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Generalization of Methods for Calculating Steady-State Flow Distribution in Pipeline Networks for Non-Conventional Flow Models

Author

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  • Nikolay Novitsky

    (Melentiev Energy Systems Institute of Siberian Branch, Russian Academy of Science, Lermontov St. 130, 664033 Irkutsk, Russia)

  • Egor Mikhailovsky

    (Melentiev Energy Systems Institute of Siberian Branch, Russian Academy of Science, Lermontov St. 130, 664033 Irkutsk, Russia)

Abstract

This paper proposes generalized models and methods for calculating flow distribution in hydraulic circuits with lumped parameters. The main models of the isothermal steady-state flow of medium are classified by an element of the hydraulic circuit. These models include conventional, implicitly specified by flow rate, and pressure-dependent ones. The conditions for their applicability, which ensure the existence and uniqueness of a solution to the flow distribution problem, are considered. We propose generalized nodal pressure and loop flow rate methods, which can be applied regardless of the forms of specific element models. Final algorithms, which require lower computational costs versus the known approaches designed for non-conventional flow models, are substantiated. Proposed models, methods, algorithms, and their capabilities, are analytically and numerically illustrated by an example of a fragment of gas transmission network with compressor stations.

Suggested Citation

  • Nikolay Novitsky & Egor Mikhailovsky, 2021. "Generalization of Methods for Calculating Steady-State Flow Distribution in Pipeline Networks for Non-Conventional Flow Models," Mathematics, MDPI, vol. 9(8), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:796-:d:531521
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    References listed on IDEAS

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    1. Cavalieri, Francesco, 2017. "Steady-state flow computation in gas distribution networks with multiple pressure levels," Energy, Elsevier, vol. 121(C), pages 781-791.
    2. Novitsky, N.N. & Alekseev, A.V. & Grebneva, O.A. & Lutsenko, A.V. & Tokarev, V.V. & Shalaginova, Z.I., 2019. "Multilevel modeling and optimization of large-scale pipeline systems operation," Energy, Elsevier, vol. 184(C), pages 151-164.
    3. Dejan Brkić, 2011. "Iterative Methods for Looped Network Pipeline Calculation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(12), pages 2951-2987, September.
    4. Brkic, Dejan, 2009. "An improvement of Hardy Cross method applied on looped spatial natural gas distribution networks," Applied Energy, Elsevier, vol. 86(7-8), pages 1290-1300, July.
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