosov D.S., Cherneev P.P. Fault-location on high-voltage overhead power lines with a grounded ground wire by solving quadratic equation. Power engineering: research, equipment, technology. 2026;28(3):26-36. (In Russ.) https://doi.org/10.30724/1998-9903-2026-28-3-26-36

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ISSN 1998-9903 (Print)
ISSN 2658-5456 (Online)