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A cycle-based formulation for the simulation of multi time-scale systems — Application to the modeling of the storage system of a fully electric ferry

Author

Listed:
  • Hmam, S.
  • Olivier, J.-C.
  • Bourguet, S.
  • Loron, L.
  • Bernard, N.
  • Schaeffer, E.

Abstract

This paper addresses the simulation of complex systems which consider phenomena with different time scales. Such problems are encountered on studies of electrical systems which try to take into account the simulation of the power converter and its control laws, over representative operating cycles of several hours. Moreover, when storage elements are integrated into a power chain, their aging may need the designer to consider larger time scales, which can then exceed a few years. It is the reason why most studies separate the time scales between the slow dynamics for the energetic, thermal and aging phenomena, and the fast ones to study the power converter and its control laws. This paper presents an original cycle-based and multi-rate method for the simulation of power systems with a wide range of time scales and with high mutual dependency between the fast and slow state variables. This method is applied to the supercapacitor energy storage system of a full-electric ferry. The proposed simulation results take into account at the same time the switching of the power converter and the aging of the supercapacitor, with a reduction of the computational effort greater than 105. In other words, while a full calculation of the problem takes 10 centuries on a personal computer, the proposed method permits to have the same result in only 15 days.

Suggested Citation

  • Hmam, S. & Olivier, J.-C. & Bourguet, S. & Loron, L. & Bernard, N. & Schaeffer, E., 2019. "A cycle-based formulation for the simulation of multi time-scale systems — Application to the modeling of the storage system of a fully electric ferry," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 158(C), pages 403-417.
    • Handle: RePEc:eee:matcom:v:158:y:2019:i:c:p:403-417
    DOI: 10.1016/j.matcom.2018.09.026
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    References listed on IDEAS

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    1. Trieste, S. & Hmam, S. & Olivier, J.-C. & Bourguet, S. & Loron, L., 2015. "Techno-economic optimization of a supercapacitor-based energy storage unit chain: Application on the first quick charge plug-in ferry," Applied Energy, Elsevier, vol. 153(C), pages 3-14.
    2. Herr, Nathalie & Nicod, Jean-Marc & Varnier, Christophe & Jardin, Louise & Sorrentino, Antonella & Hissel, Daniel & Péra, Marie-Cécile, 2017. "Decision process to manage useful life of multi-stacks fuel cell systems under service constraint," Renewable Energy, Elsevier, vol. 105(C), pages 590-600.
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