Existence of solution to a model for gas transportation networks on non-flat topography

Bermúdez, Alfredo; González‐Díaz, Julio; González-Diéguez, Francisco J.

doi:10.1016/j.nonrwa.2017.02.003

Cited by 7 publications

(4 citation statements)

References 11 publications

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“… 18 More recently, NLP formulations have been significantly extended, for example, by taking into consideration compressibility of the gas 19 or networks on undulating landscapes. 20 A feature that is missing in the LP and NLP formulations is the possibility to switch pipe components on or off. With the addition of binary or integer variables, the linear problem can be extended to a mixed integer linear programming problem (MILP).…”

Section: Introductionmentioning

confidence: 99%

“…NLP formulations were often applied in early studies of gas transportation problems, such as in the work of Wong and Larson on the compression minimization problem published already in 1968 . More recently, NLP formulations have been significantly extended, for example, by taking into consideration compressibility of the gas or networks on undulating landscapes . A feature that is missing in the LP and NLP formulations is the possibility to switch pipe components on or off.…”

Section: Introductionmentioning

confidence: 99%

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Mixed Integer Linear Programming Optimization of Gas Supply to a Local Market

Mikolajková

Saxén

Pettersson

2018

Ind. Eng. Chem. Res.

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Remote or stranded areas that cannot be supplied by natural gas through transmission pipelines can access gas through terminals for liquefied natural gas (LNG), from where LNG is distributed by trucks or compressed and regasified into regional distribution networks. The gas supply may be further augmented by local biogas or synthetic natural gas. A model for optimization of such regional gas supply chains is presented in the paper, considering a combination of pipeline and truck delivery to a set of customers with given energy demands. After linearization, the task is formulated as a mixed integer linear programming (MILP) problem and is solved by state-of-the-art software. The model is illustrated on a regional energy supply problem considering seasonal variations in the demands. The results of the study demonstrate the role of the price of the local and alternative fuels and the price margins at which it is feasible to build an extensive pipeline network instead of supplying the fuel by trucks to storages connected to pipeline islands. The findings also give information about the influence on investment versus operation costs on the optimal design of the supply chain. The sensitivity of the optimal supply chain on the price of local and alternative fuels as well as on the unit price of pipes and storage tanks is studied to illustrate how optimization can be used to shed light on the feasibility of investment in new infrastructure and to support the decision making processes in the energy sector.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed Integer Linear Programming Optimization of Gas Supply to a Local Market

Mikolajková

Saxén

Pettersson

2018

Ind. Eng. Chem. Res.

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“…The question of existence and uniqueness of flow distribution always was in focus of interest of piping networks researchers ( [1], [2], [3]). This problem was studied by Merenkov and Hasilev [4], and Suharev [5,6].…”

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confidence: 99%

Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations

Korelstein¹

2019

E3S Web Conf.

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Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved. The closure relation can have very general form, restricted only by continuity and monotonicity conditions necessary for providing existence, uniqueness and continuity of flow distribution problem for each branch. It is shown that network as a whole “inherits” monotonicity and continuity of its branches behavior, and this provides existence and uniqueness of solution.

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“…Внутренняя структура уравнений терпит значительные изменения при учете топологии газопровода [2,3], двухфазности потока с изменением агрегатного состава [4][5][6], привлечения уравнений турбулентности потока в различных модификациях [7], существительного изменения температуры транспортируемой среда [3], переходных процессов [8], утечки [9][10][11] и других уточняющих факторов [12].…”

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Investigation of the Gas-Dynamic State of an Elementary Section of the Pipeline Based on N.E. Zhukovsky Equation.

Khujaev¹,

Ahmadjanov²,

Khujaev³

et al. 2019

Theoretical & Applied Science

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The process of propagating abrupt changes in mass flow formed by partial or complete overlap of one or two ends of a linear section of a pipeline has been studied in the framework of N.E. Zhukovsky. The pressure drop across the pipe is determined by the resistance force, and the propagation velocity of small pressure perturbations is compiled taking into account the compression coefficient of the liquid, the physical and geometric parameters of the pipe. From the initial equations, a parabolic equation for mass flow is constructed, which is solved by the Fourier method. The obtained solution was used to solve the system of equations for hydrostatic pressure. Numerical results are presented that can be interpreted both from the point of view of wave propagation in a compressible and incompressible fluid in a pipeline, and from the point of view of propagation of longitudinal elastic waves in a rod.

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Existence of solution to a model for gas transportation networks on non-flat topography

Cited by 7 publications

References 11 publications

Mixed Integer Linear Programming Optimization of Gas Supply to a Local Market

Mixed Integer Linear Programming Optimization of Gas Supply to a Local Market

Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations

Investigation of the Gas-Dynamic State of an Elementary Section of the Pipeline Based on N.E. Zhukovsky Equation.

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