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

Nikolay Novitsky and Egor Mikhailovsky
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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

Mathematics, 2021, vol. 9, issue 8, 1-16

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.

Keywords: pipeline system; hydraulic circuit; flow distribution problem; flow models; mathematical and computer modeling (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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