Nonlinear Optimization in Gas Networks

Ehrhardt, K.; Steinbach, Marc C.

doi:10.1007/3-540-27170-8_11

Cited by 67 publications

(78 citation statements)

References 8 publications

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“…The problem of the control of compressor stations in gas networks arises in the daily operation of gas networks and has been studied under a variety of aspects in the recent literature, see for example [1,2,6,14,27,28,[30][31][32][33][34]36]. The major physical effect in the transportation of gas through a network is the pipe-wall friction which induces a pressure loss along the pipe.…”

Section: Introductionmentioning

confidence: 99%

Existence of classical solutions and feedback stabilization for the flow in gas networks

Gugat¹,

Herty²

2009

ESAIM: COCV

102

105

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Abstract.We consider the flow of gas through pipelines controlled by a compressor station. Under a subsonic flow assumption we prove the existence of classical solutions for a given finite time interval. The existence result is used to construct Riemannian feedback laws and to prove a stabilization result for a coupled system of gas pipes with a compressor station. We introduce a Lyapunov function and prove exponential decay with respect to the L 2 -norm.Mathematics Subject Classification. 76N25, 35L50, 93C20.

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Section: Introductionmentioning

confidence: 99%

Existence of classical solutions and feedback stabilization for the flow in gas networks

Gugat¹,

Herty²

2009

ESAIM: COCV

102

105

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“…8) was considered as the third supplementary equation: (8) For which, Equation (9) was used for compressibility factor as a function of the reduced pressure (the ratio of actual pressure to the gas critical pressure, p/p c ), and the reduced temperature (the ratio of actual temperature to the gas critical temperature, T/T c ) [20][21][22]: (9) Although there are more accurate equations of state, EOS, (e.g. AGA, SRK, PR and BWRS [23], and GERG [24]) or correlations for compressibility factors (e.g.…”

Section: Pipelinementioning

confidence: 99%

“…Equations (17)(18)(19)(20)(21)(22)(23) show the governing equations of gas flow passing through a typical compressor.…”

Section: Compressormentioning

confidence: 99%

“…The compressor discharge temperature after gas compression: (20) It is noteworthy that the pipeline modeling presented in this paper (Sect. 1.1) takes into account the real-gas effects, while Equations (19) and (20) are based on ideal-gas model.…”

Section: Compressormentioning

confidence: 99%

“…1.1) takes into account the real-gas effects, while Equations (19) and (20) are based on ideal-gas model. This is a commonly adopted simplification in pipeline flow simulations as indicated in Reference [31].…”

Section: Compressormentioning

confidence: 99%

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Technical Assessment of Isothermal and Non-Isothermal Modelings of Natural Gas Pipeline Operational Conditions

Sanaye

Mahmoudimehr

2012

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Résumé -Évaluation technique de modélisations isothermes et non isothermes de conditions opérationnelles de conduites de gaz naturel -Une modélisation d'équipement au sein d'un gazoduc a été réalisée en dérivant une nouvelle forme d'ensemble d'équations de conservation pour un écoulement compressible. Une section du troisième réseau de distribution de gaz iranien (Nourabad-PatavehDorahan, N-P-D) a été ensuite étudiée selon des approches de modélisation isotherme (IT) et non isotherme (NIT) en prenant en compte les effets de la température du sol. Dans la première partie, le fonctionnement en régime stationnaire du gazoduc N-P-D, comprenant une station de compresseurs à Pataveh, a été étudié. Pour les valeurs connues de débit massique de gaz naturel et de pression de gaz d'entrée/sortie aux points Nourabad/Dorahan, les modélisations IT et NIT ont présenté respectivement des écarts maximaux en pourcentages d'environ 33,7 %, 16,6 % et 23 % en ce qui concerne la tête des compresseurs, la vitesse de rotation des compresseurs et les taux de consommation de carburant. Dans la deuxième partie, le fonctionnement instable du gazoduc N-P-D, dû à l'arrêt d'un compresseur à la station de compresseurs de Pataveh (PCS: Pataveh Compressor Station), a été étudié. Les résultats ont confirmé qu'à des températures de sol faibles (0 et 20°C), les compresseurs restants pouvaient compenser la perte d'un compresseur. Toutefois, à des températures de sol supérieures (40 et 50°C), les compresseurs devaient tourner plus vite que la vitesse maximale acceptable pour parvenir à délivrer un certain débit massique sans réduction de la pression de gazoduc requise. Dans tous les cas étudiés ci-dessus, le temps de calcul de la modélisation non isotherme a été approximativement trois fois plus long que celui de la modélisation isotherme. Abstract -Technical Assessment of Isothermal and Non-Isothermal Modelings of Natural Gas Pipeline Operational Conditions -Modeling of equipment in a gas pipeline was performed here by deriving a new form of conservation equation set for compressible flow. Then a section of the third Iranian gas transmission pipeline (Nourabad-Pataveh-Dorahan, N-P-D) was investigated by isothermal (IT) and non-isothermal (NIT) modeling approaches taking into

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Simulation of transient gas flow at pipe‐to‐pipe intersections

Herty

Seaı̈d

2007

Numerical Methods in Fluids

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SUMMARYWe numerically investigate a well-established mathematical model for gas flow in pipeline networks. The emphasis is given to the description of coupling conditions at pipe-to-pipe intersections. The accurate prediction of these coupling conditions is essential in order to achieve good performance and reliable numerical simulations of network simulations. Nowadays, a variety of theoretical results for a reduced geometry exists. We conduct a numerical simulation of the two-dimensional representation at a pipe intersection. The results are used for verification and comparison with known theoretical results. High-order and non-oscillatory discretizations are used for solving the governing equations of gas flow. Verifications are conducted for two types of junctions to analyse the most adequate coupling conditions.

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Nonlinear Optimization in Gas Networks

Cited by 67 publications

References 8 publications

Existence of classical solutions and feedback stabilization for the flow in gas networks

Existence of classical solutions and feedback stabilization for the flow in gas networks

Technical Assessment of Isothermal and Non-Isothermal Modelings of Natural Gas Pipeline Operational Conditions

Simulation of transient gas flow at pipe‐to‐pipe intersections

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