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A Dynamic Programming Approach to Power Consumption Minimization in Gunbarrel Natural Gas Networks with Nonidentical Compressor Units

Author

Listed:
  • Tianhu Deng

    (Department of Industrial Engineering, Tsinghua University, Beijing 100084, China;)

  • Yong Liang

    (Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing 100084, China;)

  • Shixuan Zhang

    (Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing 100084, China;)

  • Jingze Ren

    (PBC School of Finance, Tsinghua University, Beijing 100083, China;)

  • Shuyi Zheng

    (Heinz College, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213)

Abstract

Inspired by the widespread and increasing usage of natural gas, we study the power consumption minimization problem associated with natural gas pipeline transmission in gunbarrel networks with nonidentical compressors. To accurately and flexibly model both gas flow dynamics and compressor working domains, we formulate the problem as a dynamic programming problem. Then we propose an approximate solution approach based on state dimension reduction. We analyze the problem properties and characterize conditions under which optimality is not compromised by the proposed solution approach. Next, we conduct numerical experiments using two data sets based on real networks in China and a data set from the public library GasLib. Numerical results demonstrate that the proposed solution approach significantly reduces computation time without compromising optimality in most cases. Specifically, the proposed solution approach obtains optimal solutions more than a 100 times faster than the exhaustive search when gas pressures are discretized at 0.01 MPa. Further, the optimality gaps do not exceed 0.4%.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:orijoc:v:31:y:2019:i:3:p:593-611
    DOI: 10.1287/ijoc.2018.0833
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    References listed on IDEAS

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    1. Frode Rømo & Asgeir Tomasgard & Lars Hellemo & Marte Fodstad & Bjørgulf Haukelidsæter Eidesen & Birger Pedersen, 2009. "Optimizing the Norwegian Natural Gas Production and Transport," Interfaces, INFORMS, vol. 39(1), pages 46-56, February.
    2. 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.
    3. 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).
    4. Pia Domschke & Bjorn Geißler & Oliver Kolb & Jens Lang & Alexander Martin & Antonio Morsi, 2011. "Combination of Nonlinear and Linear Optimization of Transient Gas Networks," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 605-617, November.
    5. 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.
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    Cited by:

    1. Shixuan Zhang & Sheng Liu & Tianhu Deng & Zuo-Jun Max Shen, 2020. "Transient-State Natural Gas Transmission in Gunbarrel Pipeline Networks," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 697-713, July.
    2. 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).

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