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Convexification for natural gas transmission networks optimization

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  • Liang, Yingzong
  • Hui, Chi Wai

Abstract

Natural gas transmission is energy consuming due to significant pressure loss during the transportation process. Despite considerable effort to reduce its energy consumption in optimization study, the nonconvex behavior of mathematical models, mainly resulted from nonconvex pressure drop constraints, have made the problem challenging to tackle. To address this issue, this paper presents two convex formulation techniques to convexify the pressure drop constraints. The techniques use logical constraints to handle unknown gas flow direction to avoid absolute values and bilinear terms in the constraints. Modeling techniques are also presented to reformulate nonconvex compressor constraints into convex/concave ones. The proposed techniques are applied to two different scale natural gas transmission networks. Computational results suggest that the convexification relieves the models from local optima, and greatly improves solution quality and solution efficiency.

Suggested Citation

  • Liang, Yingzong & Hui, Chi Wai, 2018. "Convexification for natural gas transmission networks optimization," Energy, Elsevier, vol. 158(C), pages 1001-1016.
  • Handle: RePEc:eee:energy:v:158:y:2018:i:c:p:1001-1016
    DOI: 10.1016/j.energy.2018.06.107
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    References listed on IDEAS

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    1. Shiono, Naoshi & Suzuki, Hisatoshi, 2016. "Optimal pipe-sizing problem of tree-shaped gas distribution networks," European Journal of Operational Research, Elsevier, vol. 252(2), pages 550-560.
    2. De Wolf, D. & Smeers, Y., 1996. "Optimal dimensioning of pipe networks with application to gas transmission networks," LIDAM Reprints CORE 1249, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Daniel de Wolf & Yves Smeers, 1996. "Optimal Dimensioning of Pipe Networks with Application to Gas Transmission Networks," Operations Research, INFORMS, vol. 44(4), pages 596-608, August.
    4. Gilbert, Alexander Q. & Sovacool, Benjamin K., 2017. "Benchmarking natural gas and coal-fired electricity generation in the United States," Energy, Elsevier, vol. 134(C), pages 622-628.
    5. Tesch, Stefanie & Morosuk, Tatiana & Tsatsaronis, George, 2016. "Advanced exergy analysis applied to the process of regasification of LNG (liquefied natural gas) integrated into an air separation process," Energy, Elsevier, vol. 117(P2), pages 550-561.
    6. Roger Ríos-Mercado & Suming Wu & L. Scott & E. Boyd, 2002. "A Reduction Technique for Natural Gas Transmission Network Optimization Problems," Annals of Operations Research, Springer, vol. 117(1), pages 217-234, November.
    7. De Corte, Annelies & Sörensen, Kenneth, 2013. "Optimisation of gravity-fed water distribution network design: A critical review," European Journal of Operational Research, Elsevier, vol. 228(1), pages 1-10.
    8. Luis Contesse & Juan Ferrer & Sergio Maturana, 2005. "A Mixed-Integer Programming Model for Gas Purchase and Transportation," Annals of Operations Research, Springer, vol. 139(1), pages 39-63, October.
    9. DE WOLF, Daniel & SMEERS, Yves, 2000. "The gas transmission problem solved by an extension of the simplex algorithm," LIDAM Reprints CORE 1489, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. B. Rothfarb & H. Frank & D. M. Rosenbaum & K. Steiglitz & D. J. Kleitman, 1970. "Optimal Design of Offshore Natural-Gas Pipeline Systems," Operations Research, INFORMS, vol. 18(6), pages 992-1020, December.
    11. Daniel De Wolf & Yves Smeers, 2000. "The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm," Management Science, INFORMS, vol. 46(11), pages 1454-1465, November.
    12. Chong, Zheng Rong & Yang, She Hern Bryan & Babu, Ponnivalavan & Linga, Praveen & Li, Xiao-Sen, 2016. "Review of natural gas hydrates as an energy resource: Prospects and challenges," Applied Energy, Elsevier, vol. 162(C), pages 1633-1652.
    13. Frédéric Babonneau & Yurii Nesterov & Jean-Philippe Vial, 2012. "Design and Operations of Gas Transmission Networks," Operations Research, INFORMS, vol. 60(1), pages 34-47, February.
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    3. Wang, Guotao & Zhao, Wei & Qiu, Rui & Liao, Qi & Lin, Zhenjia & Wang, Chang & Zhang, Haoran, 2023. "Operational optimization of large-scale thermal constrained natural gas pipeline networks: A novel iterative decomposition approach," Energy, Elsevier, vol. 282(C).
    4. Chen, Ying & Koch, Thorsten & Zakiyeva, Nazgul & Zhu, Bangzhu, 2020. "Modeling and forecasting the dynamics of the natural gas transmission network in Germany with the demand and supply balance constraint," Applied Energy, Elsevier, vol. 278(C).
    5. Wang, Bohong & Klemeš, Jiří Jaromír & Liang, Yongtu & Yuan, Meng & Zhang, Haoran & Liu, Jiayi, 2020. "Implementing hydrogen injection in coal-dominated regions: Supply chain optimisation and reliability analysis," Energy, Elsevier, vol. 201(C).

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