Determination of Dynamic Accuracy for the RLC Interface of AC Traction Network–Pantograph.

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Title: Determination of Dynamic Accuracy for the RLC Interface of AC Traction Network–Pantograph.
Authors: Tomczyk, Krzysztof1 (AUTHOR) krzysztof.tomczyk@pk.edu.pl, Naczyński, Tymoteusz2 (AUTHOR), Sułowicz, Maciej1 (AUTHOR)
Source: Energies (19961073). Jan2026, Vol. 19 Issue 2, p314. 23p.
Subjects: Pantograph, Lumped parameter systems, Feedback control systems, Perturbation theory
Abstract: The article presents a comprehensive determination and analysis of the dynamic accuracy of the AC traction network–pantograph interface using an equivalent lumped-parameter RLC model derived from a distributed-parameter representation of the traction line. The study investigates the system's response to representative excitation signals: step, sinusoidal, and multi-harmonic, where the root mean square value of the voltage error at the network–pantograph interface is adopted as the main performance indicator. A novel contribution of this work lies in determining the upper bound on the dynamic error (UBDE) for input signals constrained by realistic physical limitations: initially by magnitude and duration, and subsequently extended with an additional rate of change constraint. In the first case, an iterative optimization procedure is applied to determine the constrained excitation and its corresponding error, while in the extended case, the problem of maximizing the dynamic error energy is solved numerically using a genetic algorithm. In both formulations, the objective is to identify extreme, physically admissible excitation waveforms that represent the most unfavorable dynamic scenarios for voltage reproduction within the traction network–pantograph RLC interface. The results obtained in this study are of both theoretical and practical significance. They allow the identification of frequency ranges and resonance conditions that intensify dynamic errors, support the design of compensation and filtering strategies, and enable the assessment of the system robustness to fast disturbances and supply voltage distortions. From a theoretical point of view, the article introduces a unified methodology for the determination and evaluation of dynamic errors and their worst-case upper estimates under realistic signal constraints, providing a foundation for future research on control design, optimization, and voltage quality requirements in AC traction power systems. [ABSTRACT FROM AUTHOR]
Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Determination of Dynamic Accuracy for the RLC Interface of AC Traction Network–Pantograph.
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  Data: <searchLink fieldCode="AR" term="%22Tomczyk%2C+Krzysztof%22">Tomczyk, Krzysztof</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> krzysztof.tomczyk@pk.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Naczyński%2C+Tymoteusz%22">Naczyński, Tymoteusz</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sułowicz%2C+Maciej%22">Sułowicz, Maciej</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Energies+%2819961073%29%22">Energies (19961073)</searchLink>. Jan2026, Vol. 19 Issue 2, p314. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Pantograph%22">Pantograph</searchLink><br /><searchLink fieldCode="DE" term="%22Lumped+parameter+systems%22">Lumped parameter systems</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The article presents a comprehensive determination and analysis of the dynamic accuracy of the AC traction network–pantograph interface using an equivalent lumped-parameter RLC model derived from a distributed-parameter representation of the traction line. The study investigates the system's response to representative excitation signals: step, sinusoidal, and multi-harmonic, where the root mean square value of the voltage error at the network–pantograph interface is adopted as the main performance indicator. A novel contribution of this work lies in determining the upper bound on the dynamic error (UBDE) for input signals constrained by realistic physical limitations: initially by magnitude and duration, and subsequently extended with an additional rate of change constraint. In the first case, an iterative optimization procedure is applied to determine the constrained excitation and its corresponding error, while in the extended case, the problem of maximizing the dynamic error energy is solved numerically using a genetic algorithm. In both formulations, the objective is to identify extreme, physically admissible excitation waveforms that represent the most unfavorable dynamic scenarios for voltage reproduction within the traction network–pantograph RLC interface. The results obtained in this study are of both theoretical and practical significance. They allow the identification of frequency ranges and resonance conditions that intensify dynamic errors, support the design of compensation and filtering strategies, and enable the assessment of the system robustness to fast disturbances and supply voltage distortions. From a theoretical point of view, the article introduces a unified methodology for the determination and evaluation of dynamic errors and their worst-case upper estimates under realistic signal constraints, providing a foundation for future research on control design, optimization, and voltage quality requirements in AC traction power systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Energies (19961073) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3390/en19020314
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        Text: English
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        PageCount: 23
        StartPage: 314
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      – SubjectFull: Pantograph
        Type: general
      – SubjectFull: Lumped parameter systems
        Type: general
      – SubjectFull: Feedback control systems
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      – SubjectFull: Perturbation theory
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      – TitleFull: Determination of Dynamic Accuracy for the RLC Interface of AC Traction Network–Pantograph.
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            – D: 15
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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