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Handling Non-Linearities in Modelling the Optimal Design and Operation of a Multi-Energy System

Author

Listed:
  • Antoine Mallégol

    (IMT Atlantique, Lab-STICC, UMR CNRS 6285, F-29238 Brest, France)

  • Arwa Khannoussi

    (IMT Atlantique, LS2N, UMR CRNS 6004, F-44307 Nantes, France)

  • Mehrdad Mohammadi

    (Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands)

  • Bruno Lacarrière

    (IMT Atlantique, GEPEA, UMR CRNS 6144, F-44307 Nantes, France)

  • Patrick Meyer

    (IMT Atlantique, Lab-STICC, UMR CNRS 6285, F-29238 Brest, France)

Abstract

Multi-energy systems (MESs) combining different energy carriers like electricity and heat allow for more efficient and sustainable energy solutions. However, optimizing the design and operation of MESs is challenging due to non-linearities in the mathematical models used, especially the performance curves of technologies like combined heat and power units. Unlike similar work from the literature, this paper proposes an improved piecewise linearization method to efficiently handle the non-linearities, models an MES as a multi-objective mixed-integer linear program (MILP), and solves the optimization problem over a year with hourly resolution to enable detailed operation and faithful system design. The method uses fewer linear pieces to approximate non-linear functions compared to a standard technique, resulting in lower complexity while preserving accuracy. The MES design and operation problem maximizes cost reduction and the rate of renewable energy sources. A case study on an MES with electricity and heat over one year with hourly resolution demonstrates the effectiveness of the new method. It allows for solving a long-term MES optimization problem in reasonable computation times.

Suggested Citation

  • Antoine Mallégol & Arwa Khannoussi & Mehrdad Mohammadi & Bruno Lacarrière & Patrick Meyer, 2023. "Handling Non-Linearities in Modelling the Optimal Design and Operation of a Multi-Energy System," Mathematics, MDPI, vol. 11(23), pages 1-28, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4855-:d:1292921
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    References listed on IDEAS

    as
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    3. Gabrielli, Paolo & Gazzani, Matteo & Martelli, Emanuele & Mazzotti, Marco, 2018. "Optimal design of multi-energy systems with seasonal storage," Applied Energy, Elsevier, vol. 219(C), pages 408-424.
    4. Poncelet, Kris & Delarue, Erik & Six, Daan & Duerinck, Jan & D’haeseleer, William, 2016. "Impact of the level of temporal and operational detail in energy-system planning models," Applied Energy, Elsevier, vol. 162(C), pages 631-643.
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