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Modeling technique in the P-Graph framework for operating units with flexible input ratios

Author

Listed:
  • András Éles

    (University of Pannonia)

  • István Heckl

    (University of Pannonia)

  • Heriberto Cabezas

    (Pázmány Péter Catholic University)

Abstract

The P-Graph framework is an efficient tool that deals with the solution of Process Network Synthesis (PNS) problems. The model uses a bipartite graph of material and operating unit nodes, with arcs representing material flow. The framework includes combinatorial algorithms to identify solution structures, and an underlying linear model to be solved by the Accelerated Branch and Bound algorithmic method. An operating unit node in a P-Graph consumes its input materials and produces its products in a fixed ratio of operation volume. This makes it inadequate in modeling such real-world operations where input composition may vary, and may also be subject to specific constraints. Recent works address such cases by directly manipulating the generated mathematical model with linear programming constraints. In this work, a new general method is introduced which allows the modeling of operations with flexible input ratios and linear constraints in general, solely by tools provided by the P-Graph framework itself. This includes representing the operation with ordinary nodes and setting up their properties correctly. We also investigate how our method affects the solution structures for the PNS problem which is crucial for the performance of algorithms in the framework. The method is demonstrated in a case study where sustainable energy generation for a plant is present, and the different types of available biomass introduce a high level of flexibility, while consumption limitations may still apply.

Suggested Citation

  • András Éles & István Heckl & Heriberto Cabezas, 2021. "Modeling technique in the P-Graph framework for operating units with flexible input ratios," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 463-489, June.
  • Handle: RePEc:spr:cejnor:v:29:y:2021:i:2:d:10.1007_s10100-020-00683-9
    DOI: 10.1007/s10100-020-00683-9
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    References listed on IDEAS

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    1. Tan, Raymond R. & Cayamanda, Christina D. & Aviso, Kathleen B., 2014. "P-graph approach to optimal operational adjustment in polygeneration plants under conditions of process inoperability," Applied Energy, Elsevier, vol. 135(C), pages 402-406.
    2. Lan, Jun & Malik, Arunima & Lenzen, Manfred & McBain, Darian & Kanemoto, Keiichiro, 2016. "A structural decomposition analysis of global energy footprints," Applied Energy, Elsevier, vol. 163(C), pages 436-451.
    3. András Éles & László Halász & István Heckl & Heriberto Cabezas, 2019. "Evaluation of the Energy Supply Options of a Manufacturing Plant by the Application of the P-Graph Framework," Energies, MDPI, vol. 12(8), pages 1-24, April.
    4. Süle, Zoltán & Baumgartner, János & Dörgő, Gyula & Abonyi, János, 2019. "P-graph-based multi-objective risk analysis and redundancy allocation in safety-critical energy systems," Energy, Elsevier, vol. 179(C), pages 989-1003.
    5. Aviso, Kathleen B. & Tan, Raymond R., 2018. "Fuzzy P-graph for optimal synthesis of cogeneration and trigeneration systems," Energy, Elsevier, vol. 154(C), pages 258-268.
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    Cited by:

    1. Xu, Yifan & Ji, Mengmeng & Klemeš, Jiří Jaromír & Tao, Hengcong & Zhu, Baikang & Varbanov, Petar Sabev & Yuan, Meng & Wang, Bohong, 2023. "Optimal renewable energy export strategies of islands: Hydrogen or electricity?," Energy, Elsevier, vol. 269(C).
    2. András Éles & István Heckl & Heriberto Cabezas, 2024. "Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework," Energies, MDPI, vol. 17(3), pages 1-20, January.

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