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Article

Modeling and Evaluation of Reversible Traction Substations in DC Railway Systems: A Real-Time Simulation Platform Toward a Digital Twin

Department of Energy, Politecnico di Milano, 20156 Milan, Italy
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Authors to whom correspondence should be addressed.
Appl. Sci. 2026, 16(1), 80; https://doi.org/10.3390/app16010080 (registering DOI)
Submission received: 28 October 2025 / Revised: 8 December 2025 / Accepted: 15 December 2025 / Published: 21 December 2025
(This article belongs to the Section Electrical, Electronics and Communications Engineering)

Abstract

Traditional diode-based rectifiers (TDRs) in railway traction substations (TSSs) are inefficient at handling bidirectional power flow and cannot recover regenerative braking energy (RBE). Replacing these conventional systems with reversible traction substations (RTSSs) requires detailed modeling, extensive simulations, and validation using real data. This paper presents a DT-oriented real-time modeling and Hardware-in-the-Loop (HIL) platform for the analysis and performance assessment of RTSSs in DC railway systems. The integration of interleaved PWM rectifiers enables bidirectional power flow, allowing efficient RBE recovery and its return to the main grid. Modeling railway networks with moving trains is complex due to nonlinear dynamics arising from continuously varying positions, speeds, and accelerations. The proposed approach introduces an innovative multi-train simulation method combined with low-level transient and power-quality analysis. The validated DT model, supported by HIL emulation using OPAL-RT, accurately reproduces real-world system behavior, enabling optimal component sizing and evaluation of key performance indicators such as voltage ripple, total harmonic distortion, passive-component stress, and current imbalance. The results demonstrate improved energy efficiency, enhanced system design, and reduced operational costs. Meanwhile, experimental validation on a small-scale RTSS prototype, based on data from the Italian 3 kV DC railway system, confirms the accuracy and applicability of the proposed DT-oriented framework.
Keywords: railway systems; digital twin-oriented model; regenerative braking energy; harmonic; power quality; real-time railway systems; digital twin-oriented model; regenerative braking energy; harmonic; power quality; real-time

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MDPI and ACS Style

Zaninelli, D.; Kaleybar, H.J.; Brenna, M. Modeling and Evaluation of Reversible Traction Substations in DC Railway Systems: A Real-Time Simulation Platform Toward a Digital Twin. Appl. Sci. 2026, 16, 80. https://doi.org/10.3390/app16010080

AMA Style

Zaninelli D, Kaleybar HJ, Brenna M. Modeling and Evaluation of Reversible Traction Substations in DC Railway Systems: A Real-Time Simulation Platform Toward a Digital Twin. Applied Sciences. 2026; 16(1):80. https://doi.org/10.3390/app16010080

Chicago/Turabian Style

Zaninelli, Dario, Hamed Jafari Kaleybar, and Morris Brenna. 2026. "Modeling and Evaluation of Reversible Traction Substations in DC Railway Systems: A Real-Time Simulation Platform Toward a Digital Twin" Applied Sciences 16, no. 1: 80. https://doi.org/10.3390/app16010080

APA Style

Zaninelli, D., Kaleybar, H. J., & Brenna, M. (2026). Modeling and Evaluation of Reversible Traction Substations in DC Railway Systems: A Real-Time Simulation Platform Toward a Digital Twin. Applied Sciences, 16(1), 80. https://doi.org/10.3390/app16010080

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