LAPSE:2025.0172v1
Published Article

LAPSE:2025.0172v1
Integrating Thermodynamic Simulation and Surrogate Modeling to Find Optimal Drive Cycle Strategies for Hydrogen-Powered Trucks
June 27, 2025
Abstract
Hydrogen-powered heavy-duty trucks have a high potential to significantly reduce CO2 emissions in the transportation sector. Therefore, efficient hydrogen storage onboard vehicles is a key enabler for sustainable transportation, as achieving high storage densities and extended driving ranges is essential for the competitiveness of hydrogen-powered trucks. Cryo-compressed hydrogen (CcH2), stored at cryogenic temperatures and high pressures, emerges as a promising solution. This study presents a comprehensive dynamic thermodynamic model that is capable of simulating the tank system across all operating conditions and, therefore, enables thermodynamic analysis of drive cycles. The core of the model is a differential-algebraic equation system that describes the thermodynamic state of the hydrogen in the tank. Additionally, surrogate models based on artificial neural networks are applied to efficiently describe quasi-steady-state heat exchangers integrated into the tank system. Several use cases are explored to demonstrate the model's ability to simulate the thermodynamic behavior and to find optimal operating strategies. The optimal hydrogen density, when to stop driving and refuel the tank to maximize overall driving ranges, is investigated both in ideal and real operation, taking into account the limited availability of refueling stations in early market applications. Further, driving range and venting losses are considered for longer periods of dormancy. These results provide insights into how operational strategies can be tailored to maximize driving range, minimize hydrogen losses, and improve overall system efficiency, ultimately supporting the adoption of hydrogen in long-haul transportation.
Hydrogen-powered heavy-duty trucks have a high potential to significantly reduce CO2 emissions in the transportation sector. Therefore, efficient hydrogen storage onboard vehicles is a key enabler for sustainable transportation, as achieving high storage densities and extended driving ranges is essential for the competitiveness of hydrogen-powered trucks. Cryo-compressed hydrogen (CcH2), stored at cryogenic temperatures and high pressures, emerges as a promising solution. This study presents a comprehensive dynamic thermodynamic model that is capable of simulating the tank system across all operating conditions and, therefore, enables thermodynamic analysis of drive cycles. The core of the model is a differential-algebraic equation system that describes the thermodynamic state of the hydrogen in the tank. Additionally, surrogate models based on artificial neural networks are applied to efficiently describe quasi-steady-state heat exchangers integrated into the tank system. Several use cases are explored to demonstrate the model's ability to simulate the thermodynamic behavior and to find optimal operating strategies. The optimal hydrogen density, when to stop driving and refuel the tank to maximize overall driving ranges, is investigated both in ideal and real operation, taking into account the limited availability of refueling stations in early market applications. Further, driving range and venting losses are considered for longer periods of dormancy. These results provide insights into how operational strategies can be tailored to maximize driving range, minimize hydrogen losses, and improve overall system efficiency, ultimately supporting the adoption of hydrogen in long-haul transportation.
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Suggested Citation
Stops L, Stary A, Hamacher J, Siebe D, Funke T, Rehfeldt S, Klein H. Integrating Thermodynamic Simulation and Surrogate Modeling to Find Optimal Drive Cycle Strategies for Hydrogen-Powered Trucks. Systems and Control Transactions 4:135-140 (2025) https://doi.org/10.69997/sct.176475
Author Affiliations
Stops L: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Stary A: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Hamacher J: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Siebe D: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Funke T: Cryomotive GmbH, Grasbrunn, Germany
Rehfeldt S: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Klein H: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Stary A: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Hamacher J: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Siebe D: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Funke T: Cryomotive GmbH, Grasbrunn, Germany
Rehfeldt S: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Klein H: Technical University of Munich, TUM School of Engineering and Design, Department of Energy and Process Engineering, Institute of Plant and Process Technology, Garching, Germany
Journal Name
Systems and Control Transactions
Volume
4
First Page
135
Last Page
140
Year
2025
Publication Date
2025-07-01
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Original Submission
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PII: 0135-0140-1311-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0172v1
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https://doi.org/10.69997/sct.176475
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Jun 27, 2025
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References Cited
- Stops L, Siebe D, Stary A, Hamacher J, Sidarava V. Rehfeldt S, Klein H. Generalized thermodynamic modeling of hydrogen storage tanks for truck application. Cryogenics 139. (2024) https://doi.org/10.1016/j.cryogenics.2024.103826
- Hamacher J, Stary A, Stops L, Siebe D, Kapp M, Rehfeldt S, Klein H. Modeling the thermodynamic behavior of cryo-compressed hydrogen tanks for trucks. Cryogenics 135. (2023) https://doi.org/10.1016/j.cryogenics.2023.103743
- Hamacher J, Stary A, Stops L, Siebe D, Rehfeldt S, Klein H. Novel thermodynamic model for cryo-compressed-hydrogen tanks. In: Proceedings of the 17th CRYOGENICS 2023 IIR International Conference. (2023) https://doi.org/10.1016/j.cryogenics.2023.103743
- Hamacher J, Al-Zoubi A, Stary A, Stops L, Siebe D, Rehfeldt S, Klein H. Wärmeübergangskoeffizienten bei der Anwärmung von kryogenem Wasserstoff. In: Jahrestreffen 2024 der DECHEMA Fachgruppen Wärme- und Stoffübertragung und Trocknungstechnik. (2024)
- Stary A, Al-Zoubi A, Hamacher J, Siebe D, Stops L, Rehfeldt S, Klein H. Freie Konvektion an einem horizontalen Zylinder in einem kryo-komprimierten Wasserstofftank. In: Jahrestreffen 2024 der DECHEMA Fachgruppen Wärme- und Stoff-übertragung und Trocknungstechnik. (2024)
- Stein M. Large sample properties of simulations using latin hypercube sampling. Technometrics 2:29. (1987) https://doi.org/10.2307/1269769
- Basma H, Rodríguez F. Fuel cell electric tractor-trailers: Technology overview and fuel economy. (2022) https://theicct.org/publication/fuel-cell-tractor-trailer-tech-fuel-jul22/ (accessed 25 Nov 2024)

