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Optimization of capacity expansion planning for gas transportation networks

Author

Listed:
  • Andre, Jean
  • Bonnans, Frédéric
  • Cornibert, Laurent

Abstract

This paper presents techniques for solving the problem of minimizing investment costs on an existing gas transportation network. The goal of this program is to find, first, the optimal location of pipeline segments to be reinforced and, second, the optimal sizes (among a discrete commercial list of diameters) under the constraint of satisfaction of demands with high enough pressure for all users. The paper develops new heuristics for solving this large-scale integer NLP problem, based on a two phases approach. The first one solves a continuous relaxation of the problem. A generalized potential formulation of the gas transportation networks including valves and compressor stations is introduced in order to find an initial point of the optimization solver. Phase two consists in choosing discrete values of diameters only among the set of pipes that have been reinforced in the continuous relaxation. A Branch & Bound scheme is then applied to a limited number of values in order to generate good solutions with reasonable computational effort on real-world applications.

Suggested Citation

  • Andre, Jean & Bonnans, Frédéric & Cornibert, Laurent, 2009. "Optimization of capacity expansion planning for gas transportation networks," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1019-1027, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:3:p:1019-1027
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    1. De Wolf, D. & Janssens De Bisthoven, O. & Smeers, Y., 1991. "The simplex algorithm extended to piecewise linearly constrained problems I: the method and an implementation," LIDAM Discussion Papers CORE 1991019, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Song, Shuang & Govindan, Kannan & Xu, Lei & Du, Peng & Qiao, Xiaojiao, 2017. "Capacity and production planning with carbon emission constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 132-150.
    2. Abbasi, Ali Reza & Seifi, Ali Reza, 2015. "Considering cost and reliability in electrical and thermal distribution networks reinforcement planning," Energy, Elsevier, vol. 84(C), pages 25-35.
    3. Bosman, M.G.C. & Bakker, V. & Molderink, A. & Hurink, J.L. & Smit, G.J.M., 2012. "Planning the production of a fleet of domestic combined heat and power generators," European Journal of Operational Research, Elsevier, vol. 216(1), pages 140-151.
    4. Jaap Pedersen & Thi Thai Le & Thorsten Koch & Janina Zittel, 2024. "Optimal discrete pipe sizing for tree-shaped CO2 networks," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1163-1187, December.
    5. repec:cty:dpaper:10.1080/0013791x.2011.573615 is not listed on IDEAS
    6. Olivier Massol, 2011. "A Cost Function for the Natural Gas Transmission Industry: Further Considerations," The Engineering Economist, Taylor & Francis Journals, vol. 56(2), pages 95-122.
    7. Ralf Lenz & Kai Helge Becker, 2022. "Optimization of capacity expansion in potential-driven networks including multiple looping: a comparison of modelling approaches," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 179-224, March.
    8. Franziska Holz, Philipp M. Richter, and Ruud Egging, 2016. "The Role of Natural Gas in a Low-Carbon Europe: Infrastructure and Supply Security," The Energy Journal, International Association for Energy Economics, vol. 0(Sustainab).
    9. Massol, Olivier & Tchung-Ming, Stéphane & Banal-Estañol, Albert, 2015. "Joining the CCS club! The economics of CO2 pipeline projects," European Journal of Operational Research, Elsevier, vol. 247(1), pages 259-275.
    10. Conrado Borraz-Sánchez & Russell Bent & Scott Backhaus & Hassan Hijazi & Pascal Van Hentenryck, 2016. "Convex Relaxations for Gas Expansion Planning," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 645-656, November.
    11. Martin Robinius & Lars Schewe & Martin Schmidt & Detlef Stolten & Johannes Thürauf & Lara Welder, 2019. "Robust optimal discrete arc sizing for tree-shaped potential networks," Computational Optimization and Applications, Springer, vol. 73(3), pages 791-819, July.
    12. Wen, Kai & Qiao, Dan & Nie, Chaofei & Lu, Yangfan & Wen, Feng & Zhang, Jing & Miao, Qing & Gong, Jing & Li, Cuicui & Hong, Bingyuan, 2023. "Multi-period supply and demand balance of large-scale and complex natural gas pipeline network: Economy and environment," Energy, Elsevier, vol. 264(C).
    13. Mengying Xue & Tianhu Deng & Zuo‐Jun Max Shen, 2019. "Optimizing natural gas pipeline transmission with nonuniform elevation: A new initialization approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 547-564, October.
    14. 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.
    15. Massol, O. & Tchung-Ming, S., 2012. "Joining the CCS Club! Insights from a Northwest European CO2 Pipeline Project," Working Papers 12/10, Department of Economics, City University London.
    16. 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.
    17. Zarei, Javad & Amin-Naseri, Mohammad Reza, 2019. "An integrated optimization model for natural gas supply chain," Energy, Elsevier, vol. 185(C), pages 1114-1130.
    18. André, Jean & Auray, Stéphane & Brac, Jean & De Wolf, Daniel & Maisonnier, Guy & Ould-Sidi, Mohamed-Mahmoud & Simonnet, Antoine, 2013. "Design and dimensioning of hydrogen transmission pipeline networks," European Journal of Operational Research, Elsevier, vol. 229(1), pages 239-251.
    19. Yiyong Xiao & Abdullah Konak, 2017. "A variable neighborhood search for the network design problem with relays," Journal of Heuristics, Springer, vol. 23(2), pages 137-164, June.
    20. repec:cty:dpaper:1464 is not listed on IDEAS
    21. Jingkuan Han & Yingjun Xu & Dingzhi Liu & Yanfang Zhao & Zhongde Zhao & Shuhui Zhou & Tianhu Deng & Mengying Xue & Junchi Ye & Zuo-Jun Max Shen, 2019. "Operations Research Enables Better Planning of Natural Gas Pipelines," Interfaces, INFORMS, vol. 49(1), pages 23-39, January.
    22. Franziska Holz & Philipp M. Richter & Ruud Egging, 2013. "The Role of Natural Gas in a Low-Carbon Europe: Infrastructure and Regional Supply Security in the Global Gas Model," Discussion Papers of DIW Berlin 1273, DIW Berlin, German Institute for Economic Research.
    23. Chaudry, Modassar & Jenkins, Nick & Qadrdan, Meysam & Wu, Jianzhong, 2014. "Combined gas and electricity network expansion planning," Applied Energy, Elsevier, vol. 113(C), pages 1171-1187.
    24. Ralf Lenz & Felipe Serrano, 2022. "Tight Convex Relaxations for the Expansion Planning Problem," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 325-352, July.

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