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The Gas Transmission Problem Solved by an Extension of the Simplex Algorithm

Author

Listed:
  • Daniel De Wolf

    () (GREMARS, Université de Lille 3, B.P. 149, 59.653 Villeneuve d'Ascq, Cedex, France)

  • Yves Smeers

    () (CORE, Université Catholique de Louvain, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium)

Abstract

The problem of distributing gas through a network of pipelines is formulated as a cost minimization subject to nonlinear flow-pressure relations, material balances, and pressure bounds. The solution method is based on piecewise linear approximations of the nonlinear flow-pressure relations. The approximated problem is solved by an extension of the Simplex method. The solution method is tested on real-world data and compared with alternative solution methods.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:11:p:1454-1465
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    File URL: http://dx.doi.org/10.1287/mnsc.46.11.1454.12087
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    References listed on IDEAS

    as
    1. F. Palacios-Gomez & L. Lasdon & M. Engquist, 1982. "Nonlinear Optimization by Successive Linear Programming," Management Science, INFORMS, vol. 28(10), pages 1106-1120, October.
    2. Jianzhong Zhang & Nae-Heon Kim & L. Lasdon, 1985. "An Improved Successive Linear Programming Algorithm," Management Science, INFORMS, vol. 31(10), pages 1312-1331, October.
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    Cited by:

    1. Wei, Zhinong & Chen, Sheng & Sun, Guoqiang & Wang, Dan & Sun, Yonghui & Zang, Haixiang, 2016. "Probabilistic available transfer capability calculation considering static security constraints and uncertainties of electricity–gas integrated energy systems," Applied Energy, Elsevier, pages 305-316.
    2. repec:gam:jeners:v:10:y:2017:i:4:p:514-:d:95406 is not listed on IDEAS
    3. Ulstein, Nina Linn & Nygreen, Bjorn & Sagli, Jan Richard, 2007. "Tactical planning of offshore petroleum production," European Journal of Operational Research, Elsevier, vol. 176(1), pages 550-564, January.
    4. Shabanpour-Haghighi, Amin & Seifi, Ali Reza, 2015. "Multi-objective operation management of a multi-carrier energy system," Energy, Elsevier, vol. 88(C), pages 430-442.
    5. Psarras, John, 2016. "Multicriteria decision support to evaluate potential long-term natural gas supply alternatives: The case of GreeceAuthor-Name: Androulaki, Stella," European Journal of Operational Research, Elsevier, vol. 253(3), pages 791-810.
    6. Girault Vincent, 2005. "L’approvisionnement gazier sur un marche oligopolistique : une analyse par la théorie économique," Cahiers du CREDEN (CREDEN Working Papers) 05.04.56, CREDEN (Centre de Recherche en Economie et Droit de l'Energie), Faculty of Economics, University of Montpellier 1.
    7. Conrado Borraz-Sánchez & Dag Haugland, 2013. "Optimization methods for pipeline transportation of natural gas with variable specific gravity and compressibility," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 524-541, October.
    8. Zhou, Li & Liao, Zuwei & Wang, Jingdai & Jiang, Binbo & Yang, Yongrong & Du, Wenli, 2015. "Energy configuration and operation optimization of refinery fuel gas networks," Applied Energy, Elsevier, pages 365-375.
    9. Debora Mahlke & Alexander Martin & Susanne Moritz, 2007. "A simulated annealing algorithm for transient optimization in gas networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(1), pages 99-115, August.
    10. Pantoš, Miloš, 2011. "Market-based congestion management in electric power systems with increased share of natural gas dependent power plants," Energy, Elsevier, vol. 36(7), pages 4244-4255.
    11. Jin, Xiaolong & Mu, Yunfei & Jia, Hongjie & Wu, Jianzhong & Xu, Xiandong & Yu, Xiaodan, 2016. "Optimal day-ahead scheduling of integrated urban energy systems," Applied Energy, Elsevier, pages 1-13.
    12. Li, Guoqing & Zhang, Rufeng & Jiang, Tao & Chen, Houhe & Bai, Linquan & Li, Xiaojing, 2017. "Security-constrained bi-level economic dispatch model for integrated natural gas and electricity systems considering wind power and power-to-gas process," Applied Energy, Elsevier, pages 696-704.
    13. Jesco Humpola & Felipe Serrano, 2017. "Sufficient pruning conditions for MINLP in gas network design," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(1), pages 239-261, March.
    14. Britz, Wolfgang, 2014. "A New Graphical User Interface Generator for Economic Models and its Comparison to Existing Approaches," Journal of International Agricultural Trade and Development, Journal of International Agricultural Trade and Development, vol. 63(4).
    15. Jesco Humpola & Armin Fügenschuh & Thorsten Koch, 2016. "Valid inequalities for the topology optimization problem in gas network design," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 597-631, July.
    16. Li, Guoqing & Zhang, Rufeng & Jiang, Tao & Chen, Houhe & Bai, Linquan & Cui, Hantao & Li, Xiaojing, 2017. "Optimal dispatch strategy for integrated energy systems with CCHP and wind power," Applied Energy, Elsevier, pages 408-419.
    17. Chisari, Omar O. & Romero, Carlos A., 2008. "Investment decisions in electricity transmission in Argentina: The role of earmarked funds and gas pipeline expansions," Energy Economics, Elsevier, vol. 30(4), pages 1321-1333, July.
    18. Massol, O., 2011. "A cost function for the natural gas transmission industry: further considerations," Working Papers 11/03, Department of Economics, City University London.
    19. repec:eee:energy:v:125:y:2017:i:c:p:848-859 is not listed on IDEAS
    20. Jesco Humpola & Armin Fügenschuh, 2015. "Convex reformulations for solving a nonlinear network design problem," Computational Optimization and Applications, Springer, vol. 62(3), pages 717-759, December.
    21. Ríos-Mercado, Roger Z. & Borraz-Sánchez, Conrado, 2015. "Optimization problems in natural gas transportation systems: A state-of-the-art review," Applied Energy, Elsevier, pages 536-555.
    22. Hamedi, Maryam & Zanjirani Farahani, Reza & Husseini, Mohammad Moattar & Esmaeilian, Gholam Reza, 2009. "A distribution planning model for natural gas supply chain: A case study," Energy Policy, Elsevier, vol. 37(3), pages 799-812, March.

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