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Waveform Distortion in Electric Railways and Propagation to Local Power Grids
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Energy Science.ORCID iD: 0000-0002-2934-0266
2026 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Low-frequency electric railway power systems, such as the Swedish 16⅔ Hz system, present a distinct waveform-distortion environment. Unlike the public grid, where most of the power is generated directly at system frequency, this type of railway power system is supplied through frequency converters. The main loads of the railway system, locomotives, are also driven by onboard power-electronic converters. As a result, both the supply side and the traction side contribute to waveform distortion. In addition, the railway is geographically extensive and coupled to the public grid through several unintended paths that allow distortion originating in the railway system to propagate outside of it. A particular feature of this interaction is that harmonic components in the railway system appear as interharmonics in the 50 Hz public grid, where they may affect protection systems and converter-based equipment.

Waveform distortion is relevant not only to the surrounding grid but also to the railway system itself. Of particular interest are elevated crest voltages, which can increase electrical stress on insulation and power-electronic components, thereby contributing to long-term equipment degradation. Existing operating limits are formulated mainly in terms of the RMS voltage of the 16⅔ Hz component and do not account for the influence of harmonics, supraharmonics, and transients on the crest voltage.

This thesis investigates waveform distortion in the Swedish electric railway power system from three perspectives: quantification of the contributions of different distortion components to crest voltage; analysis of how railway configuration and earthing affect stray-current propagation through PEN conductors bonded to the railway earthing system; and characterisation of distortion propagation from the railway to the public grid, including both established methods and proposing a method for source identification based on discrete cycle length. The work aims to improve the understanding of distortion mechanisms in low-frequency railways and to support assessment, mitigation and maintenance planning for both railway and public-grid installations.

Modelling in the frequency domain and field measurements show that the BT system used in Swedish railways has a worsening ability to contain stray currents as harmonic frequencies increase. Railway-related stray currents of several amperes were measured in public grid PEN conductors coupled to the railway earthing system. For crest voltage assessment, RMS-based distortion indices such as THD and TSHV were poor predictors of the contribution of waveform distortion to elevated crest voltages, whereas the proposed phasor-based THVP and TSHVP indices retained the phase relationships needed to quantify the harmonic and supraharmonic contributions. Finally, laboratory experiments demonstrated that variations in discrete harmonic cycle time contain source-specific information that can be used for single-point source identification, though the robustness of this method outside of the laboratory setting remains to be demonstrated.

Place, publisher, year, edition, pages
Luleå University of Technology, 2026.
Series
Doctoral thesis / Luleå University of Technology, ISSN 1402-1544
Keywords [en]
Booster transformer, Crest voltage, Electric railway power system, Harmonic source identification, Harmonics, Interharmonics, Power quality, Stray currents, Supraharmonics, Waveform distortion
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-119182ISBN: 978-91-8142-104-0 (print)ISBN: 978-91-8142-105-7 (electronic)OAI: oai:DiVA.org:ltu-119182DiVA, id: diva2:2089797
Public defence
2026-09-14, Hörsal A, Luleå University of Technology, Skellefteå, 09:00 (English)
Opponent
Supervisors
Funder
Swedish Transport Administration, 24579Available from: 2026-08-05 Created: 2026-08-05 Last updated: 2026-08-24Bibliographically approved
List of papers
1. Stray Currents Beyond the Fundamental in the Swedish BT Railway Power System
Open this publication in new window or tab >>Stray Currents Beyond the Fundamental in the Swedish BT Railway Power System
2026 (English)In: Energies, E-ISSN 1996-1073, Vol. 19, no 7, article id 1670Article in journal (Refereed) Published
Abstract [en]

Sweden has a very high and variable soil resistivity, making it difficult to ensure a consistently good connection to earth along the track. Booster Transformers (BTs) have been used to ensure that the current returns through the intended path and that stray currents are limited. The ability of BTs to control return currents is limited by their series impedance and by imperfect coupling. In this article, we make a detailed model of the BT system between two feed-in points and evaluate how well the BT system can contain stray currents at harmonic frequencies. The main contribution is that we demonstrate that harmonic currents are significantly less well contained by the BT system, and that the practice of allowing local grid connections to the railway earth system risks creating significant stray currents in the local grid, particularly at harmonic frequencies, but also that electrical safety may be compromised by the transmission of touch voltages to locations with a different soil resistivity than the rail bed.

Place, publisher, year, edition, pages
MDPI, 2026
Keywords
booster transformer, harmonics, stray currents, vagabond currents, touch voltage, earth electrode, S-rail, railway power system, earth resistance
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-117055 (URN)10.3390/en19071670 (DOI)001738607100001 ()2-s2.0-105036211783 (Scopus ID)
Funder
Swedish Transport Administration
Note

Full text: CC BY license;

Available from: 2026-04-10 Created: 2026-04-10 Last updated: 2026-08-05Bibliographically approved
2. Measuring and Analysis of Stray Currents in Auxiliary Railway Systems
Open this publication in new window or tab >>Measuring and Analysis of Stray Currents in Auxiliary Railway Systems
(English)Manuscript (preprint) (Other academic)
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-119175 (URN)
Funder
Swedish Transport Administration, 24579
Available from: 2026-08-05 Created: 2026-08-05 Last updated: 2026-08-12Bibliographically approved
3. Improved analysis for crest voltages in electric railways
Open this publication in new window or tab >>Improved analysis for crest voltages in electric railways
(English)Manuscript (preprint) (Other academic)
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-119176 (URN)
Funder
Swedish Transport Administration, 24579
Available from: 2026-08-05 Created: 2026-08-05 Last updated: 2026-08-12Bibliographically approved
4. Identifying Harmonic Sources by Profiling Discrete Harmonic Cycle Time
Open this publication in new window or tab >>Identifying Harmonic Sources by Profiling Discrete Harmonic Cycle Time
2025 (English)In: Energies, E-ISSN 1996-1073, Vol. 18, no 4, article id 853Article in journal (Refereed) Published
Abstract [en]

Harmonic emissions cause power quality issues in electrical systems, making source identification necessary to determine the best way of remedying them. Existing methods rely on measuring variations in harmonic amplitude, angle, and phase which require multiple measurement points or extensive system knowledge. We identified a methodological research gap because Discrete Harmonic Cycle Time (DHCT) has not been evaluated as a measuring principle for harmonic source identification. We propose a method using DHCT to enable single point measurements to profile harmonic sources. To determine the cycle length, we used a combination of sifting, a filter bank of cascaded high-pass and notch filters, and zero-crossing detection. For comparing the devices, we extracted motifs from the time series of discrete cycle lengths and applied principal component analysis. While it has previously been known in other contexts that harmonics can have varying cycle lengths, our laboratory results show that this is also true for the emissions of power electronic devices and that the differentiation can be used to identify the devices, thus bridging this knowledge gap. This method is independent of system impedance and topology. While further validation in more complex environments is needed, our results suggest that devices can be identified using this measurement principle. Since the measuring principle is orthogonal to other methods, it has potential as a complementary tool in harmonic source identification.

Place, publisher, year, edition, pages
Multidisciplinary Digital Publishing Institute (MDPI), 2025
Keywords
Discrete Harmonic Cycle Times, harmonic source identification, harmonics, profiling, DHCT
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-111910 (URN)10.3390/en18040853 (DOI)001431754300001 ()2-s2.0-85218458192 (Scopus ID)
Funder
Swedish Transport Administration
Note

Validerad;2025;Nivå 2;2025-03-13 (u8);

Full text license: CC BY

Available from: 2025-03-13 Created: 2025-03-13 Last updated: 2026-08-05Bibliographically approved
5. Waveform Distortion and Stray Currents in Irregular Earthing Interface at a Traction Converter Station LV Power Supply Connection
Open this publication in new window or tab >>Waveform Distortion and Stray Currents in Irregular Earthing Interface at a Traction Converter Station LV Power Supply Connection
(English)Manuscript (preprint) (Other academic)
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-119180 (URN)
Funder
Swedish Transport Administration, 24579
Available from: 2026-08-05 Created: 2026-08-05 Last updated: 2026-08-12Bibliographically approved
6. Assessment of Time-Varying Waveform Distortion Measured in a Railway Traction Converter Station
Open this publication in new window or tab >>Assessment of Time-Varying Waveform Distortion Measured in a Railway Traction Converter Station
2025 (English)In: IEEE Access, E-ISSN 2169-3536, Vol. 13, p. 130978-130987Article in journal (Refereed) Published
Abstract [en]

The waveform distortion interactions and time-varying behavior in electric railway power systems (ERPS) are explored in this paper by investigating measurements from a traction converter station. The paper proposes a methodology aimed at contributing to three aspects: screening detailed measurements with high resolution in time and frequency, comprehensively assessing waveform distortion parameters of the system, and developing a time-varying framework to assess waveform distortion interactions and sub-1-min variations in the railway grid. Specific focus is given to identifying disturbance sources and patterns during operation, including limitations of traditional methodologies based on aggregated values and addressing the challenges posed by the differences between the two electromagnetic environments (railway grid and public grid). The results propose new indices ( z-WDSV,z-WDSVw ) for evaluating waveform distortion in ERPS, highlighting the suitability of the methodology for assessing time-varying interactions and probabilistic aspects. The proposed framework can determine and quantify the frequency-domain components impacted by the operation of vehicles in the traction sections. Additionally, the limitation of longer measurement intervals is confirmed by the relationship between the aggregated value and variance due to the rapid variation caused by rolling stock operations. Other aspects of mechanisms involving waveform distortion on both sides of the traction converter station are discussed.

Place, publisher, year, edition, pages
IEEE, 2025
Keywords
Time-varying harmonics, power system harmonics, guideway transportation, waveform distortion, power quality
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electric Power Engineering
Identifiers
urn:nbn:se:ltu:diva-111935 (URN)10.1109/ACCESS.2025.3591979 (DOI)001540992900041 ()2-s2.0-105011655221 (Scopus ID)
Funder
Swedish Transport Administration, 24579
Note

Validerad;2025;Nivå 2;2025-08-04 (u8);

Full text license: CC BY;

This article has previously appeared as a manuscript in a thesis.

Available from: 2025-03-11 Created: 2025-03-11 Last updated: 2026-08-05Bibliographically approved

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