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A Reduction Technique for Natural Gas Transmission Network Optimization Problems

Author

Listed:
  • Roger Ríos-Mercado
  • Suming Wu
  • L. Scott
  • E. Boyd

Abstract

We address the problem of minimizing the fuel consumption incurred by compressor stations in steady-state natural gas transmission networks. In the practical world, these type of instances are very large, in terms of the number of decision variables and the number of constraints, and very complex due to the presence of non-linearity and non-convexity in both the set of feasible solutions and the objective function. In this paper we present a study of the properties of gas pipeline networks, and exploit them to develop a technique that can be used to reduce significantly problem dimension, without disrupting problem structure, making it more amenable to solution. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:117:y:2002:i:1:p:217-234:10.1023/a:1021529709006
    DOI: 10.1023/A:1021529709006
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    Cited by:

    1. Fakhry, Ramy & Hassini, Elkafi & Ezzeldin, Mohamed & El-Dakhakhni, Wael, 2022. "Tri-level mixed-binary linear programming: Solution approaches and application in defending critical infrastructure," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1114-1131.
    2. Tianhu Deng & Yong Liang & Shixuan Zhang & Jingze Ren & Shuyi Zheng, 2019. "A Dynamic Programming Approach to Power Consumption Minimization in Gunbarrel Natural Gas Networks with Nonidentical Compressor Units," INFORMS Journal on Computing, INFORMS, vol. 31(3), pages 593-611, July.
    3. Sergei Schreider & Jonathan Plummer & Daniel McInnes & Boris Miller, 2015. "Sensitivity analysis of gas supply optimization models," Annals of Operations Research, Springer, vol. 226(1), pages 565-588, March.
    4. Tanja Clees, 2022. "Contingency analysis for gas transport networks with hydrogen injection," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(3), pages 533-563, June.
    5. Tran, Trung Hieu & French, Simon & Ashman, Rhys & Kent, Edward, 2018. "Linepack planning models for gas transmission network under uncertainty," European Journal of Operational Research, Elsevier, vol. 268(2), pages 688-702.
    6. Daniel de Wolf, 2017. "Mathematical Properties of Formulations of the Gas Transmission Problem," Post-Print halshs-02396747, HAL.
    7. Sukharev, Mikhail G. & Kosova, Ksenia O. & Popov, Ruslan V., 2019. "Mathematical and computer models for identification and optimal control of large-scale gas supply systems," Energy, Elsevier, vol. 184(C), pages 113-122.
    8. Liang, Yingzong & Hui, Chi Wai, 2018. "Convexification for natural gas transmission networks optimization," Energy, Elsevier, vol. 158(C), pages 1001-1016.
    9. Grimm, Veronika & Grübel, Julia & Schewe, Lars & Schmidt, Martin & Zöttl, Gregor, 2019. "Nonconvex equilibrium models for gas market analysis: Failure of standard techniques and alternative modeling approaches," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1097-1108.
    10. Fränk Plein & Johannes Thürauf & Martine Labbé & Martin Schmidt, 2022. "A bilevel optimization approach to decide the feasibility of bookings in the European gas market," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(3), pages 409-449, June.
    11. Ríos-Mercado, Roger Z. & Borraz-Sánchez, Conrado, 2015. "Optimization problems in natural gas transportation systems: A state-of-the-art review," Applied Energy, Elsevier, vol. 147(C), pages 536-555.
    12. 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.
    13. Krebs, Vanessa & Schewe, Lars & Schmidt, Martin, 2018. "Uniqueness and multiplicity of market equilibria on DC power flow networks," European Journal of Operational Research, Elsevier, vol. 271(1), pages 165-178.
    14. Johannes Thürauf, 2022. "Deciding the feasibility of a booking in the European gas market is coNP-hard," Annals of Operations Research, Springer, vol. 318(1), pages 591-618, November.

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