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Moving standard deviation assisted two-terminal traveling wave based fault location estimation technique for transmission system incorporated with UPFC
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  • Published: 06 March 2026

Moving standard deviation assisted two-terminal traveling wave based fault location estimation technique for transmission system incorporated with UPFC

  • Saswati Mishra1,
  • Rupak Kumar2,
  • Shweta Kumari3,
  • Anita Khanna4,
  • Tapan Prakash5 &
  • …
  • Niraj Kumar Dewangan6 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Energy science and technology
  • Engineering

Abstract

Modern power systems are increasingly complex and vulnerable to disturbances, with transmission line faults being the most frequent and disruptive. Accurate fault location estimation (FLE) is essential to ensure fast system restoration and reliable operation, particularly when flexible AC transmission system (FACTS) devices such as the Unified Power Flow Controller (UPFC) are present. This paper proposes a Moving Standard Deviation (MSD) assisted two-terminal traveling wave (TW) based FLE technique for UPFC-compensated transmission lines. In the proposed approach, terminal voltage signals are transformed into aerial mode signals using Clarke’s transformation, and MSD is applied to identify peak values (PMSDs). These peaks provide estimated times of arrival waves (ETAWs), which are used to compute the fault location. The method is validated on a 500 kV three-machine system with a 100 MVA UPFC under diverse scenarios, including varying fault distances, types, resistances, inception angles, close-in and far-bus faults, UPFC operating modes, sampling frequencies, and noisy environments. Results confirm that the proposed method consistently achieves high accuracy, with percentage errors maintained below 1% even at low sampling rates (60 Hz) and under severe noise (5 dB SNR). The technique is computationally simple, robust against UPFC influences, and offers practical applicability for modern power systems.

Data availability

All data generated or analysed during this study are included in this published article.

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Funding

Open access funding provided by Manipal Academy of Higher Education, Manipal.

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, National Institute of Technology Raipur, GE Road, 492010, Raipur, Chhattisgarh, India

    Saswati Mishra

  2. Department of Electrical Engineering, National Institute of Technology, Jamshedpur, India

    Rupak Kumar

  3. Department of Artificial Intelligence, School of Engineering, Anurag University, Hyderabad, India

    Shweta Kumari

  4. Department of Electronics and Communication Engineering, Guru Ghasidas Vishwavidyalaya, Koni, 495009, Bilaspur, Chhattisgarh, India

    Anita Khanna

  5. School of Electrical Engineering, Vellore Institute of Technology Vellore, Katpadi, 632014, Vellore, Tamil Nadu, India

    Tapan Prakash

  6. Manipal Institute of Technology Manipal, Manipal Academy of Higher Education, Manipal, India

    Niraj Kumar Dewangan

Authors
  1. Saswati Mishra
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  2. Rupak Kumar
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  3. Shweta Kumari
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  4. Anita Khanna
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  5. Tapan Prakash
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  6. Niraj Kumar Dewangan
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Contributions

S.M., R.K., S.K., A.K., T.P., and N.D. conceived and planned the experiments. S.M., R.K., S.K., and A.K. planned and carried out the simulations. S.M., R.K., S.K., A.K., T.P., and N.D. contributed to the interpretation of the results. S.M. took the lead in writing the manuscript. All authors provided critical feedback and helped shape the research, analysis and manuscript.

Corresponding author

Correspondence to Niraj Kumar Dewangan.

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Competing interests

The authors declare no competing interests.

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Cite this article

Mishra, S., Kumar, R., Kumari, S. et al. Moving standard deviation assisted two-terminal traveling wave based fault location estimation technique for transmission system incorporated with UPFC. Sci Rep (2026). https://doi.org/10.1038/s41598-026-42393-3

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  • Received: 15 July 2025

  • Accepted: 25 February 2026

  • Published: 06 March 2026

  • DOI: https://doi.org/10.1038/s41598-026-42393-3

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Keywords

  • Moving standard deviation
  • UPFC
  • Fault location estimation
  • Traveling wave
  • Arrival time
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