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Article

Integrated Control and Planning of Virtual Coupled Modular Pods for Energy-Efficient Railway Operation

by
Santiago Antunez
,
Miguel A. Vaquero-Serrano
and
Jesus Felez
*
Department of Mechanical Engineering, Universidad Politécnica de Madrid, 28016 Madrid, Spain
*
Author to whom correspondence should be addressed.
Electronics 2026, 15(17), 3841; https://doi.org/10.3390/electronics15173841
Submission received: 20 July 2026 / Revised: 20 August 2026 / Accepted: 24 August 2026 / Published: 26 August 2026

Abstract

Sustainable and demand-adaptive railway operation requires frameworks capable of aligning service capacity with time-varying demand while ensuring safe, operationally feasible, and energy-efficient service. This paper proposes an integrated control-and-planning framework for modular pod-based railway operation based on virtual coupling. The framework combines a convoy control layer, which ensures safe and dynamically feasible virtually coupled operation, with a planning layer formulated as a mixed-integer linear programming (MILP) model for daily service allocation and convoy sizing. This hierarchical framework combines dynamically feasible convoy-control simulations with service-level planning to adapt capacity to passenger demand. The proposed methodology is evaluated through comparative simulations under peak-hour, shoulder-period, and off-peak demand scenarios, as well as over a daily schedule of 20 services. Its performance is compared with a conventional fixed-composition diesel–electric multiple unit (DEMU)-based operation. Results show that the pod-based configuration increases energy consumption under peak-hour conditions, remains comparable during shoulder periods, and substantially reduces energy consumption in off-peak operation, achieving a 57% saving in that regime. At the daily level, total energy consumption decreases from 3864 kWh to 3075 kWh, corresponding to a 20% reduction. These findings indicate that the main value of the proposed framework lies in transforming convoy composition into a demand-adaptive operational variable, thereby improving energy performance at the daily system level while preserving the safe and dynamically feasible operation of virtually coupled pod formations.
Keywords: virtual coupling; railway automation; modular railway systems; energy-efficient railway operation; demand-adaptive operation; hierarchical control; cooperative vehicle control; model predictive control; mixed-integer linear programming virtual coupling; railway automation; modular railway systems; energy-efficient railway operation; demand-adaptive operation; hierarchical control; cooperative vehicle control; model predictive control; mixed-integer linear programming

Share and Cite

MDPI and ACS Style

Antunez, S.; Vaquero-Serrano, M.A.; Felez, J. Integrated Control and Planning of Virtual Coupled Modular Pods for Energy-Efficient Railway Operation. Electronics 2026, 15, 3841. https://doi.org/10.3390/electronics15173841

AMA Style

Antunez S, Vaquero-Serrano MA, Felez J. Integrated Control and Planning of Virtual Coupled Modular Pods for Energy-Efficient Railway Operation. Electronics. 2026; 15(17):3841. https://doi.org/10.3390/electronics15173841

Chicago/Turabian Style

Antunez, Santiago, Miguel A. Vaquero-Serrano, and Jesus Felez. 2026. "Integrated Control and Planning of Virtual Coupled Modular Pods for Energy-Efficient Railway Operation" Electronics 15, no. 17: 3841. https://doi.org/10.3390/electronics15173841

APA Style

Antunez, S., Vaquero-Serrano, M. A., & Felez, J. (2026). Integrated Control and Planning of Virtual Coupled Modular Pods for Energy-Efficient Railway Operation. Electronics, 15(17), 3841. https://doi.org/10.3390/electronics15173841

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