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A two-phase nonlinear optimization method for routing and sizing district heating systems

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  • Lambert, Jerry
  • Spliethoff, Hartmut

Abstract

This paper presents a method to find the optimal topology, pipe sizing, and operational parameters of a district heating system under consideration of one design point. The current high costs of district heating systems set limits regarding the minimum heat demand density required for economic network expansions. Optimized routing with ideal pipe sizing and optimal operating parameters offers a potential for cost reduction. Therefore, this paper introduces a new two-phase method for district heating network expansion planning. This method consists of consecutive optimizations, starting with a mixed-integer linear programming followed by a nonlinear optimization. During the mixed-integer linear programming, the district heating system is optimized with continuous diameters, and the nonlinear pressure and temperature dependencies must be linearized. The resulting topology and the continuous diameters are afterward handed over to a nonlinear sparse sequential quadratic programming. The continuous diameters are discretized using a numerical continuation strategy that gradually forces the continuous diameter variables into discrete diameter choices. As a proof of concept, the district heating system for a small town with 400 consumers is optimized and analyzed. The two-phase optimization is performed in 251.68sec, and in most cases, discrete or near discrete diameters are achieved in a nonlinear continuous optimization.

Suggested Citation

  • Lambert, Jerry & Spliethoff, Hartmut, 2024. "A two-phase nonlinear optimization method for routing and sizing district heating systems," Energy, Elsevier, vol. 302(C).
    • Handle: RePEc:eee:energy:v:302:y:2024:i:c:s0360544224016165
    DOI: 10.1016/j.energy.2024.131843
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    References listed on IDEAS

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    1. Wack, Yannick & Baelmans, Martine & Salenbien, Robbe & Blommaert, Maarten, 2023. "Economic topology optimization of District Heating Networks using a pipe penalization approach," Energy, Elsevier, vol. 264(C).
    2. Merlet, Yannis & Baviere, Roland & Vasset, Nicolas, 2022. "Formulation and assessment of multi-objective optimal sizing of district heating network," Energy, Elsevier, vol. 252(C).
    3. Marty, Fabien & Serra, Sylvain & Sochard, Sabine & Reneaume, Jean-Michel, 2018. "Simultaneous optimization of the district heating network topology and the Organic Rankine Cycle sizing of a geothermal plant," Energy, Elsevier, vol. 159(C), pages 1060-1074.
    4. Persson, U. & Möller, B. & Werner, S., 2014. "Heat Roadmap Europe: Identifying strategic heat synergy regions," Energy Policy, Elsevier, vol. 74(C), pages 663-681.
    5. Mertz, Théophile & Serra, Sylvain & Henon, Aurélien & Reneaume, Jean-Michel, 2016. "A MINLP optimization of the configuration and the design of a district heating network: Academic study cases," Energy, Elsevier, vol. 117(P2), pages 450-464.
    6. Thibaut Résimont & Quentin Louveaux & Pierre Dewallef, 2021. "Optimization Tool for the Strategic Outline and Sizing of District Heating Networks Using a Geographic Information System," Energies, MDPI, vol. 14(17), pages 1-24, September.
    7. Nussbaumer, T. & Thalmann, S., 2016. "Influence of system design on heat distribution costs in district heating," Energy, Elsevier, vol. 101(C), pages 496-505.
    8. Morvaj, Boran & Evins, Ralph & Carmeliet, Jan, 2016. "Optimising urban energy systems: Simultaneous system sizing, operation and district heating network layout," Energy, Elsevier, vol. 116(P1), pages 619-636.
    9. Bordin, Chiara & Gordini, Angelo & Vigo, Daniele, 2016. "An optimization approach for district heating strategic network design," European Journal of Operational Research, Elsevier, vol. 252(1), pages 296-307.
    10. Deng, Na & Cai, Rongchang & Gao, Yuan & Zhou, Zhihua & He, Guansong & Liu, Dongyi & Zhang, Awen, 2017. "A MINLP model of optimal scheduling for a district heating and cooling system: A case study of an energy station in Tianjin," Energy, Elsevier, vol. 141(C), pages 1750-1763.
    11. Vesterlund, Mattias & Toffolo, Andrea & Dahl, Jan, 2017. "Optimization of multi-source complex district heating network, a case study," Energy, Elsevier, vol. 126(C), pages 53-63.
    12. Blommaert, Maarten & Wack, Y. & Baelmans, M., 2020. "An adjoint optimization approach for the topological design of large-scale district heating networks based on nonlinear models," Applied Energy, Elsevier, vol. 280(C).
    13. Werner, Sven, 2017. "International review of district heating and cooling," Energy, Elsevier, vol. 137(C), pages 617-631.
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